The area of a rectangular field is 6942m2. If the length of the field is 89m, what is its width?

Answer:

y = (-2/3)x + 4 or

3y = -2x + 12

Step-by-step explanation:

Slope of line passing through (x₁, y₁) and (x₂, y₂) is given by
[tex]\frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]

In this particular case where the points are (6,0) and (0,4) we get the slope as (4-0)/(0-6) = -2/3

Equation of a line with slope m and y intercept c is given by

y = mx + c

substituting for m we get the equation y = (-2/3)x + c

Substituting the first point (6,0) we get

0 = (-2/3)(6) + c or -4 + c = 0 or c =4

Therefore y = (-2/3)x + 4 or multiplying both sides by 3 we get

3y = -2x + 12

The equation of the circle is:

[tex](x + 4)^2 + (y + 2)^2 = 17^2[/tex]

The general equation for a circle of radius R and center (a, b) is:

[tex](x - a)^2 + (y - b)^2 = R^2[/tex]

Here the center is (-4, -2), and it contains the point (4, -17), so the radius is:

[tex]R = \sqrt{(4 - (-4))^2 + (-2 + 17)^2} = 17[/tex]

So the equation of the circle is:

[tex](x + 4)^2 + (y + 2)^2 = 17^2[/tex]

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According to a survey report in 2018, the percentage of Bolivians that are Catholics is about: A. 77%

The Bolivians are people from the country, Bolivia. The country Bolivia is described a predominantly Catholic country as a result of its relations between the Church and the state.

Based on a survey report in 2018, about 77% of Bolivians were said to be Catholics.

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Answer:

1. b- El trópico

2. A- 77%

Step-by-step explanation:

got a 100 and i jus took the test

The number in standard form is 632.058

The number is given as:

Six hundred thirty-one and fifty-eight thousandths

This means:

Six hundred thirty-one + fifty-eight thousandths

Express Six hundred thirty-one as 631

632  + fifty-eight thousandths

Express fifty-eight thousandths as 58/1000

632  + 58/1000

Express as decimal

632  + 0.058

Evaluate the sum

632.058

Hence, the number in standard form is 632.058

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The Answer is: A. 52/3

Answer:

=5a+7b

Step-by-step explanation:

Expand: 5(a + 2b): 5a + 10b
=5a+10b-3b
Add similar elements: 10b-3b=7b
=5a +7b

Answer:

Step-by-step explanation:

[tex]\boxed{\underline{\text{Distributive property}}}[/tex]

Given:

In this question, I'm asking about the distributive property.

Distributive property is each term within the parentheses can be multiplied by a factor outside the parentheses.

For any real numbers a, b, and c.

Note:

⇒ A(B+C)=AB+AC

⇒ A(B-C)=AB-AC

Solutions:

Multiply by expand first.

[tex]\Longrightarrow: \sf{5(a+2b)}[/tex]

[tex]\Longrightarrow: \sf{5*a=5a}\\\\\Longrightarrow: \sf{5*2b=10b}[/tex]

Rewrite the equation problem down.

5a+10b-3b

Solve.

Subtract.

10b-3b=7b

[tex]\Longrightarrow: \boxed{\sf{5a+7b}}[/tex]

I hope this helps, let me know if you have any questions.

Answer:

A. (0,-3) the other possible anser is (2,1) but that's not an option

The total volume of this building based on the volume of its two sections is 3808 cubic feet.

In this case, it is necessary to calculate the volume of the base that has a rectangular prism shape and the volume of the top part that has a right triangular prism shape.

Note: This question is incomplete because the image is missing; here is the missing section.

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The approximate probability that the 5 bushels will have a mean weight of more than 90 pounds is 0.41

The given parameters are:

Mean, μ = 89.46

Standard deviation, σ = 2.31

The z-score at x = 90 is calculated using

[tex]z = \frac{x - \mu}{\sigma}[/tex]

This gives

[tex]z = \frac{90 - 89.46}{2.31}\\[/tex]

Evaluate

z = 0.234

The probability is then calculated as:

P(x >90) = P(z > 0.234)

From z table of probabilities, we have:

P(x >90) = 0.41

Hence, the approximate probability that the 5 bushels will have a mean weight of more than 90 pounds is 0.41

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Answer:

[tex]8w+\frac{12}{4}[/tex] = 8w+3

[tex]\frac{8w+12}{4}[/tex] = 2w+3

Step-by-step explanation:

For [tex]8w+\frac{12}{4}[/tex], you can divide 12 by 4 which is three.

For [tex]\frac{8w+12}{4}[/tex], you have to divide each term. 8w is the same as 8·w. 8·w/4 is 2·w. 12/4 is 3.

The correct value of this simplified expression is 8w + 3

- Algebraic expression is a mathematical sentence that involves letters accompanied by real numbers, where it can be a variable or unknown.

- Simplification of a number is just the division of the same divisor by the numerator and denominator.

Given the expression: 8w+12/4, the only term in this expression that can be simplified is the fraction. So let's divide these two numbers by the number 2:

8w + 12 / 4

8w + 12 ÷ 2 / 4 ÷ 2

8w + 6 /2

It is still possible to simplify this expression - dividing the numerator by the denominator, so:

8w + 6 /2

8w + 6 ÷ 2

8w + 3

Therefore, the correct answer of this expression will be 8w + 3

Using the z-distribution, it is found that the 99% confidence interval to estimate Q is (74.4, 96.6). The interpretation is that we are 99% sure that the true mean for all cars rented in the city is between these two values.

The confidence interval is:

[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]

In which:

In this problem, we have a 99% confidence level, hence[tex]\alpha = 0.99[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.99}{2} = 0.995[/tex], so the critical value is z = 2.575.

The other parameters of the interval are given as follows:

[tex]\overline{x} = 85.5, \sigma = 19.3, n = 20[/tex].

Hence the bounds of the interval are given as follows:

[tex]\overline{x} - z\frac{\sigma}{\sqrt{n}} = 85.5 - 2.575\frac{19.3}{\sqrt{20}} = 74.4[/tex]

[tex]\overline{x} + z\frac{\sigma}{\sqrt{n}} = 85.5 + 2.575\frac{19.3}{\sqrt{20}} = 96.6[/tex]

The interpretation is that we are 99% sure that the true mean for all cars rented in the city is between these two values.

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x + yi = (1 + i)⁴

then -4 + 4 = x

C. The cost of 6 show tickets is $30.

bottom of graph represents number of tickets, look for 6 then go up till you hit the dot now go to the other side of the graph ( costs) and see which number the line hit which is 30

Answer:     x = 5, -5

Step-by-step explanation:

mark brainist

Answer:

(5, 18) and (-5, 38)

Step-by-step explanation:

Equating the values of the function f(x) :

Taking x = +5 :

Taking x = -5 :

The solutions are : (5, 18) and (-5, 38)

The area of the poster will be 0.68 m². The number of unit squares that cover the surface of a closed-form is the figure's area.

The space filled by a flat form or the surface of an item is known as the area. Square centimeters and other similar units are used to measure area.

Given data;

Height of mom in the photo = 3 inches

Real size of photo=66 inches

Area of the photo = 15 square inches

Where x is the area of the poster, the following proportions might be used to predict how much paper Jermaine will pay for:

Area = width × length

[tex]\frac{Real \ size }{Photo \ size} =\frac{Real \ area}{Photo \ area } \\\\ \frac{66}{3} =\frac{15}{x} \\\ x=0.68 \ m^2[/tex]

Hence,the area of the poster will be 0.68 m².

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Let's apply BPT theorem(Not necessary we can apply common ratios and similarities)

Put values

Option B

Let's solve it out

Answer:

A= 77/2 or 38.5 cm^2 and p= 29.5 cm

Step-by-step explanation: Remember the formula for area and perimeter for a triangle A=1/2bh and P= a+b+c. So the equations would look like A=1/2 x 11 x 7 and P= 11 + 11 + 7.5 and that'll result in A= 77/2 or 38.5 cm^2 and p=29.5 cm.

Answer:

360 feet

ft = 120 • 3 = 360 feet

Answer:

Your choice of 360 is correct.

Step-by-step explanation:

3 feet = 1 yard

120 times 3 =

360

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The experimental probability that the next train to pull in will be full is [tex]\rm \frac{4}{5}[/tex]. Probability is the ratio of the favorable event to the total number of events.

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen.

The experimental probability that the next train to pull in will be full is found as;

[tex]\rm P= \frac{Favourable}{Total \ outcomes } \\\\\ P(full)= \frac{16}{16+4} \\\\\ P(full)=\frac{16}{20} \\\\ P(full)= \frac{4}{5}[/tex]

Hence, the  experimental probability that the next train to pull in will be full is [tex]\rm \frac{4}{5}[/tex].

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Answer:

second one

Step-by-step explanation:

The complete factor of the expression x² + 4x - 45 is (x - 5)(x + 9)

The expression is given as:

x² + 4x - 45

Expand the equation

x² + 4x - 45 = x² + 9x - 5x - 45

Factorize the expression

x² + 4x - 45 = x(x + 9) - 5(x + 9)

Factor out x + 9

x² + 4x - 45 = (x - 5)(x + 9)

Hence, the complete factor of the expression x² + 4x - 45 is (x - 5)(x + 9)

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Answer:

Factor x2+4x−45 using the AC method. (x+9) (x−5)

Step-by-step explanation: so B

Answer:

This is less chocolate ice cream per cup of milk than in the first mixture (2 scoops of chocolate ice cream per cup of milk), so the first mixture has stronger chocolate flavor. 2 scoops of chocolate ice cream with 1 cup of milk will taste the same as 4 scoops of chocolate ice cream with 2 cups of milk.

Step-by-step explanation:

Answer:

If you did 3 scoops of ice-cream and 2 cups of milk you would have 2times the amount of milk and only 1 1/2 times the amount of ice-cream then if you did 1 cup of milk and 2 scoops of ice-cream.

Step-by-step explanation:

To solve this question, we will have to use the aspect of mathematics that is referred to as rates or proportions.

In the first mix, what we have is that we are going to mix 2 scoops of chocolate ice cream with 1 cup of milk. What is noticeable here is that we have 2 scoops of chocolate per 1 cup of milk or there is a 2 to 1 ratio of chocolate ice cream to cup of milk.

Now in the second mix, we are mixing 3 scoops of chocolate with 2 scoops of milk. What we have here is a ratio of 3 to 2. This means that we are having a ratio of 1.5 to 1 of the number of scoops of chocolate ice cream to number of cups of milk.

Looking at this, we can deduce that a 2 to 1 ratio is a greater value compared to a 1.5 to 1 ratio. This is the reason why we are having a stronger chocolate flavor in the first mix than the chocolate flavor in the second mix

Answer:

Jace did not make a mistake, because the answers are the same. Jace just did the problem in a unique way.

Answer:

sec(B)=b. ab/bc

sin(B)=c. ac/ab

csc(B)=f. ab/ac

cot(B)=a. bc/ac

tan(B)=e. ac/bc

cos(B)=d. bc/ab

Step-by-step explanation:

SOHCAHTOA

Sine=Opposite/Hypotenuse

Cosine=Adjacent/Hypotenuse

Tangent=Opposite/Adjacent

SHACHOCotAO

Secant=Hypotenuse/Adjacent

Cosecant=Hypotenuse/Opposite

Cotangent=Adjacent/Opposite

Answer:

[tex] \frac{b}{4} + 2 = - 1[/tex]

[tex] \frac{b}{4} = - 1 - 2[/tex]

[tex] \frac{b}{4 } = - 3[/tex]

[tex]b = - 3 \times 4[/tex]

[tex]b = - 12[/tex]

hope this helps you!!

The answer is -12

The solution of a linear equation is defined as the points, in which the lines represent the intersection of two linear equations. In other words, the solution set of the system of linear equations is the set of all possible values to the variables that satisfies the given linear equation.

Given here:  The equation b/4 +2 = -1

                                                   b=-12

Hence, The answer is -12

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Answer:

Step-by-step explanation:

[tex]P = 56,150(1 + \frac{0.095}{4})^{ 4(2.5)[/tex]

≈ $71005

Is the relationship between the step number and number of squares a quadratic function.

Step 1 = 2 squares

Step 2 = 6 squares

Step 3 = 12 squares

2, 6, 12

 4   6

    2

ax² + bx + c

2a = 2 ⇒ a = 1

3a + b = 4 ⇒ 3(1) + b =4 ⇒ b = 1

a + b + c = 2 ⇒ 1 + 1 + c = 2 ⇒ c = 0

Equation: x² + x

Hence, Yes it is a quadratic function.

Answer:

It is quadratic with nth term = n^2 + n.

Step-by-step explanation:

Number of squares in each term = 2, 6 and 12

Differences between these  are   4 and 6

6 - 4 = 2

This is an indication of a quadratic function  with n^2 the first term.

Value of n^2 for first 3 terms

=                    1     4     9    and the terms are:

                     2     6    12

Differences   1     2       3    

This last term  = n

So the quadratic function for this sequence is

n^2 + n.

Answer:

full question Grace is an hourly employee, and the line that models her total pay in dollars

as it relates to the number of hours she has worked has a slope of 45 and a y

intercept of 35. Which statement is true?

A. Grace's wage is $35 an hour, and it appears that she received a

signing bonus of $45.

B. Grace's wage is $35 an hour, but it appears that she received no

signing bonus.

C. Grace's wage is $45 an hour, and it appears that she received a

signing bonus of $35.

D. Grace's wage is $45 an hour, but it appears that she received no

signing bonus.

Step-by-step explanation:

if x is the amount of hours worked, 45 is the slope and the y intercept is 35.

A linear equation has the form of y = ax + b, where a is the slope and b is the y-intercept, then the equation that we have is:

y = 45*x + 35

this means that she wins $45 per hour, and has a plane amount of $35, indiferent of the amount of hours worked.

Then the correct answer is

C) Grace's wage is $45 an hour, and it appears that she received a  signing bonus of $35.

Answer:

wow........mmm.................

Answer:

88.0 in^3 to nearest tenth.

Step-by-step explanation:

The radius = 1/2 diameter

= 11/2 * 4 = 2 ins,

The Volume = πr^2 h

= π * 2^2 * 7

= 87.96 in^3.

Answer:

87.9 in³ OR 88.0 in³

Step-by-step explanation:

Concepts

The volume of a cylinder is [tex]\pi r^2h[/tex], where r = radius and h = height.

The radius is twice the diameter.

Application

We are given the diameter as 4 inches, so the radius is 2 inches. The height of the cylinder is 7 inches. Now, we just apply our aforementioned formula and plug in its values of r and h. Since I don't know if you're using pi as 3.14 or just using the exact value of pi, I have provided two different answers at the top.

Solution

1:

2: