Answer:
Step-by-step explanation:
You can find the area by cutting it across in the middle into a trapezoid and a rectangle.
The trapezoid will have:
height = 10-4 = 6ft
top = 9-6 = 3ft
bottom = 8ft
So its area = 1/2*(3+8)*6 = 33 ft^2
The rectangle will have:
length = 10ft
width = 6ft
So its area = 10*6 = 60 ft^2
Total area = 60+33 = 93 ft^2
Answer:
93 ft^2.
Step-by-step explanation:
Divide the figure into 3 shapes; a triangle (top), and two rectangles (one in the middle and one on the bottom).
First find the area of the rectangle;
10*6 = 60 save that for later;
The dimensions of the second rectangle are not given but you can solve for them.
The width of the base of the second rectangle will be 10ft. - 4 ft. , this is because the base of the first rectangle is part of the base of the second rectangle with a length of 4 ft cut off.
The height of the second rectangle is given by 9ft. - 6ft.
Multiply the width (base) and height;
6*3=18
The base of the triangle is the same as the second rectangle's. Use that for the base. The height is given by 8-(the height of the second rectangle). The height is 5 and the base is 6.
1/2(5*6) = 15
Add all of the values together;
15+18+60 = 93 ft^2
At the beginning of the week, a puppy weighed 514 pounds. During the week, the puppy gains 8 ounces.
How much does the puppy weigh, in pounds, at the end of the week?
Enter your answer as a mixed number in simplest form by filling in the boxes
♣ explanation ♣
---------------------------------------------------------------------------------------------------------------
Add 8 ounces onto 5 to get 13, and then, add the unit fraction 1/4 onto it and you get 13 1/4 as your non-simplified mixed number answer.
---------------------------------------------------------------------------------------------------------------
But wait! The answer must be simplified into the mixed number, "5 3/4" by dividing the current answer by 8 1/2, or any other number that involves similarities to the fractions' characteristics.
simplify 5^-2
please help me! i don't know how to do it and its due today
0.04
jndjnwjnc jwnfjnjwfjn jn jnwjnj njnfjbfwhijfkwb jnj nwjnjfjwkf n
Match each verbal description to its equivalent function rule as applied to the given function below. 3a – 7 = 6 - 9 = -3.1 14 (1) و = 3x - 7 = 121 – 19 = 60 - 2 = -31 28 The function fstretched vertically by a factor of 4 and translated up by 9 units The function ftranslated 6 units up and 2 units right The function freflected about the y-axis and translated 7 units left The function f stretched vertically by a factor of 2 and translated up by 5 units
Answer:f(x) = 3x - 7
6 up; 2 right = 3(x-2) - 7 + 6
= 3x - 6 - 7 + 6
= 3x - 7
reflected about y-axis; 7 left = -3(x+7) -7
= -3x - 21 - 7
= -3x - 28
up 5 ; 2 vert stretch = (2)(3x - 7) + 5
= 6x - 14 + 5
= 6x - 9
up 9 ; 4 vert stretch = (4)(3x - 7) + 9
= 12x - 28 + 9
= 12x - 19
Step-by-step explanation:
The transformation of a function may involve any change. The function f(x) stretched vertically by a factor of 2 and translated up by 5 units is (6x - 9).
How does the transformation of a function happen?The transformation of a function may involve any change.
Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs) etc.
If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:
Horizontal shift (also called phase shift):
Left shift by c units, y=f(x+c) (same output, but c units earlier)Right shift by c units, y=f(x-c)(same output, but c units late)Vertical shift:
Up by d units: y = f(x) + dDown by d units: y = f(x) - dStretching:
Vertical stretch by a factor k: y = k × f(x)Horizontal stretch by a factor k: y = f(x/k)Given the function f(x)=3x-7, which can be transformed as shown below.
1. The function f(x) stretched vertically by a factor of 4 and translated up by 9 units.
Vertical stretch → 4(3x - 7) = 12x - 28
Up by 9 Units → (12x - 28) + 9
g(x) = 12x - 19
2. The function f(x) translated 6 units up and 2 units right
Up by 6 units → (3x - 7) +6 = 3x - 1
2 units Right → 3(x-2) - 1 = 3x - 6 - 1 = 3x - 7
g(x) = 3x - 7
3. The function f(x) reflected about the y-axis and translated 7 units left
Reflected about the y-axis → -3x - 7
7 units left → -3(x+7) - 7 = -3x - 21 -7 = -3x-28
g(x) = -3x-28
4. The function f(x) stretched vertically by a factor of 2 and translated up by 5 units
Stretched vertically by a factor of 2 → 2(3x - 7) = 6x - 14
Translated up by 5 units → 6x - 14 + 5 = 6x - 9
g(x) = 6x - 9
Learn more about Transforming functions here:
https://brainly.com/question/17006186
#SPJ5
5 cm
What is the surface area of the cube?
A. 25 cm?
B. 70 cm
C.125 cm?
D. 150 cm?
E. 200 cm
Answer:
Step-by-step explanation:
Answer:
D. 150 cm²
[tex]area = 5 \times 5 \\ = 25 \: {cm}^{2} [/tex]
= 25 × 6 sides
= 150 cm²
[tex]245 \div 7[/tex]
Answer:
35
Step-by-step explanation:
[tex]245[/tex] ÷ [tex]7[/tex] :-
[tex]245[/tex] ÷ [tex]7 = 35[/tex]
if you multiply a certain number by 4 and then by 25 what is the number? (i know the answer but how do i write it in an algebraic equation?)
Answer:
the algebraic equation would be
4n x 25
Determine the volume of a cube with a side length of 3 2/3 cm.
Answer:
The volume would be 27
Hope this helps!
Brainliest??
Changing a single verb can change the story the sentence creates.
a.true
b.false
Answer:
yeah its totally true, it happened from me to
answer
the answer is true
In circle S with \text{m} \angle RUT= 30m∠RUT=30, find the \text{m} \angle RSTm∠RST.
Answer:
m∠RST= m RT= 60°
⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒
m RT=2 m∠ROT= 2 (30)=60°✎--------------
hope it helps...
have a great day!!
Answer quickly!!!!!!!!!!
Answer:
-4/5
Step-by-step explanation:
Rise over run helps, since the line is negative the slop will be to. Just pick a spot that is whole/on the dot, and rise/fall as down or up until the next spot that's whole, then you 'run' over to the point. (Ex. (0,0) (5,4))
Select the correct answer.
Which equation matches the function shown in the graph?
The equation matches the function shown in the graph is y= cos (1/4 x ).
The correct option is B.
What is Function?A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable).
There are three components that make up a function: a set of inputs, a set of outputs, and a rule that links the elements of the input set to the elements of the output set so that each input is paired with exactly one output.
We have a graph for which we have to find the equation.
Here, the graph is ending at π/2 and x= 1.57 then the value of
x = 2π
x = 6.28
So, the value 1.57 and 6.28 need to be compare.
For that we have to multiply x by 4 then the function will be
y = cos (1/4 x ).
Learn more about Function here:
https://brainly.com/question/11065834
#SPJ7
please help . please and thanks
Answer:
3rd option
Step-by-step explanation:
Given the x- intercepts are x = - 3 and x = 5then the corresponding factors are
(x - (- 3)) and (x - 5) , that is (x + 3) and (x - 5) , then
f(x) = a(x + 3)(x - 5) ← a is a multiplier
To find a substitute (1, 8) into the equation
8 = a(1 + 3)(1 - 5) = a(4)(- 4) = - 16a ( divide both sides by - 16 )
- 0.5 = a
f(x) = - 0.5(x + 3)(x - 5)
A gardener has a rectangle garden with an area of 374 yd.²The length of the garden is 17 yards the gardener wants to enlarge the garden by doubling only the width of the current garden how much fencing will the gardener need to enclose a new garden?
Answer:
105 yards
Step-by-step explanation:
The other side is Width = 374/17 = 22.
So, the new width is 44 ( and the length is 17/2).
Perimeter = 2(17/2) + 2(44) = 17+88=105 yds.
So, 105 yards.
Mark me as Brainliest if this is correct! I really appreciate it! :D
The perimeter of the new garden is 105 yards
The area of a rectangle is expressed as:
A = lww = A/l
w = 374/17
w = 22 yards
The perimeter of the new garden if the width is doubled is expressed as:
P = 2(l + w)
P = 2(17/2 + 2(22))
P = 17 + 88
P = 105 yards
Hence the perimeter of the new garden is 105 yards
Learn more on perimeter of rectangle here: https://brainly.com/question/19819849
There are 100 students surveyed. 32 are taking Calcus, 45 are talking Spanish, 18 are taking both Calcus and Spanish. If a student is picked at random, what is the probability that the student is taking Calculus or Spanish. A)77%. B)45% C)95%. D)59%
Answer:
C. 95%
Step-by-step explanation:
Because you have to add all percents
Plz mark brainliest
Please help
LOLZ PLEADE BE WUICCKK
Answer:
answer is 30π cm
Step-by-step explanation:
use formula=2πr
=2*π*r
=2*π*15
=30π
Answer:
30[tex]\pi[/tex]
Step-by-step explanation:
So there is one thing we need to remember to solve thi:
circumfernce = 2[tex]\pi[/tex]r.
