Answer:
-87, -88, -89
Step-by-step explanation:
first divide -264 by 3 this will give you the middle number. To find the first number subtract 1 from the middle number and to find the third number add 1 to the middle number.
Which equation represents the graphed function?
0 -3x + 2 = y
0 -2/3x+2=y
O 3/2x-3=y
O 2x - 3 = y
Answer:
3/2x-3 =y
Step-by-step explanation:
when x = 0 the equation should equal -3 because the y intercept is (0,-3) which narrows down to the last two.
The x-intercept is (2,0) input these values into the equation and the third option gives these values.
[tex]\frac{3}{2}[/tex](2) -3 = y ,
3-3=y
y=0 Therefore the third option is the answer
If p = q and q = r which statement must be true?
A. sp
O B. pas
O c. r>p
O d. p=r
Answer: D
Step-by-step explanation:
Write it down. p = q = r
So therefore they are all equal to each other
Answer: p = r
Step-by-step explanation:
p = q, q = r
Therefore, p has to equal r
I like to refer to this situation as the 'triangle of equivalence'.
find the number of possible outcomes for creating an outfit from 4 pairs of pants 3 shirts and 4 pairs of shoes
Answer:
48
Step-by-step explanation:
This is a counting problem, so we can use the counting principle. Since there are 4 pairs of pants, 3 shirts, and 4 pairs of shoes, we do 4 * 3 * 4, which equals 48.
Using the Fundamental Counting Theorem, it is found that there are 48 possible outcomes for the outfit.
What is the Fundamental Counting Theorem?It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:
[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]
In this problem, the options are as follows:
There are 4 possible pairs of paints, hence [tex]n_1 = 4[/tex].There are 3 shirts, hence [tex]n_2 = 3[/tex].There are 4 pairs of shoes, hence [tex]n_3 = 4[/tex].Hence, the total number of options given by:
[tex]N = 4 \times 3 \times 4 = 48[/tex].
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Factor completely 5x4 − 80.
5(x2 − 4)(x2 + 4)
5(x − 2)(x + 2)(x + 2)(x + 2)
5(x − 2)(x + 2)(x2 − 4)
5(x − 2)(x + 2)(x2 + 4)
Answer:
[tex]5(x - 2)(x+ 2)(x^2 + 4)[/tex]
Step-by-step explanation:
The expression given is:
[tex]5x^4 - 80\\\\5(x^4 - 16)\\\\5(x^4 - 2^4)\\\\5((x^2)^2 - (2^2)^2)\\\\[/tex]
Difference of two squares:
[tex]5(x^2 - 2^2)(x^2 + 2^2)\\\\5(x - 2)(x + 2)(x^2 + 2^2)\\\\5(x - 2)(x+ 2)(x^2 + 4)[/tex]
The factorized form of the given equation is [tex]5(x-2)(x+2)(x-2)(x+2)[/tex] and this can be determined by using the factorization method.
Given :
[tex]f(x) = 5x^4-80[/tex]
The following steps can be used in order to determine the factors of the given function:
Step 1 - Write the given function.
[tex]f(x) = 5x^4-80[/tex]
Step 2 - Take out 5 as common in the above function.
[tex]f(x) = 5(x^4-16)[/tex]
Step 3 - Now, try to factorize the above function.
[tex]f(x) = 5(x^4-2^4)\\f(x) = 5(x-2)(x+2)(x-2)(x-2)[/tex]
From the above steps, it can be concluded that the correct option is B).
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Identify the pair of angles shown in the figure.
Answer:
Complementary
Step-by-step explanation:
These angles add up to 90° and when two angles add up to 90° they are called complementary angles.
Hope this helps!
Plx give brainliest
Answer:
complementary angles
Step-by-step explanation:
The two angles add to 90 degrees, which makes them complementary angles
Which has a value closest to 9?
Answer:
10
Step-by-step explanation:
Answer:
Step-by-step explanation:
√81 = 9
So, √83 will be closest to 9
Use the method of substitution to solve the system of equations. please show your work! y=534x y=74.80x+1,419 Thank you so much! If you could also solve it graphically that would be best but if not thats okay!
Answer:
( 3, 1650 ), Where x = 3, and y = 1650 -
Approximately
Step-by-step explanation:
Take a look at the procedure below;
[tex]y = 534x,\\y = 74.80x + 1,419\\\\y = 534x,\\y - 74.8x = 1,419\\\\( 534x ) - 74.8x = 1,419\\459.2x = 1,419\\x = ( About ) 3\\\\y = 534 * ( x ),\\y = 534 * ( 3.1 ),\\y = ( About ) 1650[/tex]
We first converted the second equation into standard form, by subtracting 74.8x on either side. Afterwards we substituted 534x in replacement of y in this second equation, and solved for x. Knowing the value of x, it was substituted back into the first equation to solve for the value of y. Hence, the resulting solution is ( 3, 1650 ) - approximately.
* I apologize for not including a graph *
What are 2 ratios equivalent to 24:9
8:3
24 / 3 = 8
9 / 3 = 3
48:18
48 / 2 = 24
18 / 2 = 9
Answer:
A. 8:3
24/3 = 8
9/3 = 3
B. 48:18
48/2 = 24
18/2 = 9
Hope this helps out !!!!!!Please help me thx uuu
Answer:
A =10 ft^2
Step-by-step explanation:
We need to find the area of the piece
A = l*w
A = 2/5 * 25
A = 2 * 25/5
A =2 * 5
A =10 ft^2
Answer:
area = 10
Step-by-step explanation:
2/5 x 25= 10
Is 313756 divisible by 3?
Answer:
No
Step-by-step explanation:
You can find if a number is divisible by three by adding its digits. 3+1+3+7+5+6 is equal to 25, which is not divisible by three.
The number is not divisible by 3.
It is required to find the divisibility.
What is decimal?Decimals are one of the types of numbers, which has a whole number and the fractional part separated by a decimal point. Fraction whose denominator is a power of ten and whose numerator is expressed by figures placed to the right of a decimal point.
Given:
Divisibility test of 3
If sum of digits of number is divisible by 3 the the number is divisible by 3.
Sum of digits = 3+1+3+7+5+6
=25
We can find if a number is divisible by three by adding its digits. is equal to 25, which is not divisible by three.
Therefore, the number is not divisible by 3.
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i need the answer ;(
Answer:
x=100
Step-by-step explanation:
Because they are vertical angles, AEG=FEB
You can see that FED+DEB=FEB
Therefore, 80+20=FEB=100
Since FEB=100 and FEB=AEG
AEG=100
Answer:
100°
Step-by-step explanation:
In this question, vertical angles are key. If you didn't know, vertical angles are basically opposites of each other. A pair of vertical angles are equal.
ACE = 20°
FED = 80°
FED and CEG are vertical angles (+the 20 from ACE), so your answer is 100°
hope this helps, brainliest is appreciated.
Determine the solutions to the quadratic equation -5x2 + 10x + 15 = 0.
Select the best answer from the choices provided.
A.
{-1, 9}
B.
{-2, 3}
C.
{-1, 3}
D.
{-2, 9}
Answer:
C ( -1, 3 )
Step-by-step explanation:
Solve the equation for x by finding a, b, and c of the quadratic then applying the quadratic formula.
[tex]If s(x) = x – 7 and t(x) = 4x2 – x + 3, which expression is equivalent to (t circle s) (x)?[/tex]
Answer:
my boi
Step-by-step explanation:
Using the attached image, match the vertical angles.
Answer:
Step-by-step explanation:
1) ∠AED = ∠ BEC
2) ∠AEB = ∠DEC
3) ∠DEC = ∠AEB
4) ∠CEB = ∠AED
HURRY PLEASE!!!!! I’m stuck and I’m running out of time
Answer:
I hope you did well
Step-by-step explanation:
I noticed that it was uploaded an hour ago, I hope it worked out for you
Please answer this asap this is very easy and im in a rush
Answer:
1/10
Step-by-step explanation:
Of means multiply and is means equals
3/5 * 1/6 =
3/30
1/10
Answer:
[tex]\frac{1}{10}[/tex]
Step-by-step explanation:
In order to find the answer to this question you need to multiply the numerators by each other and the denominators by each other and reduce if needed.
[tex]\frac{3}{5} \times\frac{1}{6}[/tex]
[tex]3\times1=3[/tex]
[tex]5\times6=30[/tex]
[tex]=\frac{3}{30}[/tex]
Now reduce:
[tex]3 \div3=1[/tex]
[tex]30\div3=10[/tex]
[tex]=\frac{1}{10}[/tex]
Hope this helps.
Which is the best first step and explanation for solving this system of equations?
3x + 4y = 12
3x = 2y - 8
CE
IC
3x + 4y + 3x = 12 + 2y - 8
Add the two equations to one another.
3x + 4y - (3x) = 12 - (2y - 8)
Subtract the second equation
from the first equation
9x + 12y = 36
3x + 4y - 8 = 12 - 8
Multiply both sides of
the first equation by 3.
Subtract an equal amount from
both sides of the first equation
Answers only please
Answer:
Subtract the second equation
from the first equation
Hope this helps.
Cassandra is creating an animated short film, and she needs 35 frames per second of film. He already has at least 200 frames.
Which inequality represents this situation where f is the number of frames and s is the number of seconds in a film?
A) s ≥ 35f + 200
B) s ≥ 35f - 200
C) f ≥ 35s - 200
D) f ≥ 35s + 200
Answer: C) f ≥ 35s - 200
Step-by-step explanation:
Hi, to answer this question we have to write an equation:
She needs 35 frames (f) per second (s) ( we have to multiply the number of frames by the number of seconds) f ≥ 35s
She has already 200 frames (since we already have, we can subtract that to the needed frames per second)
f ≥35s -200
Feel free to ask for more if needed or if you did not understand something.
find the value of x
Answer:
62○
Step-by-step explanation:
To find the angle all you have to do is subtract 118○ from 180○ to get 62○. Because 180○ is a straight line! :)
Answer:
X = 62
Step-by-step explanation
To start we make x go next to 118 so they make a supplementary angle. We add x and 118 to make 180.
118 + X = 180, OR 180 - 118 = x
X = 62
Prove that the median to the hypotenuse of a right triangle is half the hypotenuse. Proof: By the Distance Formula , MN=___ Therefore OP = 1/2MN
Answer:
MN
[tex]= \sqrt{4a^2+4b^2}= 2\sqrt{a^2+b^2}[/tex]
Step-by-step explanation:
From the figure attached,
ΔMON is a right triangle and coordinates of the points M and N are M(0, 2b) and N(2a, 0).
Coordinates of midpoint P → [tex](\frac{2a+0}{2}, \frac{0+2b}{2})[/tex]
From the formula of the distance between two points,
[tex]d = \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}[/tex]
[tex]\texttt {MN} = \sqrt{(2a-0)^2+(0-2b)^2}\\\\ = \sqrt{4a^2+4b^2}\\\\ = 2\sqrt{a^2+b^2}[/tex]
Similarly, OP
[tex]= \sqrt{(0-a)^2+(0-b)^2}\\\\ = \sqrt{a^2+b^2}[/tex]
Therefore, OP
[tex]= \frac{1}{2}(MN)[/tex]
and MN
[tex]= \sqrt{4a^2+4b^2}= 2\sqrt{a^2+b^2}[/tex]
Find the vertex of the parabola whose equation is y = x2 - 4x + 6.
Answer:
(2,2)
Step-by-step explanation:
Vertex form is
y = (x-2)^2 + 2
quick question What is total surface area and lateral surface area? I will give brainlest its due tmrw
Answer:
Total surface area is the sum of the areas of all of the faces include tops, bottoms (base) and the remaining surfaces that enclose the solid.
Lateral surface area is the total area of a solid object but does not include the base.
Step-by-step explanation:
I will give brainliest answer
Answer:
theres google for this
Step-by-step explanation:
37.5
Answer:
I think it should be A=37.5 I'm not so sure,hope this helps tho!
Step-by-step explanation:
CORRECT ANSWER GETS BRAINLIEST!! PLZ ANSWER FAST!!
Answer:
Option 1
Step-by-step explanation:
Option 2 is reflected but not translated
Option 3 is reflected over the y axis
Option 1 is reflected over the x axis and translated
Please solve this very very easy attachment that will be down below!
Answer:
3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
KFC or KCF
3/4 times 4/1= 12/4 which is 3
Find the area of the polygon shown in the figure.
Answer:
16
Step-by-step explanation:
Triangle area = (1/2)*b*h
Base = b = 4
Height = h = 8
Area = (1/2) * 4 * 8 = 16
The area of the polygon shown in the figure is 16 unit square.
What is a polygon?A polygon is a closed figure made up of three or more line segments connected end to end.
Triangle is a polygon that has three sides and three vertices. It is one of the basic figures in geometry.
The area of the triangle is defined as the product of half the base and the height of the triangle.
The area of the triangle = 1/2 x b x h
WE can see from the given figure;
The Base = b = 4
The Height = h = 8
The Area of figure = (1/2) * 4 * 8
The Area of figure = 16
Hence, the area of the polygon shown in the figure is 16 unit square.
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Tom owns a square plot of land. He knows that the area of the plot is between 3000 and 3100
square meters.
Answer:
Side of land = 55 m (Approx)
Step-by-step explanation:
Note: The given question is incomplete.
Given:
The land is in square shape.
Area of the land = between 3000m² and 3100m²
Find:
Approx side of the land.
Computation:
Side of land = [tex]\sqrt{Area\ of\ land}[/tex]
Side of land = [tex]\sqrt{3,000} \leq Side \leq \sqrt{3,100}[/tex]
Side of land =[tex]54.77\leq side \leq 55.67[/tex]
Therefore, Side of land = 55 m (Approx)
2. A 13-foot ladder placed on level ground leans against the side of a house. The ladder reaches a point that is 12 feet up on the side of the house.
(a) What is the measure of the angle formed by the ladder and the level ground? Round your answer to the nearest degree. Show your work.
(b) The Occupational Safety and Health Administration (OSHA) sets standards for a variety of occupations to help prevent accidents and other safety hazards. OSHA’s standard for the angle formed by a ladder and level ground is . The same 13-foot long ladder is placed against the building according to OSHA’s safety standard.
What is the distance between the foot of the ladder and the foot of the building? Round your answer to the nearest tenth. Show your work.
Answer:
a) 67.4°
b) 5.0 ft
Step-by-step explanation:
Now we have to use the trigonometric ratios to obtain the angle between the ladder and the level ground. Remember that the problem is a right angled triangle problem.
Let the hypotenuse of the triangle (length of the ladder) be c = 13 ft
Let the distance between the ladder and the ground be a
Let the height from the ground to the top of the ladder be b =12 ft
From;
Sinθ= opposite/hypotenuse
Sinθ= 12/13
Sinθ= 0.9231
θ=Sin^-1(0.9231)
θ= 67.4°
b) distance between the ladder and the foot of the building is obtained from
Cosθ= adjacent/hypotenuse
Adjacent= unknown
Hypotenuse= 13ft
θ= 67.4°
Cos(67.4°) = adjacent/13
Adjacent= cos (67.4°) ×13
Adjacent= 5.0 ft
Answer:
a. x ≈ 67°(nearest degree)
b. distance = 5. 1 ft (nearest tenth)
Step-by-step explanation:
A 13 ft ladder is placed on level ground leans against the side of a house . The ladder reaches a point that is 12 ft up the side of the house. The illustration forms a right angle triangle.
a. The right angle triangle formed has it opposite sides as 12 ft and it hypotenuse side as 13 ft. The angle formed between the ladder and the floor can be solved using sine ratio. Therefore,
let
x = angle
sin x = opposite/hypotenuse
sin x = 12/13
sin x = 0.92307692307
x = sin ⁻¹ 0.92307692307
x = 67.3801350509
x ≈ 67°(nearest degree)
b. If the same 13 ft ladder is placed against the building using the same angle formed .
The distance between the the foot of the ladder and the foot of the building is the adjacent side of the triangle. Therefore, using the angle formed.
cos 67° = adjacent/hypotenuse
cos 67° = adjacent/13
cross multiply
adjacent = 13 cos 67°
adjacent = 13 × 0.39073112848
adjacent = 5.07950467036
distance = 5. 1 ft(nearest tenth)
Pavi has a credit line of $8,000 on his credit card. Review the summary of his credit card statement. How much credit does Pavi currently have available on this card? Summary Previous Balance Payments/Credits New Purchases Finance Charge New Balance $2,500.00 $1,500.00 $3,000.00 $7.50 $4,007.50 A. $3,992.50 B. $5,000.00 C. $5,500.00 D. $6,500.50
Answer:
A. $3992.50
Step-by-step explanation:
Credit line - $8,000.00
Summary
Previous Balance Payments - $2,500.00Credits - $1,500.00New Purchases - $3,000.00Finance Charge - $7.50New Balance - $4,007.50Available credit= credit line - new balance = $8000 - $4007.50= $3992.50
Answer:
$3992.50
Step-by-step explanation:
If you diluted 300 mL of 8% benzocaine lotion to 5% how much could you produce
Answer:
you are diluting it 8/5 times, or 1.6 times.
You could make 230*1.6 ml of 5 percent lotion.
If you diluted 300 mL of 8% benzocaine lotion to 5%, you will be able to produce 480 ml of 5% lotion.
What are Percentages?A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
The amount of benzocaine in 300 ml solution is,
Amount = 0.08 × 300 = 24ml
Since after the dilution the amount of benzocaine will be the same, therefore, we can write,
0.05 of X ml = 24 ml
X = 24/0.05
X = 480 ml
Hence, If you diluted 300 mL of 8% benzocaine lotion to 5%, you will be able to produce 480 ml of 5% lotion.
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