Evaluate the function f(x) = -2[x + 7| for the following inputs:
f(10)
f(-12)

we have a rectangle in another rectangle

we know the inner rectangle, the pool, but not the outer rectangle, the patio.

to find the outer rectangle, add 10 twice to each dimenision

so add 20

the patio AND the pool 28 by 32 feet

area of the patio is the total area minus pool

(28 * 32) - (8 * 12) = 800 sqft

Answer:

180:90

Step-by-step explanation:

The interest earned on the account is $5,750.53 when $50,000 is deposited for 2 years at an annual interest rate of 5.5% compounded monthly.

To calculate the interest earned on the account, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A = the final amount (including interest)

P = the principal amount (initial deposit)

r = the annual interest rate (as a decimal)

n = the number of times interest is compounded per year

t = the number of years

In this case, the principal amount (P) is $50,000, the annual interest rate (r) is 5.5% (or 0.055 as a decimal), the interest is compounded monthly (n = 12), and the money is left in the account for 2 years (t = 2).

Plugging these values into the formula, we have:

A = 50000(1 + 0.055/12)^(12*2)

Simplifying the equation, we get:

A = 50000(1 + 0.004583333333333333)^(24)

A = 50000(1.004583333333333333)^(24)

A = 50000(1.115010680047)

A = 55750.53400235

To find the interest earned, we subtract the principal amount from the final amount:

Interest = A - P

Interest = 55750.53400235 - 50000

Interest = 5750.53400235

Therefore, the interest earned on the account is $5,750.53 (rounded to two decimal places).

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Answer:

Area: 2,088 Perimeter: 202

Step-by-step explanation:

Since it's a rectangle, both small sides are going to be the same, and both long sides are going to be the same. So for perimeter add up 29+72+29+72 to equal 202. For area you just multiply 29 times 72:)

The fundamental question addressed by the correlational method is whether two or more variables are related in some systematic way. So the correct option is D.

Correlational method is a research technique used to explore the relationship between two or more variables. In this method, researchers collect data on the variables of interest and analyze their patterns of association. The fundamental question addressed by the correlational method is whether two or more variables are related in some systematic way. This means that researchers are interested in exploring whether changes in one variable are associated with changes in another variable.

For instance, a researcher may be interested in exploring the relationship between stress and job performance. The researcher may collect data on the levels of stress and job performance in a sample of employees and then use statistical analysis to determine if there is a systematic relationship between the two variables. If the results show that higher levels of stress are associated with lower levels of job performance, then the researcher can conclude that there is a negative correlation between the two variables.

It is important to note that correlation does not imply causation. While a correlation between two variables indicates that they are related, it does not necessarily mean that changes in one variable are causing changes in the other variable. Therefore, researchers must be cautious when interpreting correlational data and should consider other factors that may be influencing the relationship between variables.

Therefore, the fundamental question addressed by the correlational method is whether two or more variables are related in some systematic way, and researchers must be cautious when interpreting correlational data and should consider other factors that may be influencing the relationship between variables.

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The solution to the initial-value problem is:
\(y(x) = (5/6) e^(-4x) + (5/6) e^(x) + (17/6) e^(2x)\)

We first find the general solution to the associated homogeneous equation y'' + 3y' - 4y = 0. The characteristic equation is r^2 + 3r - 4 = 0, which has roots r = -4 and r = 1. Therefore, the general solution to the homogeneous equation is                 yh(x) = C1e^(-4x) + C2e^(x).

Next, we need to find a particular solution to the non-homogeneous equation y'' + 3y' - 4y = 17e2x. Since the right-hand side of the equation is of the form e^(mx), where m = 2, we guess a particular solution of the form yp(x) = A e^(2x). We then take the first and second derivatives of yp(x) to get yp'(x) = 2A e^(2x) and yp''(x) = 4A e^(2x).

Substituting yp(x), yp'(x), and yp''(x) into the original equation, we get:
\(4A e^(2x) + 6A e^(2x) - 4A e^(2x) = 17e^(2x)\)
Simplifying, we get:
6A e^(2x) = 17e^(2x)
Therefore, A = 17/6. Thus, a particular solution to the non-homogeneous equation is yp(x) = (17/6) e^(2x).
The general solution to the non-homogeneous equation is then y(x) = yh(x) + yp(x) = C1e^(-4x) + C2e^(x) + (17/6) e^(2x).
\(r^2 + 3r - 4 = 0\)

We first take the derivative of the general solution:

y'(x) = -4C1e^(-4x) + C2e^(x) + (34/6) e^(2x)
Plugging in the initial values, we get:
y(0) = C1 + C2 + (17/6) = 1
y'(0) = -4C1 + C2 + (34/6) = 1

Solving for C1 and C2, we get:
C1 = (5/6)
C2 = (5/6)
Therefore, the solution to the initial-value problem is:
y(x) = (5/6) e^(-4x) + (5/6) e^(x) + (17/6) e^(2x)

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The margin of error can be calculated as half the width of the confidence interval. So, the margin of error is:

(0.257 - 0.183) / 2 = 0.037

Therefore, the answer is (a) 0.037.
The margin of error for this confidence interval can be calculated by finding the difference between the upper bound and the lower bound, and then dividing by 2.

In this case, the confidence interval is (0.183, 0.257).

Margin of error = (0.257 - 0.183) / 2 = 0.074.

So the answer is b. 0.074.

The margin of error is a measure of the precision of an estimate or a statistic, often used in opinion polls and surveys. It represents the amount of sampling error that is expected in the results due to random variation.

In statistical terms, the margin of error is calculated as a range of values around the estimated statistic, within which the true population parameter is likely to fall with a certain degree of confidence. The most common way to express the margin of error is as a plus or minus value, typically represented as a percentage of the sample size.

For example, if a survey of 1,000 people finds that 60% of them support a particular political candidate, with a margin of error of +/- 3%, this means that there is a 95% chance that the true level of support in the population falls between 57% and 63%. In other words, if the survey were to be repeated many times, 95% of the resulting confidence intervals would contain the true level of support.

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The length of the base to the nearest inch is 37 inches

Given the following parameters from the questions:

Height of the ramp = 10in

angle of elevation = 15degrees

Using the SOH CAH TOA identity

tan 15 = opp/adj

tan 15 = 10/B

B = 10/tan15

B = 10/0.2679

B = 37 inches

Hence the length of the base to the nearest inch is 37 inches.

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An ordered set of numbers or objects in which the order helps you predict what will come next is called the pattern.

It is required to explain about ordered set.

What is an ordered set?

An ordered set is a relational structure (S,⪯) such that the relation ⪯ is an ordering. Such a structure may be: A partially ordered set (poset) A totally ordered set (toset).

solution:

An ordered set and if the ordering is so tricky that every non-empty set has a minimal value, then it is a well ordered set.

An ordered set!

ordered set” is ambiguous, since it can mean either a partially ordered set, in which an ordering exists but not all elements are ordered relative to one another, or a totally ordered set, in which every element is either  ≥  or  ≤  every other element.

Therefore, an ordered set of numbers or objects in which the order helps you predict what will come next is called the pattern.

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Answer:

C

Step-by-step explanation:

When you cross multiply 192 times 6 it equals 1152 and if you multiply 32 times 36 you get 1152 and 1152 is equal to 1152.

Answer:

The formula for finding the Circumference of a circle is: C = πd where d represents the diameter of the circle. The formula may also be written: C = 2πr where r is the radius of the circle. Example 1: The diameter of a circle is 16 cm.

Step-by-step explanation:

jayfeather friend me

brainliest

2.82

The statement, When two events are disjoint, they are also independent is false.

In a sample space, we can use probability laws to determine the probabilities of these events and how they relate to each other. Disjoint Events: Two events are non-overlapping or mutually exclusive if they have no common outcome. Mathematically, this can be written as, P(B ∩ A) = 0 --(1)

Independent Events: Events are independent when they do not "affect" the probability of another event occurring. Mathematically written as:

P(B/A) = P(B) P(A and B)

=> P(B ∩ A) = P(B) × P(A) --(2)

(1) ) and (2) events cannot be independent unless they overlap. That is, if events do not overlap, they are also dependent. Hence, disjoint events are not independent that means the above statement is false.

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Answer:

c=15

g=5

f=8

r=9

Step-by-step explanation:

Answer:

B z=3

Step-by-step explanation:

6(2-z) + 4 = 10

12 - 6z + 4 = 10

14 - 6z = 10

-6z = -4

OR

6(z-2) + 4 = 10

6z - 12 + 4 = 10

6z - 8 = 10

6z = 18

z = 3

Answer:

\(6(z - 2) + 4 = 10 \\ 6z - 12 + 4 = 10 \\ 6z - 8 = 10 \\ 6z = 18 \\ z = \frac{18}{6} \\ z = 3 \\ thank \: you\)

Answer:

b

Step-by-step explanation:

Answer:

Henry's cousin went to an audition.

Step-by-step explanation:

Answer:d

Step-by-step explanation:

The answer is d. None of the above is true.

To calculate velocity, we need to use the equation:

Velocity = M * P / Y

Given:

M = 1,000

P = 2.25

Y = 2,000

Plugging in the values:

Velocity = 1,000 * 2.25 / 2,000

Simplifying:

Velocity = 2.25 / 2

The result is:

Velocity = 1.125

Therefore, the correct answer is: d. None of the above is true.

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Answer:

1/5 decimal: 0.2

3/20 decimal: 0.15

8/25 decimal:0.32

3/50 decimal:0.06

9/20 decimal: 0.45

Answer:

0.2

0.15

0.32

0.06

0.45

Step-by-step explanation:

Turn the fractions into decimals by changing the place value

This looks like a quadratic equation!

Let's first rewrite the equation in the standard form (where the coefficients of x2 and x, as well as the constant term all have absolute values greater than 0)

ax^2 + bx + c = 0

And then use the Quadratic Formula to solve for x.

x = (-b ± √[b^2 - 4ac])/2a

Where a, b, and c are the coefficients of x^2, x, and 1, respectively.

Now, we just need to substitute the constants and solve for x!

-8x^2 + 10x + 15 = 0

a = -8

b = 10

c = 15

x = (-10 ± √[100 - 4(-8)(-15)])/2(-8)

x = (-10 ± √[100 - 240])/-16

x = (-10 ± √-140)/-16

x_1 = -7/16

x_2 = -7/16

Since x must be a real number, we can disregard x_2 and therefore the value of x is -7/16.

So the value of x is -7/16!

If -7/16 isn't the answer you were looking for, then try it in decimal form.

Answer: Let's first rewrite the equation in the standard form (where the coefficients of x2 and x, as well as the constant term all have absolute values greater than 0)

ax^2 + bx + c = 0

And then use the Quadratic Formula to solve for x.

x = (-b ± √[b^2 - 4ac])/2a

Where a, b, and c are the coefficients of x^2, x, and 1, respectively.

Now, we just need to substitute the constants and solve for x!

-8x^2 + 10x + 15 = 0

a = -8

b = 10

c = 15

x = (-10 ± √[100 - 4(-8)(-15)])/2(-8)

x = (-10 ± √[100 - 240])/-16

x = (-10 ± √-140)/-16

x_1 = -7/16

x_2 = -7/16

Since x must be a real number, we can disregard x_2 and therefore the value of x is -7/16.

So the value of x is -7/16!

If -7/16 isn't the answer you were looking for, then try it in decimal form.

wich is -0.4375

Step-by-step explanation:

Answer:

b Huda found the product of –3 and 9 as positive.

yeah-

Answer:

\(-x\:-\:1\:=\:221\:+\:2x\)

\(\hookrightarrow Answer:x=-74\)

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

hope it helps...

have a great day!!

Given:

Monthly membersihp fee is, m = $19.

Initial enrollment fee is, i = $75.

The objective is to write a cost expression and to fnd the cost for 8 months of membership.

From the given data, the enrollment fee is an one time payment. But the monthly membership fee is a variable cost with respect to number of months x.

Then, the expression can be represented as,

Here, y stands for cost, x stands for number of months.

Thus, the required cost expression is obtained.

To find the cost for 8 months, substitute x = 8 in the cost expression.

Hence, the cost for 8 months is $227.

we conclude that at 5:00 p.m. there are 8 more inches of snow than at 8:00 a.m.

We know that at 8:00 a.m. there were t inches of snow in the ground.

At 5:00 p.m. there were 3t inches of snow in the ground.

Then the difference between the heights of the snow is:

3t- t = 2t

And we know that at 5:00 p.m. there were 12 inches of snow then we can solve the linear equation for t:

3t = 12in

t = (12in)/3 = 4 in

Replacing that in the difference of heights:

2t = 2*4in = 8in

From this, we conclude that at 5:00 p.m. there are 8 more inches of snow than at 8:00 a.m.

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Answer:

the student messed up at the point of adding 5 to I5, they subtracted instead and got 2x=I0 which would mean x=5. when instead they should've added 5 and got 2x=20 and got x=I0

Answer:

19 miles

Step-by-step explanation:

If they had to ride 342 split by 18 horses, divide 342 by 18 to get 19

Answer:

They rode 19 miles before replacing each horse.

Step-by-step explanation:

This problem can be represented as:

\(\frac{342 miles}{18 horses}\)

To find the number of miles per horse simply divide 342 by 18. You will get your answer of:

\(\frac{19 miles}{1 horse}\)

Answer:

2 units

Step-by-step explanation:

Answer:

The answer is 2 units

Step-by-step explanation:

Line given

Comapre to y=mx+b

Parallel lines have equal slope

Equation in point slope form

Answer: 3 - x

Step-by-step explanation: With

Subtraction be careful. 3 - x is not the same as x - 3. You have to keep the values given in order.

The area of the shaded regions is: 44π

Area of a circle where "r" is the radius is determined using the formula: πr².

The figure given has three circles, namely:

The area of the shaded regions = Area of circle A - Area of Circle B + Area of Circle C

Area of Circle A = (π)(8)² = 64π

Area of Circle B = (π)(4)² = 16π

Area of Circle C = (π)(2)² = 4π

Thus:

The area of the shaded regions = 64π - 16π + 4π

The area of the shaded regions = 44π

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Given that nth partial sum is sn = a1 + a2 + ⋯ + an. Therefore, the difference of two consecutive partial sums is given as;sn − sn − 1 = (a1 + a2 + ⋯ + an) - (a1 + a2 + ⋯ + an−1)

By cancelling a1, a2, a3 up to an−1, we obtain;sn − sn − 1 = anIn other words, the nth term of a sequence is the difference between two consecutive partial sums. In a finite arithmetic sequence, the sum of the n terms is given asSn = (n/2)[2a1 + (n − 1)d] where; Sn is the nth term, a1 is the first term and d is the common difference.Substituting the given values;a1 = 1, d = 4, and n = 10Sn = (10/2)[2 × 1 + (10 − 1) × 4]Sn = (5 × 19 × 4) = 380Hence, the sum of the first ten terms of the sequence with first term 1 and common difference 4 is 380.

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