Which of the following options have the same value as 40 % percent of 84

Answers

Answer 1

Answer:

33.6

Step-by-step explanation:

Of means multiply

40% * 84

.40 * 84

33.6

Answer 2
Answer:210Step-by-step explanation:

40 percent (calculated percentage %) of what number equals 84? 210.

? =

? =84 ÷ 40% =

? =84 ÷ 40% =84 ÷ (40 ÷ 100) =

? =84 ÷ 40% =84 ÷ (40 ÷ 100) =(100 × 84) ÷ 40 =

? =84 ÷ 40% =84 ÷ (40 ÷ 100) =(100 × 84) ÷ 40 =8,400 ÷ 40 =

? =84 ÷ 40% =84 ÷ (40 ÷ 100) =(100 × 84) ÷ 40 =8,400 ÷ 40 =210

hope this help!


Related Questions

Here is a picture of some sea animals. The number line on the left shows the vertical position of each animal above or below sea level, in meters.

1. How far above or below sea level is each animal? Measure to their eye level.

2. A mobula ray is 3 meters above the surface of the ocean. How does its vertical position compare to the
height or depth of:

The jumping dolphin?

The flying seagull?

The octopus?

3. An albatross is 5 meters above the surface of the ocean. How does its vertical position compare to the
height or depth of:

The jumping dolphin?

The flying seagull?

The octopus?

4. A clownfish is 2 meters below the surface of the ocean. How does its vertical position compare to the
height or depth of:

The jumping dolphin?

The flying seagull?

The octopus?

5. The vertical distance of a new dolphin from the dolphin in the picture is 3 meters. What is its distance from the surface of the ocean?

Here is a picture of some sea animals. The number line on the left shows the vertical position of each

Answers

Answer:

How far above or below sea level is each animal? Measure to their eye level.

The jumping dolphin is approx. 6 meters under sea level

The flying seagull is approx. 8 meters under sea level

The mobula ray is approx. 2 meters under sea level

The clownfish is approx.t 4 meters under sea level

The octopus is approx.  8 meters under sea level

A mobula ray is 3 meters above the surface of the ocean. How does its vertical position compare to the height or depth of:

The jumping dolphin: The mobula ray is 9 meters lower than the jumping dolphin.

The flying seagull: The mobula ray is 11 meters lower than the flying seagull.

The octopus: The mobula ray is 11 meters higher than the octopus.

An albatross is 5 meters above the surface of the ocean. How does its vertical position compare to the height or depth of:

The jumping dolphin: The albatross is 1 meter lower than the jumping dolphin.

The flying seagull: The albatross is 3 meters lower than the flying seagull.

The octopus: The albatross is 13 meters higher than the octopus.

A clownfish is 2 meters below the surface of the ocean. How does its vertical position compare to the height or depth of:

The jumping dolphin: The clownfish is 8 meters lower than the jumping dolphin.

The flying seagull: The clownfish is 10 meters lower than the flying seagull.

The octopus: The clownfish is 6 meters higher than the octopus.

The vertical distance of a new dolphin from the dolphin in the picture is 3 meters. What is its distance from the surface of the ocean?

If the new dolphin is above the dolphin in the picture, then its distance from the surface of the ocean is 6 - 3 = 3 meters.

If the new dolphin is below the dolphin in the picture, then its distance from the surface of the ocean is 6 + 3 = 9 meters.

✧☆*: .。. Hope this helps, happy learning! (✧×✧) .。.:*☆✧

These points are linear. Find the Slope.

These points are linear. Find the Slope.

Answers

Answer:

the slope is 1

Step-by-step explanation:

if your x goes up by one as your y goes up by one, the slope will always be one.

Answer: slope = 1

Explanation:

m = (y1 - y)/(x1 - x)

Where:
m is the slope
y1 = -3, y = -2
x1 = -3, y = -2

=> m = (-3 -(-2))/(-3 -(-2))
=> m = (-3 + 2)/(-3 + 2)
=> m = -1/-1 = 1

Therefore the slope is 1

1) Kelly has 15 blue bracelets and 12 green bracelets. What is the ratio of Kelly’s blue bracelets to green bracelets?


2) Over the winter it snowed 36 days out of 40 days. What is the snow days to days ratio in simple form?


3) The ratio of girls to boys who participated in the quiz bowl was 7:5. There were 42 girls in the competition. How many boys participated?

Answers

1)The ratio of Kelly’s blue bracelets to green bracelets is 5:4.

2)The snow days to days ratio is 20:1

3)There are 42 girls in the competition. The ratio of girls to boys who participated in the quiz bowl was 7 : 5. Solving the two ratios, Therefore, There are 30 boys in the competition.

Define ratio?A ratio is a ratio that compares two quantities.A proportion is the difference between two ratios. To write a ratio, do the following: Determine whether the ratio is a part-to-part or a part-to-whole ratio. If necessary, compute the parts and total.The ratio is defined as the division of two numbers or quantities. The ratio is a relationship between the quantities of two or more objects that indicates how much of one is contained in the other. The ratio formula can be used to convert a ratio into a fraction. a:b = a/b is the ratio formula for any two quantities, say a and b.

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1)The ratio of Kelly’s blue bracelets to green bracelets is 5:4.

2)The snow days to days ratio is 20:1

3)There are 42 girls in the competition. The ratio of girls to boys who participated in the quiz bowl was 7 : 5. Solving the two ratios, Therefore, There are 30 boys in the competition.

Define ratio?

A ratio is a ratio that compares two quantities.

A proportion is the difference between two ratios.

To write a ratio, do the following: Determine whether the ratio is a part-to-part or a part-to-whole ratio. If necessary, compute the parts and total.

The ratio is defined as the division of two numbers or quantities.

The ratio is a relationship between the quantities of two or more objects that indicates how much of one is contained in the other.

The ratio formula can be used to convert a ratio into a fraction. a:b = a/b is the ratio formula for any two quantities, say a and b.

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What is the sine of 0?
(Need help)

What is the sine of 0? (Need help)

Answers

The angle of sinθ between the horizontal vector (1, 0) and the slant vector (15/17, -8/17) is sin⁻¹(8/17), which is approximately 29.11 degrees.

To find the angle of sinθ between a horizontal vector and a slant vector, we can use the dot product formula:

a · b = |a| |b| cos(θ)

where a and b are vectors, |a| and |b| are their magnitudes, and theta is the angle between them.

In this case, the horizontal vector is (1, 0) and the slant vector is (15/17, -8/17).

The magnitude of the horizontal vector is 1, and the magnitude of the slant vector is:

|b| = sqrt((15/17)² + (-8/17)²) = sqrt(225/289 + 64/289) = sqrt(289/289) = 1

The dot product of the two vectors is:

a · b = (1)(15/17) + (0)(-8/17) = 15/17

So we have:

15/17 = (1)(1) cos(θ)

cos(θ) = 15/17

To find sin(θ), we can use the trigonometric identity:

sin²(θ) + cos²(θ) = 1

sin²(θ) = 1 - cos²(θ) = 1 - (15/17)² = 64/289

Taking the square root of both sides, we get:

sin(theta) = sqrt(64/289) = 8/17

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which is the best deal: a 14 ounce drink for $4.50 or a 12 ounce drink for $3.75?

Answers

Answer: 12 ounces for $3.75 is the better value

Step-by-step explanation:

The 12-ounce drink for $3.75 is the best deal as it has a lower cost per ounce compared to the 14-ounce drink for $4.50.

To find the best deal, we need to compare the cost per ounce for each drink.

For the 14-ounce drink:

Cost per ounce = $4.50 / 14 = $0.3214 (rounded to four decimal places)

For the 12-ounce drink:

Cost per ounce = $3.75 / 12 = $0.3125 (rounded to four decimal places)

Comparing the cost per ounce, the 12-ounce drink has a lower cost per ounce, making it the better deal.

