Answer:
2 (2x^2 + x - 5)
Step-by-step explanation:
Factor 2 out of 4 x^ 2
Factor 2 out of 2 x
Factor 2 out of − 10
Factor 2 out of 2 (2x^2) + 2x
Factor 2 out of 2 ( 2 x^ 2 + x ) + 2 ⋅ − 5
Hope this can help you
We use the formula V = πr2h to find the volume of a cylinder. Make h the subject of the formula.
Answer:
V / ( pi r^2) = h
Step-by-step explanation:
V = pi r^2 h
Divide each side by pi r^2
V / ( pi r^2) = pi r^2 h / pi r^2
V / ( pi r^2) = h
f(x)=2-3x domain= {-1,0,1,2}
Answer:
range = {5, 2, -1, -4}
Step-by-step explanation:
Maybe you want the corresponding range.
f({-1, 0, 1, 2}) = 2 -3{-1, 0, 1, 2} = 2 +{3, 0, -3, -6} = {5, 2, -1, -4}
A wooden jewelry box has the shape of a prism with a regular hexagonal base of 85.3 in2. The sides of the hexagonal base are all 5.73 inches. If the height of the box is 18.10 inches, what is the surface area of the wood used to make the jewelry box?
Answer:
792.9 in²
Step-by-step Explanation:
Given:
Area of the base of the regular hexagonal prism box (B) = 85.3 in²
Each side length of hexagonal base (s) = 5.73 in
Height of prism box (h) = 18.10 in
Required:
Surface area of the wood used in making the hexagonal prism box
SOLUTION:
Surface area for any given regular prism can be calculated using the following formula: (Perimeter of Base × height of prism) + 2(Base Area)
Perimeter of the hexagonal base of the prism box = 6(5.73) (Note: hexagon has 6 sides.)
Perimeter of base = 34.38 in
Height = 18.10 in
Base area is already given as 85.3 in²
Surface area of the hexagonal prism box [tex] = (34.38*18.10) + 2(85.3) [/tex]
[tex] = 622.278 + 170.6 = 792.878 in^2 [/tex]
Surface area of the wood used in making the jewelry box ≈ 792.9 in²
HELP PLEASE!!
Which best describes the relationship between the lines
with equations -3x – 4y = 1 and -6x – 8y = 2?
A. Perpendicular
B. Neither perpendicular or parallel
C. Parallel
D. Same line
Answer:
same line
Step-by-step explanation:
its the exact same equation, but the second is multiplied by 2
Please answer this question now
Hello!
Answer:
[tex]\huge\boxed{V = 60 m^{3}}[/tex]
Formula for the volume of a triangular pyramid:
V = 1/3(bh)
The base is a triangle, so b = 1/2(b · h)
Solve for the base:
b = 1/2(8 · 5)
b = 1/2(40)
b = 20 m²
Solve for the volume:
V = 1/3(20 · 9)
V = 1/3(180)
V = 60 m³.
Hope this helped you!
Answer:
60 cubic meters
Step-by-step explanation:
I used the formula V = 1/3 AH to figure it out
what is the value of 600.79-40.0032+5.01 to the nearest Hundredths
Answer:
565.80
Step-by-step explanation:
600.79-40.0032+5.01 = 565.7968
565.7968 to the nearest Hundredths =
565.80
Answer:
565.80
Step-by-step explanation:
600.79 - 40.0032 + 5.01
600.79 - 40.0032 = 560.7868
560.7868 + 5.01 = 565.7968
565.7968 to the nearest hundredth = 565.80
can someone slove this −8 + x = 3
Answer:
11
Step-by-step explanation:
Subtract:
-8 + x = 3
+8 +8
--------------
x = 11
Hope this helped.
Answer:
x = 11
Step-by-step explanation:
−8 + x = 3
Add 8 to both sides
x = 11 ✓
Given 4,7,10,13. Calculate the 20th term.
Answer:
61
Step-by-step explanation:
to calculate the 20th term you use the formula
Tn=a+(n-1)d where a stands for the first term,n the number of terms and d the common difference.in this case the first term is 4 the common difference is 3 cause they were adding 3 to go to the next term.. therefore the solution will be:
Tn=4+(20-1)3
=4+19×3
=4+57
=61
the 20th term is 61
I hope this helps
the sum of two numbers is 63. one ninth of the first number plus one sixth of the second number is 21. find the numbers
Answer: x= -189, y =252
Step-by-step explanation:
Let the first number be x and second number be y
so
x + y = 63
x = 63-y
now
1/9 of x + 1/6 of y = 21
x/9 + y/6 = 21
substituting x's value from equation i
(63-y)/9 + y/6 = 21
(378-6y+9y)/54 = 21
378+3y = 1134
3y = 1134-378
so, 3y = 756
so, y = 756/3
so, y = 252
now
x = 63-252
so, x = -189
How to do this question plz answer me step by step plzz
Answer:
4 cm
Step-by-step explanation:
At 12 cm depth, the depth is 12/15 = 4/5 of the height of the container.
When the container is tipped on its side, so its height is 5 cm, the depth will still be 4/5 of the height.
(4/5)(5 cm) = 4 cm
The depth will be 4 cm.
I promise i will mark as brainiest
Answer:
A
Step-by-step explanation:
[tex] \frac{2003}{n} = z + \frac{23}{n} [/tex]
where z is an integer
[tex]2003 = nz + 23[/tex]
[tex]nz = 1980[/tex]
[tex]nz = {2}^{2} \times {3}^{2} \times 5 \times 11[/tex]
possible values of n
n= {1980, 990, 660, 495, 396, 330, 198, 180, 165, 132, 99, 90, 60, 45, 36, 30, 20, 18, 15, 5, 3}
cardinality of n=21
what is the lowest common denominator of 4 7 5 2 and 1
Answer:
140
Step-by-step explanation:
Lowest common denominator 4 , 7 ,5 , 2 and 1
= 4 * 7 * 5
= 140
Answer:
1
Step-by-step explanation:
Since usually common denominator is usually used with fractions (in this case), we can find out it's one because of how no numbers (except for 2 and 4) go into each other without a remainder except for one, so one would be the correct answer
A rectangle's perimeter is equal to 27 plus its width. The length of the rectangle is four times its width. What is the
width of the rectangle in units?
Answer:
P = 3
Step-by-step explanation:
L = 4*w
P = 27 + w
P = 2*L + 2*w = 27 + w
2L = 2*(4w) = 8w
Put that into the perimeter formula (the first one.)
P = 8w + 2w = 27 + w
10w = 27 + w Subtract w from both sides
9w = 27 Divide by 9
w = 27 / 9
w = 3
You should find the Length just so you can check it.
L = 4w
L = 4*3
L = 12
Check
P = 2L + 2w
P = 2*12 + 2*3 = 30
P = 27 + w
P = 27 + 3
P = 30 and everything checks.
kelly used 2.1 x 10^6 KB of data so far this month. her younger brother joseph used 7 x 10^5 KB of the data so far this month if their share family plan allows them to use 3,000,000 KB of the data each month, how much data usage o they have available for the remainder of this month?
Answer:
They will 200,000 kb left
Step-by-step explanation:
2.1 x 10^6=2,100,000 7 x 10^5=700,000
Find the missing probability. P(A)=720,P(B)=35,P(A∩B)=21100 ,P(A∪B)=?
The missing probability P(A∪B) will be 37/50.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
Given information;
P(A)= 7/20,
P(B)=3/5,
P(A∩B) =21/100 ,
We need to find the missing probability P(A∪B).
We know that
P(A∪B)= P(A) + P(B) + P(A∩B)
P(A∪B) = 7/20 + 3/5 + 21/100
P (A U B) = 37/50
Therefore, the missing probability P(A∪B) will be 37/50.
Learn more about probability here;
https://brainly.com/question/11234923
#SPJ5
Questions attached below (❁´◡`❁)
Problem 2
Josh forgot to apply the square root to 16 when he went from [tex](x-3)^2 = 16[/tex] to [tex]x-3 = 16[/tex]
Also, he forgot about the plus/minus.
This is what his steps should look like
[tex]x^2 - 6x - 7 = 0\\\\x^2 - 6x = 7\\\\x^2 - 6x +9= 7+9\\\\(x-3)^2= 16\\\\x-3= \pm\sqrt{16}\\\\x-3= 4 \text{ or } x-3= -4\\\\x= 7 \text{ or } x= -1\\\\[/tex]
There are two solutions and they are x = 7 or x = -1. To check each solution, you plug it back into the original equation
Let's try out x = 7
x^2 - 6x - 7 = 0
7^2 - 6(7) - 7 = 0
49 - 42 - 7 = 0
0 = 0 ... solution x = 7 is confirmed. I'll let you check x = -1
====================================================
Problem 3
We will have
a = 1, b = -4, c = 3
plugged into the quadratic formula below to get...
[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-4)\pm\sqrt{(-4)^2-4(1)(3)}}{2(1)}\\\\x = \frac{4\pm\sqrt{4}}{2}\\\\x = \frac{4\pm2}{2}\\\\x = \frac{4+2}{2} \ \text{ or } \ x = \frac{4-2}{2}\\\\x = \frac{6}{2} \ \text{ or } \ x = \frac{2}{2}\\\\x = 3 \ \text{ or } \ x = 1\\\\[/tex]
The two solutions are x = 3 or x = 1. You would check this by plugging x = 3 back into the original expression x^2 - 4x + 3. The result should be zero. The same applies to x = 1 as well.
find the area of abc
6m 20m 60m
Answer:
The area of ABC is 60m sq.
Step-by-step explanation:
Area of triangle = 1/2×base×height
so, Area=1/2×20×6
Area= 60m sq.
reduce the following rational expression to the lowest form
[tex]\frac{64x^{5} - 64x}{( 8x^{2} +8) (2x +2) }[/tex]
please answer this. But no spam answers please
hurry
Answer:
4x(x - 1)
Step-by-step explanation:
Factor the numerator and denominator
64[tex]x^{5}[/tex] - 64x ← factor out 64x from both terms
= 64x([tex]x^{4}[/tex] - 1) ← difference of squares
= 64x(x² - 1)(x² + 1) ← x² - 1 is also a difference of squares
= 64x(x - 1)(x + 1)(x² + 1)
---------------------------------
(8x² + 8)(2x + 2) ← factor out 8 and 2 from each factor
= 8(x² + 1) × 2(x + 1)
= 16(x² + 1)(x + 1)
Then expression can be written as
[tex]\frac{64x(x-1)(x+1)(x^2+1)}{16(x^2+1)(x+1)}[/tex] ← cancel (x² + 1) and (x + 1) on numerator/ denominator
= [tex]\frac{64x(x-1)}{16}[/tex] ← cancel common factor 16 on numerator/ denominator
= 4x(x - 1)
For the rational equation,[tex]\frac{x^{2}+5x+6}{x+3}=1[/tex] , what is a valid value of x?
Answer:
-3 or -1 is a valid value for x
Step-by-step explanation:
We start by cross multiplying;
So the expression becomes;
x^2 + 5x + 6 = 1(x + 3)
x^2 + 5x + 6 = x + 3
x^2 + 5x -x + 6-3 = 0
x^2 + 4x + 3 = 0
x^2 + x + 3x + 3 = 0
x(x + 1) + 3(x + 1) = 0
(x + 3)(x + 1) = 0
x + 3 = 0 or x + 1 = 0
x = -3 or x = -1
The parent council is in charge of making lemonade for field day.They purchased 19 bags of lemon.each bag has 24 lemons.The recipe says that a gallon of lemonade will require 8 lemons.they will be able to pour 12 cups of lemonade from each gallon that they make.How many cups of lemonade will the parent council be able to serve?
Answer:
684
Step-by-step explanation:
19 x 24 = 456
456 divided by 8 = 57
57 x 12 = 684
En una empresa trabajan 60 personas. Usan gafas el 16% de los hombres y el 20% de las mujeres. Si el número total de personas que usan gafas es 11. ¿Cuántos hombres y mujeres hay en la empresa?
Pregunta completa:
En una empresa trabajan 60 personas. Usan gafas el 16% de los hombres y el 20% de las mujeres. Si el numero total de personas que usan gafas es 11. ¿Cuantos hombres y mujeres hay en la empresa?
Responder:
Hombres = 25
Mujeres = 35
Explicación paso a paso:
Dado lo siguiente:
Número de personas que trabajan en la empresa = 60
Porcentaje de hombres que usan anteojos = 16%
Porcentaje de mujeres que usan anteojos = 20%
Número total de personas que usan anteojos = 11
Suponga, Número de hombres en la empresa = m
Número de mujeres = número total - número de hombres = 60 - m
Por lo tanto,
16% de los hombres = 0,16 m
20% de mujeres = 0,2 (60 - m) = 12 - 0,2 m
Por lo tanto,
0,16 m + 12 - 0,2 m = 11
- 0,04 m = 11 - 12
-0,04 m = - 1
m = 1 / 0.04 = 25
Por tanto, Número de hombres en la empresa = m = 25
Número de mujeres en la empresa = (60 - m) = (60 - 25) = 35 mujeres
4 of 204 of 20 Questions
Question 4
What is the equation of the line that is parallel to y−5=−13(x+2) and passes through the point (6,−1)?
Answer:
y= -13x+77
Step-by-step explanation:
Parallel lines do not share any points but have the same slope.
First, put the equation y-5=-13(x+2) into slope-intercept form.
y= -13x-21
Slope= -13x
Y-Intercept= (0,-21)
Now that we know the slope...
y-(-1)=-13(x-6)
becomes
y+1=-13x+78
y-1=-13x+78-1
y=-13x+77
Olivia has 4 2/3 yards of fabric to make scarves. She needs 3/4 yards for one scarf. How many
scarves can she make?
Answer:
6 scarves
Step-by-step explanation:
So we know that 3/4 yd. = 1 (scarf)
We have 4 2/3 material to make the scarves
=> convert to an improper fraction 4 2/3 = 14/3
=> Divide material by needed amt.
=> 14/3 / 3/4 = 14/3 x 4/3=> 14/3 x 4/3 = 56/9
56/9 = 6 2/9
But 6 2/9 is not our answer. Since we need a full amt. of scraves, we round down to our final answer of 6 scarves.
Hope this helps!
What are the lower quartile, upper quartile, and median for this box and
whisker plot?
A) LQ = 22 UQ = 10 Median = 18.5
B) LQ = 10 UQ = 22 Median = 18
C) LQ = 10 UQ = 22 Median = 18.5
D) LQ = 10 UQ = 22 Median = 19
Answer:
C
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
The lower quartile range is shown by the bottom of the box which is at 10.
The median is shown in the middle line, which is closer to 18 than 18.5.
The upper quartile range in the end of the box, which is at 22!
(You can also look at the picture attached if that helps.)
Please answer it now in two minutes
Answer:
x = 84
Step-by-step explanation:
∠ UWV is an angle in a semicircle and is right = 90°
VW = UW thus Δ UVW is right isosceles, thus
∠ UVW = ∠ WUV = 45° ( sum of angles in triangle ) , thus
x - 39 = 45 ( add 39 to both sides )
x = 84
Factor 6x2 + 12x - 9 completely.
A
3(2x² + (-3)
+ 4x –
B 6x(x – 7)
3(2x - 3)(x + 1)
D 3(2x + 1) (x – 3)
Answer:
work is pictured and shown
Can integers be written as fractions?
Answer:
Step-by-step explanation:
Yes you can just write them with denominator 1,
So 3 = 3/1 and -6 = -6/1.
Answer:
Yes.
Step-by-step explanation:
ALL real numbers can be written as fractions, and since integers fall under the category of real numbers, it is official that they can be written as fractions.
I am joyous to assist you at any time.
David is the caption of the school soccer team. Last year, the team won four more games than it lost. If the team won 46 games, how many games did it lose?
Answer:
C
Step-by-step explanation:
Games lost=Games won - 4
Games lost=46-4=42
An equilateral triangle has a perimeter of 15x3 + 33x5 feet. What is the length of each side?
x3 feet
5 + 11x2 feet
5x2 + 11 feet
5x3 + 11x5 feet
Answer:
the answer is 5×3+11×5 feet
Answer:
4th option
Step-by-step explanation:
An equilateral triangle has 3 congruent sides
Divide the perimeter by 3 for length of side
[tex]\frac{15x^3+33x^5}{3}[/tex]
= [tex]\frac{15x^3}{3}[/tex] + [tex]\frac{33x^5}{3}[/tex]
= 5x³ + 11[tex]x^{5}[/tex] ← length of 1 side
12. Write 0.8 as a fraction,
Pls explain in full detail.
Answer:
8/10
Step-by-step explanation:
10x10 is 100 8x10 would be 80 so 80/100=8/10
Answer:
8/10 = 4/5
Step-by-step explanation:
0.8 is 8-10th which means 8 divided by 10
reducing 8/10 to its lowest term since 8 and 10 has 2 as common factor, then
(8=2*4)/(10=2*5)
if 2 cancels out, then you are left with 4/5