What is the slope of the line that passes through the points (1, 1) and (9, 7)? 3/4 4/5 5/4 4/3

Answer: 6/25

Step-by-step explanation:

Number of vowels = 8

Number of consonants = 12

Total number of tiles in bag = (number of vowels + number of consonants)

Total = (12 + 8) = 20

Probability = (required outcomes / total possible outcome)

Probability of choosing a consonants = (number of consonants / total number of word tiles)

P( consonants) = 12 / 20 = 3/5

Since it is with replacement, total number of word tiles will still be 20

Probability of choosing a vowel = (number of vowels / total number of word tiles)

P( vowels) = 8 / 20 = 2/5

Therefore,

P(constant then vowel) = 3/5 * 2/5 = 6/25

Answer:

y = [tex]-\frac{2}{3} x[/tex] - [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

The line (l1) passes through (-2, 1) and is perpendicular to the line whose equation is;

3x - 2y = 5

Converting this equation to slope intercept form gives;

2y = 3x - 5

y = 1.5x - 2.5

Let the slope of the perpendicular line (l2) be m(PERP).

The product of slopes of two perpendicular lines is -1

The slope of our first line (l1) = 1.5

So 1.5 × m(PERP) = -1

m(PERP) = -1 ÷ 1.5 = [tex]-\frac{2}{3}[/tex]

Taking another point (x,y) on line (l2);

[tex]\frac{y - 1}{x + 2} = -\frac{2}{3}[/tex]

Cross multiplying this gives;

y = [tex]-\frac{2}{3} x[/tex] - [tex]\frac{1}{3}[/tex]

which is the equation of our second line (l2).

Answer:

y = x+4

Step-by-step explanation:

The slope intercept form of a line is

y = mx+b where m is the slope and b is the y intercept

y = 1x+4

y = x+4

Answer:

[tex]\boxed{y=x+4}[/tex]

Step-by-step explanation:

The slope-intercept form of a line:

[tex]y = mx+b[/tex]

m is the slope and b is the y-intercept

[tex]m=1\\b=4[/tex]

[tex]y = 1x+4[/tex]

Answer:

∠ G ≈ 38.9°

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos G = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{GH}{GI}[/tex] = [tex]\frac{7}{9}[/tex] , thus

∠ G = [tex]cos^{-1}[/tex] ([tex]\frac{7}{9}[/tex] ) ≈ 38.9° ( to the nearest tenth )

Answer:

At 2 drinks, the prices are equal. For 1 drink, Western Sizzlin is better since the buffet price is lower. From 3 drinks and up, Golden Corral is better.

Step-by-step explanation:

"Golden Corral charges $11 for a buffet plus $1 for each drink."

d + 11

"Western Sizzlin charges $9 for a buffet plus $2 for each drink."

2d + 9

Set the 2 cost functions equal:

2d + 9 = d + 11

d = 2

At 2 drinks, the prices are equal. For 1 drink, Western Sizzlin is better since the buffet price is lower. From 3 drinks and up, Golden Corral is better.

Answer:

See Below

Step-by-step explanation:

The relation is :

=> {(-5,0)(2,8)(2,15)(4,16)}

Domain => x inputs of the relation

Domain = { -5 , 2, 4}

Range => y inputs of the relation

Range = { 0 , 8 , 15 , 16}

Answer:

573 movies

Step-by-step explanation:

Here, we have 5 out of 6 movies having that cost

Therefore the rate we will be working with is 5/6

Now there are 687 new releases, the value that cost the given price range will be; 5/6 * 687 = 572.5 which is approximately 573

Answer:

[tex]2\sqrt{2} +2\sqrt{5}[/tex]

Step-by-step explanation:

i just got this one right

the kite has two pairs of congruent sides. using the distance formula, the two shorter sides=[tex]\sqrt{2}[/tex] (since there are two of those length sides, you multiply it by two). Again with the distance formula, the two longer sides=[tex]\sqrt{5}[/tex] (also multiply this by two).this gives the answer c or [tex]2\sqrt{2}+2\sqrt{5}[/tex]

Answer:

The answer is c [tex]\sqrt[2]{2}[/tex] + [tex]\sqrt[2]{5}[/tex] units. just took the test

Step-by-step explanation:

Answer:

m∠DEA = 62° and m∠ADB = 318°

Step-by-step explanation:

[tex]AB\left | \right |DC[/tex], - (Given)

m∠CB = 62° (Given)

we have;

m∠CB ≅ m∠DA (parallel lines congruent arc theorem)

m∠DA = 62° = m∠DEA

m∠DAB = 104° Given

Therefore, m∠AB = 104° - 62° = 42° (sum of angle)

m∠DC = 360 - 62 - 62 - 42 = 194°  (sum of angles around a circle)

m∠ADB = 360° - m∠AB (sum of angles around a circle)

Therefore, m∠ADB = 360° - 42° = 318°

The required angles are;

m∠DEA = 62° and m∠ADB = 318°

Answer:

50 km/hr * 2hr = 100km

80 km/hr * 2hr = 160km

using pythagorean theorem: x = sqrt((a^2)+(b^2))

x = sqrt ((100^2) + (160^2)

x = 188.67 km

Step-by-step explanation:

Answer:

  see below

Step-by-step explanation:

The cube root is defined for all real numbers, but squaring it makes the first term of F(x) be non-negative. Hence the domain of F(x) is all real numbers, and its range is [-2, ∞).

Shifting the function 2 units left does not change the domain.

Shifting the function 4 units up moves the range to [2, ∞).

Answer:

{RR,RY,RB,RG,YR,YY,YB,YG,BR,BY,BB,BG,GR,GY,GB,GG}

Step-by-step explanation:

A spinner has four equal-sized sections that are red(R), yellow(Y), blue(B), and green(G).

If the spinner is spun two times, the sample space is given as follows.

{RR,RY,RB,RG,YR,YY,YB,YG,BR,BY,BB,BG,GR,GY,GB,GG}

Answer:

no its not

Step-by-step explanation:

a repeating decimal is one that repeats a number but this is a terminating decimal since it stops.

Answer:

-4y=8-2x

Step-by-step explanation:

a guess

Answer:

y = 1/2 x -2

Step-by-step explanation:

2x – 4y = 8

Solve for y

Subtract 2x from each side

2x – 4y -2x= -2x+8

-4y = -2x+8

Divide each side by -4

-4y/-4 = -2x/-4  + 8/-4

y = 1/2 x -2

Answer:

2,280

Step-by-step explanation:

Step-by-step explanation:

the first answer is 72 as it is it

Answer:

The answer is 8.

Step-by-step explanation:

The product of 12 and 3 is 36. One-fourth of 36 is 9. 5 subtracted from 9 is 4.

Answer:

1,296

Step-by-step explanation:

Answer:

1,296

Step-by-step explanation:

Well 6 to the 4th power is also,

6*6*6*6 which is 1,296.

Answer:

40,000 baldosas

Step-by-step explanation:

Lo primero que debemos hacer aquí es calcular el área del patio rectangular.

El mejor enfoque para esto es convertir primero sus medidas a centímetros

Matemáticamente, 100 cm = 1 m, entonces 10 m se convierten en 1000 cm y 12 m se convierten en 1200 m.

El área de un rectángulo es L * B y, por lo tanto, tenemos 1200 * 1000 = 1,200,000 cm ^ 2

Ahora, para saber la cantidad de azulejos que tendrá el patio, necesitaremos dividir el área del patio por el área de los azulejos

Matemáticamente, eso sería 1,200,000 / 30 = 40,000 fichas

Answer:

IT'S D

Step-by-step explanation:

LOOK AT THE PATTERN AND YOU WILL UNDERSTAND.

Answer:

ii honestly think d

Step-by-step explanation:

Answer:

Step-by-step explanation:

(f ° g)(18) is another way of writing f(g(18)) which is telling you to evaluate function g at an x value of 18, then take that answer and plug it in for x in the function. Like this:

g(18) = 18 - 9 so

g(18) = 9. Now take that 9 and plug it into the f function in place of x:

f(9) = -8(9) + 8 and

f(9) = -72 + 8 so

f(9) = -64

Answer:

Does this sample provide convincing evidence that the machine is working properly?

Yes.

Step-by-step explanation:

Normal distribution test:

[tex]$z=\frac{x- \mu }{ \frac{\sigma}{\sqrt{n}} }=\frac{ (x-\mu)\sqrt{n}}{\sigma} $[/tex]

Where,

[tex]x: \text{ sample mean}[/tex]

[tex]\sigma: \text{ standard deviation}[/tex]

[tex]n: \text{ sample size determination}[/tex]

[tex]\mu: \text{ hypothesized size of the screw}[/tex]

[tex]$z=\frac{(1.476-1.5)\sqrt{200} }{0.203 } $[/tex]

[tex]$z=\frac{(-0.024)10\sqrt{2} }{0.203 } $[/tex]

[tex]z \approx -1.672[/tex]

Once the significance level was not given, It is usually taken an assumption of a 5% significance level.

Taking the significance level of 5%, which means a confidence level of 95%, we have a z-value of [tex]\pm 1.96[/tex]

Therefore, we fail to reject the null. It means that the hypothesis test is not statistically significant: the average length is not different from 1.5!

Answer:

Multiply both side by 6

Step-by-step explanation:

(m-2)/6 < - 1

Multiply both side by 6

(m-2)/6*6 < - 1*6

m-2 < -6

Add 2 m-2+2 < -6+2

m < -4

Answer:A

Step-by-step explanation:

Answer:

148.5 sq. ft.

Step-by-step explanation:

Since Jan wants to lay sod on it, Sod required will be equal to area of the lot.

Lot is in trapezium shape

area of trapezium is given by = 1/2(sum of parallel sides) height

parallel sides has length 15 and 18 feet

sum of parallel sides = (15+18) = 33

height = 9 feet

thus area of lot = 1/2(33)9 = 148.5

Thus, Jan will need 148.5 sq. ft of sod.

Answer:

Distance is 200m between each pole

Step-by-step explanation:

First, convert the length of the road into meters

        1km= 1000m

        1000m +200m= 1200m

There are 6 poles on the side and they're equally spaced

Divide the length of the road by the number of poles to get the distance between the poles

        Distance between poles= Length of road/ Number of poles

        Distance between poles= 1200m/ 6 poles

       Distance between poles= 200m

Answer:

I hope it helps :)

Explanation:

Answer:

y = 9x^2 + 12x - 12.

Step-by-step explanation:

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

y = 9x^2 - 6x + 18x - 12

y = 9x^2 + 12x - 12.

Hope this helps!

Answer:

Step-by-step explanation: The expected loss is 50 cents, we know that it is more likely to lose than win. It is therefore difficult to get-50, so the overall difference between the two possibilities is 2, 50/200=1/4, and the probability to win is 1/4, and the probability to lose is 3/4. Since (1/4)*3=3/4, the number of black balls is 3 times the number of white balls, so k=15.

Answer:

x= 1.09 and x= -0.461

Step-by-step explanation:

Hope it helps :) :)

Good luck!!