Ms. Cohen's garden had 50 weeds when she began spraying her garden with pesticide. Every day she sprayed pesticide there were half as many weeds as the day before.


(Let x = the number of days and y = number of weeds)

Answer:

Step-by-step explanation

there are 80 boxes in total

Answer:

1 is A

10 is B

21 is B

25 is A

1 is C

7 is C

Step-by-step explanation:

can plz have brainly ( its the crown in the bottom right corner of my answer box

Answer:

that number is in standard form

The height of the building is 44 meters

From the question, we have the following parameters that can be used in our computation:

Height of the tree = 22 m

From the question, we understand that

Scale of the diagram = 2

This means that

Height of the building = Height of the tree * Scale of the diagram

Substitute the known values in the above equation, so, we have the following representation

Height of the building = 22 m * 2

Evaluate

Height of the building = 44 m

Hence, the height is 44 m

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Answer:

I use Khan Academy

Step-by-step explanation:

but really you just have to study and try

don't be afraid to ask questions :)

a) Each license plate consists of 3 letters followed by 3 numbers: In this case, there are 26 possible letters for each of the three slots. There are 10 possible numbers for each of the three slots.

Thus, there are $26^3\cdot10^3 = 17576000$ possible license plates.

b) Each license plate consists of 3 different letters followed by 3 different numbers:

In this case, there are 26 possible letters for the first slot, 25 possible letters for the second slot, 24 possible letters for the third slot, 10 possible numbers for the first slot, 9 possible numbers for the second slot, and 8 possible numbers for the third slot.

Thus, there are $26\cdot25\cdot24\cdot10\cdot9\cdot8 = 11,232,000$ possible license plates.

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The average of the three hidden prime numbers is 5, as the sum of any two of the numbers is equal to 10, and since all three numbers are prime, the only possible values are 3, 5, and 7.

3 + 5 + 7 = 15

15/3 = 5

The average of the three hidden prime numbers is 5. This means that the sum of any two of the numbers on the cards must be equal to 10. Since all three numbers are prime,as the sum of any two of the numbers is equal to 10 the only possible values are 3, 5, and 7. Therefore, the three numbers on the hidden sides of the cards are 3, 5, and 7. To calculate the average, we add the three values together and divide by three. 3 + 5 + 7 = 15, and 15 divided by 3 is 5. Therefore, the average of the hidden prime numbers is 5.

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Answer:

8

Step-by-step explanation:

48 divided by 6 is 8

Answer:

8

Step-by-step explanation:

48/6=8

After evaluating the given substitution and using C as  constant of integration, we got final answer of  \(∫dt/(1−5t)^5, u=1−5t\) as\($\int \frac{dt}{(1-5t)^5} = -\frac{1}{20(1-5t)^4} -\frac{1}{20(1-5t)^4} + C$\)

The given integral is \($\int \frac{dt}{(1-5t)^5}$\), where we have been asked to make the substitution \($u=1-5t$\) and evaluate the integral. To do this, we start by taking the derivative of both sides of the substitution: \($du = -5dt$\). We then use this to substitute into our integral

\($\int \frac{dt}{(1-5t)^5} = -\frac{1}{5}\int \frac{du}{u^5}$\)

We can now use integration by parts to solve the integral. Let \($u = u$\) and    Then, \($du = du$\) and\($v = -\frac{1}{4u^4}$.\)

Thus, the integral is:

\($-\frac{1}{5}\int \frac{du}{u^5} = -\frac{1}{5}(-\frac{1}{4u^4}) + \frac{1}{20}\int u^{-4}du = -\frac{1}{20u^4} + \frac{1}{20}\int u^{-4}du$\)

We can now use the same substitution from before to solve the remaining integral. Taking the derivative of both sides of the subst

itution, \($du = -5dt$\). We then use this to substitute into the integral and solve :

\($\frac{1}{20}\int u^{-4}du = \frac{1}{20}\int (-5dt)u^{-4} = \frac{1}{20}\int (-\frac{5dt}{(1-5t)^4}) = -\frac{1}{20(1-5t)^4}$\)

Combining the two integrals, we get:

\($\int \frac{dt}{(1-5t)^5} = -\frac{1}{20u^4} -\frac{1}{20(1-5t)^4} + C$\)

Finally, we can substitute back in our original substitution \($u=1-5t$\) to get our final answer
\($\int \frac{dt}{(1-5t)^5} = -\frac{1}{20(1-5t)^4} -\frac{1}{20(1-5t)^4} + C$\)
Where C is the constant of integration.

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The the rectangular solid with maximum volume for given surface area is, in fact, a cube with side 4.5.

Which formula represents the volume of a rectangular prism?

Let x = the side of the square base and y = height

Let V = volume = x2y

The surface area = 2x2 + 4xy = 121.5

Solve the surface area equation for y = (121.5 - 2x2)/4x and substitute this into the volume equation

V = x2(121.5 - 2x2)/4x = x(121.5 - 2x2)/4

the derivative of V with respect to x = (x/4)(-2x) + (1/4)(121.5 - 2x2) = 0 at the maximum

(1/4)(-4x2 + 121.5 - 2x2) = 0'

6x2 = 121.5

x2 = 20.25

x = 4.5

y = (121.5 - 40.5)/(4 * 4.5) =81/18 = 4.5

The the rectangular solid with maximum volume for given surface area is, in fact, a cube with side 4.5.

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Let's assume the amount invested at the higher interest rate (16%) is x dollars.

The amount invested at the lower interest rate (6%) would then be ($80,000 - x) dollars, as the total investment is $80,000.

The interest earned from the investment at 16% is calculated as (x * 16%) = 0.16x dollars.

The interest earned from the investment at 6% is calculated as (($80,000 - x) * 6%) = 0.06(80,000 - x) dollars.

According to the given information, the retiree receives a total interest of $8,900 per year. So we can set up the equation:

0.16x + 0.06(80,000 - x) = 8,900

Now, let's solve the equation to find the value of x:

0.16x + 0.06(80,000 - x) = 8,900

0.16x + 4,800 - 0.06x = 8,900

0.1x + 4,800 = 8,900

0.1x = 8,900 - 4,800

0.1x = 4,100

x = 4,100 / 0.1

x = 41,000

Therefore, $41,000 is being invested at the higher interest rate (16%).

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Answer:

I think its C -4 2/3

Step-by-step explanation:

Answer: y= 66

Step-by-step explanation: Well first you would do +7 on both sides and then it would be Y/6=4+7, then you would multiply 6 on both sides which then you would have y=24+42 which simplified it would be y=66

Answer: by isolating the variable

Step-by-step explanation:

Y/6 -7=4

Y/6-7+7=4+7

Y/6=11

Y/6*6=11*6

Y=66

Answer:

x = -1.7, or x = -17/10

Step-by-step explanation:

f(x) = 9.2 + 6x + 1 is a linear function and as such (and because the slope is not zero) has only one solution.  Combining like terms, we get

f(x) = 10.2 + 6x = 0 (you must set this equal to zero if solving for zero(s).

Then 6x = -10.2, and x = -1.7, or x = -17/10

The true statement is (c) Neither. Both events are equally likely.

The probability of Sandy flipping a coin twice and getting heads both times is 0.25. The probability of John's spinner stopping on the color red is 1/4.

Which of these events is more likely?

-Sandy flips a coin twice and gets heads both times.

-John's spinner stops on the color red.

-Neither. Both events are equally likely.

The given parameters are:

P(Head twice) = 0.25

P(Red) = 1/4

Rewrite P(Red) as:

P(Red) = 0.25

By comparison, we have:

P(Red) = P(Head twice) = 0.25

This means that both events are equally likely

Hence, the true statement is (c)

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===================================================

Explanation:

f(x) = x^3 - 2x + 3

f ' (x) = 3x^2 - 2 ..... apply the power rule

f ' (1) = 3(1)^2 - 2 ... plug in x coordinate of given point

f ' (1) = 1

If x = 1 is plugged into the derivative function, then we get the output 1. This means the slope of the tangent line at (1,2) is m = 1. It's just a coincidence that the x input value is the same as the slope m value.

Now apply point slope form to find the equation of the tangent line

y - y1 = m(x - x1)

y - 2 = 1(x - 1)

y - 2 = x - 1

y = x - 1 + 2

y = x + 1   is the equation of the tangent line.

The graph is shown below. I used GeoGebra to make the graph.

Answer:

(f o h)(x) = -10x + 32

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

f(x) = 2x³ + 8

h(x) = ∛(12 - 5x)

(f o h)(x) is f(h(x))

Step 2: Find Composite Function

And we have our final answer!

The value of seaweed height that divides the bottom 30%  from the top 70% is 8.96 cm

An indicator of how much a group of numbers vary or are dispersed is the standard deviation. When the standard deviation is low, the values tend to fall within a narrow range of the set's mean, but when it is large, the values tend to deviate from that mean more.

Mean. The population from which the scores were sampled is represented by the mean of the sampling distribution of the mean. As a result, the sampling distribution's mean is also the population's mean if the population as a whole has a mean of.

The height of  the seaweed be : x

X~N(μ;σ²)

μ= 10 cm

σ= 2 cm

the value of the variable X at which the distribution's bottom 0.30 and top 0.70 are separated.

P(X≤x)= 0.30

P(X≥x)= 0.70

The Z value that divides the bottom 0.30 from the top 0.70 of the standard normal distribution must be identified. Using the formula

Z=(X-μ)/σ, the Z value must then be converted to the matching X value.

P(Z≤z)= 0.30

Search for the probability of 0.30 in the table's body to get to the margins where the Z value is formed. Since the distribution's mean is "0," negative values can be found in the lower half of the distribution.

z= -0.52

The value of X must now be cleared:

Z= (X-μ)/σ

Z*σ= X-μ

X= (Z*σ)+μ

X= (-0.52*2)+10= 8.96

The value of seaweed height that divides the bottom 30%  from the top 70% is 8.96 cm.

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I understand that the question you are looking for is:

The height of seaweed of all plants in a body of water are normally distributed with a mean of 10 cm and a standard deviation of 2 cm. Which length separates the lowest 30% of the means of the plant heights in a sampling distribution of sample size 15 from the highest 70%? Round your answer to the nearest hundredth.

Answer:

X-2.6=72.8

Step-by-step explanation:

Answer:

Infinite Solutions

Step-by-step explanation:

\( \frac{2x + 6}{4} = \frac{1}{2} x + \frac{3}{2} \)

Get rid of the denominators by multiplying all whole equation by 4.

\(( \frac{2x + 6}{ 4} )4 = ( \frac{x}{2} )4 +( \frac{3}{2} )4 \\ 2x + 6 = 2x + 6\)

The interesting part is here. Both sides are same, meaning that if we continue to solve for the equation.

\(2x + 6 = 2x + 6 \\ 2x - 2x = 6 - 6 \\ 0 = 0\)

The equation is indeed true. Meaning that both graphs are the same and intercept both each others infinitely.

Therefore the answer is Infinite solution.

Given functions are

Then,

Thus,

Answer:

Need more information to this question.

Step-by-step explanation:

Answer: need way more information

Step-by-step explanation:

^

Answer:

f(0) = 3

Step-by-step explanation:

Step 1: Distribute

f(x) = -3x + 3

Step 2: Plug in

f(0) = -3(0) + 3

f(0) = 3

Answer:

f(0) = 3

Step-by-step explanation:

f(x) = -3(x-1)

Put x as 0 and solve.

f(0) = -3(0-1)

Solve the brackets.

f(0) = -3(-1)

Multiply both terms.

f(0) = 3

Answer:

50°

Step-by-step explanation:

Hi! Angle 3 and Angle 1 are supplementary pair, which means they equal 180°. We can add these two expressions together to solve for x:

Angle 3 + Angle 1 = 180

(10x) + (2x + 24) = 180

10x + 2x + 24 = 180 combine like terms

12x + 24 = 180 subtract 24

12x = 156 divide by 12

x = 13

Now we'll use x to find Angle 1:

2x + 24

2(13) + 24

26 + 24

50

Angles 1 and 2 are congruent, so if Angle 1 is 50°, Angle 2 is also 50°

Answer:

.........................

Step-by-step explanation:

.................................................

Answer:

99.7% of customers have to wait between 8 minutes to 30 minutes for their food.

Step-by-step explanation:

We are given the following in the question:

Mean, μ = 18 minutes

Standard Deviation, σ = 3 minutes

We are given that the distribution of amount of time is a bell shaped distribution that is a normal distribution.

Empirical Formula:

Almost all the data lies within three standard deviation from the mean for a normally distributed data.

About 68% of data lies within one standard deviation from the mean.

About 95% of data lies within two standard deviations of the mean.

About 99.7% of data lies within three standard deviation of the mean.

Thus, 99.7% of the customers have to wait:

`

Thus, 99.7% of customers have to wait between 8 minutes to 30 minutes for their food.

hope this helps

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Answer:

x=15

Step-by-step explanation:

x/3+x/5=8

Both multipling 15:  15(x/3+x/5)=15*8

5x+3x=120

     8x=120

      x=15

Answer:

  13.72

Step-by-step explanation:

You want to solve the equation 9/p = cos(49°) for the value of p.

  \(\dfrac{9}{p}=\cos{(49^\circ)}\qquad\text{given}\\\\9=p\cdot \cos{(49^\circ)}\qquad\text{multiply by $p$}\\\\\dfrac{9}{\cos{(49^\circ)}}=p\qquad\text{divide by $\cos{(49^\circ)}$}\\\\\boxed{p\approx13.72}\)

No, rectangle DABC is not the result of a dilation of rectangle HEFG with a center of dilation at the origin.

Dilation is a geometrical transformation that changes the size of a shape or figure. It is one of the four basic transformations of geometry alongside translation, rotation, and reflection. Dilation involves resizing a shape by a scale factor and keeping its overall shape intact. The scale factor is the ratio of the size of the image to the size of the original figure.

Dilation involves a scaling of a shape, where each point on the shape is moved away from or closer to the center of dilation, proportional to its distance from the center. In this case, the angles of rectangle DABC are different from the angles of rectangle HEFG, so it is not the result of a dilation. The angles of rectangle HEFG are ∠2, ∠33, ∠EDC, whereas the angles of rectangle DABC are ∠ADB, ∠BDC, and ∠CDB.

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The height of the bottom of the hole after the second day is 2579 feet.

Mathematicians employ the action of addition to combine numbers. The sum of the given numbers is the outcome of addition, or the total of the given numbers.

As per the given data:

Drilling on first day = 323 feet.

Drilling on second day = drilling on first day + 1933 feet

Drilling on second day = 323 feet + 1933 feet

= 2256 feet

Total drilling = Drilling on first day + Drilling on second day

= 323 feet + 2256 feet

= 2579 feet

Hence, the height of the bottom of the hole after the second day is 2579 feet.

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The value of dy/dt is 0 units per second.

a) Given: y= √x Differentiating with respect to t, we get; \(dy/dt = 1/2√x * dx/dt\)

On substituting the values of x and dx/dt in the above equation, we get; dy/dt = 1/2 * √16 * 3= 1.5 units per second

Therefore, the value of dy/dt is 1.5 units per second.

b) Given: \(y= √x\)

Differentiating with respect to t, we get;

\(dy/dt = 1/2√x * dx/dt\)

Let us assume that y = k, where k is a constant that can be determined by the given value of x.

Substituting the values of x and y in the equation, we get; 25 = √x

Therefore, x = 625dx/dt

= 0

(Given)\(dy/dt = 1/2√x * dx/dt\)

dy/dt = 1/2√625 * 0

= 0

Therefore, the value of dy/dt is 0 units per second.

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