Question 17 and 18 plz show ALL STEPS and HELP ME ASAP

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

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

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.

Answer:

x = 46°

Step-by-step explanation:

Since 2 legs of the triangle are congruent, then the triangle is isosceles with the 2 base angle congruent , then

x = [tex]\frac{180-88}{2}[/tex] = [tex]\frac{92}{2}[/tex] = 46°

The given triangle is an isosceles triangle, where two sides and two angles are congruent.

The value of x is 46 degrees

Because the triangle is isosceles, and the base angles are x.

The following equation can be used to solve for x

[tex]x + x + 88 = 180[/tex] --- sum of angles in a triangle

So, we have:

[tex]2x + 88 = 180[/tex]

Collect like terms

[tex]2x =- 88 + 180[/tex]

[tex]2x =92[/tex]

Divide both sides by 2

[tex]x =46[/tex]

Hence, the measure of x is [tex]46^o[/tex]

Read more about isosceles triangles at:

https://brainly.com/question/16719933

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)

Answer:

1 truck per hour

Step-by-step explanation:

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

Answer:

the answer is C. 16/t

Step-by-step explanation:

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

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

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)

Answer:

20

Step-by-step explanation:

100 + 60 = 160

There are 180 degrees in a triangle so we do 180-160 = 20

Answer:

D. g(x) = 1/2 × x²

Step-by-step explanation:

we need to pick the function that delivers

g(2) = 2

as the given point shows the coordinates (2, 2).

that means x=2, y=g(x)=2

A. for x=2

1/4 × x² = 1/4 × 2² = 1/4 × 4 = 1

wrong, as we need 2 as result.

B. for x=2

(x/2)² = (2/2)² = 1² = 1

wrong

C. for x=2

2×x² = 2×2² = 2×4 = 8

wrong

D. for x=2

1/2 × x² = 1/2 × 2² = 1/2 × 4 = 2

correct

Answer:

60t + 55t = 150

Step-by-step explanation:

I took the test. I know it's correct!!!

Answer:

1577.8 US dollars are received for 1127 UK pounds.

5669.5 UK pounds are received for US$7937.3.

Step-by-step explanation:

The questions are solved by proportions, using a rule of three.

How many US dollars are received for 1127 UK pounds?

1 UK pound = 1.4 US dollars

1127 UK pounds - x US dollars

Applying cross multiplication:

[tex]x = 1127*1.4 = 1577.8[/tex]

1577.8 US dollars are received for 1127 UK pounds.

How many UK pounds are received for US$7937.3?

1 UK pound = 1.4 US dollars

x UK pounds - 7937.3 US dollars

[tex]1.4x = 7937.3[/tex]

[tex]x = \frac{7937.3}{1.4}[/tex]

[tex]x = 5669.5 [/tex]

5669.5 UK pounds are received for US$7937.3.

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]

Answer:

$4543.70

General Formulas and Concepts:

Pre-Algebra

Algebra I

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

Step-by-step explanation:

Step 1: Define

Identify

P = 3500

t = 6

r = 4.97% = 0.0497

Step 2: Find Interest

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°

Answer:

[tex]-\frac{10}{3}<x<2\:[/tex]

Step-by-step explanation:

Rewrite in standard form: [tex]3x^2+4x-20<0[/tex]

Factor: [tex]\left(x-2\right)\left(3x+10\right)<0[/tex]

Solve individually for x:

[tex]x-2<0\\x<2[/tex]

[tex]3x+10<0\\3x<-10\\x<\frac{-10}{3}[/tex]

Combine:

[tex]-\frac{10}{3}<x<2\:[/tex]

After careful consideration the answer is...

1,260

Hope I helped

~Alanna~

Answer:

1,260

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

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

.

Step-by-step explanation:

3*4*2=24

Even if he doesn't use them all, he has 24 choices.

These kind of problems are permutation type problem. Order is not critical. Imagine yourself preparing such a meal. You have choices to be made in Sandwiches, fruits and drinks. It does not matter which order you set up the lunch box. It only matters that you chose.

You can't leave one out, nor does the problem allow you to trade (say) 2 drinks for one fruit.

Answer:

look at diagram above. Use y=mx+c

Step-by-step explanation:

a.2+9-5=6

b.-9+1=-8

c.7(-36+50/120)2

=7(24/120)2

Answer:

0.6 = 60% probability that he or she studies on a weeknight.

Step-by-step explanation:

We solve this question treating these events as Venn probabilities.

I am going to say that:

Probability A: Probability of a student studying on weeknights.

Probability B: Probability of a student studying on weekends.

Forty-two percent of students said they study on weeknights and weekends

This means that [tex]P(A \cap B) = 0.42[/tex]

47% said they studied on weekends

This means that [tex]P(B) = 0.47[/tex]

65% said they study either on weeknights or weekends.

This is [tex]P(A \cup B) = 0.65[/tex]

If you were to pick one student at random, what is the probability that he or she studies on a weeknight?

This is P(A), and the equation used is:

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]

Considering the values we have:

[tex]0.65 = P(A) + 0.47 - 0.42[/tex]

[tex]0.05 + P(A) = 0.65[/tex]

[tex]P(A) = 0.6[/tex]

0.6 = 60% probability that he or she studies on a weeknight.

Answer: 60% joaobezerra Is Right, and Confirmed by Buzz (Acceleration Education)

Step-by-step explanation:

We solve this question by treating these events as Venn probabilities. Forty-two percent of students said they study on weeknights and weekends. This means that 47% said they studied on weekends. This means that 65% said they study either on weeknights or weekends. This is If you were to pick one student at random, what is the probability that he or she studies on a weeknight?

0.6 = 60% that he or she studies on a weeknight.

So you definately wrote something wrong but I will assume the 6x^2 was meant to be just 6x.

2x^2 + 6x + 2 = 0

x^2 + 3x + 1 = 0

I can't seem to find a better way than to simply use the quadratic formula:

(-3 + sqrt(9 - 4*1*1))/2 [tex]\approx[/tex] -0.382

(-3 - sqrt(9 - 4*1*1))/2 [tex]\approx[/tex] -2.62

So the zeroes for this function are at

(-0.382, 0) and (-2.62, 0)

Or exactly:

((-3 + sqrt(9 - 4*1*1))/2, 0) and ((-3 - sqrt(9 - 4*1*1))/2, 0)