Answer:
k = z/4 + 3
Step-by-step explanation:
8k-2z = 24
8k = 24 + 2z
k = (24 + 2z)/8
k = (24 + 2z) / (4*2)
k = (12 + z) / 4
k = 3 + z/4
A cylinder has a volume of 320 cubic inches and a height of 5 inches.
What is the radius of the cylinder?
O A. 4 inches
B. 8 inches
C. 16 inches
D. 32 inches
Answer:
The radius is 8 inches
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h
Assuming you mean 320 pi for the volume
320 pi = pi r^2 ( 5)
320 =5pi r^2
Divide each side by 5pi
320 pi / 5pi = 5 pi r^2 / 5pi
64 = r^2
Take the square root of each side
sqrt(64) = sqrt(r^2)
8 = r
The radius is 8 inches
Answer:
[tex]\Huge \boxed{\mathrm{4.51 \ inches}}[/tex]
[tex]\rule[225]{225}{3}[/tex]
Step-by-step explanation:
[tex]V=\pi r^2 h[/tex]
The volume is 320 in³.
The height is 5 in.
[tex]320=\pi r^2 * (5)[/tex]
Solving for [tex]r[/tex].
Dividing both sides by 5.
[tex]64=\pi r^2[/tex]
Dividing both sides by [tex]\pi[/tex].
[tex]20.371833=r^2[/tex]
Taking the square root of both sides.
[tex]r= 4.513517[/tex]
The radius is 4.51 inches.
[tex]\rule[225]{225}{3}[/tex]
Simplify What is x to the power of 3 times x to the power of 7?
Answer:
Here is your answer-
x³×x⁷
you just need to add the powers here.
x¹⁰
The sizes of houses in Kenton County are normally distributed with a mean of 1346
square feet with a standard deviation of 191 square feet. For a randomly selected
house in Kenton County, what is the probability the house size is:
a. over 1371 square feet?
O Z=
o probability =
b. under 1296 square feet?
O Z=
o probability =
c. between 773 and 1637 square feet?
o zl =
o Z2 =
o probability =
Note: Z-scores should be rounded to 2 decimal places & probabilities should be
rounded to 4 decimal places.
License
Points possible: 8
This is attempt 1 of 3.
Answer:
(a) The probability that the house size is over 1371 square feet is 0.4483.
(b) The probability that the house size is under 1296 square feet is 0.3974.
(c) The probability that the house size is between 773 and 1637 square feet is 0.9344.
Step-by-step explanation:
We are given that the sizes of houses in Kenton County are normally distributed with a mean of 1346 square feet with a standard deviation of 191 square feet.
Let X = the sizes of houses in Kenton County
The z-score probability distribution for the normal distribution is given by;
Z = [tex]\frac{X-\mu}{\sigma}[/tex] ~ N(0,1)
where, [tex]\mu[/tex] = mean size of houses = 1346 square feet
[tex]\sigma[/tex] = standard deviation = 191 square feet
(a) The probability that the house size is over 1371 square feet is given by = P(X > 1371 square feet)
P(X > 1371) = P( [tex]\frac{X-\mu}{\sigma}[/tex] > [tex]\frac{1371-1346}{191}[/tex] ) = P(Z > 0.13) = 1 - P(Z [tex]\leq[/tex] 0.13)
= 1 - 0.5517 = 0.4483
The above probability is calculated by looking at the value of x = 0.13 in the z table which has an area of 0.5517.
(b) The probability that the house size is under 1296 square feet is given by = P(X < 1296 square feet)
P(X < 1296) = P( [tex]\frac{X-\mu}{\sigma}[/tex] < [tex]\frac{1296-1346}{191}[/tex] ) = P(Z < -0.26) = 1 - P(Z [tex]\leq[/tex] 0.26)
= 1 - 0.6026 = 0.3974
The above probability is calculated by looking at the value of x = 0.26 in the z table which has an area of 0.6026.
(c) The probability that the house size is between 773 and 1637 square feet is given by = P(773 square feet < X < 1637 square feet)
P(773 < X < 1637) = P(X < 1637) - P(X [tex]\leq[/tex] 773)
P(X < 1637) = P( [tex]\frac{X-\mu}{\sigma}[/tex] < [tex]\frac{1637-1346}{191}[/tex] ) = P(Z < 1.52) = 0.9357
P(X [tex]\leq[/tex] 773) = P( [tex]\frac{X-\mu}{\sigma}[/tex] [tex]\leq[/tex] [tex]\frac{773-1346}{191}[/tex] ) = P(Z [tex]\leq[/tex] -3) = 1 - P(Z [tex]\leq[/tex] 3)
= 1 - 0.9987 = 0.0013
The above probabilities are calculated by looking at the value of x = 1.52 and x = 3 in the z table which has an area of 0.9357 and 0.9987 respectively.
Therefore, P(773 square feet < X < 1637 square feet) = 0.9357 - 0.0013 = 0.9344.
What is the sum of 73.04 × 1.2
Answer:
87.648
Step-by-step explanation:
It may be hard to multiply decimals. However, if you can break the decimal up into two separate equations, it can make it easier. Solving 73.04 x 1.2 is the same as solving (73.04 x 1) + (73.04 x 0.2). You already can say that 73.04 x 1 is 73.04. And then you can solve 73.04 x 0.2. Solving 73.04 x 0.2 is the same as solving 73.04 divided by 5, which will get you 14.608. Finally, all you have to do is add the two sums (73.04 + 14.608) which will get you your answer of 87.648.
Please help me anyone
Answer:
[tex]4p\geq 12[/tex]
Step-by-step explanation:
So, when there were 4 innings left, the score was 17 to 6 and Kim was losing.
Since the score was 17 to 6, in order for her to win, they must've scored at least another 12 points.
This is because we are told that the other team didn't score, so their final score is 17.
And for Kim to win, they must have more points, so their must've scored at least 12 points for their score to be 18.
And we also know that they scored the same per inning for the next four innings.
Thus, in an inequality, this is:
[tex]4p\geq 12[/tex]
The score per inning times 4 innings must be greater than or equal to 12:
Further notes:
To solve, divide both sides by 4:
[tex]p\geq 3[/tex]
In other words, Kim's team must've scored at least 3 points per inning.
Also note that this solution include only integers, since you can't score 3.5 points.
Evaluate f(x) = 5x - 1 given the inputs (-1, 0,1,2)
Answer:
-6, -1, 4, 9
Step-by-step explanation:
You can substitute the values and do the arithmetic:
f(-1) = 5(-1) -1 = -5 -1 = -6
Or, you can recognize that the output values will increase by 5 for each increase of 1 in the input value.
f(0) = -6 +5 = -1
f(1) = -1 +5 = 4
f(2) = 4 +5 = 9
The (input, output) pairs are ...
(-1, -6), (0, -1), (1, 4), (2, 9)
4) A bank is offering 3.5% simple interest on a savings account. If you deposit
$12,000, how much interest will you earn in two years? *
A $420
B $840
C $4,200
O D $8,400
Answer:
B. $840
Step-by-step explanation:
Given that
Rate of simple interest = 3.5%
Principal amount = $12,000
Time = 2 year
To find:
Interest earned = ?
Solution:
Formula for Simple Interest is given as:
[tex]S.I. = \dfrac{PRT}{100}[/tex]
Where P is the principal amount
R is the annual Rate of interest
T is the time for which principal was invested.
Here, we are given that:
P = $12,000
R = 3.5%
T = 2 years
Putting all the values in the formula:
[tex]SI= \dfrac{12000\times 3.5 \times 2}{100}\\\Rightarrow SI= 12\times 35 \times 2\\\Rightarrow SI = \$840[/tex]
So, answer is:
B. $840
What is the volume of the rectangular prism (please help urgent)
Answer:
The answer is 1 1/9 ft
Step-by-step explanation:
Multiply 5/3 x 2/3 x 1
Solve the division problem 15/4/-5/8
Answer: [tex]-6[/tex]
Do Keep Change Flip (KCF)
Keep: [tex]15/4[/tex]
Change: ÷ into ×
Flip: [tex]-5/8[/tex] into [tex]8/-5[/tex]
Multiply
[tex]15/4*8/-5=120/-20[/tex]
Divide
[tex]120/-20=-6[/tex]
Answer: -6
Step-by-step explanation: Factor your numerator and your denominator, then cancel you common factors.
I hope this helps you out! ♥
Solve the equation 55=7-6y
Answer:
55-7=48
48÷-6=-8
y=-8
......
Answer:
-8 = y
Step-by-step explanation:
55=7-6y
Subtract 7 from each side
55-7=7-6y-7
48 = -6y
Divide each side by -6
48/-6 = -6y/-6
-8 = y
A storage pod has a rectangular floor that measures 19 feet by 13 feet and a flat ceiling that is 5 feet above the floor. Find the area of the floor and the volume of the pod.
Answer:
Area= 247 feet²
Volume= 1235 feet³
Step-by-step explanation:
A storage pod has a rectangular floor that measures 19 feet by 13 feet and a flat ceiling that is 5 feet above the floor.
Area of the floor= length*width
Length= 19 feet
Width= 13 feet
Area= 19*13
Area= 247 feet²
Volume of the pod= area*height
Height of the pod= 5 feet
Area= 247 feet²
volume= 247*5
Volume= 1235 feet³
Which of the following statements is true about completing a square? A. When completing the square, subtract the square of half the coefficient of x from both sides of the equation. B. When completing the square, add the square of half the coefficient of x to only the x^2+bx side of the equation. C. When completing the square, add half the coefficient of x to both sides of the equation. D. When completing the square, add the square of half the coefficient of x to both sides of the equation.
Answer:
D
Step-by-step explanation:
So, let's say that we have the following equation:
[tex]x^2+bx=0[/tex]
And we want to complete the square.
What we need to do is to divide the coefficient of x by half. Square that. Then add that number to both sides.
The answer that reflects this is choice D.
For instance if we have:
[tex]x^2+4x=0[/tex]
Divide 4 by 2 and then square it.
4/2 is 2. 2²=4. Add 4 to both sides. Thus:
[tex](x^2+4x)+4=0+4[/tex]
And now, we can complete the square:
[tex](x+2)^2=4[/tex]
I need help please !! Please be correct, and if you can please explain.
Answer:
a and c are undefined.
b and d are zero.
Step-by-step explanation:
Vertical lines are undefined because of division by 0 (a and c).
The run is zero.
Horizontal lines have a slope of 0 (b and d).
The rise is zero.
1. Give two other names for AB
2. Name three points that are collinear.
3. Give another name for plane F.
4. Name a point that is not coplanar with A, B, and C.
5. Give another name for CD
6. Name three rays with endpoint B.
7. Name a pair of opposite rays.
8. Give another name for CD.
Answer:
1) The line AB can be renamed as BA and h
2 ) Points B, D and C are on the same line.
3) ABE is the another name given to the plane F.
4) E is another point which is not coplanar with ABC.
5) Another name for CD is g or DC
6) AB CB DB are rays with end points B
7) BC and BD are opposite rays .
8) CB or g is another name for CD
Step-by-step explanation:
1) The line AB can be renamed as BA and h
2 ) Collinear points are those points which lie on the same line. So points B, D and C are on the same line.
3) Points ABE define the plane F so ABE is the another name given to the plane F.
4) E is another point which is not coplanar with ABC. ( Coplanar points are those points which are situated on the same plane)So from the picture we see that point E lies far away from the plane of ABC.
5) Another name for CD is g or DC
6) AB CB DB are rays with end points B
7) BC and BD are opposite rays . ( A ray is a line which extends indefinitely . In simple words it has no end point. It may pass through certain points. It is represented by an arrow at one end.)
8) CB or g is another name for CD
Type a simplified fraction as an answer. PLEASE ANSWER ASAP!!!!
Answer: 5/6
Step-by-step explanation:
PLEASE HELP ME HELP MY 7TH GRADER! The ratio of picnic tables to garbage cans in a new national park should be 8:3. The park design shows plans for picnic tables in a small campground? There are 40 small picnic tables in the campgrounds and 120 large picnic tables at the camp grounds.
Answer:
small: 40:15 large: 120:45 all: 160:60
Step-by-step explanation:
the way i did this was
40÷8=5 i did this because we now need to multiply 5×3=15 because thats how we get the number of trash cans.
now do the same thing for the other one
120÷8=15 → 15×3=45
an easy way to check ur answers is to divide the ratio that is given to you (8:3 so 8÷3) and see if it gets the same number as ur new ratio (40:15 so 40÷15)
Im in 8th grade and I hoped this helped :)
Find the distance between the two points rounding to the nearest tenth (if necessary).
(-3,-3) and (-6,1)
Answer:
5Step-by-step explanation:
[tex](-3,-3) =(x_1,y_1)\\ (-6,1)=(x_2,y_2)\\\\d = \sqrt{(x_2-x_1)^2 +(y_2-y_1)^2}\\ \\d = \sqrt{(-6-(-3))^2+(1-(-3))^2}\\ \\d = \sqrt{(-6+3)^2+(1+3)^2}\\ \\d = \sqrt{(-3)^2 +(4)^2}\\ \\d = \sqrt{9+16}\\ \\d = \sqrt{25}\\ \\d =5[/tex]
Which expression is equivalent to the one below?
Answer:
D. [tex]5\cdot\frac{1}{2}[/tex]
Step-by-step explanation:
[tex]5\div 2 =\frac{5}{2} \\\\5\times\frac{1}{2}\\\\=\frac{5}{1}\times\frac{1}{2}\\\\=\frac{5}{2} \\[/tex]
elena's retirement part will cost $16 if she invites 8 guests. If there are 10 guest how much will elena retirement party cost?
Answer:
$20
Step-by-step explanation:
Please mark me as brainliest
Answer:
Elena's retirement party will cost $20 if she invites 10 guests.
Step-by-step explanation:
We know this because the problem tells us that the party will cost $16 if she invites 8 guests, which means that every guest costs $2 and if we multiply 2 and 10 we get 20.
How to find the area of a triangle
Answer:
A = 1/2bh
Step-by-step explanation:
The formula for an area of a triangle is always going to be one-half of the base times the height.
Footwear manufacturing is projected to decrease output by 5% from 2009 to 2019. If footwear manufacturing had 1.5 million dollars of output in 2009, approximately how much output is expected in 2019?
Answer:
Output 2019 = 1.425 million dollar
Step-by-step explanation:
Given:
Output 2009 = 1.5 million dollar
Projected decrease output = 5%
Find:
Output 2019
Computation:
Output 2019 = Output 2009[100% - Projected decrease output]
Output 2019 = 1.5 [100% - 5%]
Output 2019 = 1.425 million dollar
Round 34.037 to 3 significant figures.
a. 34.04
b. 34
c. 34.037
d. 34.0
Answer:
My answer to the question is 34.0
i need help on this question ASAP tysm
quantas braças tem 2 tarefas e meia de terra
Answer:
Fathom in reference to what does this line interpret?
What is the value of g if 5(2-g)=0 ? *
Your answer
Answer:
g = 2
Step-by-step explanation:
5(2-g) = 0
10 - 5g = 0
-5g = -10
g = -10/-5
= 2
In how many different, distinguishable orders can the letters of the word "TENNESSEE" be arranged? (A)24 (B)362,880 (C)3,780
Answer:
Choice C. [tex]3,\! 780[/tex].
Step-by-step explanation:
The word "[tex]\verb!TENNESSEE![/tex]" contains nine letters:
Four [tex]\verb!E![/tex]'s, Two [tex]\verb!N![/tex]'s, Two [tex]\verb!S![/tex]'s, andOne [tex]\verb!T![/tex].If all these nine letters are unique, the number of possible arrangements would be:
[tex]P(9, 9) = 9! = 362,\! 880[/tex].
However, because some of these letters were not unique, a large number of that [tex]362,\!880[/tex] arrangements would be duplicates. What would be the exact number of duplicates? Start by considering giving each of the duplicate letters an index number. For example, consider the duplicates due to the letter "[tex]\verb!E![/tex]". There are four [tex]\verb!E![/tex]'s in [tex]\verb!TENNESSEE![/tex]. Label them as [tex]\verb!E!_1[/tex], [tex]\verb!E!_2[/tex], [tex]\verb!E!_3[/tex], and [tex]\verb!E!_4[/tex]:
[tex]\begin{array}{ccccccccc}\verb!T! & \verb!E! & \verb!N! & \verb!N! & \verb!E! & \verb!S! & \verb!S! & \verb!E! & \verb!E! \\ & \uparrow & & & \uparrow & & & \uparrow & \uparrow \\ & \verb!E!_1 & & & \verb!E!_2 & & & \verb!E!_3 & \verb!E!_4\end{array}[/tex].
These four [tex]\verb!E![/tex] can be shuffled and rearranged to give a large number of duplicates:
[tex]\begin{array}{r|ccccccccc}& \verb!T! & \verb!E! & \verb!N! & \verb!N! & \verb!E! & \verb!S! & \verb!S! & \verb!E! & \verb!E! \\ &&\uparrow&&&\uparrow&&&\uparrow &\uparrow\\ 1 & & \verb!E!_1 & & & \verb!E!_2 & & & \verb!E!_3 & \verb!E!_4\\ 2 & & \verb!E!_1 & & & \verb!E!_2 & & & \verb!E!_4 & \verb!E!_3 \\ 3 & & \verb!E!_1 & & & \verb!E!_4 & & & \verb!E!_3 & \verb!E!_2 \\\ \vdots & & \vdots & & & \vdots & & & \vdots&\vdots \\4! = 24&&\verb!E!_4 & & & \verb!E!_3 & & & \verb!E!_2 & \verb!E!_1 \end{array}[/tex].
Each of these duplicate corresponds to a unique way for arranging four unique item in a row. There are [tex]4! = 24[/tex] ways to arrange four unique items in a row. Therefore, for each arrangement that is truly unique, the letter "[tex]\verb!E![/tex]" alone would have caused the arrangement to be counted [tex]4! = 24[/tex] times if the nine letters were assumed to be unique.
At the same time, letters "[tex]\verb!N![/tex]" and "[tex]\verb!S![/tex]" would further exaggerate the count by a factor of [tex]2[/tex] each. On the other hand, the letter [tex]\verb!T![/tex] appeared only once and would not create duplicates.
Overall, if the nine letters were assumed to be unique, each arrangement that is truly unique would have been counted:
[tex]4! \times 2! \times 2! \times 1! = 96\; \text{times}[/tex].
The count based on the incorrect assumption (that the nine letters are all distinct) is [tex]362,\!880[/tex]. Divide that count by the factor of exaggeration ([tex]4! \times 2! \times 2! \times 1! = 96[/tex]) to find the number of arrangements that are truly unique:
[tex]\begin{aligned} & 362,\!880 \times \frac{1}{4! \times 2! \times 2! \times 1!} = 3,\!780\end{aligned}[/tex].
negatives of a social structure
Which expression is equivalent to (3−2^2)+5?
4 is equivalent to the given expression.
It is required to find the equivalent to the given expression.
What is expression?An expression is a set of terms combined using the operations +, – , x or ÷. An expression is a number, a variable, or a combination of numbers and variables and operation symbols. An expression is in simplest form when no terms can be combined.
Given:
The given expression is
(3−2^2)+5
=(3-4)+5
=(-1)+5
=4
Therefore, 4 is equivalent to the given expression.
Learn more about expression here:
brainly.com/question/17290032
#SPJ2
Solve the following System of Equations using Substitution:
x+3y=1
−3x−3y=−15
Answer:
x=7, y=-2 (negative 2)
Step-by-step explanation:
what is the volume of a cone with a height of 27 cm and a radius of 13cm
Answer:
V≈4778.36cm³
Step-by-step explanation:
Answer:
1/3πr^2h.
1/3×3.142×13^2×27.
1/3×14336.946
4778.982cm^3