Help!! Please!!

Basketball star Mumford (a six foot senior forward) places a mirror on the ground x ft. from the base of a basketball goal. He walks backward four feet until he can see the top of the goal, which he knows is 10 feet tall. Determine the how far the mirror is from the basketball goal. Justify your answer.

Answer:

582.091 Rounded to 2 places after the decimal point is 582.09

:)

Answer:

unit

Step-by-step explanation:

H. T. U.

5. 8. 2

5 is representing a hundred

8 is representing the tenth

2 is representing the units

Answer:

36 feet.

Step-by-step explanation:

h = -16t² + 48t .......... (1)

The above equation relates the height h, in feet of the water at time t, in seconds.

Now, condition for greatest height is [tex]\frac{dh}{dt} = 0[/tex] ......... (2)

So, differentiating equation (1) with respect to t we get, -32t + 48 = 0 {From condition (2).

⇒ t = 1.5 seconds

So, the greatest height is = -16 (1.5)² + 48 (1.5) = 36 feet. (Answer)

John walks 0.6 miles in 1 hour.

Step-by-step explanation:

Distance walked by John = 3 miles

Time period = 5 hours

5 hours = 3 miles

Unit rate is the ratio of two measurements, in which one measurement is one, therefore,

1 hour = [tex]\frac{3}{5}\ miles[/tex]

[tex]1\ hour=0.6\ miles[/tex]

John walks 0.6 miles in 1 hour.

Keywords: ratio, distance

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Answer:

16.9

Step-by-step explanation:

Answer:

2*5*5= 50 because for each drink (2) there’s (5) different sizes and (5) flavors.

Step-by-step explanation:

A customer at an ice cream store can order a drink in 50 different ways by choosing from 2 drinks, 5 sizes, and 5 flavors, as calculated by the fundamental counting principle.

To determine the number of ways a customer can order a drink at an ice cream store with 2 drinks, 5 sizes, and 5 flavors, we need to calculate the combinations of these options. Since each choice is independent of the others, we use the concept of the fundamental counting principle, where we multiply the number of options for each category together.

For drinks, there are 2 options. For sizes, there are 5 options, and for flavors, there are 5 options.

We multiply these options together: 2 drinks * 5 sizes * 5 flavors = 50 combinations.

Therefore, a customer can order a drink in 50 different ways.

answer: 72+21=93-11=82                                                                                                                                                              

The change in temperature from when Tina left Atlanta and arrived in New York will be 82° and 77°.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

One Morning in Atlanta, Tina observed that the temperature was 72 degrees.

Later the temperature rose 21 degrees and then dropped 11 degrees.

Then the final temperature in Atlanta will be

⇒ 72° + 21° - 11°

⇒ 82°

She then flew to New York where the temperature was 67 degrees.

Then the final temperature in New York will be

⇒ 67° + 21° - 11°

⇒ 77°

Then the change in temperature from when Tina left Atlanta and arrived in New York will be 82° and 77°.

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4 - (- 3) = 4 + 3

Addition moves to the right.

Subtraction moves to the left.

Start at 4 on the number line and move 3 to the right.

Answer:

dfdssgfnfndfnfnb

Step-by-step explanation:

Answer:

x^9*y^1/3

Step-by-step explanation:

Because x^(27*1/3)=x^9 and y^(1/3)=y^1/3.

Answer:

Step-by-step explanation:

for this, you need to remember a formula for the curved bit of the cylinder. The top and the bottom circles are easy since you only need to find their areas which are πr^2 therefore to find the radius you half 9. So 4.5^2 x π =63.62 then times two as there are two parts.

63.62 x 2 =127.24

For the curved, long bit use formula of 2πhr.

2 x π x 7 x 4.5 =63π =197.92

Answer:

x=3

Step-by-step explanation:

-21=-7x

-7x=-21

x=3

Answer:

240.

Step-by-step explanation:

Here is the correct question: Three sister are getting new outfits. shirts cost 11 each,skirts coat 25 each and shoes cost 44 a pair. what is the total cost of the new outfits for all of the sisters​?

Given: Cost of each shirt is 11

           Cost of each skirts coat is 25

           Cost of each pair of shoes cost is 44.

Now, finding total cost of shirt, skirt coat and shoes as cost of one new outfit.

= [tex]11+25+44 = 80[/tex]

∴ Total cost of one new outfit is 80.

Next, finding cost of new outfit for all, three sisters.

Cost of new outfit for three sister = [tex]\textrm { cost of one outfit}\times \textrm{ number of sisters}[/tex]

∴ Cost of new outfit for three sister = [tex]80\times 3= 240[/tex]

240 is the total cost of new outfit for all the sisters.

Answer:

Step-by-step explanation:

[tex]Put\ x=24\ to\ the\ equation\ -2x+2y=-56,\ and\ solve\ it\ for\ y:\\\\-2(24)+2y=-56\\\\-48+2y=-56\qquad\text{add 48 to both sides}\\\\-48+48+2y=-56+48\\\\2y=-8\qquad\text{divide both sides by 2}\\\\\dfrac{2y}{2}=\dfrac{-8}{2}\\\\y=-4[/tex]

Answer:

x= -6

Step-by-step explanation:

First, you would write down the equation how it is shown first.

1) -x/3=2

Second, you would naturally multiply both sides by -3. To solve the equation, you need to use the inverse operation in the inverted order of PEMDAS. (Parentheses, exponent, multiplication, division, addition, and subtraction.)

2) -3(-x/3)=-3* 2

Lastly, you are going to reduce and simplify your new equation. This last step will achieve you your desired answer.

3) x= -6

6/3=2

Step-by-step explanation:

I know because 2×3=6 so 6/3 would have to equal 2.

Answer:

Step-by-step explanation:

You need to add $6.50 and $11.75 and you get $18.25.

Answer:

A, B

Step-by-step explanation:

Volume: the measure of the amount of space that a substance (such as liquid, gas, or solid) occupies in an enclosed environment (such as a container).

Answer:

3.625

Step-by-step explanation:

I check on Google for yeah ;)

Answer:

13a. 0.92 miles

13b. C

Step-by-step explanation:

13a. The first ride costs $2.75 more than the second ride.  Each quarter mile after the first quarter mile costs $0.75, so the difference in distance is:

0.75 d = 2.75

d = 3.67

The difference is 3.67 quarter miles, or 0.92 miles.

13b. The total cost is the cost of the first quarter mile plus the cost of the rest of the quarter miles.

C(n) = 2.50 + 0.75 (n − 1)

Answer:

the slope is 1/5 which is none of these. y=1/5x+3 is the equation

Step-by-step explanation:

for every single y value that the graph goes up, it travels 5 units on the x axis.

rise over run is the way i remeber slope, rise is one for every 5 run. This has a slope of positive 1/5x.

The slope of the line is [tex]\dfrac{1}{5}[/tex]. So, the correct option is A.

Given:

The graph of the line.

To find:

The slope of the given line.

Explanation:

Slope formula: If a line passes through the two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], then the slope of the line is:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

From the given graph it is clear that the line passes through the points [tex](0,2)[/tex] and [tex](5,3)[/tex]. So, the slope of the line is:

[tex]m=\dfrac{3-2}{5-0}[/tex]

[tex]m=\dfrac{1}{5}[/tex]

Therefore, the slope of the line is [tex]\dfrac{1}{5}[/tex] and the correct option is A.

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Answer: 1/4

Explanation:

You flipped the coin 4 times and got only one tail in those four flips. So that's where the 1/4 comes from when you state the experimental probability of tails is 1/4.

The theoretical probability of tails is 1/2 assuming it's a fair coin, as each side is likely to land on. The theoretical probability is one that can be calculated without having to do the experimental trials.

Subtract the two fractions: 1/2 - 1/4 = 2/4 - 1/4 = (2-1)/4 = 1/4

The difference between the experimental (1/4 or 0.25) and theoretical (0.5) probability of a coin landing on tails after four tosses is 0.5 - 0.25, which equals to 0.25 or 25%.

The difference between the experimental and theoretical probability of landing on tails when a fair coin is tossed four times is sought after. The theoretical probability of a coin landing on tails is 0.5 for each toss. If a student conducts an experiment where the coin lands on tails with a probability of 1/4, we first convert this to a decimal to compare it to the theoretical value, which is 0.25.

To find the difference, subtract the experimental probability from the theoretical probability:

Theoretical Probability: 0.5 (or 1/2)
Experimental Probability: 0.25 (or 1/4)

Difference = Theoretical Probability - Experimental Probability

Difference = 0.5 - 0.25

Difference = 0.25

Thus, the difference between the experimental and theoretical probability is 0.25, or 25%.

Answer:

The number of dimes does Sofia has is 13 , and The number of dimes does nickles does Sofia has is 12

Step-by-step explanation:

Given as :

The net worth of nickels and dimes = $ 1.90

The total number of nickles and dimes altogether = 25

Let The number of nickles that Sofia has = n

And The number of dimes that Sofia has = d

Now,

Since The value of 1 nickle = [tex]\frac{1}{20}[/tex] dollar

And The value of 1 dimes =  [tex]\frac{1}{10}[/tex] dollar

So, According to question

n + d = 25          ..........1

And  $ [tex]\frac{1}{20}[/tex] × n + $ [tex]\frac{1}{10}[/tex] × d = $ 1.90

Or, n + 2 d = 38        .....2

Solving Eq 1 and 2

∵  n + 2 d = 38

or, 25 - d + 2 d = 38

or, d = 38 - 25

∴ d = 13

So, The number of dimes she has = 13

And the number of nickles = n = 25 - 13

∴  n = 12

Hence The number of dimes does Sofia has is 13 , and The number of dimes does nickles does Sofia has is 12 Answer

Answer:

The diagram of the question is attached here.

The measure of [tex]\angle XBC=135\ (deg)[/tex]

Step-by-step explanation:

All the options given here will be used to find the numeric value of [tex]\angle XBC[/tex]

Here it is shown systematically.

Exterior angle theorem: Sum of two interior angles are equal to the measure of opposite exterior angle in a triangle.

To find [tex]\angle XBC[/tex]

[tex]m\angle XBC = m\angle BAC + m\angle BCA[/tex]

Plugging the values.

[tex]3p-6 = p + 4 + (84)[/tex]

[tex]3p-6 = p + 88[/tex]

Subtracting [tex]p[/tex] both sides.

[tex]2p-6 = 88[/tex]

[tex]2p = 94[/tex]

Dividing [tex]2[/tex] both sides.

[tex]p=\frac{94}{2}=47[/tex]

So plugging the value of [tex]p=47[/tex] in [tex]3p-6[/tex] we will get the measure of [tex]\angle XBC[/tex].

So [tex]\angle XBC=(3p-6)=3(47)-6=135\ (deg)[/tex]

The measure of [tex]\angle XBC[/tex] is [tex]135\ degrees[/tex].

Based on the information, the measure of Angle XBC is 278 - 4p degrees.

Given that Angle ACB is 84 degrees, Angle BAC is (p + 4) degrees, and Angle XBC is (3p - 6) degrees, you can plug in these values:

(p + 4) + 84 + (3p - 6) + Angle XBC = 360

Combine the like terms involving 'p':

4p + 82 + Angle XBC = 360

Subtract 82 from both sides:

4p + Angle XBC = 278

Now, isolate Angle XBC by subtracting 4p from both sides:

Angle XBC = 278 - 4p

So, the measure of Angle XBC is 278 - 4p degrees.

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Answer:

42

Step-by-step explanation:

6*6+9-2-1

36+9-2-1

45-2-1

43-1

42

The total cost of Leona's bond is $1,053.68 when accounting for the quoted price and the 5.5% brokerage fee. Consequently, the option that correctly represents the total cost is 'None of these choices are correct.'

Leona purchased a $1,000 bond having a quoted price of 99.875. To calculate the purchase price of the bond, we multiply the face value of the bond by the quoted price percentage:

Purchase Price = Face Value × (Quoted Price / 100) = $1,000 × (99.875 / 100) = $998.75

Next, we need to calculate the brokerage fee, which is 5.5% of the selling price. We will use the purchase price to calculate this:

Brokerage Fee = Purchase Price × (Brokerage Fee Percentage / 100) = $998.75 × (5.5 / 100) = $54.93

Lastly, we add the brokerage fee to the purchase price to find the total cost of the bond:

Total Cost = Purchase Price + Brokerage Fee = $998.75 + $54.93 = $1,053.68

Therefore, Leona's total cost for the bond is $1,053.68, which to the nearest whole cent is $1,053.68. The correct answer is 'None of these choices are correct.'

Final answer:

Leona's total cost for a $1,000 bond with a quoted price of 99.875 and a 5.5% brokerage fee is $1,053.68. Option E.

Explanation:

To calculate the total cost of the bond that Leona purchased, we need to consider both the quoted price of the bond and the brokerage fee. The quoted price of the bond is 99.875% of the face value, which means the price before the brokerage fee is 99.875/100 * $1,000 = $998.75. Then, we must calculate the brokerage fee, which is 5.5% of the selling price. Therefore, the brokerage fee equals 5.5/100 * $998.75 = $54.93.

To find the total cost of the bond, we add the price of the bond to the brokerage fee: $998.75 + $54.93 = $1,053.68. Hence, the correct answer to the nearest whole cent is $1,053.68, and the given options do not list this correct amount.

Answer:

8:14

Step-by-step explanation:

just multiply

Answer:

600 Grams = 1.323 Pounds

Step-by-step explanation:

1 gram equals 0.0022 pounds

600 x 0.0022 = about 1.323

Answer:

the weight in pounds is 1.324 pounds

Step-by-step explanation:

Hello, i can help you with this, you can easily solve this by using a rule of three, also you need to know

1 pound = 453 grams

Step 1

establish the relation

1 pound ⇔ 453 grams

x pound ⇔ 600 grams

the relation is

[tex]\frac{1}{453} =\frac{x}{600}\\ solve\ for\ x\\x=\frac{1*600}{453}\\x=1.324\\[/tex]

so, the weight in pounds is 1.324 pounds

I really hope It helps , have a nice day.

Answer: 5(7+x) because this is how you factor

Answer:

The slope is 0 and the y-intercept is -4

Step-by-step explanation:

1cm:1000cm

multiply the dimensions by 1000cm

4cm--> 4000cm

3cm--> 3000cm

convert 4000cm and 3000cm to metres by dividing by 100

because 1m=100cm

4000/100=40m

3000/100=30m

40m x 30m= 1200m²