Answer:
65449.8 cm3
Step-by-step explanation:
We start with the volume formula for a sphere: 4/3 πr3
We start with subbing in 25 to r, then we cube 25, which is equal to 15625.
We multiply 4/3 and pi. And lastly we multiply what we got by 15625 and either round the answer or fphaving fixed your calculator.
what scale factor is used to draw the longer trapezoid?
Suppose you budgeted $2800 for fuel expenses for the year. How many miles could you drive if gas were $2.70 per gallon and your vehicle averaged 28 mi/gal?
Answer:
29037.036 miles
Step-by-step explanation
There are two possible ways to solve this problem.
The first option starts with the $2800 dollars for the years. You first want to divide this by $2.70, because it will give you the amount of gallons of gas you can buy with that money.
2800/2.70 = 1037.037
This means you can buy 1037.037 gallons of gas in the year. Now you need to convert this to miles by multiplying by the amount of miles per gallon.
1037.037 x 28 = 29037.036 gallons
The second way to look at this is dimensional analysis. If you have learned this, then continue on reading this, but if you haven't I might only confuse you. I only suggest this because it can make it a little easier.
For the dimensional analysis, you need to start with what you are given and move to what you need to know, so you will start with the $2800 dollars and move to gallons. $2.70 per gallon and 28 miles per gallon are your conversion factors.
Set it up like this:
[tex]2800 dollars * \frac{1 gallon}{2.70 dollars} * \frac{28 miles}{1 gallon} = 29037.036 miles[/tex]
This allows the equation to be more organized, and you can check your work by canceling the units.
Hope this helps.
Arc cd located on circle a has a central angle of 135 the radius is the circle is 24 centimeters what is the length of arc cd
[tex]\textit{arc's length}\\\\ s = \cfrac{\theta \pi r}{180}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=24\\ \theta =135 \end{cases}\implies s=\cfrac{(135)\pi (24)}{180}\implies s=18\pi ~cm[/tex]
Answer:
B) 18π cm
Step-by-step explanation:
Step 1
Given:
Central angle θ=135°
Radius of circle r=24 cm
Length of arc CD =θ360°(2πr)
Step 2
l=135°360°×2π×24
l=38×2×π×24
l=3×2π×3
l=18π cm
Therefore
Length of arc CD =18π cm
Thus, option B is correct.
What inverse operation will be used to undo the volume of Julie's jewelry box to find its edge lengths?
Volume formula for a cube is: volume = edge ^ 3
Answer:
Cubed root
Step-by-step explanation:
Do the inverse of cubed, cubed root
If x and y vary inversely, and x = 8 when y = 1/4, what is y when x = -4?
[tex]y \propto \dfrac 1x\\\\\implies y = \dfrac kx \\\\\implies \dfrac 14 = \dfrac k{8}\\\\\implies k=2\\\\\text{When}~ x =-4\\\\y = \dfrac{k}{x} = \dfrac{2}{-4}= -\dfrac 12[/tex]
Answer the following math questions thank you math experts
Answer:
1) the connection between 2 or more meausures
2) when the r value is closer to 1 or -1 it is a stronger correlation
3) positive correlation would be height and weight. Taller people tend to be heavier. A negative correlation is a relationship between two variables in which an increase in one variable is associated with a decrease in the other
Step-by-step explanation:
choose me as brainlyest:)
The radius of a circle is 61 centimeters.
Enter the circumference of the circle, in centimeters. Round your answer to the nearest hundredth.
Answer:
Circumference of the circle=383.32cm
Step-by-step explanation:
r= 61cm π = 3.142
Formula for the circumference of a circle=2πr
Therefore;
Circumference=2×3.142×61 = 383.32cm.
what is the length of the arc with a measure of 200 degrees in a circle with a radius of 31 inches?
Answer:
403π/9 or 140.67
Step-by-step explanation:
First, you have to find the circumference of the circle
Circle circumference equation:
Circumference = dπ (Circumference = diameter x pi)
You have a radius of 31 which is equal to 62 diameter (diameter is double the radius)
So:
C = 62π
Now, you need to know that a full circle is 360 degrees and we want only 200 degrees of that,
So in other words, you want 200/360 of the circle's circumference.
You can find the measure of the 200 degree arc by doing
62π x [tex]\frac{200}{360}[/tex] = [tex]\frac{403pi}{9}[/tex] or 140.67
Sam buys a tent priced at $50 if the sales tax is 5% how much tax will Sam pay
tax will be = 50 x 5% = $2.5
Help picture below please
Answer:
B. NRS
Step-by-step explanation:
You have to put the letters left to right.
Multiply 6−√5 by its conjugate and simplify
[tex]6 - \sqrt{5} \times \frac{6 + \sqrt{5} }{6 + \sqrt{5} } [/tex]
[tex] \frac{(6 - \sqrt[]{5})(6 + \sqrt{5} ) }{6 + \sqrt{5} } = \frac{36 - 5}{6 + \sqrt{5} } = \frac{31}{6 + \sqrt{5} } [/tex]
Each marble bag sold by Lashonda's Marble Company contains 8 orange marbles for every 5 red marbles. If a bag has 45 red marbles, how many orange marbles does the bag contain?
Answer:
72 orange marbles
Step-by-step explanation:
First, divide 45 by 5 to determine how many red units there are. Then, use that number (9) to multiply with 8 to get the number of orange marbles, which is 72.
Hopefully this helps- let me know if you have any questions!
Which symbol < > = will make the comparison true 4/6 and 4/8
Answer:
4/6 > 4/8
Step-by-step explanation:
To see if the following is true:
We can cross multiply:
[tex]\frac{4}{6}\neq \frac{4}{8}[/tex] {4* 8 = 32} {4*6=24}
Thus,
[tex]\frac{4}{6}=32[/tex]
[tex]\frac{4}{8}=24[/tex]
Hence, [tex]\frac{4}{6} > \frac{4}{8}[/tex]
We can also turn them into decimal:
[tex]\frac{4}6=0.6667[/tex]
[tex]\frac{4}{8}=0.5[/tex]
0.5 is NOT greater than 0.6667 which also means that 4/8 is NOT greater than 4/6.
~lenvy~
The ratio of men to women working for a company is 4 to7. If there are 198 employees total, how many men work for the company
Answer:
Step-by-step explanation:
Which is the better choice: $1000 deposited for a year at a rate of 4.8% compounded semiannually 19) or at a rate of 4.7% compounded quarterly?
[tex]~~~~~~ \stackrel{\textit{\Large 4.8\% semiannually}}{\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 &\$1000\\ r=rate\to 4.8\%\to \frac{4.8}{100}\dotfill &0.048\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{semiannually, thus twice} \end{array}\dotfill &2\\ t=years\dotfill &1 \end{cases}[/tex]
[tex]A=1000\left(1+\frac{0.048}{2}\right)^{2\cdot 1}\implies \boxed{A\approx 1048.58}~~\textit{\Large \checkmark} \\\\[-0.35em] ~\dotfill\\\\ ~~~~~~ \stackrel{\textit{\Large 4.7\% quarterly}}{\textit{Compound Interest Earned Amount}}[/tex]
[tex]A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$1000\\ r=rate\to 4.7\%\to \frac{4.7}{100}\dotfill &0.047\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &1 \end{cases} \\\\\\ A=1000\left(1+\frac{0.047}{4}\right)^{4\cdot 1}\implies \boxed{A\approx 1047.83}[/tex]
Amy joined a gym with a $77 enrollment fee. The equation below can be used to find the total Amy has paid, y, if she has belonged to the gym for x months.
y = 44x + 77
What does the 44 represent in the equation?
A.
the amount for x months of membership
B.
the cost to join
C.
the number of months of membership
D.
the monthly dues
answer
the monthly dues
Answer:
44 represents months
x*y
$77
x
x*y
Suppose we want to choose 6 letters, without replacement, from 10 distinct letters.
Answer:
Step-by-step explanation:
If order matters (much like forming... a 4 digit number-maybe for a safe?), you will be computing "permutations". The formula for "r" items chosen from "n" items, where order matters is Npermutations = nPr = n!/ (n-r)!
Npermutations = 10P6 = 10!/(10-6)= 10*9*8*7*6*5 = 151200
When order doesn't matter (such as in dealing a poker hand, its the cards you end up with that matter not the order in which they are dealt into your hand) you will be computing combinations. The formula for the number of combinations of "r "items from "n" choices is Ncombinations = nCr = n!/((n-r)!r!)
Ncombinations = 10C6 = 10!/((10-6)!6!) = (10*9*8*7)/(4*3*2*1) = 210
Notice how there are far fewer combinations than permutations. This makes sense because if you think about how 6 colors {red, blue, green, white, black, yellow} can be arranged, there are 6!=720 ways to arrange these 6 colors if order matters. If order doesn't matter, this set of 6 colors counts only once.
Same thing with numbers :)
Hope this helped, brainliest is always appreciated! :)
Have a nice day CX
~Mitsuna
Solve
4x957+8465x563+834
please help i need an answer for my homework
Answer:
the answer should be 477,0457 if x means multiply but if not you are not putting the equation in a correct way
Answer:
4770457
you just need to calculate them
Mrs. Woods wants to give each of her 25 students a pencil on the first day
of school. The pencils come in boxes of 12. How many boxes will she need
to purchase?
Answer
3 boxesStep-by-step explanation:
So she needs to give 25 pencils to each student.
1 box = 12
number of boxes = 25/12
=2.08
round it to 3
Therefore she need 3 boxes
Write an explicit formula for an; the nth
term of the sequence 6, 12, 18, ....
Answer:
F(n) = 6n
Step-by-step explanation:
An explicit sequence goes by the pattern: A0 + (n-1)d, where A0 is the starting term, n is the nth term in the sequence, and d is the common difference. The explicit formula for this sequence is F(n) = 6 + 6(n-1), or 6n
find the equation of the line that passes through point a and b
Answer:
y=2x-1
Step-by-step explanation:
Jackson bought cupcakes for his sister's birthday party. 72 out of the 96 cupcakes had sprinkles on top. What percentage of the cupcakes had sprinkles?
Write your answer using a percent sign (%).
A container holds 4 gallons of lemonade. How much is this in pints
Answer:
i think I'd be / the answer is 46
I need HELP with this question!
Answer:
It will be C
Step-by-step explanation:
Because it says least to greatest and C says 1/2 3/8 5/16 7/16 9/32 15/32 and that is least to greatest there you go
A basket contains 4 pears, 1 pineapple, 5 bananas, 3 oranges, and 2 limes.
vin randomly selects one piece of fruit from the basket. What is the
robability that he selects an orange from the basket?
Answer:
3/15
Step-by-step explanation:
there is 15 kinds of fruit totally
4 + 1 + 5 + 3 + 2 = 5 + 5 + 3 + 2 = 10 + 3 + 2 = 13 + 2 = 15
there are 3 oranges; therefore the bility that an orange will be picked is 3 out of 15
A cone has a hight of 18 meters and a radius of 10 meters what is its volume use 3.14
[tex]\textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=10\\ h=18 \end{cases}\implies V=\cfrac{\pi (10)^2(18)}{3}\implies \stackrel{using~\pi =3.14}{V=1884}[/tex]
Find the missing factor.______ x 7 = 2,800
A) 4
B) 40
C) 400
D) 4,000
Answer:
400
Step-by-step explanation:
[tex] \huge\mathbb\orange{ANSWER} [/tex]
[tex] \mathsf \purple{c) \: 400}[/tex]
Solve for x.
x−8=−518
Enter your answer as a mixed number in simplest form by filling in the boxes.
The value of x in the equation, as a mixed number in simplest form is solved as: x = 2 2/9.
How to Solve an Equation?To solve for a variable, say x, in an equation, it means to find the value of x that will make the equation true. Do this by isolating x in the equation.
Given the equation:
x/−8 = −5/18
Cross multiply
18x = (-5)(-8)
18x = 40
Divide both sides by 18
x = 40/18
x = 2 2/9.
Therefore, the value of x in the equation, as a mixed number in simplest form is solved as: x = 2 2/9.
Learn more about equation on:
https://brainly.com/question/1214333
Which function is shown on the graph?
U
T
30
2
2
O f(x) = sino
-14
O f(x) = jcos
OS I
2
ក
O f(x) = -cos
COS
O f(x)=- sin
Answer:
Read the explanation
Step-by-step explanation:
look at the photo
Find the area enclosed by the figure
Fastttttt plsssss
Answer:
Explanation:
So you want to start by finding the area of the big square.
We know the width of the big square is 60cm. The length of the big square is
19
+
24
+
13
=
56
Big square
A
r
e
a
=
L
⋅
W
=
56
⋅
60
=
3360
Now let’s find the little square inside the bigger square. We see from the picture that the width is 34 and the length is 24cm. Using the same formula, we can find the area of the little square.
Little square
A
r
e
a
=
L
⋅
W
=
24
⋅
34
=
816
The area enclosed in the area of the big square minus the area of the little square.
3360
−
816
=
2544
So the area enclosed is
2544
c
m
2
Step-by-step explanation: