Answer:
proper I believe if I'm wrong sorry
How do you rewrite p(x)=-5x2+120x-315 in vertex form
Answer:
[tex]p(x)=-5(x-12)^2+405[/tex]
Step-by-step explanation:
Hi there!
Vertex form: [tex]f(x)=a(x-h)^2+k[/tex]
[tex]p(x)=-5x^2+120x-315[/tex]
Factor out -5 from the first two terms
[tex]p(x)=-5(x^2-24x)-315[/tex]
Complete the square by adding [tex](\frac{24}{2} )^2[/tex] (the square of half of the x-coefficient)
[tex]p(x)=-5(x^2-24x+(\frac{24}{2} )^2)-315-(-5)(\frac{24}{2} )^2[/tex]
We're subtracting [tex](-5)(\frac{24}{2} )^2[/tex] because we need to keep the equation balanced and we can't just add new values.
Complete the square
[tex]p(x)=-5(x-(\frac{24}{2} ))^2-315-(-5)(\frac{24}{2} )^2[/tex]
Simplify
[tex]p(x)=-5(x-12)^2-315+720\\p(x)=-5(x-12)^2+405[/tex]
Summary:
Complete the squareSimplifyI hope this helps!
In ADEF, the measure of ZF=90°, DF = 40, ED = 41, and FE = 9. What ratio
represents the secant of ZE?
E
41
9
D
40
Answer:
sec(∠F) = [tex]\frac{41}{9}[/tex]
Step-by-step explanation:
In triangle EFD,
m∠F = 90°
Adjacent side of ∠E = EF = 9 units
Opposite side of ∠E = DF = 40 units
Hypotenuse = DE = 41 units
For secant of ∠E ,
sec(∠E) = [tex]\frac{\text{Hypotenuse}}{\text{Adjacent side}}[/tex]
= [tex]\frac{41}{9}[/tex]
Therefore, [tex]\frac{41}{9}[/tex] is the ratio of secant of ∠F.
what is the volume of a prism if the width is 8 the height is 6 and the length is 4
Answer: 48
Step-by-step explanation:
V = b x h
V = 8 x 6
V = 48
Andie is making bracelets. She will put 8 charms on each bracelet. There are 48 charms. How many bracelets can she make?
6 charms
6 bracelets
8 charms
6 bracelets
8 bracelets
Answer:
I'm pretty sure it would be 48 divided by 8 which would be 6
Step-by-step explanation:
how much will a person pay for 1.5 pounds of bananas at a price of .95 per pound
Answer:
1.425
Step-by-step explanation:
when 1pound is 0.95
then 1.5should be multiplied by 0.95
Construct and interpret a 95% confidence interval to estimate the proportion of the earth that is water. Show all work. Make sure to check your conditions and state your conclusion.
1.) Randomly selected
2.) Less than 10% of population
3.) 50 (0.68)
50 (0.32)
the answer would be 2
2. Marquan sells pretzels at Auntie Anne and earns $15 per hour,
(a) Write an expression to show the relationship between the number of hours
worked (h) and the total earnings.
(b) Use the expression to determine the amount of money he earns if he
worked for 2 hours (b) 3 hours (c) 5 hours
Yes
dollars per hour = salary
a
dollars per hours multiplied with hours worked (h) = total earnings
b
15 x 2 = 30
15 x 3 = 45
15 x 5 = 75
(h)
PLEASE HELP!!!!!!!!! With 9, 10 and 11
Answer:
9. 6.6
10. 6
11. 8.9
Step-by-step explanation:
Pythagorean theorem states that a^2 + b^2 = c^2 where a and b are legs, and c is the hypotenuse (the longest side of the triangle).
For the first one, you're given the leg (3.1 in) and the eg (5.8 in), so you can substitute those into the equation:
a^2 + b^2 = c^2
(3.1)^2 + (5.8)^2 = c^2
Then simplify
9.61 + 33.64 = c^2
43.25 = c^2
To isolate c, take the square root of both sides.
The square root of 43.25 is 6.57647322, but they want you to round it to the nearest tenth, so round it to 6.6
For the second one, you're given one leg length and the hypotenuse.
8^2 + b^2 = 10^2
64 + b^2 = 100
To solve for b, subtract 64 from both sides
b^2 = 36
and take the square root of both sides
b = 6
For the last one, you're given a leg length and the hypotenuse
a^2 + 4.3^2 = 9.9^2
a^2 + 18.49 = 98.01
to isolate a, subtract 18.49 from both sides
a^2 = 79.52
then take the square root of both sides
a = 8.91739872 which rounds to 8.9
Questlon 19
Solve 3(7x + 4)7 – 8 = -2. Write the solution as an exact value.
Answer:
-0.531
Step-by-step explanation:
(21x+12)7-8=-2
147x+84-8=-2
147x=-78
x=-0.531
Question #2
What is the value of the expression
35
?
23 – 1
A 5
B 7
C 12
Answer:
A. 5
Step-by-step explanation:
just use calculator tbh
HELP ME ON THIS PLEASEEEE!!!
The sum of Jahiem and his sister's age is 21. If Jahiem is 7 years older than his
sister, write and solve a system of equations using ) to represent Jahiem's age and s
to represent his sister's age
Step-by-step explanation:
ANSWER He is 14 and she is 7 because 21 - 7 is 14
What is the volume of a cylinder with radius 5 feet and height 6 feet?
Answer:
150π ft³
Step-by-step explanation:
Volume is ,
=> V = πr²h
=> V = π × (5 ft)² × (6 ft)
=> V = 25 × 6 × π ft³
=> V = 150π ft³
What is the distance, rounded to the nearest tenth, between the points (-2,4) and (6,-4)?
The college plans to use part of its land for a bicycle park.
The space for the bicycle park is rectangular 18 m by 4.8 m.
A rectangular space is needed for each bicycle.
0.6 m
Diagram not
accurately drawn
2 m
The builders think that 90 bicycles can fit in the bicycle park.
Are the builders correct?
Show a check of your working.
(4)
Answer:
No, only 72 bikes can fit
Step-by-step explanation:
18 x 4.8 is 86.4
2 x .6 is 1.2
86.4 divided by 1.2 is 72
there for only 72 bikes can fit
Can someone help fast please!!!!
Answer:
yes it is
Step-by-step explanation:
Someone please help with this!
Answer:
27/1
Step-by-step explanation:
3³=3·3·3=27
27=27/1
The net of a rectangular prism is shown.
8 in.
2 in.
2 in...-... 8 in......... 2 in.,
6 in.
2 in.:
What is the surface area of the rectangular prism?
O A. 60 square inches
O B. 94 square inches
O c. 96 square inches
OD. 152 square inches
O E. 200 square inches

How do you know how to set up a equation?
Answer:
Basic Steps to Setting Up Equations
-Determine what the question is asking.
-Write down the relevant information in simple statements.
-Assign symbols to unknown values that need to be found.
-Determine how the statements relate to each other mathematically.
Solving Story Problems
Story problems can contain lots of information, including details that are not necessary to solve the problem. Additionally, the problem may assume general knowledge on the reader's part, and not explain all the information explicitly. Writing that information down in a streamlined form is an efficient way to solve problems.
Step-by-step explanation:
What is the probability of rolling a 5 on a fair number cube 5 times in a row?
Answer:
Impossible
Step-by-step explanation:
Answer:
1/7778
Step-by-step explanation:
We multiply each event
1/6 x 1/6 x 1/6 x 1/6 x 1/6 =
1/36 x 1/36 x 1/6
= 1/7776
A triangular fence has sides that measure 11 yards, 30 yards, and 35 yards. What is the measure of the greatest angle that is formed? Round to the nearest whole degree.
Answer:
108°
Step-by-step explanation:
[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]
[tex]35^{2}[/tex] = [tex]11^{2}[/tex] + [tex]30^{2}[/tex]
[tex]\frac{204}{-660}[/tex] = [tex]\frac{-660 cos}{-660}[/tex]
cos = -0.309
The measure of the greatest angle in the triangular fence is approximately 108.5 degrees. To find the measure of the greatest angle in the triangular fence, you can use the Law of Cosines.
The Law of Cosines states:
[tex]c^2 = a^2 + b^2 - 2ab * cos(C)[/tex]
where c is the side opposite the angle C, and a and b are the other two sides of the triangle.
In this case, the sides of the triangle are:
a = 11 yards
b = 30 yards
c = 35 yards
Now, let's find the measure of angle C (the angle opposite the side with length 35 yards):
[tex]c^2 = a^2 + b^2 - 2ab * cos(C)\\35^2 = 11^2 + 30^2 - 2 * 11 * 30 * cos(C)\\1225 = 121 + 900 - 660 * cos(C)\\1225 = 1021 - 660 * cos(C)\\[/tex]
Now, isolate cos(C) by moving the terms around:
[tex]660 * cos(C) = 1021 - 1225\\660 * cos(C) = -204[/tex]
Now, divide by 660 to find cos(C):
[tex]\cos(C) \approx -0.3091[/tex]
Now, find the measure of angle C by taking the inverse cosine (cos^-1) of -0.3091:
[tex]C \approx cos^-1(-0.3091)\\C \approx 108.5 degrees[/tex] (rounded to one decimal place)
Since this is the angle opposite the side with length 35 yards, it is the greatest angle in the triangle.
So, the measure of the greatest angle in the triangular fence is approximately 108.5 degrees.
To know more about angle:
https://brainly.com/question/30147425
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-2(t+7)=-4t+12 what is the value of t
9514 1404 393
Answer:
13
Step-by-step explanation:
-2(t +7) = -4t +12
t +7 = 2t -6 . . . . . . . divide by -2
13 = t . . . . . . . . . . . . add 6-t
Write an equation of a line in slope-intercept form given the slope (m) and the y-intercept (b).
Answer: B y = -4/7x + 7
Step-by-step explanation:
The equation in the form y = mx + b
m = -4/7 and b = 7
Equation: y = -4/7x + 7
Evaluate the following equation when I =17 and w = 12 for 21 +2w
Answer:
45
Step-by-step explanation:
21 + 2w
21 + 2(12)
21 + 24
45
answer:
58
step-by-step explanation:
i think you meant to put 2L + 2W and not 21 + 2Wfor this plug in,
2(17) + 2(12)
34 + 24 = 58
Maya is a plumbing engineer who works with Overflo clients on residential plumbing and field draining and irrigation projects. Overflo closely supervises all of its engineers, and dictates their work schedules. Noel works part-time in the evenings cleaning the offices and warehouse. To Noel is Overflo's:_____.
a. employee, agent and independent contractor.
b. employee and agent.
c. agent to Overflo's customers.
d. independent contractor only.
how to work XYZ company's cost function for the next four months is c=500,000+5Q .. If, because of strike, the most the company can produce is br. 100,000 units, should it shutdown? Why or why not?
Answer:
(A) So since BE means cost = revenue, you just need to solve
6Q = 500,000 + 5Q
(B) they told you at the top what the 4-month cost is. That is still true, even if Q=0
(C) find revenue for 100,000. If less than cost, shut down.
The perimieter of parallelogram ABCD is 86cm. AD is 4cm more than twice AB. Find the length of BC.
Answer: 30
Step-by-step explanation: i’m not sure but my hw says it’s right
the width of a rectangle is 2 m less than the length. if the area of the rectangle is 48sq meters. what is the length and width
4) Edgar builds a sand castle with a rectangular base. The side lengths of the base are 25 in, and 16 in. He wants
to surround the castle's base with a moat that is w inches wide. Write a quadratic function, A, in standard form to
represent the combined area taken up by the castle and the moat.
16in.
25 in.
Answer:
4w² + 82w + 400
Step-by-step explanation:
A polynomial is an expression consisting of variables and coefficients involving addition, subtraction, multiplication, and non-negative integer exponentiation of variables. A quadratic function is a polynomial of degree 2. The standard form of a quadratic equation is:
ax² + bx + c
The moat has width of w inch. Therefore:
combined width of castle and moat = 16 in + w in + w in = 16 + 2w in
combined length of castle and moat = 25 in + w in + w in = 25 + 2w in
The combined area = length * width = (16 + 2w)(25 + 2w) = 400 + 32w + 50w + 4w² = 4w² + 82w + 400
Answer:
A(w) = 4 w^2 + 82 w + 400
Step-by-step explanation:
Person above me is correct. :)
I am lost and need help asap!
Answer:
<CED = 58°
Step-by-step explanation:
Let <CED = x
We can obtain the value of x as illustrated below:
<CED + 122 = 180 (angles on a straight line)
x + 122 = 180
Collect like terms
x = 180 – 122
x = 58°
<CED = x
x = 58°
Thus,
<CED = 58°
ANSWER ASAP PLZZZZZ
NEED HELP WITH THIS QUESTION
Answer:
x=-3
Step-by-step explanation: