-12.2x - 13.4x = -179.2 what does x equal

Answer:

35 degrees.

Step-by-step explanation:

It's a reflective sideway triangle.

Answer:

x = 35° :)

Step-by-step explanation:

x is 35° because of the vertical angle

The length of side s is 11.7 cm (to a tenth of a cm).

The sine function in trigonometry is defined as the ratio of the length of the opposite side to the length of the hypotenuse in a right-angled triangle. A right triangle's unknown angle or sides are determined using the sine function.

Given:

In right angled triangle ΔVST,

Length of side VS = 5.3 cm

Length of side VT = s cm

The measure of ∠VTS = 27°

Using the sine function of Trigonometry,

sin θ =  VS/VT

sin 27° =  5.3/s

s = 5.3/0.454  (sin 27° ≈ 0.454)

s ≈ 11.7 cm (to a tenth of a cm)

Therefore, the length of side s is 11.7 cm.

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Answer:

Step-by-step explanation:

-9, -8, -4, 6, 9

Answer:

Therefore, the book value of the equipment at the end of year four (including year four) is $2,880.

Step-by-step explanation:

To calculate the book value of the equipment at the end of year four using the MACRS method with GDS recovery period of five years, we can use the following steps in Excel:

1. Open a new Excel spreadsheet and create the following headers in row 1: Year, Cost, Depreciation Rate, Annual Depreciation, Cumulative Depreciation, and Book Value.

2. Fill in the Year column with the years 1 through 6 (since the truck has a life of six years).

3. Enter the cost of the truck, $12,000, in cell B2.

4. Use the following formula in cell C2 to calculate the depreciation rate for each year:

=MACRS.VDB(B2, 5, 5, 1, C1)

This formula uses the MACRS.VDB function to calculate the depreciation rate for each year based on the cost of the truck (B2), the GDS recovery period of five years, the useful life of six years, the salvage value of $2,000, and the year (C1).

5. Copy the formula in cell C2 and paste it into cells C3 through C7 to calculate the depreciation rate for each year.

6. Use the following formula in cell D2 to calculate the annual depreciation for each year:

=B2*C2

This formula multiplies the cost of the truck (B2) by the depreciation rate for each year (C2) to get the annual depreciation.

7. Copy the formula in cell D2 and paste it into cells D3 through D7 to calculate the annual depreciation for each year.

8. Use the following formula in cell E2 to calculate the cumulative depreciation for each year:

=SUM(D$2:D2)

This formula adds up the annual depreciation for each year from D2 to the current row to get the cumulative depreciation.

9. Copy the formula in cell E2 and paste it into cells E3 through E7 to calculate the cumulative depreciation for each year.

10. Use the following formula in cell F2 to calculate the book value of the equipment for each year:

=B2-E2

This formula subtracts the cumulative depreciation for each year (E2) from the cost of the truck (B2) to get the book value.

11. Copy the formula in cell F2 and paste it into cells F3 through F7 to calculate the book value for each year.

12. The book value of the equipment at the end of year four (including year four) is the value in cell F5, which should be $2,880.

Step-by-step explanation:

Let A be the tens digit of the number and B be the ones digit.

We have A + B = 10 and 10A + B - 36 = 10B + A.

=> A + B = 10 and 9A - 36 = 9B

=> A + B = 10 and A - 4 = B

=> A + B = 10 and A - B = 4

Therefore 2A = 10 + 4 = 14,

A = 7 and B = 10 - 7 = 3.

Hence the number is 73.

Answer:

5

Step-by-step explanation:

Answer: 6.87

Step-by-step explanation:

21.2 / 145.65

Move to the decimal to the right 1 time to make 21.2 to 212 and 145.65 to 1456.5.

Then you want to look for a number you can multipl 212 into the 1456.

In this case, 212 times 6 because it equals 1272.

If you multiply 212 times 7, you get 1484 (which is over the number of 1456 { we dont want that}).

Then you continue multiplying the number until you get to 0, or in other words, a remainder. In which I got, 6.870

Answer: 5.6

Step-by-step explanation:

the opposite of an negative number...

So your answer would be....

        =5.6

Answer:

\(5.6\) or \(\dfrac{1}{-5.6}\)

Step-by-step explanation:

The additive inverse of \(-5.6\) is \(-1 \cdot -5.6 = \boxed{5.6}\)

or...

If you mean the multiplicative inverse of  \(-5.6\), then the answer would be \(\dfrac{1}{-5.6}\)

In order to change the ratio of toddlers to infants from 7 to 3 to 7 to 5, with an increase of 12 more infants, the number of toddlers in the daycare center has to be 42

Let the coefficient of the ratio be x

Therefore, before the addition of the 12 infants

the number of toddlers = 7x

number of infants = 3x

After the addition of 12 infants

the number of toddlers = 7x

the number of infants = 3x+12

According to the question, new ratio = 7 : 5

\(\frac{7x}{3x+12}=\frac{7}{5}\)

5(7x) = 7(3x+12)

35x = 21x + 84

35x - 21x = 84

14x = 84

x = 6

Therefore, the original number of infants = 3 * 6 = 18

the number of toddlers = 7x = 7 * 6 = 42

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If twelve more infants join the day care to change the ratio to 7 to 5, then 126 toddlers are there at this day care center.

Let's first set up the initial ratio using variables: let T represent the number of toddlers and I represent the number of infants. The ratio of toddlers to infants is 7 to 3, so we can write:

T/I = 7/3

To solve for the actual number of toddlers and infants, we need more information. We are told that twelve more infants join the day care, so the new number of infants is I + 12. The new ratio is 7 to 5, so we can write:

T / (I + 12) = 7/5

Now we have two equations with two unknowns, so we can solve for T. First, we can use the initial ratio to solve for I in terms of T:

T/I = 7/3

3T = 7I

I = (3/7)T

Now we can substitute this expression for I into the second equation:

T / (I + 12) = 7/5

T / ((3/7)T + 12) = 7/5

Multiplying both sides by ((3/7)T + 12) gives:

T * (7/5) = ((3/7)T + 12) * (7/5)

Simplifying:

21T / 35 + 84 / 5 = 49T / 35

84 / 5 = 28T / 35

Solving for T:

T = (84/5) * (35/28)

T = 126

Therefore, there are 126 toddlers at this day care center.

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Answer:

4

Step-by-step explanation:

First, substitute in g and h:

4-(0.25x10)+(0.5x5)

4-2.5+2.5

Then -2.5 and +2.5 cancel out, so you are left with:

4

ANSWER:

STEP-BY-STEP EXPLANATION:

To complete the table, we substitute the value of x in the function, just like this:

The required equation function j which is the transformation of \(f(x)= x^{1/2}\) is  \(j(x)= (x+2)^{1/2}\) .

As we can see in the graph the functions j and f are similar but the graph of j is 2 units left of f. So, function f(x) has a domain of real number greater than equal to zero, while as the function j is 2 units left of f then its equation is given as  \(j(x)= (x+2)^{1/2}\)  where the domain of j is all real numbers greater then or equal to -2.

Thus, the equation of function j is the transformation of \(f(x)= x^{1/2}\) is  \(j(x)= (x+2)^{1/2}\) .

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In the question the graph is missing, a graph has been added on behalf of the incomplete question.

I give u the answers of first and second one.

thank you

brainlist please

Answer:

First answer is 9 or 1 . Second answer is 7 or -7.

Step-by-step explanation:

\((x-5)^{2} =16\)

\(x-5 = 4\)  or \(x - 5 =-4\)

so \(x = 9\) or \(x = 1\)

\(2x^{2} = 98\)

\(x^{2} =49\)

\(x=7\) or \(x = -7\)

Raw data can be calculated by using mathematical operations such as addition, subtraction, multiplication, and division.

This can be done manually or by using a calculator or a computer program .Additionally, statistical methods such as mean, median, mode, and standard deviation can be used to calculate raw data.Raw data can also be manipulated in various ways. For example, data can be sorted, filtered, and organized into categories or hierarchies. Data can also be visualized in graphs, charts, and diagrams to make patterns and trends easier to identify. Statistical methods such as correlation and regression can also be used to analyze and interpret raw data. Additionally, data can be combined with other data sets to create new insights and relationships. Finally, machine learning and predictive analytics can be used to make predictions about future outcomes based on existing data.

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It will take all three pumps, Working together, 1.56 minutes to fill the pool.

The given information, we can write three equations as follows:

1) (1/A + 1/B)*35 = C  ---(Equation 1)

2) (1/B + 1/C)*40 = C  ---(Equation 2)

3) (1/A + 1/C)*56 = C  ---(Equation 3)

We want  how many minutes it will take all three pumps, working together, to fill the pool, so let's represent the time taken by all three pumps working together as "t".

When all three pumps work together, they can fill the pool in one minute, so their combined rate is 1/C.

Using the rate formula, we can write the following equation:

1/A + 1/B + 1/C = 1/t   ---(Equation 4)

We have four unknowns (A, B, C, and t), so we need to solve for one of them to get the answer. Let's solve for "t".

First, we can simplify Equations 1, 2, and 3 as follows:

1) 1/A + 1/B = C/35

2) 1/B + 1/C = C/40

3) 1/A + 1/C = C/56

Next, we can substitute these equations into Equation 4 to get:

(C/35) + (C/40) + (C/56) = 1/t

Now, we can simplify and solve for "t":

LCD = 39200

1120C + 980C + 700C = 39200

2800C = 39200

C = 14

Substituting this value of "C" into any of the simplified equations, we can solve for "A" and "B". Let's use Equation 1:

1/A + 1/B = 14/35

5(A+B) = 98

A+B = 19.6

Now we can use A+B+C = 1/t to solve for "t":

t = 1 / (A+B+C) = 1 / (19.6 + 14) = 0.026 hours = 1.56 minutes

Therefore, it will take all three pumps, working together, 1.56 minutes to fill the pool.

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Answer:

x = 33

Step-by-step explanation:

The sum of the angles of a triangle are 180 degrees

x+114+33 = 180

Combine like terms

x+147 = 180

Subtract 147 from each side

x+147-157 = 180-147

x = 33

Answer:

x=33

Step-by-step explanation:

The interior angles of a triangle must add up to 180 degrees. Therefore, the 3 angles inside the triangle should add to 180.

x+114+33=180

Combine like terms by adding 114 and 33

x+147=180

In order to solve this equation, we must get x isolated. Perform the inverse operation to both sides.

x+147=180

147 is being added on to x. The inverse of addition is subtraction. Subtract 147 from both sides.

x+147-147=180-147

X=180-147

x=33

x is equal to 33 degrees.

The roots of the quadratic equation 0 = 2x² + 12x-14 is (C) x=-7 and x=1.

Any equation in algebra that can be written in the standard form where x stands for an unknown value and a, b, and c stand for known values is said to be a quadratic equation.

In general, it is assumed that a > 0; equations with a = 0 are regarded as degenerate since they become linear or even simpler.

So, the roots of 0 = 2x² + 12x-14 are:

2x² + 12x-14  = 0

2x² + 14x - 2x -14

2x(x + 7) - 2(x + 7)

(2x - 2) (x + 7)

Now, use the zero product property as follows:

2x - 2 = 0

2x = 2

x = 2/2

x = 1

And

x + 7 = 0

x = -7

Therefore, the roots of the quadratic equation 0 = 2x² + 12x-14 is (C) x = -7 and x = 1.

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Correct question:

What are the roots of the quadratic equation 0 = 2x² + 12x-14?

a. 1,6, -7

b. 2,12,-14

c. -7,1

d. -1,7

Answer:

1/4 x + 1/8 y = 14

Step-by-step explanation:

Answer:

It is D, I just did it :)

Step-by-step explanation:

Edge 2022

The unknown value of x and y from the attached picture of a square is 8 and 11 respectively.

A square is a four sided polygon with 4 equal angles and length.

The fourth corner = 90° - 36°

= 54°

Recall,

Alternate angles are equal

So,

(4x + 4)° = 36°

substract 4 from both sides

4x = 36 - 4

4x = 32

divide both sides by 4

x = 32/4

x = 8

(4y + 10)° = 54°

substract 10 from both sides

4y = 54 - 10

4y = 44

divide both sides by 4

y = 44/4

y = 11

In conclusion, the value of the following given equations are:

(4x + 4)° = 36°

4(8) + 4 = 36

32 + 4 = 36

36° = 36°

(4y + 10)° = 54°

4(11) + 10 = 54

44 + 10 = 54

54 ^= 54°

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The probability that the total sum of all rolls does not exceed 375 is approximately 0.7165

Assuming the die is a fair six-sided die, the possible outcomes for each roll are numbers 1 through 6, each with a probability of 1/6.

Let X be the total sum of all rolls. Then X follows a discrete uniform distribution with parameters n = 104 (number of rolls) and a = 1 (minimum value of each roll). The expected value of X is:

E(X) = n × (a + b) / 2 = 104 × (1 + 6) / 2 = 365

The variance of X is

Var(X) = n × (b - a + 1)^2 / 12 = 104 × 6^2 / 12 = 312

The standard deviation of X is

SD(X) = sqrt(Var(X)) = sqrt(312) = 17.67

To calculate the probability that the total sum of all rolls does not exceed 375, we need to calculate the cumulative distribution function (CDF) of X and evaluate it at 375

P(X <= 375) = F(375)

where F(x) = P(X <= x) is the CDF of X.

Using the normal approximation to the binomial distribution, we can approximate X as a normal distribution with mean E(X) = 365 and standard deviation SD(X) = 17.67

Z = (X - E(X)) / SD(X)

Z follows a standard normal distribution with mean 0 and standard deviation 1.

P(X <= 375) = P(Z <= (375 - E(X)) / SD(X))

= P(Z <= (375 - 365) / 17.67)

= P(Z <= 0.566)

Using a standard normal distribution table or a calculator, we can find that P(Z <= 0.566) is approximately 0.7165.

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The given question is incomplete, the complete question is :

A die is continuously rolled 104 times. what is the probability that the total sum of all rolls does not exceed 375 ?

Answer:

$54.01

Step-by-step explanation:

All you have to do is $300.00-$245.99 .

None of the given option is equivalent to 6 \(\sqrt81x^{4}y^{8}\).

squares are the products of numbers which comes out when the no. is multiplied by itself twice .

and square root helps to find the no. which is multiplied twice to get that no. inside the root.

6 \(\sqrt81x^{4}y^{8}\)

= 6 * 9 \(x^{2} y^{4}\)

= 54 \(x^{2} y^{4}\)

Since from the given option none of the option is equivalent to 6 \(\sqrt81x^{4}y^{8}\)

because you can see that all of the option are given in cube roots but the question is in square root .

so , there are two possibilities that maybe the question is typed wrong or the options are incorrect . But if everything present in the question is correct then none of the given values are equivalent to the given expression.

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The formula for the degrees of freedom is as follows: df = n1 + n2 - 2where n1 and n2 are the sample sizes of the two populations. Therefore, the correct answer is c. n1 + n2 - 2.

In testing for differences between the means of two related populations where the variance of the differences is unknown, the degrees of freedom are n1 + n2 - 2.The degrees of freedom are very important in statistics, as they tell you how much you can trust your results. The degrees of freedom are related to sample size and are used in various statistical tests, including t-tests and chi-square tests. In this particular case, we are interested in testing for differences between the means of two related populations where the variance of the differences is unknown.In this case, we use a t-test to compare the means of the two populations. The formula for the t-test is as follows:t = (x1 - x2) / (s / √n)where x1 is the mean of the first population, x2 is the mean of the second population, s is the standard deviation of the differences between the two populations, and n is the sample size.

In order to calculate the t-value, we need to know the degrees of freedom. The formula for the degrees of freedom is as follows:df = n1 + n2 - 2where n1 and n2 are the sample sizes of the two populations. Therefore, the correct answer is c. n1 + n2 - 2.

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Answer:

i cant see pic

Step-by-step explanation:

Answer:     17

Step-by-step explanation:

Answer:

92

Step-by-step explanation:

The unit rate of ingredient C and ingredient D is 3/8 and 4/9 cup per serving respectively.

The ingredient with the lower unit rate is ingredient C.

Ingredient C:

1/4 cup for 2/3 serving

Unit rate = Number of cup / Number of servings

= 1/4 ÷ 2/3

Multiply by the reciprocal of 2/3

= 1/4 × 3/2

= 3/8 cup per serving

Ingredient D:

1/3 cup for 3/4 serving

Unit rate = Number of cup / Number of servings

= 1/3 ÷ 3/4

Multiply by the reciprocal of 3/4

= 1/3 × 4/3

= 4/9

Therefore, the ingredient with the lower unit rate is ingredient C.

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The total number of visitors to the zoo that day=3980.

Given:

cost of each ticket for an adult=$25

cost of each ticket for an adult=$10

Total ticket sales one day=$47,750.

⇒$25+$10=47,750

⇒25+10=47,750-----(1)

Also,

c=6a+270

6a-c=-270------(2)

multiplying eq(2) with 10 we get:

60a-10c=-2700----(3)

Adding eq(1) and eq(3) we get

25a+10c=47,750

60a-10c=-2700

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

85a=45050

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

To calculate a value just divide 45050 by 85 we get

a=45050/85

a=530

Now to get the value of c substitutes a value.

c=60(530)+270

c=3450

Number of Adult visitors=530

Number of children visitors=3450

Total Number of visitors=3980.

Therefore, the total number of visitors to the zoo that day=3980.

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