60 is 75% of what number?

Answers

Answer 1

Answer:

80

60 is in the numerator because 60 is equivalent to the 75%. The number is 80.

Step-by-step explanation:

Answer 2

Answer:

80

Step-by-step explanation:

60 is in the numerator because 60 is equivalent to 75%. The number is 80.


Related Questions

The outside temperature is -13 degrees. The temperature drops by 9 degrees, but then increases by 16 degrees. What is the final temperature outside? *

Answers

Answer:

The final outside temperature = -6°

Step-by-step explanation:

GIven that :

the outside temperature = -13°

The temperature drops by 9°

But then increases by 16°.

The final temperature can be expressed as:

the outside temperature - temperature drop

= -( 13° - 9°)

= - 22°

it is said that the temperature later increase by 16°

∴  - 22° + 16°

= -6°

The final outside temperature = -6°

Edge unit test nonlinear functions​

Edge unit test nonlinear functions

Answers

Answer:

A) 0

Step-by-step explanation:

hope this helps, pls mark brainliest :D

somebody helppppp !!!

somebody helppppp !!!

Answers

the first one!! it should be correct

Solve x- 7.5 = 4.1 for x.​

Answers

Answer: x = 11.6

Step-by-step explanation: 11.6 - 7.5 = 4.1

please solve :( i can’t figure it out whatsoever

please solve :( i cant figure it out whatsoever

Answers

Answer:

  a) see attached

  b) 15015 meters

Step-by-step explanation:

You want the voltage, current, resistance, and power for each component of the circuit shown in the diagram.

Voltage and current laws

The relevant circuit relations are ...

Kirchoff's voltage law: the sum of voltages around a loop is zeroKirchoff's current law: the sum of currents into a node is zeroOhm's law: voltage is the product of current and resistanceSeries: elements in series have the same currentParallel: elements in parallel have the same voltage

Voltage

Given current and resistance for element 1, we immediately know its voltage is ...

  V = IR = (4)(10) = 40 . . . . volts

Given the voltage on element 3, we know that parallel element 2 has the same voltage: 30 volts.

Given the voltage at T is 90 volts, the sum of voltages on elements 1, 2, and 4 must be 90 volts. That means the voltage on element 4 is ...

  90 -(40 +30) = 20

Current

The current in elements 1, 4, and T are all the same, because these elements are in series. They are all 4 amperes.

That 4 ampere current is split between elements 2 and 3. The table tells us that element 2 has a current of 1 ampere, so element 3 must have a current of ...

  4 - 1 = 3 . . . . amperes

Resistance

The resistance of each element is the ratio of voltage to current:

  R = V/I

Dividing the V column by the I column gives the values in the R column.

Note that power source T does not have a resistance of 22.5 ohms. Rather, it is supplying power to a circuit with an equivalent resistance of 22.5 ohms.

Power

Power is the product of voltage and current. Multiplying the V and I columns gives the value in the P column.

Note that the power supplied by the source T is the sum of the powers in the load elements.

b) Wavelength

We found that the transmitter is receiving a power of 90 watts, so its operating frequency is ...

  (90 W)×(222 Hz/W) = 19980 Hz

Then the wavelength is ...

  λ = c/f

  λ = (3×10⁸ m/s)/(19980 cycles/s) ≈ 15015 m/cycle

The wavelength of the broadcast is about 15015 meters.

__

Additional comment

The voltage and current relations are "real" and used by circuit analysts everywhere. The relationship of frequency and power is "made up" specifically for this problem. You will likely never see such a relationship again, and certainly not in "real life."

Kirchoff's voltage law (KVL) means the sum of voltage rises (as at T) will be the sum of voltage drops (across elements 1, 2, 4).

Kirchoff's current law (KCL) means the sum of currents into a node is equal to the sum of currents out of the node. At the node between elements 1 and 2, this means the 4 amps from element 1 into the node is equal to the sum of the currents out of the node: 1 amp into element 2 and the 3 amps into element 3.

As with much of math and physics, there are a number of relations that can come into play in any given problem. You are expected to remember them all (or have a ready reference).

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please solve :( i cant figure it out whatsoever
please solve :( i cant figure it out whatsoever

6. julio has an average bowling score of 180 and bowls in a league where the average for all bowlers is 150 and the standard deviation is 20. jarred has an average bowling score of 190 and bowls in a league where the average is 160 and the standard deviation is 15. who ranks higher in his own league, julio or jarred? explain your reasoning.

Answers

To predict a linear regression score, you first need to train a linear regression model using a set of training data.

Once the model is trained, you can use it to make predictions on new data points. The predicted score will be based on the linear relationship between the input variables and the target variable,

A higher regression score indicates a better fit, while a lower score indicates a poorer fit.

To predict a linear regression score, follow these steps:

1. Gather your data: Collect the data p

points (x, y) for the variable you want to predict (y) based on the input variable (x).

2. Calculate the means: Find the mean of the x values (x) and the mean of the y values (y).

3. Calculate the slope (b1): Use the formula b1 = Σ[(xi - x)(yi - y)]  Σ(xi - x)^2, where xi and yi are the individual data points, and x and y are the means of x and y, respectively.

4. Calculate the intercept (b0): Use the formula b0 = y - b1 * x, where y is the mean of the y values and x is the mean of the x values.

5. Form the linear equation: The linear equation will be in the form y = b0 + b1 * x, where y is the predicted value, x is the input variable, and b0 and b1 are the intercept and slope, respectively.

6. Predict the linear regression score: Use the linear equation to predict the value of y for any given value of x by plugging the x value into the equation. The resulting y value is your predicted linear regression score.

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Read the problem. Write your answer for each part.
3. The table shows how the length of Alex's pet lizard is changing
over time.

Write an equation using x and y to find the length of the lizard
based on its age.

Read the problem. Write your answer for each part.3. The table shows how the length of Alex's pet lizard

Answers

Equation y=2.4x+2.6 is used to find the length of the age based on its ages

We have to find the equation of the length of Alex's pet lizard is changing

over time.

Slope = 9.8-7.4/3-2

=2.4

Now let us find the y intercept

5=2.4(1)+b

5-2.4=b

2.6=b

Hence, equation y=2.4x+2.6 is used to find the length of the age based on its ages

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What is the sum of the reciprocals of all the factors of 24. Both 1 and 24 are
considered to be factors of 24.

A: 59/24
B: 5/2
C: 65/24
D: 53/24
E: 41/24

Answers

Answer:

B

Step-by-step explanation:

1+2+3+4+6+8+12+24=60

60/24=5/2

so,B is the answer

The sum of all the reciprocals of the factors of 24 is 5/2.

What is fraction?

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.

The factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24.

The reciprocals of all the factors of 24 are;

1/1, 1/2, 1/3, 1/4, 1/6, 1/8, 1/12, 1/24

The sum of all the factors of 24:

1/1 + 1/2 + 1/3 + 1/4 + 1/6 + 1/8 + 1/12 + 1/24

Take LCM of the fractions:

1/1 + 1/2 + 1/3 + 1/4 + 1/6 + 1/8 + 1/12 + 1/24

= (24 + 12 + 8 + 6 + 4 + 3 + 2 + 1) / 24

1/1 + 1/2 + 1/3 + 1/4 + 1/6 + 1/8 + 1/12 + 1/24

= 60 / 24

Hence, the fraction:

1/1 + 1/2 + 1/3 + 1/4 + 1/6 + 1/8 + 1/12 + 1/24

= 5/2

Therefore, 5/2 is the sum of all the reciprocals of the factors of 24.

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1. uniform ml estimation. let x ⇠unif [a, 1] with unknown a. to estimate a, we use a training set {xi}ni=1 generated i.i.d. unif [a, 1]. let ˆxn = min {x1, x 2, æææ, x n}. find the ml estimator of a.

Answers

The maximum likelihood estimator of a is the minimum of the n observations {xi}

The data is generated i.i.d. from a uniform distribution [a, 1], the probability density function (pdf) of each observation is given by:

f(x; a) = 1/(1-a), for a ≤ x ≤ 1

= 0, otherwise

The likelihood function for n observations {xi}ni=1 is the product of their individual pdfs:

L(a; x1, x2, ..., xn) = ∏(1/(1-a)) = (1/(1-a))ⁿ, for a ≤ xi ≤ 1 for all i

The maximum likelihood estimate of a, we need to find the value of a that maximizes the likelihood function.

We can do this by finding the derivative of the log-likelihood function and setting it to zero:

ln L(a; x1, x2, ..., xn) = n ln(1/(1-a))

d/d(a) ln L(a; x1, x2, ..., xn) = -n/(1-a)

Setting the derivative to zero, we get:

n/(a-1) = 0

The derivative is negative for a < 1 and positive for a > 1, the maximum likelihood estimate of a is the smallest observation in the sample:

\(\^a = \^xn\)

= min {x1, x2, ..., xn}

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The maximum likelihood (ML) estimator of parameter a in the uniform distribution is ˆa = ˆxn.

In this scenario, we have a random variable x that follows a uniform distribution on the interval [a, 1]. The goal is to estimate the unknown parameter a using a training set {xi}ni=1, where each xi is independently and identically distributed (i.i.d.) from the uniform distribution on the same interval [a, 1].

The ML estimator seeks to find the parameter value that maximizes the likelihood function, which measures the probability of obtaining the observed data. In this case, the likelihood function is based on the order statistics of the training set.

The order statistic ˆxn represents the minimum value among the observations in the training set. Since the minimum value occurs when x is closest to the lower bound a, it is reasonable to use ˆxn as the ML estimator for a.

Therefore, the ML estimator of parameter a is ˆa = ˆxn, which corresponds to the minimum value observed in the training set.

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ten days after it was launched toward mars in december 1998, the mars cli- mate orbiter spacecraft (mass 629 kg) was 2.87 x 106km from the earth and traveling at 1.20 x 104km/h relative to the earth

Answers

The kinetic energy of the Mars Climate Orbiter spacecraft is approx    3.31 x 10^7 joules.

To determine the kinetic energy of the Mars Climate Orbiter spacecraft, we can use the formula:

Kinetic energy = (1/2) * mass * velocity^2

Given:

Mass of the spacecraft (m) = 629 kg

Velocity of the spacecraft (v) = 1.20 x 10^4 km/h

First, we need to convert the velocity from km/h to m/s:

1 km = 1000 m

1 h = 3600 s

Velocity in m/s = (1.20 x 10^4 km/h) * (1000 m/km) / (3600 s/h) ≈ 333.33 m/s

Now, we can calculate the kinetic energy:

Kinetic energy = (1/2) * (629 kg) * (333.33 m/s)^2

Kinetic energy ≈ 3.31 x 10^7 joules

Therefore, the kinetic energy of the Mars Climate Orbiter spacecraft is approximately 3.31 x 10^7 joules.

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The city of Dallas conducted a survey on public transportation to understand the traffic crisis. According to the results, 60% of the residents use their own car daily. 40% of the residents are under the age of 35 and drive a car. It is known that 45% of the residents are under the age of 35. If a resident drives their car daily, what is the probability that they are under 35?

In the above survey, if the responses to, "What is your predominant mode of transportation" are 40% of adults use their own car, 30% use train, 20% use bus & 10% walk

If event "A" - using Car and event "B" - using train. Are they mutually exclusive and exhaustive? Explain.

What is the probability that a resident does not use bus?

Answers

The probability that a resident drives their car daily and is under 35 is 0.30. The probability that a resident does not use the bus is 0.80. The probability that a resident drives their car daily and is under 35 can be calculated using conditional probability.

Let A represent the event of driving a car daily and B represent the event of being under 35. We want to find P(B|A), the probability of being under 35 given that the person drives a car daily.

Using Bayes' theorem, we have P(B|A) = (P(A|B) * P(B)) / P(A). We are given that P(A) = 0.60 (probability of driving a car daily), P(B) = 0.45 (probability of being under 35), and P(A|B) = 0.40 (probability of driving a car daily given that the person is under 35). Plugging these values into the formula, we can calculate P(B|A) as follows:

P(B|A) = (0.40 * 0.45) / 0.60 = 0.30

Therefore, the probability that a resident drives their car daily and is under 35 is 0.30.

For the second question, events A (using car) and B (using train) are not mutually exclusive and exhaustive. Mutually exclusive events cannot occur simultaneously, but in this case, it is possible for a resident to use both a car and a train as their predominant modes of transportation.

To calculate the probability that a resident does not use the bus, we need to subtract the probability of using the bus from 1. Given that 20% of residents use the bus, the probability of not using the bus is 1 - 0.20 = 0.80.

Therefore, the probability that a resident does not use the bus is 0.80.

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Paul, Fiona and Pip share some sweets in the ratio 4:1:3. Paul gets 10 more sweets
than Pip. How many sweets are there altogether?

Answers

4x10= 40 sweets. (Paul)
1x 10= 10 sweets. (Fiona)
3x10=30 sweets (pip)
40+10+30= 80
80 sweets all together.

find the measure of angle of hmg

PLS HELP AND SHOW WORK​

find the measure of angle of hmgPLS HELP AND SHOW WORK

Answers

Answer:

70 degrees

Step-by-step explanation:

Angle HMK = 50 degrees

Angles LMK, MLK and MKL are equal to 60 degrees, being in a perfectly congruent triangle which they all add up to 180 degrees.

Add 60 to 50 = 110

180 - 110 = 70 degrees, equal to angle HMG.

This is because the line that angles LMK, HMK and HMG are on is supplementary.

help me with this pls

help me with this pls

Answers

Answer:

m=76

Step-by-step explanation:

Winter Wonderland charges children $0.50 per ride down the sledding hill plus an entrance fee. Todd sled down the hill 16 times and paid $18 for his time at winter wonderland.


What is the equation in y=mx+b form?

Answers

The equation of the amount to be paid by anyone using the ride in slope intercept form is; y = 0.5x + 10

How to write an equation in slope intercept form?

The general form of the equation of a Line in slope intercept form is;

y = mx + b

where;

m is slope

b is y-intercept

Now, we are told that;

Amount charge by Winter Wonderland per child = $0.50

We are told that there is a separate entrance fee.

Amount of times todd sled down the hill = 16 times

Amount paid by todd = $18

Thus, using the slope intercept form, we have;

18 = 0.5(16) + b

18 = 8 + b

b = 10

Thus, the equation of this amount to be paid in slope intercept form is;

y = 0.5x + 10

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A person bought some Australian dollar of NRs 1,50,000 according to the exchange rate. Australian dollar 1 = NRs 77.02. After five days, in compare to Australian dollar the Nepali currency is devaluated by 5%. What is the profit or loss of that person when he exchanged the dollors he had into Nepali rupees again in that day? Find it.​

Answers

Answer:

  5.26% profit (NRs 7,894.24)

Step-by-step explanation:

The exchange of 1,50,000 NRs to A$ will give ...

  A$ 1/(NRs 77.02) = x /1,50,000

  x = A$ 1,50,000/77.02 = A$ 1947.54 . . . . . (rounded down)

If the Nepali rupees are devalued by 5%, then what did buy A$ 1 will now buy only A$ 0.95. Then the exchange back to NRs will give ...

  (NRs 77.02)/(A$ 0.95) = x/(A$ 1947.54)

  x = NRs (1947.54)(77.02/0.95) = NRs 1,57,894.24

The effective profit is the difference from the amount initially exchanged, NRs 7,894.24, or ...

  (1,57,984.24/1,50,000 -1) × 100% ≈ 5.26%

__

Additional comment

Except for the loss in the exchange due to rounding down, the profit would be 1/0.95 -1 = 5.2632%. Instead, it is 5.2628%. This is why investors move their money to investments that retain their value when the local currency is losing its value.

20 OF POINTS OFFERED.

20 OF POINTS OFFERED.

Answers

Answer:

\(f(x) = (x - 3)( {x}^{2} + 3x - 2)\)

Step-by-step explanation:

\((x - 3)( {x}^{2} + 3x - 2) \\ {x}^{3} + 3 {x}^{2} - 2x - 3 {x}^{2} - 9x + 6 \\ {x}^{3} - 2x - 9x + 6 \\ {x}^{3} - 11x + 6\)

Solve the following system of equations X – 2y = 14 x + 3y = 9

Answers

I recommend you to use PHOTOMATH for math question like this , you just take a picture of the work and it’ll tell you how to do it , hope it’ll help you

Can you please help will give brainliest please

Can you please help will give brainliest please
Can you please help will give brainliest please

Answers

The perimeter is 18. Which would be the distance.

Answer: Tyler traveled 16 blocks

Step-by-step explanation:

Can you please help will give brainliest please

Find the radius of convergence, R, of the series. [infinity] 7(−1)nnxn n = 1 R = Incorrect: Your answer is incorrect. Find the interval, I, of convergence of the series. (Enter your answer using interval notation.) I = Incorrect: Your answer is incorrect.

Answers

the radius of convergence (R) is ∞, and the interval of convergence (I) is (-∞, ∞).

To find the radius of convergence (R) and the interval of convergence (I) of the series given by:

∑ 7(-1)^(n-1) n^n x^n

We can apply the ratio test. The ratio test states that if the limit of the absolute value of the ratio of consecutive terms is L as n approaches infinity, then the series converges absolutely if L < 1, diverges if L > 1, and the test is inconclusive if L = 1.

Let's apply the ratio test to the given series:

L = lim(n→∞) |(7(-1)^(n-1) (n+1)^(n+1) x^(n+1)) / (7(-1)^(n) n^n x^n)|

Simplifying and canceling out common factors:

L = lim(n→∞) |(7(n+1) x) / (n^n)|

Taking the absolute value:

L = lim(n→∞) |7(n+1) x / n^n|

Now, let's evaluate the limit:

L = |7x| lim(n→∞) (n+1) / n^n

The limit can be further simplified by applying the ratio test for the sequence:

lim(n→∞) (n+1) / n^n = 0

Therefore, the limit L simplifies to:

L = |7x| * 0 = 0

Since L = 0, which is less than 1, the ratio test indicates that the series converges absolutely for all values of x. Thus, the series converges for all x.

For a series that converges for all x, the radius of convergence (R) is infinite (∞), and the interval of convergence (I) is the entire real number line (-∞, ∞).

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198.447 rounded to the nearest whole number.

Answers

198 is the answer! Hope this helps

Answer:

25

Step-by-step explanation:

Brainliest me pls

Have a nice day! <3

16. Label the following statements as true or false:
o Every real number is a rational number.
b) Every whole number is an integer.
c) Some irrational numbers are integers.
d) Some integers are natural numbers.

Answers

Answer:

A.) True

B.) True

C.) False

D.)True

Step-by-step explanation:

A triangular pathway in a park is shown below. what is the approximate total length of the path ( the perimeter of the triangle)? Round answer to the nearest hundreth

A triangular pathway in a park is shown below. what is the approximate total length of the path ( the

Answers

The perimeter of the triangle is given by the equation P = 42.588 m

What is a Triangle?

