Below is the number of service calls a store received over a period of 87 days.





To graph the information into a frequency table, which interval below would be the most appropriate?


A. 1

B. 2

C. 4

D. 10

The area of the sphere is 8π.To find the area of the sphere, we need to determine its radius first. The tetrahedron's edge length (√2) represents the radius of the sphere.

The formula to find the area of a sphere is A = \(4\pi r^2\), where A is the area and r is the radius.

Plugging in the radius (√2) into the formula, we get:

A =\(4\pi(\sqrt{2} )^2\)
 = \(4\pi *2\)
 = \(8\pi\)

Therefore, the area of the sphere is 8π.

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The true number sentence is the third option:

6.8*1.3 = 8.84

Here we have number sentences of the form:

A*B = C

This is true only when the value of the product A*B is equal to the value of C.

One key thing to identify the correct one is remembering the rule of signs:

(+)*(-) = (-)

(+)*(+) = (+)

(-)*(+) = (-)

(-)*(-) = (+).

The only option that meets that rule is:

6.8*1.3 = 8.84

Where the product of two positive numbers gives another positive number (and the equality is true) so we conclude that this number sentence is true.

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The following specific topics are covered in 8th grade math:

-Mathematical operations

-Resolving equations with a single unknown

- One-variable linear equations

-Expressions in algebra

- square roots and squares

- Geometry

- Cube and cube root

-Data management

These are the headings that were previously mentioned. These subjects need to be investigated in depth going forward.

Algebraic expressions: What are they?

Using letters or alphabets to represent numbers without giving their exact quantities is the idea behind algebraic expressions. The fundamentals of algebra taught us how to express an unknown value using letters like x, y, and z. These letters are referred to here as variables.

What components make up one-variable linear equations?

One-variable linear equation is represented by the following equation:

A and B are two integers, and X is a variable, hence ax+b = 0. There is just one answer to this equation.

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Answer:

0 = 0

Step-by-step explanation:

Combine like terms: combine x and -2.

rearrange the terms on left side.

subtract 3 from both sides.

simplify (subtract -x and x)

0=0

Answer:

Step-by-step explanation:

Conclusion:

Therefore, 3/8 is the answer.

Hoped this helped.

Answer:

In no 4 you have written option B but it should be option C. All of the other except it is correct.

The exact value of R is 0.16 or 16% using compound interest.

To find the exact value of R, we need to use the formula for compound interest. The formula for compound interest is: A = P(1 + r/n)^(nt)Where A is the final amount, P is the principal amount, r is the nominal interest rate, n is the number of times interest is compounded per year, and t is the number of years.

We can plug in the values given in the question to find R. The interest earned during t = 0.5 to t = 1.5 is 1.0816 times the interest earned during t = 0 to t = 1.

So, we can set up an equation:1.0816(P(1 + R/4)^(4*1)) = P(1 + R/4)^(4*1.5)Simplifying the equation gives us:1.0816 = (1 + R/4)^0.5

Taking the square root of both sides gives us:1.04 = 1 + R/4Subtracting 1 from both sides and multiplying by 4 gives us:R = 0.16Therefore, the exact value of R is 0.16 or 16%.

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Answer:like pink and a half

Step-by-step explanation:you add a child into a duck and make orange

a) The limits of integration for the triple integral are  \(\int _0^{2\pi}\) \(\int _0^{2\pi}\) \(\int _0^{5}\) f(ρ,φ,θ) ρ²sinφ dρdφdθ

b) The value of the integral is 10π.

The limits of integration for the triple integral will depend on the volume of integration. In this case, the volume is the bottom half of a sphere of radius 5, which means that ρ varies from 0 to 5, φ varies from 0 to π/2, and θ varies from 0 to 2π. Hence, the limits of integration for the triple integral are:

\(\int _0^{2\pi}\) \(\int _0^{2\pi}\) \(\int _0^{5}\) f(ρ,φ,θ) ρ²sinφ dρdφdθ

To evaluate this integral, we need to set up a triple integral that represents the volume of the region W and the function f(x,y,z) over that region. The integral notation is represented as:

∫∫∫ f(x,y,z) dV

where dV represents an infinitesimal volume element and the limits of integration are determined by the region W. Since W is the bottom half of a sphere of radius 5, we can use spherical coordinates to represent the limits of integration.

In spherical coordinates, the volume element dV is represented as:

dV = ρ²sin(φ)dρdθdφ

where ρ represents the radial distance, φ represents the polar angle (measured from the positive z-axis), and θ represents the azimuthal angle (measured from the positive x-axis).

To integrate over the region W, we need to set the limits of integration accordingly. Since we are only looking at the bottom half of a sphere, the limits for ρ, φ, and θ are as follows:

0 ≤ ρ ≤ 5

0 ≤ φ ≤ π/2

0 ≤ θ ≤ 2π

Plugging in the limits of integration and the volume element into the integral notation, we get:

∫∫∫ f(x,y,z) dV =   \(\int _0^{2\pi}\) \(\int _0^{2\pi}\) \(\int _0^{5}\)  1 / √(ρ²) ρ²sin(φ) dρdφdθ

Simplifying this expression, we get:

 \(\int _0^{2\pi}\) \(\int _0^{2\pi}\) \(\int _0^{5}\)  sin(φ) dρdφdθ

Evaluating the innermost integral with respect to ρ, we get:

 \(\int _0^{2\pi}\) \(\int _0^{2\pi}\)  5sin(φ) dφdθ

Evaluating the middle integral with respect to φ, we get:

 \(\int _0^{2\pi}\)  [-5cos(φ)]dθ

Simplifying this expression, we get:

 \(\int _0^{2\pi}\) 5 dθ = 10π

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In order to determine the integer that makes true the given expression:

______ x 7 = -14

consider that such integer must be equal to the quotient between -14 and 7:

-14/7 = -2

In fact, you have:

-2 x 7 = -14

Hence, the integer is -2

Step-by-step explanation:

hope this helps!!!!!!!!!!!

Answer:

(5 , 1)

Step-by-step explanation:

coordinate point is (2 , 9)

translation rule is

(x , y) = (x + 3 , y - 8)

here x is 2 and y is 9

so  the new coordinate will be

(x + 3 , y - 8)

(2 + 3 , 9 - 8)

(5 , 1)

2 hours will pass before they meet.

"Information available from the question"

In the question:

Aaron starts riding a bike at a rate of 3 mi/h on a road toward a store 20 mi away.

Zhang leaves the store when Aaron starts riding his bike, and he rides his bike toward Aaron along the same road at 2 mi/h.

Now, According to the question:

Total distance = 20mi

Aaron starts riding a bike at a rate of  = 3mi/h

Zhang rides his bike toward Aaron along the same road at  = 2mi/h

Let y be the number of hours for them to meet.

The expression is given as

3y + 2y = 20

solving for y, we have

5y = 20

y = 20/5

y = 4hrs

Therefore, 2 hours will pass before they meet.

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Answer:

2h + 10

Step-by-step explanation:

The question gives one the height of Tree A (8h - 1) and the height of Tree B (6h - 11). The problem asks one to find how much taller Tree A is than Tree B. This problem can be modeled using a simple subtraction problem, the height of Tree A, minus the height of Tree B. Remember to distribute the subtraction sign outside of the parenthesis, and only combine like terms;

(Tree A) - (Tree B)

= (8h - 1) - (6h - 11)

= 8h - 1 - 6h + 11

= 2h + 10

Since there was no numerical value given for the variable (h), nor any value which this expression is equal, the final answer is (2h + 10).

Answer:

y=80-8x

Step-by-step explanation:

Bc the 80 is what it started at and the x represents the hour

(In y=mx+b form)

Answer:

166 pounds

Step-by-step explanation:

Answer:

--------------

Use the sum of the first n terms formula:

We are given:

First, let's find n using the nth term formula:

Now, we can find the sum using the formula:

The sum of the geometric series is 186.

Answer: Second Choice. √65

Step-by-step explanation:

Given information

a = 4

b = side (unknown)

c = 9

Given expression

b² = c² - a²

Substitute values into the expression

b² = (9)² - (4)²

SImplify by exponents

b² = 81 - 16

b² = 65

Square root both sides

√(b²) = √65

b = √65

Hope this helps!! :)

Please let me know if you have any questions

Answer:

√65

Step-by-step explanation:

    Since this is a right triangle, we can use Pythagorean Theorem to solve for the missing side.

Pythagorean Theorem: \(a^2+b^2=c^2\)

    In this instance, we are given a leg and the hypotenuse. Substitute the values into the theorem and solve for the missing side.

\(4^2+b^2=9^2\\\\16=b^2=81\\\\b^2=65\\\\b=\sqrt{65}\)

Therefore, the value for the missing side is √65.

Based on the information provided, the company can demonstrate that Cp exceeds 1.33 at the 95% level of confidence. To determine the level of confidence that would give a one-sided lower confidence limit on Cp exceeding 1.33, further information is required.

a. To demonstrate that Cp exceeds 1.33 at the 95% level of confidence, the company needs to construct a confidence interval for Cp and check if the lower bound of the interval is greater than 1.33. Since the sample size is 50, the point estimate of Cp can be calculated using the sample data. By using statistical techniques and formulas for process capability analysis, the company can calculate the confidence interval for Cp. If the lower bound of the interval is greater than 1.33, the company can demonstrate that Cp exceeds 1.33 at the 95% confidence level.

b. To determine the level of confidence that would give a one-sided lower confidence limit on Cp exceeding 1.33, the specific data on the point estimate and standard deviation of Cp is needed. With that information, statistical calculations can be performed to find the level of confidence at which the lower confidence limit on Cp exceeds 1.33. The level of confidence would depend on the specific values of the point estimate and standard deviation.

Without the specific data and calculations, it is not possible to provide a precise level of confidence for the one-sided lower confidence limit on Cp exceeding 1.33. The calculations would need to be performed based on the available data to determine the appropriate level of confidence.

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Answer:      10D is your answer hope I helped

Step-by-step explanation:

Answer:

3 + 2b

Step-by-step explanation:

To simplify, you have to combine (add) like terms. The like terms are 5 and -2 because they both do not have a variable.

5 + (-2) = 3

2b stays the same because there are no like terms for it.

3 + 2b

Hope this helped :)

With exponential functions of the form y equals short dash a times b to the power of x, as x goes to positive infinity, the y-values tend towards  negative infinity.

The correct option C.

The number's value. The global object's Infinity property has a negative value, which is the same as NEGATIVE INFINITY. It acts a little differently from mathematical infinity in the following ways: NEGATIVE INFINITY is the result of multiplying any positive value by NEGATIVE INFINITY, including POSITIVE INFINITY.

F(x)=exp or e(x) is a mathematical symbol for the exponential function. Unless otherwise stated, the term normally refers to the positive-valued function of a real variable, though it can be extended to the complex numbers or adapted to other mathematical objects like matrices or Lie algebras.

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I understand that the question you are looking for is:

With exponential functions of the form  y = -a.b^-x , as x goes to negative infinity, the y-values tend towards .

a.) positive infinity

b.) zero

c.) negative infinity

d.) one

Answer:8

Step-by-step explanation:

it is the only one without a variable.

Answer:

\(\boxed {\tt 8}\)

Step-by-step explanation:

A constant is a term without a variable.

Let's analyze each term of the expression: 13x³+x²-4x+8

13x³: this has a variable of x³

x²: this has a variable of x²

-4x: this has a variable of x

8: this has no variable

Since 8 is the term without a variable, 8 is the constant.

Answer:

The radius of the base of the cylinder is half of its diameter, so the radius is:

r = 18 cm / 2 = 9 cm

The height of the cylinder is 2.5 times the radius:

h = 2.5r = 2.5(9 cm) = 22.5 cm

The volume of a cylinder is given by the formula:

V = πr^2h

Substituting the values we have found, we get:

V = π(9 cm)^2(22.5 cm)

V = π(81 cm^2)(22.5 cm)

V = 1822.5π cm^3

So the volume of the cylinder is approximately 5713.77 cubic centimeters, or 5713.77 cm^3.

Step-by-step explanation:

Answer:

625=63 to the nearest whole number

Step-by-step explanation:

= 4/100×25%

= 625

= 63 to the nearest whole number

Answer:

16

Explanation:

Reasoning:

You know that 4 students = 25% of the class,

and that ? students = 100% of the class,

So you would want to plan it out like this:

4 ----- 25%

? ----- 100%

This is how you would solve it:

            4 x 100

               25

Multiply 100 x 4 = 400

Divide  400/ 25 = 16

Hope this helped ya!

Answer:

Complementary Angles: The angle with 32˚ and 48˚

Supplementary Angles: The angle that is together with the angles of 107˚ and 73˚

Neither: The angle with 101˚ and 77˚ since

Step-by-step explanation:

Complementary angles are angles that sum up to 90˚ so 32 plus 48 is 90 which makes it a complementary angle.

Supplementary angles are angles that sum up to 180˚ so 107+73 is 180 which makes it a supplementary angle.

To find the angle with "neither" Complementary nor Supplementary you use the process of elimination

Hope this helps!

Answer:

Complementary Angles: The angle with 32˚ and 48˚

Supplementary Angles: The angle that is together with the angles of 107˚ and 73˚

Neither: The angle with 101˚ and 77˚ since

Step-by-step explanation:

Complementary angles are angles that sum up to 90˚ so 32 plus 48 is 90 which makes it a complementary angle.

Supplementary angles are angles that sum up to 180˚ so 107+73 is 180 which makes it a supplementary angle.

To find the angle with "neither" Complementary nor Supplementary you use the process of elimination

Hope this helps! please give brainliest.

Answer:

The answer is 425

Step-by-step explanation:

Place value would be...

400

20

5

or 400+20+5

Sorry I couldn't help too well!

Hope this helps!! Brainliest is appreciated!! Happy Holidays!!!