Answer:
$8.64
Step-by-step explanation:
Divide 3.24 by three to get the codt of one bottle,$1.08. multiply $1.08 by 8 and we get $8.64.
Evaluate the
determinant.
Answer:
I think it's 21
Step-by-step explanation:
What’s the common factor for 72 and 84
Answer:
Step-by-step explanation:
This is the general method for doing this problem. First factor these numbers into primes.
72: 2 * 2 * 2 * 3 * 3
84: 2*2 * 3 * 7
Now each number has at least two 2s
Each number has at least one 3
The highest common factor is 2 * 2 * 3 = 12
The graph of F(x), shown below, resembles the graph of G(x) = x^2?, but it has
been changed somewhat. Which of the following could be the equation of
F(x)?
Answer:
D
Step-by-step explanation:
Slope is negative, derivative of x shows that -3 is the maximum in C/D but C is not negative
The function F(x) = -3(x + 3)^2 + 3.
The correct option is (D).
What is a Function?A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). A variable y is said to be a function of the independent variable x if there is a relationship between them.
As per the given data:
We are given the equation of the functions G(x) and we have to find out the equation of the function F(x).
Equation of G(x) = x^2
For a left shift of 3 units x → x + 3.
⇒ y = (x + 3)^2
For a change in concavity, if the curve, multiply by -3.
⇒ y = -3(x + 3)^2
For an up shift of 3 units y → y -3.
⇒ y - 3 = -3(x + 3)^2
The function F(x) comes out to be:
F(x) = -3(x + 3)^2 + 3
Hence, The function F(x) = -3(x + 3)^2 + 3.
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Jason and his twin brother, Seth, are painting the walls in their bedroom. It took Jason 50 minutes to paint a 160-square-foot wall. It took Seth 30 minutes to paint a 120-square-foot wall. Who painted faster?
Answer:
Jason
Step-by-step explanation:
Answer:
It's Seth
Step-by-step explanation:
Given the points P(2, –6) and R(8, 3), what is the component form of Vector PR?
- ⟨6, -3⟩
- ⟨10, -3⟩
- ⟨6, 9⟩
- ⟨10, 9⟩
Answer:
the third one
Step-by-step explanation:
jsut took it
Answer:
It’s C
Step-by-step explanation:
4/5 divided by 1/5 in unit form
Answer:
answer to your question is 4
Hellllp please asap
Please someone help me.
Answer:
Option C is the only correct answer.
Step-by-step explanation:
We can see from the number line that a is to the left of zero, so it is negative. This means option A is incorrect.
Since b is to the left of zero, b is also negative. This means that -b is positive. Since c is to the left of zero, c is negative. Therefore, option B is incorrect: a negative number can never be greater than a positive number.
We see from the number line that a is less than c. Since both a and c are negative, this implies that -a > -c. Therefore, option C is correct.
Calculate the value of k for which the polynomial equation f(x)=x^3-kx+12 has the root of x=-4
If x = -4 is a root of f(x), then dividing f(x) by x + 4 leaves a remainder of 0.
Compute the quotient,
(x³ - kx + 12) / (x + 4)
x³ = x² • x, and
x² (x + 4) = x³ + 4x²
Subtract this from the dividend (f(x)) to get an initial remainder of
(x³ - kx + 12) - (x³ + 4x²) = -4x² - kx + 12
-4x² = -4x • x, and
-4x (x + 4) = -4x² - 16x
Subtract this from the previous remainder to get a new one of
(-4x² - kx + 12) - (-4x² - 16x) = (16 - k) x + 12
(16 - k) x = (16 - k) • x, and
(16 - k) (x + 4) = (16 - k) x + 64 - 4k
which gives the next remainder,
((16 - k) x + 12) - ((16 - k) x + 64 - 4k) = 4k - 52
4k - 52 does not divide x, so we're done and what we've shown is
f(x) / (x + 4) = x² - 4x + 16 - k + (4k - 52)/(x + 4)
(just gathering the bold terms above and the last remainder)
The remainder should be 0, so that
4k - 52 = 0
4k = 52
k = 13
A store is having a sale with a 19% discount on all merchandise. Write an
equation representing between the regular cost of merchandise (r) and
the discount received (d).
Your answer
Answer:
3
Step-by-step explanation:
Abbey receives a $40 gift card for downloading music and wants to determine how many songs she can purchase. Each downloaded song costs $2.89 a. Let m represents the number of songs downloaded. Write an inequality that represents this given situation? b. What is the maximum number of songs Abbey can download?
Answer:
A. $2.89(m)=$40
B. 13 songs
Step-by-step explanation:
$2.89(m)=$40
m=$40/$2.89
m=13.84
She can download a maximum of 13 songs
Check:
$2.89 (13 songs)=$37.57
$40-$37.57=$2.43 left on her gift card
m=13.84, check that 0.84 of the cost of a song is left over 0.84*$2.89=$2.43
Answer:
13 songs
Step-by-step explanation:
40 divided by 2.89 is 13.84. DO NOT ROUND TO 14
So its a maximum of 13 songs, otherwise it will cost 40.46 for 14 songs
An above-ground garden is in the shape of a rectangular prism measuring 5 feet by 8 feet by 1.5 feet. The organic soil costs $1.20 per cubic foot. How much will it cost to fill the above-ground garden fully?
Answer:$72.00
Step-by-step explanation: To find the volume you do 5×8×1.5 which equals 60. Then you multiply 60 by 1.20 to find your total cost. Answer is 72
(1 point) A pond contains 100 fish, of which 40 are carp. If 20 fish are caught from the lake, what are the mean and variance of the number of carp among those 20
Answer:
E(X) = 6
Var(X) = 3.394
Step-by-step explanation:
Let X represent the number of carp caught out of the 20 fishes caught. Now, if we are to assume that each
of the (100, 20) ways to catch the 20 fishes will be equally likely.
Thus, we can say that X fulfills a hypergeometric
distribution with parameters as follows;
n = 20, N = 100, k = 30
Formula for expected mean value in hypergeometric distribution is;
E(X) = nk/N
E(X) = (20 × 30)/100
E(X) = 6
Formula for variance is;
Var(X) = (nk/N) × [((n - 1)(k - 1)/(N-1))) + (1 - nk/N)]
Var(X) = ((20 × 30)/100) × [((20 - 1)(30 - 1)/(100 - 1)) + (1 - (20 × 30/100)]
Var(X) = 6 × 0.5657
Var(X) = 3.394
What is the y intercept of y =4x
Answer:
origin of the graph (0)
Step-by-step explanation:
because it does not have a b value it is zero if there is no plus or minus a number at the end it is always 0 when dealing with the y=mx+b equation
Help me I’m not sure the answe
Answer:
i believe it would be the last option.
Step-by-step explanation:
expand 2 + 4 how do i do this
Answer:
6
Step-by-step explanation:
You could expand t to 1+1+1+1+1+1 which would give you 6.
Answer:
2+4=6
Step-by-step explanation:
1. Explain the difference between circumscribed angles and inscribed angles in relationship to a circle.
2. Explain, in your own words, the steps required to convert any equation of a circle into standard form be completing the square.
3. Explain/define the following terms, or draw a picture and label the terms.
a. radius
b. diameter
c. chord
d. secant
e. tangent
f. point of tangency
9514 1404 393
Explanation:
1. Consider the attachment. Angle CDF is a circumscribed angle. It is formed at the intersection of two tangents to the circle. Angles BCE, CBE, and BEC are inscribed angles. Their vertices are on the circle, and they are formed by two chords.
If a chord degenerates to zero length, the ray it represents with respect to an inscribed angle becomes a tangent. That is, angles BCD and ECD can also be considered to be inscribed angles. Similarly, straight angle DFG at tangent point F can be considered to be a degenerate case of both an inscribed angle and a circumscribed angle. (Some authors may not include degenerate cases in their definitions. YMMV)
__
2. The general form of the equation of a circle is ...
Ax² +Ay² +Dx +Ey +F = 0
Any equation of a circle can be put in this form. If we divide by A, this can be written as ...
x² +y² -2hx -2ky +c = 0 . . . . where h = -D/(2A), k = -E/(2A), c = F/A
and the equation can be further transformed to the standard form ...
(x -h)² +(y -k)² = r² . . . . . where r² = h² +k² -c
The last equation is the result of "completing the square" by adding h² and k² to both sides of the second equation shown. The values of h and k are as shown above, given the coefficients of the general form equation.
__
3. Again refer to the attached diagram.
a) a radius is a line segment with the circle center at one end and a point on the circle at the other end. AB and AC are radii.
b) A diameter is a line segment whose ends are on the circle and whose midpoint is the center of the circle. BC is a diameter.
c) A chord is a line segment whose end points lie on the circle. BC, BE, and CE are chords.
d) A secant is a line containing two points of the circle. Lines CG and CE are secants.
e) A tangent is a degenerate case of a secant in which the two points of intersection merge to one point of intersection. It is a line that touches the circle at exactly one point, the point of tangency. DG and DC are tangents.
f) The point of tangency is the single point where a tangent intersects a circle. A radius to the point of tangency (such as AC) is always perpendicular to the tangent line (DC).
20) Solve the problem. Suppose that 12 unique names are put into a hat and drawn at random without
replacement. How many different ways can you draw all of the names from the hat? Remember that
"without replacement" means that the names are not returned to the hat after they are chosen. Write your
answer in factorial notation.
SHOW WORK: None to be shown
A) 12!
B) 11!
C) 10!
D) 12! - 1
the answer would be A) 12 because there are only twelve names
The number of different ways is 12! you can draw all of the names from the hat without replacement option (A) 12! is correct.
What are permutation and combination?
A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.
It is given that:
Number of unique names = 12
That 12 unique names are put into a hat and drawn at random without
replacement.
"Without replacement" means that the names are not returned to the hat after they are chosen.
Number ways (without replacement) = 12x11x10x9x8x7x6x5x4x3x2x1
Number ways (without replacement) = 12!
Thus, the number of different ways is 12! you can draw all of the names from the hat without replacement option (A) 12! is correct.
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5. Which is the best first step to solve 5x+12x = 40 by completing the square?
A. Subtract 40 from both sides.
B. Divide all terms by 12.
C. Divide all terms by 5
D. Divide 12 by 2
Answer:
B
Step-by-step explanation:
To make the perfect square the first step is Subtract 40 from both sides option (A) is correct.
What is a quadratic equation?Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
As we know, the formula for the roots of the quadratic equation is given by:
[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]
The complete question is:
Which is the best first step to solve 5x²+12x = 40 by completing the square?
A. Subtract 40 from both sides.B. Divide all terms by 12.C. Divide all terms by 5D. Divide 12 by 2We have a quadratic equation:
5x²+12x = 40
To make the perfect square:
First, subtract 40 from both sides.
5x²+12x - 40 = 40 - 40
5x²+12x - 40 = 0
Thus, to make the perfect square the first step is Subtract 40 from both sides option (A) is correct.
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A seven-person relay team completed a race in 84.7 seconds. On average, what was each runner's time?
Answer:
12.1 seconds
Step-by-step explanation:
84.7/7 = 12.1
Answer:
12.1
Step-by-step explanation:
Divide the 84.7 by the # of people on team (7)
need help asap
Google maps determines that a destination is 50 miles away and that the average speed of a car in this area is 23.2 miles/hour. How long should Google maps predict it will take you to drive to your destination?
Answer:
2 hours, 9 minutes (and 19 seconds if u wanna be exact)
Step-by-step explanation:
A barrel of 20 apples has 2 rotten apples and 18 good apples. 7 apples are selected at random from the barrel. What is the expected number of good apples selected
Answer:
Expected value = 7 x 0.9 = 6.3
Step-by-step explanation:
Probability of getting a good apple is 18/20 = 0.9
Probability of getting a bad apple is 2/20 = 0.1
This follows a binomial distribution because either you get a good apple or a bad apple.
The expected value of a binomial distribution is given as n*p where n is number of trials and p is the probability of success.
In this case our number of trials is 7 and the probability of success is 0.9, since the trials are for getting good apples.
Hence
n = 7
p = 0.9
Expected value = 7 x 0.9 = 6.3
Solve the inequality
Ms. cooper goes to Panera Bread for dinner and orders the Green Goddess salad. Her total was $8.79. Ms. cooper gave the cashier $10, how much change did she receive?
A 6.50% coupon bond with 18 years left to maturity is offered for sale at $1,035.25. What yield to maturity [interest rate] is the bond offering? Assume interest payments are paid semi-annually, and solve using semi-annual compounding. Par value is $1000.
Answer:
The yield to maturity is 6.3974%
Step-by-step explanation:
The computation of the yield to maturity is as follows
Given that
NPER = 18 × 2 = 36
PMT = $1,035.25 × 6.50% ÷ 2 = $33.65
PV = $1,035.25
FV = $1,000
The formula is shown below:
=RATE(NPER;PMT;-PV;FV;TYPE)
The present value comes in negative
AFter applying the above formula, the yield to maturity is
= 3.1987% × 2
= 6.3974%
Hence, the yield to maturity is 6.3974%
You have $500, sale price is $435. How much change will you get
Answer:
go to sleep its 11:23 also u will get
$65 dollars pls mark me brainleist
Step-by-step explanation:
3. Simplify the following inequalities.
Answer:
7x+7 > 23-x
group like terms
7x+ x > 23-7
8x > 16
we divide both side by
8x > 16
8 8
so 8 cancelled out 8 living
x > 16
8
x > 2
8
we
Write an Equivalent Expression by combining like terms for 2x+3x+y+2y
Answer:
5x+3y
Step-by-step explanation:
2x+3x=5x since they have the same variable.
y+2y
1y+2y u can put a 1 so that would be 3y
5x+3y
In an election for school president, the loser received 70% of the winner's votes. If 969 votes were cast, how many did each receive?
Answer:
The ans would be 291 (however we can round this off to 290 as no can partially vote as 0.1)
Step-by-step explanation:
We can easily find the loser's vote by-
70% of 969= 678.9
now, all we need to do is find the winners vote
we know that the total no. of votes= 969 & we know the no. of votes loser got
so, subtracting the losers vote from 969 would give us the remaining no. of votes (the winner's votes)....so,
969-678.9=290.1
we can round this off to 290
PLEASE HELP ME!!!!!! Write the information in the table as ordered pairs. Graph the relationship from the table.
Answer:
(3, 60) (5, 100) (8, 160) (9, 180) (12, 240)
Step-by-step explanation:
