Find the surface area of the triangular prism shown below. 5x6x7

Answer:

Step-by-step explanation: get smarter

The formula ax + by = c for y = \(y = \frac{c}{b}- \frac{ax}{b}\).

Given formula:

ax + by = c

Subtract ax

from both sides of the equation.

by = c − ax

Now divide each term in by= c − ax by b and simplify.

Divide each term in by = c − ax by b.

\(\frac{by}{b} = \frac{c}{b} +\frac{-ax}{b}\)

Simplify the left side.

Cancel the common factor of b.

Cancel the common factor and divide y by 1.

\(y = \frac{c}{b} +\frac{-ax}{b}\)

Now Simplify the right side.

\(y = \frac{c}{b}- \frac{ax}{b}\)

Hence the answer is the formula ax + by = c for y = \(y = \frac{c}{b}- \frac{ax}{b}\).

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Answer: $20.

Step-by-step explanation: The price of onions was $32 per kg, this price decreased by $12, so you need to subtract 12 from 32. 32 - 12 is $20.

The question that is a statistical question is "How many miles did your family drive last week?"

A statistical question is a question that requires collecting and analyzing data to answer.

It involves investigating a specific variable or variables and determining patterns, trends, or relationships within the data.

The question "How many miles did your family drive last week?" is statistical, as it involves collecting and analyzing data related to a specific variable (miles driven) over a certain period of time (last week).

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Based on the Alternate Interior Angles Theorem, the degree measure of angle 3 is equal to 153.

Parallel lines can be defined as two (2) lines that are always the same (equal) distance apart and never meet.

The Alternate Interior Angles Theorem states that when two (2) parallel lines are cut through by a transversal, the alternate interior angles that are formed are congruent.

Since line a and m are parallel lines, angle 4 and 6 are alternate interior angles. By applying the supplementary angle theorem, the measure of angle 6 is given by:

Q + R = 180°

153° + m<6 = 180°

Angle 6 = 180° - 153°

Angle 6 ≡ Angle 4 = 17°

Now, we can determine the degree measure of angle 3 by applying the supplementary angle theorem:

Q + R = 180°

17° + m<3 = 180°

Angle 3 = 180° - 17°

Angle 3 = 153°

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The sum of the angles in a parallelogram is 360°.

a+b+c+d=360°

The opposite angles in the parallelogram are congruent.

a=c

b=d

So if a=24°... and we know a=c, then c=24°.

a=24

c=24

b=?

d=?

a+b+c+d=360°

plug in the data we know

24+b+24+d=360

48+b+d=360

b+d=312

If b+d=312, and we know that they are congruent, then to find their values just divide 312 by 2

312/2=156°

b=156°

d=156°

The sum of the angles in a parallelogram is 360°. - 1

The domain and range of \(f(x) = \frac{x^{2}+ 6x+8}{x+4}\) is  D: {x ∊ ℝ | x ≠ −4}; R: {y ∊ ℝ | y ≠ −2} .

The domain of a function f(x) is set of the value of x for which it is defied and Range of function is set of values f takes .

The rational number  \(f(x) = \frac{p(x)}{q(x)}\) where p(x) and q(x) are polynomial in terms of x and q(x) ≠ 0 . The domain of rational number is set of values that do not cause denominator equal to zero .

The given function is :

\(f(x) = \frac{x^{2}+ 6x+8}{x+4}\)

we need to find domain and range of function,

For domain put denominator equals to zero

x+4 = 0

x = -4

so, domain is every real number except number making it zero

domain = (-∞,-4)∪(-4,∞) and x ≠ -4

For range ,factoring numerator

x²+6x+8 = x²+2x+4x+8

x(x+2)+4(x+2) = (x+4)(x+2)

Putting numerator back,

\(f(x) = \frac{(x+4)(x+2)}{x+4}\)

Cancelling factor (x+4) from numerator and denominator

\(f(x) = x+2\)

Putting x+2 = 0

\(x +2 = 0\\x = -2\)

range = (-∞,-2)∪(-2,∞) and f(x) ≠ -2

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D: {x ∊ ℝ | x ≠ −4}; R: {y ∊ ℝ | y ≠ −2}

I took the test

Nathaniel drinks 3 glasses of water in one hour.

To find out how many glasses of water Nathaniel drinks in one hour, we need to calculate his drinking rate per hour.

In 2 2/5 hours, Nathaniel drinks 4/5 of a 10-ounce glass of water.

Let's convert the mixed number of hours to an improper fraction:

\(2\frac{2}{5} = \frac{(5 \times2 + 2)}{5}\)

\(=\frac{12}{5}\)

Now, we can set up a proportion to find his drinking rate per hour.

We know that \(\frac{12}{5}\) hours corresponds to \(\frac{4}{5}\) of a glass of water.

Let's assign "x" as the number of glasses he drinks in one hour.

The proportion is then

\(\frac{(\frac{12}{5} hours) }{(x glasses) } =\frac{(\frac{4}{5} glass)}{(1 hour)}\)

Cross-multiplying gives us

\((\frac{12}{5} )\times1=\frac{4}{5}\times(x)\)

Simplifying, we get

\(\frac{12}{5} =\frac{4}{5}\times x\)

Dividing both sides by \(\frac{4}{5}\), we find x:

\(x=\frac{(\frac{12}{5} )}{\frac{4}{5} }\)

\(x=\frac{12}{4}\)

\(x = 3.\)

Therefore, Nathaniel drinks 3 glasses of water in one hour.

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(a) √2 · √8. The simplified surd expression is 4.

(b) √80. The simplified surd expression is  4√5.

(c) √5/√20. The simplified surd expression is  1/2.

(d) √20. The simplified surd expression is  2√5.

The given surd expression is simplified as follows;

(a) √2 · √8

we can simplify it as;

√2 · √8 = √(2 x 8) = √16 = 4

(b) √80

we can simplify it as;

√80 = √ (16 x 5) = √16  x √5 = 4√5

(c) √5/√20

we can simplify it as;

√5/√20  x  √20 / √20

= (√5  x √20 ) /(20)

= √100 / 20

= 10/20

= 1/2

(d) √20

we can simplify it as;

√20 = √4  x √5 = 2√5

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Answer:

c) 1

Step-by-step explanation:

Solving for the value of s,

→ 3s - 12 = -9

→ 3s = -9 + 12

→ s = 3/3

→ [ s = 1 ]

Thus, option (c) is correct.

The first number is 8.33 percent more than the second number.

Let m be the first number, n be the second number and p be the third number.

Two numbers are respectively twenty percent and ten percent more than a third number.

m = (100 + 20)% of p

m = 120 percent of p

m = 120 % of p

m = (120 / 100) × p

m = 1.2 p

And the second number would be,

n = (100 + 10)% of p

n = 110 percent of p

n = (110 / 100) × p

n = 1.1 p

We need to find by how much number the first number more than the second.

Consider the difference,

1.2 p - 1.1p = 0.1 p

So the required percentage noting but the difference is what percent of the first number.

(0.1 p / 1.2 p) × 100 = 8.33%

Therefore, the first number is 8.33 percent more than the second number.

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Answer:

19

Step-by-step explanation:

31 +9 =40

40 by 2 = 20

9-5=4

4 by 4= 1

20-1= 19

Answer:

what are you trying to ask? 2x2 is 4+4 is 8 that is 4 more than twice the number 2 if that is what you want to know

Step-by-step explanation:

4 more than twice what number?

The inverse function of f(x) = 3x + 5 is given as follows:

C. p(x) = 1/3x - 5/3.

The function in the context of this problem is defined as follows:

f(x) = 3x + 5.

To obtain the inverse function, first we must exchange the variables x and y, hence:

y = 3x + 5

x = 3y + 5.

Now we must isolate the variable y, hence:

3y = x - 5

y = (x - 5)/3.

p(x) = 1/3x - 5/3.

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Answer:

8.71

Step-by-step explanation:

the area that is shaded is a big shape then two smaller shapes taken out of it

that means you can find the area of the big shape ignoring that there are holes then subtract the area of the holes

big shape side length is 5*2

=10

small shape 1:

0.3*0.3

=0.09

small shape 2:

0.6*2

=1.2

10-(0.09+ 1.2)

10-(1.29)

=8.71

Answer:

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Step-by-step explanation:

Answer:

no

Step-by-step explanation:

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The value of the inverse of the equation is this: x³ -3 = y

To find the inverse of the equation follow these steps:

1. Replace H(x) with y.

y = (x + 4)³ - 1

2. Interchange the values of X and Y.

X = (y + 4)³ - 1

3. Find the cube root of both sides

x³ = y + 4  - 1

4. Find the value of y

x³ - 4 + 1 = y

x³ -3 = y

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1. The percentage of maize flour is given as 16.7 %

2. The common ratio of the GP is r = 1.5.

1. We have to set up equation

60x + 90(1 - x) = 85

60x + 90 - 90x = 85

now we have to solve for the value of x

-30x = -5

x = 5 / 30

x = 0.167

Hence percentage of maize flour is given as 16.7 %

2. a + ar = 20 (1)

ar + ar^2 = 30 (2)

We can rearrange equation (1) to get an expression for a:

a = 20 / (1 + r)

Now, we can substitute a into equation (2) to get an equation only in terms of r:

\(20r / (1 + r) + 20r^2 / (1 + r) = 30\\20r + 20r^2 = 30(1 + r)\\20r + 20r^2 = 30 + 30r\\20r^2 - 10r - 30 = 0\\2r^2 - r - 3 = 0\)

Solving this quadratic equation, we get:

We have two solutions, r = 1.5 and r = -1. But since the GP is increasing, we discard the negative solution. Therefore, the common ratio of the GP is r = 1.5.

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The number of tickets sold for students is 735.

A system of equations is a set of two or more equations with the same variables. A solution to a system of equations is a set of values for the variable that satisfy all the equations simultaneously.

Given that, 1415 concert tickets were sold for a total of $26,665. If students paid $15 and non students paid $23,

To solve this problem we will establish a system of equations,

Let the sold ticket for students be x, and that of non students be y,

x+y = 1415

y = 1415-x...(i)

15x + 23y = 26,665...(ii)

Substitute eq(i) in eq(ii)

15x + 23(1415-x) = 26665

15x + 32545 - 23x = 26665

8x = 5880

x = 735

Hence, the number of tickets sold for students is 735.

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10)

Given:

The cost of 8 ounces of shampoo is $0.89.

The cost of 12 ounces of shampoo is $1.47.

Required:

We need to find a better deal.

Explanation:

Consider the first deal.

The cost of 8 ounces of shampoo is $0.89.

Divide the cost of 0.89 by 8 to find the cost for one ounce.

Consider the second deal.

The cost of 12 ounces of shampoo is $1.47.

Divide the cost of 1.47 by 12 to find the cost for one ounce.

We know that $0.11125 is less than $0.1225.

The first deal is better than the second deal.

Final answer:

The best deal is,

The cost of 8 ounces of shampoo is $0.89.

Answer:

56

Step-by-step explanation:

7×8=56

Hope this helps! :)

Answer:

The answer is A

Step-by-step explanation:

Edg : )

Answer:

A

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

Let b and c represent the rates of the boat and current, respectively. Then the upstream rate is ...

  speed = distance/time

  b -c = (116 km)/(4 h) = 29 km/h

  b +c = (164 km)/(4 h) = 41 km/h

Adding these equations gives ...

  2b = 70 km/h

  b = 35 km/h

Substituting into the first equation, we have ...

  35 -c = 29

  c = 6

Rate of the boat: 35 km/h.

Rate of the current: 6 km/h

Answer:

6.5 yards of cord were bought

Step-by-step explanation:

234/36=6.5

Answer:

You didnt add a question, file or possible answer choices

The weight on the inflation gap has increased from 0.5 to 0.75. The real interest rate is 16.86% and Nominal interest rate is 20%

a. In the base scenario, the real interest rate will be 20%, and the nominal interest rate will be 20%.

b. In scenario B, inflation rate will be higher (4%) compared to the base scenario (3.14%).

Output gap is 0% in both the scenarios, however, in the base scenario inflation gap is 0% (3.14 - 3.14) and in scenario B, inflation gap is 0.86% (4 - 3.14).

Now, let's calculate the real interest rate.

Real interest rate in base scenario = 20% - 3.14%

= 16.86%.

Real interest rate in scenario B = 20% - 3.14% + 1.5 + 0.5 (4-3.14) + 0.5 (0-0/0)

= 19.22%.

The real interest rate has moved in the direction to move inflation rate towards its target.

c. In scenario C, the output gap will be 20% compared to 0% in the base scenario.

Inflation gap is 0% in both the scenarios

Inflation rate is 3.14% and in scenario C, inflation rate is 2%.

Let's calculate the real interest rate. Real interest rate in the base scenario = 20% - 3.14%

= 16.86%.

Real interest rate in scenario C = 20% - 2% + 1.5 + 0.5 (3.14 - 3.14) + 0.5 (20-0/20)

= 20.15%.

Real interest rate in scenario C = 20% - 2% + 1.5 + 0.75 (3.14-3.14) + 0.25 (20-0/20) = 18.78%.

The new policy rule has changed the weight of the output gap in the Taylor Rule from 0.5 to 0.25.

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