There are three terms in the following expression 7x² 5x 5 This means that for every x in the expression, 5 will be multiplied by it
The coefficient of x in the expression 5x³ 7x² is 5. This means that for every x in the expression, 5 will be multiplied by it. To calculate the coefficient of x, we need to first expand the expression. The expanded form of the expression 5x³ 7x² is 5x³ + 7x². Here, we can see that 5 is multiplied by x three times and seven is multiplied by x twice. This indicates that the coefficient of x is 5. This can be understood by considering the following example:
Let's say we have the expression 5x³ 7x² = 5x³ + 7x².
Here, 5 is multiplied by x three times and seven is multiplied by x twice. This means that the coefficient of x is 5. This can be written as 5x³ + 7x² = 5x³ + 7x x 1 = 5x(x² + x). Hence, the coefficient of x in the expression 5x³ 7x² is 5.The coefficient of x in the expression 5x³ 7x² can be calculated using the following steps:
Expand the expression 5x³ 7x².
The expanded form of the expression is 5x³ + 7x².
Here, we can see that 5 is multiplied by x three times and seven is multiplied by x twice. This indicates that the coefficient of x is 5.
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2x+8+110=180 or 90 degrees
Answer:
2x+8=180° (being vertically opposite angles)
Step-by-step explanation:
2x+8=110°
or, 2x= 110-8
or, x=102°÷2
: x= 51 answer
How many real solutions will the graph of g(x) = 2x2 - 4x + 7 have?
F
O real solutions
G
1 real solution
H
2 real solutions
J
more than 2 real solutions
Answer: zero real solutions
Step-by-step explanation: constants from equation are a= 2 , b= -4 and c= 7.
Discriminant D= b^2 -4ac = (-4)^2 -4x2x7= 16 - 56 = -40 <0 so there's no solution
For equation g(x)= 0
Use the geometric mean to find the value of e
Answer:
suppose,
a=6
b=24
then we know that,
geometric mean (e)=_/ab
=_/6×24
=_/144
=_/(12)^2
=12 Ans
Answer:
12
Step-by-step explanation:
to find the altitude which is e,using geometric mean, you need to :
multiply the two values that are given, which is the value in between JM and the value in between mL
so 6*24 =144
then the square root of the result, which is 144, is the altitude which is e.
so √144 = 12
therefore e=12
how to solve this? Is the question correct? ty :)
Answer:
The proposition is true.
Step-by-step explanation:
Now we proceed to demostrate that expression given is true by algebraic means:
1) [tex]\frac{x^{-1}+y^{-1}}{x^{-1}}+\frac{x^{-1}-y^{-1} }{y^{-1}}[/tex] Given
2) [tex]\frac{y^{-1}\cdot (x^{-1}+y^{-1})+x^{-1}\cdot (x^{-1}-y^{-1})}{x^{-1}\cdot y^{-1}}[/tex] [tex]\frac{a}{b} + \frac{c}{d} = \frac{a\cdot d+b\cdot c}{b\cdot d}[/tex]
3) [tex]\frac{x^{-1}\cdot y^{-1}+y^{-2}+x^{-2}-x^{-1}\cdot y^{-1}}{x^{-1}\cdot y^{-1}}[/tex] Distributive property/[tex]a^{b}\cdot a^{c} = a^{b+c}[/tex]
4) [tex]\frac{x^{-2}+y^{-2}}{(x\cdot y)^{-1}}[/tex] Commutative, associative and modulative properties/Existence of additive inverse/[tex]a^{b}\cdot c^{b} = (a\cdot c)^{b}[/tex]
5) [tex][(x\cdot y)^{-1}]^{-1}\cdot (x^{-2}+y^{-2})[/tex] Commutative property/Definition of division
6) [tex](x\cdot y)\cdot (x^{-2}+y^{-2})[/tex] [tex](x^{-1})^{-1}[/tex]
7) [tex]x^{-1}\cdot y + x\cdot y^{-1}[/tex] Distributive property/Associative property/[tex]a^{b}\cdot a^{c} = a^{b+c}[/tex]
8) [tex](x^{-1}\cdot y^{-1})\cdot y^{2} + (x^{-1}\cdot y^{-1})\cdot x^{2}[/tex] Modulative property/Existence of additive inverse/[tex]a^{b}\cdot a^{c} = a^{b+c}[/tex]
9) [tex](x^{-1}\cdot y^{-1})\cdot (x^{2}+y^{2})[/tex] Distributive property
10) [tex](x\cdot y)^{-1}\cdot (x^{2}+y^{2})[/tex] [tex]a^{b}\cdot c^{b} = (a\cdot c)^{b}[/tex]
11) [tex]\frac{x^{2}+y^{2}}{x\cdot y}[/tex] Commutative property/Definition of division/Result
Lisa is planning to paint her house over the weekend. She paints 1/3 of a room in an hour. How many rooms will she paint in 6 hours? Solve fraction
Answer:
2
Step-by-step explanation:
Lisa paints 1/3 of the room in an hour
Therefore the number of rooms she will paint in 6 hours can be calculated as follows
1 hour= 1/3
6 hours= x
Cross multiply
x= 1/3 ×6
= 2
Hence 2 rooms can be painted in 6 hours
Use this picture to name one pair of VERTICAL angles
Answer:
YOU LAIR HOW COULD YOU
Step-by-step explanation:
Answer:
1 and 6
Step-by-step explanation:
What is the value of x in 7x-18
Answer:
x = 21
Step-by-step explanation:
Although the picture is a bit blurry towards the bottom, I believe the opposite exterior angle is 129°
Opposite exterior angles are equivalent by the opposite exterior angles postulate. Of course, this only applies if the transversed lines are parallel, which they are in this case, because of the small orange arrows.
Anyhow, the equation should be set up as follows:
[tex]129 = 7x-18\\129 + 18 = 7x - 18 +18\\147 = 7x\\21=x[/tex]
Have a nice day, fam. Spread The Love.
Which pictures below show pure substances?
The square pyramid below represents a tent that Wayne is making. The sides of the tent will be covered in blue fabric, and the base of the tent will be covered in brown fabric, Find the surface area that will be covered in each color of fabric, Enter your answers in the boxes.
Answer:
I am sorry I would love to help but I can't fiqure it out without the side length.
Step-by-step explanation:
btw i know its not your fault i dont see the width
A cylindrical tank has a height of 10 feet and a radius of 4 feet. Carla fills the tank with water at a rate of 8 cubic feet per minute. At this rate, how many minutes will it take Carla to completely fill the tank without it overflowing? Round your answer to the nearest minute.
The time it will take for Jane to completely fill the tank without overflowing would be 62.8 minutes.
Used the concept of the volume of the cylinder:
The volume of the cylinder can be determined using the formula,
[tex]V = \pi r^2h[/tex]
Given:
A cylindrical tank has a height of 10 feet.
The radius of the cylindrical tank is 4 feet.
Jane fills the tank with water at a rate of 8 cubic feet per minute.
Since, the volume of the cylinder:
[tex]V = \pi r^2h[/tex]
Substituting the values, we have;
[tex]V = 3.14 \times 4^2 \times 10[/tex]
[tex]V = 502.4 \tex{ feet^3 }[/tex]
Thus, the volume of the cylinder is 502.4 cubic feet.
Time taken:
The time taken can be determined using the formula,
[tex]\text{Time} = \dfrac{\text{Volume}}{\text{Rate of filling}}[/tex]
Substituting the values, we have;
[tex]\text{Time} = \dfrac{\text{502.4}}{\text{8}}[/tex]
[tex]\text{Time} = 62.8[/tex]
Thus, Jane takes 62.8 minutes to completely fill the tank without overflowing it.
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Which is the most accurate way to estimate 26% of 91?
A: 3/4 x 92
B: 1/4 x 92
C: 1/3 x 90
D: 1/2 x 90
Answer:
B
Step-by-step explanation:
26% is close to 25%, which is equal to 1/4th.
You're adding to the number and removing from the percentage so it balances it out.
The estimation of 26% of 91 is 1/4 x 92.
The correct option is (B).
What is Percentage?To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.
Given:
26% of 91
Now solving the above Quantity
= 26 /100 x 91
Now, We take 1 from 26 make it 25 and add that 1 to 91 make 92.
Then, 25 / 100 x 92
= 1/4 x 92
Hence, the estimation is 1/4 x 952.
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To the nearest inch, what is the area of a circle with a radius of 6 centimeters? EZ FREE POINTS
Answer:
36 pi or 113.04 cm squared
Step-by-step explanation:
Answer:
A≈113.1cm²
Step-by-step explanation:
What is the length of side PQ in this figure?
5
P
R
6
3
O A. 4
OB. 14
O C. 52
OD. 161
Reset
Next
Answer:
c. 52
Step-by-step explanation:
since that triangle QRE is a right angle triangle
therefore QE = root 5²_3² = 4 cm " pythagorean "
since triangle PQE is a right angle triangle
therefore PQ= root 4²+6²= 2 root 13 = root 52
The length of side PQ in the figure given in the task content is; 6.48.
What is the length of side PQ?We are required to determine the length of side PQ;
It follows from Pythagoras theorem that;
5² - 3² = (PQ)² - 6²
(PQ)² = 16 + 36
PQ = √42.
PQ = 6.48
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prime factorization of 154
Answer:
The prime factors of 154 are 2, 7, 11.
Step-by-step explanation:
Answer:
See below
Step-by-step explanation:
[tex]154 = 2 \times 7 \times 11[/tex]
HURRYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY
Find the new amount.
1. Increase 25 by 24%
2. Increase 120 by 75%
3. Decrease 35 by 60%
4. Decrease 72 by 65%
Amy works 15 hours a week at the movie theater. She earns $8 an hour. What statement is true about her weekly income? A) Her net income is more than $120. B) Her gross income is less than $120. C) Her net income is less than $120. D) Her gross income is more than $120.
Answer: Her net income is less than $120.
Step-by-step explanation:
Based on the information given, the gross income for Amy will be:
= 15 × $8
= $120
Net income is the income that an individual has left after tax and every other necessary deductions have been removed. Therefore when this is done, the net income for Amy will be less than $120
What is the area of this tile? 10 in 8 in. 6 in.
Answer:
i think 24
Step-by-step explanation:
1/2 H x B
6 x 8 =48 1/2 is 24
The area of the tile is 24 square in.
What is a triangle?A triangle is a flat geometric figure that has three sides and three angles. The sum of the interior angles of a triangle is equal to 180°. The exterior angles sum up to 360°.
For the given situation,
The tile is in the shape of right triangle.
The sides of triangle are 10 in, 8 in, 6 in.
Here, Base of the triangle,b = 6 in
Height of the triangle,h = 8 in
The formula of area of triangle is
[tex]Area = \frac{1}{2}(base) (height)[/tex]
⇒ [tex]A=\frac{1}{2}(6)(8)[/tex]
⇒ [tex]A=24[/tex]
Hence we can conclude that the area of the tile is 24 square in.
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Which of the following inequalities defines the graph below
Answer:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
I need help with this question ( see image). Please show workings.
Answer:
14) (C) 8√2 km
15) (C) 225°
Exercise 15.17 (D) 8.7 km
Step-by-step explanation:
14)
d² = 8² + 8² = 64 + 64 = 128
d = √128 = 8√2 km
15) 180° + 45° = 225°
Exercise 15.17
QR² = 10² - 5² = 100 - 25 = 75
QR = √75 = 5√3 = 8.7 km
Answer:
Kofi, the building and the tree form an isosceles right triangle KTB.
Refer to picture
15.15The distance KB is the hypotenuse and its length is:
KB = √8² + 8² = √64 + 64 = √128 = 8√2Correct choice is C
15.16The angles at vertices K and B equal to 45° as opposite sides are equal.
TB is a vertical line which makes angle 180°.
