Please note that I'm not 100% sure on this question!
Answer:
[tex]x^{2} + 22x + 120[/tex]
Step-by-step explanation:
The ball pit was originally 10 × 12 feet long, or a 120ft area.
We can express the areas of the side and bottom extensions as [tex]12x[/tex] and [tex]10x[/tex] respectively.
The corner adjacent to both extensions can be expressed as [tex]x^{2}[/tex].
We can put these numbers into a polynomial:
[tex]x^{2} + 12x + 10x + 120[/tex]
This polynomial can then be simplified.
[tex]x^{2} + 22x + 120[/tex]
Which function is represented by the graph?
A)f(x) = 2x + 6
B)f(x) = -2x + 6
C)f(x) = 1/2x + 6
D)f(x) = -1/2x + 6
Answer:
It is (D)
[tex]f(x) = \frac{ - 1}{2} x + 6[/tex]
Step-by-step explanation:
I hope that is useful for you
Solve the equation p + 5| = 3.
o p = 8 or p = 2
p= -8 or p = -2
p= 2 or p = -8
O p=-2 or p = 8
what is the mad of this data set? 3,6,6,8,11,15,16
Answer:
4.0408163265306
Step-by-step explanation:
The bike store marks up the wholesale cost of all of
the bikes they sell by 30%. Remember from the last
slide that the bike is listed for $125.
b) If the bike is discounted by 20%, how much will
Andre pay (before tax)?
Answer:
$100.00
Step-by-step explanation:
%20 off of $125 is $100 dollars
The area of a rectangular
driveway is 2x2 + 15x + 25.
The width of the driveway is
x + 5. What is the length of
the driveway?
Answer:
2x+5
Step-by-step explanation:
Okay so lets first factor 2x^2+15x+25
2*25=50
10+5=15
10*5=15
(x+10/2)(x+5/2)
=(x+5)(2x+5)
we know that the width is x+5 so that means the length has to be 2x+5
The base area of a square-based prism is 25 ft squared. One of the lateral faces of the prism is 30 ft squared. What is the surface area of the prism?
Answer:
170 ft²Step-by-step explanation:
Surface area = 4*lateral faces + 2*bases
A = 4*30 + 2*25 = 170 ft²what’s the answer, and how do I find it step-by-step?
Answer: 16p^8q^4r^8 The yellow one
Step-by-step explanation:
Step 1: Use Multiplication Distributive Property: (xy)^a = x^a y^a. So 4^2p^2(q^3)(r^4)^2
Step 2: Simplify 4^2 to 16. So 16p^2(q^3)^2(r^4)^2
Step 3: Use Power Rule: (x^a)^b=x^ab. So 16p^2q^6(r^4)^2
Step 4: Use Power Rule: (x^a)^b=x^ab. So the answer is 16p^2q^6r^8. The yellow one
3
4Xα =αX 4 what rule is being used in each in of these equations :commutative,associative or distributive
Answer:
commutative property........
Evaluate the expression when g=3 and h= 17
h−5g
Answer:
2
Step-by-step explanation:
17 - 5(3) (Plug in)
= 17-15 (Multiply)
= 2 (Simplify)
Express each of the following in the form
[tex] {7}^{x} [/tex]
a)
[tex] \sqrt[5]{7} [/tex]
b)
[tex] \frac{1}{ \sqrt[7]{7} } [/tex]
Answer:
Explanation:
Answers:
a) [tex]7^{1/5}[/tex]b) [tex]7^{-1/7}[/tex]Each answer has 7 as the base and a fraction as an exponent.
==========================================================
Explanation:
One useful rule here is that [tex]\sqrt[n]{x^m} = x^{m/n}[/tex]. The fraction m/n is the exponent for the base x. Note how the index of the root (n) becomes the denominator of the fraction m/n. So for example if we had n = 3, then we'd be dealing with a cube root.
For part a), we have x = 7, m = 1 and n = 5 to get
[tex]\sqrt[n]{x^m}=x^{m/n}\\\\\sqrt[5]{7^1}=7^{1/5}\\\\\sqrt[5]{7}=7^{1/5}\\\\[/tex]
-----------------
Part b) is the same idea
We would find that
[tex]\sqrt[n]{x^m}=x^{m/n}\\\\\sqrt[7]{7^1}=7^{1/7}\\\\\sqrt[7]{7}=7^{1/7}\\\\[/tex]
Then apply the reciprocal to both sides. This is the same as raising both sides to the exponent -1
[tex]\sqrt[7]{7}=7^{1/7}\\\\\left(\sqrt[7]{7}\right)^{-1}=\left(7^{1/7}\right)^{-1}\\\\\frac{1}{\sqrt[7]{7}}=7^{1/7*(-1)}\\\\\frac{1}{\sqrt[7]{7}}=7^{-1/7}\\\\[/tex]
You could also use the rule that x^(-y) = 1/(x^y) when dealing with negative exponents.
In the second to last step shown above, I used the rule (x^y)^z = x^(y*z) on the right hand side.
1
3.1.1 What does 'in excess of' mean?
Answer:
more than.
"a top speed in excess of 20 knots"
Similar: "more than" "over" "above" "over and above" "beyond"
In ΔCDE, the measure of ∠E=90°, the measure of ∠C=70°, and DE = 12 feet. Find the length of CD to the nearest tenth of a foot
Answer:
[tex]CD = 4.4ft[/tex]
Step-by-step explanation:
Given
[tex]DE = 12[/tex]
[tex]\angle C = 70^\circ[/tex]
Required
Find CD
This question is represented with the attached triangle
To solve CD, we make use of tan formula.
[tex]tan(70) = \frac{DE}{CD}[/tex]
Substitute 12 for DE
[tex]tan(70) = \frac{12}{CD}[/tex]
Make CD the subject
[tex]CD = \frac{12}{tan(70)}[/tex]
[tex]CD = \frac{12}{2.7475}[/tex]
[tex]CD = 4.4ft[/tex] --- approximated
Answer:
12.8
Step-by-step explanation:
pretty please help i will mark brainlyist
Answer:
(4,3) is 2
(-2,5) is 1
(-1,-1) is 3
(3,-5) is 4
Step-by-step explanation:
Answer:
put the green dot 4 marks to the right and 3 marks up
put the purple dot 2 marks to the left and 5 marks up
put the blue dot 1 mark to the left and 1 mark down
put the pink dot 3 marks to the right and 5 marks down
Step-by-step explanation:
its a pretty self explanitory question. just put the colord dots on their matching coordinates
A radio disc jockey has 8 songs on this upcoming hour's playlist: 2 are rock songs, 4 are reggae songs, and 2 are country songs. The disc jockey randomly chooses the first song to play, and then she randomly chooses the second song from the remaining ones. What is the probability that both songs are reggae songs? Write your answer as a fraction in simplest form.
Answer:
[tex] \displaystyle \frac{1}{28} [/tex]
Step-by-step explanation:
we are given 8 songs
2 are rock. 4 are reggae, 2 are country
we want to figure out the probability of getting both reggae songs
notice that, they aren't replacing thus it's an independent probability
recall that,
[tex] \displaystyle \rm P(A \: \text{and} \: B) = P(A) \times P(B \mid A)[/tex]
P(A) represents the chance of getting our subject first time and P(B|A) represents the chance of getting the same subject second time
let's figure out P(A)
we have 2 reggae songs
and total 8 songs
therefore
[tex] \displaystyle\rm P(A) = \frac{2}{8} = \frac{1}{4} [/tex]
let's figure out P(B|A)
since we took a reggae song before now we have only a reggae song
and total 8-1=7
therefore
[tex] \displaystyle \rm P(B\mid A) = \frac{1}{7} [/tex]
Altogether
[tex] \displaystyle \rm P(A \: \text{and} \: B) = \frac{1}{4} \times \frac{1}{7} [/tex]
simplify multiplication:
[tex] \displaystyle \rm P(A \: \text{and} \: B) = \frac{1}{28} [/tex]
And we are done!
Plz help i need help thx brainliest 5 star!!!!!!!!!!!!!
Answer:
Part A: d ≥ 500
Part B: d must be over or equal to 500 but can go infinity at 500+
Step-by-step explanation:
Part A:
≥ stands for "at least" and d has to be "at least" 500,
hence d ≥ 500
On a certain hot summer's day, 218 people used the public swimming pool. The daily prices are $1.25 for children and $2.00 for adults. The receipts for admission totaled $349.75.
How many children and how many adults swam at the public pool that day?
Answer:
We call x the number of children and y the number of adults
We have system of equations
x + y = 218 (1)
1.25x + 2y = 349.75 (2)
(1) => x = 218 - y. Replace x in (2) 1.25 (218-y) + 2y = 349.75
=> y = 103 replace y in (1) x = 218-103 = 115
Children and how many adults swam at the public pool that day is : 115 and 103
Step-by-step explanation:
If the probability that the Islanders will beat the Rangers in a game is 5/6, what is the probability that the Islanders will win at least five out of six games in a series against the Rangers? Round your answer to the nearest thousandth.
ANSWER IS 0.737
Help asap plss i will give you brainliest
Answer:
A. -80x + 24
Step-by-step explanation:
- 8( 10x - 3 )
- 8( 10x )
= - 80x
- 8 ( - 3 )
= 24
- 80x + 24
Remember, when you multiply a negative number with another negative number it will become positive
Hope this helps dude
Work out the surface area of this solid prism.
8m
x 5m
3m
4m
The diagram is not drawn to scale.
unit: m2
Answer:108
Step-by-step explanation:
Help me with this!! Will mark Brainliest
Answer:
yes both are the distance of 99mm
Answer:
yes
Step-by-step explanation:
they are equal in length
What is the answer to 153÷1/4=?
Write answer as a fraction
Answer:
612 /1 or 6120/10
Step-by-step explanation:
factor the numerator and denominator and cancel common factors
Answer:
612 there is no fraction solution.....well i dont think so...
Step-by-step explanation:
convert 1/4 into a decimal: 1/4 = .25
DIVIDE
153 / .25 = 612
ANSWER
612
if there was a fraction solution it'll probably be 2448/4 = 612
2448/4 would be the fraction solution...
The volume of a mini-basketball is approximately 4846.59 cubic centimeters. What is the approximate radius of a mini-basketball?
A
10.5 cm
B
11.5 cm
C
21 cm
D
23 cm
Answer:
A
Step-by-step explanation:
4/3 pi r3= 4846.59*3/4/pi=1157.625
so r3= 1157.625
so taking cube root on both sides we get
10.5 which is A
if my answer helps please mark as brainliest.
SOLVE THESE TWO FOR BRAINLY PLSSSS!!!!!!!!
Answer: 1) D
2) A
Step-by-step explanation: plz mark me brainliest
Answer:
1) C) 2) B)
Step-by-step explanation:
First one is just times them together get 12root(a^2b^2) = 12ab.
Second question, you use equation 1 to minus equation 2 get 2x = 6, then x = 3, then substitute it into either equation, for example the first one get -7*3 + 5y = 24, then solve for y, can get y = 9, so B) is correct answer.
If it is helpful, plz give me Brainliest.
I Need Help! ASAP
Part A. Johnny translated ABCD 3 units to the right and 4 units up to a new position, EFGH. Draw and label EFGH.
Part b. Tom rotated ABCD to a new position, IJKL, 90º clockwise about the origin, O. Draw and label IJKL.
Part c. Tony placed a smaller car, represented as MNOP, on the coordinate plane. MNOP is a dilation of ABCD with its center at the origin and a scale factor of -0.5. Draw and label MNOP.
PLZ HELP!! I'm really stuck
>n
Which set of numbers is ordered from greatest to least?
A. -6, -10, 0,3
B.-7, -5, 2,6
C. 4, 3, -2,-6
D.-3, -6, 9, 11
Answer:
C
Step-by-step explanation:
Positives are bigger than negatives, so the highest is 4 and the lowest is Negative 6.
Answer:
c is the answer
Step-by-step explanation:
because when the number is negative it's lowe than a positive number and the answer "c" has the first number as a positive which that number is the greatest out of all of them in that answer
The odometer in a car measures the number of miles driven by the car since it was made. During a trip, the odometer reading in Anita’s car is modeled by the function y=9500+55x, where x represents the number of hours driven during the trip and y represents the odometer reading in miles.
Part A
What is the meaning of the rate of change in this function?
The number of miles driven each hour during the trip.
The total number of miles driven at the beginning of the trip.
The total number of miles driven at the end of the trip.
The number of miles driven during the trip.
Question 2
Part B
What was the odometer reading, in miles, before Anita’s trip?
Answer:
Step-by-step explanation:
Part A
The units on 9500 must be miles. So if x is time, then 55 must be the rate at which she travels ie 55 miles per hour. So the answer must be A.
Part B
The trip began when the time was zero. Therefore x is zero. What remains is the mileage on the odometer when x = 0. The answer must be 1950.
Can somebody help me on this and if so please answer correctly
What is the area of this figure?
Answer:
Im not going to give you the answer but try this by your self.
Step-by-step explanation:
To figure out the area multiply each side together. To find the perimiter add all the sides.
Answer:
671
Step-by-step explanation:
16 × 9 = 144
13 + 16 = 29
29 × 9 = 261
9 + 29 = 38
38 × 7 = 266
266 + 261 + 144 = 671
just do number 3 quick please
Answer:
Step-by-step explanation:
Sin A = [tex]\frac{opposite side}{hypotenuse}=\frac{5}{13}\\\\[/tex]
Cos A = [tex]\frac{Adjacent side}{hypotenuse}=\frac{12}{13}[/tex]
Tan A = [tex]\frac{opposite side}{adjacent side}=\frac{5}{12}[/tex]
A = tan⁻¹ (5/12) = 22.61°
Answer:
Step-by-step explanation:
a) Sin A = opposite/hypothenuse
Sin A = 5/13 ≈ 0.3846..
b) Cos A = adjacent/hypothenus
Cos A = 12/13 ≈ 0.9230..
c) Tan A = opposite/adjacent
Tan A = 5/12 ≈ 0.4166..
d) we will use the inverse Sine function
< A = sin^-1(5/13)
< A = sin^-1(0.3846) ≈ 22.62°
P.S. You can use any of the three inverse functions to find the angle: sin^-1 | cos^-1 | tan^-1