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]
please help me with A, B, and C
Answer:
A. 120 ft
B. 119
C. 2100 ft
Step-by-step explanation:
A. (Slipt the shape into 2 parts so it will be simpler)
For the triangle : 1/2 (4x12)
And for the rectangle : 12x8
1/2 (4x12) = 24
12 x 8 = 96
24 + 96 = 120 ft
_________________________________
B. (this time we can split it into 3 parts)
Longer rectangle : 12x6
Short rectangle : 5x5
Triangle : 1/2 (4x11)
LR : 12x6 = 72
SR : 25
T : 1/2 44 = 22
72+25+22 = 119
______________________________________
C. (Like the first one, we can split it into 2 parts)
Rectangle : 50x30
Triangle : 1/2 40x30
R : 1500
T : 1/2 1200 = 600
1500 + 600 = 2100
Hope this helps :)
What is x. Please show *all* the steps.
The equation 5/2 - x + x - 5/x + 2 + 3x + 8/x^2 - 4 = 0 is a quadratic equation
The value of x is 8 or 1
How to determine the value of x?The equation is given as:
5/2 - x + x - 5/x + 2 + 3x + 8/x^2 - 4 = 0
Rewrite as:
-5/x - 2 + x - 5/x + 2 + 3x + 8/x^2 - 4 = 0
Take the LCM
[-5(x + 2) + (x -5)(x- 2)]\[x^2 - 4 + [3x + 8]/[x^2 - 4] = 0
Expand
[-5x - 10 + x^2 - 7x + 10]/[x^2 - 4] + [3x + 8]/[x^2 - 4] = 0
Evaluate the like terms
[x^2 - 12x]/[x^2 - 4] + [3x + 8]/[x^2 - 4 = 0
Multiply through by x^2 - 4
x^2 - 12x+ 3x + 8 = 0
Evaluate the like terms
x^2 -9x + 8 = 0
Expand
x^2 -x - 8x + 8 = 0
Factorize
x(x -1) - 8(x - 1) = 0
Factor out x - 1
(x -8)(x - 1) = 0
Solve for x
x = 8 or x = 1
Hence, the value of x is 8 or 1
Read more about equations at:
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A car with a mass of 1,500 kg broke down on the side of the road. How much force will be required
for a tow truck to accelerate the car at a rate of 3 m/sec^2
Answer:
the answer is 4,500kgm/s2
Step-by-step explanation:
force= mass × acceleration
[tex]f = 1500 \times 3 \\ = 4500kgm {s}^{ - 2} [/tex]
**PLS HELP BRAINLIEST**
Answer:
x < 10
Step-by-step explanation:
the dot isn't colored in, meaning that x could not equal 10, and the graph goes left, meaning that x is less than 10.
Answer:
x<10
Step-by-step explanation:
Since the inequality doesn't have the circle filled in it is not a less than or equal to and since this is on the 10 this would be x<10
The area of a circle is 9 ft. What is the circumference, in feet?
Answer:
Circumference: 10.63
Hope this helps.
A plane flies the 1580 km from Cairo to Khartoum.
It departs from Cairo at 1155 and arrives in Khartoum at 1403.
Calculate the average speed of the plane, in kilometres per hour.
speed= distance/ time
= 1580/32/15
=1580/32 ×15
=740.625 km/hrs
time taken by plane:11:55 - 12:00= 5mins
12:00 - 14:03= 2hrs 3mins
total time:
=5 mins + 2hrs 3 mins
= 2hrs 8 mins
= ( 2 + 8/60) hrs
= 2 + 2/15
= 32/15 hrs
help i need the awnser
Answer:
5 cm. Assuming the shape only has right angles.
Step-by-step explanation:
16-11=missing side
Aubrey was buying candy for goodie bags for her birthday party. She bought 6 pounds of jellybeans how much did she spend on jellybeans?
Answer:
How much jellybeans cost?????????
Step-by-step explanation:
Answer:
how much do the hello beans cost
Which unit of measure should be used to measure this length? Type the correct
answer.