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the perimeter of the triangle be represented as P

Let the right triangle be represented as ABC

Now , the hypotenuse of the triangle is AC = 18m

And , the measure of ∠ACB = 30°

From the trigonometric relations ,

Let the angle be θ , such that

sin θ = opposite / hypotenuse

Substituting the values in the equation , we get

sin 30° = AB / 18

On simplifying the equation , we get

Multiply by 18 on both sides of the equation , we get

sin 30° = 1/2

AB = 18/2

The opposite side of the triangle AB = 9 m

Now , the base of the triangle BC is calculated from Pythagoras theorem

hypotenuse² = base² + height²

So , base BC² = ( 18 )² - ( 9 )²

The base of the triangle BC = √ ( 324 - 81 )

The base of the triangle BC = 15.588 m

Now , the perimeter of the triangle P = opposite side of the triangle AB + base of the triangle BC + hypotenuse of the triangle AC

The perimeter of the triangle P = 18 + 9 + 15.588

The perimeter of the triangle P = 42.588 m

Hence , the perimeter of the triangle is 42.588 m

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Pls help me This is so overdue! 20 points
Pls look at the Screenshot below(There's 2 more questions on this that's on My Profile)

Pls help me This is so overdue! 20 points Pls look at the Screenshot below(There's 2 more questions on

Answers

Answer: B (4,6) C (-2,4)

Step-by-step explanation:

just look at the graph and check where they are standing and if you need anymore help search up a graph and you will know the where the negative signs are

researchers randomly assign study participants to one of two groups: the experimental group receives the and the control group receives the .

Answers

This is Single-Blinded Randomized Controlled trial type of study because the recipient is unaware that they are receiving a treatment, only the researchers are aware of who is receiving which treatment. So the option d is correct.

One of the most rigorous research designs is experimental research, which is frequently referred to as the "gold standard" in research designs.

This design involves the researcher manipulating one or more independent variables (as treatments), randomly assigning individuals to various treatment levels (random assignment), and observing the effects of the treatments on outcomes (dependent variables).

Experimental research has a distinct advantage in that it may link cause and effect through treatment manipulation while controlling for the erroneous effect of unrelated variables, which is known as internal validity (causality).

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The complete question is:

A team of researchers randomly separates their study's participants into two groups, giving one group a placebo and the other a new treatment to be tested. As the treatment is somewhat experimental, participants do not know whether they receive the placebo but researchers do know whether a specific participant receives the placebo. What type of study is this?

a. Standard Deviation Study

b. Type 1 Study

c. Case-Control Study

d. Non-Blinded Randomized Controlled Trial

e. Single-Blinded Randomized Controlled trial

(c) The X is defined as follows X = {2,4,6,8,10}
Express the following sets as explicit lists of members, where is the set of all [8%] Integer positive and negative : Z = {..., 2, -1 , 0, 1, 2, ...}. (a) {m ∈ Z: m/3 ∈ X}
(b) {m ∈ Z: 2m ∈ X}
(c) {m ∈ Z: vm ∈ X}
(d) {m ∈ Z: m^3 ∈ X}

Answers

The set {m ∈ Z: m/3 ∈ X} is {-6, -3, 0, 3, 6}  and the set {m ∈ Z: 2m ∈ X} is {-5, -2, 0, 2, 5}. The set {m ∈ Z: vm ∈ X} depends on the value of v and the set {m ∈ Z: m^3 ∈ X} is {2}.

(a) To find the set {m ∈ Z: m/3 ∈ X}, we need to determine the integers (positive and negative) m that satisfy the condition m/3 ∈ X. The values of X are {2, 4, 6, 8, 10}. By multiplying each element of X by 3, we get {6, 12, 18, 24, 30}. Therefore, the set of integers m that satisfy the condition is {-6, -3, 0, 3, 6}.

(b) To find the set {m ∈ Z: 2m ∈ X}, we need to determine the integers (positive and negative) m such that 2m is an element of X. Multiplying each element of X by 2 gives {4, 8, 12, 16, 20}. The set of integers m that satisfy the condition is {-5, -2, 0, 2, 5}.

(c) The set {m ∈ Z: vm ∈ X} depends on the value of v. Without a specific value for v, we cannot determine the explicit list of members. The set will vary based on the specific value chosen for v.

(d) To find the set {m ∈ Z: m^3 ∈ X}, we need to determine the integers (positive and negative) m such that the cube of m is an element of X. Calculating the cube of each element in X gives {8, 64, 216, 512, 1000}. The only integer in X is 2, so the set of integers m that satisfy the condition is {2}.

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Can exponents be integers

Answers

Answer:

NO

Step-by-step explanation:

Exponents are expressed as numbers or variables in superscript above a base number. When the exponent is equal to or greater than 2, it directs how many times the base number is to be multiplied. The numbers 1 and 0 are special exponents, and negative integers as exponents stand for reciprocal values.

Answer:

It matters of what the whole number in front is.

Step-by-step explanation:

For example: 6 to the power of 2 = 36  

if the first number is a decimal: 1.6 to the power of 2.56

Its NOT an exponent if the starting number is a decimal usually.

the most commonly shaped base in pin curls is the _____ base. A. Arc base. B. Rectangular base. C. Panel base.

Answers

The most commonly shaped base in pin curls is the rectangular base.

This is the main answer to your question. An explanation for this is that the rectangular base is versatile and can be used for creating various sizes of curls. Additionally, it allows for easy control of the curl direction. In conclusion, when creating pin curls, the rectangular base is the most commonly used due to its versatility and ease of use.


The arc base, also known as the half-moon or C-shape base, is the most popular base shape for pin curls because it allows for better distribution of the hair and provides more natural-looking curls. This shape helps prevent splits in the finished hairstyle, ensuring a smoother and more cohesive appearance.

In pin curls, the arc base is the most commonly used base shape due to its ability to create natural-looking curls and prevent splits in the hairstyle.

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Geometry!!! Please help!!!​

 Geometry!!! Please help!!!

Answers

The values of x and the side length are as follows:

a. x = 6 ; RS = 15; ST = 19; RT = 34;

b. x = 5 ; RS = 20; ST = 1; RT = 21;

How to write equation in terms of x?

Point S is between R and T.

Therefore, the equation in terms of x can be represented as follows:

RT = RS + ST

a.  

RS = 4x - 9

ST = 19

RT = 8x - 14

Hence,

8x - 14 = 4x - 9 + 19

8x - 14 = 4x - 9 + 19

8x - 14 = 4x + 10

8x - 4x = 10 + 14

4x = 24

x = 24 / 4

x = 6

RS = 4x - 9 = 4(6)  - 9  = 24 - 9 = 15

ST = 19

RT = 8x - 14 = 8(6) - 14 = 48 - 14 = 34

b.

RS = 2x + 10

ST = x - 4

RT = 21

Therefore,

21 = 2x + 10 + x - 4

21 = 3x + 6

21 - 6 = 3x

15 = 3x

divide both sides by 3

x = 15 / 3

x = 5

RS = 2x + 10 = 2(5) + 10 = 10 + 10 = 20

ST = x - 4 = 5 - 4 = 1

RT = 21

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Perform the following area application.
Compute the number of vinyl tiles, measuring 8 in. each side, needed to tile a kitchen measuring 24 ft. by 18 ft.
__________tiles

Answers

To find the number of vinyl tiles needed to tile a kitchen measuring 24 ft. by 18 ft. with tiles measuring 8 in. each side, we need to convert all measurements to the same units.

First, we need to convert the kitchen measurements from feet to inches:

- 24 ft. = 24 x 12 = 288 in.
- 18 ft. = 18 x 12 = 216 in.

Next, we need to divide the length and width of the kitchen by the length of each tile to find the number of tiles needed in each direction:

- Length: 288 in. ÷ 8 in. = 36 tiles
- Width: 216 in. ÷ 8 in. = 27 tiles

Finally, we multiply the number of tiles needed in each direction to find the total number of tiles needed:

- Total tiles: 36 tiles x 27 tiles = 972 tiles



To tile a kitchen, it is important to accurately calculate the number of tiles needed to ensure that there is enough material to complete the job. In this case, we converted all measurements to the same units and then used division and multiplication to find the total number of tiles needed.



To tile a kitchen measuring 24 ft. by 18 ft. with vinyl tiles measuring 8 in. each side, we need a total of 972 tiles.

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