The graph of y=e^x is transformed as shown in the graph below. Which equation represents the transformed function?
Y= e^-3
y=e* +3
y=e*+3
y=x +3+3

Work Shown:

Complementary angles add to 90 degrees.

A+B = 90

(3x+18)+(2x+17) = 90

5x+35 = 90

5x = 90-35

5x = 55

x = 55/5

x = 11

Then we can determine each angle:

As a check: A+B = 51+39 = 90 to confirm the answer.

Answer:

A. x - 3

Step-by-step explanation:

Set it up like this:

(3x - 2) - (2x + 1)

Combine like terms:

3x - 2 - 2x - 1

3x - 2x = x

-2 - 1 = -3

Put it together:

x - 3

Answer:

god loves you <3 .

Step-by-step explanation:

Answer:

\(q=45\)

Step-by-step explanation:

Notice that \((q+2)^{\circ}\) and \((3q-2)^{\circ}\) form a linear pair, that is, they sum to \(180^{\circ}\) as follows:

\((q+2)^{\circ}+(3q-2)^{\circ}=180^{\circ}\\(q+2+3q-2)^{\circ}=180^{\circ}\\(4q)^{\circ}=180^{\circ}\\4q=180\\q=\frac{180}{4}\\q=45\)

The area of the square field, given that the length is \(5x^3y^5\), is found by squaring the length. The area then becomes \(25x^6y^10\).

The field is a square, so all the sides have the same length. Given that the length is \(5x^3y^5\), the area of a square equals the length of one side squared. So to find the area of the square, you square the length \((5x^3y^5)\) which is \((5x^3y^5)^2\)

The formula to square a binomial \((a+b)^2\) is a² + 2ab + b². To square \((5x^3y^5)^2\), you may square each term separately. 5² = 25, (x³)² = \(x^6\) and \((y^5)\)² =\(y^{10\). Now, multiply these results together: \(25x^6y^10\). This is the area of the field in terms of x and y, written in alphabetical order.

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Answer:

  25x⁶y¹⁰

Step-by-step explanation:

You want the area of a square that has a side length of 5x³y⁵.

The relevant rules of exponents are ...

  (ab)^c = (a^c)(b^c)

  (a^b)^c = a^(bc)

The area of a square is the square of the side length:

  A = s²

For the given square, the area is ...

  A = (5x³y⁵)² = (5²)(x³)²(y⁵)² = 25(x⁶)(y¹⁰)

The area of the square field is 25x⁶y¹⁰.

__

Additional comment

An exponent signifies repeated multiplication:

  x³ = x·x·x

The square of that will be ...

  (x³)² = (x·x·x)·(x·x·x)

The outside exponent tells you the value inside parentheses is multiplied by itself that many times. An exponent can be used to represent that product: x⁶.

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Answer:

£13.5

£40.5

Step-by-step explanation:

Let the amount of shares be x and 3x

Therefore,

\(x + 3x = 54 \\ \\ 4x = 54 \\ \\ x = \frac{54}{4} \\ \\ x = 13.5 \\ \\ 3x = 3 \times 13.5 = 40.5\)

The appropriate hypotheses for this test are: H0: There is no difference in the distribution of responses. Ha: There is a difference in the distribution of responses.

The chosen hypotheses are based on the objective of the investigation, which is to determine if there is convincing evidence that the distribution of responses about eating the potato salad differs between employees who are sick and those who are not sick.

The null hypothesis (H0) assumes that there is no difference in the distribution of responses about eating the potato salad between the sick and non-sick employees. This means that the proportion of employees who ate the potato salad would be the same in both groups, and any observed difference in the distribution of responses is due to random chance or factors unrelated to being sick or not sick.

On the other hand, the alternative hypothesis (Ha) proposes that there is a difference in the distribution of responses about eating the potato salad between the sick and non-sick employees. This suggests that the proportion of employees who ate the potato salad would be significantly different in the two groups, indicating a possible association between consuming the potato salad and getting sick.

By formulating these hypotheses, the investigation aims to evaluate whether the data provides convincing evidence to reject the null hypothesis in favor of the alternative hypothesis, indicating a meaningful relationship between eating the potato salad and falling sick.

Therefore, the correct answer is:

H0: There is no difference in the distribution of responses about eating the potato salad among those who are and are not sick.

Ha: There is a difference in the distribution of responses about eating the potato salad among those who are and are not sick.

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Answer:

Subtract 

23

\frac{2}{3}32

 from both sides of the equation

5+23=−16

5a+\frac{2}{3}=-\frac{1}{6}5a+32=−61

5+23−23=−16−23

Answer:

The approximated length of the cables that stretch between the tops of the two towers is 1245.25 meters.

Step-by-step explanation:

The equation of the parabola is:

\(y=0.00035x^{2}\)

Compute the first order derivative of y as follows:

 \(y=0.00035x^{2}\)

\(\frac{\text{d}y}{\text{dx}}=\frac{\text{d}}{\text{dx}}[0.00035x^{2}]\)

    \(=2\cdot 0.00035x\\\\=0.0007x\)

Now, it is provided that |x | ≤ 605.

⇒ -605 ≤ x ≤ 605

Compute the arc length as follows:

\(\text{Arc Length}=\int\limits^{x}_{-x} {1+(\frac{\text{dy}}{\text{dx}})^{2}} \, dx\)

                  \(=\int\limits^{605}_{-605} {\sqrt{1+(0.0007x)^{2}}} \, dx \\\\={\displaystyle\int\limits^{605}_{-605}}\sqrt{\dfrac{49x^2}{100000000}+1}\,\mathrm{d}x\\\\={\dfrac{1}{10000}}}{\displaystyle\int\limits^{605}_{-605}}\sqrt{49x^2+100000000}\,\mathrm{d}x\\\\\)

Now, let

\(x=\dfrac{10000\tan\left(u\right)}{7}\\\\\Rightarrow u=\arctan\left(\dfrac{7x}{10000}\right)\\\\\Rightarrow \mathrm{d}x=\dfrac{10000\sec^2\left(u\right)}{7}\,\mathrm{d}u\)

\(\int dx={\displaystyle\int\limits}\dfrac{10000\sec^2\left(u\right)\sqrt{100000000\tan^2\left(u\right)+100000000}}{7}\,\mathrm{d}u\)

                  \(={\dfrac{100000000}{7}}}{\displaystyle\int}\sec^3\left(u\right)\,\mathrm{d}u\\\\=\dfrac{50000000\ln\left(\tan\left(u\right)+\sec\left(u\right)\right)}{7}+\dfrac{50000000\sec\left(u\right)\tan\left(u\right)}{7}\\\\=\dfrac{50000000\ln\left(\sqrt{\frac{49x^2}{100000000}+1}+\frac{7x}{10000}\right)}{7}+5000x\sqrt{\dfrac{49x^2}{100000000}+1}\)

Plug in the solved integrals in Arc Length and solve as follows:

\(\text{Arc Length}=\dfrac{5000\ln\left(\sqrt{\frac{49x^2}{100000000}+1}+\frac{7x}{10000}\right)}{7}+\dfrac{x\sqrt{\frac{49x^2}{100000000}+1}}{2}|_{limits^{605}_{-605}}\\\\\)

                  \(=1245.253707795227\\\\\approx 1245.25\)

Thus, the approximated length of the cables that stretch between the tops of the two towers is 1245.25 meters.

HCF/GCF 32 and 48

listing factor

32: 1, 2, 4, 8, 16, 32

48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

HCF: 16

prime factorization

32: 2 x 2⁴

48: 3 x 2⁴

HCF: 2⁴ = 16

Hello !

Answer:

\( \boxed{h = 6}\)

Step-by-step explanation:

He has grown :

We also know that in total, he has grown 11 vegetables.

We will have to solve an equation !

\(h + 2h + 5 = 11\)

\( \iff3h + 5 = 11\)

We want to isolate h.

\(3h + 5 - 5= 11 - 5 \\ \iff3h = 6 \\ \iff \frac{3h}{3} = \frac{6}{3} = 2\)

The value of h is 2.

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Answer:

:)\

Step-by-step explanation:

Answer:

Yes they are all right

Step-by-step explanation:

Answer:

Step-by-step explanation:

The system of equations that can be used to determine whether the boat comes within 5 miles of the lighthouse is

StartLayout Enlarged Left-Brace 1st Row (x minus 1) squared + (y minus 2) squared = 25 2nd Row y = StartFraction 14 Over 81 EndFraction (x minus 2) squared minus 6 EndLayout. Option B

This is further explained below.

a curve in an open plane that is symmetrical and open at both ends and created by the intersection of a cone with a plane that is parallel to the side of the cone. Under the influence of gravity, the route taken by a projectile takes the form of a curve similar to this one.

Generally,  Every single pair of equations begins with an equation representing a circle as their initial problem.

Because you are interested in finding out whether the sailboat is within 5 miles of the coordinates (1,2), you will set the radius of the circle to 5.

The calculation for a circle reveals that the square of the radius should be used. In this case, the answer is 25. So far, it seems that answers two and four are correct.

Following this, the vertex will be shown to you as (h,k) (2,-6). When we look at the equation of a parabola, we want to find a solution that has a k value of -6, so our search begins there.

In conclusion,  the system of equations that can be used to determine whether the boat comes within 5 miles of the lighthouse is

StartLayout Enlarged Left-Brace 1st Row (x minus 1) squared + (y minus 2) squared = 25 2nd Row y = StartFraction 14 Over 81 EndFraction (x minus 2) squared minus 6 EndLayout

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Answer:

b

Step-by-step explanation:

on edge

Answer:

67

Step-by-step explanation:

(5-2)180

=540

540-131-105-153-84

=67

Answer:

30 = 6

45 = x

cross multiply

30x = 45*6

30x = 270

divide both sides by

30x/30 = 270/30

X = 9

9-6 = 3 days

Answer:

please take a picture of the triangle so I can help you.

