Answer:
Step-by-step explanation:
Vertex-form equation for a vertical parabola with vertex (h,k):
y = a(x-h)²+k
Plug in coordinates of vertex:
y = a(x+1)²+8
plug in (3,4) and solve for a:
4 = a(3+1)²+8
a = -¼
The equation of the parabola is
y = -¼(x+1)²+8
find the difference 4 1/3 - 2 2/3
Answer:
1 2/3
Step-by-step explanation:
convert to improper fraction:
13/3 - 8/3
then solve:
13/3 - 8/3 = 5/3
convert back to a mixed number (unless your not supposed to, if that is the case then "5/3" is your answer):
"1 2/3" is "5/3" as a mixed number.
so your answer (as a mixed number) is:
"1 2/3"
If the point (-5, -4) is reflected across the x-axis, what are the coordinates of the new point?
Answer:
(-5, 4)
Step-by-step explanation:
Recall that in a reflection across the x-axis the x coordinate stays the same, while the y coordinate flips its sign.
Therefore
(-5, -4) converts under reflection into (-5, 4)
At a party, the punch bowl is hemispherical, with 2 foot radius and open at the top. The fruit punch weighs 66 pounds per cubic foot. At the beginning of the party the bowl is full to the brim. The rules for serving punch require each person to fill the ladle, raise it exactly 1 foot above the top of the owl (without spilling!), and then pour the punch into a cup at that level. After 10 minutes, 30 people have filled 30 cups, and the punch remaining in the bowl is 4 inches deep. Draw a picture of the situation, and then set up the integral for the work W involved in raising the punch until the punch remaining in the bowl has a depth of only 4 inches. Include all pertinent information in the integral, but do not evaluate the integral.
Answer:
W = ∫ [−2/3 to 0] 66π (2−y)(1−y²) dy = 2332π/27
Step-by-step explanation:
Vertical cross-section of bowl is a semi-circle of radius 1, centered at (0,0)
x² + y² = 1 (for y ≤ 0)
Bottom of bowl is at y = −1
Top of bowl is at y = 0
When punch is 4 inches deep, this 1/3 ft above bottom of bowl:
y = −1+1/3 = −2/3
So we integrate from y = −2/3 to y = 0
Radius of cross section at height of y is = x = √(1−y²)
Area of cross section at height y is πr²= πx² = π(1−y²)
Since each person is to lift ladle 2 feet above the top of the bowl, then distance = 2−y
W = Σ (density of punch * distance * volume of punch)
W = ∫ [−2/3 to 0] 66 * (2−y) * πr² dy
W = ∫ [−2/3 to 0] 66π (2−y)(1−y²) dy = 2332π/27
Find the 6th term in the sequence of
11,33,99,297...
Answer:
[tex]2673[/tex]
Step-by-step explanation:
In order to find the answer to this question you must find the rule and then keep applying that rule in till you get to the 6th term of the sequence.
[tex]11,33,99,297[/tex]
[tex]R=\times3[/tex]
[tex]297\times3=891[/tex]
[tex]891\times3=2673[/tex]
[tex]=2673[/tex]
Hope this helps.
What simple interest rate is needed for $1,000 to grow to $1,071.25 in 9 months? (Round to the nearest tenth of a percent, if necessary)
Answer:
9.6%
Step-by-step explanation:
-7z-2=12.
can u please show the work also
Answer:
z = -2
Step-by-step explanation:
-7z -2 = 12
-7z = 14 (add 2 on both sides)
z = -2 (divide -7 on boths sides)
z = -2
-7z = 12 + 2
-7z = 14
z = -14/7
z = -2
4. Find the value of x. 140° 150° 130° to Da) 110 b) 90 O c) 130 O d) 120
Answer:
D
Step-by-step explanation:
The sum of angles of an hexagon is [tex]4\cdot 180[/tex]°.
. sells t-shirts for $2 and shorts for $4 in April the total sales were 600.00 people bought four times as many t-shirts as shorts how many t-shirts and shorts did they sell?
Answer:
200 t-shirts and 50 shorts
Step-by-step explanation:
t= t-shirts
s = shorts
600 = 2t + 4s
t = 4s
600 = 2(4s) + 4s
600 = 8s + 4s ––––> 600 = 12s
s = 50
t = 4(50) –––––> t = 200
check:
600 = 2(200) + 4(50)
600 = 400 + 200
600 = 600
Mac has 1/4 hour left of track practice and must be completed 8 laps around the track before he leaves which equation can be used to find how long has to complete each lap if mac runs at a constant pace?
A. X= 1/4 ÷ 8
B. X= 1/8 ÷ 1/8
C. X= 1/4 ÷ 1/8
D. X= 8 ÷ 1/4
Answer:
(a) [tex]Unit = \frac{1}{4}/8[/tex]
Step-by-step explanation:
Given
[tex]Time = \frac{1}{4}[/tex]
[tex]Lap = 8[/tex]
Required
Determine the time in each lap
The unit time in each lap is calculated by dividing the total time by the number of laps; i.e.;
[tex]Unit = \frac{Time}{Lap}[/tex]
Substitute values for Time and Lap
[tex]Unit = \frac{1}{4}/8[/tex]
Fei Yen bought a 28-pound bag of dog food. How many ounces are in a 28-pound bag of dog food?
Answer:
448 oz.
Step-by-step explanation:
28x16 = 448
Answer:
448 ounces
Step-by-step explanation:
1 pound = 16 ounces
16x28=448
Which of the following could be the lengths of the sides for a triangle that is similar to the triangle shown?
Step-by-step explanation: {KILLA KWEEN} DAISAN NO BAKUDAN--/|BITES ZA DUSTO|\
64 is 128% of what number?
Answer:
64 is 128% of 50
Step-by-step explanation:
The answer is 50!
I used a calculator.
1. 0.5.
2. 50
3. 81.92
4. 2
Identify the coordinates for point D
Answer:
Your Picture is just of -3????
Step-by-step explanation:
What is the total cost for x months?
A local restaurant offers pizza with a choice of toppings from this list: cheese, sausage, pepperoni, mushroom, green peppers, hot peppers, ham, pineapple, and anchovies. How many different 4-toppings pizzas can be made with these toppings?
Answer:
126
Step-by-step explanation:
The number of different 4-toppings pizzas can be made with given toppings is 70.
There are 8 different toppings of pizza are given.
What is a combination?Combinations are selections made by taking some or all of a number of objects, irrespective of their arrangements. The number of combinations of n different things taken r at a time, denoted by nCr and it is given by, nCr=n!/r!(n−r)!,where 0 ≤ r ≤ n.
Here, n=8 and r=4
Now, 8C4
= [tex]\frac{8!}{4!(8-4)!} =\frac{8\times7\times6\times5\times4!}{(4\times3\times2\times1)4!}[/tex]
= (8×7×6×5)/(4×3×2×1)
= 7×2×5
= 70
Therefore, the number of different 4-toppings pizzas can be made with given toppings is 70.
To learn more about the permutation and combination visit:
https://brainly.com/question/28065038.
#SPJ5
Please help with this question
Answer:
One book would cost $13.
Step-by-step explanation:
To solve this all you have to do is divide 65 by 5. Since 65 divided by 5 is 13, 13 is your answer. So one book would cost $13.
I hope this helps you.
Find each percent. 5 is what percent of 15?
Answer:
0.75
Step-by-step explanation:
this is what popped up in my calculator so i hope this helps you. :)
Find the value of x in this triangle
1.
What is the measure of
2.
What is the measure of
3.
What is the measure of
Answer:
What is the Measure if what?
Step-by-step explanation:
GKW = 39°
PKG = 61°
PKW = 90°
PKF = 90°
FKM = 39°
PKM = 129°
WKF = 180°
WKM = 219°
Answer:
1.W&M=141 degerees
2.M&F=39 degerees
3.F&G=141 degerees
Step-by-step explanation:
1= if g&w were 39 degerees to search w&m
= 180-39=141degerees
w&m=141 degerees
2=the same with g&w
3= the same with w&m
Write an expression in the simplest form that represents the perimeter of the following shape
Perimeter is adding all 4 sides together:
8 + 8 + 9x + 9x
Simplify by coming like terms to get:
18x + 16
The answer is d. 18x + 16
A recipe uses 1 1/4 cups of milk to make 10 servings if the same amount of milk is used for each serving how many servings can be made using 1 gallon of milk?
I WILL GIVE BRAINLIEST TO WHOEVER ANSWERS THE QUESTION PLEASE HELP
Answer:
128 servings
Step-by-step explanation:
5/4 cups of milk for 10 servings is equal to 1/8 cup per 1 serving
there are 16 cups in a gallon
let 'n' = # servings in a gallon
so 1/8 : 1 is 16 : n
1/8n = 16
n = 16(8)
n = 128
Jon had 45 dollars in his account. He made 7 dollars
per hour at his job. At the end of the week he had 150
dollars in his account. How many hours did he work?
HELP I’m being timed!!!
Evaluate the function rule below when x=-2
F(x)=1/4x
Answer:
= -1/2
Step-by-step explanation:
F=1/4(-2)
F=-1/4(2)
F=-1(2)/4
F=-2/4
F= -1/2
3/4÷1/5 gffgdfdgfggdggdgdgdfgdgdgdgdgdgdgdgdfgdfgdgd ancer
Answer:
improper fraction- 15/4
Mixed number- 3 3/4
Decimal- 3.75
Step-by-step explanation:
use K.C.F (Keep Change Flip)
plzz help plz and thank youu god bless
Answer:
40?
Step-by-step explanation:
The formula for calculating the circumference of a circle is 2*pi*r. Because pi does not have an end, we'll use 3.14, since that is the approximate value of pi.
2*6*3.14 = 37.68
The outer rim of the pool is about 37.68 meters long.
I guess 40 since its the closest
Catherine and Joseph together bought a video game for $16.40. Joseph contributed $7.80.
Approximately what percent of the total cost did Catherine contribute? * DS
(1 Point)
How do you get the answer
Answer:
16.40-7.80= 8.608.60/16.40×100= 52.43%Answer: 52.4 percent
Step-by-step explanation: So you'd want to subtract 7.80 from 16.40 to get 8.60. Then you'd multiply that by 100 which would give you 860. After you've done that you want to divide 860 by 16.40.
State a, b, and the y-intercept then graph the function and describe the end behavior of the grpahs
9514 1404 393
Answer:
9. a = 3, b = 3, y-intercept = 3
10. a = 5, b = 0.6, y-intercept = 5
Step-by-step explanation:
The picture is fuzzy, but we think the given equations are ...
[tex]\text{9. }f(x)=3(3)^x\\ \text{10. }f(x)=5(0.6)^x[/tex]
You are comparing these to the form ...
[tex]f(x) = a(b)^x[/tex]
so the values of 'a' and 'b' should be readily identifiable. The y-intercept in each case is y = a.
The end behavior depends on whether b > 1 or not. Growth functions (b>1) go to 0 on the left and ∞ on the right. Decay functions (b<1) are the reverse.
__
9. a = 3, b = 3, y-intercept = 3
The end behaviors are (x, f(x)) ⇒ (-∞, 0), (∞, ∞).
__
10. a = 5, b = 0.6, y-intercept = 5
The end behaviors are (x, f(x)) ⇒ (-∞, ∞), (∞, 0).
What is the value of the constant in the equation that relates the height and
width of this rectangle?
(10,25)
Answer:
B
Step-by-step explanation:
25/10=2.5
Answer:
2.5
Step-by-step explanation:
anyone very good in math and wanna helpppp me?
