The sum of two numbers is -10.5.


Identify two negative addends that make the statement true.


Can one of the addends be positive and the other be negative? Provide an example to prove your answer.

Answer:

a.83%

b. 48%

c.36%

d.35%

e.69%

f.36%

g.30%

h.69%

Answer:

60 comic books

Step-by-step explanation:

38-8=30

30×2=60

Answer:

The equation for the line of best fit is shown below.

y=0.96x + 6.7

This means that on average, for every additional gram of protein, the food item will contain _0.96_ additional grams of fat. The y-intercept means that a food item with _0_grams of protein would have _6.7_ grams of fat.

Step-by-step explanation:

For unit x, the protein, increases, fat increase by 0.96, as shown in the equation. The y-intercept is the point (0, 6.7) which means no protein, but 6.7 fat as shown in the graph.

I hope this helps! :)

a) The value in four years is 2,207,626

b) The growth rate percent is 102.5 %

c) It would attain the value in 11 years.

We know that a function has to do with a mathematical rule that is used for the establishment of a fact. We have from the question that the function that models the car is; V = 2000000(1.025)^n

Let us recall that n has to do with the number of years.

a) In four years, the value of the car would be;

V = 2000000(1.025)^4

V = 2,207,626

b) The growth rate percent of the function can  be obtained as;

1.025 * 100 = 102.5 %

c) To obtain the year in which the value of the car would reach 2624173.32, we have;

2624173.32 = 2000000(1.025)^n

2624173.32/2000000 = (1.025)^n

1.312 = (1.025)^n

ln1.312 = n ln (1.025)

n = ln1.312 /ln (1.025)

n = 0.272/0.025

n = 11

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Answer:

a

Step-by-step explanation:

the perimeter (P) of a square is the sum of the 4 congruent sides.

the area of a square is calculated as

area = s² ( s is the length of a side )

here area is 36 , then

s² = 36 ( take square root of both sides )

s = \(\sqrt{36}\) = 6

then

P = 4s = 4 × 6 = 24 cm

El supplemento y el complemento de cada ángulo son, respectivamente:

Caso A: m ∠ A' = 43°

Caso B: m ∠ A' = 31°

De acuerdo con la geometría, la suma de un ángulo y su complemento es igual a 90° and la suma de un ángulo y su suplemento es igual a 180°. Matemáticamente hablando, cada situación es descrita por las siguientes formulas:

Ángulo y su complemento

m ∠ A + m ∠ A' = 90°

Ángulo y su suplemento

m ∠ A + m ∠ A' = 90°

Donde:

Ahora procedemos a determinar cada ángulo faltante:

Caso A: Complemento

47° + m ∠ A' = 90°

m ∠ A' = 43°

Caso B: Suplemento

149° + m ∠ A' = 180°

m ∠ A' = 31°

El enunciado se encuentra escrito en español y la respuesta está escrita en el mismo idioma.

The statement is written in Spanish and its answer is written in the same language.

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A. The area of the triangle is 108 mm².

B. The area of parallelogram is 286√2 in²

A. Area of a triangle (A) = 1/2 * Base (b) * Height (h)

We have:

b = 18 mm

h = 12 mm

Thus:

A = 1/2 * 18 * 12

A = 108 mm²

B. The area of parallelogram is given by:

A = b * h

where b is the base and h is the height

We have:

b = 26 in

Using trig.:

sin 45 = h/22

h = 22 * sin 45

h = 11√2 in

Thus,

A = 26 * 11√2

A = 286√2 in²

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Astronomers can use geometry to measure the distance of objects in space and describe ttheir relationship.

It should be noted that astronomers study stars, planets, and other celestial bodies. It should be noted that they use ground-based equipment, like optical telescopes, and space-based equipment. Some astronomers study distant galaxies and phenomena such as black holes and neutron stars.

In this case, astronomers can use geometry to measure the distance of objects in space and describe ttheir relationship.

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Answer:

distance between, motion

Step-by-step explanation:

plato, I got it right

An ordered set has the least upper bound property if and only if it has the greatest lower bound property.

Every nonempty subset A0 of an ordered set A is said to have the least upper bound property and has the lowest upper bound that is constrained above. A fulfills this requirement. Assume B0 is a set of any size with a lower bound. We must demonstrate that it has the largest lower bound. Assume LA is the collection of all the set B0's lower bounds.

∃b0∈B0,∀x∈L,x≤b0.

L is therefore bound above. So it has the lowest upper bound. Let b represent the lower limit of L.

∀x∈L,x≤b.

If  ∃b′∈B0,b′≤b, which defies the assertion that b is the lowest upper bound of L. As a result,

b≤y,∀y∈B0.

So, b is the lower bound.

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Answer:

Answer is the last option

Answer:

You cant make this..

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

1st u do the inverse which is 15+9=24

24-15=9

Answer:

Step-by-step explanation:

Answer:

The solution is \(y(t) = \frac{4}{3} - \frac{1}{3} e^{_{-3} t}\\\)

Step-by-step explanation:

The question is:

Solve the initial value problem

y′′+3y'=0

y(0)=1

y′(0)=1

Step-by-step explanation:

First, we will write the characteristic equation, which is

\(x^{2} + 3x = 0\)

Then, we will solve for \(x\)

\(x^{2} + 3x = 0\) becomes

\(x(x+3) = 0\\\)

∴ \(x = 0\) or \(x +3 = 0\)

\(x = 0\) or \(x = -3\)

Hence, \(x_{1} = 0, x_{2} = -3\)

Since the two roots are distinct, that is, \(x_{1} \neq x_{2}\)

The general solution is

\(y(t) = C_{1}e^{x_{1} t} + C_{2}e^{x_{2} t}\\\)

Then,

\(y(t) = C_{1}e^{0 t} + C_{2}e^{-3 t}\)

\(y(t) = C_{1} + C_{2}e^{-3 t}\\\)

Then, for \(y'(t)\)

\(y'(t) = -3C_{2}e^{-3 t}\\\)

Now, from the question

y(0)=1

y′(0)=1

Then,

\(1 = y(0) = C_{1} + C_{2}e^{-3 (0)}\\\)

Then,

\(1 = C_{1} + C_{2}\) ........ (1)

Also,

\(1 = y'(0) = -3C_{2}e^{-3 (0)}\\\)

Then,

\(1 = -3C_{2}e^{-3 (0)}\\\)

\(1 = -3C_{2}\\\) ....... (2)

∴ \(C_{2} = - \frac{1}{3}\)

From equation (1)

\(1 = C_{1} + C_{2}\)

Then,

\(C_{1} = 1 - C_{2}\)

\(C_{1} = 1 - -\frac{1}{3} \\C_{1} = 1 +\frac{1}{3} \\C_{1} = \frac{4}{3}\)

Hence, \(C_{1} = \frac{4}{3}\) and \(C_{2} = - \frac{1}{3}\)

Then, the solution becomes

\(y(t) = \frac{4}{3} - \frac{1}{3} e^{_{-3} t}\\\)

Answer:

|Z| < 2, which means that it would not be unusual for the mean of a sample of 3 to be 115 or more.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

If \(|Z| > 2\), the value of X is considered to be unusual.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Assume that a population is normally distributed with a mean of 100 and a standard deviation of 15.

This means that \(\mu = 100, \sigma = 15\)

Sample of 3

This means that \(n = 3, s = \frac{15}{\sqrt{3}}\)

Would it be unusual for the mean of a sample of 3 to be 115 or more? Why or why not?

We have to find the z-score.

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{115 - 100}{\frac{15}{\sqrt{3}}}\)

\(Z = 1.73\)

|Z| < 2, which means that it would not be unusual for the mean of a sample of 3 to be 115 or more.

Answer:

3x - 5 = 10

Step-by-step explanation:

Answer:

Equation: 2w + 2(2w) = 12

width = 2

length = 4

Step-by-step explanation:

Width is w

Length is 2 * width = 2w

Perimeter is 2w + 2l

Substitute 2w for L.

Perimeter is now 2w + 2(2w) = 12

Distribute the 2 to the parentheses.

2w + 4w = 12

Combine Like terms

6w = 12

Divide by 6 to solve for w.

w = 2

If w = 2, then the length = 4.

x1 = 9, x2 = 3

y1 = -1, y2 = 3

\( \sqrt{ {(x2 - x1) + (y2 - y1)}^{2} } \\ \\ \sqrt{ {(3 - 9)^{2} + (3 - ( - 1))}^{2} } \\ \\ \sqrt{ {( - 6)}^{2} + {(4)}^{2} } \\ \\ \sqrt{ 36 + 16 } \\ \\ \sqrt{52} \\ \\ 7.21 \: units\)

The interest is 16% compounded semi-annually, is Rs. 121,179.10.

To determine how much money needs to be deposited now to provide a payment of Rs. 15,000 at the end of each half year for 10 years, we will use the formula for the present value of an annuity.

Present value of an annuity = (Payment amount x (1 - (1 + r)^-n))/rWhere:r = interest rate per compounding periodn = number of compounding periodsPayment amount = Rs. 15,000n = 10 x 2 = 20 (since there are 2 half years in a year and the payments are made for 10 years)

So, we have:r = 16%/2 = 8% (since the interest is compounded semi-annually)Payment amount = Rs. 15,000Using the above formula, we can calculate the present value of the annuity as follows:

Present value of annuity = (15000 x (1 - (1 + 0.08)^-20))/0.08 = Rs. 121,179.10Therefore, the amount that needs to be deposited now to provide payment of Rs. 15,000 at the end of each half year for 10 years, if the interest is 16% compounded semi-annually, is Rs. 121,179.10.

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Answer:

STo solve for m in the equation -319.45 = m, we can isolate the variable m by adding 319.45 to both sides of the equation:

-319.45 + 319.45 = m + 319.45

This simplifies to:

0 = m + 319.45

Finally, we can subtract 319.45 from both sides to solve for m:

0 - 319.45 = m + 319.45 - 319.45

-319.45 = m

Therefore, the value of m is -319.45.tep-by-step explanation:

Answer:

4, 3.3, and 3.2 the answer would be $10.05

Step-by-step explanation:

The initial fee that the company charges is equivalent to $2.

Given is that a company rents bicycles to customers. The company charges an initial fee plus an hourly rate. This table shown in the question gives the total cost to rent a bicycle for different amounts of time.

Assume that the initial fee is equivalent to $x. Then we can write the charge function as -

C(x) = mx + c

Now -

C(x) = {(20 - 8)/(6 - 2)}x + c

C(x) = (12/4)x + c

C(x) = 3x + c

For (2, 8) , we can write -

8 = 3 x 2 + c

c = 8 - 6

c = 2

Therefore, the initial fee that the company charges is equivalent to $2.

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Answer:

2.4

Step-by-step explanation:

For one person, it would take 4/5 of an hour (4 divided by 5). Three people would take 12/5 or 2.4 hours because that's just 3*(4/5). Hope this helps!

In calculating the factor A variation, there are two degrees of freedom. In determining the variation of factor B, there are two degrees of freedom.

A two-factor factorial design is an experiment that collects data for all potential values of the two factors of the study. The design is a balanced two-factor factorial design if equivalent sample sizes are used for every of the possible factor combinations.

Suppose we have two components, A and B, each of which has a high number of levels of interest. We will select a random level of component A and a random level of factor B, and n observations will be taken for each experimental combination.

From the data given:

a.

In calculating the factor A variation, there are two degrees of freedom.

In determining the variation of factor B, there are two degrees of freedom.

b.

Finding the degree of freedom using the interaction variation, there are four degrees of freedom.

c.

In finding the random variable, there are 9(4-1) = 27 degrees of freedom.

d.

In calculating the total variable, there are 9*4-1 =35 degrees of freedom.

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The graph of a function is given.

When the function of x is -3, that is

That means the input value which is x, gives us negative 3.

Looking at negative 3 from the graph, the value of x where the graph equals negative 3 (on the vertical axis, or y-axis) is either negative 2 or 1. That is

Also, when the input of the function is zero, then you'll have the output as

This means when the value of x is zero, then the output as shown on the graph is 1 (that is the graph touches the y-axis at 1)

Therefore;

(a) One value of x for which f(x) = -3 is -2 (OR 1)

(b) f(0) = 1

Answer:

-3

Step-by-step explanation:

Answer:

x-intercepts: (6,0)

y-intercepts: (0,3)

Answer:

A prime number is a number whose factors are only 1 and itself.

Step-by-step explanation:

Example:

2 is a prime number because its only factors are 1 and itself (2). 4 is not a prime number because its factors are 1, 2, and 4.

The value of x, considering the consecutive interior angles in this problem, is given as follows:

x = 30.

We have two parallel lines that are cut by a transversal, and the two angles are between the parallel lines and on the same side of the transversal, meaning that they are consecutive interior angles.

Consecutive interior angles are supplementary, meaning that the sum of their measures is of 180º, hence the value of x can be found as follows:

3x - 8 + 4x - 22 = 180

7x - 30 = 180

7x = 210

x = 210/7

x = 30.

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