Answer:
2=414x-4+18
2=414x+14
2-14=414x
-12=414x
-12/414=x
Step-by-step explanation:
What is the volume of the composite figure below? (formula for volume of a prism is 1/3 Bh where B is the area of the base.)
Answer:
Last Option; 84 cu. mm
Step-by-step explanation:
We know that;
Volume = 1/3(Bh)
And that this is figure has a square base, therefore B that represents the area of the base will be: 6 * 6 = 36
And height = 7mm
Therefore we can say;
Volume = (1/3)*(6 x 6)*(7)
Volume = (1/3)*(36)*(7)
Volume = (12)*(7)
Volume = 84
Hope this helps!
Stream ecologists are interested in the number of distinct organisms found in streams and whether or not differences exist based on geography. Separate random samples are obtained from sites in Northeastern and Southeastern streams, and the number of distinct organisms is recorded. They are given as separate stemplots for Northeastern and Southeastern streams.
Northeastern Southeastern
0 0 5 5 7 8
1 5 1 1 2 3 5 9 9
2 0 3 9 2 2 7
3 1 4 7 8 8 3 3
4 4 8 8 4 1
5 5 7 5
Required:
What is the sample size obtained from Southeastern?
Answer:
14
Step-by-step explanation:
Given
See attachment for proper stem plots for both district
Required
The sample size for Southeastern
The stem plot for southeastern is:
[tex]Stem | Leaf[/tex]
[tex]0 | 5\ 5\ 7\ 8[/tex]
[tex]1 | 1\ 2\ 3\ 5\ 9\ 9[/tex]
[tex]2 |2\ 7[/tex]
[tex]3 | 3[/tex]
[tex]4 | 1[/tex]
[tex]5 |[/tex]
To get the sample size, we simply count the leaves
The leaves are:
[tex]Leaves = \{5, 5, 7, 8, 1, 2, 3, 5, 9 ,9,2,7,3,1\}[/tex]
The number of leaves is:
[tex]n(Leaves) = 14[/tex]
Hence, the sample size is 14
(8422
A)
B
B)
9
D)
816
8
Answer:
8422
Step-by-step explanation:
What expressions are equivalent to 2.097 help
Answer:
ur question is not complete.
Which correctly describes a cross section of the square pyramid? Select three options. A square pyramid with 2 foot sides. A cross section parallel to the base is a square with side lengths of 2 ft. A cross section parallel to the base is a square with side lengths of less than 2 ft. A cross section perpendicular to the base through the top vertex is a triangle with the same dimensions as the triangular sides of the pyramid. A cross section perpendicular to the base through the top vertex is a triangle with different dimensions than the triangular sides of the pyramid. A cross section that is perpendicular to the base that does not pass through the top vertex of the pyramid is a trapezoid.
Answer:
A cross section parallel to the base is a square with side lengths of less than 2 ft.
A cross section perpendicular to the base through the top vertex is a triangle with different dimensions than the triangular sides of the pyramid.
A cross section that is perpendicular to the base that does not pass through the top vertex of the pyramid is a trapezoid.
B D E
Step-by-step explanation:
Answer:
BDE
Step-by-step explanation:
I GOT IT RIGHT
Increase £15837.77 by 18.5%
Give your answer rounded to 2 DP.
