Answer:
The height, h, of the rock as a function of the horizontal distance from Jeremy's hand is h = -13/784·(x - 28)² + 17
Step-by-step explanation:
The given parameters are;
The height of the rock above the water when it leaves Jeremy's hand = feet
The maximum height of the rock = 28 feet
The horizontal distance at maximum height = 17 feet
Therefore, the given coordinates of the maximum height = (28, 17)
The equation of a parabola in vertex form is f(x) = a(x - h)² + k
Taking the maximum point as the vertex of the parabola, we have;
(h, k) = (28, 17)
Substituting the values gives;
f(x) = a·(x - 28)² + 17
At x = 0, the height = 4, we have;
f(0) = 4 = a·(0 - 28)² + 17
4 - 17 = a×28²
-13 = 784 × a
a = -13/784
Therefore, the height of the rock, f(x) = h, as a function of the horizontal distance from Jeremy's hand is therefore;
f(x) = h = -13/784·(x - 28)² + 17
What is 7 3/8 + 2 1/8
Answer:
9.5
Step-by-step explanation:
Which one is it and how? Please help
Answer:
-[tex]10^{13}[/tex]
Step-by-step explanation:
Numbers with the same base multiplying with each other will have their expoenent add up.
In this case, both number has a base of -10, so we're allow to group them and add up their exponents.
[tex](-10)^8(-10)^5=(-10)^{8+5}=(-10)^{13}[/tex]
2p + 4q =20 translate into a sentence
Answer:
two "P" plus four "Q" equals twenty
Step-by-step explanation:
I changed the numbers to words
Solve the equation using Inverse operatlons.
2 + x^3=18
Meadow is growing her hair out. The graph below shows how much her hair has grown over the last 8 months.
Which of the following shows the rate at which Meadow's hair is growing?
A.) 4 inches per month
B.) 0.50 inch per month
C.) 0.25 inch per month
D.) 2 inches per month
A kilogram of potatoes cost $25.A dozen bananas cost $40.
a) Write an algebraic expression for the total cost of n kilograms of potatoes and one dozen bananas.
b) Evaluate your expression to determine the cost of 15kg of potatoes and one dozen bananas
Answer:
a) T = 25n + 40
b) T = $415
Step-by-step explanation:
The total cost of 'n' kilograms of something can be expressed as 'n' multiplied by the cost, since it is a constant cost per unit. Therefore the price for n kg of potatoes can be expressed as 25n. We are also told that a dozen bananas cost $40, so our expression is the cost of potatoes added to the cost of bananas. So, is we use 'T' for total cost, our expression will look like this:
T = 25n + 40
Now we can use this expression to find the cost of 15kg of potatoes and the same amount of bananas. We can do this by simply substituting the given amount for n:
T = 25(15) + 40
T = 375 + 40
T = $415
The cost of 15kg of potatoes and one dozen bananas is $415.
Hope this helped!
Multiply 3 3/8 * 4 1/3
Answer:
14 5/8
Step-by-step explanation:
give a heart if this was helpful
Answer:
I think its 4.5 but I could be wrong :)
What is the value of n in the equation in = 9?
n =
Answer:
n=0
Step-by-step explanation:
Move all terms to the left side and set equal to zero. Then set each factor equal to zero.
You add 4 drops of food coloring to 2 cups of white frosting and get the orange frosting above. Francisco wants his frosting to be the same color as yours, but he has 5 cups of white frosting. He doesn't know how many drops of orange food coloring to add.
Answer:
Francisco will add 10 drops of food coloring to 5 cups of white frosting and get the orange frosting
Step-by-step explanation:
4 drops of food coloring to 2 cups of white frosting and get the orange frosting.
He has 5 cups of white frosting. He doesn't know how many drops of orange food coloring to add
Let x = drops of food coloring he will add
Drops of food coloring : cups of white frosting
4 : 2 = x : 5
4 / 2 = x / 5
Cross multiplication
4 * 5 = 2 * x
20 = 2x
Divide both sides by 2
x = 20 / 2
= 10
x = 10 drops of food coloring
Therefore, Francisco will add 10 drops of food coloring to 5 cups of white frosting and get the orange frosting
2. What are the angle measures of the triangle?
4.5 times what equals 5
Answer:
REEEEEEEEEEEEEEEEEEEEE
Step-by-step explanation:
i thnk that the answer is .9333 !!
The 4.5 times 10/9 equals 5. In other words, if you multiply 4.5 by 10/9, you get the value of 5.
To find the number that, when multiplied by 4.5, equals 5, we can set up an equation and solve for the unknown number.
Let's represent the unknown number as 'x':
4.5 * x = 5
To isolate 'x', we need to get rid of the coefficient 4.5. To do that, we'll divide both sides of the equation by 4.5:
x = 5 / 4.5
Now, perform the division:
x = 1.111...
The result is a repeating decimal, which means the number that satisfies the equation is 1.111... (with 1 repeating indefinitely).
To express the result more precisely, we can write it as a fraction:
x = 5 / 4.5 = 10 / 9
Therefore, 4.5 times 10/9 equals 5. In other words, if you multiply 4.5 by 10/9, you get the value of 5.
To know more about multiply:
https://brainly.com/question/30875464
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Foster is centering a photo that is 1 1/2 inches wide on a scrapbook page that is 16 inches wide. How far from each side of the page should he put the picture? Enter your answer as a mixed number.
If DM = 45, what is the value of r?
r +3
4r - 28
A 12
B 13
C. 14
D. 15
Answer:
-7 i hope this right
Step-by-step explanation:
Find the Greatest Common Factor (GCF).
GCF = 44
2 Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)
4(\frac{4r}{4}-\frac{28}{4})4(
4
4r
−
4
28
)
3 Simplify each term in parentheses.
4(r-7)4(r−7)
Answer: 14
Step-by-step explanation:
Got it right in a test
Help please I’ll mark u brainlest
Answer: i can't see the question.
Step-by-step explanation:
The ratio 5:1/7 has a unit rate of 35 true or false
Answer:
True
Step-by-step explanation:
To find the unit rate, what we do is to divide the preceding value in the ratio by the succeeding value in the ratio.
Thus, we have;
5 divided by 1/7
= 5 * 7/1
= 35
This is the unit rate of the given ratio
The formula D= m/v gives the density, D, in grams per cubic centimeter, for an object of mass, m, in grams, and a volume, V, in cubic centimeters.
Which of the following can be used to determine the volume of a mineral samples?
V=D/m
V=m/D
V=Dm
V=D-m
Answer:
v d m because I got the answer from gogjle
Given triangle JKL, sin(38°) equals
cos(38°)
cos(52°)
tan(38°)
tan(52°)
Answer:
B I TOOK THE TEST
Step-by-step explanation:
Answer:
The Answer is
Cos(52)
Step-by-step explanation:
in case the letters aren't the same
Solve the system of linear equations. 4x + 6y = 12 x + 2y = 10 The solution is
Answer:
x = -18, y = 14
Step-by-step explanation:
4x + 6y = 12
x + 2y = 10
Divide both sides of the first equation by 2. Write the second equation below it.
2x + 3y = 6
x + 2y = 10
Rewrite the first equation. Multiply both sides of the second equation by -2 and write below it. Then add the equations eliminating x.
2x + 3y = 6
(+) -2x - 4y = -20
-------------------------
-y = -14
y = 14
Substitute 14 for y in the second equation and solve for x.
x + 2y = 10
x + 2(14) = 10
x + 28 = 10
x = -18
Solution: x = -18, y = 14
HELP WILL MARK YOU BRAINLIEST HURRY IM ON A TIME LIMIT!’
(3x+5)+(x+3)=180
4x+8=180
4x=172
x=43
3(43)+5
<PQR=134
<SQR=46
Answer:
[tex]\boxed {\angle PQR = 134\textdegree}[/tex]
Step-by-step explanation:
Both angles are Supplementary (Two angles that add up to 180°). So, write an expression using the following measurements of both [tex]\angle PQR[/tex] and [tex]\angle RQS[/tex] and 180:
[tex]\angle PQR = 3x + 5[/tex]
[tex]\angle RQS = x + 3[/tex]
[tex]3x + 5 + x + 3 = 180[/tex]
Solve:
[tex]3x + 5 + x + 3 = 180[/tex]
[tex]4x + 5 + 3 = 180[/tex]
[tex]4x + 8 = 180[/tex]
[tex]4x + 8 - 8 = 180 - 8[/tex]
[tex]4x = 172[/tex]
[tex]\frac{4x}{4} = \frac{172}{4}[/tex]
[tex]x = 43[/tex]
-After you have the value of [tex]x[/tex], use it to the expression of [tex]\angle {PQR}[/tex] to get the actual answer of [tex]\angle PQR[/tex]:
-The value of [tex]x[/tex]:
[tex]x = 43[/tex]
-Solve for the measurement of [tex]\angle PQR[/tex]:
[tex]3x + 5[/tex]
[tex]3(43) + 5[/tex]
[tex]129 + 5[/tex]
[tex]134[/tex]
-The measurement of [tex]\angle PQR:[/tex]
[tex]\boxed {\angle PQR = 134\textdegree}[/tex]
can anyone plz help with this
what is the property of 7/9 * 1 = 7/9
Answer:
identity property of multiplication (multiplying a number by one will result in that number)
Step-by-step explanation:
Please help :(
Find the value of X in the triangle shown below.
Answer:
x = 33°
Step-by-step explanation:
All angles in a triangle add up to 180°.
Step 1: Set up equation
x + 114 + 33 = 180
Step 2: Solve for x
Combine like terms: x + 147 = 180Subtract 147 on both sides: x = 33I need help asap thanks
Answer:
B. y=5/4 x-4
Step-by-step explanation:
Slope of line= [tex]\frac{y2-y1}{x2-x1}[/tex]
= [tex]\frac{1-(-4)}{4-0}[/tex]
=5/4
20 points will be given
Answer:
a
Step-by-step explanation:
Ariana is going to invest in an account paying an interest rate of 1.9% compounded monthly. How much would Ariana need to invest, to the nearest ten dollars, for the value of the account to reach $110,000 in 14 years?
Answer:
110000=p(1+0.019)^168
23.62p=110000
p=4660
credit: sqdancefan
Answer:
84330
Step-by-step explanation:
The compound interest formula gives the value of an investment.
A = P(1 +r/n)^(nt)
where principal P is invested at annual rate r compounded n times per year for t years. Using your given values, we can solve for P.
110,000 = P(1 +0.019/12)^(12·14)
P = 110,000/(1 +0.019/12)^(12·14) ≈ 110,000/1.00158333...^168
P ≈ 110,000/1.30446
P ≈ 84326.04 ≈ 84,330 . . . . dollars
Maria made 4 pies for the school carnival. She cut each pie into 8 slices. If she sold 27 slices, how many slices did she have leftover?
Answer:
She had 5 slices left over
Step-by-step explanation:
8 times 4 is 32 so then subtract 27 and you get 5
quick and simpler please im practicing this for class
Answer:
a=9/100 b= 7/20
Step-by-step explanation:
For a all you do is take the 9 out of the 100 in 1.
For b, all you do is take the 35/100, and then simplify it, so in this case it is 7/10 if you divide both the numerator and denominator by 5.
So a = 9/100 and b = 7/20
Find the four consecutive odd integers whose sum is -324
Answer:
x ,x+2, x+4, x+6 it mst b it
Write an equation in slope-intercept form for the line that has a slope of -1/3 and passes through (-6,1)
Answer:
Step-by-step explanation:
I need help answering this question I dont get it at all. please someone help
1)angle 2 and 3
2) angle 8
3)angle 6
