Suppose that the functions u and w are defined as follows.u(x) = x +7w(x) = x+8

Just add the powers while it is multiply

-1+(-3)

= -1 - 3

= -4

So it is \(2^{-4}\)

(a) The correct option is (A)

(b) The correct option is (B)

The root of a number n is another number, when multiplied by itself a given number of times, equals n.

(a)

The given term is,

-11+√10

Since, The value of √10 =3.1622

-11+√10  = -11+3.1622

              = -7.8377

              = -7.83(approx)

The answer is -7.83.

(b)

The given term is,

(11-(2/5)×5)² + (1-4)²

=(11-2)²+(-3)²

= 9²+9

= 81+9

= 90

The Answer is 90.

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The area of the triangle MNO to the nearest tenth of an inch is 14.2 inches².

Given a triangle MNO.

It is given two sides and the included angle of the triangle.

The area of a SAS triangle can be found using the formula,

Area = \(\frac{1}{2}\) × ab × sin (C)

where a and b are the given sides and C is the included angle.

Here the given sides are,

n = 7.3 inches and o = 4.4 inches

Included angle is,

∠M = 118°

Using the formula,

Area = \(\frac{1}{2}\) × no × sin (M)

        =  \(\frac{1}{2}\) × (7.3)(4.4) × sin (118°)

        =  \(\frac{1}{2}\) × (7.3)(4.4) × 0.883

        = 14.18 ≈ 14.2 inches²

Hence the required area is 14.2 inches².

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Answer:

4x² + 22x - 12

Step-by-step explanation:

A = bh/2

A = (4x - 2)(2x + 12)/2

A = (8x² + 48x - 4x - 24)/2

A = (8x² + 44x - 24)/2

A = 4x² + 22x - 12

The quotient of the expressions −48.132 and −0.84 will be 57.30. Then the correct option is C.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Division means the separation of something into different parts, sharing of something among different people, places, etc.

Given −48.132 ÷ −0.84.

Then the value of the expression will be

⇒ −48.132 / −0.84

If in the numerator and the denomination, the negative sign is present, then both will cancel out each other.

⇒ 48.132 / 0.84

⇒ 57.30

The quotient of the expressions −48.132 and −0.84 will be 57.30.

Then the correct option is C.

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Answer:

hyee

Step-by-step explanation:

hope this helps :)

The slope intercept form of the given equation is,

y = 5x - 1/4

Given an equation of a line as,

5x - y = 1/4

We have to write the equation of the line in slope intercept form.

Equation of the line in slope intercept form is,

y = mx + c

Here m is the slope and c is the y intercept.

Rearranging the given equation,

5x = y + 1/4

5x - 1/4 = y

or,

y = 5x - 1/4

Hence the slope intercept form is y = 5x - 1/4.

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Answer:

n+3

Step-by-step explanation:

1/2 × 2(n+3)=n +3

I hope this helps

Answer:

Step-by-step explanation:

Let walnuts = x, chocolate chips = y

Set a system and solve:

Double the first equation and subtract the second one from it:

Find the value of x:

Answer:

a. The estimated coefficient for size is approximately \(s =13.8096595404\)

b The number of  predictors are 2

Step-by-step explanation:

From the table we can see that

   The standard error of size is  \(e = 1.2072436\)

  and the test statistics of size is \(T_s = 11.439\)

The estimated coefficient for size is evaluated as

        \(s=e * T_s\)

=>    \(s =1.2072436\cdot 11.439\)

=>        \(s =13.8096595404\)

The number of predictors are two and this include size and FP

The domain and range of the graph above in interval notation include the following:

Domain = [-6, 3]

Range = [-3, 3]

In Mathematics and Geometry, a domain refers to the set of all real numbers (x-values) for which a particular function (equation) is defined.

In Mathematics and Geometry, the horizontal portion of any graph is used to represent all domain values and they are both read and written from smaller to larger numerical values, which simply means from the left of any graph to the right.

By critically observing the graph shown in the image attached above, we can reasonably and logically deduce the following domain and range:

Domain = [-6, 3] or -6 ≤ x < 3.

Range = [-3, 3] or -3 < y < 3

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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.

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Answer:

A, C, E

Step-by-step explanation:

- (3/4) = -3/4

A: A is correct because it is the same equation as above.

B: -3/-4

The negatives cancel out each other, so it would just be 3/4, which is not the same as -3/4, so B is incorrect

C: -3/4 is equal to -3/4, so C is correct

D: -(-3/4)

The negative signs cancel each other out, so it equals 3/4. D is incorrect

E: 3/-4 = -3/4, so E is correct

Using proportional reasoning, we can predict that there will be 40 red candies in the large bag.

Using proportional reasoning, we can set up and solve the following equation to determine the number of red candies in the large bag:

P = Proportion of red candies in the large bag

R = Red candies in the small bag

R × (33/9) = P

12 × (33/9) = P

P = 40 red candies in the large bag

Therefore, using proportional reasoning, we can predict that there will be 40 red candies in the large bag.

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Answer: There are multiple ways that a function, g, could satisfy the given domain, range, and values of g(0) and g(-9). ✅

PLEASEEEE GIVE BRANLIEST

Step-by-step explanation:

There are multiple ways that a function, g, could satisfy the given domain, range, and values of g(0) and g(-9). One statement that could be true for g is:

g(x) = 2x + 8

This function has a domain of -20 ≤ x ≤ 5 and a range of -5 ≤ g(x) ≤ 45. It also satisfies the values of g(0) = -2 and g(-9) = 6.

It's important to note that this is only one possible function that satisfies the given information and there are many other functions that could also work such as:

g(x) = 3x -2

g(x) = -2x +10

g(x) = x+5

So the statement that could be true for g is that "There are multiple ways that a function, g, could satisfy the given domain, range, and values of g(0) and g(-9)."

*Keep in mind you didn't specify a specifc statement to verify false or true*

Answer:

Area of the shaded polygon= 372

Answer:

0.57

Step-by-step explanation:

The 7 is in the hundredths place. Next to it is a 4. 4 does not round up, therefore making the answer 0.57.

here's half of them:

1: 15 - (3r) = 6

2: q + 4f = 29

3: \(n^{2}\) + 12 = p/4

4: 0.5j - 5 = k + 13

for the rest, just know that:

sum means addition

times/product means multiplying

quotient means division

less than means subtraction

Answer:

b,c and d are the answers

Step-by-step explanation:k12

Expressions (B), (C), and (D) are all equivalent to the given expression 1.3−4x−3.7.

So, the expressions equivalent to 1.3−4x−3.7 are:

Solve: 1.3−4x−3.7

Now, calculate for - 2.4 - 4x:

(A) −0.6−4−x:

(B) −4(x+0.6)

(C) −x−x−x−x−2.4

(D) −4x−2.4

Therefore, expressions (B), (C), and (D) are all equivalent to the given expression 1.3−4x−3.7.

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Correct question:
Which expressions are equivalent to 1.3−4x−3.7?

Select all correct answers.

(A) −0.6−4−x

(B) −4(x+0.6)

(C) −x−x−x−x−2.4

(D) −4x−2.4

Answer:

I don't see any words or anything did u attach something ???

Step-by-step explanation:

The values of a and b using the factor theorem for the polynomial f(x), we set f(1) and f(-1) equal to zero. Solving the resulting system of equations, we find that a = 12 and b = -1.

To find the values of a and b using the factor theorem, we need to use the given factors (x - 1) and (x + 1) and the fact that they are roots of the polynomial f(x).
The factor theorem states that if (x - c) is a factor of a polynomial, then f(c) = 0. Therefore, we can set x = 1 and x = -1 in the polynomial f(x) to get two equations.
First, let's substitute x = 1 into f(x):
f(1) = (1)^3 + a(1)^2 + b(1) - 12
f(1) = 1 + a + b - 12
Next, let's substitute x = -1 into f(x):
f(-1) = (-1)^3 + a(-1)^2 + b(-1) - 12
f(-1) = -1 + a - b - 12
Since (x - 1) and (x + 1) are factors, f(1) and f(-1) must equal zero. Therefore, we can set the two equations equal to zero and solve for a and b:
1 + a + b - 12 = 0
-1 + a - b - 12 = 0
Rearraning the equations, we have:
a + b = 11
a - b = 13
Now, we can solve this system of equations. Adding the two equations, we get:
2a = 24
a = 12
Substituting the value of a into one of the equations, we find:
12 - b = 13
b = -1
Therefore, the values of a and b are 12 and -1 respectively.

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Answer:

X=1

Step-by-step explanation:

3x+1=4

3x=4-1

3x=3

x=1

Answer:

1.99%. (2% rounded)

Step-by-step explanation:

The total number of ways to select 4 children out of 40 is given by the combination formula:

C(40,4) = 40! / (4! * (40-4)!) = 91,390

The number of ways to select 4 girls out of 16 is given by the combination formula as well:

C(16,4) = 16! / (4! * (16-4)!) = 1,820

Therefore, the probability of selecting 4 girls out of the group of 40 children is:

P(4 girls) = C(16,4) / C(40,4) = 1,820 / 91,390 ≈ 0.0199 or 1.99%

So the probability that all 4 helpers will be girls is approximately 1.99%

Hope this helps!.

The present value of the annuity is approximately `7032.08. The correct answer is option (d) None of these.

To find the present value of an annuity, we can use the formula:

PV = PMT * (1 - (1 + r)^(-n)) / r

Where PV is the present value, PMT is the periodic payment, r is the interest rate per period, and n is the number of periods.

In this case, the periodic payment is `200, the interest rate is 5% (or 0.05) converted quarterly, and the number of periods is 10 years, which equals 40 quarters.

Plugging in these values into the formula, we get:

PV = 200 * (1 - (1 + 0.05)^(-40)) / 0.05

Simplifying the equation, we find:

PV ≈ 200 * (1 - 0.12198) / 0.05

PV ≈ 200 * 0.87802 / 0.05

PV ≈ 35160.4 / 0.05

PV ≈ 7032.08

Therefore, the present value of the annuity is approximately `7032.08.

None of the provided answer options (a), (b), or (c) match this result. The correct answer is (d) None of these.

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The given information tells us that Terry's wins-to-races ratio is 2:3, but we cannot determine the exact number of races he has won without additional information about the total number of races he has participated in.

If the ratio of the number of times Terry has won to the number of races he has swum in is 2:3, we can set up a proportion to determine the number of races he has won.

Let's denote the number of times Terry has won as x, and the total number of races he has swum in as y. According to the given ratio, we have:

x/y = 2/3

To find the value of x, we need to solve for x when y is known. Since y represents the total number of races, we don't have that information in the given problem. Therefore, we cannot determine the exact number of races Terry has won without knowing the total number of races he has participated in.

The ratio tells us the relationship between the number of wins and the total number of races, but without knowing the denominator (total races), we cannot find a specific value for the numerator (number of wins). We can only determine the ratio between the two quantities.

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The perimeter of the rectangle is 4h + 6

An algebraic expression can be defined as an expression that is composed of terms, variables, coefficients, constants and factors.

These expressions are also made up of arithmetic operations, such as;

The formula for calculating the perimeter of a rectangle is expressed as;

Perimeter = 2( l + h)

Where;

l = 3 + h

Substitute the values

Perimeter = 2( 3 + h+ h)

expand the bracket

Perimeter = 2(3 + 2h)

Perimeter = 4h + 6

Hence, the expression is 4h + 6

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a. It will take 7 months to pay off the credit card.

b. it will take 4 months to pay off the credit card.

Since, APR stands for Annual Percentage Rate. It is the interest rate charged on a loan or credit card, expressed as a yearly percentage rate. The APR takes into account not only the interest rate, but also any fees or charges associated with the loan or credit card.

a. If you put half of the available money each month toward the credit card, then you are paying $150.00 per month towards the credit card balance.

We can use the formula for the present value of an annuity to find how many months it will take to pay off the credit card:

PV = PMT × ((1 - (1 + r)⁻ⁿ) / r)

where:

PV is the present value of the debt

PMT is the payment amount per period

r is the monthly interest rate

n is the number of periods

Substituting the values, we get:

754.43 = 150 × ((1 - (1 + 0.011333)⁻ⁿ) / 0.011333)

Simplifying and solving for n, we get:

n = log(1 + (PV ×r / PMT)) / log(1 + r)

n = log(1 + (754.43×0.011333 / 150)) / log(1 + 0.011333)

n = 6.18

Therefore, it will take 7 months to pay off the credit card if you put half of the available money each month toward the credit card.

b. If you put all of the available money each month toward the credit card, then you are paying $300.00 per month towards the credit card balance.

754.43 = 300 ×((1 - (1 + 0.011333)⁻ⁿ) / 0.011333)

Simplifying and solving for n, we get:

n = log(1 + (PV × r / PMT)) / log(1 + r)

n = log(1 + (754.43× 0.011333 / 300)) / log(1 + 0.011333)

n = 3.43

Therefore, it will take 4 months to pay off the credit card if you put all of the available money each month toward the credit card.

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