Television sizes are labeled by the measure of the diagonal. What size is the TV below?

Answer:

B

Step-by-step explanation:

Trust

After 6 years, the investment is whort $4,051.97

We know that this can modeled by an exponential equation of the form:

y = A*(1 + r)^x

Where A is the initial amount and r is the rate at which the investement grows (in decimal form)

Then we can write the equation as:

y = 2700*(1 + 0.07)^x

Where x is the number of years.

Then after 6 years, the investment is whort:

y = 2700*(1 + 0.07)^6 = 4,051.97

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Answer:

0.27563735723563.

Step-by-step explanation:

74 is an acute angle since it is less than 90° cos (74) = 0.27563735723563. Write cos (74) in terms of sin Since 74° is less than 90, we can express this in terms of a cofunction.

Answer:

Step-by-step explanation:

Probability is defines as the likelihood or chance that an event will occur.

Probability = expected outcome of event/total outcome.

Since a single die with 9 sides was rolled, the total event outcome will be 9*9 = 81

Expected outcome will be the event that the sum of the two rolls equals 3. The possible outcomes are {(1,2), (2,1)}. The expected outcome is 2

Probability that the sum of the two rolls equals 3 = 2/81

The probability that the sum of the two rolls equals 3 is \(\dfrac{2}{81}\).

Important information:

We need to find the probability that the sum of the two rolls equals 3.

If a die with 9 sides is rolled twice, then the number of total possible outcomes is:

\(9\times 9=81\)

The sum of the two rolls equals 3, if we get 1, 2 and 2, 1. It means the number of favorable outcomes is 2.

\(P=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}\)

\(P=\dfrac{2}{81}\)

Therefore, the probability that the sum of the two rolls equals 3 is \(\dfrac{2}{81}\).

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Using the normal distribution, it is found that the z-scores are:

a) z = -1.5

b) z = 1.9

c) z = 0

In normal distribution with mean 'μ' and the standard deviation 'σ', the z-score of a measure X is given by:

z = x-μ/σ

It measures how many standard deviations the measure is from the mean, either above the mean(positive z-score), or below(negative z-score).

For first blank: 1.5 standard deviations below the mean, hence z = -1.5.

For second blank: 1.9 standard deviations below the mean, hence z = 1.9.

For third blank: The mean is 0 standard deviations from itself, hence z = 0.

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Answer:

105 degrees

Step-by-step explanation:

You need to understand the properties of corresponding angles and supplementary angles.

Answer:

$24.24 is his total cost

Step-by-step explanation:

    15.35

  +  5.89

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

24.24

The volume of the slice is 129 in^3 and that of the remaining cake is 374. 4 in^3

Using the formula:

Volume = 3abh

Where a = apothem length

b = length of the side of the base

h =height of the prism

Substitute values from the diagram into the formula

Volume = 3 × 5 × 4.3 × 2

Volume = 129 in^3

Volume of the remaining cake

Volume = 3abh

Volume = 3× 5.2 × 4 × 6

Volume = 374. 4 in^3

Thus, the volume of the slice is 129 in^3 and that of the remaining cake is 374. 4 in^3

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Answer:

I believe that it should be Y; Height of an emperor penguin on Antarctica

Answer:

Z = "results of flipping two coins"

Step-by-step explanation:

A discrete variable is one which can take only certain values and usually represents values that are counted. The result of flipping two coins can only take a certain number of values of heads or tails (1 head and 1 tail, two heads, or two tails); therefore it is a discrete variable.

A continuous variable is one which can take any value, and usually represents values that are measured. The rest of the options provided (W, X, and Y) are all measurements, and are therefore continuous, not discrete.

Also, among the options presented, option Z is the only one which is "random".

\(\\ \bull\tt\longmapsto \left(-1\dfrac{2}{3}\right)^2\)

\(\\ \bull\tt\longmapsto \left(\dfrac{-1}{3}\right)^2\)

\(\\ \bull\tt\longmapsto \dfrac{(-1)^2}{3^2}\)

\(\\ \bull\tt\longmapsto \dfrac{1}{9}\)

The total number of hours that Carly studied for 9 days is; 7¹/₂ hours

She wants to study 5/6 of an hour per day for 9 days.

Thus;

Number of hours studied per day = 5/6 * 1 hour = 5/6 hours

Therefore for 9 days, the total number of hours she will study is;

5/6 * 9

= 45/6

= 15/2

= 7¹/₂ hours

That value denotes the total number of hours that she studied for 9 days

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Complete question is;

Carly needed to study for 5/6 of an hour for 9 days. How many hours did she study?

The following answers are given as:

2.1)

2 teaspoons of vinegar are needed for 5 teaspoons of olive oil.

2.2)

8 teaspoons of vinegar are needed for  20 teaspoons of olive oil.

2.3)

There are 12 teaspoons of vinegar and 30 teaspoons of olive oil in the 42 teaspoons of salad.

2.4)

There are 4 teaspoons of vinegar and 10 teaspoons of olive oil in the 14 teaspoons of salad.

It is the quantity of an amount of something at a rate of one of another quantity.

In 2 hours, a man can walk for 6 miles

In 1 hour, a man will walk for 3 miles.

We have,

6 teaspoons of vinegar = 15 teaspoons of olive oil.

1 teaspoon of vinegar = 5/2 teaspoons of olive oil.

Now,

1 teaspoon of vinegar = 5/2 teaspoons of olive oil.

Multiply 2 on both sides.

2 teaspoons of vinegar = 5 teaspoons of olive oil.

Now,

1 teaspoon of vinegar = 5/2 teaspoons of olive oil.

Multiply 8 on both sides.

8 teaspoons of vinegar = 20 teaspoons of olive oil.

Now,

Total number of teaspoons = 42

1 teaspoon of vinegar = 5/2 teaspoons of olive oil.

Multiply 12 on both sides.

12 teaspoons of vinegar = 30 teaspoons of olive oil.

12 + 30 = 42 teaspoons

Now,

1 teaspoon of vinegar = 5/2 teaspoons of olive oil.

Multiply 4 on both sides.

4 teaspoons of vinegar = 10 teaspoons of olive oil.

4 + 10 = 14 teaspoons

Thus,

2 teaspoons of vinegar are needed for 5 teaspoons of olive oil.

8 teaspoons of vinegar are needed for  20 teaspoons of olive oil.

There are 12 teaspoons of vinegar and 30 teaspoons of olive oil in the 42 teaspoons of salad.

There are 4 teaspoons of vinegar and 10 teaspoons of olive oil in the 14 teaspoons of salad.

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Answer:

b.15%

Step-by-step explanation:

Let's denote the three numbers A, B, and C.

Given that the highest common factor (HCF) of these three numbers is 8 and their sum is 80, we can consider possible combinations of numbers that satisfy these conditions.

Since the HCF is 8, all three numbers must be divisible by 8. Additionally, the sum of the numbers is 80, so we need to find combinations of three numbers that satisfy both conditions.

Let's list the possible combinations:

These are the four possible sets of three numbers that satisfy the given conditions: (8, 16, 56), (16, 8, 56), (24, 8, 48), and (8, 24, 48).

7 is not included and hence it is depicted on the number line using an open dot. Hence, solution to the inequality is option B.

In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign (≠)" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than.

The given inequality is:

x + 8 > 15

Subtracting 8 on both sides of the equation:

x + 8 - 8 > 15 - 8

x > 7

Here, 7 is not included and hence it is depicted using an open dot.

Hence, option B is the correct answer.

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(7x + (3)/(4))^(2)-(x-1)

784

x

2

+

152

x

+

25

16

The product of the slopes of this line and the line perpendicular to it is equal to -1.

Note that the slope if the coefficient of x.

Let

\( \alpha \)

be the slope of the given line.

Let

\( \beta \)

be the slope of the line perpendicular to it.

I can therefore say,

\( \alpha \times \beta = - 1\)

\( \frac{ - 4}{3} \times \beta = - 1\)

\( \beta = \frac{ - 1}{ \frac{ - 4}{3} } \)

\( \beta = \frac{ - 3}{ - 4} = \frac{3}{ 4} \)

The slope is 3/4

Check the picture below.

The values of the angles given are: 0,90,180,240,270,360,420,480,540,600,630,660,720 and

he sine of an angle is the trigonometric ratio of the opposite side to the hypotenuse of a right triangle containing that angle.  It is defined as the length of the opposite side divided by the length of the hypotenuse

The given angles are: 0,30,45,90,120,135,180,210,225,240,270,300,315,330,360

2∅  2*∅ = 0, 90,180,240,270,360,420,480,540,600,630,660,720

sin 2∅ = sin0 = 0; Sin90=1;  sin180=0; sin240= -0.8660; sin270 = -1;

Each angle is multiplied by sine sine360 =1; sin420 = 0.8660; sin480= 0.9848; sin540=1; sin600=-0.8660; sin630=-1; sin660=0.8660; sin720= 0.9397

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9514 1404 393

Answer:

  B, F

Step-by-step explanation:

The factors (x+1) cancel, leaving the function ...

  f(x) = x -2

This is an odd-degree function with a positive leading coefficient, so its graph has the general shape / (up to the right). The end behavior is ...

_____

Additional comment

The graph of this function is a straight line with a slope of 1 and a y-intercept of -2. It has a hole (removable discontinuity) at (-1, -3).

The total number of workers that were studied can be found to be 139,340,000.

The percent of workers unemployed would be 5. 4 %.

Percentage of unemployed men is 5. 6 % and unemployed women is 5. 1%.

Number of employed workers :

= 74,624,000 + 64, 716, 000

= 139,340,000

Percentage unemployed :

= ( 4, 209,000 + 3,314,000 ) / 139,340,000

= 5. 4 %

Percentage of unemployed men :

= 4,209,000 / 74,624,000

= 5.6 %

Percentage of unemployed women:

= 3,314,000 / 64, 716, 000

= 5. 1 %

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The full question is:

a. How many workers were studied?

b. What percent of the workers were unemployed?

c. Compare the percent unemployed for the men and the women.

Answer:

that looks hard

Step-by-step explanation:

sorry i need points but good luck

In a random sample of 125 people, 42 of them owned two vehicles. The sample proportion of people who own two vehicles is 0.336

The percentage of people in a sample that exhibit a particular attribute or trait is expressed by the sample proportion (p).

Divide the total number of individuals (or things) in the sample by the number of individuals (or items) who share the characteristic of interest to obtain the sample proportion.

p = x/n, where x stands for the sample's success rate and n for sample size, gives the sample proportion p.

According to the question,

Sample size = 125

Number of people owned two vehicles = 42

Sample Proportion (p) = x/n

=> p = 42 / 125

=> p = 0.336

Therefore , The sample proportion of people who own two vehicles is 0.336

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The surface area of the box increases by 27.4 cm² when the height is increased by 0.2 cm.

To find the increase in surface area, we first need to calculate the initial surface area of the box and then calculate the surface area after increasing the height.

The formula for the surface area of a rectangular prism is given by:

Surface Area = 2*(length width + length height + width*height)

Initial Surface Area:

Length (L) = 13 cm

Width (W) = 8.7 cm

Height (H) = 28 cm

Initial Surface Area = 2*(138.7 + 1328 + 8.7*28)

Next, we calculate the new surface area after increasing the height by 0.2 cm. The new height is:

New Height = Initial Height + Increase in Height = 28 cm + 0.2 cm

New Surface Area = 2*(138.7 + 13(28+0.2) + 8.7*(28+0.2))

To find the increase in surface area, we subtract the initial surface area from the new surface area:

Increase in Surface Area = New Surface Area - Initial Surface Area

Let's calculate the values:

Initial Surface Area = 2*(138.7 + 1328 + 8.728) = 2(113.1 + 364 + 243.6) = 2*(720.7) = 1441.4 cm²

New Surface Area = 2*(138.7 + 13(28+0.2) + 8.7*(28+0.2)) = 2*(113.1 + 377.2 + 244.1) = 2*(734.4) = 1468.8 cm²

Increase in Surface Area = New Surface Area - Initial Surface Area = 1468.8 cm² - 1441.4 cm² = 27.4 cm²

Therefore, the surface area of the box increases by 27.4 cm² when the height is increased by 0.2 cm.

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Answer:

24

Step-by-step explanation:

first you replace m with 3

like this:

2(3)2+12

then you multyply 2*3*2

and get this:

6*2+12

12+12

=24

Hey there!

2m^2 + 12

= 2(3)^2 + 12

3^2

⇒3 * 3

⇒ 9

= 2(9) + 12

= 18 + 12

= 30

Therefore, your answer is: 30

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer: negative one third

Answer:

-1/3

Explanation:

There's a formula that I'll use to find the slope - it's called the slope formula.

\(\sf{m=\dfrac{y_2-y_1}{x_2-x_1}}\)

Plug in the data:

\(\sf{m=\dfrac{8-4}{-4-8}}\\\\\sf{m=\dfrac{4}{-12}\)

Simplify:

\(\sf{m=-\dfrac{4}{12}}\)

\(\sf{m=-\dfrac{1}{3}}\)

Hence, the slope is negative one-third.

Answer:

the answer is b

Step-by-step explanation

Given inequality:

To graph it first, consider line:

Find two points on the line.

Now, plot the two points.

Next, draw a dashed line trough the two points. Dashed line because the line is not included into solution set, due to '<' sign.

The last step, shade the area below (to the right) the line. Below the line because 'y <' means 'y-values less than' which appears below the line.

Answer:

See attachment.

Step-by-step explanation:

Given linear inequality:

\(y < 3x\)

When graphing inequalities, temporarily replace the inequality sign for the equals sign:

\(\implies y=3x\)

Find two points on the line by substituting two values of x into the equation:

\(x=0 \implies y=3(0)=0 \implies (0, 0)\)

\(x=1 \implies y=3(1)=3 \implies (1,3)\)

When graphing inequalities:

Therefore, to graph the given linear inequality: