Answer:
D
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
To obtain this form use the method of completing the square.
Given
f(x) = - 0.6x² + 4.2x + 240 ← factor out - 0.6 from the first 2 terms
= - 0.6(x² - 7x) + 240
To complete the square
add/ subtract ( half the coefficient of the x- term)² to x² - 7x
f(x) = - 0.6(x² + 2(- 3.5)x + 12.25 - 12.25 ) + 240
= - 0.6 (x - 3.5)² + 7.35 + 240
= - 0.6(x - 3.5)² + 247.35
with vertex = (3.5, 247.35 )
The maximum value is the y- coordinate of the vertex
Then
f(x) = - 0.6(x - 3.5)² + 247.35 has a maximum value of 247.35
Find the volume of a rectangular prism with the dimensions:
length: 4 yd
width: 5 ft
height: 11 ft
(keep in mind, that 1 of them is yards and the rest are feet)
Answer:
220
Step-by-step explanation:
V= whl = 5 · 11 · 4 = 220
Find the volume of a rectangular prism with the dimensions:
length: 4 yd
width: 5 ft
height: 11 ft
Answer:-Given:-[tex] \bullet [/tex] Length of a rectangular prism = 4 yards = 4 × 3 = 12 feet.
[tex] \bullet [/tex] Breadth of a rectangular prism = 5 feet.
[tex] \bullet [/tex] Height of a rectangular prism = 11 feet.
To Find:-The volume of a rectangular prism.
Solution:-We know,
Formula of Volume of a rectangular prism is (Length × Breadth × Height) cubic units.
So, Volume = (12 × 5 × 11) cubic feet
Volume = 660 cubic feet
The volume of a rectangular prism is 660 cubic feet. [Answer]A gym charges $5 per day, plus $2 for each equipment rental. Jamin will pay for one day at the gym and
r equipment rentals. Create an equation that represents the total amount, a dollars, Jamin will pay.
Enter your equation in the space provided. Enter only your equation.
This is for math class. Help me plz. Need this done by today mid-night.
Help
Determine which is the better buy. Show all work! Explain.
Hand soap: A B
Cost: 1 4
Ounces 8 50
Answer:
Soap A is a better buy.
Step-by-step explanation:
Soap A is 1 dollar with 42 more ounces.
Soap B is 4 dollars with 42 ounces less.
You should be paying 1 dollar for 42 ounces more than 4 dollars for 42 ounces less.
Let me know if that helps!
A small business office uses 1,613 pieces of paper every 4 days. Which is a reasonable estimate for the pieces of paper the business office uses in 7 days?
A)6,400
B)11,200
C)2,800
D)3,200
Answer:
The answer is c.
Step-by-step explanation:
Hope this helps =)
Answer:
C. )2,800
Step-by-step explanation:
True ir False: The data is symmetrical. will mark Brainliest if correct (no files or links please)
Answer:
False.
Step-by-step explanation:
A symmetrical data plot would look the same on each side. For example, it would look like this:
Urgent!!
Sara sells a new car worth $46,000. She earns a 5% commission based on her sales. How much commission did
Sara earn?
Answer:
Sara earned a commission of $2,300.
Step-by-step explanation:
To find the answer we will first divide 5 by 100 and we get 0.05. Now multiply $46,000 by 0.05 and we get $2,300. Therefore, $2,300 is our answer.
FIND THE AREA OF THE SHADED SECTION IN THE CIRCLE THE SHADED SECTION IS 35 DEGRESS AND THE RADIUS IS 5 INCHES. USE THE FORMULA: M/360 TIMES PIE R SQUARED
Answer:
Area of sector of circle = 7.6302 inches (Approx.)
Step-by-step explanation:
Given:
Angle of section = 35°
Radius of circle = 5 inch
Find:
Area of shaded section
Computation:
Area of shaded section = Area of sector of circle
Area of sector of circle = [θ/360][πr²]
Area of sector of circle = [35/360][(22/7)(5)²]
Area of sector of circle = [0.0972][(3.14)(25)]
Area of sector of circle = [0.0972][78.5]
Area of sector of circle = 7.6302 inches (Approx.)