Answer: 18767.76
Step-by-step explanation:
HILL BOOMERANG I BEG OF YOU GUYS PLEASE HELP IF YOU KNOW AND UNDERSTAND IT
Answer:
5. 2√6
6. 4
Step-by-step explanation:
5. x =√[3×(3+5] = √3×8 =√24=2√6
6. x(x+5)=6²
x²+5x=36
x²+5x-36=0
(x+9)(x-4) =0
x=-9 or x=4
The square of p varies inversely as q. When Q=6 p=4
What is the value of q when
P = 12
A. 2/3
B. 3/2
C. 2
D. 18
Answer:
A
Step-by-step explanation:
Given p² varies inversely as q then the equation relating them is
p² = [tex]\frac{k}{q}[/tex] ← k is the constant of variation
To find use the condition when q = 6, p = 4 , then
4² = [tex]\frac{k}{6}[/tex]
16 = [tex]\frac{k}{6}[/tex] ( multiply both sides by 6 )
96 = k
p² = [tex]\frac{96}{q}[/tex] ← equation of variation
When p = 12 , then
12² = [tex]\frac{96}{q}[/tex] ( multiply both sides by q )
144q = 96 ( divide both sides by 144 )
q = [tex]\frac{96}{144}[/tex] = [tex]\frac{2}{3}[/tex] → A
Ulyssa draws a rectangle
that is 2/3 of a meter
long and 3/5 of a meter
wide. What is the area
of this rectangle?
Answer:
15m
Step-by-step explanation:
Find the arc length of the partial circle.
Either enter an exact answer in terms of pi or use 3.14 for pi and enter your answer as a decimal.
A system of two linear equations is graphed on a coordinate plane. If the system of equations has infinitely many solutions, which statement must be true?
A
The lines are parallel.
B
The lines intersect in one point.
C
The lines are the same.
D
None of the above
Answer:
c
Step-by-step explanation:
Infinite solutions. A system of linear equations has infinite solutions when the graphs are the exact same line.
So C would be the most accurate statement
please give brainiest
Solve the right triangle below. Round sides to the nearest thousandth and angles to the nearest degree.
Answer:
Option 4, BC = 12.689, m∠A = 58°, and m∠C = 32°
Hope this helps!
Determine the angles θ where sin(θ)=12
A)30o and 120o
B)60o and 120o
C)30o and 150o
D)60o and 150o
Use slope or the distance formula to determine the most precise name for the figure:
A(-4,-1), B(-2,4), C(4, 5), D(2,0).
Answer:
parallelogram
Step-by-step explanation:
opposite sides are parallel and equal
Answers
A. The x-coordinate is less than the y-coordinate
B. The x-coordinate has a greater magnitude than the y-coordinate
C. The x-coordinate is negative and the y-coordinate is positive
D. The x-coordinate has a greater absolute value than the y-coordinate
Help Please!
Answer:
c
Step-by-step explanation:
because the coordinate of x is negative
A surveyor has a survey a triangular plot of land. One side of the plot lies along countryside road. This side is 400 ft long. The second side is the gore road, which intersects countryside road at an angle of 88 degrees. The third side of this plot of land is 550 ft long. Determine the distance of the gore road that makes up in the unknown side of plot to the nearest foot
9514 1404 393
Answer:
392 ft
Step-by-step explanation:
As in the attached figure, you seem to have sides b and c of the triangle, along with angle C. You want to find side 'a'. The law of sines can be used to find angle B, then angle A can be found from the sum of angles. Knowing angle A, we can find side 'a'.
sin(B)/b = sin(C)/c
sin(B) = (b/c)sin(C) = 400/550·sin(88°)
B = arcsin(8/11·sin(88°)) ≈ 46.621°
Then angle A = ...
A = 180° - B - C = 180° -46.621° -88° = 45.379°
Now, we can find side 'a' from ...
a/sin(A) = c/sin(C)
a = c·sin(A)/sin(C) ≈ 550·sin(45.379°)/sin(88°) ≈ 391.710 . . . feet
The unknown side of the triangle is about 392 feet.
Why is it important for a company to create an income statement?
Select all the ordered pairs that are solutions of the equation.
A. (-7, 1)
B. (-1,7)
C. (0,5)
D. (2,3)
E. (3, 2)
F. (5,0)
Answer:
B. (-1,7)
C. (0,5)
D. (2,3)
Step-by-step explanation:
We solve this question looking at the graphic.
A. (-7, 1)
When [tex]x = -7, y \rightarrow \infty[/tex], and thus (7,-1) is not solution of the equation.
B. (-1,7)
When [tex]x = -1, y = 7[/tex], and thus (-1,7) is a solution of the equation.
C. (0,5)
When [tex]x = 0, y = 5[/tex], and thus (0,5) is a solution of the equation.
D. (2,3)
When [tex]x = 2, y = 3[/tex], and thus (2,3) is a solution of the equation.
E. (3, 2)
When [tex]x = 3, y \neq 2[/tex], and thus (3,2) is not part of the solution
F. (5,0)
When [tex]x = 5, y \neq 0[/tex], and thus (5,0) is not part of the solution
Does this graph represent a function? Why or why not?
A. No, because it fails the vertical line test
B. No, because it is not a straight line
C. Yes, because it is a curved line
D. Yes, because it passes the vertical line test
Answer:
D. Yes, because it passes the vertical line test
Step-by-step explanation:
which fractions are equivalent to 4/8? choose all correct answers (1/5) (2/6) (1/4) (1/2) (2/4)
Answer:
1/2, 2/4
Step-by-step explanation:
4/8 = (2/4) =1/2 (if you divide up and down by the same number)
so 4/8 = 1/2
next, let's simplify the choices we have: (1/5) (2/6) (1/4) (1/2) (2/4)
1/5 is already simplified
2/6 = 1/3
1/4 is already simplified
1/2 is already simplified
2/4 = 1/2
Which of these is equal to 4/8 (aka 1/2)?
Answer: 1/2 and 2/4
What is the following product?
factorize the following (x+3)²(2x-3)
Answer:
Step-by-step explanation:
it is already in factors.
Find the perimeter of EFGH
Step-by-step explanation:
Perimeter of EFGH=2.5+1.5+4+2
=10
=
Dan is helping to build a stage for a concert.
4 m
3 m
3 m
3.5 m
12 m
He needs to order some non-slip flooring for the stage.
Calculate the area of the stage.
Answer: 37m
Step-by-step explanation:
Convert 300cm into m = 3m
6 + 6 + 3 + 3 + 3.5 + 3.5 + 12 = 37m
Which set of numbers does NOT represent the lengths of the sides of a triangle? (6, 18, 23) (6, 22, 17) (16, 24, 7) (22, 8, 15
Answer:
(16, 24, 7)
Step-by-step explanation:
The Triangle Inequality states that the sum of lengths of any two sides should be greater than the length of the third side.
But 16 + 7 = 23 is not greater than 24.
Question 1 (1 point)
John started with $1,000 in an investment account. Each year the money in the account doubled. If there is currently $16,000 in the
investment account, how many years have passed since the account was opened?
years
Answer:
4 yrs have passed since the account was opened
1. You borrow $500 from a bank with a 5% annual interest and
the maturity date is in 3 years
a. How much would you pay in interest at the end of the
loan if you pay simple interest
b. How much would you pay in interest at the end of the
loan if you pay in compound interest
Answer:
Step-by-step explanation:
Discussing interest starts with the principal, or amount your account starts with. This could be a starting investment, or the starting amount of a loan. Interest, in its most simple form, is calculated as a percent of the principal. For example, if you borrowed $100 from a friend and agree to repay it with 5% interest, then the amount of interest you would pay would just be 5% of 100: $100(0.05) = $5. The total amount you would repay would be $105, the original principal plus the interest.
Lorena's backpack has a mass of 15,000 grams.
What is the mass of Lorena's backpack in kilograms?
Lorena's backpack weighs
kilograms.
Answer:
1 kg = 1000 grams
15,000 grams = 15kg
I need the answer fast pls
Answer:
530!
Step-by-step explanation:
subtract the biggest value and the lowest value
Answer:
530
Step-by-step explanation:
Order the numbers from least to greatest, get the biggest and the lowest number and subtract both and then you find the range.
340,400,400,870
870-340= 530
No links, provide explanation.
Answer:
C: 18
Step-by-step explanation: