Answer:320 cubic cm
Step-by-step explanation: if you multiply 16x20m you get 320 cm
Jack rides in a motorboat against a river current for 36 km. Then he returns to his starting point by floating down river on a raft. Tommy travels 9 hours less on the motorboat than on the raft. Find the speed of the river current if the speed of the motorboat in still water is 15 km/h.
Answer:
3 km/h
Step-by-step explanation:
You want to know the speed of the river current if floating 36 km downstream takes 9 h longer than the trip upstream in a boat with a speed relative to the current of 15 km/h.
TimeThe relation between time, speed, and distance is ...
time = distance / speed
If c represents the speed of the current, then 15-c is the speed upstream. The relation between the travel times is ...
36/(15 -c) = 36/c -9
SolutionMultiplying by c(15-c), we have ...
36c = 36(15 -c) -9(c)(15-c) . . . . . . . multiply by c(15-c)
36c = 540 -36c -135c +9c² . . . . . eliminate parentheses
9c² -207c +540 = 0 . . . . . . . collect terms
c² -23c +60 = 0 . . . . . . . . divide by 9
(c -20)(c -3) = 0 . . . . values that make the factors zero are c=20, c=3
The speed of the current is 3 km/h.
__
Additional comment
The speed of the current cannot be greater than 15 km/h, or the boat could not go upstream. The speed of the current cannot be greater than 4 km/h, or the trip downstream would take less than 9 hours.
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Addison is designing a new board game, and is trying to figure out all the possible outcomes. How many different possible outcomes are there if she rolls a fair die in the shape of a cube that has six sides labeled 1 to 6, spins a spinner with 5 equal-sized sections labeled Monday, Tuesday, Wednesday, Thursday, Friday, and rolls a fair die in the shape of a pyramid that has four sides labeled 1 to 4?
Total outcomes:
So the final answer is "60"
Big Ed’s car dealership is running a special on 2008 trucks. Big Ed offers financing at a rate of 6. 71% on a loan with a term of 36 months, but he requires the customer to make a down payment of 15% of the cost of the vehicle. You are interested in a Car Crusher truck that costs $25,230. Not including the down payment, how much will you pay over the lifetime of the loan? a. $27,924. 84 c. $23,735. 88 b. $25,789. 32 d. $21,445. 50.
Answer:
Correct answer: a.
Computation:
{eq}\begin{align*} {\rm\text{Present}}\;{\rm\text{value}}\;{\rm\text{of}}\;{\rm\text{an}}\;{\rm{annuity}}\;
Step-by-step explanation:
Financing:
Financing is generally the method to provide funds to the business so that the business can grow its operations. There are generally two types of financing. These are: Equity financing and debt financing. In debt financing, there is no obligation and burden to repay the funds acquired by it. Debt Financing is comparatively Cheaper than the Equity Financing.So The Answer Is A
The amount that you pay over the lifetime of the loan is $21,445.5. Then the correct option is D.
What is the percentage?The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.
Big Ed’s car dealership is running a special on 2008 trucks.
Big Ed offers financing at a rate of 6.71% on a loan with a term of 36 months, but he requires the customer to make a down payment of 15% of the cost of the vehicle.
You are interested in a Car Crusher truck that costs $25,230.
Not including the down payment, the amount that you pay over the lifetime of the loan will be
⇒ (1 - 0.15) × $25,230
⇒ 0.85 × $25,230
⇒ $21,445.5
More about the percentage link is given below.
https://brainly.com/question/8011401
PLS HELP ME PLS I WILL MARK THE BRAINLIEST
Step-by-step explanation:
the area of a full circle (360°) is
pi×r²
r = 15 ft in our case
the area of a segment of a circle is the corresponding fraction of the whole circle area.
the angle of the shaded area is
360 - 332 = 28°
therefore, the area of the shaded area is
pi×15²×28/360 = pi×225×28/360 = pi×225×7/90 =
= pi×5×7/2 = 54.97787144... ft²
≈ 54.98 ft²
the area of the "ice rink" is the sum of a rectangle and a circle (which is split into 2 halves that are attached to both sides of the rectangle).
the radius of the circle is 7/2 = 3.5 meters.
the length of the rectangle in the middle is
18 - 2×3.5 = 18 - 7 = 11 meters.
so, the area of the rectangle is 11×7 = 77 m²
the area of the circle is
pi×r² = pi×3.5² = pi×12.25 = 38.48451001... m²
that means the total area is
77 + 38.48451001... = 115.48451... m² ≈ 115.48 m²
PLS HELP WILL MARK YOU BRAINLIEST! NO FAKE ANSWERS! An inheritance of 2 Million was given to a young professional by his parents. He invested the entire amount in real estate, mutual funds, government bonds, and crytocurrencies.
Answer:
a) 17.5%
b) $150,000
c) 27°
Step-by-step explanation:
Angles around a point add up to 360°.
Therefore, to find the percentage of the portion of the pie chart, divide the degree of the portion by 360° and multiply by 100%
Assuming that Real Estate is half of the circle, and Mutual Funds are a quarter of the circle.
a) Government Bonds = (63° ÷ 360°) x 100% = 17.5%
b) Crypto Currency = 90° - 63° = 27°
Therefore, (27° ÷ 360°) x 100% = 7.5%
7.5% of $2,000,000 = 0.075 x $2,000,000 = $150,000
c) Crypto Currency = 90° - 63° = 27°
#a
Find percentage (whole is 360°)
63/360×1000.175(100)17.5%#2
Angle of crypto=180-(90+63)=180-153=27°
Percentage:-
27/360×1000.075(100)7.5%Total
2M(0.075)0.15M150K#c
Found in second part
help me w this question please
Answer:
2560000 or 2.56*10^6
Step-by-step explanation:
[tex]\frac{((-4)^6)^2*(-5^2)^3}{(-4)^6*(-5)^2}[/tex]
[tex]\frac{(-4)^1^2*(-5^6)}{(-4)^6*(-5)^2}[/tex]
[tex]\frac{16777216*15625}{4096*25}[/tex]
[tex]\frac{262144000000}{102400}[/tex]
[tex]2560000[/tex]
Which equation can be used to find x, the length of the hypotenuse of the right triangle? a triangle has side lengths 63, 16, x. 16 63 = x 16 squared 63 = x (16 63) squared = x squared 16 squared 63 squared = x squared
The Pythagoras is the sum of the square of two sides equal to the square of the longest side. The equation is x² = 16² + 63² then the correct option is D.
What is a right-angle triangle?It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.
The dimensions of the triangle are 16, 63, and x.
Where x is the hypotenuse.
By the Pythagoras theorem, we have
x² = 16² + 63²
More about the right-angle triangle link is given below.
https://brainly.com/question/3770177
Answer:
D. 16 squared + 63 squared = x ^2 is the answer.
Step-by-step explanation:
(I WILL GIVE BRAINILEST AND 35 POINTS!)Calculate the Volume of the prism by first finding the total number of half-unit cubes that will fill it. There are 8 half-unit cubes in every unit cube
Answer: the answer is “B”
Step-by-step explanation: answer is LETTER B
25= 5(3X-4)^1/3
PLEASE HELP AND SHOW WORK!
THANKS SM
Answer:
[tex]x=43[/tex]
Step-by-step explanation:
Given equation:
[tex]25=5(3x-4)^{\frac13}[/tex]
Divide both sides by 5:
[tex]\implies 5=(3x-4)^{\frac13}[/tex]
Cube both sides:
[tex]\implies 5^3=((3x-4)^{\frac13})^3[/tex]
[tex]\implies 125=(3x-4)^{\frac33}[/tex]
[tex]\implies 125=(3x-4)^1[/tex]
[tex]\implies 125=3x-4[/tex]
Add 4 to both sides:
[tex]\implies 129=3x[/tex]
Divide both sides by 3:
[tex]\implies x=43[/tex]
Answer:
x = 43
Step-by-step explanation:
25 = 5∛(3x - 4)On cubing the entire expression :15625 = 125(3x - 4)3x - 4 = 1253x = 129x = 43Tiesha made 36 cookies. There are 6 dark chocolate chips in each cookie. Some of the cookies, c, also have 4 white chocolate chips in them each. In all, the cookies have 232 chocolate chips in them. Which equation represents this situation?
A.
(36 × 6) + (c × 4) = 232
B.
(36 × 4) + c = 232
C.
c × 36 = 232
Answer:
Your answer would be:
A.) (36 × 6) + (c × 4) = 232
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
Cynthia, a resident of Ottawa, earns $41,875 annually. If the Canadian government levies an income tax of 18. 6% on Cynthia’s tax bracket, what is her annual take-home pay? a. $39,623. 66 b. $34,086. 25 c. $27,016. 13 d. $22,513. 44.
Answer:
B. $34,086
Step-by-step explanation:
did the math
The total amount of annual take-home pay of Cynthia is $34,086.25
What is income tax?Income tax is a tax applied on individuals or entities concerning income or profit earned by them.
Cynthia earns $41,875 annually.
If the Canadian government levies an income tax of 18.6% on Cynthia’s tax bracket.
It can be calculated as
41,875 × 18.6%
41,875 × 18.6/100 = 7,788.75
The annual take-home pay
41,875 - 7,788.75 = $34,086.25
Thus, The total amount of annual take-home pay is $34,086.25.
Learn more about income tax;
https://brainly.com/question/27153555
Grade 9 maths!!! Due tonight
Answer:
a. 7 by 21
b. a(-12, 2), b(-12, -5), c(9, -5)
Step-by-step explanation:
AD is 3 times the length of AB. X can be the length of AB. Then 3x would be the length of AD. The perimeter is 56, which would also be 3x + x + 3x + x which is 8x. This gives us 8x = 56, meaning that x is 7, or the length of AB is 7. Because AD is 3 times the length of AB (which is 7), AD = 21. Therefore, the dimensions of the rectangle ABCD is 7 by 21.
Coordinates of A have to be 21 units away from D since AD = 21. It goes in the left direction, meaning that 21 is subtracted from 9 (since this is a horizontal edge involving x coordinates) while the y value remains the same. The result is (-12, 2). For coordinate B, it has to be 7 units away from A downwards since AB = 7. This means that you subtract 7 from 2 (involving only the y coordinates), resulting in (-12, -5). For coordinate C, it has to be 21 units from B since BC = AD = 21. Because C is right compared to B, you have to add 21 to -12 (involving only the x coordinate) resulting in (9, -5).
Please help i am confused
Answer: 18x + 12
Step-by-step explanation:
Step #1: Determine the length of each side.
The polygon is regular, so all the sides are equal. Thus, all sides measure 3x+2.
Step #2: Determine the number of sides in the polygon.
This polygon is identified as a hexagon meaning it consists of 6 sides.
Step #3: Set up an expression and distribute.
(Number of sides) x (Length of each side)
(6)(3x+2)
6 times 3x equals positive 18x6 times 2 equals positive 12So, the answer is 18x + 12.
Answer:
B. 3x + 2
Step-by-step explanation:
The polygon has 6 equal sides.
1 side has a side length of 3x + 2
Therefore, all sides of the polygon measure 3x + 2
Hope this helps!
Can someone help me with this. Please I beg you.
Answer:
180 cm
Step-by-step explanation:
You+deposit+$500+in+an+account+that+pays+5%+interest+compounded+yearly. +how+much+money+is+in+the+account+after+4+years?
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$500\\ r=rate\to 5\%\to \frac{5}{100}\dotfill &0.05\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{yearly, thus once} \end{array}\dotfill &1\\ t=years\dotfill &4 \end{cases} \\\\\\ A=500\left(1+\frac{0.05}{1}\right)^{1\cdot 4}\implies A=500(1.05)^4\implies A\approx 607.75[/tex]
The final amount will be $607.75 after 4 years if the principal amount is $500 and it compounded annually with interest rate of 5%
What is compound interest?It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.
We can calculate the compound interest using the below formula:
[tex]\rm A = P(1+r)^t[/tex]
Where A = Final amount
P = Principal amount
r = annual rate of interest
n = how many times interest is compounded per year
t = How long the money is deposited or borrowed (in years)
We have in the problem:
P = $500, r = 5% = 0.05, and n = 4 years
[tex]\rm A = 500(1+0.05)^4[/tex]
A = $607.75
Thus, the final amount will be $607.75 after 4 years if the principal amount is $500 and it compounded annually with interest rate of 5%
Learn more about the compound interesthere here:
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A recipe requires 34 cups of milk. Paula is making 12 of the recipe. How many cups of milk will Paula use?
investments historically have doubled every 9 years. If you start will a $2,000 investment, how much money would you have after 45 years?
Answer:
$64,000
Step-by-step explanation:
Friday, 45 / 9 = 5
So the investment will double 5 times
First time
2,000 (starting investment) × 2 = 4000
Second time
4000 × 2 = 8000
Third time
8000 × 2 = 16000
Fourth time
16000 × 2 = 32000
Fifth and final time
32000 × 2 = 64000
$64,000
what iis the square root of 158
Answer:
The answer is 12.56, which can be rounded to 12.7 or 13. :)
Need some help with this. It says to find x.
Answer:
x= 5
Step-by-step explanation:
Since RQ= PQ,
3x= 15
Divide both sides by 3:
x= 15 ÷3
[tex]\textcolor{red}{x = 5}[/tex]
[tex]\textcolor{steelblue}{\text{Prove for RQ}= \text{PQ}}[/tex]
Let SP= x
RS= SP= x (given)
Let SQ= y
Applying Pythagoras' Theorem,
In triangle QRS
(RQ)²= (RS)² +(SQ)²
(RQ)²= x² +y²
[tex]RQ = \sqrt{ {x}^{2} + {y}^{2} } [/tex]
In triangle QPS
(PQ)²= (SP)² +(SQ)²
(PQ)²= x² +y²
[tex]PQ = \sqrt{ {x}^{2} + {y}^{2} } [/tex]
Thus, RQ= PQ.
Answer:
Step-by-step explanation:
3x = 15
3x/3 = 15/3
x = 5
3(5) = 15
At a clover city council meeting, a plan to fund more sign language programs was presented. the reasoning behind the request was that less than 25% of parents with hearing-impaired children have the ability to pass a sign-language exam. if this is true, the council will agree to fund more programs for these parents. the council decides to take a 175-person volunteer sample of parents in clover city that have children with auditory issues and conduct a significance test for h0: p = 0.25 and ha: p < 0.25, where p is the proportion of these parents that can pass the sign language exam. they will perform the significance test at a significance level of ? = 0.05 for the hypotheses.
part a: describe a type ii error that could occur. what impact could this error have on the situation?
part b: out of the 175 volunteer parents of children with hearing problems, 54 passed, resulting in a p-value of 0.96. what can you conclude from this p-value given the data of the 175 parents is sufficient to perform a significance test for the hypotheses?
part c: what possible defect in the study can you find in part b? explain
The type II error is the probability of accepting the null hypothesis when it's false.
How to explain the probability?a. From the information, the proportion of parents who passes the sign language test is not less than 25%.
b. Since the p value is greater than 0.05, the null hypothesis is rejected. Therefore, the proportion of parents who passes the sign language test is not less than 25%.
c. The possible defect in the study is that the parents if the children with hearing problem should be selected randomly.
Learn more about probability on:
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The nth term of a sequence is n2 + 5 (a) (i) Find the first two terms of this sequence. (ii) Is 126 a term of this sequence? You must show how you get your answer
Answer:
126 is a term in the sequence. Please check my assumption on the correct formula.
Step-by-step explanation:
I will assume that n2 + 5 is actually n^2 + 5.
Starting with n=0, use the formula to calculate successive values of n. The attached table is the result of n from 0 to 22. At n=11, the result is 126, so 126 is a term in the sequence.
If the expression is actually n2 + 5, calculate the values for y = 2n + 5. 126 would not be a term in this sequence.
Find the missing side of a right triangle if side a=7 and side b=11.
Step-by-step explanation:
c² = a² + b²
c² = 7² + 11²
c² = 49 + 121
c² = 170
now u have to square root it
c² = 170
c = 13
Simplify:
Q1) 4k – 8p + 4k - 5p
Answer:
- 13p + 8k
Step-by-step explanation:
[tex]4k-8p+4k-5p[/tex]
[tex]\mathrm{Group\:like\:terms}[/tex]
[tex]=-8p-5p+4k+4k[/tex]
[tex]\mathrm{Add\:similar\:elements:}\:-8p-5p=-13p[/tex]
[tex]=-13p+4k+4k[/tex]
[tex]\mathrm{Add\:similar\:elements:}\:4k+4k=8k[/tex]
[tex]=-13p+8k[/tex]
[RevyBreeze]
can someone please help!!
I need the answer and explanation. Pls don’t waste my points
Answer:
13 [tex]\frac{1}{3}[/tex]% are green
Step-by-step explanation:
totalling the marbles
red = 6
blue = 7
green = 4
orange = 13
total marbles = 6 + 7 + 4 + 13 = 30
fraction of green marbles = [tex]\frac{4}{30}[/tex] = [tex]\frac{2}{15}[/tex]
To change a fraction to a percentage multiply the fraction by 100%
[tex]\frac{2}{15}[/tex] × 100% = 0.1333.. × 100% = 13.33 % = 13 [tex]\frac{1}{3}[/tex]%
Find the length of x in the 45 degree, -45 degree, -90 degree triangle. Show work
Answer:
Option A
Step-by-step explanation:
Given:
Angle=45°Base= 9hypotenuse = x[tex] \sf \therefore \: cos \: 45 \degree = \frac{base}{hypotenuse} = \frac{9}{x} [/tex]
[tex] \sf \cos(45 \degree) = \frac{1}{ \sqrt{2} } [/tex]
[tex] \sf \frac{1}{ \sqrt{2} } = \frac{9}{x} [/tex]
[tex] \therefore \: \rm \: x = 9 \sqrt{2} [/tex]
BIG IDLAS MATH
#19 i
Evaluate the expression. Write your answer in scientific notation.
(6 x 10-3) + 0.23 – (5 x 10-2) =
Answer:
Step-by-step explanation:
9.23
what is the word for:
The solid, liquid, or gas through which sound travels:
Answer:
I believe your answer would be Soundis
Answer:
A material through which sound waves can travel is called a medium.
Please help me with this question , we are now just learning it .
Answer:
angle 3 and angle 4 are adjacent angle
What mistake did she make? ill give brainliest
Answer
C you cannot divide matricies like that
Step-by-step explanation:
you can only multiply by the inverse in which the order matters. if there is a 4th possible answer then that may be more correct
hello, can someone answer this question, please show work
Answer:
It's 10(10+3)
Step-by-step explanation:
10x10 is 100 and 3x10 is 30 which gives you 100+30
Answer:
a) 10(10 + 3)
Step-by-step explanation:
Which expresison is equivalent to 100 + 30 (130)?
a) 10(10 + 3)
10(10) + 10(3)
100 + 30 <== equivalent
130
b) 10(10 + 2)
10(10) + 10(2)
100 + 20 <== NOT equivalent
120
c) 5(20 + 25)
5(20) + 5(25)
100 + 125 <== NOT equivalent
225
d) 10(10 + 4)
10(10) + 10(4)
100 + 40 <== NOT equivalent
140
Therefore, the correct answer is 10(10 + 3)
Hope this helps!