Use:
yd = yards
mi = miles
the distance from one street corner to the next
Answer:
Miles or mi
Step-by-step explanation:
This is because measuring the distance from one street corner to the next requires miles. Yards would be too less and would be less convenient.
There is a possibility of converting miles to yards as well.
You just have to multiply the miles by 1760 to get the right units.
Please help me with this please and thank you
Answer:
L bozo
Step-by-step explanation:
bc ur an L. ur whole life is an L
of the ten menu items at deli, 7 are sandwiches With meat, 2 are sandwiches without meat, and 1 is a desert.Write the fraction of menu options that are sandwiches as a fraction with a denominator of 100. Then write the fraction as a decimal.
The fraction of menu options that are sandwiches is 70/100, or 0.7 in decimal form.
How to write the fraction?
Out of the 10 options on the menu, 7 are sandwiches.
Then the fraction of options in the menu that are sandwiches is:
7/10
But we want the denominator to be 100, so we multiply both numerator and denominator by 10 to get:
7*10/10*10 = 70/100
This is the fraction we wanted.
Now, we want it as a decimal, this will be:
70/100 = 0.7
If you want to learn more about fractions, you can read:
https://brainly.com/question/11562149
This box plot displays information about the number of text messages some students sent one day.
What is the median number of texts sent by the students?
What is the IQR ?
P.S Please don't troll I really need help
Answer:
Median is between 10 - 15 so you could estimate it to = 14. IQR = 10.
Step-by-step explanation:
Median is an estimate based on the box plot and IQR is the is the differene between Q3 and Q1,
Can y’all help with this? Thanks
Answers:
Exponential decay model is y = 500*0.88^x
There is roughly 0.0000000000237 mL of the original air left.
There are 10 zeros between the decimal point and the '2'
The number in scientific notation is [tex]0.0000000000237 = 2.37 \times 10^{-11}[/tex]
=============================================================
Further Explanation:
A general exponential equation is
y = a*b^x
We start with 500 mL of air which is the value of 'a'
If 12% of the air is replaced, then 88% of it remains because 12% + 88% = 100%
Convert 88% to the decimal form 0.88 and this represents the base of the exponent. This is the value of b.
-------------
Since a = 500 and b = 0.88, we have
y = a*b^x
y = 500*0.88^x
Now we plug in x = 240 to estimate how much of the original air is in the lungs after that many breaths.
y = 500*0.88^x
y = 500*0.88^240
y = 0.0000000000237
This number is very small and to be expected since quite a bit of breaths have occurred. Nearly all of the original air particles should be replaced by this point. A very small trace amount remains.
Notes:
There are 10 zeros between the decimal point and the '2' in the number 0.0000000000237The number 0.0000000000237 is so small that it probably makes sense to use scientific notation to write [tex]0.0000000000237 = 2.37 \times 10^{-11}[/tex] meaning we move the decimal point 11 spots to the left to go from 2.37 back to 0.0000000000237The number 0.0000000000237 is read out as "237 ten-trillionths". Imagine splitting an object into ten trillion tiny pieces, and then shading 237 of those pieces to represent this decimal number.i need to knoow the anser of 20000+2000
Answer:
22000 easy but this simple hope it helps
Step-by-step explanation:
How many whole groups of 63 go into 504?
I will mark brainliest answer!
solve general solutions
[tex] \sqrt{3tan \:} (2x - 10) + 1 = 0[/tex]
[tex]\\ \rm\Rrightarrow \sqrt{3tan(2x-10)}+1=0[/tex]
[tex]\\ \rm\Rrightarrow \sqrt{3tan(2x-10)}=-1[/tex]
[tex]\\ \rm\Rrightarrow 3tan(2x+10)=1[/tex]
[tex]\\ \rm\Rrightarrow tan(2x+10)=1/3[/tex]
1/3=0.33..tan^{-1}(0.33)≈18[tex]\\ \rm\Rrightarrow 2x+10=18[/tex]
[tex]\\ \rm\Rrightarrow 2x=8[/tex]
[tex]\\ \rm\Rrightarrow x=4[/tex]
In a right triangle, cosine a = 0.352 and sine a = 0.936. what is the approximate value of tangent a? 0.329 0.376 1.288 2.659
The value of tangent a in the right triangle in which , cosine a = 0.352 and sine a = 0.936 is 2.659.
What are the trigonometric ratios?Trigonometric ratios for a right angled triangle are from the perspective of a particular non-right angle. The value of tangent of angle is equal to the ratio of sine of that angle to the cosine of that angle.
[tex]\tan\theta=\dfrac{\sin\theta}{\cos\theta}[/tex]
Here, θ is the angle.
The value of angle given in the problem are,
Cosine a = 0.352 Sine a = 0.936.Put these values in the above fromula as,
[tex]\tan (a)=\dfrac{\sin(a)}{\cos(a)}\\\tan (a)=\dfrac{0.936}{0.352}\\\tan(a)=2.659[/tex]
Hence, the value of tangent a in the right triangle in which , cosine a = 0.352 and sine a = 0.936 is 2.659.
Learn more about the trigonometric ratios here;
https://brainly.com/question/24349828
Answer:
D(2.659)
Step-by-step explanation:
got it right on edg
Jenny packaged 108 eggs in 9 cartons. Write this statement as a rate
Answer:
12 eggs/carton
Step-by-step explanation:
The desired rate is (108 eggs) / (9 cartons) = 12 eggs/carton
What is the value of n when 2/3 of n equals 42? Enter the answer in the box.
The value of n will be 63, we converted the word to mathematical expression then found n
Word ProblemWhen we see the word "of" in a mathematic expression, it simply means multiplication
Hence we have the mathematical expression for the word in our example as
2/3*n = 42
re-write
2n/3 = 42
cross multiplying we have
2n = 42*3
2n = 126
divide both side by 2 we have
n = 126/2
n = 63
Learn more about word problem here:
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PLEASE HELP WILL GIVE BRAINLIEST 3-4 pls do both
Answer:
first question: 24/40
second question: 36/5
Answer:
3. 24/5
4. 36/5
Step-by-step explanation:
For number 3, we can find the answer by multiplying 3/5 by 8, because the rabbits ate 3/5 of the celery in each garden. That's 3/5 eight times.
3/5 · 8/1 = 24/5
For number 4, we apply the rules of multiplication and solve A whole number can turn into a fraction by adding one as the denominator. Next, simply multiply the numerators by the denominators.
12/1 · 3/5 = 36/5
hope this helps!
What is the volume of the prism?
N-
cm
1 cm
4 cm
o 1 cm3
O 2 cm3
o 4 cm3
o 8 cm
3
The volume of the prism is 2 cm³.
Option B is the correct answer.
What is a prism?A prism is a three-dimensional object.
There are triangular prism and rectangular prism.
We have,
The volume of the prism:
= Base area x height
Now,
Base area = 4 x 1 = 4 cm²
Height = 1/2 cm
Now,
The volume of the prism.
= 4 x 1/2
= 2 cm³
Thus,
The volume of the prism is 2 cm³.
Learn more about prism here:
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#SPJ7
i need help will give points no scam just please give me the answers and we will both be on our way please no scamming cause its annoying also this is eighth grade math work
Answer:
BAStep-by-step explanation:
help please??? and thank you! <33
Answer:
90.69 Rounded to the nearest tenth is 90.7
Step-by-step explanation:
✓ Rounded to the nearest 0.1 or
the Tenths Place.
✓ Hopefully this helps you! :)
wishing you a amazing day! ･ﾟ★,｡･
-Keira <33
Please Help Fast!!!
Solve the system of equations:
25−x=−4y
3x−2y=30
Answer:
{x,y} = {7,-9/2}
Step-by-step explanation:
System of Linear Equations entered :
[1] 25-x=-4y
[2] 3x-2y=30
Equations Simplified or Rearranged :
[1] -x + 4y = -25
[2] 3x - 2y = 30
Graphic Representation of the Equations :
4y - x = -25 -2y + 3x = 30
Solve by Substitution :
// Solve equation [1] for the variable x
[1] x = 4y + 25
// Plug this in for variable x in equation [2]
[2] 3•(4y+25) - 2y = 30
[2] 10y = -45
// Solve equation [2] for the variable y
[2] 10y = - 45
[2] y = - 9/2
// By now we know this much :
x = 4y+25
y = -9/2
// Use the y value to solve for x
x = 4(-9/2)+25 = 7
Solution :
{x,y} = {7,-9/2}
Answer:
x=7, y=-4.5 or (7, -4.5)
Step-by-step explanation:
Hi there!
We are given the following system of equations:
25-x=-4y
3x-2y=30
Before we do anything, let's move our x and y values to one side, while keeping the numbers on the other side
So for 25-x=-4y, start by adding 4y to both sides
25-x=-4y
+4y +4y
_____________
25 + 4y - x = 0
Now subtract 25 from both sides
4y - x = -25
Now the system is this:
4y-x=-25
3x-2y=30
We can solve this equation by substitution, where we solve one of the equations for one of the variables, and then use the expression that the variable is equal to, in order to find the value of the other variable. Then, once the value of that variable is found, use that value to find the value of the first variable.
Start with 4y-x=-25
Subtract 4y from both sides
-x=-4y-25
Now multiply both sides by -1
x=4y+25
Substitute 4y+25 as x in 3x-2y=30
3(4y+25)-2y=30
Multiply
12y+75-2y=30
Simplify
10y+75=30
Subtract 75 from both sides
10y=-45
Divide both sides by 10
y = -4.5
Now substitute -4.5 as y in x=4y+25
x=4(-4.5)+25
Subtract
x= -18 +25
x= 7
The answer is x=7, y=-4.5. As a point, it's (7, -4.5)
Hope this helps!
See more on solving systems of equation here: https://brainly.com/question/24420448
A coconut falls from the top of a tree and reaches a velocity of 19.6 m/s when it hits the ground. it takes two seconds to reach the ground. what is the coconuts acceleration?
Using the velocity formula, it is found that the acceleration is of a = 9.8 m/s².
What is the velocity formula?It is given by the initial velocity plus acceleration multiplied by time, that is:
v(t) = v0 + at.
In this problem, we have that v(0) = 0, t = 2, v(2) = 19.6, hence:
v(t) = v0 + at.
19.6 = 0 + 2a.
2a = 19.6.
a = 19.6/2.
a = 9.8 m/s².
The acceleration is of a = 9.8 m/s².
More can be learned about the velocity formula at https://brainly.com/question/26408808
A committee of four people needs to be chosen. There are three men and five women available to serve on the committee. If the committee members are randomly chosen, what is the probability that two of the four people chosen on the committee are women? a) 0.518 b) 0.429 c)0.215 d) 0.322
Answer:
D
Step-by-step explanation:
Can someone please help me on this
Answer:
1. Colored men
2. Not really sure, but maybe on a wall ??
3. To notify colored men what the president proclaimed
Step-by-step explanation:
FREE BRAINLIEST IF CORRECT - EZ QUESTION: Write the equation for the parabola that has x− intercepts (−2,0) and (−5,0) and y− intercept (0,−4).
Answer:
y = -2/5x^2 - 14/5x - 4
Step-by-step explanation:
y = a(x + 2)(x + 5)
At y intercept:
-4 = a(2)(5)
10a = -4
a = -2/5.
So the equation is
y = -2/5(x + 2)(x + 5)
y = -2/5(x^2 + 7x + 10)
y = -2/5x^2 - 14/5x - 4
What is special about the triangle that forms the yield sign ?
Answer:
Step-by-step explanation:
Just as the “stop sign” uses its 8 sides to communicate about “sharing the stop in all directions”, the yield sign’s 3 sides communicate as well. That triangle communicates that things’ll get tighter and tighter for you, as you move up. It’s sort of implicit - your space is going away. You need to stop and yield to others whose space hasn’t gone away.
-lukelaws
please brainiest in almost another level up!
Helppp plssssss!!!!!!
