[tex] \black{ \rule{1000pt}{5555555pt}}[tex] [/tex]
Solve the equation -4x^3=32
Answer:
-2
Step-by-step explanation:
-4x^3 = 32
x^3 = -8
take the cube root of both sides.
x = -2
[tex]-4x^3= 32\\\\\implies x^3 = -\dfrac{32}4\\\\\implies x^3 = -8\\\\\implies x^3 +8 = 0\\\\\implies x^3 +2^3 =0\\\\\implies (x+2)(x^2 -2x +2^2)=0\\\\\implies (x+2)(x^2 -2x +4) = 0\\\\\implies x +2 =0~~~\text{or} ~~~~x^2 -2x +4 = 0\\ \\\implies x = -2 ~~~~~~\text{or} ~~~~ x= \dfrac{2 \pm\sqrt{-12}}{2}=\dfrac{2 \pm i\sqrt{12}}2}=\dfrac{2\pm2i\sqrt3}{2}=1\pm i\sqrt 3\\\\\text{Hence,}~ x = -2,~~ x = 1+i\sqrt 3,~~~ x= 1-i\sqrt3[/tex]
What is the solution to the system of equations
y=3x+7
2x+3y=32
Answer:
x=1, y=10
Step-by-step explanation:
I'm gonna use the method of substitution.
2x+3(3x+7)=32
2x+9x+21=32
11x=11
x=1
y=10
What is the value of the expression
below?
8 - 3116
A. -40
-
B. -4
C.
2
D.
20
Answer:
i do not understand how you wrote this please explain better
Step-by-step explanation:
What is the distance between the points (-1, 8) and (4.8) in the coordinate plane?
To find the distance between any points:
⇒ we must know the distance formula
⇒ Distance Formula: [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 } }[/tex]
[tex](x_{1} ,y_{1} )[/tex] --> (-1,8)[tex](x_{2} ,y_{2} )[/tex] --> (4,8)Let's Solve:
Distance Formula = [tex]\sqrt{(4--1)^2+(8-8)^2} =\sqrt{5^2} =\sqrt{25}[/tex] = 5
Thus the distance between the points is 5
Hope that helps!
A right circular cylinder has a height of 1934 ft and a diameter 125 times its height.
What is the volume of the cylinder?
Enter your answer as a decimal in the box. Use 3.14 for pi and round only your final answer to the nearest hundredth.
Answer:
88772677020890.30
Step-by-step explanation:
To calculate its volume, we need to know two parameters - the radius (or diameter) and height:
cylinder_volume = π * cylinder_radius² * cylinder_height
Answer:
11852.97
Step-by-step explanation:
is the correct answer took the test on k12
Which quadratic equation is equivalent to (x + 2)^2 + 5(x + 2) - 6 = 0?
Answer:
[tex]x^2[/tex] + 9x + 8 = 0
Step-by-step explanation:
First, we have to simplify this quadratic equation:
(x+2)^2 + 5(x+2) - 6 = 0
x^2 + 4x + 4 + 5x + 10 - 6 = 0
x^2 + 9x + 8 = 0
A designer is adding a pendant to a jewelry collection. the shape of the pendent can be defined by the equation y = startfraction 1 over 20 endfraction x squared endfraction. if the largest dimension of the pendant is 10 cm wide, what is the greatest length? 1.25 cm 2.50 cm 5 cm 10 cm
If the largest dimension of the pendant is 10 cm wide then the greatest length will be 5 cm. Then the correct option is C.
What is a function?The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.
A designer is adding a pendant to a jewelry collection.
The shape of the pendant can be defined by the equation
[tex]\rm y = \dfrac{1}{20}\ x^2[/tex]
If the largest dimension of the pendant is 10 cm wide then the greatest length will be
[tex]\rm y = \dfrac{1}{20}\ (10)^2\\\\\\\rm y = \dfrac{1}{20}\ 100\\\\\\\rm y = 5[/tex]
More about the function link is given below.
https://brainly.com/question/5245372
Answer:
1.25 cm
Step-by-step explanation:
HELPPPPPPPPPPPPPPPPPPPPPP
Answer:
The answer would be team D as their range is 24.
Step-by-step explanation:
Team A: range of 27
Team B: Range of 32
Team C: Range of 27
Team D: Range of 24
Team D has the lowest range found by subtracting the larger number 46 by the smaller number 22.
What is the value of x in the figure?
Enter your answer in the box.
x =
Answer: x = 29
Step-by-step explanation:
Complementary angle. 90-61=29. Basically finding what the number is shown from minus 90 since its complementary. :)
Mr. Beasley's science class wants to decorate one wall in the classroom like an underwater scene. They use sheets of blue poster board that are 2 feet long and 2 feet wide. How many sheets of blue poster board are used to cover the entire area of the wall? use math words and symbols to explain how you solve
Answer:
however big her wall is. if you give me how big her wall is i can help u more on this
Step-by-step explanation:
the other two questions are asking what is the actual length and what is the actual witdh.so yea...
Answer:
the answer could be 60
Step-by-step explanation:
I could be wrong sorry if I am
Nadya bakes 20 cookies every half hour. Vasil sells 38 cookies per hour. How many cookies are left unsold if they work from 6:00 am till noon.
Answer:
12
Step-by-step explanation:
20*2= 40 cookies per hour,
she is working 6 hours so she sells 240 cookies total
240-(38*6) = 12
Nadya bakes 20 cookies every half hour. Vasil sells 38 cookies per hour. 12 cookies that are left unsold and if they work from 6:00 am till noon.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Nadya bakes 20 cookies every half hour. Vasil sells 38 cookies per hour.
We need to find many cookies that are left unsold and if they work from 6:00 am till noon.
20 x 2= 40 cookies per hour,
she is working 6 hours so she sells 240 cookies
The total
= 240 - (38 x 6)
= 12
Learn more about the unitary method;
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A synthetic diamond has a density of 3.5 grams per cubic centimeter and a mass of 6.3 grams. What is it's volume?
Answer: 1.8 cubic cm
Step-by-step explanation:
Describe how to compare the two ratios 5:8 to 7:9. Tell each step to set up the ratios, then explain what to do to be able to compare the ratios. Finally make sure to answer how the ratios compare. ~ 100 POINTS AND ILL GIVE YOU BRAINLIEST IF YOU ANSWER CORRECTLY AND 5 SENTENCES NEEDED
Step-by-step explanation:
The ratio's can be expressed as fractions and you may compare those.
5 : 8 = 5/87 : 9 = 7/9In order to compare fractions you need to bring them into equal denominator.
8 and 9 have LCM of 8*9 = 72 since they have no common factors.
The equivalent fractions with common denominator are:
5/8 = 9*5/(9*8) = 45/727/9 = 8*7/(8*9) = 56/72Now we can compare the fractions:
45/72 < 56/72, since 45 < 56what is the volume of this shape?
Answer:
480 [tex]cm^2[/tex]
Step-by-step explanation:
8 x 6 x 10
Length x Width x Height.
Evaluate the formula for the perimeter of a rectangle to solve the problem. Then check all that apply.
ANSWERS:
First, write the formula for the perimeter of a rectangle: P = 2l + 2w.
Next, use parentheses when you substitute 50 for l and 25 for w.
After multiplying, add 100 and 50.
The school needs 5,000 meters of fencing.
The school needs 150 meters of fencing.
1. 2(8x – 1) + 2(2x + 4)
2. 16x – 2 + 4x + 8
3. (20x + 6)
Step-by-step explanation:
The perimeter of the rectangle with length 8x - 1 and width 10x + 3 is 20x + 6
The formula for calculating the perimeter of a rectangle is expressed as:
P = 2( l + w)
Given the following parameters
length l = 8x - 1
width w = 2x + 4
Substitute the expressions for the length and width into the formula;
P = 2(8x - 1 + 2x + 4)
P = 2(10x + 3)
Distribute 2 over each term in the parenthesis
P = 2(10x) + 2(3)
P = 20x + 6
Hence the perimeter of the rectangle with length 8x - 1 and width 10x + 3 is 20x + 6
if i help please give brainly
Answer:
below
Step-by-step explanation:
A B C E
all of them but D
Find the exact circumference of a circle with a diameter of 5 inches.
The circumference is
inches.
Answer:
15.7 in
Step-by-step explanation:
You can use the below formula to find the circumference of the circle.
C = π × d
Here,
d ⇒ diameter ⇒ 5 in
Let us find it now.
C = π d
C = 3.14 × 5
C = 15.7 in
Answer:
The exact diameter is 15.707963267948966192313216916398 inches multiplied by full form of pi.
________________________________________________________
SolveSet C as your substitute for circumference.
[tex]C =[/tex]
Now that we have this, we need to assign a value of pi long form followed by the diameter, which is 5 inches².
[tex]C = \pi d[/tex]
[tex]d = 5[/tex]
Lastly, ignore C, and multiply pi by the diameter, d.
[tex]\pi * d = 15.707963267948966192313216916398[/tex] without rounding
________________________________________________________
Questions?Ask in the comments box.
can somebody help me
Answer:
Area = 202 in^2
Step-by-step explanation:
Divide those into pieces to solve for each area and then add the area together.
Left Rectangle:
13 in * 4 in = 52 in^2
Right Rectangle:
15 in * 10 in = 150 in^2
Total Area = 117 in^2 + 150 in^2 = 202 in^2
Use the Distributive Property to expand 4(x+3)
Answer:
4x+12
Step-by-step explanation:
4(x+3)=4x+12.
You use the distributive property by multiplying both numbers in the parentheses by 4
Answer:
4x +12
Step-by-step explanation:
Distributive property: a*(b + c) = (a *b)+(a *c)
Here, a = 4 ; b = x and c = 3
4*(x + 3) = 4*x + 4*3
= 4x + 12
5/8 + 7/4 add these two together
Answer:
19/8
Step-by-step explanation:
[tex]\frac{5}{8} + \frac{7}{4} = \frac{5}{8} + \frac{14}{8} = \frac{19}{8} = 2\frac{3}{8}[/tex]
Calculate the sum of the interior angles of the following hint.
Answer:
A- 900 degrees
B- 1800 degrees
C- 540 degrees
The sum of the interior angles of a heptagon is 900 degrees. The interior angles of a dodecagon add up to 1800. The interior angles of a pentagon add up to 540.
What is the recursive rule?
Question 4 options:
an = 2an−1; a1 = 30,000
an = 2an+1; a1 = 30,000
an = 2n; a1 = 30,000
an = 2an; a1 = 29,500
The recursive rule for the sequence in simplified form is an = 2n; a1 = 30,000
How to write the recursive functionGiven the following parameters
a is the initial values = 30,000
If the amount doubles each year then b = 2
Let n be the number of years such that if the numbe r keeps doubling then:
an = 2n
First term a = 30000 (iniital value)
Hence the recursive rule for the sequence in simplified form is an = 2n; a1 = 30,000
Learn more on recursive rule here: https://brainly.com/question/2059043
Demarcus has to wrap a gift for his friend's birthday party. the gift is in a rectangular box with the dimensions shown below. he's trying to figure out how much gift wrap he needs to cover the entire box. should he calculate the total surface area or the lateral surface area? pick the right measurement and then calculate it for him.
Amount of gift wrap to cover the entire box = total surface area of rectangular box = 1,048 in.².
What is the Total Surface Area of a Rectangular Box?The total surface area of a rectangular box is the area of all the faces of the box = 2(wl + hl + hw).
Therefore, to find the material that will cover the whole rectangular box, Demarcus should find its total surface area, given the following dimensions:
l = 20 in.w = 8 in.h = 13 in.Plug in the values into TSA = 2(wl + hl + hw):
Total surface area of rectangular box = 2(8×20 + 13×20 + 13×8) = 1,048 in.²
Learn more about total surface area of rectangular box on:
https://brainly.com/question/24448247
A road is 4350m long, correct to the nearest 10 metres. Kirsty drove along the road in 205 seconds, correct to the nearest 5 seconds.
The average speed limit for the road is 80km/h
Could kirsty’s average speed have been greater than 80km/h?
Kirsty's Average speed is not greater than 80km/h
What is speed?Speed is the rate of change of distance.
Analysis:
length of road = 4350m = 4350/1000km = 435/100km
time taken = 205 seconds = 205/3600 hour
Her Speed = 435/100 ÷ 205/3600 = 435/100 x 3600/205 = 76.4km/h
In conclusion, Kirsty's average speed is not greater than 80km/h.
Learn more about speed: brainly.com/question/4931057
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1. If PQ || SR and PQRS is an isosceles trapezoid,
find m<1.
A. 30°
B. 32°
C. 34°
D. 36°
Answer:
B. 32°
Step-by-step explanation:
Finding ∠S and ∠R
∠S = 58°∠S = ∠R (Isoceles trapezoid)⇒ ∠R = 58°Similarly, ∠P = ∠Q (same reason as above)
Applying the Angle Sum Property of Quadrilaterals,
∠P + ∠Q + ∠R + ∠S = 360°2∠P + 2∠S = 360°∠P + ∠S = 180°∠P = 180° - 58°∠P = 122° = ∠QFinding the missing angles of the triangle
Left angle : ∠x + 96° = 122°∠x = 26°Applying the Angle Sum Property of Triangles,
∠x + ∠Q + ∠1 = 180°26° + 122° + ∠1 = 180°∠1 = 180° - 148°∠1 = 32°Stacey bookshelf measures 48 inches high 36 inches long and 24 in wide
Answer:
5,184 cubic inches
Step-by-step explanation:
Of the 30 students in the sixth period math class, 8 are also in the same fourth period science class. Which can be
used to determine the probability that if three students are chosen at random from the math class to do a group
project, the first student chosen to be in the group is in the fourth period science class but the other two are not?
a [8/30][22/29][21/28
b [8/30][8/30][8/30]
c [8/30][7/29][6/28]
d [8/30][22/30][21/30]
Answer:
I think the answer is b sorry if the answer is wrong
what are the exact volumes of x and y? (attached image)
Answer:
X is the value of y so work it out mothe
Answer:
Since already answered i need points so yea
pleas help in math!! i need an explanation on how you got he answer too please!!
(no links please!)
Answer:
a = 70 degrees.
Step-by-step explanation:
Use this circle angle theorem:
The angle subtended by an arc at the center of a circle = 2 times the angle subtended by the arc on the circumference.
So m < a = 1/2 * 140 = 70 degrees.
What is the value of x?