Add 45° to get a required bearing:
180°+ 45° = 225°Correct choice is C
15.17P, Q and R form a right triangle with PR as hypotenuse.
RQ is the missing leg and its length is:
RQ = √PR² - PQ² = √10² - 5² = √100-25 = √75 = 8.7 (rounded)Correct choice is D
Solve the compound inequality and give your answer in interval notation
4x-4 < -36 OR -2x-1 ≤ -7
Answer:
(-∞, -8) U [3, ∞)
Step-by-step explanation:
4x - 4 < -36 OR -2x -1 ≤ -7
4x < -32 OR -2x ≤ -6
x < -8 OR x ≥ 3 *divide by a negative, switch inequality
(-∞, -8) U [3, ∞)
what is the slope of this line
Answer:
y=-4
Step-by-step explanation:
Please I need help!! Please anyone that sees this could you please help me. I don't understand it.
9514 1404 393
Answer:
M = (0, 0), which IS the origin
Step-by-step explanation:
The midpoint is given by the formula ...
M = (A + B)/2
M = ((4, -6) +(-4, 6))/2 = (4-4, -6+6)/2 = (0, 0)/2
M = (0, 0) . . . . . IS the origin
COME ON LASTTT ONESSSSSSSSSSSSSSS
Answer:
Answer
Correct option is
D
all of the above
For any two rational numbers a and b,
(a+b),(a−b),(b−a) & (a×b) are all rational numbers.
Thus, rational numbers are closed under addition, subtraction and multiplication.(for the first one)
Answer:
The sum of x and y is a rational number
Step-by-step explanation:
X+Y or 5+7=12
A rational number is any number that can be divided without going on and on forever. ( for the 2nd one)
The diagram shows the dimensions of a diving pool 16 ft 25 ft 20 ft so what's the volume of the dividing pool?
A. 61 cubic feet
B. 320 cubic feet
C. 500 cubic feet
D. 1440 cubic feet
E. 8000 cubic feet
PLS HELP
Answer:
8000 cubic feet
Step-by-step explanation:
Volume of the pool = Length * Width * height
Given
Length =16ft
Width = 25ft
Height = 20ft
Substituting into the formula
Volume = 16 * 25 * 20
Volume of the pool = 8000 cubic feet
i’m bad at decimals help plz
Answer:
<
Step-by-step explanation:
Because 3 < 4
Answer:
its <
Step-by-step explanation:
60.3 is greater than 60.44
If you break it down kinda it would be 60.30 and 60.44 and 44 is greater than 30.
At least pet snake is 42 inches long and Royals pet snake is 8 feet long.How many inches longer is Royals snake
Answer:
54 inches
Step-by-step explanation:
At least pet snake is 42 inches long and Royals pet snake is 8 feet long.How many inches longer is Royals snake
Step 1
We would be converting the length of the Royal's pet snake to inches
1 foot = 12 inches
8 feet = x
Cross Multiply
x = 8 × 12 inches
x = 96 inches
Step 2
How many inches longer is Royal's snake?
This is calculated by subtracting the length of the Royal's pet snake from the least length
= 96 inches - 42 inches
= 54 inches
Therefore, the Royal's snake is 54 inches longer
Please solve no need for explanation
Answer:
I am not sure
Step-by-step explanation:
But I think I know
Answer:
Step-by-step explanation:
n=0
w=3120
i=[tex]\sqrt 2[/tex]
q=[tex]\frac{-6}{7}[/tex]
r=5.123456...
Guys help me on this which is the correct answer:((
Answer:
A
Step-by-step explanation:
find x.
1. subtract 7 from 23 to get 16. then you dived 16 by -2 which gets you -8 so x is less than -8 :))
Find the area and thank
Answer:
6 meters
Step-by-step explanation:
This is a right triangle (indicated by the little square in the corner), so it's like half a square. Formula for a right triangle's area is [tex](base*height)[/tex] ÷ 2. So in this situation:
[tex](3*4)=12[/tex] ÷ [tex]2 = 6[/tex]
Step-by-step explanation:
0.5×base×height
Area =1/2×4×3=6