The equation for this graph has a leading coefficient that is ____.
Positive
Negative
Zero

What are the possible degrees for the equation of this graph?
even degrees of two or greater
odd degrees of three or greater
even degrees of four or greater
odd degrees of five or greater Degree and Leading Coefficient

Answer:

Step-by-step explanation:

To express the confidence interval 0.039 < p < 0.479 in the form p ± E, we need to find the midpoint of the interval and half of the width.

The midpoint of the interval is the average of the lower and upper bounds:

Midpoint = (0.039 + 0.479) / 2 = 0.259

The width of the interval is the difference between the upper and lower bounds:

Width = 0.479 - 0.039 = 0.44

Half of the width is obtained by dividing the width by 2:

Half Width = 0.44 / 2 = 0.22

Therefore, the confidence interval 0.039 < p < 0.479 can be expressed as:

p ± E = 0.259 ± 0.22

So, the correct option is:

D. 0.259 ± 0.22

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Given:

Sides of a rectangle are 9.5x+14.3y cm and 11.7x+22.8y cm.

To find:

The perimeter of the cardboard in terms of x and y.

Solution:

We know that, perimeter of a rectangle is

\(Perimeter=2(length +width)\)

Now,

\(Perimeter=2[(9.5x+14.3y) +(11.7x+22.8y)]\)

On combining like terms, we get

\(Perimeter=2[(9.5x+11.7x) +(14.3y+22.8y)]\)

\(Perimeter=2[21.2x +37.1y]\)

using distributive property, we get

\(Perimeter=2(21.2x) +2(37.1y)\)

\(Perimeter=42.4x+74.2y\)

Therefore, the perimeter of the cardboard in terms of x and y is 42.4x+74.2y cm.

Answer: π

Step-by-step explanation:

To convert from degrees to radians, you want to multiply the degrees by (π/180). In this case, we would multiply 180° by (π/180).

\(180*\frac{\pi }{180} =\pi\)

Answer: umm I think the best estimate would be$37.38

Step-by-step explanation:

Answer:

x = 13

Step-by-step explanation:

using the Pythagorean theorem

x² = 85² - 84²

x² = 7225 - 7056 = 169

x = 13

Answer:

x = √(85²-84²)

x = √(7225-7056)

x = √169

x = 13

The logarithm of 7 with base 7 is equal to 1, since any number to the power of 1 is equal to itself.

The logarithm of a number is the exponent to which a base number must be raised to produce that number. For example, the logarithm of 10 with base 2 is 3, since 2 to the power of 3 is equal to 10. In this case, the logarithm of 7 with base 7 is equal to 1, since any number to the power of 1 is equal to itself.

This is because logarithms have the property that logb b = 1. This means that the logarithm of a number with the same base as the number itself is always equal to 1. This is why, in the case of log7 7, the answer is 1.

Logarithms can be used to simplify mathematical equations, as logarithms of multiplication and division are equal to the sums and differences of the logarithms of the individual numbers. They are also used in many scientific and engineering applications, such as calculating the pH of a solution.

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Consider the general term,

Substitute 0, 1, 2, 3 to get the first 4 terms of the series,

Consider that the difference between any two successive terms is constant at 6.

So this series will definitely form an arithmetic sequence.

So, it is a YES for the first box.

As already calculated the terms corresponding to n=0 is 2.

So the first term is 2.

Also the common difference is calculated by subtracting any term from its succeeding term,

Thus the common difference is 6.

Answer:

radius is 6

diameter is 12

Step-by-step explanation:

to find radius you divide the diameter by 2

Answer:

33,750

Step-by-step explanation:

2 inches = 112.5 ft

8 inches = 300 feet

112.5 x 300 = 33750

Answer: 41.40962211 or 41.41

Step-by-step explanation:

Cos i = 30/40

x = Cos ^-1 (30/40)

x = 41.41 or 41.40962211

Answer:

28

Step-by-step explanation

5x7=45

7x7=49

4x7=28

Hope this helps :)

\(\bigstar\boxed{\large\bf{\leadsto 6\:floors}}\)

⠀⠀━━━━━━━━━━━━━━━━━━━━━━━━━━━━⠀⠀

\(\begin{gathered}\rm{ \underline{ \underline{ \red{Given}}}}\begin{cases}\sf{height\:of\:one\:floor\:of\:dollhouse =12.4\:in} & \\ \\\sf{Height\:of\: dollhouse=75\:in}&\end{cases}\\\\\end{gathered} \)

➜ Therefore , Total number of floors can be find out by dividing the total height of dollhouse by the length of one floor

‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\(\bf{=\cancel{ \dfrac{75}{12.5}}}\)

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎

‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\(\bf{= 6}\)

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎

⠀⠀━━━━━━━━━━━━━━━━━━━━━━━━━━━━⠀⠀

Answer:

Hope this helps :)

Step-by-step explanation:

Because x is an absolute value, the value of y is always greater than or equal to zero. I attached the graph below. As you'll see, when x is a negative number, it was the same value as the positive of that value. When x = 1 or x = -1, y = 5.

If Jay spends 40 at the store, the number of points he will earn is; 10 points

Let the number of rewards points a customer earns be y

Let the amount of money, in dollars, that the customer spends at the store be x.

Since the number of rewards points a customer earns varies directly with the amount of money, in dollars, that the customer spends at the store, then we can say that;

y ∝ x

Thus;

y = kx

where k is the constant of proportionality.

We are given x = 15 when y = $60. Thus;

60 = 15k

k = 60/15

k = 4

If Jay spends $40, it means the number of points will be;

40 = 4x

40/4 = x

x = 10 points.

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Answer:

20km if 4cm=5km then 16cm=20km

Assuming all the fishes caught by Bridget and her dad have the same total weight, then the first fish Bridget caught would weigh 5 ounces while the first fish caught by her dad weighed 17 ounces.

Weight can be defined as the force acting on an object or a physical body due to the effect of gravity. Also, the weight of a physical object (body) is typically measured in Newton or ounces.

First of all, we would determine the weight of all of the fishes caught by both Bridget and her father (dad) while translating the word problem into an algebraic equation as follows:

For Bridget, we have:

Bridget's fish = f + 2f + 3f + 2 + ½f + ⅗f

Bridget's fish = 7 f/10 + 2      ......equation 1.

For her dad, we have:

Dad's fish = 3f + 2 + ⅘f + 2f + 4 + ½f

Dad's fish = 6 3f/10 + 6            ......equation 2.

Equating eqn. 1 and eqn. 2, we have:

7 f/10 + 2 = 6 3f/10 + 6

7 f/10 - 6 3f/10 = 6 - 2

8f/10 = 4

8f = 40

f = 40/8

Bridget, f = 5 fishes.

Since her dad's fish weighed 2 more than 3 times, we have:

Dad = 3f + 2

Dad = 3(5) + 2

Dad = 15 +2

Dad = 17 ounces.

In conclusion, the first fish Bridget caught would weigh 5 ounces while the first fish caught by her dad weighed 17 ounces assuming all the fishes caught by Bridget and her dad have the same total weight.

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Complete Question:

Bridget went fishing with her dad. Bridget caught the first fish of the day, and it weighed f ounces. That day, she caught four more fish. One was 2 times the weight of the first fish, another was 2 more than 3 times the weight of the first fish, the next was 1/2 the weight of the first fish, and the last was 3/5 the weight of the first fish. Bridget’s dad caught four fish. The first fish he caught weighed 2 more than 3 times the weight of the first fish caught that day. One fish weighed 4/5 the weight of the first fish caught that day, one weighed 4 more than 2 times the weight of the first fish caught that day, and the last weighed 1/2 the weight of the first fish caught that day.

If all the fish Bridget caught have the same total weight as all the fish her dad caught, then the first fish Bridget caught weighed___ ounces and the first fish her dad caught___ weighed ounces.

Answer:

Step-by-step explanation:

Answer:

45% of the mangoes are bad.

Step-by-step explanation:

Given that:

Number of mangoes in basket = 40

Number of good mangoes = 22

Number of bad mangoes = Total mangoes - Good mangoes

Number of bad mangoes = 40-22

Number of bad mangoes = 18

Percent of bad mangoes = \(\frac{bad\ mangoes}{total\ mangoes}*100\)

Percent of bad mangoes = \(\frac{18}{40}*100\)

Percent of bad mangoes = 0.45*100 = 45%

Hence,

45% of the mangoes are bad.

In general, if the sample size is large, adding an extremely large outlier to a data set will not substantially affect the mean.

A very large outlier will typically not significantly change the mean of a data set if the sample size is large. However, adding an extremely large outlier to a data set with a small sample size can have a substantial effect on the mean.

This is because the mean is heavily influenced by the values of the individual data points, and an outlier can have a disproportionately large impact on the mean if the sample size is small.

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Therefore, the graph should show a straight line with a positive slope, starting at (0, 100) and passing through (2, 120), since 2 students attending the dance would raise $120.

by the question.

graph with the x axis labeled number of students and the y axis labeled amount of money raised and a line going from the point 0 comma negative 100 through the point 2 comma negative 80.

graph with the x axis labeled number of students and the y axis labeled amount of money raised and a line going from the point 0 comma negative 100 through the point 2 comma negative 120

graph with the x axis labeled number of students and the y axis labeled amount of money raised and a line going from the point 0 comma 100 through the point 2 comma 80.

graph with the x axis labeled number of students and the y axis labeled amount of money raised and a line going from the point 0 comma 100 through the point 2 comma 120

The correct graph that describes the relationship between the amount of money raised and the number of students who attend the dance is

graph with the x-axis labeled number of students and the y-axis labeled amount of money raised and a line going from the point (0, 100) through the point (2, 120).

This is because the club has a fixed cost of $100 for decorations, which is independent of the number of students attending the dance. For every student that attends the dance, the club raises $10. Therefore, the graph should show a straight line with a positive slope, starting at (0, 100) and passing through (2, 120), since 2 students attending the dance would raise $120. The other two graphs have incorrect slopes or starting points, and do not accurately represent the relationship between the number of students attending the dance and the amount of money raised.

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The best approximation of the solution to the system to the nearest integer values X minus Y equals negative 65X plus 3Y equals 24 are x = 43 and y = 22

From the information given, we have the expressions;

This is represented as;

x - y = -65

x + 3y = 24

Make 'x' the subject from equation 1

x = -65 + y

Now, substitute the expression into equation (2), we get;

-65 + y + 3y = 24

collect the like terms

4y = 24 + 65

Add the like terms

4y = 89

Divide the values by the coefficient of y

y = 89/4 = 22

Substitute the value in eqation3

x = -65 + 22

Add the values

x = 43

Hence, the values are 43 and 22

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Answer:

Step-by-step explanation:

To solve the compound inequality -5 <= 4x - 1 < 7, we'll need to solve each inequality separately and then combine the solutions.

Starting with -5 <= 4x - 1, we'll add 1 to both sides:

-5 + 1 <= 4x - 1 + 1

-4 <= 4x

Dividing both sides by 4 (and remembering to flip the inequality since we're dividing by a positive number), we get:

-1 <= x

Now let's look at 4x - 1 < 7. We'll add 1 to both sides here too:

4x - 1 + 1 < 7 + 1

4x < 8

Dividing both sides by 4:

x < 2

So our solutions for the compound inequality are:

-1 <= x < 2

In interval notation, we write this as:

[-1, 2)

The annual interest rate, r, is 0.1 or 10%. A 10% annual interest rate resulted in the investment growing from $5,000 to $6,050 in 2 years.

To find the annual interest rate, r, we can rearrange the compound interest formula A = P(1 + r) and solve for r.

Given that an investment of $5,000 grows to $6,050 in 2 years, we can substitute these values into the formula:

$6,050 = $5,000

\( {1 + r}^{2}\)

Dividing both sides by $5,000, we have:

1.21 =

\((1 + r)^2\)

Taking the square root of both sides, we get:

√1.21 = 1 + r

Simplifying, we have:

1.1 - 1 = r

0.1 = r

This means that the investment grew by 10% annually over the 2-year period. Compound interest is calculated by adding the interest earned to the initial amount, and as time passes, the interest is earned on both the initial amount and the accumulated interest from previous periods. In this case, a 10% annual interest rate resulted in the investment growing from $5,000 to $6,050 in 2 years.

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Answer:

30.8936

Step-by-step explanation:

Pressure guage reading is 8% lower than tbe actual pressure.

Therefore, for a tyre with guage pressure, 33.58 ;

The actual pressure of tyre would be :

Guage pressure - 8% of guage pressure

33.58 - (0.08 * 33.58)

33.58 - 2.6864

= 30.8936

Actual pressure = 30.8936

The number that can each terms of the equation be multiplied by to eliminate the decimals before solving is 100

The equation is

5.6j + 0.12 = 4 + 1.1j

The equation is defined as the mathematical expression that shows the relationship between one expression and another expression with equal sign. The equation consist of mathematical operator like addition, subtraction, division and multiplication

The equation is

5.6j + 0.12 = 4 + 1.1j

Here three term has fractional part.

In 0.12 there are two digits after the decimal point to eliminate the decimal number we have to multiply the number with 100 .

Then the equation will become

560j + 12 = 400 + 110j

Therefore, the number is 100

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The given question is incomplete, the complete question is

Which number can each term of the equation be multiplied by to eliminate the decimals before solving?

5.6j + 0.12 = 4 + 1.1j

To find the shaded area you subtract the area of the triangle from the area of the rectangle:

Then, Tony's mistake was that he added the areas instead of subtract it.

The shaded are is:

Answer:

150%

Step-by-step explanation:

Answer:

100 percent is the answer

Answer:  A

Step-by-step explanation:

When multiplying: Numbers multiply with numbers and for the x's, add the exponents

If there is no exponent, you can assume an imaginary 1 is the exponent

2x⁴ (3x³ − x² + 4x)

= 6x⁷ -2x⁶ + 8x⁵

Answer:

A. \(6x^{7} - 2x^{6} + 8x^{5}\)

Label the parts of the expression:

Outside the parentheses = \(2x^{4}\)

Inside parentheses = \(3x^{3} -x^{2} + 4x\)

You must distribute what is outside the parentheses with all the values inside the parentheses. Distribution means that you multiply what is outside the parentheses with each value inside the parentheses

\(2x^{4}\) × \(3x^{3}\)

\(2x^{4}\) × \(-x^{2}\)

\(2x^{4}\) × \(4x\)

First, multiply the whole numbers of each value before the variables

2 x 3 = 6

2 x -1 = -2

2 x 4 = 8

Now you have:

6\(x^{4}x^{3}\)

-2\(x^{4}x^{2}\)

8\(x^{4} x\)

When you multiply exponents together, you multiply the bases as normal and add the exponents together

\(6x^{4+3}\) = \(6x^{7}\)

\(-2x^{4+2}\) = \(-2x^{6}\)

\(8x^{4+1}\) = \(8x^{5}\)

Put the numbers given above into an expression:

\(6x^{7} -2x^{6} +8x^{5}\)

distribution

variable

like exponents