So, the 12-ounce drink for $3.75 is the best deal.

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Solve the inequality
8(x/4 - 6) >_ 4


Solve the inequality 8(x/4 - 6) >_ 4

Answers

Answer:

D. x\(\geq\)26

Step-by-step explanation:

Its x >_ 26

______________

Which shapes are similar but not congruent to shape 1

Answers

There are countless possibilities for shapes that are similar but not congruent to shape 1, as long as they maintain the same proportions and shape.

There are many shapes that are similar but not congruent to shape 1. Similar shapes have the same shape, but their sizes may be different. In contrast, congruent shapes have the same shape and size.

One example of a similar shape to shape 1 is a rectangle that is twice as long and half as wide. Another example could be a square that is three times larger in area than shape 1.

A parallelogram that has the same base as shape 1 but is three times as tall is also similar but not congruent.

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Shape A is or is not congruent to shape B.

Shape A is or is not congruent to shape B.

Answers

Answer:

Shape A is congruent to Shape B

Step-by-step explanation:

Congruent shapes have the same shape and size (no matter which way they are facing)

Hope this helps!

Gabe, a nuclear physicist need 60 L of a 60% acid solution he currently has a 50% solution and a 70% solution how many liters of each does he need to make the needed 60 L of 60% acid solution Gabe needs ___ liters of the 50% solutionit says he also needs __ liters of the 70% solution

Answers

30 liters of 50% solution and 30 liters of 70% solution.

1) We can solve this problem, making use of an equation.

x- the amount of 70%

60 -x stands for the amount of 50% solution. From this we can write the following equation, rewriting the percentages as decimal numbers:

\(\begin{gathered} 0.5(60-x)+0.7x=0.6(60) \\ 30-0.5x+0.7x=36 \\ 0.2x=36-30 \\ 0.2x=6 \\ \frac{0.2x}{0.2}=\frac{6}{0.2} \\ x=30 \end{gathered}\)

Note that we equated two equations, the first one:

\(0.5(60-x)+0.7x\)

provides the amount of 50% solution minus that 60L and the second one yields 60% of those 60 Liters, so with x, we get the remaining amount of that 50% solution.

b) Since the other question refers to the amount of of the 70% solution and we also know that Gabe needs 30 liters of the 50% solution we can write the following, calling the second amount as y:

\(\begin{gathered} 30+y=60 \\ y=60-30 \\ y=30 \end{gathered}\)

Note the total of 60 Liters

2) Thus the answer is 30 liters of 50% solution and 30 liters of 70% solution.

Hi can any one teach me this constant difference ​

Hi can any one teach me this constant difference

Answers

The constant differences between the consecutive terms are 2 (a); 2 (b), -3 (c), 7 (d), 1(e), and 6(f).

How do you find the constant difference in a sequence of numbers?

In math, the constant difference can be defined as the number that defines the pattern of a sequence of numbers. This means that number that should be added or subtracted to continue with the sequence.

Due to this, to determine the constant difference it is important to observe the pattern and find out the number that should be added. For example, if the sequence is 2, 4, 6, 8, there is a difference of 2 between each of the numbers and this is the constant difference.

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A cake for 6 people requires 4 eggs.How many eggs are needed to make a cake big enough for 9 people​

Answers

Answer:

6

Step-by-step explanation:

Divide the amount of eggs by the amount of people this gives you the amount of eggs needed for one person then times by 9

(4÷6) x9

Find the volume of the cone. Use 3.14 for π. Remember that there is a formula for calculating the volume of a cone.

Find the volume of the cone. Use 3.14 for . Remember that there is a formula for calculating the volume

Answers

The volume of the cone is 314cm³

What is volume of a cone?

A cone is a shape formed by using a set of line segments or the lines which connects a common point, called the apex or vertex, to all the points of a circular base(which does not contain the apex). The distance from the vertex of the cone to the base is the height of the cone.

The volume of the cone is 1/3πr²h

h²= 13²-5²

h = √169 - 25

h = √144

h = 12 cm

V = 1/3πr²h

V = 1/3 ×3.14 × 5² × 12

V = 942/3

V = 314 cm³

therefore the volume of the cone is 314cm³

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A man gave 90000.00 to his two daughters Jane and Lydia, 75.00 was given to Lydia to pay her load. After sharing the money Lydia has twice as
much as Jane. How much did each received?​

Answers

Jane received $30025 and Lydia received $60000. Let's assume the amount of money that Jane received as x; then Lydia's share of the money will be twice the share of Jane.

We are to find out the share of each person. Here is the solution in steps:Suppose Jane's share was x dollars, and Lydia's share was y dollars.

Given that the total amount given to the two daughters was $90000. Also, given that Lydia paid off her $75, hence she got $75 less than Jane.

Therefore,  y = 2x - 75; this is because we are given that Lydia got twice the share of Jane, and also, she got $75 less than Jane. Hence, x + y = $90000, this is because the total sum of money shared is $90000.

Substituting y = 2x - 75 into x + y = $90000 gives x + (2x - 75) = $90000.

Simplifying, we have :3x = $90000 + 75 = $90075.

Dividing both sides by 3, we get:x = $30025. Hence, Jane's share is $30025 Lydia's share = 2x - 75 = 2($30025) - $75 = $60075 - $75 = $60000.

Therefore, Jane received $30025 and Lydia received $60000.

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A local reader’s club has a set of 12 hardback books, a set of 18 paperbacks, and a set of 36 magazines. Each set can be divided equally among the club members. What is the greatest possible number of club members?

Answers

The answer is 6 members

A rectangular prism with a square base has a height of 17.2cm and a volume of 24.768cm². What is the length of its base?

Answers

Let's use the formula for the volume of a rectangular prism to solve for the length of the base.

The formula for the volume of a rectangular prism is:

V = lwh

where V is the volume, l is the length, w is the width, and h is the height.

We know that the height of the rectangular prism is 17.2 cm, and the volume is 24.768 cm³. We also know that the base is a square, so the length and width are the same. Let's call the length of the base x.

Then, we can write:

V = lwh
24.768 = x * x * 17.2
24.768 = 17.2x²
x² = 1.44
x = 1.2

Therefore, the length of the base of the rectangular prism is 1.2 cm.
Let x be the length of the base of the rectangular prism.

The formula for the volume of a rectangular prism is V = lwh, where l is the length, w is the width, and h is the height.

In this problem, we know that the height is 17.2 cm, and the volume is 24.768 cm³. We also know that the base is a square, so the length and width are the same.

Therefore, we can write the equation:

24.768 = x² * 17.2

To solve for x, we can divide both sides by 17.2, and then take the square root of both sides:

x² = 24.768 / 17.2

x² = 1.44

x = sqrt(1.44)

x = 1.2

Therefore, the length of the base of the rectangular prism is 1.2 cm.

b) How many times would you expect the
spinner to land on a shaded section if it were
spun 40 times?

b) How many times would you expect thespinner to land on a shaded section if it werespun 40 times?

Answers

The number of times the spinner lands on a shaded section are 8 times.

What is the probability?

Probability is the branch of mathematics concerned with numerical descriptions of the likelihood of an event occurring or of a proposition being true.

We have,

2 Shaded sections are on a spinner,

8 unshaded sections are on a spinner,

10 total sections are on a spinner,

Therefore,

The probability of the spinner to land on a shaded section:

P = 2 ÷ 10 = 1 ÷ 5

consider x, the number of times the spinner lands on a shaded section.

If the spinner were spun 40 times:

so,   \(\frac{x}{40} = \frac{1}{5}\)

By cross multiplying we get,

5x = 40

x = 8

Hence, the number of times the spinner lands on a shaded section are 8 times.

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A delivery driver makes $78 each day that he works and makes approximately $10 in tips for each delivery that he makes. If he wants to make at least $238 in one day, at least how many deliveries does he need to make?

Answers

Answer:

16 deliveries

Step-by-step explanation:

We can model the situation using a linear inequality.  Since we're told that the driver makes $10 in tips for each delivery.Thus, this is the slope.Since he makes $78 each day, this number is a constant and he makes it even when no deliveries are made.  Thus, this is the y-interceptSince he wants to make at least #238, we want to find a value of d (number of deliveries) which would cause his wages to equal #238.  Thus, we can use the following equation to find:

238 ≤ 10d + 78

160 ≤ 10d

16 ≤ d

Thus, he needs to make at least 16 deliveries to make at least $238 in one day.  Any less than 16 deliveries will cause him to fall short of his goal and any more than 16 deliveries will cause him to exceed his goal.

HELP ASAP
A composite figure is represented in the image.

A four-sided shape with the base side labeled as 21.3 yards. The height is labeled 12.8 yards. A portion of the top from the perpendicular side to a right vertex is labeled 6.4 yards. A portion of the top from the perpendicular side to a left vertex is labeled 14.9 yards.

What is the total area of the figure?

272.64 yd2
231.68 yd2
190.72 yd2
136.32 yd2

Answers

The total area of the figure is 272.64 yd2. Hence, the answer is option (A) 272.64 yd².

It is a trapezoid with base sides of a length of 21.3 yards and 14.9 yards, a height of 12.8 yards, and a portion of the top from the perpendicular side to a right vertex of 6.4 yards. We can use the formula for the area of a trapezoid, which is A = (b1 + b2)h/2, where b1 and b2 are the base sides, and h is the height. We have b1 = 21.3 yards, b2 = 14.9 yards, and h = 12.8 yards. To find the missing length, we can use the fact that the sum of the lengths of the two portions of the top is equal to the length of the top, which is (b1 - b2) = 6.4 + 14.9 = 21.3. Solving for b2, we get b2 = 21.3 - 6.4 = 14.9. Substituting the values in the formula, we get A = (21.3 + 14.9) x 12.8 / 2 = 272.64 yd².

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among all simple closed curves in the plane oriented counterclockwise find the one alon which the work done

Answers

Using the Green's Theorem, the one along which the work done by the force is 11π/16.

In the given question we have to find the one along which the work done by the force is the greatest.

The given closed curves in the plane is

\(F(x,y)=\left(\frac{x^{2}y}{4} + \frac{y^3}{3}\right)\hat{i}+x\hat{j}\)

Suppose C be a simple smooth closed curve in the plane. It is also oriented counterclockwise.

Let S be the interior of C.

Let P = \(\frac{x^{2}y}{4} + \frac{y^3}{3}\) and Q = x

So the partial differentiation is

\(\frac{\partial P}{\partial y}=\frac{x^2}{4}+y^2\) and  \(\frac{\partial Q}{\partial x}\) = 1

By the Green's Theorem, work done by F is given as

W= \(\oint \vec{F}d\vec{r}\)

W= \(\iint_{S}\left ( \frac{\partial Q}{\partial x}-\frac{\partial P}{\partial y} \right )dxdy\)

W= \(\iint_{S}\left ( 1-\frac{x^2}{y}-y^2 \right )dxdy\)

Let C = x^2+y^2 = 1 and

x = rcosθ, y = rsinθ

0≤r≤1; 0≤θ≤2π

There;

W = \(\int_{r=0}^{1}\int_{\theta=0}^{2\pi}\left ( 1-\frac{r^2\cos^2\theta}{4}-r^2\sin^2\theta \right )\left|\frac{\partial(x,y)}{\partial{r,\theta}}\right|d\theta dr\)

and \(\frac{\partial (x,y)}{\partial(r, \theta)}=\left|\begin{matrix}\cos\theta &-r\sin\theta \\ \sin\theta & r\cos\theta\end{matrix} \right |\) = r

Thus;

W = \(\int_{r=0}^{1}\int_{\theta=0}^{2\pi}\left ( 1-\frac{r^2\cos^2\theta}{4}-r^2\sin^2\theta \right )rd\theta dr\)

After solving

W = 11π/16

Hence, the one along which the work done by the force is 11π/16.

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The right question is:

Among all simple smooth closed curves in the plane, oriented counterclockwise, find the one along which the work done by the force:

\(F(x,y)=\left(\frac{x^{2}y}{4} + \frac{y^3}{3}\right)\hat{i}+x\hat{j}\)

is the greatest. (Hint: First, use Green’s theorem to obtain an area integral—you will get partial credit if you only manage to complete this step.)

Show all work to solve 3x2 − x − 2 = 0.

Answers

Answer:

x=-2/3 and 1

Step-by-step explanation:

3x^2-x-2=0

(3x+2)(x-1)

3x=-2

x=-2/3

x=1

I need help with these 3 question please :c

I need help with these 3 question please :c
I need help with these 3 question please :c

Answers

Most high school kids would allow the pressure to rise to its limit of 300 mmHg without ever complaining that the discomfort was too great.

The proportion of persons who would allow the pressure to reach its maximum level is within a 95% confidence interval, and that interval is (0.2326, 0.3344). According to this, the actual number of persons who would submit to the maximum pressure is probably between 23.26% and 33.44%.

Describe statistics.

A subfield of mathematics called statistics is concerned with the gathering, examination, interpretation, presentation, and arrangement of data. Several disciplines, including business, economics, sociology, psychology, epidemiology, and public health, employ it. Statistic uses a variety of techniques to gather and analyse data to better understand.
(A) The percentage of persons (p) who would permit the pressure to increase to its highest point is what we are predicting.

(b) The sample statistic, given as p, is the percentage of subjects that allowed the pressure to build to its highest point (75/264).

(c) The sample statistic's value is 0.2835.

(d) The estimate's standard error is 0.0255.

(e) For the percentage of people who would permit the pressure to reach its highest level, the 95% confidence interval is (0.2326, 0.3344).

Overall, the findings of this study indicate that a significant majority of high school pupils will tolerate pressures up to 300 mmHg without ever complaining about the discomfort. The range of values inside the 95% confidence.
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Parallel Structure:Question 6
Which sentence uses parallel
structure correctly:

Select one:

Eggs, flour, and turning the oven to 350 degrees are needed for
baking the pie.

Eggs, flour, and having turned the oven to 350 degrees will be
needed to bake the pie.

Eggs, flour, and sugar are needed to bake the pie crust.

Eggs, flour, and turning the oven to 350 degrees are needed to
bake the pie crust.

Answers

parallel structure is used correctly in :

Eggs, flour, and sugar are needed to bake the pie crust.

In grammar, parallelism, also referred to as parallel structure or parallel construction, is the distribution of identical phrases or clauses with the same grammatical structure within one or more sentences.

The use of parallel structure is more of a stylistic option than a strict rule because it aids in the patterning of sentence elements.

The use of parallelism has an impact on reading and may facilitate text processing.

The rhythm and grammatical balance of a sentence are both guaranteed by using parallel construction.

However, if this structure is not used when creating a sentence with two or more pieces of information, the sentence will have a disruption in rhythm or grammatical imbalance.

Therefore, the correct answer is:

Eggs, flour, and sugar are needed to bake the pie crust.

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Irma polled the 2 fastest swimmers on the swim team. Is this sample of the swimmers on the swim team likely to be representative? yes or no

Answers

Answer:

NO

Step-by-step explanation:

No. The sample of only the 2 fastest swimmers on the swim team is not likely to be representative of the entire swim team. It may not include swimmers with different skill levels or performance abilities, which could lead to a biased representation of the team as a whole. To have a representative sample, it would be necessary to include a diverse range of swimmers from different skill levels and performance abilities.

