Factor the expression below.
x² - 64
O A. (x - 16)(x-4)
B. (x+16)(x-4)
O C. (x-8)(x-8)
O D. (x+8)(x-
Answers
Answer:
(x-4)(x+4)
Step-by-step explanation:
x^2 - 64 = x^2 - 4^2 = (x-4)(x+4)
Related Questions
A rain jacket that usually costs r dollars is available at a discount. Drag and drop two
expressions to show the correct price of the rain jacket in the spaces provided.
10.2r
0.3r
0.4r
0.5r
(0.6r
0.8r
The price of the rain jacket after a 20% discount:
The price of the rain jacket after a 40% discount:
Answers
The price of the rain jacket after a 20% discount will be 0.2r and the price of the rain jacket after a 40% discount will be 0.4r.
What is the percentage?The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol 'percent' is used to symbolize it.
A rain jacket that usually costs r dollars is available at a discount.
Drag and drop two expressions to show the correct price of the rain jacket in the spaces provided.
The price of the rain jacket after a 20% discount will be
→ 0.2r
The price of the rain jacket after a 40% discount will be
→ 0.4r
More about the percentage link is given below.
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The most economical proportion for a right circular cone is to have its height three times long as its base diameter. What lateral area of the cone would produce a volume of 100m^3.
Answers
9514 1404 393
Answer:
∛(2500π)√37 m² ≈ 120.911 m²
Step-by-step explanation:
If the height is 3 times the diameter, it is 6 times the radius. Then the volume is ...
V = 1/3πr²h
V = 1/3πr²(6r) = 2πr³
For a volume of 100 m³, the radius is ...
100 m³ = 2πr³
r = ∛(50/π) m
The lateral area of the cone is computed from the slant height. For this cone, the slant height is found using the Pythagorean theorem:
s² = r² +(6r)² = 37r²
s = r√37
Then the lateral area is ...
LA = πrs
LA = π(∛(50/π) m)(∛(50/π) m)√37
LA = ∛(2500π)√37 m² ≈ 120.911 m²
The lateral area of the economical cone with a volume of 100 m³ is 120.911 m².
What is the lateral area of the cone?The lateral area of the cone is the curved area of the cone, therefore, the total area of the cone is without the base area.
As we know that the volume of the cone is given by the formula,
[tex]V = \dfrac{1}{3}\pi r^2h[/tex]
Now, for the right circular cone to be economical, the height must be 3 times the diameter or it should be 6 times the radius. Therefore, the economical volume can be written as,
[tex]V = \dfrac{1}{3}\pi r^2h\\\\V = \dfrac{1}{3}\pi r^2(6r)[/tex]
Now, if cancel out the 3 in the remainder with the six in the numerator, the volume of the cone can be written as,
[tex]V = 2\pi r^3[/tex]
Further, we need to calculate the lateral area of the cone, whose volume is 100 m³. Now, in order to get the radius of the economic cone with the volume of 100 m³, substitute it with 2πr³,
[tex]V = 2\pi r^3\\\\100 = 2\pi r^3\\\\r = 2.5154\rm\ m[/tex]
We know that in order to calculate the lateral area of the cone we need to calculate the slant height. Thus, according to the Pythagorean theorem, the slant height can be written as
[tex]s^2 = r^2 +(6r)^2\\\\ s^2 = 37r^2\\\\ s = r\sqrt{37}[/tex]
Now, the lateral area of the economical cone with the volume of 100 m³ can be written as,
[tex]LA = \pi rs\\\\LA = \pi \times r \times r\sqrt{37}\\\\LA = \pi \times r^2 \times \sqrt{37}\\\\LA = \pi \times (2.5154)^2 \times \sqrt{37}\\\\LA = 120.911\rm\ m^2[/tex]
Hence, the lateral area of the economical cone with a volume of 100 m³ is 120.911 m².
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Identify the percent of change as an increase or decrease. $24 to $18
Answers
Answer:
Step-by-step explanation:
$24-$18
-6$
it is decrease
so,
decrease %=$6/$24*100
=600/24
=25%
Answer:
its a decrease of 25%
Step-by-step explanation:
1/4 of 24 is 6 and if you subtract 6 from 24 its 18 and 1/4 is 0.25 so its 25%.
The base length of a triangle is 4 feet and the height is 2 feet. What is the area of the triangle? (5 points) a 2 square feet b 4 square feet c 6 square feet d 8 square feet
Answers
Answer:
B. 4 square feet
Step-by-step explanation:
The formula for area of a triangle is length x height / 2 so 4 x 2 is 8 then divided by 2 is 4.
Answer: 4
Base 4
hight 2
4x2=8 ÷ 2 or 1/2 Equals 4
Formula L x W ÷ 2 or 1/2
helppppppppppppppppppppppppppppppppppppppppp
Answers
Answer:
character
Step-by-step explanation:
I think Character because character is basically position and who you're playing as
Given that ABCD is an inscribed quadrilateral and m(∠DAB)=78°. What is m (DAB)
Answers
Answer:
Step-by-step explanation:
I'm going to go out on a limb here and guess that you are looking for the answer to the measure of arc DAB, since we already know that angle DAB is 78. Angle DAB is an inscribed angle. That inscribed angle intercepts arc DCB, and the theorem for that is that an inscribed angle is half the measure of the arc it intercepts. That means that arc DCB measures twice 78, so arc DCB measures 156 degrees. Since the measure around the outside of any circle is 360 degrees, arc DAB is 360 - 156 which is 204 degrees. If this is not what you are looking for, sorry and be more specific next time.
A government agency estimates the number of young adults (ages 18 to 24) in a particular country to be 31,000 (in thousands) in 2010 and changing at the rate of −x2 + 90x − 200 thousand per year, where x is the number of years since 2010. Find a formula for the size of this population at any time x. [Hint: Keep all calculations in units of thousands.]
Answers
Answer:
[tex]\mathbf{L(x)= ( - \dfrac{1}{3})x^3 + 45x^2 -200x +31000}[/tex]
Step-by-step explanation:
From the given information:
Let assume the population is denoted by L
The rate of change of the young adults per year given can be represented as;
[tex]\dfrac{dL}{dx}= -x^2 +90x - 200[/tex]
where;
x = 0 since 2010
[tex]dL = -x^2 +90x -200 dx[/tex]
[tex]L = \int( -x^2 +90x -200 ) \ dx[/tex]
[tex]L = - \dfrac{1}{3}x^3 + 45x^2 -200x +C[/tex]
here;
L(0) = 31000
∴
[tex]- \dfrac{1}{3}(0)^3 + 45(0)^2 -200(0)+C= 31000[/tex]
C = 31000
[tex]\mathbf{L(x)= ( - \dfrac{1}{3})x^3 + 45x^2 -200x +31000}[/tex]
a) Work out (8 x 10*) * (2 x 10-)
Give your answer in standard form.
b) Work out (6 x 10?) + (3 x 10°)
Give your answer in standard form.
Answers
Answer:
A. 16 × 10¯⁷
B. 2 × 10⁷
Step-by-step explanation:
A. 8×10¯³ × 2×10¯⁴
Recall:
Mᵃ × Mᵇ = Mᵃ⁺ᵇ
Thus,
(8×10¯³) × (2×10¯⁴) = (8×2) × 10¯³ ⁺ ¯⁴
= 16 × 10¯³¯⁴
= 16 × 10¯⁷
Therefore,
(8×10¯³) × (2×10¯⁴) = 16 × 10¯⁷
B. (6×10²) ÷ (3×10¯⁵)
Recall:
Mᵃ ÷ Mᵇ = Mᵃ¯ᵇ
Thus,
(6×10²) ÷ (3×10¯⁵) = (6/3) × 10² ¯ ¯⁵
= 2 × 10²⁺⁵
= 2 × 10⁷
Therefore,
(6×10²) ÷ (3×10¯⁵) = 2 × 10⁷
What is the length of BD?
Answers
Answer:
From -6 to positive 1 the length is 7
Step-by-step explanation:
you still add'em.
Answer:
length of BD is 18
just count on the number line and ×2 because it is counting on by 2
.....................
Answers
Answer:
Final volume, V2 = 8.57 liters
Step-by-step explanation:
Given the following data;
Initial volume, V1 = 7.7 liters
Initial pressure, P1 = 6.9 atm
Final pressure, P2 = 6.2 atm
To find the new volume V2, we would use Boyles' law.
Boyles states that when the temperature of an ideal gas is kept constant, the pressure of the gas is inversely proportional to the volume occupied by the gas.
Mathematically, Boyles law is given by;
[tex] PV = K[/tex]
[tex] P_{1}V_{1} = P_{2}V_{2} [/tex]
Substituting into the equation, we have;
[tex] 6.9 * 7.7 = 6.2*V_{2} [/tex]
[tex] 53.13 = 6.2V_{2} [/tex]
[tex] V_{2} = \frac {53.13}{6.2}[/tex]
[tex] V_{2} = 8.57 [/tex]
Final volume, V2 = 8.57 liters
Therefore, the new volume is 8.57 liters.
Answer:
just greeting so that the other one can get a brainliest (would be kind if the favor would be returned :D )
26 divided by a number r
Answers
Answer:
26 ÷ r
Step-by-step explanation:
Is your expression.
Using the keywords divide you can identify the expression, its showing you divide 26 by r, r in this case is your unknown value(variable). This expression is showing what you divide. You can also consider this as 26/r
Answer:
26/r
Step-by-step explanation:
So when they say a number they are meaning r.
Now lets break this into two simpler pieces.
When they say dividing by r they mean over r, or:
[tex]\frac{}{r}[/tex]
They say 26 is what is being divided by, which means 26 over, or:
[tex]\frac{26}{}[/tex]
Now we just need to combine these two pieces together:
[tex]\frac{26}{r}[/tex]
So this is your answer!
Hope this helps!
Help pls this is 5th grade math
Answers
Answer:
2 is scalene
3 is right
4 is right
5 is equalatirel
6 is scalene
7 is isocoles
8 is equalatirel
9 is right
Step-by-step explanation:
Answer:
2: scalene
3: right
4: right
5: equilateral
6: scalene
7: isosceles
8: equilateral
9: right
Step-by-step explanation:
2: A scalene triangle has no congruent sides
3: A right triangle has a 90 degree angle
4: A right triangle has a 90 degree angle
5: An equilateral triangle has 3 congruent sides
6: A scalene triangle has no congruent sides
7: An isosceles triangle has 2 congruent sides
8: An equilateral triangle has 3 congruent sides
9: A right triangle has a 90 degree angle
A garden table and a bench cost $672 combined. The garden table costs $78 less than the bench. What is the cost of the bench?
Answers
Answer:
b = $375
Step-by-step explanation:
b = cost of the bench
t = cost of the table
t = b - 78
b + b - 78 = 672
2b = 750
b = $375
Khloe is thinking of a number that is 2 times the value of Carl's number. Khloe's number is also 2 more than 4 times the value of Carl's number. What is Khloe's number?
Answers
0 = 2c +2.
Subtracting 2 from both sides, we get
0-2 = 2c +2 -2
-2 = 2c
Dividing both sides by 2, we get
-2/2 = 2c/2
-1 =c.
Plugging c=-1 in first equation,
k=2(-1) = -2.
So the answer is -2.
Determine the length of CD.
Question 13 options:
A)
10.77 units
B)
3.74 units
C)
6.32 units
D)
9.17 units
Answers
Answer:
The answer is 6.32
Step-by-step explanation:
According to the Altitude Geometric Mean Theorem, the length of the altitude of a triangle is the geometric mean of the lengths of the 2 segments is divides the hypotenuse into.
CD= Altitude
CD^2= 4 times 10
or
CD= The square root of 4 times 10
Square root of 4 times 10 is 6.3245553203
Two figures are known as similar figures if there the corresponding angles are equal and the corresponding sider is in ratio. The length of CD is 6.32 units. The correct option is C.
What are Similar figures?Two figures are known as similar figures if there the corresponding angles are equal and the corresponding sider is in ratio. It is denoted by the symbol "~".
In ΔBDC and ΔABC, the two angles are given,
∠D = ∠C = 90°
∠B = ∠B {Common}
Therefore, the two triangles are similar triangles, thus, the ratio of the sides can be written as,
CB / AB = CD / AC = DB / CB
Now, the ratio can be solved as,
CB / AB = DB / CB
CB / 14 = 10 / CB
CB² = 14 × 10
CB = √140
Further, in triangle ABC using the Pythagorean theorem, we can write,
AB² = CB² + AC²
14² = (√140)² + AC²
196 - 140 = AC²
AC = √56
Again, using the ratio of the similar triangle, we can write,
CD / AC = DB / CB
CD / √56 = 10 / √140
CD = (√56 × 10)/√140
CD = 6.32 units
Hence, the length of CD is 6.32 units.
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A farmer sells 8.2kg of apples and pears at the farmers market. 4/5 of this weight is apples and the rest is pears. How many kg of pears did she sell at the market?
Answers
9514 1404 393
Answer:
1.64 kg of pears
Step-by-step explanation:
If 4/5 of the weight is apples, the remaining 1/5 is pears.
(1/5)(8.2 kg) = 1.64 kg
She sold 1.64 kg of pears.
Answer:
Solution :-Weight of pears = 1 - Weight of apple
=> 1 - 4/5
=> 5 - 4/5
=> 1/5
Now
Weight of pears = ⅕ × 8.2
Weight of pears = 1.64 kg
[tex] \\ [/tex]
If Sofia randomly picks a number from 1 to 25, what is the probability that the number will have “1” as one of the digits?
Answers
Tyrone is building a skateboard ramp with a piece of plywood that is 33 feet long.He wants the height of the ramp to be 22 feet.To make a strong ramp, the base must form a right angle with the back of the ramp.What will be the length of the base rounded to the nearest tenth of a foot?
please hurry and and please show your work!!
Answers
Answer:
24.6 ft
Step-by-step explanation:
Use the Pythagorean theorem.
a^2 + b^2 = c^2
a^2 + (22 ft)^2 = (33 ft)^2
a^2 + 484 ft^2 = 1089 ft^2
a^2 = 605 ft^2
a = 24.6 ft
Answer: 24.6 ft
What is the answer to this equation 4y+3y+2y=
Answers
4y + 3y + 2y = 9y
9y is the answer
Plz mark me brainliest
answer is 100% correct
Which expressions are equivalent to -3(t - 7 + 5t + 8)?
Answers
Answer: It's B, C, F Hope it helps!
Step-by-step explanation: -3(t-7+5t+8) collect like terms -3(6t+1)
which would give you -18t-3
It C to because 1. expand by distributing terms -(18t+9)+6
2. Remove parentheses -18t-9+6
3. Collect like terms -18t+(-9+6) simplify and it would give you -18t+3 it also F because I collect like terms (-3t-15t)+(21-24) and you simplify and that would give you -18t-3 as well can you make me brainliest bye!
Borrows 15,200 for 10 months at an annual rate of 4.55%. What is the interest owed after 10 months
Answers
the answer in the photo check it
Solve the quadratic equation graphically using at least two different approaches. When necessary, give your solutions to the nearest hundredth.
x squared + 12 x + 11 = 0
a.
x = -11 or x = -1
c.
x = 10 or x = -3
b.
x = 1 or x = 6
d.
x =0 or x = -6
Please select the best answer from the choices provided
A
B
C
D
Answers
Answer:
answer a
a.
x = -11 or x = -1
Write the length of the radius if the diameter is 6 centimeters
Answers
Answer:
3 centimeters
Step-by-step explanation:
The diameter is 2 times the radius, meaning 6/2 is 3.
Answer:
3cm (This is because diameter is double the radius)
Which answer choice below best describes the number (22 + 6)
Answers
Answer:
You FAILED to include any choices.
Step-by-step explanation:
Joseph had 3 gallons of lemonade. He wanted to give each of his 1/8
friends of a gallon. How many friends would receive lemonade?
Answers
Explanation:
If you have 3 gallons and want to give out 1/8 to each friend so you finish the 3 gallons, you will need to have 24 friends finish all of it up because:
3 ÷ 1/8 = 24
If y have questions talk to me
A brainliest would be nice if I got it correct!
-SpaceMarsh
What is the additive inverse of 36?
Answers
Answer:
The additive inverse of 36 is −36.
Step-by-step explanation:
Answer:
-36.
Step-by-step explanation:
Additive inverses are basically the opposite of the number, for example, since 36 in this case was positive you need to make it negative.
Numerical expressions for add 12 to 8 then multiply by 5
Answers
Answer:
5(8+12)
Step-by-step explanation:
helpp!! last question :( A. (4, 1) B. (4, -1) C. (-4, -4) D. (-4, 1)
Answers
Answer:
A
Choice A point is just above (4,-1) by an increase of y by 2
los trabajadores de una mina se encuentran a 20 metros bajo tierra .Si excavan 3 metros desde alli suben otros 8 metros para coger una caretilla a que altura estaba la carretilla
Answers
Answer:
carretilla
Step-by-step explanation:
la carretilla se encontraba a unos 18 metros de altura
girlcome 5324611502
p:1234
Answers
Answer:
ok then
Step-by-step explanation:
Answer:
Subscribe to my animations Y0UTUBE channel! Channel name: Let Me Explain Studios. Have a nice day!
Step-by-step explanation: