An escalator lifts people to the second floor of a​ building,34ft above the first floor. The escalator rises at a 30 degree angle. To the nearest​ foot, how far does a person travel from the bottom to the top of the​ escalator?

Answer:

the percentage of profit is 45%

Answer:

He saved a total of $20

Step-by-step explanation:

first substract the percent of the original price to get how much he payed.

Then add the original prices together and from that substract how much Ben payed.

Answer:

$20

Step-by-step explanation:

25% of $32=8

32-8=24

30% of $40=12

40-12=28

$24+$28=$52

$40+$32=$72

$72-$52=$20

Answer:

A'(2,2) B'(0,0) C'(-2,-2) ; 1/4 ; A

Step-by-step explanation:

You are multiplying ALL of the points by a SCALE FACTOR (basically the # of which you are gonna multiply in this case, 1/4) of 1/4

Scale factor is 1/4

So divide each by 4

#A

#B

#C

By hit and trial of each option and also by graph, solutions to f(x) = 3ˣ and  g(x)=2x-1 will be 0 and 1.

given functions are,

[tex]f(x) = 3^x\\\\g(x) = 2x+1[/tex]

let us put x=0

f(0) = 1

g(0) = 1

f(0)=g(0)=1

so 0 will be a solution.

let us put x=1

f(1)= 3

g(1) = 3

f(1)=g(1)=3

so 1 will be also a solution

let us put x=2

f(2) = 9

g(2) = 5

f(2)≠g(2)

so 2 will not be solution.

x=-2 and x=-1 clearly will not be solution because,

g(-2) = negative value but f(x) cannot be negative, being an exponential function.

Any function in form f(x)= pˣ, where p≥1, is called an exponential function.

therefore, solutions to f(x) = g(x) will be 0 and 1.

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The total amount of the initial deposit of Natalie account when she opened the account is $225.

Simple interest is the amount charged on the principal amount with a fixed rate of interest for a time period. Simple interest calculated only on the principal amount.

The formula for the simple interest can be given as,

[tex]I=\dfrac{Prt}{100}[/tex]

Here, (I) is the interest amount earned on the principal amount of (P) with the rate of (r) in the time period of (t).

Natalie opened a bank account that earns 2. 5% simple interest.

Natalie's account earned $180 over the period of 10 years. The interest amount she earned is,

[tex]I=\dfrac{Prt}{100}\\I=\dfrac{180\times2.5\times10}{100}\\I=45[/tex]

The interest amount she earned is $45 and the initial amount was $180. Thus, the total amount,

[tex]A=P+I\\A=180+45\\A=225[/tex]

Thus, the total amount of the initial deposit of Natalie account when she opened the account is $225.

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Answer:

10

Step-by-step explanation:

According to the Pythagorean theorem

x²=6²+8²=100

x=√100

x=10

Answer:

B. Root 74

Step-by-step explanation:

a^2 + b^2 = c^2

5^2 + 7^2 = c^2

74. = c^2

Square root

C is root 74

Hope this helps!

The weight would give a newborn a z-score of −0. 75 with mean 3500 g and standard deviation 500 g is 3125 grams.

Normally distributed data is the distribution of probability which is symmetric about the mean.

The mean of the data is the average value of the given data. The standard deviation of the data is the half of the difference of the highest value and mean of the data set.

A newborn who weighs 2,500 g or less has a low birth weight. use the information on he right to find the z score of a 2,500 g baby.

From the given parameters, the mean of the data is,

[tex]\mu=3500[/tex]

The standard deviation of the data is,

[tex]\sigma=500[/tex]

Thus, the z score can be given as,

[tex]z=\dfrac{x-\mu}{\sigma}\\-0.75=\dfrac{x-3500}{500}\\x=3125[/tex]

Hence, the weight would give a newborn a z-score of −0.75 with mean 3500 g and standard deviation 500 g is 3125 grams.

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Answer:

[tex]y=24[/tex]

Step-by-step explanation:

Given:

[tex]y=kx[/tex]

Substitute:

[tex]\left \{ {{y=12} \atop {x=2}} \right.[/tex] into [tex]y=kx[/tex]

[tex]12=k\times2[/tex]

Swap the sides:

[tex]k\times2=12[/tex]

Divide both sides of the equation by the coefficient of variable:

[tex]k=\frac{12}{2}[/tex]

Cross out the common factor:

[tex]k=6[/tex]

Find the equation of the function:

[tex]y=6x[/tex]

Substitute:

[tex]y=6\times4[/tex]

Calculate the product or quotient:

[tex]y=24[/tex]

Answer:

x=Sin-1(0.470584)

x=28.1°

Step-by-step explanation:

Sin90°/17 =Sin x°/8

0.058823 = Sin x°/8

8(0.058823)=Sin x°

x°=Sin-1(0.470584)

x=28.1°

8.75n=61.25

Jose made a total of 61.25 dollars, so the equation would have to equal to 61.24. He worked a certain number of hours and made 8.75 dollars per hour, so that means you have to multiply.

Answer:

8.75n =61.25 then make the equation equal to n which will make 61.25 ÷ 8.75 = n

Step-by-step explanation:

E

Answer:

The vertex form would be  y =  (x+2)^2

The factored form would be y = (x-2)(x-2)

The standard form would be y = x^2-4x+4

Step-by-step explanation:

To find this, you know that the vertex is 2 left from the center, so you have h = -2, and k = 0 since it isnt shifted up. The graph isn't shifted up either, so a=1.

The vertex form would be:  y = a(x-h)^2+k

                                                 =  (x+2)^2

The factored form would be y = (x-2)(x-2)

The standard form would be y = x^2-4x+4

Your welcome, and comment if you have any questions! :D

Answer:

yes

Step-by-step explanation:

Answer:

12/15

Step-by-step explanation:

If the probability of drawing a read marble is 3/15

Then that would just make the probability of NOT drawing a red marble 12/5

Answer:

[tex]\left(-34, \dfrac{33}{2}\right)[/tex]

Step-by-step explanation:

Create a linear equation for line AB and line CD

Find slope using slope formula [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

then use point-slope form of linear equation [tex]y-y_1=m(x-x_1)[/tex]

(where m is the slope and [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are two points on the line)

Line AB

[tex]m=\dfrac{-16+1}{-8+20}=-\dfrac54[/tex]

[tex]\implies y+1=-\dfrac54(x+20)\\\\\implies y=-\dfrac54x-26[/tex]

Line CD

[tex]m=\dfrac{0+11}{-19+9}=-\dfrac{11}{10}[/tex]

[tex]\implies y+11=-\dfrac{11}{10}(x+9)\\\\\implies y=-\dfrac{11}{10}x-\dfrac{209}{10}[/tex]

To find the point of intersection, equate the equations and solve for x::

AB = CD

[tex]\implies -\dfrac54x-26=-\dfrac{11}{10}x-\dfrac{209}{10}[/tex]

[tex]\implies -\dfrac{3}{20}x=\dfrac{51}{10}[/tex]

[tex]\implies x=-34[/tex]

Substitute found value of x into one of the equations and solve for y:

[tex]y=-\dfrac54(-34)-26=\dfrac{33}{2}[/tex]

Therefore, point of intersection is  [tex]\left(-34, \dfrac{33}{2}\right)[/tex]

Answer:

weight not defined

Step-by-step explanation:

The cost of 20⅕ oranges is rs 300 ,what is the cost of a kg oranges?

HOW ARE WE SUPPOSE TO KNOW THE WEIGHT IF ONLY THE PRICE IS GIVEN

Answer:

£40000

Step-by-step explanation:

→ Set up an equation

x × 0.6 = 24000

→ Divide both sides by 0.6

x = 24000 ÷ 0.6 = 40000

Answer:

a. 28

b. 18

Step-by-step explanation:

a. 35% = .35 so .35 * 80 = 28

b. 3/4 = .75 because 3 divided by 4 = .75 so .75 * 24 = 18

we divide them and keep the quotient as decimals.

=) 4÷3 = 1.33

=) 9÷4 = 2.25

Answer:

D) 140

Step-by-step explanation:

That should be your answer

Answer:

Formula for area is length times width

So 2x × x = 2x^2

E. G.

2×2×2=8

And can also be written as 2^3

Meaning 2×2×2

So in this instance x × x=x^2

In front of the length x imagine a 1

So 2×1=2

Therefore 2x^2

Answer:

Area = 2x²

Step-by-step explanation:

Area = L x W

L = 2x

W=x

 x*2 =2x

x*x =x²

 Area = 2x²

Answer:

450 milage

Step-by-step explanation:

45 multiple 10

450 milage

Answer:

equal

Step-by-step explanation:

A negative negative is positive

We are comparing +5 to +5

They are equal

+5 = +5

Both are same

5

-(-5)

=5

As we know -×- = + sign

Answer:

the doctors should be taken as the actual height because it was measured not estimated.

Answer:

I think the answer will be 18

Answer:

12

Step-by-step explanation:

(5 - 1) X 3

4 x 3

12

Have an amazing day!

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Answer:

x = 50

y= 40

Step-by-step explanation:

Step-by-step explanation:

[tex]\sf\green{x = 45° (diagonals \: \: of \: \: rectangle \: \: bisect \: \: eachother)}

\sf\green{y = 45° (diagonals \: \: of \: \: rectangle \: \: bisect \: \: eachother)}[/tex]

Answer:

60% of 25 = 15 and 2.52

Step-by-step explanation:

Answer:

60% of 25 should be 15.

for question 2: its 48

Step-by-step explanation:

1) 2.4 = 5% × Y

STEP 2: 2.4 = 5/100 x Y

Multiplying both sides by 100 and dividing both sides of the equation by 5 we will arrive at:

STEP 3 Y = 2.4 × 100/5

STEP 4) Y = 2.4 × 100 ÷ 5

STEP 5) Y = 48

Finally, we have found the value of Y which is 48 and that is our answer.

The percentage shows that number of people that were surveyed is 866.

Let the number of people surveyed be x.

Therefore, from the question given and the percentage, the calculation goes thus:

82% × x = 710

0.82x = 710

x = 710/0.82

x = 866

The number of people surveyed is 866.

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