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\textcolor{red}{\underline{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

I need help on the problem!! please ​

I need help on the problem!! please

Answers

Answer:

choice 2) 1/4(n - 64)

Step-by-step explanation:

1/4n - 16 = 1/4(n - 64)

Mr. Lewis is 63 years old. He wants to take out a five-year level-term life insurance
policy with a face value $700,000. The monthly premium is $72.
2. If he dies after paying for the policy for 24 months, how much will the insurance
company pay his beneficiaries?

Answers

The amount insurance company will pay is $700000.

We are given that

Age of Mr. lewis= 63

Policy value= $700,000

Now,

If Mr. Lewis dies after paying for the policy for 24 months, he would have paid a total of 24 * $72 = $1728 in premiums. Since he has a five-year level-term life insurance policy with a face value of $700,000, his beneficiaries would receive the full face value of the policy if he dies within the five-year term.

Therefore, by algebra the answer will be $700000.

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Which expression has a value greater than 4^3?

Answers

Answer:

(-3)^4

Step-by-step explanation: We just have to evaluate

So, the only expression that exceeds 4^3 is (-3)^4:

Solve for y. Then graph the equation.

Solve for y. Then graph the equation.

Answers

Answer:

Step-by-step explanation:

Equation of the line is,

2y - 3x = 1

2y = 3x + 1

y = \(\frac{1}{2}(3x+1)\)

Table for input-output values will be,

x       -3        -1          0        1          3

y       -4        -1        0.5       2         5        

Now plot these points to get the graph of the given equation.

Solve for y. Then graph the equation.

Please Solve, Thank you!

Please Solve, Thank you!

Answers

Answer:

1711

Step-by-step explanation:

\(4\cdot(14+8)^2-9\cdot(9-4)^2\\=4\cdot(22)^2-9\cdot(5)^2\\=4(484)-9(25)\\=1936-225\\=1711\)

Make sure to follow order of operations!

(-2) (4+6)+(-2) 6 / (-2) (4-1) simplified

Answers

The simplified form of the expression is \(-32\).

To simplify the expression, we can perform the calculations written below step by step:

\(\(\frac{{-2(4+6)+(-2)6}}{{-2(4-1)}}\)\)

We follow the order of operations (PEMDAS/BODMAS):

Step 1: Simplify within parentheses:

\(\(4+6 = 10\)\).

Step 2: Perform multiplications and divisions from left to right:

\(\(-2(10) = -20\) and \(-2(4-1) = -2(3) = -6\)\).

Step 3: Evaluate the remaining additions and subtractions:

\(\(-20 + (-2) \cdot 6 = -20 - 12 = -32\)\).

Therefore, the simplified form of the expression \(\(\frac{{-2(4+6)+(-2)6}}{{-2(4-1)}}\) is \(-32\).\)

When simplifying an expression, several factors need consideration. First, apply the order of operations correctly, respecting parentheses and exponents. Next, combine like terms by adding or subtracting them. Distribute and simplify within parentheses or brackets as needed. Pay attention to negative signs and ensure their proper placement.

Finally, review the simplified expression to ensure accuracy and validity within the given context.

Note: The complete question is:

\(\(\frac{{-2(4+6)+(-2)6}}{{-2(4-1)}}\)\), calculate the simplified form of this expression.

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Question 6 (5 points)
Which of the following pairs of triangles can be proven similar through SSS
similarity?

Question 6 (5 points)Which of the following pairs of triangles can be proven similar through SSSsimilarity?

Answers

The pairs of triangles can be proven similar through SSS similarity is given by Third pair.

We know that the SSS similarity criteria will have the ratio of three corresponding sides of both triangles congruent.

1. KL / EG = HL / DG = HK / DE

3/6 = 6.5/13 ≠ 4/10

Thus, SSS similarity does not follow.

2. KL / EG = HL / DG = HK / DE

3/10 ≠ 6.5/13 ≠ 4/10

Thus, SSS similarity does not follow.

3. KL / EG = HL / DG = HK / DE

3/6 = 6.5/13 = 5/10

Thus, SSS similarity follow.

4. All three angles are congruent.

Thus, SSS similarity does not follow.

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