Answer:
P = -16(x -28)² +1024
Step-by-step explanation:
The equation can be written in vertex form as ...
P = -a(x -h)² +k
where (h, k) is the vertex, and 'a' is a scale factor. We are given the vertex (h, k) = (28, 1024) and another point (x, P) = (10, -4160). Using these points, we can find the value of 'a'.
-4160 = -a(10 -28)² +1024
-5184 = -324a . . . . simplilfy
a = 5184/324 = 16 . . . . divide by the coefficient of 'a'
A suitable quadratic relation is ...
P = -16(x -28)² +1024
Loto begins at his back door and walk 8 yards east, 6 yards north, 12 yards east, and 5 yards north to the barn door. About how many yards less would he walk if he could walk directly from the back door to the barn door?
If he could walk directly from the back door to the barn door, he would walk 10.2 yards less.
First, let's define our coordinate axis, I will use north as the y-axis and east as the x-axis.
So let's assume that Loto begins at the point (0, 0).
Then:
He moves 8 yards east, to: (8yd, 0)He moves 6 yards north, to: (8yd, 6yd)He moves 12 yards east, to: (20yd, 6yd)He moves 5 yards north, to: (20yd, 11yd)So he walked a total of 8yd + 6yd + 12yd + 5yd = 33yd
So he just moves from (0, 0) to (20yd, 11yd), thus the displacement is:
[tex]D =\sqrt{(20yd - 0yd)^2 + (11yd - 0yd)^2} = 22.8ft[/tex]
So, if he could walk directly he would only walk 22.8 ft
The difference is:
33yd - 22.8yd = 10.2 yd.
He would walk 10.2 yards less if he could walk directly from the back door to the barn door.
If you want to learn more about displacements, you can read:
https://brainly.com/question/13271165
Given ABCD, solve for x.
A. 11
B. 13
C. 14
D. 12
Answer:
Step-by-step explanation:
Because you have a parallelogram, the two angles shown are "same side interior angles" which means they add up to 180°.
We would say that they are supplementary (they add up to 180°)
So add them together and set them equal to 180°
(4x+18) + (8x+30) = 180°
This is all adding, so we dont really need any of these parenthesis.
4x+18+8x+30=180
Add the x terms together and add the constants (plain numbers) together.
12x + 48 = 180
Subtract 48 from both sides of the equation.
12x = 132
Divide both sides by 12
x = 11
20x9 and I need help I don’t do math so can u help me
Answer:
180
Step-by-step explanation:
So you can get rid of the zero in the 20 for now and just solve 2 x 9, which is 18. Now you take the zero you got rid of earlier and put it at the end of 18 to get 180.
I hope this helps.
Answer:
180
Step-by-step explanation:
There is two ways you can do this. You can do:
20
x 9
180
This is because you multiply from right to left. 0 x 9 = 0 (anything x 0 always = 0.) And 2 x 9 = 18.
The second way takes a lot longer, but it works. You could do:
20 + 20 + 20 + 20 + 20 + 20 + 20 + 20 + 20 = 180.
Hope this helps.
Is (9, –6) a solution to this system of inequalities?
17x + 12y > 19
10x + 5y > –13
Answer:
Yes
Step-by-step explanation:
( 9 , -6 )
17(9) + 12(-6) > 19
153 + (-72) > 19
81 > 19
10(9) + 5(-6) > -13
90 + (-30) > -13
60 > -13
Anita's, a fast-food chain specializing in hot dogs and garlic fries, keeps track of the proportion of its customers who decide to eat in the restaurant (as opposed to ordering the food "to go"), so it can make decisions regarding the possible construction of in-store play areas, the attendance of its mascot Sammy at the franchise locations, and so on. Anita's reports that 52% of its customers order their food to go. If this proportion is correct, what is the probability that, in a random sample of 5 customers at Anita's, exactly 4 order their food to go?
Round your response to at least three decimal places
Using the binomial distribution, it is found that there is a 0.1755 = 17.55% probability that, in a random sample of 5 customers at Anita's, exactly 4 order their food to go.
For each customer, there are only two possible outcomes, either they order their food to go, or they do not. The orders of each customer are independent of other customers, hence, the binomial distribution is used to solve this question.
Binomial probability distribution
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes. n is the number of trials. p is the probability of a success on a single trial.In this problem:
52% of its customers order their food to go, hence [tex]p = 0.52[/tex].Random sample of 5 customers, hence [tex]n = 5[/tex].The probability that exactly 4 order their food to go is P(X = 4), hence:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 4) = C_{5,4}.(0.52)^{4}.(0.48)^{1} = 0.1755[/tex]
0.1755 = 17.55% probability that, in a random sample of 5 customers at Anita's, exactly 4 order their food to go.
To learn more about the binomial distribution, you can take a look at https://brainly.com/question/24863377
What is the recursive rule for this geometric sequence?
2, 1/2, 1/8, 1/32
Enter your answers in the boxes.
an= __ *an-1
a1=__
Answer:
an = 1/4 * an-1
a1 = 2
Step-by-step explanation:
2, 1/2, 1/8, 1/32
To find the common ratio, take the second term and divide by the first term
1/2 ÷ 2
1/2 * 1/2
1/4
The common ratio is 1/4
1/2 * 1/4 = 1/8 and 1/8 *1/4 = 1/32
The first term is a1 so a1 = 2
an = the common ratio * an-1
an = 1/4 * an-1
Answer:
Below.
Step-by-step explanation:
The common ratio = 1/2 / 2 = 1/2 * 1/2 = 1/4.
Also 1/8 / 1/2 =2/8 = 1/4 and 1/32 / 1/8 = 1/32 * 8 = 1/4
an = 1/4 * an-1 is the answer.
one fifth of sum of two angles is 24 and their diffetence is 14 find the two angles
Answer:
Angles are [tex]67^0,53^0[/tex]
Step-by-step explanation:
Let the angles be [tex]x,y[/tex]
One fifth of sum of two angles is 24
[tex]\frac{x+y}{5} =24\\\\x+y=120[/tex]
The difference is [tex]14[/tex]
[tex]x-y=14[/tex]
[tex]2x=134\\\\x=67^0[/tex]
[tex]y=120-67\\\\=53^0[/tex]
Hey mathematicians ! Can anyone help me with these problems please ! Will give brainly !
Answer:
77) YES , 78) YES , 79) NO , 80) YES
Step-by-step explanation:
77) 12/4=3 and 18/6=3 so YES
78) 30/6=5 and 40/8=5 so YES
79) 36/25=1.44 and 48/40=1.2 so NO
80) 15/5=3 and 13.8/4.6=3 so YES
Fill in the blank with the correct factor, dividend, divisor or product to complete the number sentence correctly. ____ divided by 1.5 = (-6)
Answer:
the answer is negative nine
Schedule of Cash Payments
Shakti Power Inc. was organized on February 28. Projected selling and administrative expenses for each of the first three months of operations are as follows:
March
$68,000
April
77,000
May
88,000
Depreciation, insurance, and property taxes represent $5,000 of the estimated monthly expenses. The annual insurance premium was paid on February 28, and property taxes for the year will be paid in Online file. Open the spreadsheet, perform the required analysis, and input your answers in the question below.m
dAnswer:
fffff
Step-by-step explanation:ff m
How is compound interest different from simple interest?
O A. Compound interest accrues on the down payment as well as the
principal.
B. Compound interest accrues only on the initial amount borrowed.
C. Compound interest accrues daily, monthly, or quarterly rather than
annually.
D. Compound interest accrues on the interest, as well as the
principal.
Answer:
D. Compound interest accrues on the interest, as well as the
principal.
Answer:
D. Compound interest accrues on the interest, as well as the
principal.
Step-by-step explanation:
Let |u| = 10 at an angle of 45° and |v| = 13 at an angle of 150°, and w = u + v. What is the magnitude and direction angle of w?
|w| = 9.4; θ = 72.9°
|w| = 9.4; θ = 107.1°
|w| = 14.2; θ = 72.9°
|w| = 14.2; θ = 107.1°
Recall that for two vector x and y making an angle θ with each,
x • y = ||x|| ||y|| cos(θ)
If we replace y with x, we see that
x • x = ||x|| ||x|| cos(0) = ||x||² ⇒ ||x|| = √(x • x)
Using the last identity, the magnitude of w is
||w|| = √(w • w)
but since w = u + v, we have
w • w = (u + v) • (u + v)
The dot product distributes over sums and is commutative, so
w • w = (u • u) + (u • v) + (v • u) + (v • v)
… = ||u||² + 2 (u • v) + ||v||²
… = ||u||² + 2 ||u|| ||v|| cos(θ) + ||v||²
If u has a direction of 45° with the positive x-axis, v has a direction of 150°, then the angle between u and v is |45° - 150°| = 105°. So,
||w|| = √(||u||² + 2 ||u|| ||v|| cos(150°) + ||v||²)
… = √(10² + 2 • 10 • 13 cos(150°) + 13²)
… ≈ 14.2
Using the parallelogram rule for vector addition (see attached sketch), the sum of the angle between w and u and 45° is equal to the direction of w.
If φ is the angle between w and u, then
w • u = ||w|| ||u|| cos(φ)
… = 14.2 • 10 • cos(φ)
but we also have
w • u = (u + v) • u
… = (u • u) + (v • u)
… = ||u||² + ||u|| ||v|| cos(105°)
… = 10² + 10 • 13 • cos(105°)
… ≈ 66.4
Then
14.2 • 10 • cos(φ) ≈ 66.4
cos(φ) ≈ 0.467
φ ≈ 62.1°
and so the direction of w is 62.1° + 45° ≈ 107.1°.
PLEASE HELP ME IN THIS QUESTION THE ASSIGNMENT IS DUE IN 2 MINUTES
[tex]2 \frac{2}{3} + 3 \frac{1}{3} + 1 \frac{2}{3} [/tex]
aaaaaaaaaadddddddd
~nightmare5474~
[tex]2\frac{2}{3} + 3\frac{1}{3} + 1\frac{2}{3} = 7\frac{2}{3} [/tex]
let's convert each mixed fraction into improper fractions. Therefore,
What are Improper fractions:Improper fractions are fractions that has the numerator bigger than the denominator.
[tex]2\frac{2}{3} = \frac{8}{3} [/tex]
[tex]3\frac{1}{3} = \frac{10}{3} [/tex]
[tex]1\frac{2}{3} = \frac{5}{3} [/tex]
Therefore,
[tex]\frac{8}{3} + \frac{10}{3} + \frac{5}{3} [/tex]
[tex] \frac{8}{3} + \frac{10}{3} + \frac{5}{3} = \frac{8 + 10 + 5}{3} = \frac{23}{3} [/tex]
Let's convert our answer back to mixed fractions
[tex]\frac{23}{3} = 7\frac{2}{3} [/tex]
learn more on fraction here:https://brainly.com/question/25412?referrer=searchResults
the product of seven non-zero factors. of which only three are positive. is
a) positive
B) negative
c) null
The answer is A
Step-by-step explanation: This is one of those sneaky questions where you think there is no definite answer, but don't despair. There is an answer. You have 7 numbers 3 of them are positive which means greater than 0. Let's pick them 345 = 60 That part's easy. Those 3 numbers give a plus result. Now try the other 4 numbers -3 -2 - 1-4 Do you see what's going to happen. You have -3* - 2 = 6 then you get - 1*-4 = 4 All of a sudden you get a positive result 6 * 4 = 24 60 * 24 = 1440 So the answer is any 3 plus numbers multiplied by 4 minus numbers gives a plus result.
Of 7 non-zero factors, 3 are positive, so the other 4 are negative. Multiplying two negatives gives a positive number. So on its own, the product of all the negatives is positive, and multiplying by the other 3 positive numbers makes the overall product positive.
Mrs Ang bought k apples at 50% each from a supermarket. How much
change did she receive if she paid $10 to the cashier? Express your answer
in cents.
Answer:
The apples may have costed 0.50 cents each, and she may have bought 10, which would result in her paying 10 dollars, and receiving 5 dollars in change.
Step-by-step explanation:
Multiply 10 (the amount she gave to the cashier) by 0.50%, it equals 5, so that's how much she paid, and since she gave a 10 dollar bill, she should get 5 dollars in change.
T^T
Help Meh I need it SOON
Step-by-step explanation:
the option you chose (<C~=<Y) is absolutely correct.
I have 100 points
i need some help!!
Answer:
6c+2(5-7c)=6c+10-14c
=10-8c=-8c+10A. -8c+10 is correct option.
Thanks :)Help anyone?? Not that hardd
no links ! :(
Answer:
1.2
Step-by-step explanation:
First, you cancel out [tex]\frac{6}{20}[/tex] to become [tex]\frac{3}{10}[/tex]
Then that becomes [tex]-\frac{3}{10}+1.5[/tex]
Now, you convert the element to a decimal form to be [tex]-0.3+1.5[/tex]
Finally, you subtract them (because a negative plus a positive is subtraction) to get the final answer of 1.2
Hope this helps!
Macy's is having an unbelievable sale this holiday season! All shirts are 205 off and all jeans are 25% off. How much would jeans cost after the sale if they had a price tag of $60?
Step-by-step explanation:
100% - 25% off = 75%
Here, 75% of the initial price X, is the sale price of jeans during the season which is $60.
75/100 × X = $60
75X/100 =$60
( cross multiply)
75X=100×60
75X= 6000
X=6000÷75
X= $80
A set of data has a correlation coefficient of 0.05. What is the best way to describe the correlation of the data set
A strong negative correlation
B strong positive correlation
C weak postive correlation
D little or no correlation
Please help me with this
Answer:
The measure of <Y = 85 degrees
Step-by-step explanation:
you can solve this problem algebraically if you know that the sum of the interior angles of a triangle is 180 degrees.
if you add all of these angles and set them equal to 180, you can find what "a" is.
a+2a+a+10=180 so 4a+10=180 so a is 42.5 (which is equal to angle x)
then looking at all of the options, it can be seen that the first two options are incorrect because angle x is equal to 42.5 degrees.
you know that angle y is equal to 2a, so multiplying "a" by two, you can find that angle y is 85 degrees.
Given that in ABC, angle C is 12 less than 4 times x, angle A is 11 more than twice x, and angle B is 8 less than 3 times x. Find the m of angle
C
Answer:
m∠C = 72°
Step-by-step explanation:
The sum of the angles in the triangle is 180°.
A +B +C = 180°
(2x +11)° +(3x -8)° +(4x -12)° = 180°
9x = 189 . . . . . . . . divide by °, add 9
x = 21 . . . . . . . . . divide by 9
Angle C is ...
(4x -12)° = (4(21) -12)° = 72° . . . . angle C
_____
Additional comment
Angle A is 53°; angle B is 55°.
A liquid mixture of 56 ounces contains 14 ounces of sugar and the rest is water. What is the ratio of sugar to water
in the mixture?
Divide: 1/2÷1/10
SHOW WORK
Answer:
5
Step-by-step explanation:
1/2÷1/10=
1/2x10/1=
10/2=5
Answer:
the answer is 5
Step-by-step explanation:
keep change flip
1/2 x 10 =5
Elizabeth buys a package of 360 marbles. she gives away 216 of the marbles. what percent of the marbles did Elizabeth give away. SHOW WORK
Answer:
60%
Step-by-step explanation:
216/360 = 0.6
0.6 *100 = 60
60%
The percent of the marbles did Elizabeth give away is 60%.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Given that, Elizabeth buys a package of 360 marbles and she gives away 216 of the marbles.
Now, the percentage is 216/360 ×100
= 0.6×100
= 60%
Therefore, the percent of the marbles Elizabeth give away is 60%.
To learn more about the percentage visit:
brainly.com/question/24159063.
#SPJ1
Need help pls! Answer asap
Answer:
1. 50
2. 130
Step-by-step explanation:
If we number the angle opposite 2 as 3 we know that angle 3 is equal to the 130 already provided.
Therefore, resulting in number 2 being equal to angle 3.
If we know that angle 2 and 3 is 130, we should add the numbers together to get 260.
A circle has a degree of 360, so we minus 260 from the 360.
We would get 100, so we divide it by 2.
Thus, angle 1 would be equivalent to 50.
Hope this makes sense :)
Jasmine is scuba diving at an elevation of −68.4 feet when her friend signals to come higher. Jasmine makes three ascents, each an equal distance, to reach an elevation of −15.6 feet, where her friend is located. What was Jasmine's elevation after her first ascent? Enter your answer as a decimal in the box.
Answer:
-35.2
Step-by-step explanation:
-68.4-(-15.6)= (-52.8)
-52.8÷3=(-17.6)
-52.8-(-17.6)=-35.2
Answer:-35.2
Step-by-step explanation:
50pt Which of the following are maximum and minimum points of the function y=sin(x+ π)?
Answer:
none of the above
Maximum (3π/2, 1); Minimum (π/2, -1)
Step-by-step explanation:
The sine function is shifted left 1/2 cycle by the addition of π to x in the argument. That basically inverts the function, so it is equivalent to ...
y = -sin(x)
This has a minimum of -1 at π/2, and a maximum of +1 at 3π/2. This does not match any of the offered answer choices.
__
You might want to discuss this question with your teacher.
Answer:
The correct answer is C!
Step-by-step explanation:
The dude that said there’s no answer doesn’t know what he’s talking about.
End of semester geometry Semester A question 6
Select the correct answer.
Given:
Prove:
By the linear pair theorem, is supplementary to . Since , by the definition of congruence, . Applying the substitution property of equality, . Simplifying the equation, .
What step is missing from this proof?
A.
is supplementary to by the transitive property.
B.
by the definition of supplementary angles.
C.
by the definition of congruence.
D.
by the linear pair theorem.
Answer:
by the definition of congruence.
Step-by-step explanation:
for plato