Hi! To solve this problem, your first step is to:
c2
Simplify ———
v27
The Equation is at the end of step 1: c2
(v3) • ———
v27
Now STEP 2:
Dividing exponential expressions :
2.1 v3 divided by v27 = v(3 - 27) = v(-24) = 1/v24
After we done this, your Final result is: c2
———
v24
EZ QUESTION - FREE BRAINLIEST: Write the equation of the parabola that has the vertex at point (−2,7) and passes through the point (−1,3).
Answer:
Step One
Use the vertex to determine the basic equation for the parabola.
y = a(x - 2)^2 + 7 Notice the sign change for x. I have provided a graph to show how this would look with a = 1 (in red.)
What it means is the 2 has to be minus in order that the vertex will shift 2 units in the x direction.
Step Two
Use the point to solve for a.
y = a(x - 2)^2 + 7
When x = - 1
Then y = 3
3 = a(-1 - 2)^2 + 7 combine -1 with - 2
3 = a (-3)^2 + 7
3 = 9a + 7 Subtract 7 from both sides
3 - 7 = 9a
-4 = 9a Divide by 9.
a = -4/9
or
a = - 0.4444
y = -0.4444(x + 2)^2 + 7 <<<<< answer
y = - 4/9 (x + 2)^2 + 7
Note: if you have choices, list them please.
Note: The red graph is y = (x - 2)^2 + 7 ; a = 1
The blue graph is y = - 4/9(x - 2)^2 + 7 ; a = - 0.44444
1 It widens the graph
jcherry99 avatar
It turns the graph upside down. The next one is the tough one.
jcherry99 avatar
It gives the parabola two real roots.
jcherry99 avatar
If you thought of others, so much the better.
Step-by-step explanation:
Answer:
y = - 4x² - 16x - 9
Step-by-step explanation:
the equaion 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
here (h, k ) = (- 2, 7 ) , then
y = a(x + 2)² + 7
to find a substitute (- 1, 3 ) into the equation
3 = a(- 1 + 2)² + 7 ( subtract 7 from both sides )
- 4 = a(1)² = a
then
y = - 4 (x + 2)² + 7 ← in vertex form
= - 4(x² + 4x + 4) + 7
= - 4x² - 16x - 16 + 7
= - 4x² - 16x - 9 ← in standard form
Through a regular hexagonal prism whose base edge is 8 cm and whose height is 12 cm, a hole in the shape of a right prism, with its end being a rhombus with diagonals 6 cm and 8 cm is drilled . Find: the total surface area of the remaining solid.
The total surface area of the remaining solid is 48(4+root3) centimeters square.
We have given that,
Through a regular hexagonal prism whose base edge is 8 cm
Whose height is 12 cm, a hole in the shape of a right prism
What is the formula for the total surface area?Total surface area=2(area of the base)+parameter of base×Height
Height=8cm
Parameter of base=12(2)=24
area of the base=6×root3/4×4^2
We use the given value in the formula
=2×6×root3/4×4^2+24×8
=48root3+192
=48(4+root3)cm^2
Therefore the total surface area of the remaining solid is 48(4+root3)cm^2.
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GIVEAWAY!! QUICK QUESTION!!!
Mr. Segura told Ms. Chang that the coefficient of kk is 11. What would you tell one of your classmates that the coefficient of -k−k is? Type the number, don't write it out!
Answer:
-2
Step-by-step explanation:
Given :
An example of a coefficient ⇒ '11' in 11kkSolving :
The coefficient is the part that precedes the variable(s)Therefore, on solving -k - k⇒ -2k⇒ -2 is the coefficientAnswer:
-2
Step-by-step explanation:
Given expression: -k - k
Combine like terms and simplify:
⇒ -k - k
⇒ -(k + k)
⇒ -(2k) = -2k
Determining the constant:
The constant of the term MUST be an integer. It CANNOT be a variable. In this case, the only constant that is a cooeficient of k is -2.
Thus, the cooeficient of -k−k is -2.
y=x^2-8x+6 complete the square to determine the vertex and maximum or minimum value. Determine the number of x-intercepts.
Answer:
Below in bold.
Step-by-step explanation:
y = x^2-8x+6
y = (x - 4)^2 - 16 + 6
y = (x - 4)^2 - 10
So the vertex is at (4, -10)
The coefficient of x^2 of this function is 1 ( positive) so there will be a minimum value.
Minimum value = -10.
x-intercepts:
(x - 4)^2 - 10 = 0
(x - 4)^2 = 10
x - 4 = +/- √10
x = 4 +/- √10
- therefore there are 2 x-intercepts.
The figure below is an isosceles trapezoid. Solve for x.
Note: the figure may not be drawn to scale.
Answer:
x = 3
Step-by-step explanation:
The diagonals of an isosceles trapezoid are congruent , then
4x - 1 + 4 = 2x + x + 6 , that is
4x + 3 = 3x + 6 ( subtract 3x from both sides )
x + 3 = 6 ( subtract 3 from both sides )
x = 3
Arjun rides his bike for 4 kilometers a day for 12 days. How far does Arjun ride his bike in 12 days
need the answer please help
Answer:
the 2nd option
Step-by-step explanation:
given a quadratic in standard form : y = ax² + bx + c (a ≠ 0 )
• if a > 0 then minimum turning point
• if a < 0 then maximum turning point
the graph here has a minimum turning point , so
the function has a positive leading coefficient.
the function is symmetrical about the y- axis , so is of even degree
the function has 1 turning point at (0, 2 )
the graph does not cross the x- axis so has 0 x- intercepts
what is the area of the parallelogram below if b=6.1? Round your answer to the nearest tenth.
Which set of side lengths forms a right triangle?
A. 6,8,10
B. 2,4,6
C.1,2,3
D. 2,3,4
Answer:
A. 6,8,10
Step-by-step explanation:
For a right triangle the the values for the three sides we pick must satisfy the Pythagorean theorem:
a(2 + b(2= c(2
A. 6,8,10
6(2 + 8(2 = 10(2
36 + 64 = 100
100 = 100
Bingo!
(For example lets solve the rest)
B. 2,4,6
2(2 + 4(2 = 6(2
4 + 16 = 36
20 ≠ 36
Nope.
C. 1,2,3
1(2 + 2(2 = 3(2
2 + 4 = 9
6 ≠ 9
No again!
D. 2,3,4
2(2 + 3(2 = 4(2
4 + 9 = 16
13 ≠ 16
Not this one.
Therefore our answer is A.
UNIT 5: CEREAL BOX PROJECT / PORTFOLIO
HELP
Using the formula for volume and surface area of solids, we have the following:
1. 180 in.³; 258 in.²; $12.9
2. 144 in.³; 184 in.²; $9.2
3. 75 in.³; 228 in.²; $11.4
What is Volume and Surface Area?Volume of a rectangular prism = l × w × h
Surface area of a rectangular prism = 2(wl+hl+hw)
Volume of a square pyramid = 1/3 × a² × h
Surface area of a square pyramid = a² + 2al
Volume of a cylinder = πr²h
Surface area of a cylinder = 2πr( h + r)
1. Volume of the rectangular prism cereal box = 7.5 × 2 × 12 = 180 in.³
Surface area of the rectangular prism cereal box = 2(wl+hl+hw) = 2(2 × 7.5 + 12 × 7.5 + 12 × 2) = 258 in.²
Cost of material for the the rectangular prism cereal box = 258 × 0.05 = $12.9.
2. Volume of the square pyramid cereal box = 1/3 × a² × h = 1/3 × 6² × 12 = 144 in.³
Surface area of the square pyramid cereal box = a² + 2al = 6² + 2(6)(12.3) ≈ 184 in.²
Cost of material for the the square pyramid cereal box = 184 × 0.05 = $9.2.
3. Volume of the cylinder cereal box = πr²h = π(2.5²)(12) = 75 in.³
Surface area of the cylinder cereal box = 2π(2.5)(12 + 2.5) ≈ 228 in.²
Cost of material for the the cylinder cereal box = 228 × 0.05 = $11.4.
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A caterer charges a setup fee of $40, plus $15 per
person. How much will the caterer charge if 22
people attend the party, and the customer has a
coupon for $100 off the total?
PLEASE SOLVE!! WILL MARK BRAINLIEST!
Answer:
65
Step-by-step explanation:
HELPPPP 80 POINTS
Solve the right triangle.
Round your answers to the nearest tenth
answer:
A=46°
a=17.983 (tenths- 18, hundredths- 17.98)
b=17.366 (tenths- 17.4, hundredths- 17.37)
explanation:
1. find angle A
it shows that the angle corresponding with the side length of 25 is a right angle, meaning it's 90°. using that information and the angle given to us (44°), we're able to find the missing angle. since all the angles in a triangle always add up to 180°, we can add the two angles together and then subtract that from 180° to find the missing angle.
90°+44°=134°
180°-134°=46°
A=46°
2. find side a
using the law of cosines, we're able to find the length of side a. cosine of an angle equals [tex]\frac{adjacent}{hypotenuse}[/tex]. we'll be using angle B (44°) for our angle. after we plug in the values, we can just solve the equation to find side a.
cosine44°=[tex]\frac{a}{25}[/tex]
(multiply both sides by 25)
25cosine44°=a
a=17.983
3. find side b
finding the length of side b is very similar to how you found side a. you can use the law of cosines again (make sure you use the right side lengths and angles!), but i used the law of sines. the sine of an angle equals [tex]\frac{opposite}{hypotenuse}[/tex]. we're going to be using the same angle for this.
sine44°=[tex]\frac{b}{25}[/tex]
(multiply both sides by 25)
25sine44°=b
b=17.366
--
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Fran is going to transfer her credit card balance over to a new card. she has an existing balance of $752.69. her current card charges her a transfer fee of 12.5%, added to her balance, for transferring her debt. the new card has an opening fee of $50, which is also added to her balance. she will also have to make an immediate minimum payment, which is 3.35% of her total balance. how much will her balance be after she makes this payment, assuming that she pays the minimum amount? round all dollar values to the nearest cent. a. $866.74 b. $868.40 c. $818.41 d. $926.82 please select the best answer from the choices provided a b c d
The Fran's balance will be $866.73.
She has an existing balance of $752.69
Her current card charges her a transfer fee of 12.5%, added to her balance, for transferring her debt.
What is the meaning of balance?An even distribution of weight enabling someone or something to remain upright and steady.
Which is given by,
[tex]0.125\times 752.69=94.04[/tex]
The total is given by,
[tex]752.69+94.04=846.77[/tex]
The new card has an opening fee of $50, which is also added to her balance.
This becomes now = [tex]846.77+50=896.77[/tex]
She also have to make an immediate minimum payment, which is 3.35% of her total balance.
This amount is = [tex]0.0335\times 896.77=30.04[/tex]
Now balance in her account is = [tex]0.0335 \times 896.77=30.04[/tex]
Therefore, Fran's balance will be $866.73.
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pls help me wat is 10 × 3 + 4
Answer:
34
Step-by-step explanation:
10 x 3 = 30
30 + 4 = 34
34 is the answer.
Answer:
10×3+4
=30+4
=34
hope this helps you
Using factor (2u – 1), sin(x) = Using factor (5u + 1), or sin(x) =
Answer:
sin(x)= 1/2 or sin(x)= -1/5
Answer: a c d e
Step-by-step explanation:2nd part
Help!!!!!
The midpoints of the slides of a square are joined to its vertices as shown. What is the ratio of the area of the shaded square inside to the area of the original square
Answer:
1/5
Step-by-step explanation:
It is easy to see a right triangle on each side of the original square with its hypotenuse on the side of the original square, each with an area of 2⋅A2=A. Thus the total area of the original square is 5A, or the ratio of the area of the shaded square to the original square is 1/5.
find the measures of the interior angles
Answer:
B is 88 and C is 44
Step-by-step explanation:
I know I am right and I did the math
Help me with this please
Step-by-step explanation:
x > 4
you see the line covers everything to the right (larger than) of +4.
the large empty circle at 4 means this value is not included.
that is the reason why we cannot use x >= 4.
to include the value the market has to be sold (not empty).
Megan is in charge of creating a five-digit code to lock and unlock a secure room. She can use any digit from 0 through 9, and she can use each digit as many times as she wants. She knows she wants to start the code with a 7.
How many possible codes that start with 7 could Megan create?
10,000 codes
70,000 codes
100,000 codes
700,000 codes
Answer:
The Answer Is 10,000 Codes
Proof :
Answer:
10,000
Step-by-step explanation:
Took k-12 quiz
Would you please look at this question?
Answer:
The answer to this question is "x"-meter = 48 = B)
Sonnie deposited $2,500 into an account that earns simple interest. After 5 years, she earned $375 in interest. What was the interest rate of the account?
Answer:
3%
Step-by-step explanation:
The interest on the account is given by the simple interest formula:
I = Prt
where I is the interest, P is the principal invested, r is the annual rate, and t is the number of years
375 = 2500r(5) . . . . . . using the given values in the formula
375/12500 = r = 0.03 . . . . . divide by the coefficient of r
Sonnie's account had a 3% interest rate.
Suppose that a travel bureau claims that the trees in a forest are 84 ft tall on average with a standard deviation of 2 feet. If you took a sample of 64 trees, which of the following mean heights would be outside the 95% confidence interval?
A. 84.6 ft
B. 84.2 ft
C. 84.4 ft
D. 83.6 ft
The value of the mean height for the given data will be 84.6 ft. Option A is correct.
What is the standard deviation?It is a measurement of statistical data dispersion. The degree to which the value varies is known as dispersion.
Given data;
Mean,[tex]\rm\bar x = 84[/tex]
Standard deviation,[tex]\sigma= 2[/tex]
No of sample,n=64
The mean height is foundd as;
[tex]\rightarrow \bar x \pm \frac{\sigma}{\sqrt n} \times Z \\\\ \rightarrow \84 \pm\frac{2}{8} \times 1.96 \\\\ \rightarrow 83.51,84.49[/tex]
84.6>84.49
The value of the mean height for the given data will be 84.6 ft.
Hence option A is correct.
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The functions f(x) = x2 – 2 and g(x) = –x2 + 5 are shown on the graph.Explain how to modify the graphs of f(x) and g(x) to graph the solution set to the following system of inequalities. How can the solution set be identified? y > x2 – 2 y ≥ –x2 + 5
Two rigid transformations must be applied:
Vertical translation 7 units in the +y direction.Reflection around the line y = 5.The solution set can be identified by the fact that domain of quadratic functions is the real domain.
How to use rigid transformations
In the field of the Euclidean geometry rigid transformations are transformations applied on geometric loci such that Euclidean distances within the latter are conserved and herein we must determine what rigid transformations we should apply on f(x) to obtain g(x).
After a careful examination, we conclude that following two rigid transformations must be applied:
Vertical translation 7 units in the +y direction.Reflection around the line y = 5.The solution set represents the set of x-values such that the function exists. As both functions are quadratic equations, then their solutions are described the entire real domain.
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A tour bus in Jaipur serves 400 customers a day. The charge is Rs 50 per person. The owner of the bus service estimates that the company would lose 10 passengers a day for each Rs 5 fare increase.
(i) How much should the fare be in order to maximize the
Explain why 5.12 x 4 equals 20.48 with numbers.
Answer: 20.48
Step-by-step explanation: you add 5.12 four time then you get 20.48.
What is the volume of this container? (image below)
Answer:
480 in³
Explanation:
Volume of Rectangular Prism = Length * Height * Width
Front Volume:
4 * 4 * 580 in³Behind Volume:
5 * 8 * 10400 in³Total volume:
400 in³ + 80 in³480 in³Both are cuboids
#1
L=8B=10C=5Volume:-
LBH8(10)(5)400in³#2
L=4B=4H=5Volume:-
4(4)(5)80in³Total:-
400+80=480in³
f(x)=x^2. What is g(x)?
A. g(x)=-4x^2
B. g(x)=-x^2-4
C. g(x)=x^2+4
D. g(x)=x^2-4
Answer:
g(x)=(-x²-4)
Step-by-step explanation:
[tex] - {x}^{2} - 4 \: is \: th \: requied \: equation[/tex]
x>-6 on a number line
Step-by-step explanation:
draw a number line and plot on 7 and make an arrow at the other end of the line
I need help finding the mean
Answer:
there is 5 jokers
Step-by-step explanation:
the dot plot shows that