Answer:
2
Step-by-step explanation:
-3 log₂ (-n + 10) = -16+7
-3 log₂ (-n + 10) = -9
log₂ (-n + 10) = -9/-3
log₂ (-n + 10) = 3
-n + 10 = 2^3
-n + 10 = 8
n=2
The area of a circle is 36 square feet. What is the diameter?
Answer:
The diameter is 6.76
Please read the exaplanation... it always helps!
Step-by-step explanation:
Area of circle = r^2 pi
if the area is 36 then...
36 = r^2 pi to solve for r divide both sides by pi
36/pi = r^2
11.45 = r^2 take the square root of both sides
√11.45 = r RADIUS = 3.38
then multiply by two since the diameter is 2 (radius) and you get...
diameter = 6.76
i hope this helpssssss!!!!!!!
Answer:
[tex]area = \pi {r}^{2} [/tex]
[tex]36 = 3.14 \times {r}^{2} [/tex]
[tex] \frac{36}{3.14} = {r}^{2} [/tex]
[tex] {r}^{2} = 11.46[/tex]
[tex]r = \sqrt{11.46} [/tex]
[tex]r = 3.39[/tex]
[tex]diameter = 2 \times radius[/tex]
[tex]diameter = 3.39 \times 2[/tex]
[tex] = 6.78[/tex]
What is the volume of the triangular right prism?
(7.3ft
7 ft-
10 ft
4 ft
A. 140 ft3
B. 280 743
c. 1,022 ft3
D. 2,044 ft3
Answer:D
Step-by-step explanation:
a water barrel that had 4 gallons of water is being filled with water at a rate of 4 gallons per minute . write a function
Answer:
y=4x+4
Step-by-step explanation:
using y=mx+b, y is y since we are writing a function. 4 would be the slope, as that is added per minute, so that takes the place of m, and x stays the same, which leaves b, the y intercept, to be 4. this is because the barrel already had 4 gallons inside before.
If x^2 y^3 = 10 and x^3 y^2 = 8, what is the value of x^5 y^5
Step-by-step explanation:
so,
x²y³ = 10
x³y² = 8
what is the value of x⁵y⁵ ?
don't you see right away that 2+3 and 3+2 both equal 5 ?
so, x³x² = x⁵
y²y³ = y⁵
so, I only need to multiply both equations with each other. and I get
x²y³×x³y² = 10×8
x⁵y⁵ = 80
why ? because multiplications and exponents (which are nothing else than multiplications) are all communicative :
a×b = b×a.
a tub shaped like a cylinder with a diameter of 18 inches, And a height of 20 inches Is filled to the top with water. Six spherical balls each with a diameter of 8 inches Are placed in the tub and they sink. some water overflows the tub, this amount equals a combined volume of the spheres. Find the exact and the approximate of water that remains in the tub.
The approximate amount of water that remains in the tub after the 6 spherical balls are placed in the tub are 3479.12 in³.
What is the approximate amount of water that remains in the tub?The first step is to determine the volume of the cylinder.
Volume of the tub = πr²h
Where:
r = radius = diameter / 2 = 18/2 = 9 inches h = height π = 3.143.14 x 9² x 20 = 5086.8 in³
The second step is to determine the volume of the 6 balls.
Volume of a sphere= 4/3πr³
r = diameter / 2 = 8/2 = 4 inches
6 x (3.14 x 4/3 x 4³) = 1607.68 in³
Volume that remains in the tub = 5086.8 in³ - 1607.68 in³ = 3479.12 in³
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how to turn 8000 ÷ 5 = 1600 in too an equation like[tex]\sqrt[5]{8000}[/tex] or just a step by step explanation
Answer:
Here is the long division
Step-by-step explanation:
3B What is the value of account after 10 years,
if interest is paid at 3.7%, if no other deposits
or withdrawals are made?
Initial deposit $6500, then compounded annually
Answer:
$9,347.62
Step-by-step explanation:
Compound Interest Formula
[tex]\large \text{$ \sf A=P(1+\frac{r}{n})^{nt} $}[/tex]
where:
A = final amountP = principal amountr = interest rate (in decimal form)n = number of times interest applied per time periodt = number of time periods elapsedGiven:
P = $6,500r = 3.7% = 0.037n = 1t = 10 yearsSubstituting the given values into the formula and solving for A:
[tex]\implies \sf A=6500\left(1+\frac{0.037}{1}\right)^{10 \times 1}[/tex]
[tex]\implies \sf A=6500\left(1.037\right)^{10}[/tex]
[tex]\implies \sf A=9347.617232[/tex]
Therefore, the value of account after 10 years is $9,347.62
Let's see
[tex]\\ \rm\Rrightarrow A=P(1+r)^t[/tex]
P=6500r=3.7%t=10yearsSo
A:-
[tex]\\ \rm\Rrightarrow 6500(1+0.037)^{10}[/tex]
[tex]\\ \rm\Rrightarrow 6500(1.037)^{10}[/tex]
[tex]\\ \rm\Rrightarrow \$ 9347.6[/tex]
15. If m arc BY = 40 degrees, what is m angle YAC? the figure is not drawn to scale.
Using the tangent theorem and the inscribed angle theorem, the measure of angle YAC in the figure is: 70°.
What is the Tangent Theorem?The angle formed at the point of tangency of the radius and the tangent equals 90 degrees based on the tangent theorem.
What is the Inscribed Angle Theorem?According to the inscribed angle theorem, an inscribed angle equals the measure of the arc intercepted.
m∠BAY = 1/2(40) [inscribed angle theorem]
m∠BAY = 20°
m∠BAC = 90° [tangent theorem]
m∠YAC = 90 - 20
m∠YAC = 70°
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Sketch a graph of each of the four angles in the same coordinate plane. Label the ordered pairs that intersect the circle. The angles given are 30°, 150°, 210°, 330°
To Sketch a graph of each of the four angles of 30°, 150°, 210°, 330°, one can follow the example that is given in the image.
What is a sketch?In the mathematics, a sketch is known to be a given category that tells what a thing is all about.
Note that in sketching, one need to take not of the key points and angles and as such, To Sketch a graph of each of the four angles of 30°, 150°, 210°, 330°, one can follow the example that is given in the image.
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Can someone please help me solve this? I’ll give you a brainliest pls!!!
Answer:
1. 84º
Step-by-step explanation:
1. CEB = 180º - 96º
CEB = 84º
you do the rest
A bag of colored paper clips contains 3 red clips
and 6 green clips. What's the probability of
pulling out a red clip and then a green clip?
(Assume that you don't put the first red paper
clip back in the bag.) Write your answer as a
fraction.
Answer:
1/5
Step-by-step explanation:
solution [ calculation of probability ]
P= (3/3+6) × (6/3+6-1)
=3/9×6/10
=1/5
Find the median of the data.
12, 10, 14, 9, 8, 9, 15, 15
Answer:
11
Step-by-step explanation:
First, order the numbers in the given set from least to greatest:
8 , 9 , 9 , 10 , 12 , 14 , 15 , 15
The median is the number found in the middle of the given set. If the amount of numbers in the set are even (as in this case), then you will find the mean of the two middle numbers.
In this case, the middle numbers are 10 & 12:
Find the mean. The mean is found by adding all the numbers together and dividing by the amount of numbers there is:
(10 + 12)/2 = (22)/2 = 11
11 is your median.
~
Answer:
11.
Step-by-step explanation:
12, 10, 14, 9, 8, 9, 15, 15
Arrange in ascending order:
8 9 9 10 12 14 15 15
Here, the median is the mean of the 2 middle numbers:
= (10+12) = 11.
HELPPP!! I’ll give brainliest
How do you decompose the number 120 into a prime number
Answer:
But it not a prime number :( maybe divide
Step-by-step explanation:
Estimate
754÷13
Hurry up please
Answer:
754 divided by 13= 58
I hope this Helps! ;)
PLSSS HELPPPPP with b !!!
Step-by-step explanation:
your a. is wrong.
so, we need to do both.
a.
you did not really read carefully. DE = 4x and not 4.
DE = 4x does not mean x = 4. absolutely not.
so, you cannot just use x=4 in the first triangle.
but you are right, AB and DE correlate between the 2 congruent triangles.
therefore
3x + 6 = 4x
6 = x
so, AB = 3x + 6 = 3×6 + 6 = 18 + 6 = 24 ft
b.
congruent means that the sides and the angles are the same between the 2 triangles.
so,
6y + 12 = 8y + 2
12 = 2y + 2
10 = 2y
y = 5
so, the angle EDF is
8y + 2 = 8×5 + 2 = 40 + 2 = 42°
4.
Triangle DEF is shown below.
E
19-6 m
I
10-4 m
13-2 m
D
It has sides of length 10.4metres, 13.2metres and 19.6metres.
Calculate the size of angle EDF.
Answer:
111.75 degrees
Step-by-step explanation:
EDF = cos^-1((b²+c²-a²)/2bc)
EDF = cos^-1((10.4²+19.6²-13.2²)/2(10.4)(19.6))
EDF = 111.75 degrees
answer question in pic, thanks!!
Answer:
6.42 %
Step-by-step explanation:
3412.23 = 2500(1+i)^5
i = 6.42%
Aaron flips a coin three times, how many outcomes have only one head?
1
2
3
4
3
Step-by-step explanation:
there are 6 solutions, 3 contain 2 heads, i think. dont judge me if its wrong.
Before mr.wonsavage was a superhero in "wontropolis" he made wedding favors fof wedding receptions using peanuts and m&ms. pesnuts cost $3.50 per pound and m&ms cost $8 per pound. mr won wants to make 60 pounds of the peanut/m&ms mixture costings $6.00 per pound. how many pounds of peanuts and m&ms shoukd be mixed?
Answer:
10 pounds of copounds must be mixed
Step-by-step explanation:
Because if Mr wom wants 60 pounds if 1 cost &$6.00 he must take the prime number that can be multiplied by 6 to give us 60. The number is 10.
The volume of a sphere with radius r
is given by the formula V=4/3 π r^3.
Find the volume of a sphere with radius 10 cm is?
Answer:
4186.6 cm³[tex] \: [/tex]
Step-by-step explanation:
In the question, it is given that a sphere has a radius of 10 cm and we have to find the volume of the sphere.
To Find the volume of the cone, we must know this formula :
[tex]\\{\longrightarrow{ \qquad{\underline{\boxed {\pmb{\frak { Volume_{(sphere) }= \dfrac{4}{3} \: \pi {r}^{3}}}}}}}} \\ \\[/tex]
Now, we will substitute the values in the formula :
[tex]\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_{(sphere) }= \dfrac{4}{3} \: \times 3.14 \times {(10)}^{3}}}}}}} \\ \\[/tex]
[tex]\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_{(sphere) }= \dfrac{4}{3} \: \times 3.14 \times 1000}}}}}} \\ \\[/tex]
[tex]\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_{(sphere) }= \dfrac{4}{3} \: \times 3140}}}}}} \\ \\[/tex]
[tex]\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_{(sphere) }= \dfrac{4 \times 3140}{3} }}}}}} \\ \\[/tex]
[tex]\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_{(sphere) }= \dfrac{12560}{3} }}}}}} \\ \\[/tex]
[tex]\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_{(sphere) }= 4186.6 }}}}}} \\ \\[/tex]
Therefore,
The volume of the sphere is 4186.6 cm³Given :
Radius of sphere is 10 cm.To Find :
Volume of sphere.Solution :
As we know that volume of sphere is calculated by the formula :
V = 4/3 πr³Here,
V is volume r is radius Value of π is 22/7Putting the values in the formula,
>> V = (4 / 3) × (22 / 7) × (10)³
>> V = (4 / 3) × (22 / 7) × (10 × 10 × 10)
>> V = (4 / 3) × (22 / 7) × (10 × 100)
>> V = (4 / 3) × (22 / 7) × 1000
>> V = 4 × 22 × 1000 / 3 × 7
>> V = 88 × 1000 / 3 × 7
>> V = 88000 / 3 × 7
>> V = 88000 / 21
>> V = 4190.47 cm³
The following histogram represents the heights of the students in Ari's classroom. Identify at least three things that you
can infer from the histogram about the distribution's center, spread, and overall shape.
Answer:
We can identify that the histogram is skewed to the left (more on the left) the center would be 3 and the spread is saying more students are between 58-59 and 60-61 inches were as there is only 3 for the rest
Step-by-step explanation:
I hope this helps I have the same question and this is what I wrote for my answer
CAN SOMEONE PLASE HELP ME WITH THIS PROBLEM
Answer:
Step-by-step explanation:
Leslie keeps her goats
in a circular pen
enclosed by a fence.
The total length of the
fence is 100 yards.
What is the area of the
goat pen?
Answer:
Step-by-step explanation:
Circumference = 2 π r
100 = 2 π r
r = 100 / 2π
= 50/π
So the area = π r^2
= π * (50/π)^2
= 2500/π
= 795.8 yd^2.
What is the product of 76 and 6.0 x 10^2 expressed in scientific notation?
Answer:
45.6 x 10^3
Step-by-step explanation:
76 can be expressed as 7.6 x 10^1.
Now, you can multiply the two values together.
7.6 x 6.0 is 45.6.
Then, add the two exponents together:
1 + 2 = 3
45.6 x 10^3
if the diameter of a cone is 16cm and the height is 15cm what is the volume? I've tried the formula v=1/3*3.14*r^2*h but the answer wasn't on the choice pick even when I divided the diameter by 2 to get the radius which is 6. and I've tried leg^2 +leg^2=hypotenuse, but I probably did it wrong. If you find the answer could you show how you found it? I'll put u as the brainiest.
Answer:
V= volume of cone A=Ah A= πr2
A= area of base 3
H= height
V= (3.1416)(16)(15) 3.1416x16x15= 753.9
3
V= 753.9 753.9÷3= 251.3 cu. in
3
Volume of the cone is 251.3 cu. in
I hope this helps you. Good luck!
The hypotenuse of a right triangle measures 18 cm and one of its legs measures 10 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.
Answer:
Step-by-step explanation:
This sounds like a Pythagoras theorem question. So what I would do is 18^2 - 10^2= Ans
Then square root the answer
Answer: the answer is 15
What is the answer please?
Step-by-step explanation:
optically, they are congruent.
so, it must be a reflection followed by a translation.
there is no 90° rotation. and the result cannot be created only by a reflection.
Use the diagram to determine which of the statements must be true.
No lines are parallel.
c∥d
a∥b
c∥e
a∥c
d∥e
a∥e
b∥d
Answer:
d∥e
Step-by-step explanation:
The figure shows that line e is perpendicular to line b, and line d is perpendicular to line b.
Theorem: If two lines are perpendicular to the same line, then the lines are parallel.
Since lines d and e are perpendicular to the same line, b, then lines d and e are parallel.
Answer: d∥e
Question Bill needs 864 tiles to tile a bathroom. He can buy tiles individually for $0.40 each, and he can buy them in boxes of 100 for $32.50 per box. What is the least amount that Bill must pay to buy the tiles he needs
The least amount that Bill must pay to buy the tiles he needs is $292.50
What is the least amount?The total cost of buying the tiles individually is : cost per tile x total tiles needed
$0.40 x 864 = $345.60
The total cost of buying the tiles in a box of 100 is : $32.50 x 9 = $292.50
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