Answer:
Step-by-step explanation:
So first we distribute -12 to 6 making that -72 then we distribute the -12 to the 4 making that -48.
So we have -72+-48 = -72 - 48 = -120
It is important to know that the answer is not -120 (10)(-12) = -120
because that is not the distributive property.
Hope this helps
:)
What is the surface area of a cylinder that is 5 centimeters high and has a diameter of 1.5 centimeters?
7.51 cm2
8.6251 cm2
o
10.5 cm
19.551 cm2
Answer: SA≈27.1.
The formula is SA=2πrh+2πr2.
The radius is 0.75 since 1.5 divided by 2=0.75.
Plug it in.
Under her cell phone plan, Savannah pays a flat cost of $37.50 per month and $3 per
gigabyte. She wants to keep her bill at $51.90 per month. Which equation or tape
diagram could be used to represent the context if g represents the number of
gigabytes of data Savannah can use while staying within her budget?
Answer:
(51.90 - 37.50) / 3 = G
14.40 / 3 = G
4.8 = G
Savannah will be able to use 4 gigabytes to stay within her budget.
Step-by-step explanation:
Given that under her cell phone plan, Savannah pays a flat cost of $ 37.50 per month and $ 3 per gigabyte, and she wants to keep her bill at $ 51.90 per month, to determine which equation or tape diagram could be used to represent the context if g represents the number of gigabytes of data Savannah can use while staying within her budget, the following calculation should be performed:
(51.90 - 37.50) / 3 = G
14.40 / 3 = G
4.8 = G
Therefore, Savannah will be able to use 4 gigabytes to stay within her budget.
Please solve for all three parts of the question.
Answer:
f(-5) = 25
f(0) = -2
f(5) = 16
Step-by-step explanation:
Given the functions;
To get f(-5), we will use the function of x where x is less than 0 since -5 is less than zero
at where x < 0, f(x) = x^2
f(-5) = (-5)^2
f(-5) = 25
b) For f(0), where the point where x = 0, f(x)= -2
Hence the value of f(o) = -2
c) For f(5), the function where x > 5 is f(x) = 2x+6
f(x) = 2x+6
f(5) = 2(5)+6
f(5) = 16
If the surface area of a cube is 150 cm2, what is the volume of the cube
Answer:
V = 125 in^3
Step-by-step explanation:
A cube has 6 sides, and the area of each is equal to the side length squared:
A = 6x^2
A is given as 150 cm^2, and so is equal to 6x^2. Thus, x = the side length = 5 cm.
The volume of the same cube is given by V = x^3, which here is 5^3 in^3, or V = 125 in^3
Which one of the following is an equation?
O 3m + 2
3m
2
3m +2 = 11
Answer:
3m+2=11
Step-by-step explanation:
Because equation is joined with equal sign
PLEASE HELP 9) (6 pts.) The perimeter of a rectangle is 100 feet. The length is 10 more than 3 times the width. Define variables and write a system of equations that could be used to find the length and width of the rectangle. For this problem you are NOT being asked to solve the system, just to set it up.
Step-by-step explanation:
sorry i am unable to understand what it is asking but if you inform me more i would love to help
Find the decimal number halfway between the following decimal number 0.7 and 0.5
Answer:
0.6?
Step-by-step explanation:
confused by the question but thats the middle decimal..
. The admission fee for a basketball game is $5 for students and $7 for adults. At one of the girl’s home games, 150 people attended the game and $866 was collected. How many students and how many adults attended the game?
Answer:
Adults =58, Students=92
Step-by-step explanation:
what is the answer
-3x+6(2x+4)=15
Answer:
x=-1
Step-by-step explanation:
use math a way
1 hundredth+3 tenths equal what
.Answer:
The answer is .31
Step-by-step explanation:
When there is a “th” at the end of the number it signals that the number is to the right of the decimal.
Tenths are immediately to the right of the decimal, next is hundredths, then thousandths, and so on.
What is the first error Zoe made in her proof?
a. Zoe used an invalid reason to justify the congruence of a pair of sides or angles
b. Zoe only established some of the necessary conditions for a congruence criterion.
c. Zoe established all necessary conditions, but then used an inappropriate congruence criterion.
d. Zoe used a criterion that does not guarantee congruence
iui
Answer:
a
Step-by-step explanation:
To prove congruence
1 ∠ A ≅ ∠ C → given
2 ∠ DEA ≅ ∠ BEC → vertically opposite angles
3. AE ≅ EC → given
We then have 2 angles and the included side ( side between the 2 angles )
congruent in both triangles, thus Δ AED ≅ Δ CEB ( ASA postulate )
Zoes' error was in assuming ∠ DEA ≅ ∠ BEC was given
Zoe used an invalid reason to justify the congruence of a pair of sides or angles.
Option a is correct.
From given diagram it is observed that,
Line segment AD and CB are parallel and AC is transversal line. So that alternate angles A and C are equal.
[tex]\angle A=\angle C[/tex]
When two lines intersect at any point then vertically opposite angles are equal.
So that, [tex]\angle DEA=\angle BEC[/tex]
Given that , [tex]AE=EC[/tex]
The Angle-Side-Angle Postulate (ASA) states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.
Hence, both triangles are congruent to each other.
Learn more:
https://brainly.com/question/25920974
Donut $2.50
Cupcake $4.25
Ice cream $3.80
I need help finding the equation
in triangle ABC, AC=12 in., BC= 1.5in., and m
Answer:
13.5
Step-by-step explanation:
I am not 100% sure but I really hope this helps you.
Someone plsssssssssssssssssssssssssssssssssssssssssss help (Becca’s dog walking business started with 1 dog. She walks 2 additional dogs each month. How many dogs does she walk in the third month?)
special triangles 45-45-90
9514 1404 393
Answer:
x = y = (√10)/2
Step-by-step explanation:
In an isosceles right triangle, the side lengths are equal, and they are equal to (√2)/2 times the hypotenuse length.
x = y = (√5)(√2)/2
x = y = (√10)/2
Answer:
x = y = [tex]\frac{1}{2}[/tex] [tex]\sqrt{10}[/tex]
Step-by-step explanation:
Using the sine ratio in the right triangle and the exact value
sin45° = [tex]\frac{\sqrt{2} }{2}[/tex]
sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{\sqrt{5} }[/tex] = [tex]\frac{\sqrt{2} }{2}[/tex] ( cross- multiply )
2x = [tex]\sqrt{10}[/tex] ( divide both sides by 2 )
x = [tex]\frac{1}{2}[/tex] [tex]\sqrt{10}[/tex]
Since the base angles are 45° then the triangle is isosceles with both legs congruent , thus
x = y = [tex]\frac{1}{2}[/tex] [tex]\sqrt{10}[/tex]
Solve for x: 3-a/x-a=1/a
PLEASE HELP NEED ASAPPP WILL GIVE BRAINLIEST TO FIRST CORRECT ANSWERRRR
Answer:
x= -a2(the 2 means squared)/1-3a+a2
Step-by-step explanation:
I rll hope this helps
Answer:
x= a^2
----------------
1 - 3a + a^2
Step-by-step explanation:
A standard number cube, labeled numbers 1-6 on each side, is rolled three times. Mary says the chance of rolling a 2 all three times is 1/8. But John disagrees and says the probability for rolling a 2 all three times is 1/216. Who calculated the correct probability or rolling a 2 the three times the n number cube is rolled? Show work to justify your reasoning.
Answer: john answer it correctly
Step-by-step explanation:
6.6.6_=216
Evaluate 79-4*6+12/3
Answer:
59 (the answer should have a positive sign.)Step-by-step explanation:
To solve this problem, you have to solve with order of operations.
Order of operations stands for:
PEMDAS
Parentheses
Exponents
Multiply
Divide
Add
Subtract
Do multiply.
79-4*6+12/3
4*6=24
Rewrite the problem down.
79-24+12/3
Divide.
12/3=4
79-24+4
Add and subtract.
79-24=55
55+4
55+4=59
[tex]\sf\boxed{59}[/tex]
As a result, the final answer is 59.
In the data set below, what are the lower quartile, the median, and the upper quartile. 13, 16, 16, 17, 51, 57, 62, 72, 92, 97
Answer:
I'm rusty on this but I believe:
the median is 54
the lower quartile = 16
the upper quartile is 72
5/16 divided by 3 1/5
Answer:
25/256
Step-by-step explanation:
(5/16) / (3 1/5)
(5/16) / (16/5)
(5/16) * (5/16)
5*5 / 16*16
25/256
NEED HELP ASAP FREE BRAINLIST
Answer:
D). 10699
Step-by-step explanation:
D is right the math is hard to explain.
una escuela debe transportar 200 estudiantes
Answer: a school must transport 200 students
Step-by-step explanation:
Two traffic lights operate independently. Your probability of being stopped at the first one is 0.4 and your probability of being stopped at the second one is 0.7. The probability at being stopped at the first light and second light is 0.3. What is your probability of being stopped at the first light or second light?Make sure to show your work. NEED HELP ASAP. The correct answer was .8 I just don't know how. Thank you.
Answer:
0.54 or 54%
Step-by-step explanation:
P( 1st but not second) = P(1st) - P(1st and Second) = 0.4 - 0.28 = 0.12 = 12%
P( 2nd but not first) = P(2nd) - P(1st and Second) = 0.7 - 0.28 = 0.42 = 42%
Probability of 1 of them (exactly one) = P( 1st but not second) + P( 2nd but not first) = 0.12 (12%) + 0.42 (42%) = 0.54 or also 54%.
Hope this helps!
11r + 7s written form plz i need help
Answer:
eleven r plus seven s
Step-by-step explanation:
thats the written form
A population has standard deviation o=17.5.
Part 1 of 2
(a) How large a sample must be drawn so that a 99.9% confidence interval for u will have a margin of error equal to 4.1? Round the answer up to the nearest integer. (Round the critical value to no less than three decimal places.) A sample size of is needed to be drawn in order to obtain a 99.9% confidence interval with a margin of error equal to 4.1.
Part 2 of 2
(b) If the required confidence level were 95%, would the necessary sample size be larger or smaller? (Choose one) V , because the confidence level is (Choose one) V .
Answer:
a) A sample of 198 must be drawn.
b) Smaller, because the confidence level is smaller.
Step-by-step explanation:
Question a:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.999}{2} = 0.0005[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.0005 = 0.9995[/tex], so Z = 3.291.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
How large a sample must be drawn so that a 99.9% confidence interval for u will have a margin of error equal to 4.1?
This is n for which M = 4.1. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]4.1 = 3.291\frac{17.5}{\sqrt{n}}[/tex]
[tex]4.1\sqrt{n} = 3.291*17.5[/tex]
[tex]\sqrt{n} = \frac{3.291*17.5}{4.1}[/tex]
[tex](\sqrt{n})^2 = (\frac{3.291*17.5}{4.1})^2[/tex]
[tex]n = 197.3[/tex]
Rounding up:
A sample of 198 must be drawn.
(b) If the required confidence level were 95%, would the necessary sample size be larger or smaller?
We have that:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
Solving for n
[tex]\sqrt{n} = \frac{z\sigma}{M}[/tex]
That is, n and z are directly proportion, meaning that a higher value of z(higher confidence level) leads to a higher sample size needed.
95% < 99.9%, so a smaller confidence interval.
Smaller, because the confidence level is smaller.
Please help on both questions. I would appreciate it.
Answer:
first one is 4.5 second one is 45
Step-by-step explanation:
This is a scale drawing of a field. The scale is 1 in.: 10 ft. What is the actual length of the
longer side of the field?
7 in.
5 in.
50 ft
10 ft
70 ft
Answer:7ft
Step-by-step explanation:
i got it right
A company estimates that 0.1% of their products will fail after the original warranty period but within 2 years of the purchase, with a replacement cost of $350. If they offer a 2 year extended warranty for $28, what is the company's expected value of each warranty sold?
Answer:
The expected gain per warranty is $27.65, crazy stuff
Step-by-step explanation:
If the estimate is right, there is a 0.1% probability for each extended warranty that the company has to shell out $350 (we disregard the situation where the replacement fails too, because there is no info that lets us deal with that).
This brings us to cost for the company equal to 0.1%*$350 per warranty sold.
0.1%*$350 = 0.001*$350 = $0.35
And the company gets $28 for each warranty sold, hence they earn
$28 - $0.35 = $27.65
on average.
You want to be able to withdraw $25,000 each year for 20 years. Your account earns 5% interest.
a. How much do you need in your account at the beginning? Do not include units!
b. How much total money will you pull out of the account? Do not include units!
C. How much of that money is interest? Do not include units!
Answer:
a. $311,555.26
b. $500,000
c. $188,444.74
Step-by-step explanation:
The computation is shown below:
a. Here we have to determine the present value
Given that
PMT = $25,000
NPER = 20
RATE = 5%
FV = $0
The formula is shown below:
= -PV(RATE;NPER;PMT;FV;TYPE)
after applying the above formula, the amount that need in the beginning is $311,555.26
b. The total money should be
= $25,000 × 20 years
= $500,000
c. The amount of interest is
= $500,000 - $311,555.26
= $188,444.74
The radius of a. circular garden is 15 feet. About how much fencing will be needed to enclose the garden?
Answer:
94.2 ft of fencing
Step-by-step explanation:
To answer this, find the circumference, C, of the garden, using the circumference formula C = 2(pi)r.
Here, with r = 15 ft, we get C = 2(3.14)(15 ft) = 94.2 ft of fencing will enclose this garden.