Select the correct answer.
Which equation is true for the value b= 10?
O A. 2(b + 4) = 16
OB.
2(b + 2) = 40
OC. 316 - 2) = 24
OD. 2(8 + b) = 42
O E. 3(b - 4) = 20

Answer:

n+5=42, n=37

Step-by-step explanation:

Using the words given you can write the equation

n+5=42, then solve using algebra

n+5-5=42-5

n=37

Answer:

37

Step-by-step explanation

HI

ok say you say the sum of n and 5 equals 42.

so you subtract 42 and 5 which equals 37 .

so n (37) + 5 = 42

hope this helps :)

Answer:

y = 4\(\sqrt{5}\) , ? = 10

Step-by-step explanation:

using Pythagoras' identity on the smallest right triangle

x² = 4² + 2² = 16 + 4 = 20 ( take square root of both sides )

x = \(\sqrt{20}\) = \(\sqrt{4(5)}\) = \(\sqrt{4}\) × \(\sqrt{5}\) = 2\(\sqrt{5}\)

using Pythagoras' identity on the middle right triangle

y² = 8² + 4² = 64 + 16 = 80 ( take square root of both sides )

y = \(\sqrt{80}\) = \(\sqrt{16(5)}\) = \(\sqrt{16}\) × \(\sqrt{5}\) = 4\(\sqrt{5}\)

using Pythagoras' identity on the largest right triangle

?² = x² + y² = (2\(\sqrt{5}\) )² + (4\(\sqrt{5}\) )² = 20 + 80 = 100

Take square root of both sides

? = \(\sqrt{100}\) = 10

Austin's rate of motion is (1/70)π Radians per second.

To determine Austin's rate of motion in radians per second, we need to use the formula for angular velocity:

ω = Δθ / Δt

Where:

ω = angular velocity (in radians per second)

Δθ = change in angular displacement (in radians)

Δt = change in time (in seconds)

We know that Austin runs three-quarters of a circular track, which means he covers an arc length that is equal to three-quarters of the circumference of the circle. Let's call the radius of the circle "r". Then, the arc length covered by Austin is given by:

s = (3/4) * 2πr

s = (3/2)πr

We also know that it takes Austin 1 minute and 45 seconds to cover this distance. This is the same as 105 seconds (since 1 minute = 60 seconds).

So, Δt = 105 seconds

Now, we can calculate the change in angular displacement (Δθ). The total angle around a circle is 2π radians, so the angle covered by Austin is given by:

Δθ = (3/4) * 2π

Δθ = (3/2)π

Therefore, Austin's rate of motion (ω) in radians per second is:

ω = Δθ / Δt

ω = [(3/2)π] / 105

ω = (3/210)π

ω = (1/70)π radians per second

So, Austin's rate of motion is (1/70)π radians per second.

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Answer: To find the probability that a person chosen at random has a median lifetime income between 1 to 2 standard deviations below the mean, we need to calculate the area under the normal distribution curve within that range.

First, let's define the variables:

μ = Mean lifetime income = $25800

σ = Standard deviation = $14000

We want to find the probability of having a median lifetime income between 1 to 2 standard deviations below the mean.

1 standard deviation below the mean would be μ - σ, and 2 standard deviations below the mean would be μ - 2σ.

μ - σ = $25800 - $14000 = $11800

μ - 2σ = $25800 - 2 * $14000 = $-2200

Next, we need to find the z-scores for these values. The z-score represents the number of standard deviations a given value is from the mean in a standard normal distribution.

For μ - σ:

z1 = (11800 - μ) / σ = (11800 - 25800) / 14000 ≈ -1.5714

For μ - 2σ:

z2 = (-2200 - μ) / σ = (-2200 - 25800) / 14000 ≈ -2.2857

Using a standard normal distribution table or a statistical software, we can find the corresponding probabilities associated with these z-scores.

The probability of having a median lifetime income between 1 to 2 standard deviations below the mean is the difference between the probabilities corresponding to z1 and z2.

P(1 to 2 standard deviations below the mean) = P(z1 < Z < z2)

You can refer to a standard normal distribution table or use statistical software (such as Excel, R, or Python) to calculate the probabilities. The exact values may vary depending on the specific table or software used.

The image of (10,-6) after dilation by a scale factor of 1/2 centered at the origin is (-5,-3).

What is dilation?

A dilation is a function f from a metric space M into itself that, for any points x, y in M, fulfills the identity d=rd, where d is the distance between x and y and r is a positive real number. Such a dilatation is a resemblance of the space in Euclidean space.

Here, we have

Given

The image of (10,-6) after dilation by a scale factor of 1/2 centered at the origin.

We have to find the image after dilation.

The coordinates of an image (-10,-6), dilating the coordinate by 1/2 means reducing the image by multiplying each coordinate by the factor of 1/2.

Image = (1/2(-10), 1/2(-6))

Image = (-5,-3)

Hence, the image of (10,-6) after dilation by a scale factor of 1/2 centered at the origin is (-5,-3).

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Answer:

J Trump has to be a great day of school and I have a great

Step-by-step explanation:

you thank you thank you thank you thank you thank you thank you thank you thank you thank you thank you for your loss of school and I have a great day of school ii

a) Comparing the two functions, Scooter's business has a lower slope of 15 compared to Karissa's business with a slope of 35. b) Both Scooter and Karissa earned a total of $500 in that month. Therefore, they had an equal month in terms of total money earned.

a) In the context of Scooter's business, the slope of the function f(x) = 200 + 15x represents the rate at which the total money earned increases with each additional sale. Each unit increase in x (number of sales) results in an increase of $15 in total money earned. The y-intercept of 200 represents the initial amount of money Scooter already had before making any sales.

In the context of Karissa's business, the slope of the function f(x) = 80 + 35x represents the rate at which the total money earned increases with each additional repair job. Each unit increase in x (number of repairs) results in an increase of $35 in total money earned. The y-intercept of 80 represents the initial amount of money Karissa already had before doing any repair jobs.

Comparing the two functions, Scooter's business has a lower slope of 15 compared to Karissa's business with a slope of 35. This means that Karissa's business earns more money per repair job compared to Scooter's business per t-shirt sale.

b) To determine who had the better month, we need to calculate the total money earned by each individual based on the given sales/repairs.

For Scooter, with x = 20 (number of shirts sold):

f(x) = 200 + 15x

f(20) = 200 + 15 * 20

f(20) = 200 + 300

f(20) = 500

For Karissa, with x = 12 (number of repairs):

f(x) = 80 + 35x

f(12) = 80 + 35 * 12

f(12) = 80 + 420

f(12) = 500

Both Scooter and Karissa earned a total of $500 in that month. Therefore, they had an equal month in terms of total money earned.

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Answer:

The average daily balance on Perry's credit card for the period beginning October 10 was $714, and the balance at the end of the cycle was $506. To calculate the balance due, we need to know the length of the billing cycle. Assuming a 30-day billing cycle, we can use the average daily balance method to calculate the interest charged. The formula for interest charged is: Average Daily Balance x APR x Days in Billing Cycle / 365. Plugging in the numbers, we get: $714 x 0.08 x 30 / 365 = $4.68. Adding this interest to the ending balance of $506, the total balance due is $510.68.

Answer:

it's 1,1 is the correct ans

Step-by-step explanation:

Because my teacher told its absolutely correct answer I got the same question in exam

Answer:

the answer should be the 2 one

Step-by-step explanation:

I got it right just had it.

Answer:

67 m/s

Step-by-step explanation:

Formula for range :

Solving with the given values :

Answer:

\(\sf u=67\:ms^{-1}\)

Step-by-step explanation:

Assuming the distance traveled is the horizontal distance.

Horizontal Range Formula

\(\sf R=\dfrac{u^2 \sin 2\theta}{g}\)

where:

Given:

Substituting the given values into the formula and solving for u:

\(\implies \sf 400=\dfrac{u^2 \sin 60^{\circ}}{9.8}\)

\(\implies \sf 3920=u^2 \sin 60^{\circ}\)

\(\implies \sf 3920=\left(\dfrac{\sqrt{3}}{2}\right)u^2\)

\(\implies \sf u^2=\dfrac{7840}{\sqrt{3}}\)

\(\implies \sf u=\sqrt{\left(\dfrac{7840}{\sqrt{3}} \right) }\)

\(\implies \sf u=67.2787196...\)

\(\implies \sf u=67\:ms^{-1}\:(nearest\:whole\:number)\)

Answer: The percentage of people surveyed who liked blue cars is 50%.

Step-by-step explanation:

Total number of people partaking in survey= 36

number of people who like blue cars= 18

therefore, fraction of people who liked blue cars= \(\frac{18}{36}\)

hence, percentage of people who liked blue cars= (18/36)*100 %

                                                                                  = 50%  

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Answer:

Percentage of people who like blue-coloured cars is 50%

Number of people who were surveyed=36

Number of people who like blue-colored cars=18

Therefore, Percentage of people who like blue cars= (Number of people who like blue cars/ Number of people who were surveyed)*100

=(18/36)*100

=50%

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Check the picture below.

\(\textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h~~=height\\ a,b=\stackrel{parallel~sides}{bases~\hfill }\\[-0.5em] \hrulefill\\ A=900\\ b=2a\\ h=40 \end{cases}\implies 900=\cfrac{40(a+2a)}{2} \\\\\\ 1800=40(3a)\implies 1800=120a\implies \cfrac{1800}{120}=a\implies \boxed{15=a}~\hfill \boxed{b=30}\)

Answer:

11.5

Step-by-step explanation:

She increases her speed for 20 seconds:

She slows down for 10 seconds:

She stays approximately the same speed for the next 20 seconds:

She then slows down to a stop for the last 5 seconds.

Answer:

3932.6N

Step-by-step explanation:

because force = weight

weight = mass × gravity so,

weight = 1060kg×3.71m/s

=3932.6N

The volume of the rectangular prism is 4.84 cm cube.

A rectangular prism is filled exactly with 605 cubes. Each cube has edge

length 1 / 5 cm. Therefore, the volume of the rectangular prism can be

calculated as follows:

volume of each cube = l³

volume of each cube = (1 / 5)³

volume of each cube = 1 / 125 cm³

Therefore,

volume of the rectangular prism = 605 × 1 / 125

volume of the rectangular prism = 605 / 125

volume of the rectangular prism = 4.84 cm³

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Answer:

156 cm³

Step-by-step explanation:

The solid is a prism with a trapezoid base.

volume = (area of base) × height

V = (8 cm + 5 cm)(1/2)(4 cm) × 6 cm

V = 156 cm³

Answer:

A

Step-by-step explanation:

The answer is option (A) 8560. This combination cannot be the correct combination for your brother's lock because it contains the digit '6' in the same position as the correct combination (6348), but the other digits do not match.

Answer:

1

Step-by-step explanation:

I would think (I'm not sure, but it's an idea)

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

so when x becomes bigger and bigger

the

\(\frac{3}{x^{2} -1}\)

will become smaller and smaller

to a point that it's practically 0

so the limit is 1

Answer:

Surface area of the box is 3345cm^2

Step-by-step explanation:

First you need to find the surface area of the sides. In order to find the sides you would do 70cm times 15cm to find one of the area of the sides. This would give you that one of the area is 1050cm^2. Since there are three you need to multiply by 3. This means that all the rectangles on the side would have a surface area of 3150cm^2. Then you need to find the area of the triangles. So the Area= Height times (1/2)base. Area= 13cm* times 7.5cm. Therefore the area of the triangle is equal to 97.5cm^2. Since there are two this means that the surface area of the two triangles would be equal to 195cm^2. Then in order to find the total surface area you would need to add the triangles with the rectangles which is equal to 3150cm^2 plus 195cm^2 which totals to 3345cm^2.

Therefore the total surface area for the triangle box is 3345cm^2

i think the domain is infinity or -∞<x<+∞

the range is f(x)≥-3

Answer:

Domain:  All real numbers

Range:  [-3, ∞] (-3 to infinity)

Step-by-step explanation:

Answer:

-21

Step-by-step explanation:

-3a + 5b - c

-3(2)+5(-1)-(10)=-21

Answer:

this is hard

Step-by-step explanation:

is it trigonometry?

Answer:

22,873.35

Step-by-step explanation:

A=p+I where P(principal) = 18,000

I(interest) = 4,873.35

Answer:

A = 22,775

Step-by-step explanation:

A = amount after 6 years

P = 18,000

r = 4%  (in decimal = 0.04)

t = 6 years

A = 18,000 ( 1 + 0.04)^6

A = 22,775

If Tito took a loan of $10000 from a bank to be repaid within 4 years, at 12% Simple interest per annum, then, he will have to pay overall $4800 as interest to the bank over 4 years and a total payment of $14800 at the end of the 4th year to repay and close off the loan.

As per the question statement, a bank charges 12% Simple interest per annum on cash loans to its clients and Tito took a loan of $10000 from the same bank to be repaid within 4 years.

We are required to calculate the overall interest Tito has to pay to bank if he repays and closes the loan at the end of 4th year, and also to calculate the total payment required to repay and close off the loan at the end of the 4th year.

To solve this question, we need to know the formula to calculate the interest amount in case of simple interest which goes as

Interest (I) \(=(\frac{P*R*T}{100} )\)

where, "P" = Principle amount of Loan,

"R" = Rate of simple interest charged on the principle per annum, and

"T" = Time period within which, the loan is to be repaid.

Here, (P = 10000), (R = 12%) and (T = 4). Then, the overall interest Tito will have to pay at the end of 4th year  = \((\frac{10000*12*4}{100}) = (100*12*4)=(48*100)=4800\)

And total amount to be paid to repay and close of the loan at the end of 4th year will be = $[4800 + 10000] = $14800.

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Answer:

Trapezoid

Step-by-step explanation:

It's a quadrilateral and it only has one pair of parallel sides.