Answer:
B is the right answer
Step-by-step explanation:
Subtract 14 from each side to get the value of m
21 - 14 = 7 = m
m = 7
the question is below
Answer:
£59.25
Step-by-step explanation:
Hello!
To solve this problem, we must:
Solve for the length of the fence (aka height)Find the area of the lawn (trapezoid)Find the number of cans neededFind the price of all the cansArea of a trapezoid, and why the formula works:
A trapezoid is a quadrilateral with one set of parallel sides known as bases. The other two sides are known as the legs.
To find the area of a trapezoid, we use the formula:
[tex]\frac{B_1 + B_2}{2}* h[/tex]
This works because if we used the formula, we would be duplicating the trapezoid to form a rectangle with a side length of B1 + B2, and a height of h. Since the trapezoid is half of that, we divide by 2.
Solve for height:
The height is unknown but can be found using the Pythagorean Theorem.
The difference between the bases is the length of the bottom leg of the right triangle, and 17 is the hypotenuse.
Difference = 20 - 12 = 8
Hypotenuse = 17
8² + fence² = 17²64 + fence² = 289225 = fence²fence = 15The height is 15
Solve for area:
Now we can solve for the area.
[tex]A = \frac{B_1 + B_2}{2} * h[/tex][tex]A = \frac{12 + 20}{2} * 15[/tex][tex]A = \frac{32}{2} * 15[/tex][tex]A = 16 * 15 = 240[/tex]The area is 240
Cans:
The area of the lawn is 240 square meters. Each can cover 100 square meters.
240 ÷ 100 = 2.4Since we can't use part of a can, we round up to three whole cans.
The price of 3 cans :
3 * 19.7559.25£59.25
The Pythagorean Theorem:
The Pythagorean theorem is a very common geometry formula used to find the length of the hypotenuse in a right triangle, given the lengths of the two other bases.
The formula is : [tex]a^2 + b^2 = c^2[/tex]
a is a legb is a legc is the hypotenuseImages attached for your reference
Which reason best explains why m^10n^3 is NOT equal to (mn)^13?
Answer:This law of exponents can only be used when the bases are equal.
Step-by-step. explanation:
5b-4a+6, when a= 7 and b= 6
Answer:
Use Substitution Method -
5(6)-4(7)+6=30-28+6
=2+6
=8
Shares of company A are sold at $10 per share. Shares of company B are sold at $50 per share. According to a market analyst, 1 share of each company can either gain $1, with probability 0.5, or lose $1, with probability 0.5, independently of the other company. Which of the following portfolios has the lowest risk? a. 100 Shares of A
b. 50 shares of A + 10 shares of B
c. 40 shares of A + 12 shares of B
Answer:
b.
Step-by-step explanation: its 50 shares the to straiges you should use is multiplying or adding i used both bt its b.
A business analyst has determined that the selling price per unit for a laser printer is $1600. The cost to make one laser printer is $950, and the fixed cost is $211,250. Find the break-even point.
please show the work thank you
Answer:
Solve the following equation
Step-by-step explanation:
You need to make an equation of this
Let x be the number of computers made
1600 × x = (950 × x) + 211250
When both sides are equal, that is the break even
an office manager purchased 39 boxes of pens for the staff. each box contains 6 black pens and 4 blacks pens. Use the distribute property to write an equivalent expression for the total number of pens. them, simplify the expression
Answer:
390 pens in total
Step-by-step explanation:
Each box has 6 black and 4 black
so the total amount of pens per box should be 10 because 6+4=10
Since we have to use distributive property you can write the equation (6+4)*39 because you need to figure out the total amount of pens in all the boxes.
6+4 is 10
and 10 * 39 is 390
therefore the answer is 390 pens in total
The table below shows a proportional relationship. True or False?
True
False
Answer:
False
Step-by-step explanation:
2/10 is not equal to 4/16.
Please help me. I really need help. and I'm not smart
A researcher weighed watermelons grown across a certain region. The data are rounded to the nearest pound and displayed in this histogram.
What does the fourth bin represent?
Select from the drop-down menu to correctly complete the statement.
Four watermelons weigh:
at least 12 pounds but less than 16 pounds
at least 12 pounds but no more than 16 pounds
more than 12 pounds but less than 16 pounds
.
more than 12 pounds but no more than 16 pounds
.
In the given histogram, the correct option regarding the representation of the fourth bin is:
at least 12 pounds but less than 16 pounds.
