Answer:
Rectangle: bh or l · w
Circle: pi(r)²
Rob can complete his bus route in 4 hours. Joan can complete her bus route in 3 hours. If they both left the terminal at 3:00 am and after each completed route returned to the terminal, determine the next time they would leave the terminal at the same time.
Answer:
3:00 pm
Step-by-step explanation:
Given
[tex]Rob = 4\ hrs[/tex]
[tex]Joan = 3\ hrs[/tex]
[tex]Start\ Time = 3:00\ am[/tex]
Required
The next time they leave at the same time
To do this, we first list out the multiples of 4 and 3 (i.e. their time of completing each route)
So, we have:
[tex]Rob: 4, 8, 12, 16, 20...[/tex]
[tex]Joan: 3,6,9,12,15,18....[/tex]
The least common multiple in the above is:
[tex]Least = 12hrs[/tex]
This means that they will meet at the terminal after 12 hours
So, their meeting time is:
[tex]Time = 3:00am + 12\ hrs[/tex]
[tex]Time = 3:00\ pm[/tex]
Paula needs to replace the floor in her family room since her cat peed in several places. She wants to put down both vinyl flooring and carpet in the room. The carpet she selected costs $2 per sq. foot. The vinyl floor covering costs $1 per sq. foot. She has $500 to spend on materials and must cover an area of 300 sq. feet. How much carpet and vinyl flooring will she buy to meet her requirements?
Answer:
c = amount of carpet flooring; v = amount of vinyl flooring2c + 1v = $500v = 100 sq. ft.c + v = 300c = 200 sq. ft.
Step-by-step explanation:
the anwser
12. Which statement best describes the effects on the graph of f(x) = log2 xwhen f(x) is replaced by
f(x-2) + 1?
a. The graph is vertically stretched by a factor of 3, horizontally translated 2 units right, and
vertically translated 1 unit up.
b. The graph is vertically compressed by a factor of 3, horizontally translated 2 units right, and
vertically translated 1 unit up.
c. The graph is horizontally stretched by a factor of 3, horizontally translated 2 units left, and
vertically translated 1 unit up
d. The graph is vertically compressed by a factor of , vertically translated 2 units down, and
horizontally translated 1 unit left.
Answer:
B.
Step-by-step explanation:
Hope it helps thx#CARRYONLEARNING!A pollster believes that 20% of the voters in a certain area favor a bond issue. If 49 voters are randomly sampled from the large number of voters in this area, approximate the probability that the sampled fraction of voters favoring the bond issue will not differ from the true fraction by more than 0.08. (Round your answer to four decimal places.)
Answer:
The probability that the sampled fraction of voters favoring the bond issue will not differ from the true fraction by more than 0.08 is 0.7698
Step-by-step explanation:
Given
n = 64
p = 0.20
X/n -p < 0.06
x-np <0.06n
x-np <0.06 * 64
x-np <3.84
Z score
= (x-np)/sqrt (np(1-p))
= -3.84/ sqrt (64*0.20*0.80)
= -1.20
P (x/n-p<0.06) = P(-1.2<z<1.20) = 1-2*0.1151 = 0.7698
Solve for x.
4x - 14
x + 85
x = [?]
Answer:
x = 33
Step-by-step explanation:
4x - 14 = x + 85
3x = 99
x = 99/3
x = 33
Which Which value of x makes this equation true? -3x+10=5x-8
value of x makes this equation true? -3x+10=5x-8
Answer:
9/4
Step-by-step explanation:
-3x+10=5x-8
or, -3x-5x = -8-10
or, -8x=-18
or, 8x=18 (i.e. - is cancelled)
or, x=18/8
i.e. x=9/4
Hence, the value of x is 9/4
Answer:
The value of x is 9/4
Step-by-step explanation:
-3x+ 10 = 5x - 8
Add 3x both side
-3x + 3x + 10 = 5x + 3x - 8
10 = 8x - 8
Now, Add 8 both side
10 + 8 = 8x - 8 + 8
18 = 8x
8x = 18
Now, Divide by 8 from both side
8x/8 = 18/8
x = 9/4
Thus, The value of x is 9/4
FOR VERIFICATION ONLY:-3x + 10 = 5x - 8
-3(9/4) + 10 = 5(9/4) - 8
-27/4 + 10 = 45/4 - 8
-27 + 4 × 10/4 = 45 - 8 × 4/4
-27 + 40/4 = 45 - 32/4
13/4 = 13/4
Hence, L.HS = R.H.S
-TheUnknownScientist
solve this: - 6 n = 30
Answer:
-6n=30
so find value of n
n=30÷(-6)
n=-5
so, value of n = -5
Answer:
-6 n = 30
or,n=30÷(-6)
or,n=-5
In the following table y is proportional to x.
What is the constant of proportionality?
A. 5/14
B. 5/7
C. 7/5
D.20/7
An account is compounded continuously at 4.5% interest. What was the initial amount deposited if after 8 years it is worth $1720?
9514 1404 393
Answer:
$1200.00
Step-by-step explanation:
The balance is given by the formula ...
A = Pe^(rt) . . . . . principal P invested at annual rate r for t years
Using your numbers, we can find P to be ...
P = Ae^(-rt) = $1720·e^(-0.045·8) = $1720·e^-0.36
P ≈ $1200.00
Portia has purchased a new aquarium for her fish. It is in the shape of a hexagonal prism. 3a) How much water can Portia’s new aquarium hold? * 1 point a) 166.28 cubic inches b) 790.28 cubic inches c) 956.56 cubic inches d) 3120 cubic inches e) 6240 cubic inches
Answer:
D. 3120
Step-by-step explanation:
How many sides does a hexagon have? Six. Let's begin our equation with 6. The area of a triangle formula would be: 1/2 bh. And a hexagon is just six triangles put together. Now our equation is: 6 (1/2 bh) What's bh then? B (base)= 8in. The base is usually always at the bottom. Now we take 10 and add it into the equation. Next we would multiply this by 13. Our equation is now: 6(1/2*8*10)*13. What do you get then? 3120.
For Part B: Portia's new fish require complete darkness for 12 hours a day. Rather than buying a blackout curtain for her room, she decides to make an aquarium cover out of a tropical print, with a blackout liner. How much tropical print fabric will she need to purchase in order to cover the top and sides of the aquarium?
Now, we're dealing with surface area. What is surface area, anyway? Surface area is the sum of all faces. There are 2 hexagonal faces and 6 sides.
What is 6*1/2 *8? 24! Now what's 10*24? That's right, 240!
8*13=104
6(104)=624
624+240=864
What is the total volume of this composite shape? Round your answer to the nearest tenth.
One recipe makes 8 1/2 cups of potato salad. If one serving is 1/2 cup, how many servings does the recipe make?
Answer:
17
Step-by-step explanation:
8.5 / 0.5
The length of one rectangle in a quilt is 6 inches. Its width is 3 inches. About how many of these rectangles do you need to cover an area of 7,500 square inches?
Step-by-step explanation:
Area=2(L+W)
A=2(6+3)
A=2(9)
A=18in²
therefore, 7500/18
=416.66in²
oduced the test statistic χ2=8.95 with a corresponding p-value of 0.03. Which of the following is correct? There is sufficient evidence to reject the null hypothesis at the 0.05 level since the test statistic is greater than the p-value. Answer A: There is sufficient evidence to reject the null hypothesis at the 0.05 level since the test statistic is greater than the p -value. A
Answer:
The null hypothesis must be rejected
Step-by-step explanation:
Here the P value is less than 0.05
which means that the test results are statistically significant and there are sufficient evidence to reject the null hypothesis and accept the alternative hypothesis.
Hence, the null hypothesis must be rejected.
Determine the rate of change of the function given by the table.
A) 2
B) 1
C) -1
D) -2
Please show steps, 100 points and Brainliest
Convert vertex form f(x)=(x+2)^2-25 to factored form.
Answer:
f(x)=x^2+4x-21
Step-by-step explanation:
Answer:
f(x) = (x + 7) (x - 3)
Step-by-step explanation:
f(x)=(x+[tex]2)^{2}[/tex]-25
(x + 7) (x - 3) we put the 2 x's because of the (x+2)^2
now the + 7 and - 3, multiply the 2 numbers = -21 then use those 2 in
(x+2)^2 to add for the answer = -25
find 11/25 of a liter
Answer:
0.44l
Step-by-step explanation:
a litre=1l
11/25 of it=11/25×1l
=0.44l
Answer:
A litre=1 l
Or, 1/25×1
=0.44.
If the graph of f(x) = |x| is shifted up 5 units, what would be the equation of the new graph?
A. g(x) = |x + 5|
B. g(x) = |x| + 5
C. g(x) = |x| - 5
D. g(x) = |x - 5|
Answer:
B. g(x)= |x| + 5
Step-by-step explanation:
-5 represents a vertical shift down, so that narrows it down to either A or B. A shows a shift across the horizontal (X) axis, so it must be B.
how to go in minutes from hours and hours to minutes answer in picture welcome in advance
Answer:
trick:
1 hour = 60 minutes
ex if said to convert 25 minutes to hour so
1 hour/60=1minutes
multiply both sides with 25
25 x 1hour/60=25minutes
5/12 hours=25 minutes
just like that for hour
0.5 mg/mL = ___________ mcg/mL
Answer: 500 mcg/mL
Step-by-step explanation: 0.5 mg/mL = ___________ mcg/mL
0.5 mg/mL(1000)
500 mcg/mL
Answer:
500 mcg / mL
Step-by-step explanation:
this is the ansa when u do 0.5 mg/mL = ___________ mcg/mL
Please solve!
l = 48.1 m, w = 51.62 m, h = 3.42 m
Answer:
Volume? Surface area?
Step-by-step explanation:
Volume=8491.59
Surface area=5647.93
hi what is the answerr??
Given:
The rule of input and output function is:
[tex]25-g[/tex]
To find:
The answer if we put 19.
Solution:
Consider the input and output function is:
[tex]f(g)=25-g[/tex]
Substitute [tex]g=19[/tex], we get
[tex]f(19)=25-19[/tex]
[tex]f(19)=6[/tex]
Therefore, the required answer is 6.
5) Find the measure of the unknown
angle in the triangle
O 100°
O 105
106
0 112
PLEASE HELP
if x=-4 and y=3 what is the value of x-3y^2
a: -13
b: -31
c: -23
d: -85
Answer:
b -31
Step-by-step explanation:
Step-by-step explanation:
x-3y²4-3×3²4-27-23hope it helps
stay safe healthy and happy..help please i cant do this LOL
Answer and Step-by-step explanation:
Answer is in picture.
First you need to translate (or move) to the right 1 unit, the translate (or move) downwards 5 units.
Then, reflect the points over the y-axis (reflecting is like when you see your reflection in a mirror, how your hand lines up with the hand in the mirror)
#teamtrees #PAW (Plant And Water)
¿Existen o no existen los números?.
si existen pero que tipo de números? porque si existen
What is the correct ratio?
D)32/40
Hope it helps you
Answer:
[tex]\frac{24}{40}[/tex]
Step-by-step explanation:
Sin = [tex]\frac{opposite}{hypotenuse}[/tex] (relative to the angle asked for)
The opposite of Angle Z is 24
The hypotenuse no matter what would always be 40; therefore,
Sin(Z) = [tex]\frac{24}{40}[/tex]
Hope this helps!
write and solve proportion answer the question.
25%of what number w is 9
□= 25
100
w= □
Answer:
Answer is 36.
You can simply get this by writing and expression for it
25/100 x w=9
25w/100=9
w= 9x100/25
w=36.
Answer:
36
Step-by-step explanation:
9/w=25/100
cross multiplication:
9*100=25w
900=25w
900=25w / 25
36=w
Find dy/dx if f(x) = x²+9²
Answer:
let y=x²+9²
dy/dx=dx²/dx+d9²/dx
=[tex]2 x^{2-1}+0[/tex]
=2x is a required answer.
I need the answer fast pls
Answer:
B
Step-by-step explanation:
It's B because that's the only answer that talks about the highest temperature, which is mentioned in the question