Function
d. 4f(t)
=4(t²+9)
=4t²+36
e. (f(t))²+8
=(t²+9)² + 8
= t⁴+18t²+81+8
= t⁴+18t²+89
A sporting goods store sells square exercise mats that are 17 m on a side. Find the perimeter and area of the mat.
Answer:
Permeter= 68m
Area= 289m^2
Step-by-step explanation:
Perimeter = 17^4 = 68m cause perimeter is the total length and square has 4 sides
Area= 17 ^17= 289m^2
Area of square is to multiply length x length
The perimeter and area of the mat will be 68 meters and 289 square meters.
What is the area and perimeter of the square?All the sides of a square are congruent. Let a be the side length of the square. Then the area of the square is the square of the side length of the square.
The area of the square will be
A = a² square units
The sum of all the sides of the square will be known as the perimeter of the square.
The perimeter of the square will be
P = 4a units
A sporting goods store sells square exercise mats that are 17 m on a side.
The area of the square will be
A = 17²
A = 289 square meters
The perimeter of the square will be
P = 4 x 17
P = 68 meters
The perimeter and area of the mat will be 68 meters and 289 square meters.
More about the area and perimeter of the square link is given below.
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#SPJ2
HELP ME PLEASE HURRY THIS IS DUE IN 30 MINS
Answer:
F(x)= (x-5)(x+3)
Step-by-step explanation:
we have two roots/ X-intercepts meaning we can assume that it is a quadratic function
3/14/7/10
[tex] \frac{ \frac{ \frac{3}{14} }{7} }{10} [/tex]
simplify
Answer:
= 3/14 × 10/7
= 15/14
hope it helps!
Answer:
= 3/14 × 10/7
= 15/14
Step-by-step explanation:
branliest pls
Solve for x
2x-3x(3+2)=10
Answer:
Step-by-step explanation:
2x - 3x(3+2) = 10
Distribute the -3x to the numbers inside the parenthesis:
2x - 9x -6 = 10
Simplify:
-7x = 16
Isolated the x:
x = 16/-7
is x =4 a solution of the equation
13=2x + 4?
A.yes
B.no
No, it is not. If you plug 4 into the equation in the place of x, you get 13=2(4)+4
13=8+4
13=12
It equals 12, not 13.
Answer:
No
Step-by-step explanation:
Because If You Do 2 x 4 you get 8 and 8 + 4 = 12 and not 13 so the answer is 4.5 because 4.5 x 2 = 9 and 9 + 4 = 13
A tractor-trailer travels 205. 296 miles in 3. 12 hours. What is the speed at which the tractor-trailer is traveling? A. 62. 05 miles per hour B. 63. 2 miles per hour C. 64. 05 miles per hour D. 65. 8 miles per hour E. 66. 5 miles per hour.
Answer:
65.8 mph
Step-by-step explanation:
What I did was I divided 205.296 by 3.12 and I got 65.8.
isaac parents paid $3,200 per month to rent an office space for their own business. Of this amount, $325 was for the utilities. What percent of their rental cost was for the utilities
Please help me in this question!
Step-by-step explanation:
The second part fir y
Explained in pic
if the radius of a circle is increased by 50 perent what will be the percent increase in the circumfrence
Answer:
50%
Step-by-step explanation:
The equation for circumference is:
[tex]C=2\pi r[/tex]
In this case, the radius and the circumference are directly proportional meaning that if the radius increases by 50%, the circumference will also increase by 50%.
Let's use some examples to prove this:
Radius : 2
Increase by 50% : 2*50%=2*(50/100)=2(1/2)=1 --> 1+2 = 3
[tex]C=2\pi r=2\pi 3=6\rightarrow 50 \ percent\ increase\ from\ 4\\C=2\pi r=2\pi 2=4[/tex]
Radius : 4
Increase by 50% : 4*50%=4*(50/100)=4(1/2)=2 --> 2+4 = 6
[tex]C=2\pi r=2\pi 6=12\pi\rightarrow50\ percent\ increase\ from\ 8\\C=2\pi r=2\pi 4=8\pi[/tex]
In both cases, when we increased the radius by 50%, the circumference also increased by 50%, proving our previous statement correct.
Therefore, when the radius of a circle is increased by 50%, the circumference will also increase by 50%
Tom earned 5600 last summer delivering newspapers. This summer, he earned 20% more. How much did he earn this summer?
Answer:
$6,720
Step-by-step explanation:
20% of 5600 is 1120.
1120+5600= 6,720
In the year 2003, a company made $6.5 million in profit. For each consecutive year after that, their profit increased by 8%. How much would the company's profit be in the year 2007, to the nearest tenth of a million dollars?
Answer:
$8,580,000 (rounded) = $9,000,000
Step-by-step explanation:
Keep in mind, 2007 is four years after 2003.
So, 8(%) • 4 = 32(%)
Over the course of 4 years, the companies profits increased by a total of 32 percent.
(*Write 6.5m in standard form)
6,500,000 + 32% = $8,580,000
8,580,000 (rounded up) = 9,000,000
At what ordered pair is "Parking Lot B" located at?
The ordered pair of the parking lot is the coordinates of the lot in the coordinate plane
Parking lot B is located in the ordered pair (-3,4)
How to determine the ordered pair of lot BFrom the figure, we have the following highlights
Parking lot B is located at x = -3 on the horizontal axis, and it is located at y = 4 on the vertical axis.
So, we have:
(x,y) = (-3,4)
Hence, parking lot B is located in the ordered pair (-3,4)
Read more about ordered pairs at:
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8 1/3 divided by x=2 1/3 divided by 8.1
Answer:
[tex]\large\boxed{\tt x \approx 28.9 \overline{285714}.}[/tex]
Step-by-step explanation:
[tex]\textsf{We are asked to solve for x in the given equation.}[/tex]
[tex]\large\underline{\textsf{What are Equations?}}[/tex]
[tex]\textsf{Equations are statements that determine 2 or more expressions are equal.}[/tex]
[tex]\underline{\textsf{This means that;}}[/tex]
[tex]\tt \frac{8 \frac{1}{3} }{x} \ is \ equal \ to \ \frac{2 \frac{1}{3} }{8.1}[/tex]
[tex]\textsf{For equations, rather \underline{proportions} such as these, we should \underline{Cross Multiply}.}[/tex]
[tex]\large\underline{\textsf{What are Proportions?}}[/tex]
[tex]\textsf{Proportions are comparisons to the size, and how large/small a value is.}[/tex]
[tex]\large\underline{\textsf{What is the Cross Multiplying?}}[/tex]
[tex]\textsf{Cross multiplying is indeed as simple as it sounds, basically multiply the oppsite}[/tex]
[tex]\textsf{known value by another known value, then divide the product by last known}[/tex]
[tex]\textsf{number. This sounds like a lot, but I'll give an example.}[/tex]
[tex]\underline{\textsf{Example;}}[/tex]
[tex]\tt \frac{1}{3} = \frac{2}{x}[/tex]
[tex]\textsf{We are asked to find x in the given proportion. We should use the cross}[/tex]
[tex]\textsf{multiplication method. Note that we should multiply the known values that are}[/tex]
[tex]\textsf{on opposite sides, and leave the known value with x as its opposite value alone}[/tex]
[tex]\textsf{until we have our product.}[/tex]
[tex]\tt \frac{1}{\small\boxed{\tt 3}} = \frac{\small\boxed{\tt 2}}{x}[/tex]
[tex]\textsf{3 and 2 are opposite from each other, hence we'll multiply them.}[/tex]
[tex]\tt \frac{1}{\small\boxed{\tt 3}} = \frac{\small\boxed{\tt 2}}{x} \rightarrow \frac{6}{1} = x[/tex]
[tex]\textsf{We'll divide by the last remaining known value, 1, then that should be the value}[/tex]
[tex]\textsf{of x.}[/tex]
[tex]\tt x = 6[/tex]
[tex]\large\underline{\textsf{Solving;}}[/tex]
[tex]\textsf{Use the Cross Multiplication Method.}[/tex]
[tex]\tt \frac{8 \frac{1}{3} }{x} = \frac{2 \frac{1}{3} }{8.1}[/tex]
[tex]\tt 8 \frac{1}{3} \ \textsf{and} \ \tt 8.1 \ \textsf{are opposite from each other, which means we will multiply those}[/tex]
[tex]\textsf{values together.}[/tex]
[tex]\tt \frac{ \small\boxed{\tt 8 \frac{1}{3}} }{x} = \frac{2 \frac{1}{3} }{\small\boxed{\tt 8.1}} \rightarrow 67.5.[/tex]
[tex]\textsf{Our product is 67.5, which means we are ready to divide 67.5 by 2} \tt \frac{1}{3} .[/tex]
[tex]\tt x = \frac{67.5}{2 \frac{1}{3} }[/tex]
[tex]\textsf{This quotient is going to be irrational, hence I will round to 7 digits.}[/tex]
[tex]\large\boxed{\tt x \approx 28.9 \overline{285714}.}[/tex]
Triangle BCD, with vertices B(-2,-7), C(-4,-2), and D(-7,-4), is drawn on the coordinate grid below.
What is the area, in square units, of triangle BCD?
(Geometry)
Answer:
[tex] \frac{4}{15} [/tex]
in percentages
If eight pencils cost 5.20 what is the unit price of pencils
8 divided by 5.2
that’s all it takes
Answer:
0.65
Step-by-step explanation:
Since we have given that
Cost of 8 pencils = 5.20
We need to find the cost of 1 pencil.
For this we'll use the unitary method,
5.20 divided by 8 = 0.65
The café's menu lists 3 choices: Egg &Chips -£3.00 Sausage & Chips - £3.60 Sausage & Mash - £2.70 How much would it charge for Egg & Mash?
The price of the given menu items can be used to find the price of Egg &
Mash to be £2.1.
Response:
The price for Egg & Mash is £2.1
Which method can be used to find the price for Egg & Mash?Let x represent the cost of Egg, let y represent the cost of Chips, let
z, represent the cost of Sausages, and a the cost of Mash we have the
following system of linear equations;
x + y = 3...(1)
z + y = 3.6...(2)
z + a = 2.7...(3)
x + a = Required
Solution:
Subtracting equation (1) from (2) gives;
z + y - (x + y) = 3.6 - 3 = 0.6
z - x = 0.6
Therefore;
z is £0.6 more expensive than x
x = z - 0.6
By plugging in the value of x = z - 0.6, gives;
x + a = z - 0.6 + a = z + a - 0.6
z + a = 2.7, which gives;
x + a = z + a - 0.6 = 2.7 - 0.6 = 2.1
Egg and Mash = x + a = £2.1Learn more about system of simultaneous equation here:
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This shelf is perpendicular to the wall. The shelving bracket makes an angle with the wall that measures 120°. Find the measures of the two interior acute angles shown. A. 50° and 40° B. 30° and 60° C. 46° and 20° D. 50° and 50°
Answer:
B
Step-by-step explanation
i just did it
Answer:
(B) 30 and 60 degrees
Step-by-step explanation:
A list of all possible outcomes of an experiment is called:.
Answer:
sample space
Step-by-step explanation:
Need help with MATH!!!!
Answer:
-47/48
Step-by-step explanation:
270 students went on a field trip. 6 buses were each filled with s students. How many students were on each bus?
Answer:
45
Step-by-step explanation:
Show all your work and the answer in the space below.
Answer:
m= 12
Step-by-step explanation:
[tex]\frac{3m+4}{8} = 5[/tex]
First multiply both sides by 8 to cancel out the 8 on the left side
[tex]3m + 4 = 80[/tex]
Isolate the m so subtract 4 from both sides.
[tex]3m = 36[/tex]
Divide both sides by 3.
[tex]m = 12\\[/tex]
please help !!!!! If (x−3)^2=5, what values of x make the quadratic equation true?