Answer:

\(115 \dfrac{1}{2}\:cm^3\)

Step-by-step explanation:

The volume of a rectangular prism is the product of each of the sides of the prism

Given the sides have lengths
\(3\dfrac{1}{2}, 6 \;and\; 5 \dfrac{1}{2} cm\)

the volume would be
\(3\dfrac{1}{2} \times 6 \times 5 \dfrac{1}{2}\)

To perform this multiplication, convert mixed fractions to improper fractions first

Use the rule that mixed fraction
\(a\dfrac{b}{c}=\dfrac{a\times \:c+b}{c}\)

\(3\dfrac{1}{2}=\dfrac{3\times 2+1}{2} = \dfrac{7}{2}\)

\(5\dfrac{1}{2}=\dfrac{5\times 2+1}{2}= \dfrac{11}{2}\)

Therefore
\(3\dfrac{1}{2}\times \:6\times \:5\dfrac{1}{2}\\\\= \dfrac{7}{2}\times \:6\times \dfrac{11}{2}\\\\= \dfrac{7}{2}\times \dfrac{6}{1}\times \dfrac{11}{2} \quad(6 = \dfrac{6}{1})\)

\(=\dfrac{7\times \:6\times \:11}{2\times \:1\times \:2}\\\\= \dfrac{462}{4}\\\)

Divide numerator and denominator by 2 to get
\(\dfrac{231}{2}\\\)

Convert improper fraction \(\dfrac{231}{2}\) to mixed fraction using quotient/remainder

\(\dfrac{231}{2} \\\\\rightarrow Quotient: 115\\\\\rightarrow Remainder = 231 - 115 \times 2 = 231 - 230 = 1\)

\(\dfrac{231}{2} = 115 \dfrac{1}{2}\)

Answer:

-13

Step-by-step explanation:

f(x) = 4x-2x-7

when; f(x) = f(-3)

then, f(-3) = 4(-3) - 2(-3) - 7

= -12 + 6 - 7

= -19 + 6

= -13

Therefore , the solution of the given problem of equation comes out to be factor is (5b)(-5b+3).

A formula for connecting two statements using the equal sign (=) to denote equivalence is known as a mathematical equation. A mathematical equation in algebra is a statement that proves the equality of two mathematical expressions. For instance, the formula 3x + 5 = 14 places an equal sign between the variables 3x + 5 and 14. The mathematical relationship between the two sentences on either side of a letter is established. Most of the time, the symbol serves as both the one and only variable. for instance, 2x – 4 = 2.

Here,

the two numbers' primary factors are as follows:

-25\(b^{2}\) + 15b

Common prime factors can be multiplied to determine the GCF:

=> -25\(b^{2}\)  = -(5)(5) * \(b^{2}\)

=> 15b = (5)(3)b

The expression can be factored in the following fashion because the GCF is 5b:

=> -(5)(5) * \(b^{2}\) +  (5)(3)b

=> (5b)(-5b+3)

Therefore , the solution of the given problem of equation comes out to be factor is (5b)(-5b+3).

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Answer:

The terms are 25x and 7

Step-by-step explanation:

Answer:  BD = 28

Step-by-step explanation:

BC = 21, CD = 7             Given

BC + CD + BD                Segment Addition Postulate

21 + 7 = BD                     Substitution

28 = BD                          Add Like Terms

Answer:..... amanda because her plots are bigger.

Step-by-step explanation:

Answer:

90units²

Step-by-step explanation:

area of a triangle= ½base *height

area = ½*12*15

area= 90units²

Wave length = speed / frequency

Wave length = 3x10^8 / 4.11x10^4

Wave length = 7.299x10^3nm

Answer:

3b - 4

Step-by-step explanation:

Answer:

3b-4

Step-by-step explanation:

I'm big brain.... can I get brainliest

Answer:

(-7,3)

Step-by-step explanation:

Kindly check below.

1) Note that we need to find the slopes of the lines in order to classify that quadrilateral.

2) So, we need to find the slope of each line segment:

3) Now, let's find the length of all sides as requested.

4) Finally, we can tell that quadrilateral can be best identified as a parallelogram.

Answer:

29

Step-by-step explanation:

Assuming the angle measurements are in degrees, the two given expressions for the angle measures add to 90.

2x+(x+3)=90

3x+3=90

3x=87

x=29

Answer:

w+10

Step-by-step explanation:

3w+6-2w+4=w+10

Answer:

Step-by-step explanation:

x subtracted from y means y-x

2w+4 subtracted from 3w+6= (3w+6)-(2w+4)

don't forgett to diestribute invisible -1

-(2w+4)=-1(2w+4)=-2w-4

so

3w+6-2w-4=

3w-2w+6-4=

1w+2=

w+2