5. Evaluate each expression if x is 1, y is 2, and z is 3.a. 7x² – zb. (x+4)³ - yc. y(x+3³)d. (7 - y + z)²e. 0.241x + x³

Answer:

D

Step-by-step explanation:

I think it's same with what ur thinking

1. It is false that when non-Standard unit used is small few unit's are

needed .

2. Objects with different shapes can have the same volume. True

3. Length, width and height and multiplied to find volume of a rectangular prism. True

4. It is false that volume is measured in square unit.

5. It is true that Volume is a measure of the amount of space inside an object.

6. The formula for volume of a rectangular prism is V = l × w × h. True

7. It is true that Standard units give a consistent and accurate measure of a container.

8. It is false that Non-Standard units cannot be used to measure volume.

9. Volume is measured in cubic units. True

Volume can be defined as the amount of space inside and object. the object can be in different form such as cone, rectangular prism, cylinder and many other shapes. Even though shapes are different, It is possible for different shapes or objects to have the same volume when measure.

Measurement of volume can be through standard measurement and non standard measurements such as a cup of rice. However, for consistency and the sake of accuracy, it is advisable to always use standard measurements of volume where possible to avoid error that may occur in non standard measurement. The acceptable and recognized unit of volume is cubic meter (\(m^3\)).

Learn more on Volume on https://brainly.com/question/27710307

#SPJ1

Answer:

18) 7/10 20) 58/100 or 29/50 22) 2/3 24) 8/10 or 4/5 26) 3/10

Step-by-step explanation:

Answer:

18. 7/10 20. 29/50 24. 4/5 26. 3/10

Step-by-step explanation:

Umm im sorry i cant find number 22

Answer:

(B)5

Step-by-step explanation:

7/11plus 5 on the numerator and denominator will give u 12/16 when it simplified ...it will give u 3/4.

Answer:

-4

Solution:

72 = 2 + 5(-2 - 4x)

Distribute right side

72 = 2 - 10 - 20x

Combine like terms

72 = -8 - 20x

Add 8 to both sides

80 = -20x

Divide -20 to both sides

-4 = x

Best of Luck!

Answer:

  The discriminant is 0.

Step-by-step explanation:

The discriminant is zero if there is only one real solution to the quadratic equation.

__

A positive discriminant indicates 2 distinct real solutions; a negative discriminant indicates 2 distinct complex solutions.

Answer:

The Answer is C

Step-by-step explanation:

2 pounds 6 ounces in ounces is equivalent to 38 ounces.

The given measurement is -

2 pounds 6 ounces

In 1 pound, there are 16 ounces.

So, we can write that -

2 pounds 6 ounces = 2 x 16 + 6

2 pounds 6 ounces = 38 ounces

So, 2 pounds 6 ounces in ounces is equivalent to 38 ounces.

To solve more questions on unit conversion, visit the link-

brainly.com/question/11805053

#SPJ1

Answer:

  27/8

Step-by-step explanation:

You seem to want to evaluate ...

  \(\dfrac{3a^{-3}b^2}{2a^{-1}b^0}\)

I like to simplify the expression first, even though the order of operations would have you evaluate it as is.

  \(=\dfrac{3}{2}a^{-3-(-1)}b^{2-0}=\dfrac{3b^2}{2a^2}\)

Substitute the given values for "a" and "b" and do the arithmetic.

  \(=\dfrac{3(-3)^2}{2(-2)^2}=\dfrac{3\cdot 9}{2\cdot 4}=\boxed{\dfrac{27}{8}}\)

Answer:

$55/per hour

Step-by-step explanation:

Let's call the cost of labor per hour "x".

We know that the cost of parts is $70 and the cost of labor is x * 2.25 (since the technician worked for 2.25 hours).

We also know that the total cost is $193.75. So we can set up the equation:

x * 2.25 + $70 = $193.75

To solve for x, we'll first get the x terms on one side of the equation by subtracting $70 from both sides:

x * 2.25 = $193.75 - $70

x * 2.25 = $123.75

Finally, we'll divide both sides by 2.25 to solve for x:

x = $123.75 / 2.25

x = $55/hour

Answer:

simple interest=$97.50.

compound interest= $100.668

Step-by-step explanation:

Given:

Principal (P) = $750

Rate (R) = 6.5% (in decimal form, 0.065)

Time (T) = 2 years

Simple Interest = Principal*Rate*Time

Using the formula, the simple interest is calculated as follows:

Simple Interest = $750*0.065*2 = $97.50

Therefore, the simple interest for $750 with a 6.5% interest rate over 2 years is $97.50.

Again:

Compound Interest = Principal*(1 + Rate)^(Time)-Principal

Using the same values as above, the compound interest can be calculated as follows:

Compound Interest = $750*(1+0.065)^(2)-$750

= $750*1.065^2 -$750

= $750 × 1.134225 - $750

= $850.66875-$750

= $100.668

Therefore, the compound interest for $750 with a 6.5% interest rate over 2 years is $100.668

Answer:

20 grams

Step-by-step explanation:

3+2=5 grams for 1 week

5x4=20

Answer:

11$ per 2 hours

Step-by-step explanation:

The rotation of the segment AB is a rigid transformation, the lengths of the preimage and the image remain the same

The segment that is the image of AB when rotated 90° counterclockwise

around point P is the segment FG

To find the image of the segment AB when rotated 90° counterclockwise

The given coordinates of the vertex of the end point of segment AB,

relative to the point P, are;

A(0, 2), B(3, 2)

The coordinates of the image of the point (x, y), following a rotation of 90°

counterclockwise about the origin is  (-y, x)

Taking the point P, as the origin, we have;

A(0, 2) → Rot 90°(counterclockwise) → A'(-2, 0)

B(3, 2) → Rot 90°(counterclockwise) → B'(-2, 3)

Which gives;

The coordinates of the image of the segment AB following a rotation of 90°

counterclockwise is the segment A'B' with coordinate A'(-2, 0), and B'(-2, 3),

which is equivalent to the segment FG with coordinates F(-2, 0), and G(-2, 3)

Therefore;

The segment hat is the image of AB when rotated 90° counterclockwise around point P is the segment FG

Learn more about rotation of a segment here:

brainly.com/question/17809268

#SPJ1

Answer:

Step-by-step explanation:

8x^2 + xy - 8xy - y^2

8x^2 - 7xy - y^2

Answer:

−25/96

Step-by-step explanation:

Floyd needs 33 matches to make a rectangle with a length of 20 matches.

To find out how many matches Floyd needs to make a rectangle with a length of 20 matches, we can observe a pattern in the given information.

From the given data, we can see that as the length of the rectangle increases by 4 matches, the number of matches used increases by 8. This means that for every additional 4 matches in length, Floyd requires 8 more matches.

Using this pattern, we can calculate the number of matches needed for a rectangle with a length of 20 matches.

First, we need to determine the number of 4-match increments in the length of 20 matches. We can do this by subtracting the starting length of 3 matches from the target length of 20 matches, which gives us 20 - 3 = 17.

Next, we divide the number of 4-match increments by 4 to determine how many times Floyd needs to add 4 matches. In this case, 17 ÷ 4 = 4 with a remainder of 1.

Since Floyd requires 8 matches for each 4-match increment, we multiply the number of increments by 8, which gives us 4 × 8 = 32 matches.

Finally, we add the remaining matches (1 match in this case) to the total, resulting in 32 + 1 = 33 matches needed to reach a length of 20 matches.

For more such questions on rectangle, click on:

https://brainly.com/question/2607596

#SPJ8

B is not true, because in the graph when x=0 y=30, and when x=3 y is not equal to 28 (that would be true if she finishes 2 homework points every 3 minutes). the final answer will be B

$182 they need to earn each month in order to accomplish their goal

A division is a process of splitting a specific amount into equal parts.

Given,

Mrs. Bell's class is working together to earn enough money for a field trip.

The total cost for the class to go to the observatory is $910

The students want to have the money for their field trip in 5 months

We need to find how much they has to earn in each month in order to accomplish their goal.

We need to split 910 by 5

910/5

182

Hence $182 they need to earn each month in order to accomplish their goal

To learn more on Division click:

https://brainly.com/question/21416852

#SPJ1

Students need to earn $182 per month to accomplish the goal.

Ratio basically compares quantities, that means it shows the value of one quantity with respect to the other quantity.

If a and b are two values, their ratio will be a:b,

Given that,

Total cost for the class to go to the observatory = $910.

Since, students want to have money for field trip in 5 months,

To find earning of each month to accomplish the goal, use ratio property,

5 months = $910

⇒1  month = $910/5

⇒1 month = $182

So,  $182 needs to earn each month in order to accomplish the goal.

To learn more about Ratio on :

https://brainly.com/question/13419413

#SPJ1

The inequality that represents the value of x is (b)  x > 80

from the question, we have the following parameters that can be used in our computation:

The figure

The general rule is that

The larger the side length, the larger the angle opposite it

using the above as a guide, we have the following:

1/8x > 10

So, we have

x > 80

Hence, the inequality is x > 80

Read more about inequality at

https://brainly.com/question/32124899

#SPJ1

Answer:

7x

Step-by-step explanation:

4*x+3=7x

Answer: $89.91

Step-by-step explanation:

$99.90-10% of it would be $99.90-$9.99= $89.91.

Answer:

The probability that the sample proportion will differ from the population proportion by less than 6% is 0.992.

Step-by-step explanation:

According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

The mean of this sampling distribution of sample proportion is:

\(\mu_{\hat p}=p\\\\\)

The standard deviation of this sampling distribution of sample proportion is:

\(\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}\)

The information provided is:

\(p=0.22\\n=276\)

As the sample size is large, i.e. n = 276 > 30, the Central limit theorem can be used to approximate the sampling distribution of sample proportion.

Compute the value of \(P(\hat p-p<0.06)\) as follows:

\(P(\hat p-p<0.06)=P(\frac{\hat p-p}{\sigma_{\hat p}}<\frac{0.06}{\sqrt{\frac{0.22(1-0.22)}{276}}})\\\\=P(Z<2.41)\\\\=0.99202\\\\\approx 0.992\)

Thus, the probability that the sample proportion will differ from the population proportion by less than 6% is 0.992.

Answer:

y=1/2x+5

Step-by-step explanation:

Put 5 on the y axis and count rise over run for a few points. Go one block up, two over, point, and repeat. This should be fine for graphing.

Answer:

The answer is shown in the picture!

From the graph given we have a horizontal line.

Here, we have a constant y value.

The equation of a horizontal line is; y = b

Thus, we have y = -1

Where,

The slope of a horizontal line is always zero, since it has just one y-value which means the change in y is zero.

Take the points:

(x1, y1) ==> (2, -1)

(x2, y2) ==> (4, -1)

Thus,

Therefore, the slope of the given line is zero.

ANSWER:

Slope = 0

The Smith family's and Stewart family's sprinkler was used 40 and 25 hours.

According to the statement

we have given that the Smith family's sprinkler was 25L per hour and

Stewart family's sprinkler was 30L per hour and The families used their sprinklers for a combined total of 65 hours, resulting in a total water output of 1750L.

And we have to find the How long was each sprinkler used.

So, For this purpose,

The given statements in the equation form become:

Let Smith family's sprinkler be x

Let Stewart family's sprinkler be y then

The equation become

x + y = 65 -(1)

25x + 30y = 1750 -(2)

Here we use the elimination method.

So, Multiply (1) by 25 and (2) by 1 then

25x + 25y = 1625

25x + 30y = 1750

Now eliminate x from the equations then

-5y = -125

y = 25

then x value becomes

x + y = 65

x + 25 = 65

x = 40.

So, The Smith family's and Stewart family's sprinkler was used 40 and 25 hours.

Learn more about elimination method here

https://brainly.com/question/12691830

#SPJ1

Answer:

here is a line plot of the data provided:

     |  

4.0   |                  X

     |

3.5   |

     |

3.0   |          X

     |

2.5   |

     |

2.0   |   X       X     X   X

     |_________________________

          1/3   1 1/3   2 1/3   3

Title: Homework Time on Monday Night

The plot shows the time in hours spent on homework by the students, with each "X" representing one data point. The horizontal axis represents the possible values of the data, and the vertical axis shows the frequency of occurrence of each value.

The values are labeled correctly on the horizontal axis, with each tick mark representing one possible value. The vertical axis is not labeled with specific values, but it is clear that the scale is in increments of

Answer: The required sample size = 97

Step-by-step explanation:

If prior population standard deviation is known, then the minimum sample size can be computed as:

\(n=(\frac{z^*\times\sigma}{E})^2\)

,where z* = critical z-value

\(\sigma\) = population standard deviation

E = Margin of error

As per given,

\(\sigma=20,\ E= 4\)

Critical value for 95% confidence = 1.96

\(n=(\frac{1.96\times20}{4})^2\\= (1.96\times 5)^2\\= (9.8)^2\\=96.04\approx97\)

Hence, the required sample size = 97