Please help will give 30 points.

Answer: x = log₃₇(12)

Step - by - step explanation:

1. Remove the variable from the exponent using logarithms

37^x=12

Take the common logarithm of both sides of the equation:

log₁₀(37^x)=log₁₀12)

Use the log rule:  log_a(x^y)=y*log_a(x) to move the exponent outside the logarithm:

x*log₁₀(37)=log₁₀(12)

2. Isolate the x-variable

x*log₁₀(37)=log₁₀(12)

Divide both sides of the equation log₁₀(37) by:

x = log₁₀(12) / log₁₀(37)

Use the formula  [tex]log_{b}(x)/log_{b}(a) = log_{a} (x)[/tex]

to combine the logarithms into one:

x=log₃₇(12)

Decimal form:

x=0.6881648129099501

Hope this helps!

By taking a quotient between the number of packages and the rate at which James works, we conclude that he will need 467 hours.

We know that James wraps at a rate of 8 packages in one hour. Then to get the time in which he can wrap a number N of packages, we need to take the quotient between N and 8.

In this case, N = 3,736.

Taking the quotient we get:

3,736/8 = 467

This means that in 467 hours he will wrap the 3,736 packages.

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Answer:

Option A: Linear Regression

Step-by-step explanation:

The sale values do not increase in a quadratic or exponential function.

The shortest height of the box that will hold the map is 6 ft option (C) is correct.

The square of the hypotenuse in a right-angled triangle is equal to the sum of the squares of the other two sides.

We have:

Dina is shipping a wall map to a collector. When the map is rolled up, it measures.

From the figure we can apply the Pythagoras theorem to find the length BA:

BA² = 3² + 3²

BA = √18

Again applying Pythagoras theorem:

The height

AD² = 7² - (√18)²

AD² = 31

AD = √31 ft = 5.56 ft ≈ 6 ft

Thus, the shortest height of the box that will hold the map is 6 ft option (C) is correct.

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The number of eggs sold on Tuesday is 2 complete circles, while the number of eggs sold on Wednesday is 2 complete circles and 1 quarter of the circle.

A graph is a way to represent a lot of data in such a visual format that it is easy for the user to understand the complete information in one go. Usually, the line of the graph is a function that follows the graph.

Given on Monday the shop sold 18 eggs. Therefore, each quarter of the circle represents 3 eggs.

Hence, the number of eggs sold on Tuesday is 2 complete circles, while the number of eggs sold on Wednesday is 2 complete circles and 1 quarter of the circle.

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If the standard deviation of an exam is 5, the z-score us 1.95 and the mean is 80, the actual test score is; 89.75

We are given;

Standard deviation; s = 5

z-score = 1.95

Mean = 80

Formula for z-score is;

z = (x' - μ)/σ

Thus;

1.95 = (x' - 80)/5

1.95 * 5 = (x' - 80)

9.75 = x' - 80

x' = 80 + 9.75

x' = 89.75

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Answer:

The arrows on the line segments mean that the lines are parallel.

⇒ EB ║ DC

Therefore, according to Triangle Proportionality Theorem, EB divides the two sides AD and AC proportionally.

Therefore:

[tex]\begin{aligned}\sf \dfrac{AE}{AD} & = \sf\dfrac{AB}{AC}\\\\ \implies \sf \dfrac{10}{10+8} & = \sf \dfrac{x}{10}\\\\ \sf \dfrac{10}{18} & = \sf \dfrac{x}{10}\\\\ \sf 10 \cdot 10 & = \sf 18x\\\\\sf 100 & = \sf 18x\\\\ \sf x & = \sf \dfrac{100}{18}\\\\ \sf x & = \sf 5.5555...\end{aligned}[/tex]

As x = 5.55555... round to 5.6 to the nearest tenth,
none of the choices are correct.

Let's see

Use Thales theorem

[tex]\\ \rm\Rrightarrow \dfrac{AE}{AD}=\dfrac{AB}{AC}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{10}{10+8}=\dfrac{x}{10}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{10}{18}=\dfrac{x}{10}[/tex]

[tex]\\ \rm\Rrightarrow 18x=100[/tex]

[tex]\\ \rm\Rrightarrow x=5.56[/tex]

NOTA

Answer:

79 square inches.

Step-by-step explanation:

Mark is baking a pie that has a diameter of 10 inches. he wants to cover the top of the pie with a pie crust. what is the area of the crust that will cover the top of the pie?

Pie = circle (shape)

What is the area of a circle 10 inches in diameter? ≈ 79 square inches. and r denotes the radius. = 78.5 square inches. ≈ 79 square inches.

Answer:

-1

Step-by-step explanation:

Let the points be (0, a) and (a, 0) (As it mentions the intercepts are equal)

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

Applying slope formula :

⇒ m = 0 - a / a - 0

⇒ m = -a/a

⇒ m = -1

Answer:

132°

Step-by-step explanation:

We use the circle theorem which states that :

Opposite angles in a cyclic quadrilateral add up to 180 .

Now we know that angles ADC and ABC add up to 180. So :

We make an equation and solve for x :

x+(3x-12) = 180

4x-12 = 180

4x = 192

x = 48

Now we substitute the value of x into Angle B :

3(48) -12 =

144 - 12 = 132

Angle B = 132 °

Hope this helped and have a good day

Answer: B. -3 and 7

Step-by-step explanation:

To find the zeros, just move the constants to the other side,

x - 7 ⇒ x = 7

x + 3 ⇒ x = -3

If the number is moved to the other side its sign becomes opposite

Hope it helps!

Answer:

22 pages per hour.

Step-by-step explanation:

5.5/15 = 0.36666

0.36666 * 60 = 22

The proportion of sophomores that do not own a car is equal to 0.93.

Ratio is a mathematical expression that is used to denote the proportion of two (2) or more quantities with respect to one another and the total quantities.

The proportion of sophomores that do not own a car is given by:

Therefore, proportion = 398/427 = 0.93.

The proportion of all students who are seniors who own cars is given by:

Therefore, proportion = 123/1192 = 0.10.

The proportion of non-car owners who are juniors is given by:

Therefore, proportion = 339/976 = 0.35.

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Complete Question:

At Central High School, there are 398 sophomores who do not own a car and 29 who do. There are 64 juniors who own a car and 339 who do not. There are 123 seniors who own a car, compared to 239 who do not. The above is a two-way table depicting this situation. Complete the following statements below by finding the ratio, then converting to a decimal. Round to the nearest hundredth.

The proportion of sophomores that do not own a car is?

The proportion of all students who are seniors who own cars is?

The proportion of non-car owners who are juniors is?

The wrong conclusions that can be drawn from the circle graph are:

The Country section has the smallest area.

The Classical section is not included in the Circle Graph.

A circle graph is a graph that displays information in a circle. The circle is divided into slices which represent a numerical proportion. The sum of angles in a pie chart is 360 degrees

In the circle graph, the country section has a percentage of 10% while the classical section has a percentage of 2%.

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Answer:

the answer is D  

Step-by-step explanation:

look at the table there are 5 music genres but there's only 4 on the circle graph.

Answer:

Step-by-step explanation:

let r be the radius of the circle.

→ We know that in circle , the length of an arc

and the corresponding central angle are proportional.

180 corresponds to πr

120 corresponds to 10π

Then

[tex]\frac{\uppi r}{180} =\frac{10\uppi }{120}[/tex]

[tex]\Longrightarrow r=\frac{180\times 10\pi }{120\pi } =\frac{180}{12} =15[/tex]

The area of the rectangle is 64.8 square .inch

A rectangle is a polygon with four sides , opposite sides are parallel and equal.

It is given that

A rectangle is divided into exactly 20 congruent squares

If they are lined up the Length is 36 inches

Therefore the length of each square or the side of the square = 36/20

= 1.8 inch

The area of the rectangle will be

20* Side of square * Side of square

=20*1.8*1.8

= 64.8 square inch

The area of the rectangle is 64.8 square .inch

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Answer:

well the area of a circle is [tex]\pi r^{2}[/tex]

Step-by-step explanation:

since they want it in terms of pi
just say, 25[tex]\pi[/tex]

The correct true statement is: b.  The swimmer comes back up 9 seconds after the timer was started.

Given:

h(t)=t^2−12t+27

Let velocity of the function= 0

h(t) = 2t - 12

0 = 2t - 12

2t = 12

Divide both side by 2t

t=12/2

t = 6secs

Substitution

h(6) = 6²-12(6)+27

h(6) = 36 - 72 + 27

h(6) = -36 + 27

h(6) = -9 feet

The correct statement is b.

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Answer:

Radius=4 units

Centre= (0,-10)

Step-by-step explanation:

Given equation of circle is x^2 +(y-10)^2=16

Comparing it with (x-h)^2 +(y-k)^2 = r^2 ,we get,

r=4

Since, centre of a circle=(h,k)=(0,-10)

Answer:

Center (0;10) Radius= 4. Make me brainliest? :(

Step-by-step explanation:

[tex](x + 0)^{2} + (y - 10)^{2} = 16 \\ center(0.10) \\ radius = \sqrt{16} = 4[/tex]

Answer:

Step-by-step explanation:

width of the rectangle = 2116 ÷ 92 = 23

Perimeter of the rectangle = 2×(23 + 92) = 230

The distance of the tree from the house is: 45.99 feet

Angle of elevation is the angle the horizontal makes with the line of sight.

Analysis:

The tree lean towards a house meaning it does not lean on the house but a distance away from the house.

let the distance away from the house be d.

The line of sight intersects the top of the tree at a point.

The height of the point from the horizontal ground is 36 sin 87 = 36(0.998) = 35.92 feet

to find distance of the tree from the house, we use the angle of elevation which is 38  degrees. so that tan 38 = 35.92/d

d = 35.92/0.781  = 45.9 feet

In conclusion, the distance of the tree from the house is 45.9 feet

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Answer:

A. $30.76

Step-by-step explanation:

First find the amount of tax applied to the bill.

Change 7% to a decimal by moving the decimal point two places left.

7% = 0.07

Multiply

25 x 0.07 = 1.75

Add the amount of tax to the total cost.

25 + 1.75 = 26.75

Now find the amount of the tip.

Change 15% to a decimal by moving the decimal two places left.

15% = 0.15

Multiply

26.75 x 0.15 = 4.0125

Add the amount of the tip back into the cost.

26.75 + 4.0125 = 30.7625

Round

30.7625 = 30.76

Answer:

C. 1

Step-by-step explanation:

this is how you solve it

Answer:

a = -2

p = 2

w = 3

Step-by-step explanation:

The degree of the polynomial is 6 as it has five turning points.

From inspection of the graph it appears that the curve touches
the x-axis at x = 1.  

Therefore, a factor is (x - 1) with multiplicity of 2:   (x - 1)²

The curve appears to cross the x-axis at x = 2.

Therefore, a factor is (x - 2), so p = 2

There appears to be a point of inflection at x = -1

Therefore, a factor is (x + 1)³, so w = 3

The y-intercept appears to be at (4, 0)

The product of the constants of the found factors is:  

⇒  1³ × (-1)² × (-2) = -2

Therefore, to find the value of a:

⇒ 4 = -2a

⇒ a = -2

Therefore, the polynomial function is:

f(x) = -2(x + 1)³ (x - 1)² (x - 2)

The probability that the number of free throws he makes exceeds 80 is approximately 0.5000.

The complete question is as below:-

A college basketball player makes 80% of his free throws. Over the course of the season, he will attempt 100 free throws. Assuming free throw attempts are independent, the probability that the number of free throws he makes exceeds 80 is approximate:____________.

A) 0.2000

B) 0.2266

C) 0.5000

D) 0.7734

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Given that,

A college basketball player makes 80% of his free throws.

Over the course of the season, he will attempt 100 free throws.

Assuming free throw attempts are independent.

We have to determine,

The probability that the number of free throws he makes exceeds 80 is.

According to the question,

P(Make a Throw) = 80% = 0.80

number of free throws n = 100

Binomial distribution:

Mean: n x p = 0.80 x 100 = 80

Then, The standard deviation is determined by using the formula;

[tex]\sigma[/tex] = [tex]\sqrt{np(1-P)[/tex]

  = [tex]\sqrt{80\TIMES (1-0.80)[/tex]

  = [tex]\sqrt16[/tex]

  = 4

Therefore,

To calculate the probability that the number of free throws he makes exceeds 80 we would have to make the following calculation:

P ( x> 80) = 1 - P ( x < 80)

To calculate this value via a normal distribution approximation:

P ( [tex]Z < \dfrac{80-80}{4})[/tex] = 1-P(Z < 0 ) = 1 - 0.50 = 0.500

Hence, The probability that the number of free throws he makes exceeds 80 is approximately 0.5000.

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The amount of money that Suzie will make over the four weeks is; $1856

Suzie will make a profit of:

The first week =  $300

The second week =  (300 * 30%) + 300 = $390

The third week = 390 * (1430%) = $507

The fourth week: 507 × (1430%) = $659.1

Thus, Sum of profit = $300 + $390 + $507 + $659.1

Sum of Profit = $1856.1 ≈ $1856

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Answer:

0.319

Step-by-step explanation:

I have do 13/4068*100percent hope the answer that I have gave is correct

The value of f(3) is 9

The table that completes the question is added as an attachment.

From the complete table, we have:

When x = 3, the value of the function is 9

This means that:

f(3) = 9

Hence, the value of f(3) is 9

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