We know r(radius) is 15.
Lets plug that in:
2[tex]\pi[/tex]15
Multiply the 2 and 15 together:
30[tex]\pi[/tex]
So, depending on your math teacher, or math question, you might be required to write this in a different form.
So in your case, it seems the answers are written in terms of [tex]\pi[/tex], however sometimes you need to multiply your number by
30[tex]\pi[/tex]
Or
94.248
Looking at your answers, it seems 30[tex]\pi[/tex] is the third answer down.
Hope this helps! :D
In the diagram, three currents x, y and z are flowing in a circuit. The current y is 1 amp less than twice the current x. The current z is 2 ampere more than the current y. The total current x, y and z is 15 amperes. How many amperes is current x?
Answer:
3 A
Step-by-step explanation:
Current X = x
current Y = 2x -1
current Z = y + 2 = 2x - 1 + 2 = 2x + 1
Here, x + y + z = 15
x + 2 x - 1 + 2 x + 1 = 15
5 x = 15
x = 3 A
So, the current in x is 3 A.
Which one is the correct answer
Answer:
ans is 3x2 ln x is a option correct
(( THIS GIVES 50 POINTS )) PLEASE HELP ASAP
A car company’s profit can be modeled by the equation P = –2x^2 + 44x – 42, where P is the profit in millions of dollars and x is the number of cars sold in thousands.
(a.) How many cars are sold when the company breaks even?
(b.) What is the company’s maximum profit? How many cars sold gives the maximum profit?
Answer:
a) 1000,21000 are the break even number of cars
b) the maximum profit is 200 at 11000 cars
Step-by-step explanation:
P = –2x^2 + 44x – 42
To break even, P =0
0 = –2x^2 + 44x – 42
Factor
0 = -2( x^2 -22x+21)
0 = -2 ( x-21)(x-1)
Using the zero product property
0 = x-21 0 = x-1
x=21 x=1
Remember that x is the number of cars in thousands
When the profit is maximum is at the vertex
The vertex is 1/2 way between the two zeros
(1+21)/2 = 22/2 = 11
11 cars sold
The maximum profit is
P(11) = –2(11)^2 + 44(11) – 42=--242+484-42=200
The maximum profit is 200
Use a net of the square pyramid necessary to fnd the surface area of the pyramid
Help I don’t get it
Answer:
143
Step-by-step explanation:
Your equation to find x is:
140+146/2 = 143
An architect makes a model of a new house. The model shows a tile patio in the backyard. In the model, each tile has length 1/4 in. and width 1/6 in. The actual tiles have length 1/6 ft and width 1/9 ft.
What is the ratio of the length of a tile in the model to the length of an actual tile? What is the ratio of the area of a tile in the model to the area of an actual tile
Answer:
The answer is below
Step-by-step explanation:
The model is a tile with length 1/4 in. and width 1/6 in while the actual tile has length 1/6 ft. and width 1/9 ft.
Firstly we have to convert the model length and width from inches to feet.
1 feet = 12 inches
model length = 1/4 in. = 1/4 in * (1/12) ft./in = 1/48 ft.
model width = 1/6 in. = 1/6 in * (1/12) ft./in = 1/72 ft.
Therefore:
Ratio of model length to actual length of tile = (1/48 ft.) / (1/6 ft.) = 1 / 8
Ratio of model length to actual length of tile = (1/72 ft.) / (1/9 ft.) = 1 / 8
Area of model tile = length * width = 1/48 ft. * 1/72 ft. = 1/3456 ft²
Area of actual tile = length * width = 1/6 ft. * 1/9 ft. = 1/54 ft²
Ratio of model area to actual area of tile = (1/3456 ft²) / (1/54 ft²) = 1 / 64
Write an equation in slope intercept form of the line with the given characteristics. = through: (-3,1), slope · 2
Answer:
y=2x+7
Step-by-step explanation:
Hi there!
Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept
we are given the slope (2), and a point (-3,1)
we can subsitute 2 as m into the equation
y=2x+b
we need to find b
Since the equation will pass through the point (-3,1), you can use it to solve for b.
substitute -3 as x and 1 as y
1=2(-3)+b
multiply
1=-6+b
7=b
therefore the equation of the line is y=2x+7
Hope this helps!
What is the surface area of a cylinder whose base radius is 7 cm and whose height is 8 cm?
Round your answer to the nearest tenth.
Answer:
659.73
Step-by-step explanation:
i searched up surface area cylinder calculator to get the answer but incase u can't use that
A= 2(pi) r h + 2 (pi) r ^2
in this case it would be
A= 2 (pi) (7) (8) + 2(pi) 7^2
after that u should be able to get 659.73
if u didnt understand the explanation try searching up "surface area cylinder calculator" and it should pop up!
(my fault if the answer is wrong btw)
which parent function go through the orgin? select all that apply
A reciprocal
B linear
C quadratic
D Cubic
E cube root
F absolute value
5/(x+2) + 2/(x+7) please solve for me
Step-by-step explanation:
this is the answer i guess
17
Drag each tile to the correct box.
Match each savings plan to its description
401(k)
Roth IRA
403(b)
529 plan
health FSA
a tax-deferred retirement savings plan available to employees of some nonprofit
organizations and educational Institutions
a tax-advantaged college savings plan
an employer-offered retirement account that accepts contributions from
employees and employers
a tax-advantaged savings account available through employers to pay for
qualified medical expenses
Answer:
●an employer-offered retirement account that accepts contributions from employees and employers - 401(k)
●a tax-deferred retirement savings plan available to employees of some nonprofit - 403(b)
●a tax-advantaged college savings plan- 529 plan
●a tax-advantaged savings account available through employers to pay for qualified medical expenses- health FSA
Step-by-step explanation:
●401(k): Retirement
A 401(k) is one of the most well-known tools for retirement savings. A 401(k) is an employer-sponsored retirement plan that allows employees to contribute money on a pre-tax basis. Your contributions and earnings are not taxed until you start making withdrawals.
●403(b): Retirement
Like 401(k) accounts, a 403(b) is a form of an employer-sponsored retirement account. If you work for a public school, university, or non-profit organization, you may be eligible for a 403(b) account.
With a 403(b), you make contributions before taxes are taken out of your paycheck. You don’t pay taxes on the contributions .
● ROTH IRA: Retirement
A Roth IRA works differently than a Traditional IRA. Your contributions are not tax-deductible, and you make contributions with after-tax dollars. However, Roth IRAs offer a unique advantage: your earnings and withdrawals are tax-free. Roth IRAs have the same contribution limits as Traditional IRAs.
● 529 Plan: Education
A 529 education savings plan is a tool you can use to save for your child’s college tuition and fees. The money you invest can grow over time, and if the money is withdrawn to pay for qualified educational expenses, earnings are not subject to federal income tax. Depending on your state, your contributions may also be tax-deductible.
While 529 plans do not have contribution limits, contributions toward a 529 plan count as gifts and are subject to gift-tax laws.
● Flexible Spending Accounts: Health
Some employer-offered health insurance plans include flexible spending accounts (FSAs). With an FSA, you make pre-tax contributions into a separate account to use for health expenses. You can use your FSA dollars to purchase prescription and over-the-counter medications, pay your deductibles or coinsurance, and purchase medical supplies.
suppose △BUG is an isosceles triangle. Find the measure of <B.
Answer:
B=44°
Step-by-step explanation:
x+10+3x+x=180
5x= 180-10
x=34
B= 34+10
B=44°
62n−1=36 help quick thank you soosoo much!!
Answer:
n = 37/62
Step-by-step explanation:
62n - 1 = 36
(Add 1 on both sides)
62n - 1 + 1 = 36 + 1
62n = 37
(Divide 62 on both sides)
62/62n = 37/62
n = 37/62
Answer:
n equals 0.596!
Step-by-step explanation:
62n − 1 = 36
62n = 36 + 1
62n = 37
n = [tex]\frac{37}{62}[/tex]
n = 0.596 (the number is huge but it can be written in short like this)
the pattern continues, what would be the eighth number in the pattern?4. 25, 28, 32, 37, 43 ______ PLS HELP ME
[tex]25,28,32,37,43,50,58,67.[/tex]
[tex]\boxed{The\:eighth\:number\:in\:the\:pattern\:is\:67.}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex]25, 28, 32, 37, 43,50,58,67\\ ✒ \: 25 + 3 = 28 \\ ✒ \: 28 + 4 = 32 \\ ✒ \: 32 + 5 = 37 \\ ✒ \: 37 + 6 = 43 \\ ✒ \: 43 + 7 = 50 \\ ✒ \: 50 + 8 = 58 \\ ✒ \: 58 + 9 = 67[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]
Stewart has 18 birds remaining in avery. However he did have 29 until Tim left the door open. There are 8 blue birds and 4 Galahs. What percentage flew away?
Answer:
37.9%
Step-by-step explanation:
percentage that flew away = number that flew away /total number of birds x 100
number that flew away = 29 - 18 = 11
9/29 x 100 = 37.9%