A can of vegetables has radius 2.4 in. and height 5.6 in.
Find the volume of the can. Use 3.14 for it.
5.6 in.

Answer:

The total cost of the hotel rooms was $401.25.

Step-by-step explanation:

Rooms = $375 + 7% tax

Convert 7% to a decimal:

7% = 0.07

Multiply the cost by the tax:

$375 × 0.07

$26.25

Add the tax to the cost:

$375 + $26.25

$401.25

Answer:

16c - 7 = 13.32

Step-by-step explanation:

The cost of 16 cookies minus the coupon equal how much he paid

16c - 7 = 13.32

Answer:

16c - 7 = 13.32

Step-by-step explanation:

Answer:

relationships between side lengths and angles of triangles

Step-by-step explanation:

Answer:

Study of the angles and triangles

Step-by-step explanation:

Answer:

1/10, 0.1, 10%

3/4, 0.75, 75% of 1

1/5, 0.2, 20%

Step-by-step explanation:

i hope this helped : )

Answer:

Below

Step-by-step explanation:

Z score is the ± standard deviations from the mean

Answer:

Negative correlation.

Step-by-step explanation:

Negative correlation means that as x increases, y decreases

Positive correlation means that as x increases, y also increases.

No correlation means that neither of the two above cases happens.

In the graph, we can see that on the right (when x is negative) the general y values are larger.

As x increases, the y-values decrease.

(Particularly, we could adjust these data with a linear equation with a negative slope)

Then this is a negative correlation.

Answer: 204ft or 68yd

Step-by-step explanation:

Answer:

\(y=4sin(\frac{10\pi}{7}x)+5\)

Step-by-step explanation:

Recall formula

\(y=asin(bx+c)+d\\\\y=4sin(bx)+5\)

Determine b from period

\(\frac{2\pi}{b}=\frac{7}{5}\\ \\ 10\pi=7b\\\\b=\frac{10\pi}{7}\)

Final Equation

\(y=4sin(\frac{10\pi}{7}x)+5\)

Answer:

d-5=2s

Step-by-step explanation:

Diego's age d is 5 more than 2 times his sister's age s.

The equation used to represent it is :

d = 2s +5

We need to find the equivalent equation for the above equation.

If we take 5 to LHS of the equation, it will become -5 such that,

d-5=2s

Hence, option (b) is the equivalent equation.

Answer:

answer b is the correct answer

Step-by-step explanation:

The four criteria that can be used to prove triangles are congruent and can be used to prove the triangles are congruent.

Triangle congruence: Two triangles are said to be congruent if all three of their corresponding sides and all three of their corresponding angles have the same measurements. These triangles can be moved around, rotated, flipped, and turned to have a same appearance. They match up with one another when moved.

The four criteria that can be used to prove triangles are congruent are SAS (Side-Angle-Side), ASA (Angle-Side-Angle), AAS (Angle-Angle-Side), and SSS (Side-Side-Side). Additionally, CPCTC (Corresponding Parts of Congruent Triangles are Congruent) can be used to prove the triangles are congruent.

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A study is designed to examine effect of exercise on knee pain, with measurements taken at 1, 3 and 6 weeks. The appropriate design would be C. two-way analysis of variance with one repeated measure.

A two-way mixed-design ANOVA with one repeated measure would be the best choice. This is so because exercise and time are the two variables being investigated. Exercise becomes a between-subjects factor when individuals are randomly assigned to circumstances that involve exercise or no exercise. The repetitive measure is due to the fact that each participant's measurements are collected after 1, 3, and 6 weeks, respectively.

The two-way ANOVA examines the primary impacts of time and exercise as well as their interactions. When there are both within-subjects and between-subjects variables, the mixed-design ANOVA is used. Because it combines autonomous and repetitive measures, it is known as a "mixed" measure. In this situation, leisure is the within-subjects component and exercise is the between-subjects factor.

Complete Question:

A study is designed to examine the effect of exercise (against no exercise) on knee pain, with measurements taken at 1 week, 3 weeks, and 6 weeks. Participants are randomly assigned to one of the exercise conditions. The appropriate design would be?

A. one-way repeated measures analysis of variance.

B. two-way analysis of variance.

C. two-way analysis of variance with one repeated measure.

D. one-way analysis of variance.

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Answer:

The answer would be 13 3/4

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Estimation:

3 1/3 --> 3

4 1/8 --> 4

3 x 4 ~ 12

Hope that helps!

Answer:

total number of parts of a 2:5 ratio are 7 as 2+5 = 7

let us assume are number to be 49

the first part will be 49/7 × 2 = 14

the second part will be 49/7 × 5 = 35

The procedure for finding the area between two curves Find the intersection points, set up the integral using the difference between the curves, integrate, take the absolute value, and evaluate the result and the area between the two curve in excercise 1 is 40/3

The procedure for finding the area between two curves involves the following steps:

Identify the two curves: Determine the equations of the two curves that enclose the desired area.

Find the points of intersection: Set the two equations equal to each other and solve for the x-values where the curves intersect. These points will define the boundaries of the region.

Determine the limits of integration: Identify the x-values of the intersection points found in step 2. These values will be used as the limits of integration when setting up the definite integral.

Set up the integral: Depending on whether the curves intersect vertically or horizontally, choose the appropriate integration method (vertical slices or horizontal slices). The integral will involve the difference between the equations of the curves.

Integrate and evaluate: Evaluate the integral by integrating the difference between the two equations with respect to the appropriate variable (x or y), using the limits of integration determined in step 3.

Calculate the absolute value: Take the absolute value of the result obtained from the integration to ensure a positive area.

Round or approximate if necessary: Round the final result to the desired level of precision or use numerical methods if an exact solution is not required.

In summary, to find the area between two curves, determine the intersection points, set up the integral using the difference between the curves, integrate, take the absolute value, and evaluate the result.

Here's the procedure explained using the exercises:

Exercise 1:

Consider the functions F(x) = \(x^2 + 2x + 1\)and f(x) = 2x + 5. To find the area between these curves, follow these steps:

Set the two functions equal to each other and solve for x to find the points of intersection:

\(x^2 + 2x + 1 = 2x + 5\)

\(x^2 - 4 = 0\)

(x - 2)(x + 2) = 0

x = -2 and x = 2

The points of intersection, x = -2 and x = 2, give us the bounds for integration.

Now, determine which curve is above the other between these bounds. In this case, f(x) = 2x + 5 is above F(x) =\(x^2 + 2x + 1.\)

Set up the integral to find the area:

Area = ∫[a, b] (f(x) - F(x)) dx

Area = ∫\([-2, 2] ((2x + 5) - (x^2 + 2x + 1)) dx\)

Integrate the expression:

Area = ∫\([-2, 2] (-x^2 + x + 4) dx\)

Evaluate the definite integral to find the area:

Area = \([-x^3/3 + x^2/2 + 4x] [-2, 2]\)

Area = [(8/3 + 4) - (-8/3 + 4)]

Area = (20/3) + (20/3)

Area = 40/3

Therefore, the area between the curves F(x) = \(x^2 + 2x + 1\)and f(x) = 2x + 5 is 40/3 square units.

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Answer:193.395

Step-by-step explanation:

The 4-day vacation meant that there was $128.93 spent over the 4 days

The 6-day vacation is 1.5 more days than the 4-day vacation so the price spent over the 4 days will be 4 times by 1.5 to get $193.395

Answer:

a

Step-by-step explanation:

Answer:

°F = 356

Step-by-step explanation:

°C = (°F - 32) ÷ 1.8

180 = (°F - 32) ÷ 1.8

180×1.8 = °F - 32

324 = °F - 32

°F = 324 + 32

°F = 356

Answer:

81

Step-by-step explanation:

81

Answer:

6+3=9x9=81 final answer 81.

Step-by-step explanation:

Answer:

-7

Step-by-step explanation:

(x-5)/2=-6

x-5=-12

x=-7

Answer:

x = -7

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

(x - 5)/2 = -6

Step 2: Solve for x

Answer:

the answer is (-4,1)

Step-by-step explanation:

180 degrees is essencially flipping the numbers around and their signs

Hope this helps!

Answer:

O 6x5/5x

Step-by-step explanation:

Answer:

It should be D. I'm not 100% sure though. But D is what I chose.

The correct answer is option (B)  \(\frac{5}{8}x - 6\frac{1}{2}\)  when  \(\frac{5}{8}x +1\frac{1}{3}\) is subtracted from \(1\frac{1}{4} x -5\frac{1}{6}\) . Both values are in mixed fraction.

Define mixed fraction ?

A mixed fraction is a mathematical expression that represents a whole number and a fraction together. It is also called a mixed number. In a mixed fraction, the whole number is written first, followed by a space and then the fraction. The fraction represents a part of the whole number, with the numerator (top number) indicating the number of parts and the denominator (bottom number) indicating the total number of parts.

To subtract \(\frac{5}{8}x +1\frac{1}{3}\) from \(1\frac{1}{4} x -5\frac{1}{6}\) , we can simplify both terms to have a common denominator. The common denominator is 24. Then we have

\(1\frac{1}{4}x - 5\frac{1}{6} - \left(\frac{5}{8}x + 1\frac{1}{3}\right)\)

\(= \frac{5}{4}\cdot\frac{6}{6}x - \frac{31}{6}\cdot\frac{4}{4} - \frac{15}{24}x - \frac{32}{24}\)

\(= \frac{30}{24}x - \frac{124}{24} - \frac{15}{24}x - \frac{32}{24}\)

\(= \frac{15}{24}x - \frac{156}{24}\)

\(= \frac{5}{8}x - \frac{13}{2}\)

\(= \frac{5}{8}x - 6\frac{1}{2}\)

Therefore, the correct answer is option B  \(\frac{5}{8}x - 6\frac{1}{2}\) .

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Answer:

3/4

Step-by-step explanation:

Given two points , we find the slope using the formula

m = (y2-y1)/(x2-x1)

   = ( 5 - -1)/ ( 6 - -2)

   = (5+1)/( 6+2)

   = 6/8

   = 3/4

________________________________

Hey!!

Solution,

P(-2,-1)-------- (X1,y1)

Q(6,5)-----------(x2,y2)

Slope=y2-y1/x2-x1

= 5-(-1)/6-(-2)

= 5+1/6+2

=6/8

= 3/4

The slope is 3/4

Hope it helps

Good luck on your assignment

________________________________

Therefore, the answer is option C: theta = pi/2 and theta = 3pi/2.

To determine when tan(theta) is undefined on the unit circle, we need to remember the definition of the tangent function.
Tangent is defined as the ratio of the sine and cosine of an angle. Specifically, tan(theta) = sin(theta)/cos(theta).

Now, we know that cosine can never be equal to zero on the unit circle, since it represents the x-coordinate of a point on the circle and the circle never crosses the x-axis. Therefore, the only way for tan(theta) to be undefined is if the cosine of theta is equal to zero.
There are two values of theta on the unit circle where cosine is equal to zero: pi/2 and 3pi/2.

At theta = pi/2, we have cos(pi/2) = 0, which means that tan(pi/2) = sin(pi/2)/cos(pi/2) is undefined.
Similarly, at theta = 3pi/2, we have cos(3pi/2) = 0, which means that tan(3pi/2) = sin(3pi/2)/cos(3pi/2) is also undefined.
Therefore, the answer is option C: theta = pi/2 and theta = 3pi/2.

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The equation of the normal to the curve is

( Y - \(e^{-3}\) - 1/\(e^{-3}\) ) / ( X - \(e^{-3}\) ) = 1/3

An equation contains one or more than two terms connected by an equal sign.

Example:

2x + 4y = 88 is an equation.

We have,

Equation of the curve:

y(x) = x + 1/x ______(1)

And,

y = -3x is parallel to the tangent.

This means,

y = -3x is in the form of y = mx + c

So,

Slope = m = dy/dx

m = -3 ______(2)

Now,

y = x + 1/x

dy/dx = 1 + logx

-3 = 1 + logx

-3 - 1 = logx

-3 = logx

\(e^{-3}\) = \(e^{logx}\)

x = \(e^{-3}\) ______(3)

Now,

The equation of the normal.

( Y - y(x) ) / (X - x) = -1/(dy/dx)

So,

From (1), (2), and (3)

( Y - y(\(e^{-3}\)) ) / (X - \(e^{-3}\)) = -1/-3

( Y - (\(e^{-3}\) + 1/\(e^{-3}\)) / ( X - \(e^{-3}\) ) = 1/3

( Y - \(e^{-3}\) - 1/\(e^{-3}\) ) / ( X - \(e^{-3}\) ) = 1/3

Thus,

The equation of the normal to the curve is

( Y - \(e^{-3}\) - 1/\(e^{-3}\) ) / ( X - \(e^{-3}\) ) = 1/3

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Explanation

a linear function must have

dependent and independent variables, ( y and x in this case)and the exponent of the independent vairable must be 1, so

Step 1

Check

a)

this is a linear function

b)

this is not a functin, this expression has not x

c)

this functin has x and y, and the exponent of x is 1, so, this is a linear function

d)

this function has x and y, but the exponent is 2, so this is not a linear function

e)

this function has x and y, but the exponent is 2, so this is not a linear function

i hope this helps you

The total present value of these payments at the time the first payment is made is 1,735.85 (747.26 + 988.59).

To calculate the present value of these payments, we need to use the formula for the present value of an annuity:

\(PV = (P/i) x [1 - (1+i)^-n]\)

Where:
P = payment amount
i = annual effective rate
n = number of payments

Using this formula, we can calculate the present value of the first 10 payments:

\(PV = (100/0.07) x [1 - (1+0.07)^-10] = 747.26\)

To calculate the present value of the remaining 10 payments, we need to first calculate the payment amounts. To do

this, we can use the following formula:

\(Pn = P1 x (1 + g)^n\)

Where:
Pn = payment in year n
P1 = first payment amount
g = growth rate
n = number of years since first payment

For the 11th payment:

\(P11 = 105 x (1 + 0.05)^1 = 110.25\)

For the 12th payment:

\(P12 = 110.25 x (1 + 0.05)^1 = 115.76\)

And so on, until the 20th payment:

\(P20 = 163.32 x (1 - 0.05)^8 = 79.24\)

Now we can calculate the present value of these payments:

PV = \((110.25/0.07) x [1 - (1+0.07)^-10] + (115.76/0.07) x [1 - (1+0.07)^-9] + ... + (79.24/0.07) x [1 - (1+0.07)^-1]\)

PV = 988.59

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Answer:

Step-by-step explanation:

Answer:

i can help you i know this question