Two workers paint lines for angled parking spaces

[tex]\sf \bf {\boxed {\mathbb {TO\:FIND:}}}[/tex]

The measures of [tex]x[/tex] and [tex]y[/tex].

[tex]\sf \bf {\boxed {\mathbb {SOLUTION:}}}[/tex]

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {x\:=\: 210°\:and\:\:y\:=\: -30°}}}}}}[/tex]

[tex]\sf \bf {\boxed {\mathbb {STEP-BY-STEP\:EXPLANATION:}}}[/tex]

An exterior angle of a triangle is equal to sum of two opposite interior angles.

And so we have,

[tex] 40° = 70° + y[/tex]

[tex]➪ \: y= 40° - 70°[/tex]

[tex]➪ \: y = - 30°[/tex]

Also,

[tex]\sf\pink{Sum\:of\:angles\:on\:a\:straight\:line\:=\:180°}[/tex]

[tex]y[/tex] + [tex]x[/tex] = [tex]180°[/tex]

[tex]➪ \: -30° + x= 180°[/tex]

[tex]➪ \:x = 180° + 30°[/tex]

[tex]➪ \:x = 210°[/tex]

[tex]\sf\purple{Therefore,\:the\:measures \:of\:the\:unknown\:angles\:are\:"x=210°"\:and\:"y=-30°.}[/tex]

[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{ヅ}}}}}[/tex]

Answer:

g(-1 )=-1 and g(2)+g(1)=7

Step-by-step explanation:

If g(x) = x^3+x^2-x-2 find g(-1)

if we find g(-1)

we substitute all the x's in the function with -1

-1^3+-1^2-(-1)-2

-1^3 = -1

-1^2 = 1

-1+1+1-2

(two minuses make a plus)

-1+1 = 0

0+1 = 1

1-2 = -1

if x=-1, g(-1) is -1

g(2)+g(1)

substitute the x's in the function with 2 and 1 and add your results

2^3+2^2-2-2

2^3 = 8, 2^2 = 4

8+4-2-2

8+4= 12, 12-2 = 10, 10-2 = 8

g(2)=8

g(1) now

1^3 + 1^2-1-2

1^3=1, 1^2 = 1

1+1-1-2

1+1 = 2, 2-1 = 1, 1-2 = -1

g(3) = -1

g(2) (which equals 8) + g(3) (which equals -1) =

8+(-1) = 7

g(2)+g(3)=7

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Answer:

  B.  ∠A ≅ ∠E

Step-by-step explanation:

The similarity statement tells you the corresponding angles are ...

  ΔCAB ~ ΔCED

  ∠C ≅ ∠C . . . . listed first in the similarity statement

  ∠A ≅ ∠E . . . . listed second in the similarity statement

  ∠B ≅ ∠D . . . . listed third in the similarity statement

The relationship between angles A and E is properly shown in answer choice B.

Answer:

See image below for answer:)

Step-by-step explanation:

9514 1404 393

Answer:

  y = 21/x

Step-by-step explanation:

The inverse variation relation means ...

  y = k/x

For the given values, we can determine the constant k:

  3 = k/7

  3×7 = k = 21

Then the function is ...

  y = 21/x

Step-by-step explanation:

the true answers are:

A. f(-1)=6

D. the domain for f(x) is the set

{-2,-1,0,1,2,3,4,5,6}

tiệm cận ngang của đồ thị 3/x+3

9514 1404 393

Answer:

Step-by-step explanation:

a) Let p and d represent the prices of a bag of popcorn and a drink, respectively.

Mohamed's purchase is ...

  2p +3d = 18.25

Miguel's purchase is ...

  4p +2d = 27.50

__

b) We can subtract half the second equation from the first to get an equation for the cost of a drink.

  (2p +3d) -1/2(4p +2d) = (18.25) -1/2(27.50)

  2d = 4.50 . . . . . . simplify

  d = 2.25 . . . . . . divide by 2

  4p +2(2.25) = 27.50 . . . . substitute for d in the second equation

  4p = 23.00 . . . . . . . . . subtract 4.50

  p = 5.75 . . . . . . . . . divide by 4

The cost of a bag of popcorn is $5.75; the cost of a drink is $2.25.

Answer:

jjanation:jdgjdjgdjgjkdkidjgjghdjjghhkd

Answer:

x=[tex]\frac{10}{3}[/tex]

Step-by-step explanation:

Hi there!

We are given the equation -5(-3x+1)=45 and we need to solve for x

we do this by isolating x by itself on one side of the equation; the numbers (the value of x) is on the other side

First, do the distributive property and distribute -5 on -3x and 1 on the left side (multiply both -3x and 1 by -5)

15x-5=45

add 5 to both sides (-5+5=0)

15-5=45

   +5  +5

_________

15x=50

divide both sides by 15 (15÷15=1)

15x=50

÷15  ÷15

________

x=[tex]\frac{50}{15}[/tex]

we can simplify this fraction by factoring five out of 50 and 15

x=[tex]\frac{10*5}{3*5}[/tex]

cancel 5 out of the numerator and denominator

x=[tex]\frac{10}{3}[/tex]

The answer can be left as an improper fraction

Hope this helps! :)

Answer:

Franco comió 8/3 de pizza.

Fabián comió 5/6 de pizza.

Queremos saber quien comió más.

Entonces básicamente queremos ver cuál número es más grande, 8/3 o 5/6,

Podemos reescribir el primero como:

8/3 = (2 + 3 + 3)/3 = 2/3 + 3/3 + 3/3 = 2/3 + 1 + 1

      = 2 + 2/3

En cambio, para el número 5/6, el numerador es menor que el denominador, entonces sabemos que:

5/6  < 1

Claramente podemos ver que 8/3 > 5/6

Entonces podemos concluir que Franco comió más.

Answer:

A circle to start off, encompassing almost the entire figure, then a triangle, with D, A and C as its vertices, then a fan (a sector of a circle), with C, E and B as its vertices. Next, a chord (DA) which serves as a line segment at the same time, and finally three rays, starting from C and ending in A, B and E respectively. In total, six geometric figures.

Step-by-step explanation:

Hope this helped!

Replace r in the equation with 55 mph and solve for d.

D = 0.045(55)^r + 1.1(55)

Simplify:

D = 0.045(3025) + 60.5

D = 136.125 + 60.5

D = 196.625

At the speed limit of 55 mph the skid mark would be 196.625 feet long.

Because the skid mark was greater than that it was going faster than 55 mph.

To find the speed the car was going replace d with 250 and solve for r:

250 = 0.045r^2 + 1.1r

Multiply both sides by 1000 to remove decimals:

250000 + 45r^2 + 1100r

Subtract 250000 from both sides

45r^2 + 1100 -250000 = 0

Use the quadratic formula to solve:

R = -1100 + sqrt(1100^2 14x45(-250000) /(2 x45)

R = 63.308 miles per hour

The speed of the car was 63.3 miles per hour

Answer:

here is your answer

Step-by-step explanation:

here is your answer

Answer:

r≈17.85

Step-by-step explanation:

I believe this is correct, if not feel free to let me know and I will fix it. I'm sorry in advance if it is incorrect.

Answer:

r=17.85

Step-by-step explanation:

i just got it and did the math

Answer:

Option E. None of the above.

Step-by-step explanation:

From the question given above, the following data were obtained:

f(x) = (x – 5)/(2x + 3)

Inverse of f(x) => f¯¹(x) =?

Recall:

When a function f(x) is multiplied by it's inverse f¯¹(x), the result is equal to 1 i.e

f(x) × f¯¹(x) = 1

With the above information, we can determine the inverse of function given above as follow:

f(x) = (x – 5)/(2x + 3)

Inverse of f(x) => f¯¹(x) =?

f(x) × f¯¹(x) = 1

(x – 5)/(2x + 3) × f¯¹(x) = 1

f¯¹(x)(x – 5) / (2x + 3) = 1

Cross multiply

f¯¹(x)(x – 5) = (2x + 3)

Divide both side by (x – 5)

f¯¹(x) = (2x + 3) / (x – 5)

Thus, the inverse of the function is (2x + 3) / (x – 5).

Option E gives the correct answer to the question.

Step-by-step explanation:

If you use synthetic division, you get,

[tex]2x {}^{3} + 2x + 4 + \frac{0}{x + 2} [/tex]

Which is,

[tex]2x {}^{3} + 2x + 4[/tex]

Answered by GAUTHMATH

Answer:

The correct answer is:

2x^3+2x+4

Step-by-step explanation:

I got it right on the Plato test.

Step-by-step explanation:

The radius r is 5 in (r = D/2). so the volume V of the beach ball is

[tex]V= \dfrac{4 \pi}{3}r^3 = \dfrac{4 \pi}{3}(5\:\text{in})^3[/tex]

[tex]\:\:\:\:\:= 523.6\:\text{in}^3[/tex]

Answer:

V = L^3      where v is volume and L the length of one side

A = 6 * L^2    total area of cube with side L

A = 6 * V^2/3      area of cube expressed in V

A2 / A1 = (V2 / V1)^2/3       6 cancels

A2 / A1 = 8^2/3 = 4      ratio of areas

Answer:

1. k = 15

2. d = 20

3. n = 3

Answer:

1.5

tan45=1

sin30=1/2

so 1+1/2=1.5 or 3/2

Answer:

D. 91%

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Less than 15 minutes.

Event B: Less than 10 minutes.

We are given the following probability distribution:

[tex]f(T = t) = \frac{3}{5}(\frac{5}{t})^4, t \geq 5[/tex]

Simplifying:

[tex]f(T = t) = \frac{3*5^4}{5t^4} = \frac{375}{t^4}[/tex]

Probability of arriving in less than 15 minutes:

Integral of the distribution from 5 to 15. So

[tex]P(A) = \int_{5}^{15} = \frac{375}{t^4}[/tex]

Integral of [tex]\frac{1}{t^4} = t^{-4}[/tex] is [tex]\frac{t^{-3}}{-3} = -\frac{1}{3t^3}[/tex]

Then

[tex]\int \frac{375}{t^4} dt = -\frac{125}{t^3}[/tex]

Applying the limits, by the Fundamental Theorem of Calculus:

At [tex]t = 15[/tex], [tex]f(15) = -\frac{125}{15^3} = -\frac{1}{27}[/tex]

At [tex]t = 5[/tex], [tex]f(5) = -\frac{125}{5^3} = -1[/tex]

Then

[tex]P(A) = -\frac{1}{27} + 1 = -\frac{1}{27} + \frac{27}{27} = \frac{26}{27}[/tex]

Probability of arriving in less than 15 minutes and less than 10 minutes.

The intersection of these events is less than 10 minutes, so:

[tex]P(B) = \int_{5}^{10} = \frac{375}{t^4}[/tex]

We already have the integral, so just apply the limits:

At [tex]t = 10[/tex], [tex]f(10) = -\frac{125}{10^3} = -\frac{1}{8}[/tex]

At [tex]t = 5[/tex], [tex]f(5) = -\frac{125}{5^3} = -1[/tex]

Then

[tex]P(A \cap B) = -\frac{1}{8} + 1 = -\frac{1}{8} + \frac{8}{8} = \frac{7}{8}[/tex]

If given the train arrived in less than 15 minutes, what is the probability it arrived in less than 10 minutes?

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{\frac{7}{8}}{\frac{26}{27}} = 0.9087[/tex]

Thus 90.87%, approximately 91%, and the correct answer is given by option D.

Answer:

Surface Area = 54 in^2

Step-by-step explanation:

SA = [tex]6a^{2}[/tex]

SA = [tex]6(3)^2[/tex]      Solve for the exponents first

SA = 6(9)       Then multiply

SA = 54 square inches

Answer:

The answer is A

Step-by-step explanation:

just took it on egde

Answer:

6x coefficient is 6. the number next to the letter

Step-by-step explanation:

Answer:

C. she is not beautiful and not clever.

Step-by-step explanation:

A. she is beautiful but not clever. B. she is beautiful and clever

C. she is not beautiful and not clever.

D. she is beautiful or not clever.

p: she is beautiful

q :she is clever

~p^ (~q) in verbal form

~p = she is not beautiful

~q = she is not clever

~p^ (~q) = she is not beautiful and not clever.

C. she is not beautiful and not clever.

Answer:

5

Step-by-step explanation:

WHen we raise a power to a power, we multiply them, in this case 5 is the base so we can just ignore it for now and replace it with x.

(X^1/3)^3

Multiply 1/3 by 3 and we get 1

So:

X^1

Which does nothing, so we can simplify to just:\

X

Remember x is 5 so the answer is:

5

Answer: 4)

Step-by-step explanation: angles 2 and 3 equal 7 because they are both missing angle 4 to make it either 180 degrees or 360 degrees respectively.