5. If EF = 4x+11, FG = 28, and EG=87, find the value of x, the drawing is not to scale
Answer:
Step-by-step explanation:
5)
Oh these are tricky ways to see the question in different ways, it's okay that you need help on this b/c it's kinda like a mind puzzle.
so first notice that EG is the total length
87 = something
next notice that we have two parts FG and EF
if those are added together we get the total or EG
so add the parts and set the equal to the total
87 = EF + FG
87 = 4x + 11 + 28
now we can solve for x, recall solving me "isolate x" :P soo
87-28-11 = 4x
48 = 4x
12 = x
yay
6)
EG = EF + FG
15 = 3x - 17 + 2x-8
15+17+8 =3x +2x
40 =5x
8 = x
yay
so do you see how to do those now? :?
a movie theater has 15 rows of State each rows have 24
Test Booklet AP CollegeBoard AP Statistics Name Unit 7, part 2 Test (MC) 1. A statistics student wants to compare the mean times needed to access flight information for two major airlines. Twenty randomly selected students accessed one airline's Web site, and the time required to locate the flight information using the Web site had a mean of 2.5 minutes and a standard deviation of 0.8 minute. Twenty different randomly selected students accessed the other airline's Web site, and the time required to locate the flight information using the Web site had a mean of 2.1 minutes and a standard deviation of 1.1 minutes. Assuming that the conditions for inference are met, which of the following statements about the p- value obtained from the data and the conclusion of the significance test is true?
A. The p-value is less than 0.01; therefore, there is a significant difference in mean search times on the two Web sites
B. The p-value is greater than 0.01 but less than 0.05, therefore, there is a significant difference in mean search times on the two Web sites.
C. The p-value is greater than 0.05 but less than 0.10, therefore, there is a significant difference in mean search times on the two Web sites.
D. The p-value is greater than 0.10, therefore, there is no significant difference in mean search times on the two Web sites
E. Since this is a matched-pairs situation, additional information is needed to perform a test of significance
Answer:
The statement about the p-value obtained from the data and the conclusion of the significant test that is true is option D
D. The p-value is greater than 0.10, therefore, there is no significant difference in mean search times on the two Web sites
Step-by-step explanation:
From the question, the statistics student wants to compare the mean times needed to access flight information for two airlines
Let 'A' represent one of the airlines and let 'B' represent the other airline
In the statistics hypothesis test we have;
The mean time to access airline A's website, [tex]\overline x_1[/tex] = 2.5 minutes
The standard deviation to access airline A's website, s₁ = 0.8 minutes
The mean time to access airline B's website, [tex]\overline x_2[/tex] = 2.1 minutes
The standard deviation to access airline B's website, s₂ = 1.1 minutes
The t-test is given as follows;
The null hypothesis is H₀; μ₂ - μ₁ = 0
The alternative hypothesis is H₀; μ₂ - μ₁ ≠ 0
[tex]t=\dfrac{(\bar{x}_{1}-\bar{x}_{2})}{\sqrt{\dfrac{s_{1}^{2} }{n_{1}}+\dfrac{s _{2}^{2}}{n_{2}}}}[/tex]
The critical-t at n₁ + n₂ - 2 = 20 + 20 - 2 = 38 degrees of freedom is therefore, from a graphing calculator, the critical-t = ±2.734 and the probability = 0.197;
[tex]t=\dfrac{(2.5-2.1)}{\sqrt{\dfrac{0.8^{2} }{20}+\dfrac{1.1^{2}}{20}}} \approx 1.32[/tex]
Therefore, given that the test statistic is smaller than the critical-t, and the p-value is greater than the significance level of 0.01 and is also larger than 0.10, therefore, there is no significant difference in mean search times on the two Web sites.
Help me ASAP!!!!!
See pic attached
Answer:
PQ ≈ 10.6 cm
Step-by-step explanation:
Calculate the distance d using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = P(3, - 1) and (x₂, y₂ ) = Q(- 5, 6)
PQ = [tex]\sqrt{(-5-3)^2+(6+1)^2}[/tex]
= [tex]\sqrt{(-8)^2+7^2}[/tex]
= [tex]\sqrt{64+49}[/tex]
= [tex]\sqrt{113}[/tex]
≈ 10.6 ( to 1 dec. place )
Solve.
1.5d + 3.25 = 1 + 2.25d
d= (Blank)
A (5, 3), B (2, 1), and C (-2, 4) are the coordinates of a triangle's vertices. If the triangle is reflected over the x-axis, what are the coordinates of the image?
1. A'(5, -3), B'(2, -1), C'(-2, -4)
2. A'(-5, 3), B'(-2, 1), C'(-2, 4)
3. A'(-5, 3), B'(-2, 1), C'(2, 4)
4. A'(-5, -3), B'(-2, -1), C'(2, -4)
Answer:
1 is the answer
Step-by-step explanation:
When coordinates are reflected over the x axis, the x coordinates stay the same but the y coordinates becomes either negative, if they were positive, or positive, if they had orginally been negative.
If this doesn't make sense i'l try to rephrase it, hope it helps though :)
ed made a large cube by gluing together a number of identical small cubes together
Answer:
thats cool not realy a question tho can I have brainlest
Step-by-step explanation:
Ed painted 95 faces of a large cube.
What is the Cubic equation?Cubic equations are polynomials of degree 3. That means the maximum degree of the polynomial is three.
And the standard form of the cubic equation is;
f(x) = ax³ + bx² +cx +d, where a, b, c, and d are constant coefficients a ≠ 0.
Let's assume that the original cube that Ed made had n small cubes along each edge.
Then the total number of small cubes in the large cube is n³.
Let p be the number of faces that Ed painted.
Each small cube has 6 faces, and if a face is painted, it will not be visible after the large cube is assembled.
So the total number of unpainted faces is 6n³ - p.
When Nicole drops the cube, each small cube will be separated from the others, and all painted faces will become visible.
So the total number of painted faces is equal to p minus the number of small cubes that don't have any painted faces, which is 45.
Therefore, we have a cubic equation:
p - 45 = 6n³ - p.
Simplifying this equation, we get:
2p =6n³ + 45
p = 3n³ + 22.5
We know that p is an integer, so 3n³ + 22.5 must be an integer.
This means that n³ must be a multiple of 2/3.
The smallest integer value of n that satisfies this condition is n = 3.
So Ed made a cube with 3 small cubes along each edge, and he painted:
the value of the cubic equation at 27,
p = 3n³ + 22.5 = 3(27) + 22.5 = 94.5 ≈ 95 faces of the large cube.
Therefore, 95 faces of the large cube.
To learn more about the cubic equation;
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The complete question:
Ed made a large cube by gluing together a number of small identical cubes and then he painted some of the faces of the large cube. His sister Nicole dropped the cube and it broke into the original small cubes. 45 of these small cubes didn't have any painted faces. How many faces of the large cube did Ed paint?
Rick bought 3 shirts for $18 each, 2 pair of socks for $3.99 a pair, and a pair of slacks for $45.00. The sales tax rate is 8.5%. How much did he pay? and how did you find it?
Step-by-step explanation:
shirts=3×18=$54socks=$3.99slacks=$45 =total sale =$102.99 sales tax=8.5%÷100=0.085=0.085×102.99=8.754
total=8.754+102.99111.744
Simplify the expression to a polynomial in standard form: (4x-3)(-2x^2-7x-5)
How to solve your problem
(4−3)(−22−7−5)
(4x−3)(−2x2−7x−5)(4x-3)(-2x^{2}-7x-5)(4x−3)(−2x2−7x−5)
Simplify
1
Distribute
(4−3)(−22−7−5)
(4x−3)(−2x2−7x−5){\color{#c92786}{(4x-3)(-2x^{2}-7x-5)}}(4x−3)(−2x2−7x−5)
4(−22−7−5)−3(−22−7−5)
2
distribute
4(−22−7−5)−3(−22−7−5)
4x(−2x2−7x−5)−3(−2x2−7x−5){\color{#c92786}{4x(-2x^{2}-7x-5)}}-3(-2x^{2}-7x-5)4x(−2x2−7x−5)−3(−2x2−7x−5)
−83−282−20−3(−22−7−5)
3
−83−282−20−3(−22−7−5)
−8x3−28x2−20x−3(−2x2−7x−5)-8x^{3}-28x^{2}-20x{\color{#c92786}{-3(-2x^{2}-7x-5)}}−8x3−28x2−20x−3(−2x2−7x−5)
−83−282−20+62+21+15
4
Solution
−83−222++15
I know this looks like a lot but its just how you solve your problem.
therefor, your answer is
Solution
−83−222++15
Hope this helps!
Have a great day!
-Hailey
Can someone tell me how to answer this?
Evaluate this expression: 39 -:- (2 + 1) -- 2 x (4 + 1).
Answer:
I love algebra anyways
the ans is in the picture with the steps
(hope it helps can i plz have brainlist :D hehe)
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
Do what's in the brackets first
39 ÷ (3) - 2*(5)
Now do the division and multiplication next.
13 - 10
Finally the subtraction.
3
3/12 x 6 with explanation!
Answer:
24 is the ans...................
Answer:
1 1/2
Step-by-step explanation:
3/12 * 6
6 is simply 6/1 so
3/12*6/1
multiply from side to side so
3*6=18
and
12*1=12
18/12
simplify to a mixed number
18 goes in 12 once with a remainder of 6, or 18-12=6 so
1 6/12
6/12 can both be simplified by 6 so you divide both by 6
6/6=1 and 12/6=2
1/2
add it back to the whole number
1 1/2
Please help!! it's due in an hour, If you answer Street F, I will mark you the Brainlyist answer
Answer:
y=-3/4+9
Step-by-step explanation:
First off we know that they are parallel, so they have to have the same slope.
y=-3/4
that is all we have for now, so we have to find b, the y intercept
we know that Street F passes through the point (4,6), so we graph that.
now we look at the graph and we can see that it look like we can translate it up 7 units.
this will give us the equation
y=-3/4+9
this is the answer hope this helps!
get this right N I’ll give you brain list!
Answer:
[tex]y=\frac{1}{4} +x[/tex]
Step-by-step explanation:
use desmos graphing calculator
WOULD YOU RATHER receive 40% off 15 copies OR 50% of 25 copies?
justify your reasoning with mathematics.
Answer:
hahaha
Step-by-step explanation:
hahahahahayou dont know d answer hahaha but i know its a secret
Answer:
If 40 percent off 15copies and each copies 100 pounds then it would cost 60 pound per copy times it by 15 = 900 pounds
whereas 50 percent off 25 copies = 50 pounds times 25=1250 so therefore you want 40 percent off 15 copies
Step-by-step explanation:
HELP ME PLEASE
A chef added 3/4 teaspoon of pepper and 1 1/2 teaspoons of salt to each pot of spaghetti sauce. How much pepper and salt combined are needed in order to make 5 pots of spaghetti sauce?
Answer:
11 1/4 teaspoons
Step-by-step explanation:
So 3/4 + 1 1/2 teaspoons are in one pot, which means 5(3/4 + 1 1/2) teaspoons are in 5 pots.
5(3/4 + 1 1/2)
5(2 1/4)
10 5/4
11 1/4
Total pepper and salt combined are needed in order to make 5 pots of spaghetti sauce is, 45 / 4
We have to given that,
A chef added 3/4 teaspoon of pepper and 1 1/2 teaspoons of salt to each pot of spaghetti sauce.
Here, Total amount of pepper and salt for each pot of spaghetti sauce is,
3/4 + 1 1/2
3/4 + 3/2
Make denominator same by taking LCM of 4,2 which is 4.
3/4 + 6/4
(3 + 6) / 4
9/4
Therefore, Total pepper and salt combined are needed in order to make 5 pots of spaghetti sauce is,
5 x 9/4
45 / 4
Learn more about the multiplication visit:
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This is science btw(i couldn't find the category so i put a popular category lol). Offering brainliest!!!
Answer:
1. Abiotic is the third answer
2. Biotic is the first answer
3. flora is the second answer
4. fauna us correct
Step-by-step explanation:
If
Answer this question to get marked as barinliest!!!!
What is the slope of the line shown below?
10
A. 6
ОО
(-0,3) 6
B.
10
16
c
D. 6
101
What is m∠1? Please help
Answer:
∠ 1 = 102°
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ 1 is an exterior angle of the triangle , then
∠ 1 = 33° + 69° = 102°
Answer:
102
Step-by-step explanation:
exterior angle rule:
an exterior angle of a triangle is equal to the two opposite interior angles
so m1= sum of opposite interior angles (69 and 33)
69+33=102
so m1 = 102
Help me out it was hard
In the given figure x = 145º. What theorem can be used to prove the lines p and a
are parallel?
A) Alternate interior angles converse theorem
B) Same side interior angles converse theorem
C) Alternate exterior angles converse theorem
D) Corresponding angles converse theorem
Answer:
C) Alternate Exterior Angles Converse Theorem
Step-by-step explanation: