Sarah creates the graph of function g by applying a transformation to function f.
f(x)=2^x
g(x)=1/2(2)^x
What transformation did Sarah apply?
a vertical stretch by a factor of 2
a vertical shift 1/2 unit up
a vertical compression by a factor of 1/2
a vertical shift 1/2 unit down

Answer:

The equation for this problem would be:

z = n * 1.58

This equation shows that the amount of money needed to buy the popcorn is equal to the number of bags purchased, multiplied by the price for each bag.

Answer:

h=60 2h=120

Step-by-step explanation:

the sum of 4 angles of a quadrilateral is 360 degree. so h+h+2h+2h=360

h=60 and 2h=120

Answer:

I hope it helps mate

as I promised I will help you

I will always help you understanding your assingments

enjoy your day

#Captainpower:)

Answer:

the answers would be 12/35

because you all the animals together including the wolf and bobcat which is 35. so then you add the wolf and bobcat separately which is 12

Answer:

Step-by-step explanation:

Answer:

chese

Step-by-step explanation:

Cheese is a dairy product, derived from milk and produced in wide ranges of flavors, textures and forms by coagulation of the milk protein casein. It comprises proteins and fat from milk, usually the milk of cows, buffalo, goats, or sheep. During production, the milk is usually acidified and the enzymes of rennet (or bacterial enzymes with similar activity) are added to cause the milk proteins (casein) to coagulate. The solids (curd) are separated from the liquid (whey) and pressed into final form.[1] Some cheeses have aromatic molds on the rind, the outer layer, or throughout. Most cheeses melt at cooking temperature.

Answer:

2+2=4

Step-by-step explanation:

Bro, u serious?

Answer:

Inequality: \(\frac{x}{2} \leq 3\)

Solved: \(x\leq 6\)

Step-by-step explanation:

\(\frac{x}{2} \leq 3\)

\(x\leq 6\)

Based on the text, the primary source of primate endangerment today is habitat destruction.

Habitat destruction is considered the primary source of primate endangerment based on various factors mentioned in the text. Primates, like many other species, heavily rely on their natural habitats for survival, including food, shelter, and breeding. However, human activities such as deforestation, urbanization, and land conversion for agriculture or infrastructure development have significantly reduced and fragmented primate habitats.

Habitat destruction leads to the loss of critical resources and disrupts the ecological balance necessary for primate populations to thrive. As their habitats shrink, primates face increased competition for limited resources, reduced access to food and water sources, and decreased opportunities for successful reproduction and rearing of offspring. This loss of habitat also exposes primates to increased vulnerability to predation, disease transmission, and human-wildlife conflicts.

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Answer:

65 degree, 15 degree

Step-by-step explanation:

In triangle GEF,

∠E = ∠G (Given)

Let's say,

∠E = ∠G = x

∠E + ∠G + ∠F = 180 (Angle sum property of Triangle)

=>x + x + ∠F = 180

=>2x + ∠F = 180

=>2x + 50 = 180

=>2x = 180-50

=> 2x =130

=> x = 130/2

=> x = 65

=>∠E = ∠G = 65

=>∠GEF = ∠EGF = 65 Degree

∠EGF + ∠CGF = 180

=>65 + ∠CGF =180

=>∠CGF = 180 - 65

=> ∠CGF = 15

Using the theories of Application of derivative,we got that  59.11221inches³/sec  is rate of volume changing when the radius is 2.3 inches.

We are given rate of change of radius (dr/dt)=0.6inches

We know very well that volume of sphere is given by (4/3)πr³

where r is the radius of the sphere.

Now, differentiating the volume with respect to radius, we get

=>dV/dr=4πr²

=>dV/dt=(dv/dr)·(dr/dt)

=>dV/dt=4πr².(dr/dt)

We are given that dr/dt=0.6inches/sec

So, dV/dt=4πr²·(0.6)

Now, putting values of r=2.3

 dV/dt=4π(2.3)²×(0.6)

=>dV/dt=4×3.14×2.3×2.3×0.6

=>dV/dt=59.11221inches³/sec

Hence, if we suppose suppose that the radius is expanding at a rate of 0.6 inches per second, the volume is changing at the rate of 59.11221inches³/sec when the radius is 2.3 inches.

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In this triangle, the product of tan A and tan C is `(BC)^2/(AB)^2`.

The given triangle ABC has angle A measuring 45 degrees, angle B measuring 90 degrees, and angle C measuring 45 degrees , Answer: `(BC)^2/(AB)^2`.

We have to find the product of tan A and tan C.

In triangle ABC, tan A and tan C are equal as the opposite and adjacent sides of angles A and C are the same.

So, we have, tan A = tan C

Therefore, the product of tan A and tan C will be equal to (tan A)^2 or (tan C)^2.

Using the formula of tan: tan A = opposite/adjacent=BC/A Band, tan C = opposite/adjacent=AB/BC.

Thus, tan A = BC/AB tan C = AB/BC Taking the ratio of these two equations, we have: tan A/tan C = BC/AB ÷ AB/BC Tan A * tan C = BC^2/AB^2So, the product of tan A and tan C is equal to `(BC)^2/(AB)^2`.

Answer: `(BC)^2/(AB)^2`.

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There are 20 cards with at least one 6 printed on them in a deck of 400 cards numbered from 1 to 400.

Let's find the number of cards with a 6 in the tens place in a deck. There are 10 possible numbers in the ones place (0-9) and only one possible number in the tens place (6), so, 10 x 1 = 10 cards with a 6 in the tens place.

Next, let's find the number of cards with a 6 in the ones place. There are 10 possible numbers in the tens place (0-9) and only one possible number in the ones place (6), so, 10 x 1 = 10 cards with a 6 in the ones place.

Finally, let's find the number of cards with a 6 in both the tens and ones place. There is only one possible number in the tens place (6) and only one possible number in the ones place (6), so,  1 x 1 = 1 card with a 6 in both the tens and ones place.

To find the total number of cards with at least one 6 printed on them is: 10 + 10 + 1 = 21.

However, we need to subtract the number of cards with a 6 in both the tens and ones place, since we counted those cards twice: 21 - 1 = 20.

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Answer:

answer is 25

Step-by-step explanation:

x+2+153=180

x+155=180

x=180-155

x=25

hope this helps :)

The most appropriate units to describe the cost of the sandbox would indeed be dollars.

When describing the cost of an item or service, it is essential to use the unit that represents the currency being used for the transaction. In this case, the total cost of the sand for the school's sandbox is given in dollars. To maintain consistency and clarity, it is best to express the cost in the same unit it was provided.

Using dollars as the unit for the cost allows for clear communication and understanding among individuals involved in the transaction or discussion. Dollars are widely recognized as the standard unit of currency in many countries, including the United States, where the dollar sign ($) is commonly used to denote monetary values.

Using meters, the unit for measuring the dimensions of the sandbox, to describe the cost would be inappropriate and could lead to confusion or misunderstandings. Mixing units can cause ambiguity and hinder effective communication.

Therefore, it is most appropriate to describe the cost of the sand in dollars, aligning with the unit of currency provided and commonly used in financial transactions. This ensures clarity and facilitates accurate comprehension of the cost associated with the sand purchase for the school's sandbox.

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The equation of the line perpendicular to y=-3x-1 that passes through the point (3,4) is y = (1/3)x + 3.

What do you mean by equation of line?

The slope of the line and a point on the line can be used to create the equation of a line. The slope of the line, which can be stated as a numeric integer, fraction, or the tangent of the angle it forms with the positive x-axis, is the line's inclination with respect to the positive x-axis.

The slope of the line given in the question is: -3,

The slope of perpendicular line is negative reciprocal of the slope of other line,

So,

The slope of perpendicular line is: 1/3.

The equation of the line is generally in the form:

y = mx + c

So, the equation of line becomes:

y = (1/3)x + c

We have given that the line passes through the point (3,4).

Putting the values of x and y in the above equation to get the value of c.

4 = (1/3)(3) + c

c = 3

Putting the value of c in the equation,

y = (1/3)x + 3

This is the required equation.

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Answer:

(-3,-4) and (3,4).

Step-by-step explanation:

Given:

There are seven total digits.

The first 3 are already selected, so there is a choice for 4 digits.

There are 10 possible choices for each of the other 4 digits, so there are a total of 10×10×10×10 choices. Therefore:

Answer: 10000

(a) The z-score corresponding to x = 25 is -1. (b)The z-score corresponding to x = 42 is 2.4.(c) The raw score corresponding to z = -3 is 15. (d)  The raw score corresponding to z = 1.5 is 37.5.

For a normal distribution with mean μ = 30 and standard deviation σ = 5:

(a) To find the z-score corresponding to x = 25, we use the formula:

z = (x - μ) / σ

Substituting the values, we get:

z = (25 - 30) / 5 = -1

Therefore, the z-score corresponding to x = 25 is -1.

(b) To find the z-score corresponding to x = 42, we again use the formula:

z = (x - μ) / σ

Substituting the values, we get:

z = (42 - 30) / 5 = 2.4

Therefore, the z-score corresponding to x = 42 is 2.4.

(c) To find the raw score (x) corresponding to z = -3, we use the formula:

z = (x - μ) / σ

Rearranging the formula, we get:

x = μ + zσ

Substituting the values, we get:

x = 30 + (-3) x 5 = 15

Therefore, the raw score corresponding to z = -3 is 15.

(d) To find the raw score (x) corresponding to z = 1.5, we use the same formula:

x = μ + zσ

Substituting the values, we get:

x = 30 + 1.5 x 5 = 37.5

Therefore, the raw score corresponding to z = 1.5 is 37.5.

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Answer: no

Step-by-step explanation:

an example of a linear equation is x + 1. linear means a straight line. In a linear, the highest exponent on the x opponent is 1. in the equation 3x^2 + 2, the highest exponent on the x opponent is 2 which means this is a quadratic not a linear.

So basically you have to drag an angle to the box, example drag DFA to the box, then add what angle it is equal to. You have to calculate the angle and drag it opposite to the DFA. For DFA, it will be 58.

Answer:

10in

Step-by-step explanation:

Answer:

4d^6e^4

Step-by-step explanation:

I am pretty sure this is the answer (love the luna profile picture)

1 ) x²-1

x³+4

2) 2x 4/3

3) now try these all

Answer/Step-by-step Explanation:

1. 3x - 10 +4 if x = 3

To evaluate, plug in the value of x in the expression given

3(3) - 10 + 4 = 9 - 10 + 4

= 3

2. \( \frac{x}{2} + 6x \)

if x = -12

\( \frac{(-12)}{2} + 6(-12) \)

- 6 - 72 = - 78

3. 8(x - y), if x = 2, y = 6

8(2 - 6) = 8(-4) = -32

4. x + xy, if x = 3, y = -2.5

3 + (3)(-2.5) = 3 + (-7.5)

= 3 - 7.5 = - 4.5

5. (2x)² + 6, if x = -2

(2*-2)² + 6 = (-4)² + 6

= 16 + 6 = 22

6. 3x + 4y - 3x, if x = 2, y = 4

3(2) + 4(4) - 3(2) = 6 + 16 - 6

= 16

7. \( -10x + \frac{4}{x} \)

If x = -2

\( -10(-2) + \frac{4}{-2} \)

20 + (-2) = 20 - 2 = 18

8. 3(8x - 10) + 5x, if x = ½

3(8*½ - 10) + 5(½)

3(4 - 10) + 2.5

3(-6) + 2.5 = -18+2.5 = - 20.5 or 20½

9. x + 8y - (x)², if x = -5, y = ¼

-5 + 8(¼) - (-5)² = -5 + 2 - (25)

= -3 - 25 = -28

10. (8x)² + 6x + 2, if x = -3

(8*-3)² + 6(-3) + 2 = (-24)² - 18 + 2

= 576 - 18 + 2 = 560

11. 2x² + 4y² + xy, if x = ½, y = 2

2(½)² + 4(2)² + (½)(2)

= 2(¼) + 4(4) + 1

= ½ + 16 + 1 = ½ + 17 = 17½

12. 8x + 2y, if x = 1.5, y = -2.2

8(1.5) + 2(-2.2)

12 - 4.4 = 7.6

13. \( \frac{5}{2}(x - 6) + 4 \)

if x = 8.

\( \frac{5}{2}(8 - 6) + 4 \)

\( \frac{5}{2}(2) + 4 \)

= 5 + 4 = 9

14. 3x - 8x² + 7, if x = 4.5

3(4.5) - 8(4.5)² + 7

13.5 - 8(20.25) + 7

13.5 - 162 + 7 = -141.5

15. -2x² + 8y, if x = 3, y = -9

-2(3)² + 8(-9)

-2(9) - 72 = - 18 - 72 = 90

16. (-5x)² - 3x + x, if x = -3.5

(-5*-3.5)² - 3(-3.5) +(-3.5)

(17.5)² + 10.5 - 3.5

306.25 + 10.5 - 3.5 = 313.25

Answer:

hope it helps ......

Step-by-step explanation:

....

have a great day

Erika has 6.53 kilograms of apples, which is more than the 6 kilograms she needed for the recipe. Therefore, she has enough apples to make the recipe.

To determine if Erika has at least 6 kilograms of apples, we need to add the weight of all three bags of apples. The total weight of the apples is:

2.56 kg + 1.18 kg + 2.79 kg = 6.53 kg

Erika needs a certain amount of apples for a recipe, specifically 6 kilograms. She goes to the store and picks three different bags of apples - a 2.56-kilogram bag of red apples, a 1.18-kilogram bag of green apples, and a 2.79-kilogram bag of yellow apples. To determine if she has enough apples, she needs to add the weight of all three bags. The total weight of the apples comes out to be 6.53 kilograms. This means that Erika has more than the required 6 kilograms of apples and is sufficient to make the recipe. It's important to note that Erika has an excess of apples, which can be helpful in case she needs extra for the recipe or for future use. The combination of different types of apples can also add variety and flavor to the recipe.

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As per the mentioned informations, there are 4 slip planes associated with each of the 3 unique <111> directions, giving a total of 12 unique {110} slip planes in a body-centered cubic (BCC) crystal

In a body-centered cubic (BCC) crystal, there are 12 slip systems of the {110} type. Each of these slip systems is associated with a unique slip plane.

To understand why there are 12 slip systems, consider that the {110} plane has two perpendicular <111> directions, which are the directions of maximum atomic density in a BCC crystal. Each of these <111> directions can be associated with four equivalent {110} slip planes, which intersect at a line that lies along the <111> direction.

Therefore, there are 4 slip planes associated with each of the 3 unique <111> directions, giving a total of 12 unique {110} slip planes in a BCC metal.

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. The quadratic approximation of the function f(x) = (1 + x)^k at x = 0 using Taylor's formula with n = 2 is Q(x) = 1 + kx + (k(k-1)/2)\(x^{2}\)

To find the quadratic approximation, we need to use Taylor's formula with n = 2. The formula for the quadratic approximation Q(x) is given by:

Q(x) = f(0) + f'(0)x + (1/2)f''(0)\(x^{2}\)

Since f(x) =\((1 + x)^{k}\), we first find the derivatives of f(x) up to the second order. Taking the derivatives, we have:

f'(x) = k\((1 + x)^{k-1}\)

f''(x) = k(k-1)\((1 + x)^{k-2}\)

Now, we substitute these derivatives into the quadratic approximation formula:

Q(x) = f(0) + f'(0)x + (1/2)f''(0)\(x^{2}\)

At x = 0, we have:

Q(0) = f(0) + f'(0)(0) + (1/2)×0

= f(0)

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The decision for values of χ^2 obt close to 0 will depend on the level of significance and should be made in the context of the specific hypothesis being tested and the available evidence.

If the obtained value of chi-squared (χ^2 obt) is close to 0, it suggests that the observed data is not significantly different from the expected data. This means that the null hypothesis, which assumes that there is no significant difference between the observed and expected data, is likely to be accepted.

However, the decision whether to accept or reject the null hypothesis also depends on the level of significance (alpha) chosen for the test. If the level of significance is low, even a small difference between the observed and expected data can lead to the rejection of the null hypothesis. On the other hand, if the level of significance is high, a larger difference between the observed and expected data may be required to reject the null hypothesis.

Therefore, the decision for values of χ^2 obt close to 0 will depend on the level of significance and should be made in the context of the specific hypothesis being tested and the available evidence.

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When the values of χ 2 obt close to 0, the decision is likely to be that the null hypothesis cannot be rejected.

The chi-square test is a statistical test used to determine whether an observed distribution of categorical data varies significantly from an expected distribution. It is utilized to investigate the association between two or more categorical variables, and the test evaluates the likelihood of the observed frequencies of each category of data based on the expected frequency of that data.The Chi-Square DistributionThe chi-square distribution is a collection of distributions that are used to describe data that have a characteristic called degrees of freedom. The degrees of freedom are calculated using the number of categories minus 1 in the categorical variable being tested.

The distribution is always positive and right-skewed, with the majority of the distribution situated in the right tail. When the values of χ 2 obt close to 0, the decision is likely to be that the null hypothesis cannot be rejected.

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Solution

For this case we have the following system of equations:

x + y= 1

3x + 5y= 15

We can create the following plot:

Then the solution for this case is:

x= -5

y= 6

Answer:

y - 2 = -2(x - 1)

Step-by-step explanation:

Point slope form is

y - y₁ = m(x - x₁)

where x₁ and y₁ are a point on the line

We are given (x₁, y₁)  = (1, 2) and m = -2

plugging in

y - 2 = -2(x - 1)

Answer:

25%

Step-by-step explanation:

90/120=0.75

1-0.75=0.25

0.25x100= 25%