Answer:
[tex]12k^3 -k^2-36k-20[/tex]
Step-by-step explanation:
Step 1: Distribute
[tex](4k + 5)(3k^2 - 4k - 4)[/tex]
[tex](4k * 3k^2)+(4k*-4k)+(4k*-4)+(5*3k^2)+(5*-4k)+(5*-4)[/tex]
[tex]12k^3-16k^2-16k+15k^2-20k-20[/tex]
Step 2: Combine like terms
[tex]12k^3+(-16k^2+15k^2)+(-16k-20k)-20[/tex]
[tex]12k^3 -k^2-36k-20[/tex]
Answer: [tex]12k^3 -k^2-36k-20[/tex]
What is the area of the pentagon, rounded to the nearest tenth?
13.8 cm2
17.3 cm2
32.7 cm2
69.0 cm2
The area of the pentagon, rounded to the nearest tenth will be 32.7 square cm. Then the correct option is C.
What is a polygon?The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.
A regular pentagon has an apothem measuring 3 cm and a perimeter of 21.8 cm.
Then the side length of the pentagon will be
5 x Side length = 21.8 cm
Side length = 4.36 cm
Then the area of the pentagon, rounded to the nearest tenth will be
Area of pentagon = 5 x area of triangle
Area of pentagon = 5 x 1/2 x 4.36 x 3
Area of pentagon = 32.7 square cm
Thus, the correct option is C.
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NEED HELP QUICKLY
(please include your work)
19. Solve for the angle x.
sin²(2x) = 1
A. 45° + 360°n, 135° + 360°n
B. 45° + 360°n, 135° + 360°n, 225° +
360°n
C. 225° +360°n
D. no solution
E. 45° +360°n, 135° + 360°n, 225° +
360°n, 315° +360°n
F. 45° + 360°n, 225° + 360°n
( A is incorrect)
Answer:
Choice E.
Step-by-step explanation:
sin^2 2x = 1
sin 2x = ± 1
So 2x = 90, 270 , 450, 630 etc
x = 45, 135, 225, 315 etc
= 45 + 360n, 135 + 360n, 225 + 360n, 315 + 360n
Evaluate the expression when a=4, b=2, and c=5. 3ab - c
Answer:
19
Step-by-step explanation:
3(4)(2) - 5
3 * 4 = 12 * 2 = 24
24 - 5 = 19
Two cheeseburgers and one small order of fries contain a total of 1320 calories. Three cheeseburgers and two small orders of fries contain a total of 2170 calories. Find the caloric
content of each item.
Answer:
cheeseburger: 470 caloriesfries: 380 caloriesStep-by-step explanation:
The given relations let you formulate two equations in the two unknown values. These can be solved by any of the usual methods.
__
setupLet x represent the caloric content of a cheeseburger, and y the caloric content of a small order of fries. The problem statement tells us ...
2x +y = 1320
3x +2y = 2170
__
solutionSubtracting the second equation from twice the first gives ...
2(2x +y) -(3x +2y) = 2(1320) -(2170)
x = 470
Using the first equation, we can find y:
y = 1320 -2x = 1320 -2(470) = 380
__
A cheeseburger has 470 calories; a small order of fries, 380 calories.
_____
Attached is a graphing calculator solution.
3M+4/3=28/3-M.find the m
Answer:
M = 2
Step-by-step explanation:
3M+4/3 = 28/3 -M
3M+M +4/3-28/3 = 0
4M -8 = 0
4M = 8 ( divide 4 in both sides)
M=8/4
M=2
Isabella has a total of 150 music CD's.She loves rock music and alternative music. The number of alternative music CD's is three more than twice that of the rock music CD's that she owns .
(a). Write down two equations that represent this information.
(b). Draw the two graphs that represent these equations on the same set of axes .
(C). Show where you can read off how many Rock CD's Isabella owns .
The system of equations that we need to solve is:
x + y = 150y = 2x + 3And the solution is x = 49 and y = 101.
How to solve the system of equations?
Let's define the variables:
x = number of CDs of rock music.y = number of CDs of alternative music.We know that the total number of CDs is 150, then:
x + y = 150
And we know that:
y = 2x + 3
Then the two equations that represent the information (and conform a system of equations) are:
x + y = 150
y = 2x + 3
b) The graphs of the two equations can be seen below.
c) To find the solution, we just need to see where the graphs intercept.
We can see that the intercept is (49, 101), this means that:
Isabella has 49 rock music CDs and 101 alternative music CDs.
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Se puede pasar 11/20 a fraccion mixta?
The fraction 11/20 can not be converted to a mixed fraction since it belongs to the proper fraction, I mean that the numerator is less than the denominator.
Only improper fractions can be mixed.
Example :[tex]\: \: \: \: \: \: \: \: \qquad\bold{\Rightarrow \dfrac{20}{11}= 1\dfrac{9}{11} }[/tex]
So no the fraction 11/20 cannot be a mixed fraction.
Answer:
Solve the set of two reals for the following exponential equation:
\Large\text{${\dfrac{27^x\:-\:3^x}{9^x\:-\:3^x} = 82}$}
a) If a regular octagon and regular hexagon both have the same side lengths, which will have the greater area?
Answer:
Octagon
Step-by-step explanation:
Formula for a polygon is :
A = 1/2 x a x Pa = apothem (distance from center to the midpoint of a sideP = perimeter (sum length of the sides)Since a regular octagon has 8 sides, and a regular hexagon has 6, the octagon will have the greater area due to greater perimeter.
NEED HELP PLEASE ANSWER ASAP! (43)
Answer:
43. (2) $2.00
Step-by-step explanation:
Question 43
Let cheese pizza be c and mushroom pizza be m3c + 4m = 12.503c + 2m = 8.50Subtract Equation 2 from Equation 1.
3c + 4m - 3c - 2m = 12.50 - 8.502m = 4.00m = $2.00(2) $2.00Answer:
(2) $2.00
Step-by-step explanation:
Jack's order
3 slices of cheese pizza and 4 slices of mushroom pizza = $12.50
Grace's order
3 slices of cheese pizza and 2 slices of mushroom pizza = $8.50
The difference between the two orders is 2 slices of mushroom pizza.
The difference between the cost of the two orders is:
$12.50 - $8.50 = $4.00
Therefore, 2 slices of mushroom pizza costs $4.00
So the cost of 1 slice of mushroom pizza is:
$4.00 ÷ 2 = $2.00
Given h(x) = −3 |x + 1| evaluate h (-3)
Need help this is for final’s study’s
Answer:
-6
Step-by-step explanation:
h(x) = −3 |x + 1| evaluate h (-3)
h (-3) means x = -3
Plug in:
h(x) = −3 |(-3) + 1| → h(x) = −3 |-3 + 1|
h(x) = −3 |-2| since -2 is an absolute value it becomes 2
h(x) = −3(2)
h(x) = -6
Let me know if you have anymore questions,
Good Luck studying :) YOU GOT THIS !!!
Jane spent $27 on fruit at the grocery store. She spent a total of $60 at the store. What percentage of the total did she spend on fruit.
Answer:
45%
Step-by-step explanation:
Divide 27/60, which gives you 0.45. Multiply that by 100, you get 45 percent.
Answer:
45%
Step-by-step explanation:
27/60
Write a quadratic function f whose zeros are 2 and 5.
Answer:
[tex] {x}^{2} - 7x + 10 = 0[/tex]
Step-by-step explanation:
[tex](x -2)(x - 5) = 0[/tex]
[tex] {x}^{2} - 7x + 10 = 0[/tex]
A jar contains nine blue marbles, eight yellow marbles, 11 black marbles, and 12 red marbles.
Without looking, what is the probability of pulling a white marble from the jar?
The probability of pulling a white marble from the jar is 0.
What is the probability?
Probability determines the odds that an event would happen. The odds usually lie between 0 and 1.
The probability of pulling a white marble = total number of white marbles / total number of marbles
0 / 40 = 0
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5. Mickey bought pizza and sodas for himself and four of his friends. The pizza was $17.49,
and 5 sodas were $1.19 each.
If the pizza is sliced into 10 equal slices and each person eats 2 slices and drinks one
soda, what is the cost to each person?
$2.94
® $4.13
$3.50
$4.69
Answer:
D. is the correct option
Step-by-step explanation:
There is a total of 5 people, so we can either split the pizza cost into 5, or into 10 and multiply by 2 (since each guest ate 2 slices) We'll do the first option since it's simpler.
$17.49 ÷ 5 = 3.489 or rounded up to $3.50
Next, we'll add $1.19 to $3.59 which equals $4.69
Hope this helps!
Solve for x in the equation 3^2(x+3)÷8(x-4)=64÷2x
Answer:
Hope this helps, it was a hard equation... mark me brainliest
Step-by-step explanation:
9x+27÷8x-24=64÷2x
9x÷8x+3=64÷2x
9x÷8x*2x=61
x^3=244/9
x=
approximately 3.00411
Simplify (sinx + cosx) ^2/ sin2x
[tex]\csc 2x+1[/tex]
Step-by-step explanation:
[tex]\frac{(\sin x+\cos x)^2}{\sin2x}[/tex]We expand [tex](\sin x+\cos x)^2[/tex] using algebraic identity [tex](a+b)^2=a^2+b^2+2ab[/tex][tex]=\frac{\sin^2x+\cos^2x+2\sin x.\cos x}{\sin2x}[/tex][tex]= \frac{1+\sin2x}{\sin2x}[/tex][tex]=\frac{1}{\sin2x}+\frac{\sin2x}{\sin2x}[/tex][tex]=\csc 2x+1[/tex]i need it fast
Did you know that all 50 states in the United States have some sort of state fair? Fairs and carnivals include a variety of games of chance that aren’t typically “fair.” What does it mean for a game to be fair? In this task, you’ll analyze different scenarios to determine fairness. You will use probability and expected value to make these determinations. You will also use these concepts to make decisions.
As you complete the assignment, keep this question in mind:
How can probability be applied to decision making?
Answer:
If a game is "fair" it most likely means that there is a chance of winning a prize that corresponds with the price of playing the game.
Step-by-step explanation:
There is no one correct answer, but that is the premise of answering a question like that. you will need to elaborate further.
Answer:
There is no correct answer. but you could use-
The key role of probability is to improve decision-making in the face of uncertainties. It helps decision-making objective and data-driven rather than based on instinct.
Step-by-step explanation:
ANSWER QUICK PLSS NOT MUCH TIME LEFT
A circle P is circumscribed about a regular hexagon ABCDEF
Select one:
a. exterior
b. inscribed
c. interior
d. central
Answer:
the answer willl be D
Step-by-step explanation:
Find the length of side X in the simplest radical form of the rational denominator
[tex]~~~~~~~\cos 45^{\circ} = \dfrac{\text{Base}}{\text{Hypotenuse}}\\\\\\\implies \dfrac 1{\sqrt 2} = \dfrac{\sqrt 3}{x}\\\\\\\implies x = \sqrt 3 \cdot \sqrt 2\\\\\\\implies x = \sqrt {3 \times 2}\\\\\\\implies x = \sqrt 6[/tex]
Can one of u guys help me I need help asap
Answer:
See below ~
Step-by-step explanation:
The three inequalities (listed below) have been plotted on a graph :
y ≤ 8y ≥ -3x + 4y > 2x - 4f(t)=t^2-3t
g(t)=2t+1
find f(g(t))
Answer:
[tex]f (2t + 1) = 4t^{2} - 2t - 2[/tex]
Can someone solve this for me real quick
Answer:
Square
Step-by-step explanation:
a plane figure with four equal straight sides and four right angles.
Graph the parabola.
y=(x+1)^2-3
Answer:
tap on the picture to see.Step-by-step explanation:
that should help
Answer:
I like to use Desmos when I graph parabolas. But I’m this case it would be 3 down and one to the left so the vertex should be (-1,-3) and then just graph x^2
Step-by-step explanation:
Hope this helps! ;-)
Using Euler's formula, how many
edges does a polyhedron with 4
faces and 4 vertices have?
[?] edges
The number of edges of a polyhedron with 4 faces and 4 vertices will be 6.
What is a polygon?The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.
Using Euler's formula, the number of the edges does a polyhedron with 4 faces and 4 vertices have
We know the formula for the edges of the polyhedron will be
F + V = E + 2
The number of faces, vertices, and edges of a polyhedron are denoted by the letters F, V, and E.
Then we have
4 + 4 = E + 2
E = 8 - 2
E = 6
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A and B are vertical angles. If mA = (2x + 1)° and m/B = (x +10)°,
then find the value of x.
Answer:
x = 9Step-by-step explanation:
GivenA and B are vertical anglesm∠A = (2x + 1)m∠B = (x + 10)Find the value of xWe know that vertical angles are congruent.
Use this property to set up equation.
m∠A = m∠BSubstitute the values of angles and solve for x.
2x + 1 = x + 102x - x = 10 - 1x = 9
The value of x is 9
A, B and C lie on a straight line.
Given that angle y = 144° and angle z =
92°, work out x.
A
x
Z
The diagram is not drawn accurately.
B
C
I need help on this question
the opposites would equal each other.
The last 2 answers are the correct ones.
Mina had a disco for her birthday. For every 2 boys at the disco, there were 3 girls. There were 35 children at the disco in total. How many boys were at the disco?
There were 14 boys at Mina's disco for her birthday.
What is a ratio?A ratio is a quantitative value that shows the number of times a certain value is in another value.
The number of boys at the disco can be calculated as shown below:It is given that for every 2 boys at the disco, there were 3 girls. This means that the ratio of boys to girls at the disco is 2:3.
Let the proportionality constant be x.
Therefore total boys and girls are 2x and 3x respectively.
There are 35 kids at the disco. This means that the number of boys plus girls is 35. It can be written as shown below:
2x + 3x = 35
⇒ x = 35/5
⇒ x = 7
Total number of boys = 2x
= 2 * 7
= 14 boys
Therefore the total number of boys at the disco is 14.
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a regular hexagon has 18 sides calculate the size of each interior
Answer:
[tex]160[/tex] °
Step-by-step explanation:
An alternative method is to use the exterior angle.
the sum of the exterior angles is ALWAYS 360 °
So you can find the size of the exterior angles of a regular polygon quite easily:
If there are 18 sides ( n = 18 ) , then each exterior angle is:
[tex]\frac{360}{n} =\frac{360}{18} = 20[/tex]°
The sum of the exterior and interior angles is 180° because they are adjacent angles on a straight line.
∴ each interior angle is 180° - 20° = 160°
please help me with these questions
Answer:
Here is the ans ..hope it helps