Answer:
x = 3 ±√5
Step-by-step explanation:
We can take the square root of both sides of the equation:
(x -3)^2 = 5 . . . . . . . . given
x -3 = ±√5 . . . . . . . . square root
x = 3 ±√5 . . . . . . . . add 3
_____
Additional comment
It is a good idea to remember this process. It is the final step in solving a quadratic by "completing the square."
please help me. B more than 9
Tony wants to buy 2.3 pounds of dried berries and 2.6 pounds of trail mix. How much will he spend?
You have Pennies and nickles that are equal to $8.80. You have twice the number of nickles than Pennies. Write an equation for this problem. How many nickles do you have and how many Pennies do you have?
Answer:
Step-by-step explanation:
Let's set up the variables as nickel=n and penny=p, for how many coins he has of each type. What we know is that Calvin had $8.80 total and that he has twice as many nickels as pennies. So, one equation for his total money and another for how many separate coins: 8.80 = 0.01p + 0.05n 2p=n
Estimate to compare. Select < or >. Round each number to the nearest whole number to estimate each sum.
2.73 + 5.28 ? 3.12 + 1.72
estimate estimate
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The table shows a probability of drawing numbered tickets from a jar if 8 tickets are randomly drawn how many tickets would be expected to have a number that ends with a 6
Answer:
4
Step-by-step explanation:
If you do .50 x 8 from each ticket being drawn and the probability you get 4
Solve 5p(2p - 3)(p + 7) = 0.
p=___, p=____, p=_____
Answer:
5p(2p-3)(p+7)=0
10p-15 p +7 =0
10p+p=0+15-7
11p =8
11p=8
p=8/11
Answer:
p=0, p=1.5, p=-7
Step-by-step explanation:
Assuming we need the equation to equal zero we do this.
5p(2p-3)(p+7)
5p = 0 (2p-3) = 0 (p+7)= 0 Separate each part
5(0) = 0 2(1.5)-3 = 0. (-7)+7 = 0 Replace P so the outcome is 0
p=0, p=1.5, p=-7 Solution
Can anyone please help me with this? I’d appreciate it a lot!
Answer:
(−2, −3)
Step-by-step explanation:
Let's solve your system by substitution.
x−9y=25;6x−5y=3
Step: Solvex−9y=25for x:
x−9y=25
x−9y+9y=25+9y(Add 9y to both sides)
x=9y+25
Step: Substitute9y+25forxin6x−5y=3:
6x−5y=3
6(9y+25)−5y=3
49y+150=3(Simplify both sides of the equation)
49y+150+−150=3+−150(Add -150 to both sides)
49y=−147
49y
49
=
−147
49
(Divide both sides by 49)
y=−3
Step: Substitute−3foryinx=9y+25:
x=9y+25
x=(9)(−3)+25
x=−2(Simplify both sides of the equation)
Therefore answer:
x=−2 and y=−3 which is (-2, -3)
Hope it helps!
(-2,3)
find tan cos sin
[tex]\huge \underline\frak \red{Answer}[/tex]
Given thing are
cos Θ = 2/3
we know that Cos Θ = Adjacent Side / Hypotenuse, so we get
Adjacent Side = 2
Hypotenuse = 3
Hypotenuse : BC = 3
Adjacent Side : AB = 2 (Adjacent to ∠ Θ)
Opposite Side : AC = ? (Opposite to ∠ Θ)
To find the Opposite Side - AC , we use Pythagoras theorem ((Hypotenuse)2 = (Leg 1)² + (Leg 2)²)
AC = √ BC² - AB²
AC = √ 32 - 22
AC = √ 9 - 4
AC = √5
Now we will try to simplify square root of 5. As no pairs can be made the final value will be
__
AC = √ 5
So Sin, Cos and Tan will be as follows -
Sin Θ = Opposite Side / Hypotenuse
__
Sin Θ = √5/3
Tan Θ = Opposite Side / Adjacent Side
__
Tan Θ = √5/2
Cos Θ = Adjacent Side / Hypotenuse
Cos Θ = 2/3