Answer:
6cm
Step-by-step explanation:
The formula for the surface area of a sphere = 4πr²
From the Question, we are given:
The surface area of a sphere = 144pi square centimeters = 144π cm²
The length of the radius of the sphere, in centimeters is calculated by:
4πr² = 144π
Divide both sides by 4π
4πr²/4π = 144π/4π
r² = 36
Square root both sides
√r² = √36
r = 6cm
Therefore, the length of the radius of the sphere, in centimeters is 6 centimeters.
In the diagram, m_1 = (4x + 10)° and mZ2 = (x + 20°. The value of x' is:
Answer:
x=30
(Option 2)
Step-by-step explanation:
Well if the <1+<2=180 then you can put the equation as 4x+10+x+20=180. We can simplify that to be 5x+30=180. Minus 30 from both sides: 5x=150; x=30
List some other perfect cubes that you know
I need help I don’t really understand
Answer:
can you make the graph bigger please?
Select the TWO numbers that have a 4 in the thousandths place. *
Answer:
54,436.004 and 247,892.984
Step-by-step explanation:
Answer:
third and fourth
Step-by-step explanation:
please help what is 3x + 2 = 11
3x = 11 -2
3x = 9
x = 3
just make X the subject of the formula and you will get to ur final answer. Easy.
Answer:
x=3
Step-by-step explanation:
3x+2=11 minus 2 on both sides
3x=9
divide both sides by 3
x=3
24 students in a class took a math test. If 18 students passed the test, what percent passed?
Answer:
18 students is the amount that passed the test
so the fraction would be 18/24, which can be simplified to 3/4, which is 75% of the class.
75% of the class passed
0.75% of the class passed
Answer:
75%
Step-by-step explanation:
24 x 0.75 (75% as a decimal) = 18
How much is the
60% of 4/5
Answer:
0.48
Step-by-step explanation:
find the area of the triangle formed by the vertex and x-intercepts of parabola y=-x^2-3x+10
Answer:
42.875
Step-by-step explanation:
First you find the x-intercepts and the vertex of the equation.
(-5, 0), (-2, 0), (-3/2, 49/4)
You use those coordinates to find the sides of the triangle and then you use the lengths to find the semiperimeter.
Lastly, you use Heron's formula to compute the area.
The area of the triangle is required.
The area of the triangle is [tex]42.875\ \text{units}^2[/tex]
[tex]y=-x^2-3x+10[/tex]
The x intercepts are
[tex]-x^2-3x+10=0\\\Rightarrow x=\dfrac{-\left(-3\right)\pm \sqrt{\left(-3\right)^2-4\left(-1\right)\times 10}}{2\left(-1\right)}\\\Rightarrow x=-5,2[/tex]
The x intercepts are
[tex](-5,0),(2,0)[/tex]
Distance between them is
[tex]2-(-5)=7\ \text{units}[/tex]
Vertex of a parabola is given by
[tex]x=-\dfrac{b}{2a}\\ =-\dfrac{-3}{2\times -1}\\ =-1.5[/tex]
[tex]y=-(-1.5)^2-3(-1.5)+10=12.25[/tex]
So,
Base = b = 7 units
Height = h = 12.25 units
Area is
[tex]A=\dfrac{1}{2}bh\\\Rightarrow A=\dfrac{1}{2}\times 7\times 12.25\\\Rightarrow A=42.875\ \text{units}^2[/tex]
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WILL GIVE BRAINLIEST
Answer:
HARAMBE KNOWS THE ANSWER!!!!!!!!!!!!!!1111Write an essay of at least 250 words that summarizes the main points of the essay by Langston Hughes. Use the information you gathered from your literary analysis to help with your summary. Be sure to create an outline and structure your essay with a thesis statement and supporting details..
Step-by-step explanation:
what is the smallest of three consecutive integers i the sum of the smaller two integers is two more than seven times the largest integers
Answer:
The numbers that meet these conditions are -3, -2 and -1.
This means that the wording of the question is somewhat ambiguous:
The lowest of the three numbers is -3.
The smallest however is -1.
You may need clarification on which of those is being asked for.
Step-by-step explanation:
Let's call those numbers a, b and c, with a the smallest and c the largest. We're told two key things here:
1) The sum of the smaller two integers is two more than seven times the largest integer. In other words a + b = 7c + 2
2) We're looking for three consecutive integers, which means that we can define them with a single variable. If the smallest one is a, then the others are a + 1 and a + 2.
We can take those and put them together, giving us the equation:
a + (a + 1) = 7(a + 2) + 2
Which we can then solve for a:
a + (a + 1) = 7(a + 2) + 2
2a + 1 = 7a + 14 + 2
2a - 7a = 14 + 2 - 1
-5a = 15
a = -3
Since a is -3 and also the smallest, we can then say that the numbers are -3, -2 and -1.
• On Monday the school bus traveled the Green Route 8 times and the Blue Route 9 times, traveling a total of 95 miles. • On Tuesday the school bus traveled the Green Route 12 times and the Blue Route 6 times, traveling a total of 102 miles
Answer: Green route = 5.8 miles
Blue route = 5.4 miles.
Step-by-step explanation:
Let the miles travelled for Green route be x
Let the miles travelled for Blue route be y
We can form an equation from the question given which will be:
8x + 9y = 95 ........ i
12x + 6y = 102 ......... ii
Multiply equation i by 12
Multiply equation ii by 8
96x + 108y = 1140 ....... iii
96x + 48y = 816 ....... iv
Subtract iv from iii
60y = 324
y = 324/60 = 5.4
Blue route is 5.4 miles.
Since 8x + 9y = 95
= 8x + 9(5.4) = 95
8x + 48.6 = 95
8x = 95 - 48.6
8x = 46.4
x = 46.4/8 = 5.8
Green route = 5.8 miles
f(x)= x2 + 6x - 40
find f (5)
1. 15
2. 20
3. 10
4. 16
In a game, scores are written as positive or negative numbers. Tamika's score is -8, Jim's
score is 8, and Brook's score is 5. Which statement is true?
Jim and Tamika both have the same score.
Brook has the lowest score.
Jim's score is lower than Brook's score.
Brook's score is higher than Tamika's score,
A salesperson earns commission on the sales that she makes each mouth.The sales person earns a 5% commissions on the first $5,000 she has in sales. The sales person Earns a 7.5% commissions on the amount of her sales that are greater than 5,000.If the sales person had $8,000 in sales, what amount of commission,in dollars did she earn? Can someone please do Step By Step please
solve the system of equations. y= x + 17, y= 3x+1
Answer:
x=8, y=25. As a point it's (8,25)
Step-by-step explanation:
here is the system:
y=x+17
y=3x+1
notice how both of the equations equal y. Therefore, we can substitute one expression as y in the other expression. (It'll equal y=y, which is a true statement)
so it'll be:
3x+1=x+17
subtract 1 from both sides
3x=x+16
subtract x from both sides
2x=16
divide by 2
x=8
now, substitute 8 as x into one of the equations and solve for y
let's take the first one for example
y=8+17
y=25
so the answer is x=8, y=25. As a point it's (8,25)
Hope this helps!
Mrs. Jean said that 4/12 of the test items are multiple choice, 5/12 or short answer and the rest are matching. What fraction of these items are either multiple choice or short answer
Answer:
3/4
Step-by-step explanation:
THE fraction of these items are either multiple choice or short answer would be the sum of the fractions of the multiple choice and short answer
4/12 + 5 / 12 = 9/12
to simplify , divide both numerator and denominator by 3
3/4
Slope of (10,8) (2,1)
Answer:
slope=7/8
Step-by-step explanation:
8-1/10-2= 7/8
I will mark Brainliest!!! DO WELL FOR BRAINLIEST PLEASE!
What is the definition of Standard Form.
No copying and pasting from Go,ogle either. I will be checking so I will know!
-Northstar
Answer:
Isnt it where you write it in the easiest way to understand it? sorry if its wrong :/
Step-by-step explanation:
If you mean standard from in math it is basically writing down a smaller number instead of a larger one. For example 10 x 10 x 10, you could just write 10*3.
Write 0.68 as a fraction in it's simplest form.
68
6 eighths
34
3 fourths
1725
17 over 25
68100
68 over 100
-3(x - 4) + x(2x + 3)
Step-by-step explanation:
-3(x - 4) + x(2x + 3)
= (-3x + 12) + (2x² + 3x)
= 2x² + 12
= 2(x² + 6).
Answer:
[tex] - 3(x - 4) + x (2x + 3) \\ = - 3x + 12 + 2 {x}^{2} + 3x \\ = 2 {x}^{2} + 12 \\ = 2( {x}^{2} + 6)[/tex]
2(x^2+6) is the right answer.
List ALL the rules for multiplying and dividing integers
Answer:
RULE 1: The product of a positive integer and a negative integer is negative. RULE 2: The product of two positive integers is positive.
RULE 3: The product of two negative integers is positive.
Step-by-step explanation:
Find an equation for the line below.
Answer:
y=-1/2x+3.5
Step-by-step explanation:
HELP ASAP PLEASE! I BEG YOUUUU
Answer: the answer would be 55 but since its says to round to the nearest hundred this would be 50 because its the closest and both lines are equivalent to be the same. plz brainliest plz
Step-by-step explanation:
what is the range of the function f(x)=7-3x when the domain is -4, -2, 0, 2?
pls help asap. i’m giving 75 points
What is a synonym for "average rate of
change"?
Answer:
Velocity :D
Step-by-step explanation:
Answer:
velocity
Step-by-step explanation:
hope this helps! can i get brainliest?
Rick is buying jelly beans at the candy store. He wants to buy the package that has the lowest cost per kilogram.
Which package of jelly beans should Rick buy?
A. 2 kilograms for $10.98
B. 3 kilograms for $16.19
C. 4 kilograms for $21.15
O
D. 5 kilograms for $26.85
Answer:
c
Step-by-step explanation:
Pythagorean theory x2 +7=23
Answer:
x=8
Step-by-step explanation:
2x+7 = 23
2x=16
x=8
Jakob's work is shown below. Steps Jakob's Work Step 1 3 t = 18 dollars and 75 cents Step 2 StartFraction 3 t Over 3 EndFraction = StartFraction 18 dollars and 75 cents Over 3 EndFraction Step 3 t = 6 dollars and 25 cents In which step, if any, did Jakob first make a mistake in his work? step 1 step 2 step 3 no mistake
Answer:
Jakob did not make any mistake
Option d is correct
Step-by-step explanation:
Jakob's work is shown below. Steps Jakob's Work
Step 1
3t = $18.75
Step 2
3t/3 = $18.75/3
Step 3
t = $6.25
Looking at the above calculation, Jakob did not make any mistake. Option d is correct
Answer:
The Answer is option D
Step-by-step explanation:
PLEASE HELP ME!!! ANSWER BOTH QUESTIONS & I WILL MARK BRAINLIEST!!!
1. Ann works 3.5 hours per day 3 days per week. If Ann
earns $6.50 per hour, how much money will she earn
during a 7-week period?
a. $487.25
b. $477.75
c. $432.25
d. $144.00
e. $123.50
2. In the picture below, what is the correct graph of the equation, y = -1/2x + 3
You put $500 in the bank, where it earns 1.5% simple interest each year. How long until your money will triple? Pls hurry awnser only if you know
Answer:
133.33
Step-by-step explanation:
In 133.33 years, the principal amount of $500 at the rate of 1.5% per year will triple.
What is simple interest?Simple interest is an interest which is only based on principal amount, it does not imply on yearly interest.
Given that,
The principal amount put in the bank p= $500
The rate of simple interest r= 1.5 %
Amount will be triple, implies that, Interest would be two times of principal.
Interest = 2 x 500 = 1000
To find the time t, when amount gets triple, use simple interest formula
Interest = (p x r x t)/100
1000 = (500 x 1.5 x t)/100
200/1.5 = t
133.33 = t
The required time in which the money will triple is 133.33 years.
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