..............................

Answers

Answer 1

Answer:

[tex]x=17[/tex]

Step-by-step explanation:

[tex](6x+10)(x+17)(4x-34)[/tex]

[tex]6x+10+x+17+4x-34=180[/tex]

Add:- [tex]6x+x+4x=11x[/tex]

and [tex]10+17-34=-7[/tex]

So, [tex]11x-7=180[/tex]

Add 7 to both sides:-

[tex]11x=187[/tex]

Divide both sides by 11:-

[tex]\frac{11x}{11}=\frac{187}{11}[/tex]

[tex]x=17[/tex]

OAmalOHopeO


Related Questions

-4 is a whole number

Answers

Answer:

false

Step-by-step explanation:

a whole number is a number that doesnt contain a fraction or negative value

A car travels 1/8 mile in 2/13 minutes. What is the speed in terms of miles per minute?

Answers

Answer:

13/16 miles per minute

Step-by-step explanation:

Take the miles and divide by the minutes

1/8 ÷ 2/13

Copy dot flip

1/8 * 13/2

13/16 miles per minute

Solve the following system of equations
x^2+2y^2=59
2x^2+y^2=43

Answers

Answer: x = (-3,3), y = (-5,5)

Step-by-step explanation:

Add both of the equations together, for [tex]3x^{2}+3y^{2} = 102[/tex]. Now we can divide both sides by 3, getting[tex]x^2+y^2=34[/tex]. we subtract the first equation from our equation we just got, getting [tex]y^2=25[/tex] y= (5,-5). once we plug that in, we get [tex]50+x^2 = 59[/tex], [tex]x^2 = 9[/tex] x = (-3,3)

Juan borrowed $ 3, 500 from a credit union for 6 years and was charged simple interest at a rate of 4.97 %. What is the amount of interest he paid at the end of the loan?

Answers

Answer:

$4543.70

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Simple Interest Rate Formula: [tex]\displaystyle A = P(1 + rt)[/tex]

P is principle amountr is ratet is time

Step-by-step explanation:

Step 1: Define

Identify

P = 3500

t = 6

r = 4.97% = 0.0497

Step 2: Find Interest

Substitute in variables [Simple Interest Rate Formula]:                                 [tex]\displaystyle A = 3500(1 + 0.0497 \cdot 6)[/tex](Parenthesis) Multiply:                                                                                      [tex]\displaystyle A = 3500(1 + 0.2982)[/tex](Parenthesis) Add:                                                                                            [tex]\displaystyle A = 3500(1.2982)[/tex]Multiply:                                                                                                             [tex]\displaystyle A = 4543.7[/tex]

Which choice is equivalent to the fraction below? (Hint: Rationalize the
denominator and simplify.)
2-√2
2 + 2
A. 2.
B. 2-3
o
C. 3-2.12
D. 6 - 42

Answers

C. 3-2.12 because it equals that same amount.

During a Team scavenger hunt event, the average number of steps taken was 1800. Calculate the distance traveled using 10,000 steps = 5 miles. Using a time of 27 minutes to complete the event, calculate your average speed.

Answers

Answer:

The average speed was of 2 miles per hour.

Step-by-step explanation:

Average speed:

Average speed is distance divided by time.

Distance:

Solved by proportions, using rule of three.

1800 steps - x miles

10,000 steps - 5 miles

[tex]10000x = 5(1800)[/tex]

[tex]x = \frac{9000}{10000}[/tex]

[tex]x = 0.9[/tex]

Distance of 0.9 miles.

Using a time of 27 minutes to complete the event, calculate your average speed.

Distance of 0.9 miles in 27/60 of an hour. So

[tex]d = \frac{0.9}{\frac{27}{60}} = \frac{60(0.9)}{27} = 2[/tex]

The average speed was of 2 miles per hour.

6.) What are the coordinates of D, E and F after a reflection over the y-axis?

D'(-3,-3) E (5,0) F (2,2)
D'(3,3) E'(-5,0) F'(-2,-2)
D'(3,-3) E (0,5) F'(-2,2)

Answers

The correct answer is the second one, (3,3) (-5,0) (-2,-2)

7 x 5/6 simplified!!

Answers

Answer:

5 5/6

Step-by-step explanation:

7 x 5 = 35

35/6 = 5 5/6

Answer:

5 5/6

Step-by-step explanation:

7 * 5/6

7/1 * 5/6

Multiply the numerators

7*5 = 35

Multiply the denominators

1*6 = 6

Numerator over denominator

35/6

Change to a mixed number

6 goes into 35   5 times with 5 left over

5 5/6

Can someone explain how to solve this step by step? Thank you

Answers

Answer:

x=10

Step-by-step explanation:

Using the Rational Roots Test, we can say that the potential rational roots are

± (1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90).

Unfortunately, there doesn't really seem to be an easy way to figure out which numbers are actually roots outside of guess and check. Therefore, to solve this, we'll have to go through numbers until we hit something.

To make the process faster, I wrote a Python script as follows:

numbers = [1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90]

negative_numbers = [i * (-1) for i in numbers]

numbers = numbers + negative_numbers

for i in numbers:

   

   if (i**3 - 10*(i**2) + 9*i-90) == 0:

       print(i)

The result comes out as 10, meaning that 10 is our only rational root. Using the Factor Theorem, we can say that because 10 is a root, (x-10) is a factor of the polynomial. Using synthetic division, we can divide (x-10) from the polynomial to get

10 |   1     -10     9      -90

    |          10     0       90

    _________________

        1       0     9        0

Therefore, we can say that

(x³-10x²+9x-90)/(x-10) = (x²+0x+9), so

x³-10x²+9x-90 = (x-10)(x²+9)

As the only solution to x²+9=0 contains imaginary numbers, x=10 is the only solution to x³-10x²+9x-90 = (x-10)(x²+9) = 0

How many arrangements of the letters in the word "SCHOOLS" are there?

2,520
1,260
5,040

Answers

After careful consideration the answer is...

1,260

Hope I helped

~Alanna~

Answer:

1,260

Step-by-step explanation:

P=2L+2W; L=57, W=148 solve for P

Answers

Answer:

[tex]{ \bf{P = 2L + 2W}} \\ { \tt{P = 2(W + L)}} \\ { \tt{P = 2(148 + 57)}} \\ { \tt{P = 410}}[/tex]

Answer:

P=410

Step-by-step explanation:

2(57)+2(148)=114+296=410

The fourth term of an=(1/2)^n is

Answers

Answer:

[tex]1/16[/tex]

Step-by-step explanation:

The formula for the sequence [tex]a_n=\frac{1}{2}^n[/tex] is used to find the [tex]n[/tex]th term of the sequence.

To find the fourth term, substitute [tex]n=4[/tex]:

[tex]a_4=\left(\frac{1}{2})\right ^4,\\a_4=\frac{1^4}{2^4}=\boxed{\frac{1}{16}}[/tex]

Answer:

1/16

Step-by-step explanation:

the nth term is

[tex]a_{n} = (\frac{1}{2} )^{n}[/tex]

the 4th term is found by substituting n=4

[tex]a_{4} =(\frac{1}{2} )^{4} = \frac{1^{4} }{2^{4} } = \frac{1}{16}[/tex]

someone find x for me lol

Answers

Hi there!

[tex]\large\boxed{x = 60^o}[/tex]

We know:

∠AGB ≅ ∠DGC because they are vertical angles. They both are 90°.

∠AGE ≅ FGC because they are vertical angles, equal 30°.

∠BGF ≅ ∠DGE are vertical angles, both equal x.

All angles sum up to 360°, so:

360° = 90° + 90° + 30° + 30° + x + x

Simplify:

360° = 240° + 2x

Subtract:

120°  = 2x

x = 60°

here bro hope you answer,if you can't just blank it:)​

Answers

Answer:

DIRECTION: On your activity notebook, answer each of the following:

A. MODIFIED TRUE OR FALSE. Determine whether each statement is true or false. If the statement is false, explain why.

1. The total area under the normal distribution is infinite.False [its 1]

2. The standard normal distribution is a continuous distribution .True.

3. All variables that are approximately normally distributed can be transformed to standard normal variables.True

4. The z value corresponding to a number below the mean is always negative true..

5. The area under the standard normal distribution to the left of z-0 is negative.

True

To the nearest 100th feet, find the volume of a hollow cylinder having inner radius =150 in, outer radius= 170 in and the height = 220 in

Answers

Answer:

R1 = 150 in = 12.5 ft

R2 = 170 in = 14.167 ft

H = 220 in = 18.333 ft

Volume of solid cylinder = Pi * R^2 * H

So the volume of a hollow cylinder must be V = Pi * H * (R2^2 - R1^2)

V = 3.142 * 18.33 * (14.17^2 - 12.5^2) = 2565 ft^3

.

Responde las preguntas 10 y 11 con base al siguiente gráfico. A 10. ¿Cuáles son los nombres de los ángulos de color azul y rojo respectivamente? A. Obtuso y llano. B. Llano y obtuso. C. Obtuso y agudo. D. Agudo y llano. 11. ¿Cuáles son los colores de un ángulo agudo y uno recto respectivamente? A. Naranja y verde. B. Morado y rojo. C. Morado y naranja. D. Verde y naranja. firmaciones ac​

Answers

Answer:

10) Los ángulos en azul y rojo son llano y obtuso, respectivamente. (Respuesta: B)

11) Los ángulos agudo y recto están diferenciados por los colores morado y naranja, respectivamente. (Respuesta: C)

Step-by-step explanation:

Basándonos estrictamente en lo descrito en la figura, tenemos la siguiente clasificación por colores:

Agudo - Morado.

Plano o Recto - Naranja.

Obtuso - Rojo.

Llano - Azul.

Completo - Negro.

A continuación, se consigna las respuestas en forma de oración:

10) Los ángulos en azul y rojo son llano y obtuso, respectivamente. (Respuesta: B)

11) Los ángulos agudo y recto están diferenciados por los colores morado y naranja, respectivamente. (Respuesta: C)

y
Ау
What is the pre-image of vertex A' if the image shown
on the graph was created by a reflection across the y-
axis?
(-8. -6)
4-6. 8)
(8.6)
06. -
4
BY
-

Answers

Answer:

(- 6, 8 )

Step-by-step explanation:

Under a reflection in the y- axis

a point (x, y ) → (- x, y ) , then

A' (6, 8 ) → A (- 6, 8 )

Then the pre-image of A' is A (- 6, 8 )

The pre-image of vertex A' would be (-8, 6) on the graph was created by a reflection across the y- axis

The pre-image of vertex A' after a reflection across the y-axis can be found by taking the corresponding point on the other side of the y-axis.

If the image is shown on the graph, and vertex A' is located at (8, 6), then the pre-image of vertex A' would be the point on the opposite side of the y-axis, which has the same x-coordinate but the opposite sign for the y-coordinate.

So, the pre-image of vertex A' would be (-8, 6).

To know more about  vertex , here

https://brainly.com/question/21191648

#SPJ2

Robin will choose a movie from the Red Box when all movies are in stock. If she
randomly chooses a Romance, Comedy, or Action, what is the probability she will
choose a Romance?

Answers

25%

i’m doing this to high ten the characters i don’t think this answer is right i just need to rank up sorry queen or king


One number is 2 less than a second number.
Twice the second number is 16 more than 4 times
the first. Find the two numbers.

Answers

Answer:

x = one number

y = second number

Where,

x = y - 3

2y = 4x - 16

Multiply the first equation by 2 and substitute the second equation into it.

2(x=y-3) : 2x = 2y - 6

 

2x = (4x - 16) - 6

Combine like terms

2x = 4x - 22

2x - 2x + 22 = 4x - 2x -22 + 22

22 = 2x

22/2 = 2x/2

11 = x

Step-by-step explanation:

Simplify the expression3x 3√648x4y8

Answers

Answer:

= 1296x √ xy

Step-by-step explanation:

Apply exponent rule: a^b . a^c = a^b + c    3 . 3 = 3^ 1 + 1

= x . 3^1+1 √648x . 4y . 8

Add the numbers: 1 + 1 = 2

= x . 3^2 √648x . 4y . 8

= 3^2 . 144x √ xy

Refine

= 1296x √ xy

Find the height of a cone with a diameter of 12 m whose volume is 226m Use 3.14 for pi and round your answer to the nearest meter​

Answers

Answer:

6m

Step-by-step explanation:

h=3(/V πr^2)=3(226/ π·6^2)≈5.99484

round to 6

ALEKS questions driving me insane

Answers

Answer:

3000

growth

3.4

Step-by-step explanation:

Answer:

k bestie here we go again...

Initial price:  $3200

Function represents growth

Price increases by 4.1% every year

yo so ill give you a trick

the very first number in the equation is ALWAYS the initial price for exponential functions

if the decimal in the parantheses has a 1 in front of it (e.g. 1.041) it's ALWAYS going to be growth

To find how much it increases move the decimal forward by 2 places

PLEASE HELP ME ASAP (72 POINTS)

Answers

Answer:

d=10.45t

Step-by-step explanation:

The last one is the answer.

Hope this helps!

--Applepi101

Answer:

D) d=10.45t

Step-by-step explanation:

His distance(d) was 100. And his time(t) was 9.58 seconds.

So 100=9.58x

x≈10.44

The answer is D, because 10.45 is greater than 10.44.

I hope this helps!

The cost function in a computer manufacturing plant is C(x) = 0.28x^2-0.7x+1, where C(x) is the cost per hour in millions of dollars and x is the number of items produced per hour in thousands. Determine the minimum production cost.

Answers

9514 1404 393

Answer:

  $562,500 per hour

Step-by-step explanation:

The cost will be a minimum where C'(x) = 0.

 C'(x) = 0.56x -0.7 = 0

  x = 0.7/0.56 = 1.25

The cost at that production point is ...

  C(1.25) = (0.28×1.25 -0.7)1.25 +1 = -0.35×1.25 +1 = 0.5625

The minimum production cost is $562,500 per hour for production of 1250 items per hour.

_____

Additional comment

This is different than the minimum cost per item. This level of production gives a per-item cost of $450. The minimum cost per item is $358.30 at a production level of 1890 per hour.

p and q are two numbers.whrite down an expression of. a.) the sum of p and q. b) the product of p and q​

Answers

It’s b, if we increase the air pressure in that ballon then it’s normal pressure will decrease making it fall to the ground

The value of a car will “depreciate” over time. For example, a car that was worth $24 000 when it was new, is being sold for $13 500 three years later. Determine the annual depreciation rate on this car. Express your final answer as a percent, rounded to one decimal place.

Answers

Answer:

The car will depreciate at a rate of 21.14% per year.

Step-by-step explanation:

Given that the value of a car will “depreciate” over time, and, for example, a car that was worth $ 24,000 when it was new, is being sold for $ 13,500 three years later, to determine the annual depreciation rate on this car the following calculation must be performed:

13,500 x (1 + X) ^ 1x3 = 24,000

13,500 x (1 + 0.2114) ^ 3 = 24,000

X = 21.14%

Therefore, the car will depreciate at a rate of 21.14% per year.

*REVERSE PROPORTION*

Answers

9514 1404 393

Answer:

  33.3%

Step-by-step explanation:

The selling price of £42 is (1 +40%) times the total purchase price.

  1.40 × purchase price = £42

  purchase price = £42/1.40 = £30

The total profit is 40% of this, so is ...

  £30 × 40% = £12

The purchase price of the skirt is ...

  total cost - glove cost = skirt cost = £30 -3 = £27

The profit on the skirt is ...

  total profit - glove profit = skirt profit = £12 -100% × £3 = £9

Then the percentage profit on the skirt is ...

  skirt profit % = skirt profit / skirt cost × 100% = £9/£27 × 100% = 33.3%

The percentage profit on the cost of the skirt was 33.3%.

in a group of boys the number of arrangments of boys 4 boys is 12 times the number of arrangment of 2 boys the number of boys in the group is​

Answers

Answer:

4*12*2

Step-by-step explanation:

it will be the right answer

Answer:

There are 6 boys in group.

Step-by-step explanation:

Since we have given that

Number of arrangement of 4 boys = 12 times the number of arrangement of 2 boys.

So, Let the number of boys in the group be 'x'.

So, Number of boys in the group will be

\begin{gathered}x=\frac{12\times 2}{4}\\\\x=\frac{24}{4}\\\\x=6\end{gathered}

x=

4

12×2

x=

4

24

x=6

Hence, there are 6 boys in the group.

hope it helps you a follow would be appreciated

A set of solar batteries is used in a research satellite. The satellite can run on only one battery, but it runs best if more than one battery is used. The variance σ2 of lifetimes of these batteries affects the useful lifetime of the satellite before it goes dead. If the variance is too small, all the batteries will tend to die at once. Why? If the variance is too large, the batteries are simply not dependable. Why? Engineers have determined that a variance of σ2 = 23 months (squared) is most desirable for these batteries. A random sample of 30 batteries gave a sample variance of 16.3 months (squared). Using a 0.05 level of significance, test the claim that σ2 = 23 against the claim that σ2 is different from 23.

Answers

Answer:

Hence, we reject H_0 as There  is sufficient evidence to show that population variance is not 23

Step-by-step explanation:

From the question we are told that:

Sample size [tex]n=30[/tex]

Variance [tex]\sigma= 16.8[/tex]

Significance Level [tex]\alpha=0.05[/tex]

[tex]\sigma = 23[/tex]

Genet=rally the Hypothesis are as follows

Null [tex]H_0=\sigma^2=23[/tex]

Alternative [tex]H_a=\sigma^2 \neq 23[/tex]

Generally the equation for Chi distribution t is mathematically given by

t test statistics

[tex]X^2=\frac{(n-1)\sigma}{\sigma^2}[/tex]

[tex]X^2=\frac{(30-1)16.8^2}{23}[/tex]

[tex]X^2=355.86[/tex]

Therefore

Critical Value

[tex]P_{\alpha,df}[/tex]

Where

[tex]df=29[/tex]

[tex]P_{\alpha,df}=16.0471 and 45.7223[/tex]

[tex]X^2=45.7223[/tex]

Hence, we reject H_0 as There  is sufficient evidence to show that population variance is not 23

If land the domain of the following peicewise function f(x)={x^2 +2 if -6

Answers

Answer:

? what is this question asking

Step-by-step explanation:

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