Step-by-step explanation:
Let x = m² and y = 4n.
Then m⁶ - 64n³ = x³ - y³
= (x - y)(x² + xy + y²)
= (m² - 4n)(m⁴ + 4m²n + 16n²).
. What is the value of x in the equation .5(x-2) = 3(x-4) - 14?
Answer: -8
Step-by-step explanation:
Solve for x
5 (x − 2) = 3 (x − 4) − 14
5x − 10 = 3 (x − 4) − 14
5x − 10 = 3x − 12 − 14
5x − 10 − 3x = −26
2x = −26 + 10
2x = −16
x = −8
Answer:
answer of this equation is (-8)
:-))
Consider the volume of a rectangular pyramid, one whose base is not square. Does changing one of the three variables (length, width, or helght)
by a given fraction have a greater effect on the volume of the pyramid than changing either of the other two variables? That is, which variable, if
any, has the largest influence on the volume? Assume that the other two variables remain constant. Explain your answer.
Answer:
dobt worry il heñp il solve
HEEEEEEEEEEELPPPPPPPPP PLEASEEEEEEE URGENT 15 POINTS+ MORE
Answer:
y - 70, x - 73 should be the answer
Step-by-step explanation:
A circular disc has an area that measures between 1,650 and 1,700 square inches. What could be the length of its radius? Use 3.14 for . 23 in. 24 in. 25 in. 26 in.
Answer:
23 in
Step-by-step explanation:
We know the area of the circular disc is A = πr² where r = radius and π = 3.14.
So, r = √(A/π)
Now, if A = 1650 square inches,
r = √(A/π)
= √(1650 in²/π)
= √525.48 in²
= 22.92 in
≅ 22.9 in
Also, if A = 1700 square inches,
r = √(A/π)
= √(1700 in²/π)
= √541.40 in²
= 23.27 in
≅ 23.3 in
If the area is between 1650 in² and 1700 in², that is 1650 in² < A < 1700 in²
then, the radius is between 22.9 in < r < 23.3 in.
Since the left and right side of the inequality are approximately 23 in, the radius of the circular disc is 23 in.
The length of the radius of the circular disc is approximately is 23 in.
Hence, option A)23 in is the correct answer.
What is a circle?A circle is simply a closed 2-dimensional curved shape with no corners or edges.
The area of a circle is expressed mathematically as;
A = πr²
Where r is radius and π is constant pi ( π = 3.14 )
Now, if the area of the circular disc is 1650in², the radius r will be;
A = πr²
1650in² = 3.14 × r²
r² = 1650in² / 3.14
r² = 525.4777in²
r = √( 525.4777in² )
r = 22.9in
Also, if the area of the circular disc is 1700in², the radius r will be;
A = πr²
1700in² = 3.14 × r²
r² = 1700in² / 3.14
r² = 541.40127in²
r = √( 541.40127in² )
r = 23.3in
Next we take the average of the two radii
Radius = ( 22.9in + 23.3in )/2 = 46.2/2 = 23.1 ≈ 23 in
The length of the radius of the circular disc is approximately is 23 in.
Hence, option A)23 in is the correct answer.
Learn more about circles here: https://brainly.com/question/11952845
#SPJ5
Which shows the following expression after the negative exponents have been eliminated?
A^3 b^-2/ab^-4
A=/0, b=/0
Answer:
[tex]\frac{a^3b^{-2}}{ab^{-4}} = a^{2}b^{2}[/tex]
Step-by-step explanation:
Given
[tex]\frac{a^3b^{-2}}{ab^{-4}}[/tex]
[tex]a\ne 0; b \ne 0[/tex]
Required
Evaluate
[tex]\frac{a^3b^{-2}}{ab^{-4}}[/tex]
Apply the following law of indices:
[tex]\frac{x^m}{x^n} = x^{m-n}[/tex]
So, the expression becomes:
[tex]\frac{a^3b^{-2}}{ab^{-4}} = a^{3-1}b^{-2-(-4)}[/tex]
Remove brackets
[tex]\frac{a^3b^{-2}}{ab^{-4}} = a^{3-1}b^{-2+4}[/tex]
[tex]\frac{a^3b^{-2}}{ab^{-4}} = a^{2}b^{2}[/tex]
Answer:
D. a^3 b^4 / ab^2
Step-by-step explanation:
Antonio baked 150 muffins. Of all the muffins he baked, 46% of them were blueberry. How manyy blueberry muffins did antonio bake?
Answer: he baked 69 muffins
Step-by-step explanation:
Emma made a scale model of the Sam Houston's monument. The monument's actual height is 67 ft tall. Emma is using a scale where 1 inch is 10 ft. What is the height of Emma's model?
Answer: 6.7inch
Step-by-step explanation:
From the question, we are informed that Emma made a scale model of the Sam Houston's monument and that the monument's actual height is 67 ft tall but Emma is using a scale where 1 inch is 10 ft.
The height of Emma's model will therefore be 67ft divided by 10 since he's using a scale of 1:10. This will be:
= 67/10
= 6.7inch
Mariah is training for the marathon. Today she ran 12 miles for 1 hour and 30 minutes . If the relationship between her distance covered and the number of minutes is proportional, write an equation that Mariah can use to represent the proportional relationship between her distance ( d ) and her time ( t).
Answer:
d= 8 t
Step-by-step explanation:
In 1 hour 30 minutes it ran for 12 miles.
So, time t =1.5 hours(Because 1 hour 30 minutes)
distance d =12
We know distance d= rate 'r' * time 't'.
So, using given information , find the rate
12= r *1.5
Divide both sides by 1.5
8=r
So, equation would be d =8 t.
Where 't' is in hours.
Factor 2mp - 3p - 4m - 6
Answer: mp • (3m3 + 8m2p - 2p2)
Step-by-step explanation:
3m4p + 8m3p2 - 2mp3 = mp • (3m3 + 8m2p - 2p2)
8.2 Factoring 3m3 + 8m2p - 2p2
What is m Help please!
9514 1404 393
Answer:
40°
Step-by-step explanation:
The similarity statement tells you that angles W and P have the same measure. The sum of angles in the triangle is 180°, so we have ...
∠R +∠W +∠T = 180°
85° +55° +∠T = 180°
∠T = 180° -140°
∠T = 40°
Marty had 10 pens. Four of these pens were blue. What is one way to show the ratio of blue pens to the total number of pens Marty had?
Answer: 2:5 or 2/5
Step-by-step explanation:
Since he has 10 pens, that will be the denominator and the # of blue pens will be the numerator. This gives you 4/10 which you simplify to get 2/5.
Wyatt has 32 marbles in his collection. Twenty of his marbles are red, four are blue, and the
rest are green. What part of Wyatt's marbles are red?
Answer:
6 and 2/5
Step-by-step explanation:
20% of 32 is 6.4
Solve for X:
5x+3x=2(4x-5)-2
Answer: I got -1, I honest don’t know if i was doing it right so here is my explanation
Step-by-step explanation:
I distributed 2(4x-5)
5x+3x=20x-10-2
Sub 3x for 20x
5x=17x-10-2
Sub -10-2
5x=17x-12
Sub 5x-17x
12x=-12
Divide
Equals -1
Sry it took me a bite
What is the slope of a line that passes through the origin and the point (-2,1)?
Given:
A line passes through the origin and the point (-2,1).
To find:
The slope of the line.
Solution:
If a line passes though two point, then the slope of the line is
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
It is given that a line passes through the origin, .i.e., (0,0) and the point (-2,1). So, the slope of the line is
[tex]m=\dfrac{1-0}{-2-0}[/tex]
[tex]m=\dfrac{1}{-2}[/tex]
[tex]m=-\dfrac{1}{2}[/tex]
Therefore, the slope of the line is [tex]-\dfrac{1}{2}[/tex].
Find the smallest non-zero whole number which can be multiples by 112 to give a cube number
Answer is : Step-by-step explanation:
Given Find the smallest non-zero whole number which can be multiplied by 112 to give a square number and a cube number.
So cube root of 21,952 will be 28.
Reference link will be.
brainly.in/question/4396403.
hope it helps
Answer:
176.
Step-by-step explanation:
112 = 2*2*2*2*7
For a cube number there must be 3 or a multiple of 3 of each factor.
So we multiply by 2*2 and 7 * 7 to give 2^6 * 7^3 which is 21952.
The answer is 4*49
= 176.
Checking that 21952 is a cube:
- the cube root is 28,
Find AC.
Round to the nearest tenth.
B
86°
16
С
11
A
Answer:
19.4
Step-by-step explanation:
16^2+11^2=377
then square 377 which will equal to
19.416 which can be rounded up to 19.4
Urgent please help..
Mr. Cooper wet to the market looking to purchase some fried chicken meals to bring home for
dinner. In the Prepared Foods section of the market, fried chicken meals were on special $19 for 4
meals. Mr. Cooper needs 6 fried chicken meals to feed everyone at home. How much will it cost Mr.
Cooper to purchase fried chicken meals for his family?
Answer:
I don't believe there is enough information to answer the question.
Step-by-step explanation:
Either Mr. Cooper buys two 4 for 19$ specials for 38$ and has two left over, or he buys one special and then buys two individual fried chicken meals. The question does not tell us how much an individual chicken meal costs.
Answer:
$28.50
Step-by-step explanation:
19/4=4.75
4.75•6=28.50
A cat adoption facility takes in an average of 4 cats per day. The facility has to keep their cat occupancy below 200. Currently, the facility has 164 cats. If none of their cats get adopted, how many more days, x, can the facility continue to take in cats? Select the inequality that includes the largest number of days this facility can continue to take in cats without exceeding its occupancy limit.
I HAVE 15 MINUTES OFFERING ALL MY POINTS
Find the value of x and y
Answer:
y = 23
x = 28
Step-by-step explanation:
Find y first.
3y + 5y - 4 = 180 The two angles are supplementary if the all the lines are parallel. Combine the left side.
8y - 4 = 180 Add 4 to both sides
8y - 4 + 4 = 180 + 4
8y = 184 Divide both sides by 8
y = 23
====================================
Now if the lines are parallel, then 3y = 2x + 13
But we already know y
3*23 = 2x + 13 Do the multiplication
69 = 2x + 13 Subtract 13
56 = 2x Divide by 2
x = 56/2
x = 28
Answer:
y = 23
x = 28
Step-by-step explanation:
Shoooooot i am so late with this answer, so so sorry haha-
and i'm no gonna do the explanation because the guy above me did a fairly well explanation of how i solve them too.
uhm, have a good day!
Cool-Down
A meal costs $20 before tax and tip.
There is a 8% sales tax. After the tax, a 15% tip is
added.
What is the total after tax and tip?
Answer:
24.84$
Step-by-step explanation:
You multiply 20 by 0.08 which equals 1.6
then you add 20 + 1.6 which equals 21.6
then you multiply 21.6 by 0.15 which equals 3.24
24.84
In the circle, O is the centre and AB is a diameter.
a) Work out the size of angle a.
b) Work out the size of angle b.
Answer:
Step-by-step explanation:
Answer:
a). m∠a = 62°
b). m∠b = 118°
Step-by-step explanation:
a). Since, an angle inscribed in a semicircle is a right angle,
m∠ACB = 90°
By triangle sum theorem in ΔABC,
m∠CAB + m∠ACB + m∠ABC = 180°
28° + 90° + m∠ABC = 180°
118° + m∠ABC = 180°
m∠ABC = 180°- 118°
a = 62°
b). Since, quadrilateral ABCD is a cyclic quadrilateral,
m∠ADC + m∠ABC = 180°
b + a = 180°
b + 62° = 180°
b = 180° - 62°
b = 118°
Determine the range of the following graph:
Answer:
-9≤y≤0
Step-by-step explanation:
-4≤x≤4 DOMAIN
-9≤y≤0 RANGE
I'm pretty sure this is correct but I haven't done it in a while
are 9x+15 and -9x-15 equivalent expressions
Answer:
Step-by-step explanation:
Yes!
what?
djsbzizbssisns
Answer:
[tex]8x^{2}y^{4}[/tex] Answer B and C
Step-by-step explanation:
When a variable gets squared it looks like this (the exponent gets cut in half):
[tex]\sqrt{x^{2} }[/tex]=[tex]x[/tex]
So The square root of 64 is 8:
8
Then the next two exponents cut in half:
[tex]x^{2} y^{4}[/tex]
Then we put it back together:
[tex]8x^{2}y^{4}[/tex]
Letter B is the correct choice along with C because of distributive Property.
10
Convert from Standard Form to Slope-Intercept Form *
(10 Points)
-4y + 2x = -20
Enter your math answer
Submit
what is 246 588 rounded to the ten thousands place
9514 1404 393
Answer:
250,000
Step-by-step explanation:
The thousands digit is more than 4, so the ten-thousands digit is increased by 1 before digits to its right are replaced by zeros. The rounded number is ...
250,000
Complete the statement. Round to the nearest hundredth if necessary.
4 ft = ?m
Answer:
1.2192m
Step-by-step explanation:
Giving brainliest!!!???
Answer:
B.
Step-by-step explanation:
Since they are talking about the weight of the box increasing I think (correct me if I am wrong) that the answer would be w.
I hope this helps :)
Adrián compró una bicicleta cuyo precio original es de 400.00 pesos pero al pagar en la caja le hicieron 20% de descuento cuánto pagó al niño para la bicicleta
Answer:
320 pesos
Step-by-step explanation:
Un 20% de descuento en formato decimal es 0.20. La totalidad de la bicicleta es representada como 100% o 1 y nosotros queremos saber el precio despues del descuento que seria
100% - 20% = 80% o 0.80
Ahora simplemente multiplicamos este decimal por el valor original de la bicicleta para saber el precio descontado...
400 * 0.80 = 320 pesos