The area of the table should be
10 ft2. You want the length of the table to be 1 ft shorter than twice its width.
What should the dimensions of the table be?

Answers

Answer 1

Answer: width : 2.5 ft. and length : 4 ft.

Step-by-step explanation:

The area = W × L

[tex]10=W(2W-1)[/tex]

[tex]10=2W^{2} -W[/tex]

[tex]0 = 2W^{2}-W-10[/tex]

[tex]0=(2W-5)(W+2)[/tex]

W = 2.5 and -2

You can't use -2 so

[tex]L = 2(2.5)-1[/tex]

[tex]L = 4[/tex]

please give me a brainliest answer


Related Questions

how to write 1 in numbers ? ​

Answers

Answer:

To write 1 in a numerical form, you have to check its place value. It's 1. So, 1 is 1 in numerical form. :-)

Consider the following functions. f1(x) = x, f2(x) = x2, f3(x) = 2x − 4x2 g(x) = c1f1(x) + c2f2(x) + c3f3(x) Solve for c1, c2, and c3 so that g(x) = 0 on the interval (−[infinity], [infinity]). If a nontrivial solution exists, state it. (If only the trivial solution exists, enter the trivial solution {0, 0, 0}.) {c1, c2, c3} = $$ Correct: Your answer is correct. Determine whether f1, f2, f3 are linearly independent on the interval (−[infinity], [infinity]).

Answers

9514 1404 393

Answer:

(c1, c2, c3) = (-2t, 4t, t) . . . . for any value of tNOT linearly independent

Step-by-step explanation:

We want ...

  c1·f1(x) +c2·f2(x) +c3·f3(x) = g(x) ≡ 0

Substituting for the fn function values, we have ...

  c1·x +c2·x² +c3·(2x -4x²) ≡ 0

This resolves to two equations:

  x(c1 +2c3) = 0

  x²(c2 -4c3) = 0

These have an infinite set of solutions:

  c1 = -2c3

  c2 = 4c3

Then for any parameter t, including the "trivial" t=0, ...

  (c1, c2, c3) = (-2t, 4t, t)

__

f1, f2, f3 are NOT linearly independent. (If they were, there would be only one solution making g(x) ≡ 0.)

The sum of 3 consecutive numbers is 126. Find the numbers.

Answers

Answer:

Hello!!

The sum of 3 constructive numbers is 126. The three constructive numbers are...

[tex]41+42+43=126[/tex]

Hope this helps!!

What graph represents a function with a growth factor of 5?

Answers

Answer:

The answer should be C!

Step-by-step explanation:

When you multiply the y value 0.04 and 5 it comes out as 0.02.

Negative 1/3 in decimal form

Answers

Answer:

-0.3333334

Step-by-step explanation:

common sense

Answer:

-0.33

Step-by-step explanation:

When converted to a household measurement, 9 kilograms is approximately equal to a

Answers

Abt 317.4 oz or 19.4 lb

Answer:

D) 19.8 lbs

Explanation:

1kg in household measurement is equal to 35.274 ounces. 35.274*9=317.466 ounces.

1kg is also equal to 2.205 lbs. 9*2.205=19.8416

9 kg is also equal to 9000 grams, but grams are not a part of the household measurement system

a) 9000 grams. b) 9000 ounces. c) 19.8 ounces. d) 19.8 pounds.

This leaves us with 19.8 lbs

A car travelling at 120km per hour. How many metres does the car travel in 2 1/2 minutes

Answers

Answer:

48

Step-by-step explanation:

time = 2 1/2 = 5/2

speed= distance÷time

120= d÷ 5/2

(120×2)÷5= d

d = 48

Match the following sentences on the left with their algebraic expression on the right.

Answers

a. The product of 5 and the sum of a number and 8

Product means multiplied, so that means 5 multiplied by some number plus 8, thus, 5(x+8)

b. A number less than 12

12-x would equal less than

c. The product of five and a number divided by 2

Again, product means multiplied, so its saying 5 times something, all divided by 2, thus, 5x/2

Please give brainliest :) hope this helps!

Answer:

A number less than twelve = 12 - x = b

The product of five and a number divided by two = 5x/2 = c

The product of five and the sum of a  number and eight = 5(x+8) = a

Step-by-step explanation:

A number less than twelve

12 minus a number

12 - x

The product of five and a number divided by two

A number times 5 divided by 2

5x/2

The product of five and the sum of a  number and eight

A number plus 8 times 5

(x+8)*5

5(x+8)

In a stationery​ design, the number of ovals is proportional to the number of squares. How many squares will there be when there are 75​ ovals?

When there are 75​ ovals, there are
?/?

Answers

Answer:

75 squares

Step-by-step explanation:

ovals is proportional to the number of squares

75​ ovals = 75 squares * constant of proportionality ( this could be any number)

so for 75 ovals we can have

75 squares ,

or 2*75 = 150 squares ,

or we could have .6 *75 = 45 squares

Answer:

75 squares

Step-by-step explanation:

ovals is proportional to the number of squares

75​ ovals = 75 squares * constant of proportionality ( this could be any number)

so for 75 ovals we can have

75 squares ,

or 2*75 = 150 squares ,

or we could have .6 *75 = 45 squares

Given matrices A and B shown below, find (3)A+(8)B.

Answers

Answer:

[tex]\left[\begin{array}{ccc}32&-55\\3&39\end{array}\right][/tex]

Step-by-step explanation:

[tex]\left[\begin{array}{ccc}0&-15\\3&15\end{array}\right] +\left[\begin{array}{ccc}32&-40\\0&24\end{array}\right] =\left[\begin{array}{ccc}0+32&-15+(-40)\\3+0&15+24\end{array}\right] = \left[\begin{array}{ccc}32&-55\\3&39\end{array}\right][/tex]

Calvina Miller makes a car payment of $214.50 every month. Her car
loan is for 5 years. How much will she pay in 5 years?

Answers

12,870 dollars. Let me know if you want me to show my work.

A sea lion jumped out of the water to a height of 3 feet above sea level. The number line shows the location of the sea lion at the top of its jump. From this location, the sea lion dove down 9 feet. Describe how to use the number line to find the new location of the sea lion.

Answers

Answer: on the number line it would go from 0 and with a positive line go to 3 and when it’s dive down it would with a negative line go 9 spaces towards the negative side of the number line and the answer would be -6 I think that kind of exsplains it step by step there but let me know if you information :) please leave a thanks and five stars I need some for my own quiz! Thank you!

Step-by-step explanation:

The standard deviation of a population is 13.
What is the margin of error?

Answers

Given the value of the standard deviation of  population, if the critical value is 0.65, the Margin of error will be 0.65.

What is margin of error?

Margin of error simply shows how many percentage points a results will differ from the real population value.

It can be expressed as;

Margin of error = Critical value × Standard deviation

Given that;

Standard deviation S = 13Margin of error = ?

Margin of error = Critical value × Standard deviation

Lets take critical value to be 0.05

Hence,

Margin of error = 0.05 × 13

Margin of error = 0.65

Therefore, given the value of the standard deviation of  population, if the critical value is 0.65, the Margin of error will be 0.65.

Learn more about margin of error here: https://brainly.com/question/10501147

#SPJ2

S= 2LW + 2LH + 2WH
solve for W

Answers

Rewrite the equation as

2lw+2lh+2wh=a.2lw+2lh+2wh=a

Subtract

2lh

from both sides of the equation.

2lw+2wh=a−2lh

Factor

2w out of 2lw+2wh.

2w(|+h)=w−2lh

Divide each term by

2(l+h)

and simplify.

.w=a−2lh2(l+h)

100 Points. Help solve.

Answers

Answer:

Step-by-step explanation:

[tex]\frac{8}{x} =cos 60\\\frac{8}{x} =\frac{1}{2} \\x=8 \times2=16\\\frac{y}{x} =sin60\\\frac{y}{16} =\frac{1}{\sqrt{2}} \\y=\frac{16}{\sqrt{2}} \\y=\frac{16}{\sqrt{2}} \times\frac{\sqrt{2}}{\sqrt{2}} \\y=\frac{16\sqrt{2}}{2} =8\sqrt{2}[/tex]

Answer:

the second option/x = 4, y = 8√3

Step-by-step explanation:

out of the tree options, the second one makes sense

Jane went on a 50-minute bicycle ride. Choose the graph that best matches the given key features. Y-intercept: Jane starts at 0 miles from her house…… PLEASE HELP ILL MARK BRAINLIEST

Answers

Explanation: the correct answer is C.

30 miles in 4 hours in simplest form

Answers

Answer:

15/2

Step-by-step explanation:

30/4=7.5convert the decimal to a fraction7.5 would give you 15/2 in fraction formsince you can't simplify 15/2 anymore, 15/2 would be your answer.

Please help me... it would be great!

Answers

3) 1 1/2 gallons for 3/4 of the room

Answer; 2 gallons for 4/4 of the room

4) 12 1/2 gallons drives 325 miles

Answer; 1 gallon drives 26 miles

Determine whether the equation is a linear equation in two variables. 5y = x - 5​

Answers

Answer:

Yes

Step-by-step explanation:

start with 5y=x-5

divide both sides by 5 to get:

y= x/5 - 1

since a linear equation is represented by y=mx+b, and this can be represented in that form, this is a linear equation.

TIME REMAININO
58:40
Which graph could represent a constant balance in a bank account over time?
Daily Balance
Daily Balance
Daily Balance
de
10
$
1378
Time (day)
1 2 3 4 5
Time day)
O
Daily Balance
35
Save and Exit
NE
Suband
Mark this and return

Answers

Dalit balance
Thanks hope you have a good day

The test statistic of
z=1.00
is obtained when testing the claim that
p>0.7.
a. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed.
b. Find the P-value.
c. Using a significance level of
α=0.10,
should we reject
H0
or should we fail to reject
H0?
This is a two tailed, right tailed or left tailed test?

Answers

We shall failed to reject the null hypothesis

PLEASE HELP ITS MATH THANK YOUUUU

Answers

Answer:

1 inch

Step-by-step explanation:

Equation:

2/9.4 = x/4.7

9.4 = 9.4x

x = 1

-Chetan K

If y varies directly with x which equation describes x = 72 and y = 36?

Answers

Answer:

k = 1/2

Step-by-step explanation:

direct variation equation is y = kx where 'k' is the constant of variation

substitute 36 for 'y' and 72 for 'x' to get:

36 = 72k

solve for 'k' to get:

k = 36/72 or k = 1/2

Help help help please please

Answers

Answer:

x = 50

Step-by-step explanation:

12 = 24% . x

12 = 24/100 . x

12 = 0.24x

12/0.24 = x

50 = x

Answer:

50 is the answer.

Step-by-step explanation:

12÷.24=50

to double check ur work do 50x.24 and it comes out to 12

What is the value of k?

2k+9=7−3k


k=−2

k=−0.4

k = 2

k = 3.2

PLEASE HELP !!!!!

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

[tex]k = -0.4[/tex]

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]2k+9=7-3k\\\rule{150}{0.5}\\\rightarrow 2k + 9 = 7-3k\\\\\rightarrow 2k + 3k + 9 = 7 - 3k + 3k\\\\\rightarrow 5k + 9 = 7\\\\\rightarrow5k + 9 - 9 = 7 - 9\\\\\rightarrow 5k = -2\\\\\rightarrow \frac{5k=-2}{5}\\\\\rightarrow \boxed{k = -\frac{2}{5} = -0.4}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

Blanca is considering selling her blossoming art business, but is unsure what fair value would be. A friend in accounting told her she could help if she can calculate her EBIT. She has sold 120 art collages for $300. Her expenses are minimal since she usually uses recycled materials. She estimates it costs her about $4 per collage and she has created 200 collages this year. Help her calculate her EBIT. Annual Revenue Annual Expenses, and EBIT​

Answers

Answer: 15x-4956

Step-by-step

this is

True or false? Please help.​

Answers

Answer:

True

Step-by-step explanation:

Vertical angles are angles that essentially opposite of eachother. Vertical angles are a pair of opposite angles formed by intersecting lines.

Answer:

True

Step-by-step explanation:

Vertical angles are angles that essentially opposite of eachother. Vertical angles are a pair of opposite angles formed by intersecting lines.

what are all the questions?‍♀️ step by step please

Answers

Answer:

which questions pls, where are they

need help with this plz

Answers

Answer:

[tex]x = \frac{ - 24 \pm \sqrt{ - 288} }{4} \\ = \frac{ - 24 \pm \sqrt{ ( - 1) {(12)}^{2} (2)} }{4} \\ = \frac{ - 24 \pm \sqrt{ - 1} \sqrt{ {12}^{2} } \sqrt{2} }{4} \\ = \frac{ - 24 \pm i 12\sqrt{2} }{4} \\ =-\frac{24}{4}\pm \frac{i12\sqrt{2}}{4}\\= - 6 \pm \: i3 \sqrt{2} [/tex]

The life of Sunshine CD players is normally distributed with a mean of 4.1 years and a standard deviation of 1.3 years. A CD player is guaranteed for three years. We are interested in the length of time a CD player lasts. Find the probability that a CD player will last between 2.8 and seven years. (a) Sketch the situation. Label and scale the axes. Shade the region corresponding to the probability. WebAssign Plot WebAssign Plot WebAssign Plot WebAssign Plot (b) Give the probability statement and the probability. (Enter exact numbers as integers, fractions, or decimals for the probability statement. Round the probability to four decimal places.) P < x < =

Answers

Using the normal distribution, we have that:

a) The sketch of the situation is given at the end of this answer.

b) The probability is:

[tex]P(2.8 \leq X \leq 7) = 0.8284[/tex]

In a normal distribution with mean and standard deviation , the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure is from the mean.  After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

In this problem:

Mean of 4.1 years, thus [tex]\mu = 4.1[/tex].Standard deviation of 1.3 years, thus [tex]\sigma = 1.3[/tex].

Item a:

The part between 2.8 and 7 years is shaded on the sketch given at the end of this answer.

Item b:

The probability is the p-value of Z when X = 7 subtracted by the p-value of Z when X = 2.8, thus:

X = 7:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{7 - 4.1}{1.3}[/tex]

[tex]Z = 2.23[/tex]

[tex]Z = 2.23[/tex] has a p-value of 0.9871.

X = 2.8:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{2.8 - 4.1}{1.3}[/tex]

[tex]Z = -1[/tex]

[tex]Z = -1[/tex] has a p-value of 0.1587.

0.9871 - 0.1587 = 0.8284, thus:

[tex]P(2.8 \leq X \leq 7) = 0.8284[/tex]

A similar problem is given at https://brainly.com/question/25151638

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