The area of a rectangle room is given by the equation x^2+x=12, where w is thewidth if the room. What is the width of the room?

Answers

Answer 1

Answer:

w = 3

Step-by-step explanation:

factoring x² + x - 12 you get (x + 4)(x - 3) = 0

x = -4 and x = 3

since you cannot have a negative width, we exclude that value and use the positive value of 3


Related Questions

NEED ANSWER ASAP WILL GIVE BRAINLIEST FOR CORRECT ANSWER

Answers

Answer:

A person jumping on a trampoline

Which equation represents 3/8 less than 7/8 of a number?

A. 3/8 -7/8n

B. 3/8n - 7/8

C. 7/8n-3/8

D. (7/8-3/8)n

Answers

The answer is D
Am sure its D

Find an equation for the line below.

Answers

Answer:

Slope = ⅓

Step-by-step explanation:

Slope (m) = change in y/change in x

Using two points on the line, (-5, 1) and (1, 3),

Change in y = 3 - 1 = 2

Change in x = 1 - (-5) = 6

Slope (m) = change in y/change in x = 2/6

Slope = 1/3

a trailer that can be attached to the back of the truck also has a volume of 180 cubic feet. what could be the possible dimension of the trailer

Answers

Answer:

5x6x6

Step-by-step explanation:

5x6x6=180

3x3x20=180

4x5x9=180

[tex]\sqrt[3]{180}[/tex]=5.65

Pls help!!!! It is khan academy and I’m giving 15 points!

Answers

The inequality would be in the direction of the arrow
The arrow is <—— so the inequality is <
The circle is colored so -3 in including making it less than or equal
x<-3
_

Or B

Find the value of
x
xx in the triangle shown below.
x
=
x=x, equals



degrees

5
8

58


x

x


6
6
6
6
5.8
5.8

Answers

Answer:

10

Step-by-step explanation:

he question lacks appropriate diagram. Find the diagram attached below.

From the isosceles triangle shown, we can see that it is made up of two right angled triangle.

Using the Pythagoras theorem to solve for the adjacent side of both right angled triangles we will have;

From the formula:

Hyp² = Opp²+Adj²

Adj² = Hyp² - Opp²

The hypotenuse and the opposite of both triangle is equal. Hence their adjacent side will also be equal.

Given Hypotenuse = √74

Opposite = 7

Adj² = Hyp²-Opp²

Adj² = (√74)² - 7²

Adj² = 74-49

Adj² = 25

Adj = √25

Adj = 5

The adjacent of both sides are equal

x = 2 × Adjacent side

x = 2(5)

x = 10

Please help, I'll mark the correct answer as brainiest!!!

Answers

Answer:

$1612

Step-by-step explanation:

12% of 2400

12/100 * 2400

0.12 * 2400 = 288

Amount to be paid :

2400 - 288 = 2112

Down payment = $500

Amount owed =

Amount to be paid - Down payment

$2112 - $500

= $1612

Hence, amount owed for installment loan = $1612

Given f (x) = x + 1 and g(x) = x2, what is (gof)(x)?

Answers

Answer:

(gof)(x) = x² + 2x + 1

Step-by-step explanation:

You can solve this by plugging  f into g and finding the result:

(gof)(x) = f(x)²

= (x + 1)²

= x² + 2x + 1

What is the mean absolute deviation of each swim club?
A:5
B:50
C:0
D:10

Answers

Answer:

c

Step-by-step explanation:

I WILL GIVE YOU BRAINERLEST AND A LIKE


Find the area of the parallelogram.

Answers

Answer:

i am not very sure but i think its 50in

Step-by-step explanation:

area of parallelogram is height multiplied by the base

hope this helps

Preston has a car washing business. Last year he washed 20 cars a week. This year, he washed 1,200 cars. How many more cars did he wash this year than last year? *52 weeks=1 year

Answers

Answer:

160 cars

Step-by-step explanation:

The computation of the number of more cars he washed this year is given below;

Last year, he washed 20 cars a week so on yearly basis he washed

= 20 cars × 52 weeks

= 1,040 cars

And, this year he washed 1,200 cars

So, the number of more cars he washed this year is

= 1,200 cars - 1,040 cars

= 160 cars

In a survey of 400 people, 65% sald they owned a dog. How many people own a dog?

Answers

Answer:

260 people own a dog.

Step-by-step explanation:

Think of the equation as this:

65% of 400 people own a dog.

Since "of" in a math equation means to multiply, replace of with a multiplication sign.

65% * 400 = 260 people own a dog.

To check you're answer, make the fraction 260/400 into a percent.

260/400 = 65%

Have a nice day!!! ;D

a triangle has a length of 15cm and 17cm. select all the values of its third side that would make it a right triangle.

options are:
8cm
29cm
2cm
514 squared
29 squared

Answers

Answer:

8cm & 514 squared are correct answers

Step-by-step explanation:

Trend lines
The scatterplot below shows several data
points and an approximate trend line for
the data.
у
350
300
250
200
150
100
SO
D 200 400 600
1.
Which is the best estimate of the value
of x that corresponds to the y value of
325? (8.18, 8.1C, 8.1E, 8.1F)
A 175
B 700
C 625
D 125

Answers

The answer is D fasho fasho

Inequality of t+250+800

Answers

Answer:

2983839i8

468393749493948

Hsjejrhrjjh4u4i84748394

Je83847483

373783838383884

373838383

Jkffffffffffffffffffffffffffffdddfddfffffffddddddddddddddddddfffffffffffffffffffffffffff

An ANOVA procedure is applied to data obtained from 6 samples where each sample contains 10 observations. The degrees of freedom in the denominator for the critical value of F test statistic is Group of answer choices

Answers

Answer:

The degree of freedom in the denominator = 114

Step-by-step explanation:

For Analysis of Variance procedure :

The number of groups, k is the number of distinct groups = 6

The total number of samples, N = number of groups multiplied by the number of samples per group ; N = 20 * 6 = 120

Degree of freedom (df) :

dfwithin = df of numerator = k - 1 = 5

df between = df of denominator = N - k

df denominator = 120 - 6 = 114

what is the answer?
8 x 1/2 = ______

Answers

Answer:

4

Step-by-step explanation:

Another way to write this is 8/1 x 1/2. Then the answer would be 8/2. Simplify to get 4.

8 × 1/2 = 4!

Calculation steps:

8 ×

1

2

= 8 ×

1

2

=

8 × 1

1 × 2

=

8

2

=

8 ÷ 2

2 ÷ 2

= 4

A bicycle has a listed price of $516.99 before tax. If the sales tax rate is 8.75%, find the total cost of the bicycle with sales tax included.
Round your answer to the nearest cent, as necessary. HELP QUICK!

Answers

Answer:

562.23

Step-by-step explanation:

Each small square in the figure below measures 1 foot on each side what is the area of the triangle

Answers

Answer:

It should be 0.5 if I’m wrong let me know

Step-by-step explanation:

A=HbB/ 2 = 1x1/2=0.5

the sum of 1+3+5+7+...+101=?​

Answers

Answer:

.......117. hope it helps

A rectangular prism and its dimensions are shown in the diagram.
Dimensions:length 7.5 width 5 height 6.5

what is the total surface area​

Answers

Answer:

237.5

Step-by-step explanation:

2·(5·7.5+6.5·7.5+6.5·5)=237.5

) What is the absolute value |-5 l​

Answers

Answer: 5

Step-by-step explanation:

Trinity can run around the perimeter of her school's sports field in 4.75 minutes. It takes Jing 1.2 minutes longer. Alberto can run around the perimeter of the field in 5.9 minutes. Which correctly compares Jing's running time to Alberto's running time?

Answers

We need answer options girl

AP Statistics Quiz 10.2

1.

Mrs. Toguchi wants to determine if politicians tend to have higher salaries, on average, than first

responders (specifically emergency medical technicians, EMTs). Independent random samples from each

of these two professions were selected and their salaries were recorded. The data are summarized below.

a) the distribution of salary in each group is skewed right. The use of two-sample t procedures is still justified why?

b) construct and interpret a 99% confidence interval for the difference in the true mean salaries for politicians and EMTs

Answers

Answer:

Hello some data related to your question is missing attached below is the missing data

a) we will reject the null hypothesis hence it can be determined that the salary of politicians is greater than that of EMTs through the use of two-sample t procedures. since ( to > critical value )

b) ( 3.819 , 8.5226 )

Step-by-step explanation:

Applying the Given data:

The test hypothesis :

H0 : μ1 = μ2

Ha : μ1 > 2

A) since ( to > critical value ) we will reject the null hypothesis hence it can be determined that the salary of politicians is greater than that of EMTs through the use of two-sample t procedures

B ) construct and interpret

next calculate the SP value

[tex]S^{2} _{p}[/tex] = [tex]\frac{( n1 - 1 )S^{2} _{1} + ( n_{2}- 1 )S^{2} _{2} }{n1 + n2 - 2}[/tex]

where: S1 = 7524 , n1 = 50 , n2 = 100 , S2 = 5551   ( input values into equation above )

[tex]S^{2} _{p}[/tex] = 39354491.3716

hence : [tex]S_{p}[/tex] = 6273.32

next calculate the value of test statistic

to = ( X1 - X2 - Δo ) / Sp [tex]\sqrt{\frac{1}{n1} + \frac{1}{n2} }[/tex]

where: X1 = 61234 , X2 = 54529 , Sp = 6273.32 , n1 = 50 , n2 = 100  ( input values into equation above )

to = 6705 / 1086.5702 = 6.1708

Df ( degree of freedom ) = n1 + n2 - 2 = 148

critical value at ∝ = 0.01  = ± 2.3518  ( using excel function : T.INV(0.01,148) )

hence the confidence Interval

= ( 6.1708 ± 2.3518 )

= ( 3.819 , 8.5226 )

For the table of Mrs. Toguchi the t test for two sample is not justified and the confidence interval for this two values is (6.1708, ±2.3518).

What is random sample?

Random sample is the way to choose a number or sample in such a manner that each of the sample of the group has an equal probability to be chosen.

Mrs. Toguchi wants to determine if politicians tend to have higher salaries, on average, than first responders (specifically emergency medical technicians, EMTs).

Independent random samples from each of these two professions were selected and their salaries were recorded. The data are summarized below.

                                   Politicians        EMT's

Mean                            $61,234       $54,529

Standard deviation      $7524          $5551

n                                      50                100

a) The distribution of salary in each group is skewed right. The use of two-sample t procedures is still justified-

The hypothesis for the test,

[tex]H_0:\mu_1=\mu_2\\H_a:\mu_1 > 2[/tex]

No it is not justifies, as the null hypothesis is rejected.

b) construct and interpret a 99% confidence interval for the difference in the true mean salaries for politicians and EMTs

The pooled estimate of a common population standard deviation can be given as,

[tex]S_p=\sqrt{\dfrac{(n_1-1)S_1^2+(n_2-1)S_2^2}{n_1+n_2-2}}[/tex]

Put the values in the above formula from the table, we get,

[tex]S_p=\sqrt{\dfrac{(50-1)(7524)^2+(100-1)(5551)^2}{50+100-2}}\\S_p=6273.32[/tex]

Use the formula of test statistics for equal variance as,

[tex]t=\dfrac{\overline y_1-\overline y_2-0}{s_p\sqrt{\dfrac{1}{n_1}+\dfrac{1}{n_2}}}[/tex]

Put the values from the table as,

[tex]t=\dfrac{61234-54529-0}{(6263.32)\sqrt{\dfrac{1}{50}+\dfrac{1}{100}}}\\t=6.1708[/tex]

The degree of freedom can be given as,

[tex]DF=100+50-2\\DF=148[/tex]

The critical value for 99 percent interval (0.01) is ±2.3518.

Hence, the confidence interval for this two values is (6.1708, ±2.3518).

Thus, for the table of Mrs. Toguchi the t test for two sample is not justified and the confidence interval for this two values is (6.1708, ±2.3518).

Learn more about the random sample here;

https://brainly.com/question/17831271

(07.01)
What is the value of x in the equation x + 10 = 13? (4 points)
1-3
0 2 3
3) 13
4) 23

Answers

x+10=13
-10 -10
—————
x= 3

Answer is: 2) 3

Answer:

x=3

Step-by-step explanation:

x+10=13

x=13-10

x=3


4) Triangle F and triangle G are shown below. Which sequence does not transform triangle F to
triangle G?

A) a 180° clockwise rotation about the origin

B) a 180° counterclockwise rotation about the origin

C) a reflection over the x-axis and then
a reflection over the y-axis

D) a reflection over the y-axis and then a
90° clockwise rotation about the origin

Answers

Answer:

D) a reflection over the y-axis and then a

90° clockwise rotation about the origin

Answer:

D) a reflection over the y-axis and then a

90° clockwise rotation about the origin

Which value for x makes the sentence true?
10x - 5 = - 55

A. - 50

B. - 6

C. - 10

D. - 5

Answers

Answer:

D. -5

Step-by-step explanation:

Just solve:

10x - 5 = -55

10x = -50

x = -5

Answer is D.

Please help 13 points number 3 no links !

Answers

Answer:

H

Step-by-step explanation:

[tex]\frac{1}{4} + \frac{4}{5} = 1\frac{1}{20}[/tex]

Answer:

Hi, using L.C.M, It will be option H

he sum of two numbers is 43 and the difference is 5. What are the numbers ?

Answers

Answer:

24,19

Step-by-step explanation:

24+19=43

24-19=5

A sprinkler rotates 360° to water a circular region. If the total area watered is approximately 2,200yd2, determine the radius of the region (the radius is length of the stream of water). Round the answer to the nearest yard.

Answers

Answer:

Radius = 26 yards.

Step-by-step explanation:

The complete rotation of the sprinkler makes a circle of radius R (R is the length of the stream of water).

Remember that the area of a circle of radius R is:

A = pi*R^2

where pi = 3.14

In this case, we know that the area is equal to 2,200 yd^2

Then:

A = 2,200 yd^2 = 3.14*R^2

Solving this equation we can find the value R.

(2,200 yd^2)/3.14 = R^2

√( (2,200 yd^2)/3.14) = R  = 26.47 yards.

We want to round it to the nearest yard, then we need to look at the first digit after the decimal point. It is smaller than 5, then we round down, we get:

Radius = 26 yards.

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