An object is launched from a platform. It's height (in meters), x seconds after the launch, is modeled by: h(x) = -5x^2 + 20x + 60. What is the height of the object at the time of launch?

Answer:

The trains will meet after 2.6 hours.

Step-by-step explanation:

Add up the distances traveled by the two trains:

distance1 = (100 mph)(t hours)

distance2 = (90 mph)(t hours)

Sum of distance1 and distance2 = 494 miles = (190 mph)(t hours)

Solving for t, we get   t = 494 miles / 190 mph  = 2.6 hours

The trains will meet after 2.6 hours.

It will take 2.60 hours for the two trains to meet.

To find out how long it will take for the two trains to meet, we can use the formula: time = distance / speed.

Since the trains are traveling towards each other, we can add their speeds together to get the effective speed: 100 mph + 90 mph = 190 mph.

Now we can plug in the values: time = 494 miles / 190 mph = 2.60 hours.

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Part A:

We are given that E is 3 more than D. This means that to get the value of E, we will simply add 3 to the value of D

Therefore:

E = D + 3

Part B:

We are given that F is 5 less than D. This means that to get the value of F, we will simply subtract 5 from the value of D

Therefore:

F = D - 5

Part C:

To get the value of E-F, we will simply subtract the equation we obtained from part B from the equation we obtained from part A

Therefore:

E - F = (D+3) - (D-5)

E - F = D + 3 - D + 5

E - F = 8

Hope this helps :)

The expression for 'e' in terms of 'd' is e = d + 3. The expression for 'f' in terms of 'd' is f = d - 5. The difference between 'E' and 'F' is 8.

A) e = d + 3
To express 'e' in terms of 'd,' we can simply say that 'e' is equal to 'd' plus 3. This is because the question states that 'E is 3 more than D.'

B) f = d - 5
To express 'f' in terms of 'd,' we can say that 'f' is equal to 'd' minus 5. The question states that 'F is 5 less than D.'

C) E - F = (d + 3) - (d - 5) = d + 3 - d + 5 = 8
To find the difference between 'E' and 'F,' we can substitute the expressions we found for 'e' and 'f' into the equation. Simplifying the expression further, we have 'E - F = (d + 3) - (d - 5) = d + 3 - d + 5 = 8.'

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Answer: 119°

Step-by-step explanation:

A circle equals 360° degress. If you subtract the two angles shown in the picture you'll get 238°.

Now vertical angles are congurent thus if we divide 238 into 2 we get 119°.

Answer:

it's 119

step explanation:

i guessed and got it rt, lol.

Answer:

6.25 gal

Step-by-step explanation:

Least amount of water used:  17.5 gal

Greatest amount used:            24.75 gal

Difference:  24.75 gal - 17.5 gal = 6.25 gal

The thirstiest dishwasher used 6.25 gal more than the thriftiest dishwasher.

Answer:

0.75

Step-by-step explanation:

friday, it is 4, saturday is 3.5, sunday is 3.25. 4-3.25 is 0.75.

Answer:

Step-by-step explanation:

The sum of those numbers is 14.  Let's divide 14000 by 14 to get the number of parts (each part will be an investment in dollars) and we get 10,000.  So if a person invests 2 parts, he invests 2(10,000).  A person that invests 5 parts invests 5(10,000), and likewise for the person investing 7 parts: 7(10,000).  That gives us 20,000 + 50,000 + 70,000 = ?  

(140,000)

The difference in investment between the largest and the smallest is 50,000

Final answer:

To find out the investments of three friends in a ratio of 2:5:7, one part is calculated as $10,000. The smallest investor contributes $20,000 and the largest investor contributes $70,000. Hence, the difference in their investments is $50,000.

Explanation:

The question is asking to determine the individual investments of three friends in a food truck business based on their total contributions amounting to $140,000 and the ratio of their investments being 2:5:7. First, we find the total number of parts in the ratio (2+5+7=14 parts). To find the value of one part, we divide the total investment by the number of parts ($140,000 \/ 14 = $10,000 per part).

Now, we can calculate each friend's investment:

The difference in investment between the smallest and the largest investor is $70,000 - $20,000 = $50,000.

Answer:

A

Step-by-step explanation:

logb √(41/97)

Square root can be written in exponent form:

logb (41/97)^½

Using log exponent rule:

½ logb (41/97)

Using log quotient rule:

½ (logb 41 - logb 97)

Answer:

$348.29

Step-by-step explanation:

The payment is calculated by multiplying the rate per hundred times the number of hundreds. The latter is found by dividing the loan amount by $100.

$2.41 × $14,452/$100 ≈ $348.29

Answer:$299.16

Step-by-step explanation:

Financed amount = $14452

APR  = 8.9%

Period / time = 5 years

monthly payment = $100 for every $2.07

To calculate the monthly payment of a financed amount we multiply the financed amount by the ratio of the given amount paid per $100

The monthly payment would be =  14452 * 2.07/100 = 14452 * 0.0207

= $299.16 approximately

therefore the monthly payment of a financed amount of $14452 is equal to $299.16

Answer:

[tex]\frac{1}{12}[/tex]

Step-by-step explanation:

Note Is a 1/4 of a pastry instead of 14 of a pastry

we know that

To find the fraction of the original pastry that represents each of the 3 pieces cut by Joanne, divide 1/4 by 3

so

[tex](1/4)/3=\frac{1}{12}[/tex]

Answer:

1/12

Step-by-step explanation:

Answer: 19.9

Step-by-step explanation:

25 - 5.1 = 19.9

Answer:

19.9

Step-by-step explanation:

25-5.1

= 19.9

To make sure:

19.9+5.1

=25

I hope this help you.

Answer:

192,000

Step-by-step explanation:

480,000x.40 =  192,000 commission.

Answer:

480000 * 0.40 = $192,000

The total dollar amount of her commission last year is $192,000

Step-by-step explanation:

Answer:

70

Step-by-step explanation:

An angle on the circle is half of the intercepted arc. Since the circle is 360, you can subtract 220 from 360 and find the intercepted arc which is 140. Divide that by 2 and you get 70.

Answer:

Option C. [tex]288\pi\ ft^{3}[/tex]

Step-by-step explanation:

we know that

The volume of a sphere is equal to

[tex]V=\frac{4}{3} \pi r^{3}[/tex]

we have

[tex]r=6\ ft[/tex]

substitute

[tex]V=\frac{4}{3} \pi (6)^{3}[/tex]

[tex]V=288\pi\ ft^{3}[/tex]

The volume of the sphere with a radius of 6 ft is 904.78 ft³.

The volume of a sphere can be calculated using the formula: V = (4/3)πR³. Given a radius of 6 ft, we can substitute this value into the formula to find the volume:

V = (4/3)π(6 ft)³

V = (4/3)π(216 ft³)

V = 904.78 ft³

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Correct. It is only interested in the portion of the graph confined to this interval

Answer:

#4

Step-by-step explanation:

Graph #4 is the correct one.  Multiplying x by 1/4 widens the original graph by a factor of 4.  That "-4" shifts the graph 4 units to the right.

Answer:

I believe B. is the correct answer.

6y4z2 + 12y3z2 - 3y3z + 3y2z2

Step-by-step explanation:

Answer:

the answer is 6y4z2 + 12y3z2 - 3y3z + 3y2z2

Step-by-step explanation:

Well yes but this doesn't belong in math by the way.

Answer:

Step-by-step explanation:

The constant of proportionality is simply the ratio expressed as a decimal.

So in the example, the constant of proportionality is 6.75 $ / 3 lb = 2.25 $/lb.

Answer:

(x, y)-->(x-7, y+4)

Step-by-step explanation:

To get from T to T', you have to move the image 7 units to the left of the preimage.  From that point, you have to move up 4.

Product 4 after the third year is 27 which is higher than the rest after 3 years.

And because x is raised to the third, the amount would Increase by being raised to the 3rd every year.

The answer is Product 4.

Answer:

C

GX is reflected across the X-axis

g(x) is reflected across the X-axis if f(x) is the original function.

function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

here we have f(x) is the original function, the true value of g(x) is that g(x) is reflected across the X-axis.

To know more about function follow

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Step-by-step answer:

A line with slope (or gradient) m, passing through a point (x0,y0) can be represented by the equation:

(y-y0) = m(x-x0)  ......................(1)

Here,

(x0,y0) = (1,7), and

slope/gradient = -2

Substitute values into (1) above gives

(y-7)=2(x-1)

Expand and simplify

y-7 = 2x-2

y =2x -2 + 7

y=2x+5

is the final answer.

$21 it will cost for lollipop

Answer:

$1.10

Step-by-step explanation:

1.10 times 10

Answer:

7/15

Step-by-step explanation:

odd numbers are those that do not have divides ie1,2,3,5,7,11,13

The probability of randomly selecting an odd number from the numbers 1-15 is 8/15.

Probability is used to know the odds that an event would happen.  The probability the event occurs is 1 and the probability that the event does not occur is 0.

Probability that a randomly selected number would be odd = number of odd numbers / total numbers

Odd numbers between 1 and 15 = 1 , 3, 5, 7, 9, 11, 13, 15

Probability that a randomly selected number would be odd = 8/15

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Como? No entiendo perdón

Answer:

Step-by-step explanation:

⇒ sin (49°) = cos (90° - 49°) = cos (41°)

Sinus is a periodic trigonometric function, defined in the context of a right triangle as the ratio of the opposite leg to the hypotenuse.

Cosinus is a periodic trigonometric function, defined in the context of a right triangle as the ratio of the adjacent leg to the hypotenuse.

Final answer:

To find the value of x where sin49° equals cosx, we utilize the identity sin(90° - x) = cos x, which yields the answer x equals 41°.

Explanation:

To find the value of x where sin49° = cosx, we use the trigonometric identity sin(90° - x) = cos x. Since sin49° is given, we can set up our equation as:

sin(90° - x) = sin49°.

This reveals that 90° - x = 49°

Solving for x, we get:

x = 90° - 49°

x = 41°

Therefore, the value of x is 41°.

Answer:

[tex]f(x)=(x+2)(x-5)(x-6)[/tex]

Step-by-step explanation:

we know that

If the zeros of the function are

x=-2, x=5 and x=6

then

The factors are

(x+2), (x-5) and (x-6)

therefore

The polynomial function in factored form is equal to

[tex]f(x)=(x+2)(x-5)(x-6)[/tex]

A sphere with radius [tex]r[/tex] has surface area [tex]4\pi r^2[/tex]. Divide the radius by 6 and you get a surface area of [tex]4\pi\left(\dfrac r6\right)^2=\dfrac4{36}\pi r^2[/tex], so that the final surface area is divided by 36.

5^31-5^29

=5^29(5^2-1)

=5^29(25-1)

=5^29(24) ...a

100=5^2x4 ...b

Divide a by b

5^29(24) / 5^2 x 4

=5^27 x 6

This, 5^31-5^29 is divisible by 100.

Answer:

B. 84.46°

Step-by-step explanation:

Since the vectors are at right angles to one another, even a crude diagram will quickly show you that the direction of the sum is ...

30° + arctan(7/5) ≈ 84.4623° ≈ 84.46°

1. bar graph - Compares data that is in categories.

2. line graph - Shows change over time.

3. scatter plot - Used to see trends in data.

4. histogram - Shows frequency of data, using equal intervals with no space between the bars.

5. box-and-whisker plot - Organizes data into 4 groups of equal size, and is often used to compare two sets of data.

School is almost over, good luck!!