Answer: 1. 79
2. 13
3. 7/4
Step-by-step explanation:
Q(x)=5x^2-1
Q(4)=5(4)^2-1
=5(16)-1
=80-1
Q(4) = 79
p(x)=x^2+x+1
p(-4)=(-4)^2+(-4)+1
=16-4+1
p(-4) =13
p(x)=x^2+x+1
p(1/2)=(1/2)^2+(1/2)+1
=1/4+1/2+1
2+4+8/9
=14/8
p(1/2) = 7/4
Tommy has 3 dogs. Last month, he bought 5 pounds of dog food for 7.95, 8 pounds of dog food for 12.72, and 15 pounds of dog food for 23.85, what is the constant cost of the dog food per pound?
Answer:
The constant cost of dog food is $1.59 per pound.
Step-by-step explanation:
Divide each pound by the cost and you get $1.59
Kaylee's gross income is $3,200 per month. Of this amount 25% is taken out for taxes and other required deductions. How much is her take home pay?
Answer: [tex]\$2400[/tex]
Step-by-step explanation:
Given
Kaylee's gross income is [tex]\$32,000\text{per month}[/tex]
[tex]25\%[/tex] is taken out for taxes and other required deduction
left amount is
[tex]\Rightarrow 3200-25\%\times 3200\\\Rightarrow 3200(1-0.25)=\$2400[/tex]
So, her take-home pay is [tex]\$2400[/tex]
Write the radius of each circle.
1. (x - 2)2 + (- 5)2 = 36 r=
2. x2 + y2 = 25 r =
4. x2 + y* = 49 r =
3. (x-8) + (y + 3)2 = 9
r=
Write the equation of each circle.
5. Circle L with center L(4, -3) and radius 5
6. Circle A centered at the origin with radius 6
7. Circle D with center D(3, 3) and radius 2
8. Circle M with center M(0.-2) and radius 9
Answer:
1. 6
2. 5
3. 3
4. 7
5. (x-4)2 + (y+3)2 =25
6. x2+ y2 = 36
7. (x-3)2+(y-3)2 = 4
8. x2 + (y+2)2 = 81
Step-by-step explanation:
use formula (x-h)2 + (y-k)2 = r2
where (h,k) is center and r is radius
A sofa is on sale for $481, which is 65% of the regular price.
What is the regular price?
Answer:
I think $ 649.35 cents
Step-by-step explanation:
65% off means the sale price is 35% of the regular price.
35% of something is 0.35 times the something.
Which inequality is true when x=6? *
Answer:
10+x=16
Step-by-step explanation:
PLEASE HELP FAST 30 POINTS PLUS BRAINLIST ONLY ANSWER IF YOU KNOW
The Golden Gate bridge was built in San Francisco, California, in 1937. Until 1964, it was the longest suspension span in the world. The length of the cable from the top of the tower to where it anchored in the concrete is 2332 m, and the height of each tower is 152 m. Assuming the cable forms a straight line, how far from the base of the tower is the cable anchored?
The surface area of a three-dimensional object is:
angle relationships. please help me. i will give you brainlist. if you are right though.
Step-by-step explanation:
12x+15+69= 180
12x = 96 X =8
x+137 + 50 = 180
x = - 7
80= 20x
x = 4
A rectangular garden has dimensions of 100ft by 10ft next season the garden is decreased by 2/3 of its size what is the scale of the new drowning
The qyaeriin has no attached diagram. A related diagram was found and used to provide the steps required to solve the problem.
Answer:
1 inch = 8.333 feets
Step-by-step explanation:
Initial dimension of rectangle :
100 feets by 10 feets
Fractional decrease in garden = 2/3
New Dimension of garden :
2/3(100 feets) by 2/3(10 feets)
66.667 feets by 6.6667 feets
Hence
From the picture attached :
8 inch = 66.667
1 inch = 8.333
The new scale of the drawing = 1 inch = 8.333 feets
Need help on this one last question
Answer:
available
Step-by-step explanation:
if its available if available comment
Is y= x +4 a linear fraction or nonlinear fraction
Answer:
Linear as it would be a straight line.
Step-by-step explanation:
If you move up one and to the left one you would have a straight line touching the y-intercept 4.
Write an expression for the nth term of the geometric sequence. Then find the indicated term. a1 = 3, r = 3 , n = 10
Answer:
[tex]A_{n} =3(3)^n^-^1[/tex]
[tex]A_{10} = 59,049[/tex]
A box contains 2 purple marbles, 2 blue marbles, 3 green marbles, and 5 red marbles. 2 purple marbles, 2 blue marbles, 3 green marbles, and 5 red marbles. Which color marble is most likely to be picked?
Answer:
A red marble
Step-by-step explanation:
First, add all of the possible combinations of marbles that can be picked from the box ( 2 + 2 + 3 + 5 = 12 ). Next, write down the amount of each marble ( 2 purple marbles, 2 blue marbles, 3 green marbles, and 5 red marbles). Then, find the marble that appears most in the box. (red marble). Finally, not only have you found that the red marble is most likely to be picked, you also know the probability of picking a red marble, (5/12).
Answer: red
Step-by-step explanation:
The Slow Ball Challenge: There will be 9 pitches, each at 60 mph. Diego estimates that he will hit each individual pitch 95% of the time. If Diego can hit all 9 pitches, he will win a total of $45; otherwise he will lose $10. The Fast Ball Challenge: There will be 4 pitches, each at 90 mph. Diego estimates that he will hit each individual pitch 60% of the time. If Diego can hit all 4 pitches, he will win a total of $80; otherwise he will lose $20. Show Proof of which challenge he should play and why?
Answer:
He should play the Slow Ball Challenge
Step-by-step explanation:
The number of pitches = 9 pitches
The speed of the 9 pitches = 60 mph
The percentage of the time Diego estimates he can each pitch = 95%
P = 0.95
The amount Diego will win if he can hit all 9 pitches = $45
The amount he will loose = $10
The Fast Ball challenge
The number of pitches = 4 pitches
The speed of the 4 pitches = 90 mph
The percentage of the time Diego estimates he can each pitch = 60%
The amount Diego will win if he can hit all 4 pitches = 60 %
The amount he will loose = $20
For the Slow Ball challenge, we have;
The probability that he hits all 9 pitches and wins the $45, is given by the binomial probability distribution as follows;
P(X) = ₙCₓ · Pˣ ·(1 - P)ⁿ⁻ˣ
Therefore, we get;
P(X) = ₉C₉ · P⁹ ·(1 - P)⁹⁻⁹ = 1 × 0.95⁹ ≈ 0.63025
The probability that he losses the $45 = 1 - P(X) ≈ 1 - 0.63 = 0.36975
The expected value = 0.63025 × 45 - 0.36975 × 10 ≈ 24.66375
The expected value ≈ 24.66375
For the Fast Ball challenge, we have;
The probability that he hits all 4 pitches and wins the $80, is given by the binomial probability distribution as follows;
P(X) = ₙCₓ · Pˣ ·(1 - P)ⁿ⁻ˣ
Therefore, we get;
P(X) = ₄C₄ · P⁴ ·(1 - P)⁴⁻⁴ = 1 × 0.6⁴ ≈ 0.1296
The probability that he losses the $80 stake = 1 - P(X) ≈ 1 - 0.1296 = 0.8704
The expected value = 0.1296 × 80 - 0.8704 × 20 ≈ -7.04
The expected value ≈ -7.04.
Given that the expected value for the Fast Ball Challenge is lesser than the expected value for the Slow Ball Challenge, Diego should play the Slow Ball Challenge.
The circumference of a circular pool is 43.96 meters. What is the area in square meters? Use 3.14 for pi.
A. 153.86
B.145.30
C.138.03
D.47.10
Answer:
The answer is letter A
Step-by-step explanation:
Area of a circle in terms of radius:
A circle of radius = 6.996 or 7, or diameter = 13.99 or circumference = 43.96 meters
Area = π · r^2 = 3.14 * 7^2 = 153.86 square meters
Please help!!!!!!!!!
Answer:
C , 6/15
Step-by-step explanation:
Hope it helps !!:)
Cyrus is hosting a dinner to celebrate Nowruz,
the Persian New Year. His groceries cost $150
before he uses a 10%-off coupon. He also
orders $60 worth of flowers. Sales tax on the
flowers is 6.25%. What is the total amount
Cyrus spends?
Answer:
$198.75
Step-by-step explanation:
total amount spent = cost of groceries + cost of flowers
total cost of groceries = initial cost - coupon value
coupon value = 0.10 x 150 = $15
Total cost = $135
total cost of flowers = cost of flowers + tax value
tax value = 0.0625 x $60 = $3.75
total cost of flowers = $3.75 + $60 = $63.75
total amount spent = $135 + $63.75 = $198.75
A circle has a radius of 30 cm.
What is the area of the circle?
Explain or show your reasoning.
Answer: the area of the circle is 2827.43cm²
Step-by-step explanation:
Avery invested $21,000 in an account paying an interest rate of 3.3% compounded continuously. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $29,200?
Answer:
10
Step-by-step explanation:
Answer from delta math
Select the correct function. Select the function with an average rate of change of 3 over the interval [1, 3].
Answer:
Function g(x)
Step-by-step explanation:
Given
See attachment for functions
Required
Which has an average rate of 3 over [1,3]
The average rate of change (m) is calculated as:
[tex]m = \frac{f(b) - f(a)}{b -a}[/tex]
Where:
[tex][a,b] = [1,3][/tex]
So, we have:
[tex]m = \frac{f(3) - f(1)}{3 -1}[/tex]
[tex]m = \frac{f(3) - f(1)}{2}[/tex]
From the table f(x), we have:
[tex]f(3) = 6\\ f(1) = -2[/tex]
So:
[tex]m = \frac{6 - -2}{2}[/tex]
[tex]m = \frac{8}{2}[/tex]
[tex]m =4[/tex]
From the graph of g(x), we have:
[tex]g(3) = 4\\ g(1) = -2[/tex]
So:
[tex]m = \frac{g(3) - g(1)}{2}[/tex]
[tex]m = \frac{4 - -2}{2}[/tex]
[tex]m = \frac{6}{2}[/tex]
[tex]m =3[/tex]
Since only one of the function has an average rate of change of 3 over the given interval,
Then g(x) answers the question
can anyone please help me with this?
Answer:
132°
Step-by-step explanation:
x+48=180
x=180-48=132
cuanto es +(+9) - (+6)
Answer:
+ ( + 9) - (+ 6)
= 9 - 6
= 3
espero que ayude
Step-by-step explanation:
A bag contains 12 red marbles, 10 green marbles, 2 yellow marbles, 19 blue marbles, and 9 purple marbles. What is the probability of pulling out a green marble?
Answer:
10/52 or when reduced, is 5 over 26 (5/26) and if they want it as a percent, its 19% (.19)
Answer:
5/26
Step-by-step explanation:
Mr. Sims wants to buy a new truck. He sold his old truck for $3,582, and he has $4,979 in the bank. If a new truck costs $9,005, how much more money does he need in order buy the new truck?
Answer:
$444
Step-by-step explanation:
3,582 + 4,979 = 8,561
9,005 - 8,561 = 444
What is the standard form of 3 x 1,000 + 5 x 10 + 9 x 0.1 + 6 x 0.001?
Three students wrote a relationship between decimal, fraction, and percent's. Which of the students wrote an equivalent relationship? Lori wrote: 75% = 3/5 Talisha wrote: 0.05 = 50% Shannon wrote: 3/8 = 0.375
Answer:tyeydStep-by-step dh:
ghe
PLEASE HELP ASAP I NEED HELP ASAP. PLEASE AND TY
Answer:
5 in
Step-by-step explanation:
Classify the triangles shown below as "scalene," "isosceles," or "equilateral." Sides that are the same length are marked with a slash. Write the letter of each triangle and the category or categories in which it belongs. If a triangle fits more than one classification, write all categories that apply.
6.4=0.8m what does m equal
Answer:
0.8
Step-by-step explanation:
8x8=64 but put the decimal point back in 0.8x0.8=6.4
PLEASE help asap ; -; (USAtest prep) I Give brainliest!!
Question: find the area of each figure (drag and drop)
Answer:
Dark blue = 44 in
Red = 33 in
Purple = 75 in
Green = 40 in
Light blue = 46 in
Answer:
im just answering this to give the other person brainliest
Step-by-step explanation: