A wall of a building is made from blocks that are each one cubic foot the wall is 6 feet high and 6 feet wide. a window is made by removing some blocks as shown below the window is 2 feet high by 2 feet wide.what is the value of the wall after the window is made?

Answer:

x=-6

Step-by-step explanation:

You are given the equation

[tex]-\dfrac{1}{2}(3x-4)=11[/tex]

First, multiply it by 2 to get rid of fraction:

[tex]-(3x-4)=22[/tex]

Now open the brackets:

[tex]-3x+4=22[/tex]

Subtract 4 from both sides:

[tex]-3x+4-4=22-4\\ \\-3x=18[/tex]

Multiply it by -1:

[tex]3x=-18[/tex]

and divide by 3:

[tex]x=-6[/tex]

Answer:

[tex]\large\boxed{x=-6}[/tex]

Step-by-step explanation:

[tex]-\dfrac{1}{2}(3x-4)=11\qquad\text{multiply both sides by (-2)}\\\\(-2\!\!\!\!\1\diagup^1)\cdot\left(-\dfrac{1}{2\!\!\!\!\1\diagup_1}\right)(3x-4)=(-2)\cdot11\\\\3x-4=-22\qquad\text{add 4 to both sides}\\\\3x-4+4=-22+4\\\\3x=-18\qquad\text{divide both sides by 3}\\\\\dfrac{3x}{3}=-\dfrac{18}{3}\\\\x=-6[/tex]

Answer:

6% x = 8,880 : x = selling price of house.  

x = $148,000 : solve for x

Step-by-step explanation:

The selling price of the house can be calculated by dividing the commission ($8,880) by the commission rate (0.06). This gives a selling price of $148,000.

To solve this problem, you need to understand that the 6% commission the real estate agent received is based on the selling price of the house. You can find the selling price by dividing the commission by the percentage commission expressed as a decimal.

Here's the step-by-step solution:

So, the selling price of the house on which the agent earned an $8,880 commission at a rate of 6% was $148,000.

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it's a.

three more is +3 and it equals 105

that already eliminates c and d

next it says twice the sum of a number and half the number

Answer:

a

Step-by-step explanation:

ANSWER

(–5, –11), because the point satisfies both equations

EXPLANATION

The given equations are:

Line A: y = x – 6

Line B: y = 3x + 4

We substitute (-5,-11) into both equations.

Line A: -11 = -5– 6

This implies that,

-11=-11

This statement is true.

Line B: -11= 3(-5)+ 4

-11= -15+ 4

-11=-11

This is also true.

Since this point ,(&6,-11) satisfy both equations, it is their solution.

After 12 years there will be $25,865.41 in the bank account when Ann goes to college option (b) is correct.

It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.

We can calculate the compound interest using the below formula:

[tex]\rm A = P(1+\dfrac{r}{n})^{nt}[/tex]

Where A = Final amount

          P = Principal amount

          r  = annual rate of interest

          n = how many times interest is compounded per year

          t = How long the money is deposited or borrowed (in years)

The formula for the compounded continuously:

[tex]\rm A = Pe^{rt}[/tex]

r = 6.4% = 0.064

t = 12

P = $12,0000

[tex]\rm A = 12,0000e^{0.064\times12}[/tex]

After solving:

A = $25,865.41

Thus, after 12 years there will be $25,865.41 in the bank account when Ann goes to college option (b) is correct.

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Answer:38

Step-by-step explanation:

Answer:

x = 1

Step-by-step explanation:

Since the triangle is right use Pythagoras' identity to solve for x

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

The hypotenuse is the side opposite the right angle, thus

x² + 1² = ([tex]\sqrt{2}[/tex])²

x² + 1 = 2 ( subtract 1 from both sides )

x² = 1 ( take the square root of both sides )

x = [tex]\sqrt{1}[/tex] = 1

Answer:

D) [tex]x^3+8y^6[/tex]

Step-by-step explanation:

We have been given four choices.

A) [tex]3x^3+8y^6[/tex]

B) [tex]8x^3-27y^6[/tex]

C) [tex]125x^6-9y^3[/tex]

D) [tex]x^3+8y^6[/tex]

Now we need to find about which of the above choices is a sum of cubes.

Basically we need to check which one of the given choices can be represented in cubic form along with addition sign.

3 and 9 can't be written in cubic form unless we use radical numbers.

So the only choice left is D)

D) [tex]x^3+8y^6[/tex]

[tex]=x^3+2^3(y^2)^3[/tex]

[tex]=x^3+(2y^2)^3[/tex]

which is clearly visible as sum of cubes.

The answer is:

D) [tex]x^{3}+8y^{6}[/tex]

We are looking for the expression that can be obtained from a sum of cube factoring, the form of the sum of cubes will be:

[tex]a^{3}+b^{3}=(a+b)(a^{2} -ab+b^{2})[/tex]

The only option that matches with the sum of cubes form is the last option,

D) [tex]x^{3}+8y^{6}[/tex]

and it can be rewritten as the following expression:

[tex]x^{3}+8y^{6}=x^{3}+(2y^{2})^{3}\\\\x^{3}+(2y^{2})^{3}=(x+2y^{2})(x^{2}-2xy^{2}+(2y^{2})^{2})\\\\(x+2y^{2})(x^{2}-2xy^{2}+(2y^{2})^{2})=(x+2y^{2})(x^{2}-2xy^{2}+4y^{4})\\\\(x+2y^{2})(x^{2}-xy^{2}+4y^{4})=x*x^{2}-2x^{2}y^{2}+2xy^{4}+2x^{2}y^{2}-2xy^{4}+8y^{6}\\\\x*x^{2}-2x^{2}y^{2}+2xy^{4}+2x^{2}y^{2}-2xy^{4}+8y^{6}=x^{3}+8y^{6}[/tex]

Therefore, we have that:

[tex]x^{3}+8y^{6}=x^{3}+(2y^{2})^{3}=(x+2y^{2})(x^{2}-2xy^{2}+(2y^{2})^{2})=x^{3}+8y^{6}[/tex]

Hence, the correct answer is:

D) [tex]x^{3}+8y^{6}[/tex]

Have a nice day!

The total pieces of cake equal 45. 9 pieces are vanilla. This gives the fraction 9/45 which can be simplified to 1/5. P(vanilla)=1/5

D is the answer but I’m not sure

Answer:

m=47, n=52

Step-by-step explanation:

m is equal to 90-43 since 43+m is a right angle (straight angle 180 is composed of two right angles). n is equal to 90-38. If you solve of the missing angle not given a variable, you find n as well because opposite angles are congruent and have the same measure.

Answer: 600

Step-by-step explanation:

We have, 4% × x = 24

or, 4 100 × x = 24

Multiplying both sides by 100 and dividing both sides by 4,

we have x = 24 × 100 4

x = 600

If you are using a calculator, simply enter 24×100÷4, which will give you the answer.

The simplification of the equation (6.15x + 0.24y / 1.5) + 5.9x - 1.6y is 10x - 2.16y/1.5

(6.15x + 0.24y / 1.5) + 5.9x - 1.6y

= 6.15x + 0.24y + 1.5(5.9x - 1.6y) / 1.5

= (6.15x + 0.24y + 8.85x - 2.4y) / 1.5

= (6.15x + 8.85x + 0.24y - 2.4y) / 1.5

= (15x - 2.16y) / 1.5

= 10x - 2.16y/1.5

Therefore, the answer to the equation is 10x - 2.16y/1.5

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Answer:

34

Step-by-step explanation:

Each of the base angles = x

x + x + 112 = 180                Subtract 112 from both sides. Simplify the left side.

2x + 112 - 112 = 180 - 112    Simplify

2x = 68                              Divide by 2

2x/2 = 68/2                       Simplify

x = 34

Each of the base angles = 34 degrees.

Answer:

83

Step-by-step explanation:

Answer:

Using a bar graph where one bar has a length of 2.4 and one bar has a length of 1.8

Step-by-step explanation:

You use a bar graph to compare things between different groups, so it is the most appropriate one to use.

You use a pie chart to compare parts of a whole, so it would not be appropriate.

The graph should represent the relative sizes of the two values (24:18 or 1.33:1). Using a square or a cube would distort the relationship. The relative area of the squares would be 1.77:1 and that of the cubes would be 2.37:1.

Charts are used to represent data graphically.

The best way to represent the data is (a) using a bar graph where one bar has a length of 2.4 and one bar has a length of 1.8

The given parameters are:

[tex]\mathbf{Student = 2.4}[/tex]

[tex]\mathbf{Graduate = 1.8}[/tex]

Both data elements, are for different people.

So, it is best to use a bar chart.

Using a pie chart will imply that, the data elements are part of a whole data for a particular person.

Squares and cubes cannot be used at all.

Hence, the correct option is (a).

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Answer: b

Step-by-step explanation:

ANSWER

A) 9.4 * 10^-8, 9.25 * 10^-6, 2.5 * 10^3, 7* 10^3

EXPLANATION

The numbers are given in standard form.

The first criteria we will use to order them is the exponents.

The bigger the exponents the bigger the number.

The second criteria is that, if the exponents of any two numbers are the same, then we use the numbers multiplying the powers of 10 to order.

[tex]9.4 * 10^{-8} \: < \: 9.25 * 10^{-6} \: < \: 2.5 * 10^3 \: < \: 7* 10^3[/tex]

The correct choice is A.

Answer:

Option A. [tex]9.4\times 10^{-8}< 9.25\times 10^{-6}< 2.5\times 10^{3}<7\times 10^{3}[/tex]

Step-by-step explanation:

The given numbers are [tex]9.4\times 10^{-8}, 9.25\times 10^{-6}, 2.5\times 10^{3},7\times 10^{3}[/tex].

These are numbers written in scientific notation.

To identify the order of the numbers from least to greatest we will convert the numbers into the standard from.

[tex]9.4\times 10^{-8}[/tex] = 0.000000094

[tex]9.25\times 10^{-6}[/tex] = 0.00000925

[tex]2.5\times 10^{3}[/tex] = 2500

[tex]7\times 10^{3}[/tex] = 7000

Now we can arrange then from least to greatest.

0.000000094 < 0.00000925 < 2500 < 7000

OR

[tex]9.4\times 10^{-8}< 9.25\times 10^{-6}< 2.5\times 10^{3}<7\times 10^{3}[/tex]

Option A. is the answer.

Final answer:

To find what multiplied by 3/4 equals 1/4, set up the equation 3/4 * x = 1/4 and solve for x, giving the answer x = 1/3.

Explanation:

This question demands basic understanding of multiplication and reciprocals.

The question asks, "3/4 times what equals 1/4?". To find the answer, we can set up the equation 3/4 * x = 1/4, where x is the unknown we are trying to find. Solving for x involves dividing both sides of the equation by 3/4 to isolate x.

Therefore, the equation simplifies to x = (1/4) / (3/4). Performing the division gives us x = 1/3. This means that 1/3 is the number you need to multiply by 3/4 to get 1/4.

To find what number multiplied by 3/4 equals 1/4, divide 1/4 by 3/4, which is the same as 1/4 times the reciprocal of 3/4 (4/3), resulting in 1/3.

To find out 3/4 times what equals 1/4, we are essentially looking for a number that when multiplied by 3/4 gives us 1/4. The mathematical operation we need to use is division since we want to find what 1/4 divided by 3/4 is. So, the equation we are solving is (1/4) ÷ (3/4).

When we divide fractions, we multiply by the reciprocal of the divisor. The reciprocal of 3/4 is 4/3. So, the calculation now is (1/4) × (4/3).

Multiplying the numerators and denominators separately, we get (1 × 4) / (4 × 3) which simplifies to 4/12. After simplification, 4/12 reduces to 1/3. Therefore, 3/4 times 1/3 equals 1/4.

Complete question is :

3/4 times is what equals 1/4​?

Answer:

it is 3 i am pretty sure

Step-by-step explanation:

I believe the answer is 3

Answer:

x=3; x=-3; x=√5; x=-√5

Step-by-step explanation:

The equation can be simplified by treating (x^2 - 2) as y. Solving the quadratic equation for y results in y = 4 and y = 7. By substituting these back into the equation and solving for x, we find x = ±sqrt(6) and x = ±sqrt(9). Therefore, one possible solution for x is sqrt(6).

The equation provided is a quadratic in the form of x. In this case, let's take: (x^2 - 2) = y. Therefore the equation can be rewritten as: y^2 - 10y + 21 = 0. In order to find the roots of the equation, we should use the quadratic formula: y = [10 ± sqrt((10)^2 - 4*1*21)] / (2*1), which gives us y = 4 and y = 7. Now we substitute back y = (x^2 - 2). This will form two more quadratic equations: x^2 - 2 = 4 and x^2 - 2 = 7. Solving these, we get x = ±sqrt(6) and x = ±sqrt(9). So, one value of x that is a solution to the equation could be sqrt(6).

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Answer:

C

Step-by-step explanation:

Use a quadratic equation regression calculator.

Plugging in all the points, the equation should come somewhere close to

[tex]y=-0.32x^{2} -1.26x+15.81[/tex]

Which is answer choice C.

Answer:

The correct option is C.

Step-by-step explanation:

Answer:

The required quadratic regression model is [tex]y=x^2-2x-3[/tex].

Step-by-step explanation:

The given data points are (-6,12), (-4,15), (-3,17), (-1,17), (1,15), (2,11), (3,9), (4,6).

From the graph it is clear that the given data forms a U-shaped curve. It means we have to find the quadratic regression model.

The general form of quadratic regression model is

[tex]y=ax^2+bx+c[/tex]

Using technology we get,

[tex]a=-0.32,b=-1.26,c=15.81[/tex]

The required quadratic regression model is

[tex]y=-0.32x^2-1.26x+15.81[/tex]

Therefore the correct option is C.

Answer: 68 total outcomes

Final answer:

To find the total number of outcomes, we multiply the number of options for each class type using the fundamental counting principle, resulting in 5 × 4 × 5 × 3 = 300 total outcomes.

Explanation:

The question asks us to find the total number of outcomes for first-year students at a school who must choose one each of 5 English classes, 4 history classes, 5 math classes, and 3 physical education classes. To calculate the total number of outcomes, we use the fundamental counting principle, which states that if there are m ways to do one thing, and n ways to do another, then there are m × n ways of doing both.

In this scenario, the student can choose:

5 English classes

4 history classes

5 math classes

3 physical education classes

Applying the fundamental counting principle, we multiply the number of options for each subject:

5 (English) × 4 (History) × 5 (Math) × 3 (Physical Education) = 300 total outcomes.

Answer:

The mass of the pipe is [tex]465\ g[/tex]

Step-by-step explanation:

step 1

Find the volume of the steel pipe

The volume is equal to the area of outside circle minus the area of inside circle, multiplied by the length of the pipe

so

[tex]V=\pi [r2^{2}-r1^{2}]L[/tex]

we have

[tex]r2=2/2=1\ cm[/tex] ---> the radius is half the diameter

[tex]r1=1.8/2=0.9\ cm[/tex] ---> the radius is half the diameter

[tex]L=100\ cm[/tex]

[tex]\pi=3.14[/tex]

substitute

[tex]V=(3.14)[1^{2}-0.9^{2}](100)=59.66\ cm^{3}[/tex]

step 2

Find the mass

The mass is equal to the density multiplied by the volume

so

[tex]m=7.8(59.66)=465\ g[/tex]

Answer:

466

Step-by-step explanation:

Answer:

4.8 minutes

Step-by-step explanation:

Time = Speed * Distance

Time = 6 mi / 30 min * 24 miles=  1 mi / 5 min * 24 miles = 0,2 mi / min * 24 = 4.8 minutes

Answer:

So if you know that you can complete 6 miles over the course of 30 minutes it is just matter of multipling 30 minutes times 4, this is becasue it takes 4 times your base distance and time to get to yur goal of 24 miles.

30 x 4 equal 120

which you divide by 60 (because you have 60 minutes in one hour)

so it is safe to say that it will take 2 hours of 120 minutes to ski a ditance of 24 miles at a speed of 6 miles per 30 minutes.

Hope this helps!

From the information given, it is true to state that:

"The students in school 1 generally spend more time doing volunteer work than the students in school 2." (Option B)

In statistics, a dot plot, also known as a dot chart is a type of histogram or histogram-like chart that is used to represent data that is relatively small.

It is best used for indicating the statistical relationship between the data and its clusters, outliers, and gaps.

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School 2 students generally spend more time on volunteer work than School 1, while School 1 students tend to spend more time than School 3.

Based on the dot plots representing the number of hours spent on volunteer work by students from three different high schools, we can draw some conclusions about the median values of the data sets.

Firstly, comparing School 1 and School 2, it appears that students in School 2 generally spend more time doing volunteer work. This conclusion is supported by the higher frequency of dots in the higher hour range in School 2 compared to School 1.

Next, comparing School 1 and School 3, it seems that students in School 1 generally spend more time on volunteer work. The dot plot for School 1 shows a higher frequency of dots in the higher hour range compared to School 3.

In summary, students in School 2 generally spend more time doing volunteer work than those in School 1, while students in School 1 tend to spend more time on volunteer work than those in School 3.

Answer:

B

Step-by-step explanation:

If I have two dollars of debt (negative) and add 2 more dollars of debt (negative), I now owe 4 dollars in debt (negative).

-2+-2=-4

Answer:

B.) Negative 4

Step-by-step explanation:

A negative plus a negative equales a negative, beacause you aren't adding a positive to cancle out some of the numbers. your just adding more negative.

Answer:

x = 6

Step-by-step explanation:

To find the x- intercept let y = 0, that is

- [tex]\frac{1}{2}[/tex] x + 3 = 0 ( subtract 3 from both sides )

- [tex]\frac{1}{2}[/tex] x = - 3 ( multiply both sides by - 2 )

x = 6 ← value of x- intercept

Answer:

6

Step-by-step explanation:

got it right on edge

Answer:

b= -10

Step-by-step explanation:

9^ -8  * 9^ -2

We know that a^b * a^c = a^ (b+c)

9^ (-8+-2)

9^ -10

We want it in the form a^b

a=9

b= -10

Answer:

-10

Step-by-step explanation:

1st: the

2nd: expect

3rd: said

last step: so

Answer:

Step-by-step explanation:

The equation of a circle in standard form:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

(h, k) - center

r - radius

We have the equation:

[tex](x-3)^2+y^2=8\to(x-3)^2+(y-0)^2=(\sqrt8)^2[/tex]

Therefore

the center: [tex](3,\ 0)[/tex]

the radius: [tex]r=\sqrt8\to r=\sqrt{4\cdot2}\to r=\sqrt4\cdot\sqrt2\to r=2\sqrt2[/tex]

ANSWER

A. (243pi+162) ft^2

EXPLANATION

The area of the shaded region is the sum of the area of the major sector and the area of the isosceles triangle.

Area of major sector

[tex] = \frac{360 - 90}{360} \times \pi \times {18}^{2} [/tex]

[tex] = 243\pi {ft}^{2} [/tex]

The area of the isosceles triangle is calculated using the formula;

[tex] = \frac{1}{2} {r}^{2} \sin( \theta) [/tex]

[tex]= \frac{1}{2} \times {18}^{2} \sin(90 \degree)[/tex]

[tex] = 162 {ft}^{2} [/tex]

The area of the shaded region

[tex] = (243\pi + 162) {ft}^{2} [/tex]

The correct answer is A.

Answer: A

Step-by-step explanation:

1. 49 pic square ft

2. 168 units

3. (4-[tex]\pi[/tex])ft^2

4. 314square ft

5. 22.6 square mm

6. 12 inches

7. 12 [tex]\pi ft^2[/tex]

8. 28.125 [tex]\pi[/tex] square centimeters

9. 22.1 cm

10. (243pi+162) ft^2

Just took the pracitce this will get oyu a 100 hope this helps