What is an histogram?An histogram is a graph that shows the number of times each element of x was observed. The lower bound is inclusive, while the upper bound is exclusive.
Hence, considering the inclusiveness and exclusiveness of the bounds, the correct option regarding the fourth bin, given by [12, 16) is:
at least 12 pounds but less than 16 pounds.
More can be learned about histograms at https://brainly.com/question/25836450
Answer:
The answer is "at least 12 pounds but less than 16 pounds"
Explanation:
I took the quiz! Hope this helps! :)
What is the area of this shape?
Answer:
Area is 80[tex]m^{2}[/tex]
Step-by-step explanation:
Since the shape is a triangle, then the formula for area is: a = bh/2
Given values:
b = 20m
h = 8m
Substitute the given values into the equation
a = 20 x 8 / 2
a = 160/2
a = 80 meters squared
hope this helps and is right!! p.s. i really need brainliest :)
Which best describes what happens when you compose two functions?
O A. You use the input of the first function as the input of the second
function.
O B. You use the output of the first function as the input of the second
function.
O C. You use the output of the first function as the output of the
second function.
O D. You use the input of the first function as the output of the second
function.
Answer:
B. You use the output of the first function as the input of the second
function
Step-by-step explanation:
example
if f is x+2 and g is x+3 then
when you compose two functions
you put g in f where the x is
(x+3) + 2
so
f(g(x)) = (x+3) + 2 =
x + 5
formula is
(f ∘ g)(x) = f(g(x))
https://brainly.com/question/12573413
onlinemathlearingcomcompositefunctionshtml
Since the inverse of a trigonometric function asks to name the angle given its value, are either or both of these correct? Give a reason for your answer. Tell why both are correct, or tell why both are incorrect, or tell why only 1 or the other is correct.
Sin¯¹ (1/2) = 30°
and Sin¯¹ (1/2) = 150°
Answer:
Statement 1 is correct.
Step-by-step explanation:
Inverse sign is only defined from -90° to 90° therefore statement 2 is false.
how many quarters are in 20 dollars?
Hey there!
4 quarters = 1 dollar
To find how many quarters are in 20 dollars, we multiply 4 by 20
⇒ 4 × 20
⇒ 80
Therefore, 80 quarters are in 20 dollars
Joshua deposits $310 every month into an account earning an annual interest rate of 7.8% compounded monthly. How much would he have in the account after 6 years, to the nearest dollar? Use the following formula to determine your answer.
what is 6(8x+1) equil to ?
Hello!
Let's use the Distributive Property & simplify:
6(8x+1)
distribute 6 by multiplying it times 8x and 1:
48x+6
Hope everything is clear.
Let me know if you have any questions!
#KeepLearning
:-)
Answer:
[tex]\displaystyle 6 + 48x[/tex]
Step-by-step explanation:
[tex]\displaystyle 6[8x + 1] \hookrightarrow \boxed{48x + 6}[/tex]
I am joyous to assist you at any time.
There are 6 people on the ballot for regional judges. Voters can vote for any 4. Voters can
choose to vote for 0, 1, 2, 3, or 4 judges. In how many different ways can a person vote?
A. 57
B. 5
C. 15
D. 6
Answer:
The answer is five.
Step-by-step explanation:
A person has only 5 options., as stated in the question.
0
1
2
3
4
That means that one person can vote 5 different ways.
The local women's club baked 196 pies. One pie dropped onto the floor and
was thrown away. If they give equal amounts of the remaining pies to each
of two schools, how many whole pies would each school receive?
100 pies
96 pies
97 pies
98 pies
Answer:
97
Step-by-step explanation:
196 ÷ 2 = 97.5
you cannot include the .5, so each school gets 97 pies
A jewelry case has a base area of 37.5 sq cm and a height of 1.5 cm ..what is the volume of 6 of these cases
Answer:
As Per Provided Information
A jewellry case has a base area of 37.5 sq cm and a height of 1.5 cm .
Total Number of these cases are 6 .
We have been asked to determine the volume of these cases .
[tex]\bf\: Volume_{(Jewellery \: Cases)} = Base \: Area \: \times height \times Total \: number \: of \: Jewellery \:Cases[/tex]
Let's substitute the given value and we obtain
[tex]\sf\longrightarrow\:Volume_{(Jewellery \: Cases)} = 37.5 \times 1.5 \times 6 \\ \\ \\ \sf\longrightarrow\:Volume_{(Jewellery \: Cases)} = \: 56.25 \times 6 \\ \\ \\ \sf\longrightarrow\:Volume_{(Jewellery \: Cases)} = \: 337.5 \: {cm}^{3} [/tex]
Therefore,
Volume of 6 jewellery cases are 337.5 cm³Step-by-step explanation:
Given:-
Base area :- 37.5 sq. cmHeight:- 1.5 cmTo Find:-
Volume of such 6 jwellery caseSolution:-
Volume of 1 box :- base area × height
37.5 cm² × 1.5 cm
56.25 cm³
So , volume of 6 such cases :- 56.25 × 6
= 337.5 cm³
What numbers could replace each letter to make both of the number sentences true?
Answer:
N = 9 & P = 4
Step-by-step explanation:
N* N = 81
N * N = 9*9
N = 9
N * P = 36
Substitute N = 9,
9* p = 36
P = 36 ÷ 9
P = 4
carlos made a list of the scores he obtained on 10 test. 43, 72, 75, 86, 91, 91, 91, 95. The teacher will remove the lowest score from the list. which statical measure will increase if the lowest scored is removed?
Answer:
mean
Step-by-step explanation:
The mean will decrease, in an option of mean, mode, median and range:)
Solve for b.
-3b + 2.5 = 4
Answer: b = -0.5
Step-by-step explanation:
Given
-3b + 2.5 = 4
Subtract 2.5 on both sides
-3b + 2.5 - 2.5 = 4 - 2.5
-3b = 1.5
Divide -3 on both sides
-3b / -3 = 1.5 / -3
[tex]\boxed{b=-0.5}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Answer:
[tex]\Longrightarrow: \boxed{\sf{b=-0.5}}[/tex]
Step-by-step explanation:
To solve this problem, all you have to do is isolate the term of b from one side of the equation.
-3b+2.5=4First, you have to subtract by 2.5 from both sides.
→ -3b+2.5-2.5=4-2.5
Solve.
Add or subtract the numbers from left to right.
→ -3b=1.5
Then, you divide by -3 from both sides.
→ -3b/-3=1.5/-3
Solve.
Divide the numbers from left to right.
→ 1.5/-3=-0.5
b=-0.5
Therefore, the correct answer is b=-0.5.I hope this helps! Let me know if you have any questions.
Joan has made four mistakes in her diagram. write down any three of them.
Answer:
dude
Step-by-step explanation:
how are you supposed to know but you are smart hopefully you will answer
find the average rate of change of over the interval (0,9 ]
Answer:
3. 10/9
4. 34
Step-by-step explanation:
The average rate of change of f(x) over the interval a ≤ x ≤ b is:
[tex]\sf \dfrac{f(b)-f(a)}{b-a}[/tex]
Problem 3
Given interval: 0 ≤ x ≤ 9
From inspection of the graph:
f(0) = -7f(9) = 3[tex]\sf average \ rate \ of \ change=\dfrac{f(9)-f(0)}{9-0}=\dfrac{3-(-7)}{9}=\dfrac{10}{9}[/tex]
Problem 4
Given:
function f(x) = x³ - 9xinterval: 1 ≤ x ≤ 6⇒ f(1) = (1)³ - 9(1) = -8
⇒ f(6) = (6)³ - 9(6) = 162
[tex]\sf average \ rate \ of \ change=\dfrac{f(6)-f(1)}{6-1}=\dfrac{162-(-8)}{5}=34[/tex]
A total of 30000 tickets were sold for a concert of this amont 1/4 were sold for $1500 each 1/3 at $ 1000 each and the rest at $750 each .how many were sold at $750
Answer:
12,600
Step-by-step explanation:
1/3 = 4/12
1/4 = 3/12
Together they equal 7/12
The different is 5/12
5/12 = .416666 =.42
.42 x 30,000 = 12,600
What is the sum of the following equation?
three tenths plus thirty nine hundredths equals blank
Answer:
Step-by-step explanation:
Writing out the word question in numbers: three tenths plus thirty nine hundredths equals blank -
3/10 + 39/100 = ?
= 30/100 + 39/100
= 69/100
or 0.69 or sixty nine hundredths.
First convert words to no
three tenths=3/10thirty nine hundreds=39/100find sum
3/10+39/10030+39/10069/1000.69Simplify.
1/3 ≠ 18n^2 * 2n
Answer:
n³ ≠ 108
Step-by-step explanation:
1/3 ≠ 18n² * 2n
1/3 ≠ 18 * n² * 2 * n
1/3 ≠ 18 * 2 * n² * n
1/3 ≠ 36n³
Cross multiply,
1 * n³ ≠ 3 * 36
n³ ≠ 108
Hence simplified.
Find the multiplicative inverse of 6/8
It's 8/6
Because 6/8 × 8/6 = 1
Answer:
it's 8/6
I hope it's help u
NOW I NEED HELP NOW PLSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS
Mya is redecorating her bedroom. The room is in the shape of right rectangular prism.
The dimensions of the room are: 12 feet in length by 14 feet in width by 8 feet in height.
She plans to cover the floor with tile. The cost of the tile is $4 per square foot.
She plans to cover the walls and the ceiling with paint. Each container of paint costs $16 and can cover 146 ft².
What is the total cost of the tile flooring and paint needed for this room?
Drag and drop the responses to correctly complete these sentences.
The total square feet of flooring needed is ____ and the flooring cost will be ____
The total square feet that will need to be painted is ____ and the paint cost will be ____
The total cost of the tile flooring and paint needed for this room is ____
Answer: took the test and the answers are at the bottom. cheers mate :)
Step-by-step explanation:
Question Help
8.6.PS-13
A circular plate has circumference 28.3 inches. What is the area of this plate? Use 3.14 for it.
The area of this plate is about square inches.
(Round the final answer to the nearest whole number as needed. Round all intermediate values to the nearest
thousandth as needed.)
Answer:
Step-by-step explanation:
Area = 63.9 inches²
Quite urgent lol but should probably be quick I guess :(
Answer:
(a) [tex]y=x^2-2x-8[/tex]
(b) [tex]y= -\dfrac12x^2+4x-6[/tex]
Step-by-step explanation:
(a) From inspection of the graph, the x-intercepts (where [tex]y = 0[/tex]) are at
[tex]x = -2[/tex] and [tex]x =4[/tex].
Therefore [tex]y = a(x + 2)(x - 4)[/tex] where [tex]a[/tex] is some constant
The y-intercept is at (0, -8)
Expanding the equation:
[tex]y = a(x + 2)(x - 4)[/tex]
[tex]\implies y = a(x^2-4x+2x-8)[/tex]
[tex]\implies y= ax^2-2ax-8a[/tex]
Therefore, -8a is the y-intercept
Comparing y-intercepts: -8 = -8a ⇒ a = 1
Substituting a = 1, the final equation in standard form is:
[tex]y=x^2-2x-8[/tex]
--------------------------------------------------------------------------------------------------
(b) From inspection of the graph, the x-intercepts (where [tex]y = 0[/tex]) are at
[tex]x = 2[/tex] and [tex]x =6[/tex].
Therefore [tex]y = a(x -2)(x - 6)[/tex] where [tex]a[/tex] is some constant
The y-intercept is at (0, -6)
Expanding the equation:
[tex]y = a(x -2)(x - 6)[/tex]
[tex]\implies y = a(x^2-6x-2x+12)[/tex]
[tex]\implies y= ax^2-8ax+12a[/tex]
Therefore, 12a is the y-intercept
Comparing y-intercepts:
[tex]-6 = 12a \implies a = -\dfrac12[/tex]
Substituting found value of a into the equation:
[tex]\implies y= (-\dfrac12)x^2-8(-\dfrac12)x+12(-\dfrac12)[/tex]
[tex]\implies y= -\dfrac12x^2+4x-6[/tex]
y = a(x-h)²+k where (h,k) denotes the vertex
Q.1)
vertex: (1, -9) where h=1, k = -9
coordinates: (0, -8) where x = 0, y = -8
find for a:
y = a(x-h)²+k
-8 = a(0-1)²-9
-8 = a -9
a = 1
============
equation: y = (x-1)²-9
Q.2)
vertex: (4, 2) where h=4, k = 2
coordinates: (2, 0) where x = 2, y = 0
find for a:
y = a(x-h)²+k
0 = a(2-4)²+2
-2 = 4(a)
a = -1/2
============
equation: y = -1/2(x-4)²+2
Olivia borrowed $5,000 for 5 years at 5% simple interest.
Answer:
The answer is $1250
Step-by-step explanation:
Solution,
Principle (P) = $ 5,000
Time (T) = 5 years
Rate(R) = 5 %
Simple Interest (I) = ?
Now,
We have,
Simple Interest (I) = P×T×R/ 100
= 5,000×5×5/100
= $1250