What is the unknown factor 9 times p equals 45

Answer:

They will meet at 3836 meters

Step-by-step explanation:

Maya is at 7832 meters

Juan is at -160 meters  ( below sea level)

If they are meeting at the midpoint, we add them together and divide by 2

Midpoint = (7832 + -160)/2

               = (7672)/2

               =3836 m

Answer:

The midpoint elevation will be 3,836 meters.

Step-by-step explanation:

Maya's elevation of 7832 can be represented by the positive integer +7832 since she is above sea level.  Sea level would represent 0 on our number line.  However, Juan is below sea level, so we can represent his distance at -160.  When we add these two integers together +7832 + (-160) = 7672 meters above sea level.  Since Maya and Juan are going to meet at the midpoint, we would divide our overall distance (7672) by two to get 3836 meters.  

Answer: 1,596 cubic cm. To find the volume, you need to multiply all the three sides given.

Step-by-step explanation:

12cm * 7 cm* 19cm = 1596 cm^3

The volume of the box given the length, width and height is 1,596 cm³

Given:

Length of the box = 12cm

Width of the box = 7 cm

Height of the box = 19 cm

Volume of the box = length × height × width

= 12 cm × 7 cm × 19 cm

= 1596 cm³

Therefore, the volume of the box is 1,596 cm³

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Answer:

So, total gallons were made in all =9.31 gallons

Step-by-step explanation:

We are given

A scientist repeated an experiment three times, making 1.42, 3.81, and 4.08 gallons of a new product

so,

first experiment =1.42 gallons

Second experiment =3.81 gallons

Third experiment =4.08 gallons

now, we can find total gallons

total gallons = first experiment + second experiment + third experiment

total gallons =1.42 gallons + 3.81 gallons +4.08 gallons

total gallons =9.31 gallons

Answer:

The second one that starts with 3

Step-by-step explanation:

To know if it's a function , check all the domains and make sure there are no repeating ones, if there is a repeating domain , it's not a function

Answer:

407.22 foot is the boat from the base of the lighthouse

Step-by-step explanation:

Given the statement: An observer on top of a 50-foot tall lighthouse sees a boat at a 7° angle of depression.

Let x foot be the distance of the object(boat) from the base of the lighthouse

Angle of depression = [tex]7^{\circ}[/tex]

[tex]\angle CAB = \angle DCA = 7^{\circ}[/tex]       [Alternate angle]

In triangle CAB:

To find AB = x foot.

Using tangent ratio:

[tex]\tan (\theta) = \frac{Opposite side}{Adjacent Base}[/tex]

[tex]\tan (\angle CAB) = \frac{BC}{AB}[/tex]

Here, BC = 50 foot and [tex]\angle CAB =7^{\circ}[/tex]

then;

[tex]\tan (7^{\circ}) = \frac{50}{x}[/tex]

or

[tex]x = \frac{50}{\tan 7^{\circ}}[/tex]

[tex]x = \frac{50}{0.1227845609}[/tex]

Simplify:

AB = x = 407.217321 foot

Therefore, the boat from the base of the light house is, 407.22'

Using the tangent of the angle of depression, the distance from the boat to the base of the lighthouse is calculated to be approximately 407 feet.

To solve this problem, we need to use trigonometry. The angle of depression from the observer at the top of the lighthouse to the boat is the same as the angle of elevation from the boat to the observer because these angles are alternate interior angles formed by parallel lines (the water's surface and the height level at the observer's eyes) and a transversal (the line of sight from the observer to the boat).

We have a right triangle where the lighthouse height is the opposite side to the angle of elevation, and the distance from the boat to the lighthouse is the adjacent side. Using the tangent function, which relates the opposite side to the adjacent side in a right angle triangle, we can set up the following equation:

tangent(7°) = opposite/adjacent or tan(7°) = 50/adjacent

So the adjacent side, which is the distance to the boat, is:

adjacent = 50 / tan(7°)

Using a calculator we find:

adjacent ≈ 50 / 0.1228 ≈ 407.2 feet

Thus, to the nearest foot, the boat is approximately 407 feet away from the base of the lighthouse.

Answer:

Option D is correct.

An equation: h = 28000 -2000m

Step-by-step explanation:

Let h represents the height of the airplane and m represents the minutes.

As per the given statement: An airplane 28,000 feet above ground begins descending at a constant rate of 2,000 feet per minute.

At ground m = 0

h(0) = 28000 feet.

⇒ An airplane descending at a constant rate (r) = - 2000 feet per minute

then,

height(h) of the airplane after m minutes is given by:

h(m) = 28000 - rm ; where r is the rate descending at constant rate and m is the minutes.

Substitute the given values we get;

h(m)= 28000 -2000m

Therefore, an equation which gives the height, h of the airplane after m minutes is; h = 28000 -2000m

Answer:

It IS D) h = 28,000 − 2,000m!

Step-by-step explanation:

Answer:

42 digits right of the decimal point.

Step-by-step explanation:

Trailing zeroes are those which we get in decimal representation and after that there comes no digit.

We have been given the expression:

[tex]0.4^{24}\cdot 0.375^{22}[/tex]

We will simplify it to get the result that is the right of the decimal point.

[tex]1.19709242282867431640625\cdot 10^{-19}[/tex]

When we will operate [tex]10^{-19}[/tex] that means decimal point will be shifted 19 digits left of its present position.

Hence, we get:

[tex].000000000000000000119709242282867431640625[/tex]

Hence, 42 digits right of the decimal point.

Answer:

42

Step-by-step explanation:

The speed of the first car was 6 miles/hour

Acceleration is rate of change of velocity.

[tex]\large {\boxed {a = \frac{v - u}{t} } }[/tex]

[tex]\large {\boxed {d = \frac{v + u}{2}~t } }[/tex]

a = acceleration ( m/s² )

v = final velocity ( m/s )

u = initial velocity ( m/s )

t = time taken ( s )

d = distance ( m )

Let us now tackle the problem!

Given:

Distance between two cars = d = 10 miles

Time Taken = t = 1 hour

Distance covered by the first car = d₁ = 2 + d₂

Unknown:

Speed of the first car = v₁ = ?

Solution:

[tex]d = d_1 + d_2[/tex]

[tex]10 = ( 2 + d_2 ) + d_2[/tex]

[tex]10 = 2 + 2d_2[/tex]

[tex]10 - 2 = 2 d_2[/tex]

[tex]8 = 2 d_2[/tex]

[tex]d_2 = 8 \div 2[/tex]

[tex]d_2 = 4 \texttt{ miles}[/tex]

[tex]\texttt{ }[/tex]

[tex]d_1 = 2 + d_2 = 2 + 4 = 6 \texttt{ miles}[/tex]

[tex]v_1 = d_1 \div t = 6 \div 1 = 6 \texttt{ miles/hour}[/tex]

Grade: High School

Subject: Physics

Chapter: Kinematics

Keywords: Velocity , Driver , Car , Deceleration , Acceleration , Obstacle

The speed of the first car is [tex]\boxed{6{\text{ mph}}}[/tex] and the speed of the second car is [tex]\boxed{4{\text{ mph}}}.[/tex]

Further explanation:

The formula of the speed can be expressed as follows,

[tex]\boxed{{\text{Speed}} = \frac{{{\text{Distance}}}}{{{\text{Time}}}}}[/tex]

The formula of the time can be expressed as follows,

[tex]\boxed{{\text{Time}} = \frac{{{\text{Distance}}}}{{{\text{Speed}}}}}[/tex]

Given:

The distance between the two cars is [tex]10{\text{ miles}}.[/tex]

The first car covered 2 miles more than the second car.

Explanation:

Consider the speed of the second car be “[tex]x[/tex]”.

Consider the speed of the first car be “[tex]x+2[/tex]”.

The distance covered by the first car in one hour is [tex]x + 2{\text{ miles}}.[/tex]

The distance covered by the second car in one hour is [tex]x{\text{ miles}}.[/tex]

The total distance covered by two cars is [tex]10{\text{ miles}}.[/tex]

[tex]\begin{aligned}x + 2 + x &= 10\\2x + 2 &= 10\\2x &= 10 - 2\\2x &= 8\\x&= 4\\\end{aligned}[/tex]

The speed of the second car is [tex]4{\text{ miles/h}}.[/tex]

The speed of the first car can be obtained as follows,

[tex]\begin{aligned}{\text{Speed}} &= x + 2\\&= 4 + 2\\&= 6{\text{ miles/h}}\\\end{aligned}[/tex]

The speed of the first car is [tex]\boxed{6{\text{ mph}}}[/tex] and the speed of the second car is [tex]\boxed{4{\text{ mph}}}.[/tex]

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Answer details:

Grade: High School

Subject: Mathematics

Chapter: Speed and Distance

Keywords: 10 miles, speed of first car, speed of the second car, after one hour, moving toward, each other, 2 miles per hour, one hour.

Final answer:

Jim can rent the car for a maximum of 4 whole days with his budget of $115, as the inequality 21d + 0.10(250) <= 115 reveals that he doesn't have enough funds to cover the fifth day.

Explanation:

To determine the maximum number of days Jim can rent a car, we can set up an inequality. The cost per day to rent the car is $21.00, and he will be charged $0.10 for every mile he drives. Jim will travel 250 miles in total. Jim has a budget of $115.00 to spend.

Let d represent the number of days Jim can rent the car for. The inequality would be:

21d + 0.10(250) ≤ 115

To solve for d, you would perform the following steps:

Solving the inequality:

21d ≤ 90

d ≤ 90 / 21

d ≤ 4.2857

Since Jim can only rent the car for a whole number of days, the maximum number of days he can rent the car is 4 days.

Therefore, Jim's belief that he can rent the car for a maximum of 5 whole days is incorrect because he does not have sufficient funds for the fifth day.

Answer:4 • (2x + y)

Step by step solution :

Step  1  :

Step  2  :

Pulling out like terms :

2.1     Pull out like factors :

  4x + 2y  =   2 • (2x + y)

Final result :

 4 • (2x + y)

Step-by-step explanation:

The expression 2(4x+2y) is equivalent to 8x + 4y.

The expression 2(4x + 2y) can be simplified using the distributive property, also known as the distributive law or the distributive property of multiplication over addition.

This property allows you to distribute the factor outside the parentheses to each term inside the parentheses. Here are some equivalent expressions:

Distributing the 2:

2(4x + 2y) = 2 * 4x + 2 * 2y = 8x + 4y

Using the distributive property in reverse:

2(4x + 2y) = 4x(2) + 2y(2) = 8x + 4y

Factoring out a common factor:

2(4x + 2y) = 2 * (2 * 2x + 2 * y) = 2 * 2(2x + y) = 4(2x + y)

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Answer:

N=3.24

Step-by-step explanation:

$3.00-n=0.24           Subtract $3

-n= -3.24               Divide by -1 to make the variable positive

n=3.24

Slope-intercept form:

y = mx + b

"m" is the slope, "b" is the y-intercept (the y value when x = 0) or (0,y)

When lines are parallel, their slopes have to be the SAME.

Since the given line's slope is -1/2, the parallel line's slope is also -1/2

y = -1/2x + b

To find "b", plug in the point (2, -2) into the equation

y = -1/2x + b

-2 = -1/2(2) + b

-2 = -1 + b     Add 1 on both sides

-1 = b

y = -1/2x - 1

Answer:

x = 17.5 and y = 35

Step-by-step explanation:

2x + 10 = y + 10 ( alternate angles )

subtract 10 from both sides

2x = y ⇒ 6x = 3y → (1)

the sum of the 3 angles in the triangle = 180°

6x + y + 10 + 30 = 180 ( replace 6x by 3y )

3y + y + 40 = 180

4y + 40 = 180 ( subtract 40 from both sides )

4y = 140 ( divide both sides by 4 )

y = 35

substitute y = 35 into (1)

2x = 35 ( divide both sides by 2 )

x = 17.5

Answer:

A.Integers

Step-by-step explanation:

We are given that a diagram that represents the relationship of  a number sets.

We have to find that which describes the best set of numbers in block B

In block B

{....,-2,-1,0,1,2,....}

{0,1,2,3,...}

{1,2,3,...}

Integers:{...,-3,-2,-1,0,1,2,...}

Whole numbers:{0,1,2,...}

Natural numbers :{1,2,3,...}

Rational number: That number which can be written in the form of [tex]\frac{p}{q}[/tex] where q is not equal to zero , p and q are integers.

Hence, block B represent the set of integers.

Answer:A.Integers

Answer:

X = 73

Step-by-step explanation:

X - 3 = 53 + 17

Add 53 and 17

It gives you 70

Add 3 to boths sides

you get 73 on right side

Cancels out the negative 3 on left side and gives you 73 for final answer

X = 73

Answer:

1890, thats the cost per week to replace them.

Step-by-step explanation:

Answer:

The correct answer is 49.

Step-by-step explanation:

We are given the following expression and we are supposed to evaluate it:

– (31 + 2) + 72 – (–5) 2

Solving the terms inside the brackets first, following the order of operations to solve a mathematical expression to get:

= - (33) + 72 - (-5) 2

Then we will do the multiplications to get:

= - (33) + 72 - (-10)

Further adding and subtracting the terms:

= 39 - (-10)

= 39 + 10

= 49

Answer:

D. -9

Step-by-step explanation:

-33 +49 -25 = -9

Answer:

a. -2

Step-by-step explanation:

3¾ ≈ 4

-⅖≈ -½

4 × (-½) = -2

A reasonable estimate is -2.

Answer:

Step-by-step explanation: -2

The caloric content of the pan pizza is 1110 calories and the caloric content of the beef burrito is 1230 calories.

Let's assign variables to the caloric content of the items. Let x represent the caloric content of the pan pizza and y represent the caloric content of the beef burrito. We can form two equations based on the given information:

x + 2y = 3570

2x + y = 3450

To solve this system of equations, we can use either substitution or elimination method. Let's use substitution method:

y = 3450 - 2x

x + 2(3450 - 2x) = 3570

x + 6900 - 4x = 3570

-3x = -3330

x = 1110

2(1110) + y = 3450

2220 + y = 3450

y = 1230

Therefore, the caloric content of the pan pizza is 1110 calories and the caloric content of the beef burrito is 1230 calories.

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The range is the output, which would be the Y value.

The Y value would be calculated based on the input value for x.

any positive number raised to any value of x would be a positive number so 0.5^x would always be positive.

That would be multiplied by 4, which is a positive value, so the output ( Y value) would always be positive.

The range for this would be (0,∞)

The range of the function f(x) = 4 · 0.5^x is (0, 4], meaning it includes all numbers greater than 0 up to and including 4.

The value of 0.5^x decreases toward zero but never actually reaches it. Because the base is positive, the function will never produce negative values, so the smallest value f(x) can approach is 0. The coefficient 4 simply scales the output, so the function values will range from 0 to some maximum value, which occurs at x = 0. At x = 0, f(x) is at its maximum value, 4 · 1 = 4. Therefore, the range of the function is (0, 4], where 4 is included and 0 is excluded since the function can get arbitrarily close to 0 but never equal it.

Product is multiplication.

Since the answer needs to be greater than 2 either the fraction needs to be an improper fraction ( meaning the fraction would be greater than 1) or the whole number would need to be greater than 2.

One answer would be 5 x 2/3 = 3 1/3

Answer:

88 square units

Step-by-step explanation:

area= base x height

A=11x8

A=88

Answer:

8/25

Step-by-step explanation:

Steps:

1. First you count how many number are divisible by three. The numbers are 3, 6, 9, 12, 15, 18, 21, and 24, which is a total count of 8 numbers.

2. Then you count the numbers of slips of paper, which you know is 25.

3. Finally, put the number of numbers that are divisible by three or the total slips of paper to find your answer.

Answer:

The probability that Mario will randomly catch the right goldfish on the first 5 attempts = 0.069

Step-by-step explanation:

From geometric distribution.

If the probability of success on each trial = P,

then the probability that the Nth trial is the first success

                    Pr (X = N) = [tex](1 - P)^{N - 1}[/tex] P

Now,

        P = [tex]\frac{1}{70}[/tex]

        Maximum attempt = 5

Probability that Mario will randomly catch the right goldfish on the first 5 attempts

= [tex]\frac{1}{70}[/tex] + [tex](1 - \frac{1}{70} )^{1}[/tex] [tex]\frac{1}{70}[/tex] + [tex](1 - \frac{1}{70} )^{2}[/tex] [tex]\frac{1}{70}[/tex] + [tex](1 - \frac{1}{70} )^{3}[/tex] [tex]\frac{1}{70}[/tex] + [tex](1 - \frac{1}{70} )^{4}[/tex] [tex]\frac{1}{70}[/tex]

= [tex]\frac{1}{70}[/tex] + [tex]\frac{69}{70}[/tex] [tex]\frac{1}{70}[/tex] + [tex](\frac{69}{70} )^{2}[/tex] [tex]\frac{1}{70}[/tex] + [tex](\frac{69}{70} )^{3}[/tex] [tex]\frac{1}{70}[/tex] + [tex](\frac{69}{70} )^{4}[/tex] [tex]\frac{1}{70}[/tex]

= 0.069

Answer: 1. A) 0.14

2. C) 46%

3. D) 86%

4. B) 0.513

5. A) 0.003

6. C) 0.069

7. C) 0.25%

8. D) 0.03

9. C) 71%

10. A) 10%

Step-by-step explanation: 100% :)

Final answer:

Tonya ran the race approximately 6.13 seconds faster than Jada.

Explanation:

To find out how much faster Tonya ran the race, we need to calculate the difference between their race times.

Tonya's race time is 69.07 seconds, while Jada's race time is 75.2 seconds.

To calculate the difference, we subtract Jada's race time from Tonya's race time: 69.07 - 75.2 = -6.13 seconds.

Therefore, Tonya ran the race approximately 6.13 seconds faster than Jada.

Answer:

The answer should be the second option or 10 cm.

The only thing is that PQ is just a little longer than RS and PQ is 10 cm but A. 15 cm is to long, C. 20 cm is also to long and D. 5 cm is to short.

So i belive it is B. 10 cm.

Hope this helped, can i have brainliest?

Answer:

i squared + 5

Step-by-step explanation:

Volume: πr^2h (where h = height and r = radius)

Radius: 12

Height: 24

12^2 * pi * 24 = 10,857.34 cubic centimeters