Answer:
V = 4/3 π R^3 volume of a sphere
V = π R^2 H volume of cylinder area of base X height
4/3 π R^3 = π R^2 H equal volumes
H = 4/3 R relationship of height to radius for cylinder
H = 4/3 * 13 = 52 / 3 cm = 17 1/3 cm
Laura made$252 for 18 hours of work.
At the same rate, how many hours would she have to work to make $ 168?
Answer:
12
Step-by-step explanation:
Laura makes 14 dollars an hour and it will take her 12 hours to make a total of $168!
what’s the missing side length?
A. 10
B. 7.1
C. 4
D. 35.4
Answer:
ans is 10
Step-by-step explanation:
by using pythagoras theorm
26^2=a^2+24^2
a^2=100
a=10
What is m ZLMN?
OA) 40°
OB)
B) 60°
OC) 75°
OD) 80°
Answer:
A
Step-by-step explanation:
the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
100° is an exterior angle of Δ MLN , then
∠ LMN + 60° = 100° ( subtract 60° from both sides )
∠ LMN = 40°
Find the equation of a line parallel to y = x - 2 that passes through the point (-2,-8).
Answer: y=x-6
Step-by-step explanation:
Jimmy invests $2000 in a money market account earning 8.5% interest compounded continuously. Which of the following is an equation that can be used to determine the value
of Jimmy's investment account after t years?
Answer:
[tex]A=2000e^{0.085t}[/tex]
Step-by-step explanation:
Make sure you understand the formula for continuous compounding first. The formula is:
[tex]A=Pe^{rt}[/tex] where
A= Total
P= Principal (or the amount invested at beginning)
r= Interest rate (as a decimal)
t= Time (in years)
Note: e is an irrational mathematic number similar to π. Its value is around 2.72, but for these problems, you’ll need to use the version already on your calculator that will be called “[tex]e^{x}[/tex].” On most calculators, it can be accessed by 2nd → ln.
Find the values that you are given:
A= What you are looking for
P= 2000
r= 8.5% as a decimal = 0.085
t= What you change
Plug these into the equation:
[tex]A=2000e^{0.085t}[/tex]
This is the answer!
let f(x)=3x+4 and g(x)=2x-5 find (f+g)(x)
Answer:
(f+g)(x) = 5x - 1
Step-by-step explanation:
Let f(x) = 3x + 4 and g(x) = 2x - 5 find (f+g)(x)
f(x) = 3x + 4 and g(x) = 2x - 5, find (f+g)(x)
(f+g)(x) =
f(x) + g(x)
3x + 4 + 2x - 5 (combine like terms)
5x - 1
Therefore, (f+g)(x) = 5x - 1
Hope this helps!
Answer:
5x -1
Step-by-step explanation:
(3x + 4) + (2x - 5) = 3x + 4 + 2x - 5 = 3x + 2x + 4 - 5
5x - 1
A house on the market was valued at $418,000. After several years, the value increased by 9 percent. By how much did the house’s value increase in dollars? What is the current value of the house?
Jax is surveying the number of children in restaurants. One restaurant has 7 children and a total of 42 customers. The next restaurant has 60 customers. Based on his survey, how many can he predict will be children?
A. 25
B. 10
C. 360
D. 5
Answer:
B is the correct answer
Step-by-step explanation:
42/7 = 6
60/6 =10
help///////////llllllllll
Answer:
It is squash
Step-by-step explanation:
This is because for every 3 tomatoes there is one squash. 1 squash times 3 is 3. 3 tomatoes times 3 is 9.
Consider the equation:
x2 + y2 - 2x + 8y + 13 = 0
+
What is the center and radius of the circle?
Answer:
Center: (1,−4)
Radius: 2
Step-by-step explanation:
Mia had 5000 In the bank. She keeps the money in the bank for 4 years at 5% interest. How much interest did she earn?
How do I solve this problem step by step?
Answer:
392.5 in²
Step-by-step explanation:
The area of a composite figure is found by decomposing it into areas that you have formulas for. This figure is easily decomposed to a trapezoid and a rectangle.
TrapezoidThe base lengths of the trapezoid are 20 in and 9 in. Its height is the difference between the height of its top base (21 in) and the height of its bottom base (16 in). That difference is 5 in.
A = 1/2(b1 +b2)h
A = 1/2(20 in + 9 in)(5 in) = 72 1/2 in²
__
RectangleThe area of a rectangle is the product of its base and height.
A = bh
A = (20 in)(16 in) = 320 in²
__
Total areaThe area of the whole figure is the sum of the areas of its parts.
area = trapezoid area + rectangle area
area = 72 1/2 in² +320 in² = 392 1/2 in²
WILL GIVE BRAINLIEST, THANKS AND 5 STARS! PLEASE HELP! LOTS OF POINTS
Sam kicks a ball off of a rooftop. After t seconds, its height, h (in feet), is given by the formula
h (t) = -16t2 + 64t + 80.
*NOTE: Complete this without using graphing features on your calculator, and show all work for credit. You may type out your work or upload it in the next question.
a. What is the maximum height reached by the ball?
b. When did the ball reach its maximum height?
c. When will the ball hit the ground? (Do algebraically)
d. What is the height of the ball after 1 second?
(THIS IS A 4 PART QUESTION, PLEASE DO ALL PARTS!!!) PLEASE GIVE INDEPTH EXPLANATION FOR ALL PARTS!
Answer:
(a) 144 ft
(b) 2 s
(c) 5 s
(d) 128 ft
Step-by-step explanation:
[tex]h(t) = -16t^2 + 64t + 80[/tex]
Part (a)
To find the turning point of the parabola:
1. differentiate the function:
[tex]\implies h'(t) = -32t + 64[/tex]
2. Set it to zero and solve for t:
[tex]\implies h'(t) =0[/tex]
[tex]\implies -32t + 64=0[/tex]
[tex]\implies 32t = 64[/tex]
[tex]\implies t=2[/tex]
3. Input found value of t back into the function and solve for h:
[tex]\implies h(2) = -16(2)^2 + 64(2) + 80=144[/tex]
Therefore, the maximum height reached by the ball is 144 ft
Part (b)
As found in part (a), the maximum height is reached when t = 2, so the ball reached its maximum height at 2 seconds.
Part (c)
The ball will hit the ground when h(t) = 0
1. Set the function to zero
[tex]\implies h(t)=0[/tex]
[tex]\implies -16t^2 + 64t + 80=0[/tex]
2. Solve for t:
Divide both sides by 16
[tex]\implies -t^2 + 4t + 5=0[/tex]
[tex]\implies t^2 - 4t - 5=0[/tex]
Factor:
[tex]\implies t^2 +t-5t - 5=0[/tex]
[tex]\implies t(t+1)-5(t+1)=0[/tex]
[tex]\implies (t+1)(t-5)=0[/tex]
Therefore:
[tex](t+1)=0 \implies t=-1[/tex]
[tex](t-5)=0 \implies t=5[/tex]
As time is positive, t = 5
So the ball will hit the ground at 5 seconds.
Part (d)
To find the height of the ball after 1 second, input t = 1 into the function and solve for h:
[tex]\implies h(1) = -16(1)^2 + 64(1) + 80=128[/tex]
Therefore, the height of the ball after 1 second is 128 ft
--------------------------------------------------------------------------------------
Parts (a) & (b) - alternative method
Rewrite the function in vertex form by completing the square.
Set the function to zero:
[tex]\implies-16t^2 + 64t + 80=0[/tex]
Subtract 144 from both sides:
[tex]\implies -16t^2+64t-64=-144[/tex]
Factor out -16:
[tex]\implies -16(t^2 - 4t +4)=-144[/tex]
Factor expression in brackets:
[tex]\implies -16(t-2)^2=-144[/tex]
Add 144 to both sides:
[tex]\implies -16(t-2)^2+144=0[/tex]
Therefore:
[tex]\implies h(t)=-16(t-2)^2+144[/tex]
The maximum height is the y-value of the vertex.
The vertex is (2, 144) so the maximum height is 144 ft.
The time the ball reached the max height is the x-value of vertex.
So the time then the ball reached the maximum height is 2 s
Molly read 75 pages of the latest thriller mystery novel in 30 minutes. What was her unit rate?
The expression of the unit rate was defined with all parameters rightly inputed the Molly's unit rate is 2.5 pages per minutes
Speed and RateGiven Data
Number of Pages read = 75 pagesTime taken = 30 minutesRequired = rateThe speed/ rate is defined as the number of pages read per minutes passed
Hence the expression for the unit rate is given as
Unit Rate = Number of pages/Time Taken
Substituting our given Parameters
Unit Rate = 75/30
Unit Rate = 2.5 pages per minutes
Learn more about speed here:
https://brainly.com/question/4931057
FIRST TO ANSWRR GETS 30 POINTS!
A jewellery shop is having a sale.
A bracelet is now reduced to £420.
This is 70% of the original price.
a) Work out the original price of the bracelet.
A ring is now reduced to £840.
This is a saving of 40% of the original price.
b) Work out the original price of the ring.
Answer:
a) £600
b) £1400
Step-by-step explanation:
a) Set up a ratio of price to percentage of original price.
Let x = original price
⇒ £420 : 70 = £x : 100%
[tex]\sf \implies 420 : 70 = x : 100[/tex]
[tex]\sf \implies \dfrac{420}{70}=\dfrac{x}{100}[/tex]
[tex]\sf \implies x=100\cdot\dfrac{420}{70}[/tex]
[tex]\sf \implies x=600[/tex]
Therefore, the original price of the bracelet was £600
b) Set up a ratio of price to percentage of original price.
If the ring is reduced by 40% then it is now 60% of the original price, since 100% - 40% = 60%
Let x = original price
⇒ £840 : 60% = £x : 100%
[tex]\sf \implies 840 : 60 = x : 100[/tex]
[tex]\sf \implies \dfrac{840}{60}=\dfrac{x}{100}[/tex]
[tex]\sf \implies x=100\cdot\dfrac{840}{60}[/tex]
[tex]\sf \implies x=1400[/tex]
Therefore, the original price of the ring was £1400
Factor this number sentence for me please
3−12x
Answer: 3(1-4x)
Step-by-step explanation: if you distribute the answer, you will get 3-12x.
Have a nice day!
Find the midpoint of A and B where A has coordinates (2, 4)
and B has coordinates (-3, -9).
Answer:
(-0.5,-2.5)
Step-by-step explanation:
(x1 + x2) / 2 = x midpoint(y1 + y2) / 2 = y midpointX:⇒ 2 + -3 = 5
⇒ 5 / 2 = -0.5
Y:⇒ 4 + -9 = -5
⇒ -5 / 2 = -2.5
→ = (-0.5, -2.5)
Answer:
X = -0.5
Y = -2.5
Step-by-step explanation:
I found this by the forumla determine the X1 and X2 add the together then divide it by 2 for the value of X midpoint. Then add Y1 and Y2 and divide it by 2 together for the value of Y midpoint.
Lots of points
Please help
i add a photo
A drink recipe calls for papaya juice and water. This equation represents the proportional relationship between the number of milliliters of papaya juice (p) and water (w) in the recipe.
5p = 85w
Enter the number of milliliters of water used for 1 milliliter of papaya juice.
Answer:
1/17 mL of water
Step-by-step explanation:
5p = 85w
Divide both sides by 85.
5p/85 = 85w/85
p/17 = w
w = p/17
For 1 mL of papaya juice, p = 1.
w = 1/17
1/17 mL of water is used for 1 mL of papaya juice.
) Andy is walking her dog Sherman on a local trail and Sherman falls 100 feet down a ravine. Andy is overcome with emotion and needs your help to save her dog. (Don’t mess this up!) You can repel down and successfully rescue Sherman, but you must first calculate how much rope is needed.
(a) Fill in your height here rounded to the nearest foot: ___________________
(b) Choose a measure for angle A between 31° and 51° (whole numbers only): ____________
Based on the calculations, the height of this ravine is equal to 143.95 feet.
Given the following data:
Height of ravine = 100 feet.How to calculate the length of rope.First of all, we would assign a variable to the height of the ravine, which is 100 feet tall.
Let the height of ravine be h.
Note: We would choose 46° as a measure for angle A.
From the image attached, we would determine the length of the hypotenuse by using Cosine trigonometric:
[tex]Cos A=\frac{Adj}{Hyp} \\\\Cos 46=\frac{100}{h} \\\\0.6947=\frac{100}{h}\\\\h=\frac{100}{0.6947}[/tex]
h = 143.95 feet.
Read more on trigonometry functions here: https://brainly.com/question/4515552
Verizon phone company charges $48 for unlimited texting per month or $0.16 per text message sent or received. For what amount of text messages would the unlimited plan cost the same as per-text plan?
Answer:
300 text messages sent or received
Step-by-step explanation:
.16 x 300 = 48 which is the same amount as the unlimited texting
Answer:
300
Step-by-step explanation:
this is the answer to this question
3
What is 6
5
rounded to the nearest whole number
Answer:
Rounded to the nearest whole number is 1
Step-by-step explanation:
when you divide 6 by 5 you get 1.2. Since 2 is not five or greater you round down.
I kinda need help : /
Answer:
24 square units
Step-by-step explanation:
There are a couple of ways you can figure the area of the frame:
subtract the inner area from the outer areamultiply the width of the frame by the length of its centerline__
SubtractThe dimensions of the outer rectangle are twice the frame width plus the dimensions of the inner rectangle. That makes them 8 wide by 6 high. Then the difference of areas is ...
A = (8)(6) -(6)(4) = 48 -24 = 24 . . . . square units frame area
__
Width by LengthThe centerline of the frame is a rectangle with 1 unit greater length and width than the inner rectangle. It is 7 units by 5 units, so will have a perimeter of ...
P = 2(L+W) = 2(7+5) = 24 . . . . units
Then the area of the frame is this length multiplied by the width of the frame:
A = (24)(1) = 24 . . . . square units frame area
Pls help me on this problem I’m confused
5 quarts I think 4 cups per quart has 5 quarts and 2 cups I think
Answer:
1 quart = 4 cups
8 × 4 = 32
32 - 6 = 26
26 - 18 = 8
he has 2 quarts left
Can someone help with me
Answer:
yes your answer is 45 degree
Answer:
105°
Step-by-step explanation:
There 360° in a circle, so...
360°-150°-105°=105°
check: 150°+105°+105°= 360°
[Answer] 105°
If I have 234.53 dollars and I want to buy a dirt bike for 784.34 dollars how much more money do I need?
Answer:549.81
Step-by-step explanation:because that is thhe answer you get
Answer:
$549.81
Step-by-step explanation:
Price
$784.34Money in hand
$234.53Money needed
Price - money in hand784.34 - 234.53$549.81Find the area if the trapezoid. THANK YOU!
Answer:
4x^3 - 22x^2 + 6x + 20
Step-by-step explanation:
((b1+b2)/2)(h)
Recommendations
Skill plans
A Math
FL Standards
Seventh grade > * Y.4 Area and perimeter: word problems JER
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A train ticket is 6 centimeters tall and 15 centimeters long. What is its perimeter?
centimeters
Submit
78°F
Partly sunny
DL DC
99
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1
>>
Answer:
42cm
Step-by-step explanation:
It's a rectangle so sides are 6, 6, 15, 15. Σs = 42.
Erin wants to fill the jewelry box with beads. One package of beads is 120 cubic inches. How many packages of beads should Erin purchase to fill the jewelry box completely?
Answer:
9 packages of beads
Step-by-step explanation:
volume of cuboid = area of base × height
⇒ volume of jewelry box = (15 × 12) × 6
= 180 × 6
= 1080 in³
Given:
1 package of beads = 120 in³Number of packages of beads = volume of box ÷ volume of 1 package of beads
⇒ Number of packages of beads = 1080 ÷ 120
= 9
thankyou for all the help
Answer:
1. x + y = 180
2. x = 50 y= 130
Step-by-step explanation:
They're parallel.
We can label the unamed angle z.
So z = y
and 50 = x
There's 360 degrees in a circle, so x + y= 180 because it's half 360 and half a circle.
x=50
so 50 + 50 = 100.
360 - 100 = 260
so 260 ÷ 2 = 130
y = 130 because y and z are equal so they're the same number
Step-by-step explanation:
1. x+y=180
hope that helps