Answer:
x = 2, x = - 2
Step-by-step explanation:
3x² - 12 = 0
3x² = 12
x²= 12/3
x²= 4
√x² = +/- √4
x = +/- 2
x = 2, x = -2
Please find the VOLUME of this figure... Write the formula and plug in the values... Write your answer with units and box your answer
ALSO
What is this shape called
Answer:
This shape is cylinderVolume = [tex]\pi r^2h[/tex]⠀⠀⠀⠀Volume = 22/7 × 6 × 6 × 6
⠀⠀⠀⠀Volume = 678.857 in³
Ariana is setting up a salt-water
aquarium. The aquarium holds
24 gallons of salt water. If each gallon
of salt water weighs 8.6 pounds, how
much will the salt water in Ariana's
aquarium weigh?
A 20.64 pounds
B 51.6 pounds
C 206.4 pounds
D 516 pounds
Answer:
206.4
Step-by-step explanation:
we multiply 8.6*24 and get 206.4
we know this because 1 gallon is equal to 8.6 so we multiply both quantities and get 206.4
A balloon rises vertically at the rate
of 10 ft. per second. If it encounters
a wind that gives a horizontal displace-
ment of 5 feet per second,
find (to the nearest whole degree)
the angle with the horizontal at
which the balloon rises.
a.
b.
find (to the nearest 10 feet) its
distance from the starting point
after one minute.
Answer:
a) 63°
b) 600ft
Step-by-step explanation:
To solve the above question, we would be using Trigonometric function
a) Find (to the nearest whole degree)
the angle with the horizontal at
which the balloon rises.
This above question a is a right angled triangle that is solved for using Trigonometric function of tan
From the question, we told that,
Vertical distance ( opposite side) = 10 feet
Horizontal distance ( adjacent side) = 5 feet.
Tan θ = opposite side/ adjacent side
Tan θ = 10/5
Tan θ = 2
θ = arc tan (2) or tan -¹(2)
θ = 63.434948823°
θ = 63°
The angle with the horizontal at
which the balloon rises to the nearest whole degree is 63°
b) find (to the nearest 10 feet) its
distance from the starting point
after one minute.
Distance = Speed × time
Time is given in the question as 1 minute
We would convert it to seconds = 60 seconds
We are told in the question that the balloon rises vertically at the speed of 10ft/s
Distance = 10ft/s × 60seconds
Distance from the starting point per minute = 600ft
Find the area of the trapezoid PART. Need this done by 6/6/20
Answer:
7.5 squared units
Step-by-step explanation:
[tex]b_1 = 4\: units, \:\: b_2 = 1 unit \:\: h = 3 \: units \\
Area\: of \:Trapezoid = \frac{1}{2} \times (b_1 + b_2) \times h \\ \\ = \frac{1}{2} \times (4 + 1) \times 3 \\ \\ = \frac{1}{2} \times 5 \times 3 \\ \\ = \frac{1}{2} \times \times 15 \\ \\ = 7.5 \: {units}^{2} [/tex]
Shivani runs a stable that boards 15 horses, and 5 of them are spotted. What is the experimental probability that the next horse that comes to board will be spotted?
Write your answer as a fraction or whole number.
Answer:
1/3Step-by-step explanation:
5 horses are spotted, out of 15 total.
5/15 = 1/3
I'm always happy to help :)
Which of the following discrete random variables could be represented by a
probability histogram whose bars are all the same height?
O A. The number of goals scored per game by a soccer team in one
season
B. The ages of students in a high school
O C. The outcomes of spinning a spinner with five equal sections
O D. The outcomes of rolling a weighted die
Answer: The outcome of spinning a spinner with five equal outcomes
Step-by-step explanation:
The discrete random variable that could be represented by a probability histogram whose bars are all the same height is;
Option C; The outcomes of spinning a spinner with five equal sections
The probability histogram is a type of histogram whereby the height of each bar shows the true probability of each outcome of a specific number of trials.
Now, let us look at the options;
Option A; This cannot be represented by a probability histogram because it doesn't show probability.
Option B; This cannot be represented by a probability histogram because it shows just ages and doesn't show probability.
Option C; This can be be represented by a probability histogram because it shows the probability of each outcome of spinning five equal sections.
Option D; This cannot be represented by a probability histogram because it should show the probability of each outcome and not just that of one weighted die.
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I need help on this.
Answer:
11042
Step-by-step explanation:
since it says "in all" that means u have to add them up
6,836 + 4,206 = 11,042
A new car is purchased for 15700 dollars. The value of the car depreciates at 7.5% per year. To the nearest year, how long will it be until the value of the car is 10100 dollars?
Answer:
10100=15700(1-0.075)^x
10100=15700(0.925)^x
divide both sides by 15700
0.925^x=101/157
convert decimal
(37/40)^x=101/157
take the log
x= log 37/40 (101/157)
x= 5.65824
It will take almost 6 years to depreciate the value of the car to 10100 dollars.
5. A silo was constructed at a farm in the shape of a right circular cylinder. It was built with an
approximate volume of 842,411 cubic meters and a height of 85 meters. What was the length of the diameter
of the base, to the nearest meter?
Answer: 112 meters
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula:
Volume of a cylinder (V) : π x radius ² x heightReplacing with the values given :
842,411 = π x r ² x 85
Solving for r:
842,411 / (π x 85) = r²
3,154.67 = r²
√3,154.67 = r
56.16 m = r
Finally, we have to multiply the radius by 2 to obtain the diameter:
56.16 x 2 = 112 meters
Feel free to ask for more if needed or if you did not understand something
How many factors does the number 25 have?
Answer:
3
Step-by-step explanation:
1, 5, 25
PLSSSS HELP NEED ASL
Answer:
27/36.
Step-by-step explanation:
By definition, the tangent function is defined as the ratio of the side opposite to the angle to the side adjacent to the angle (opp/adj).
From angle C, the opposite side is 27, and the adjacent side is 36. We can say that tan C = 27/36.
please help thank you
Answer:
See explanation
Step-by-step explanation:
[tex](x^2+9x+10)(x-2)= \\\\x^3-2x^2+9x^2-18x+10x-20= \\\\x^3+7x^2-8x-20[/tex]
Jimmy is incorrect.
Using long division, you can find that the real answer.
First, subtract [tex]x^2(x-2)[/tex] from the original expression, leaving you with [tex]9x^2+2x-40[/tex].
Next, subtract [tex]9x(x-2)[/tex] from the expression, leaving you with [tex]20x-40[/tex]. Finally, subtract [tex]20(x-2)[/tex] from the expression, leaving you with a remainder of 0. This means that the real quotient is [tex]x^2+9x+20[/tex]. Hope this helps!
When solving the equation 3x + 2 = 13 , Joseph used a property of algebra to transform the equation into 3x = 11 . Which property did he use ?
A) Multiplication |
B) Division
C) Addition
D) Subtraction
Answer:
D
Step-by-step explanation:
Subtraction
Find the measure of angle Angle AEB? A.90 Degrees b. 30 Degrees c. 60 Degrees d. 120 Degrees
Answer:
C. 60°
Step-by-step explanation:
Read the marking on the protractor.
Hope it helps
Good luck on your assignment
WHAT IS THE PYTHOGERON TRIPLETS IF ONE NUMBER IS 36
Answer:
Step-by-step
Let the given number be n>2.
For n even, n2+((n/2)2–1)2=((n/2)2+1)2.
For n odd, n2+((n2–1)/2)2=((n2+1)/2)2
use the forumla to find u r answer
standard form of a pythagorean triplet is 2m, m²+1, m²-1
let us take 2m as 36. so
2m=36, m=36/2
therefore m=18
m²+1 =18²+1 = 324+1 =325
m²-1 =18²-1 = 324-1 =323
therefore 36,325,323 form a pythagorean triplet.
For checking, 36²+323² should be equal to 325²
Tell me if this was helpful....
1. Solve the following equation for
x. (3 points)
-3x - 2 = -20
X=
Answer:
-3x - 2 = -20
Add 2 on both sides
-3x=-18
Divide by -3 on both sides
X=6
Answer:
Step-by-step explanation:
-3x - 2 = -20
Add 2 to both sides
-3x - 2 + 2 = - 20+ 2
-3x = -18
Divide both sides by (-3)
[tex]\frac{-3x}{-3}=\frac{-18}{-3}[/tex]
x = 6
You have saved $900 for a vacation to Aruba. The total cost of the trip is $2100. If you save $150 a week, how many weeks will it take before you have enough money for your trip?
Answer:
8 weeks
Step-by-step explanation:
$2100 - $900 = $1200
$1200/$150 = 8 weeks
Express in numbers six and three hundredths
Answer:
6.03
Step-by-step explanation:
'6' would be a whole number. When stating decimals, you would say the whole numbers before 'and'.
For example: 5.6 would be 'five and six tenths'. Note that five is before 'and'.
'Three hundredths' would be .03.
Therefore:
"Six and three hundredths" would be '6.03'.
Samantha and Luis are attempting to determine the average number of library books that seventh-grade students check out at one time. Samantha surveys every other seventh grade student leaving the library. She samples a total of 40 of the 200 seventh graders. Luis samples 30 of the 200 seventh grade students at random in the school cafeteria. Whose sample is the most random? Luis because his sample is taken from the population of all seventh graders Luis because he samples fewer students Samantha because she samples more students Samantha because her sample is taken from the population of students who use the library
Answer:
Luis, because his sample is taken from the population of all seventh graders. However, Samanthan has the advantage of having a bigger sample, and that makes it more representative.
Taking the sample of the library as Samantha did, is biased, because most of the students there is checking a book, and the aim of the study is not only the ones that use the library, but in general the seventh grade students.
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
What are the excluded values?
0 and 15
3 and -5
-3 and 5
Answer:
x=5 x = -3
Step-by-step explanation:
-7 / ( x^2 -2x -15)
Factor the denominator
-7
----
(x-5) ( x+3)
The excluded values are when the denominator is equal to zero
(x-5) (x+3) =0
x-5 =0 x+3=0
x=5 x = -3
Which has the greatest value?
A)
216
B)
125
C)
64
D)
49
Answer:
A) 216
Step-by-step explanation:
216 has the greatest value
6. A line passes through (1, -5) and (-3, 7).
a. Write an equation for the line in point-slope form.
b. Rewrite the equation in slope-intercept form.
Answer:
1.y−7=3(x+3)
2.y=3x+16
Step-by-step explanation:
use point-slope formula to find the slope and plug it into the equation
y-y₁=m(x-x₁)
slope= -[tex]\frac{y2-y1}{x2-x1}[/tex]
plug in the value of x and y from both of the coordinates into this equation and then use one set of points and slope to get your equation
A triangle has side lengths of 11 cm and 9 cm. Which could be the value of the third side, 20 cm or 15 cm?
There are several vendors at the carnival who sell products and also advertise their businesses.
Steve works for a recreational company that sells ATVs, dirt bikes, snowmobiles, and motorcycles.
His boss paid him $500 for working all of the days at the carnival plus 5% commission on all of the sales made at the carnival.
What was the minimum amount of sales Steve needed to sell if he earned more than $1,500?
Answer:
Step-by-step explanation:
third side is <11+9 or <20cm
or >11-9 or >2
so third side=15 cm
Let x be the sale.
Then 500+.05x>1500
.05x>1500-500
.05 x>1000
x>$2000
minimum sale=$2000
Answer:
Length of Third Side = 15 cm,
Steve Sold More than $ 20,000
Step-by-step explanation:
1 . Consider the Triangle Inequality Theorem, as to solve for the length of the third side;
[tex]Triangle Inequality Theorem -\\\\| a - b | < c < a + b,\\| c - a | < b < c + a,\\| c - b | < a < c + b,\\\\Say, a = 11 cm, b = 9 cm, c = 20 -\\\\11 - 9 < 20 < 11 + 9,\\20 - 11 < 9 < 20 + 11,\\20 - 9 < 11 < 20 + 9\\\\As 20 = 20, not 20 < 20 -\\Conclusion ; Length of Third Side = 15 cm[/tex]
2 . Consider c - commission $;
[tex]5percent - FractionForm, -\\5 / 100 - Simplified -\\1 / 20,\\[/tex]
[tex]Inequality - 500 + 1 / 20 * c > 1,500,\\500 + 1 / 20 * c > 1,500 =\\1 / 20c > 1,000,\\c > 20,000 -\\Conclusion ; Steve Sold More Than 20,000 Dollars[/tex]
WILL MARK THE BRAINLEIST ASAP The graph below shows the percentages of ingredients in a salad mix. A pie chart titled Percentages in salad mix. 40 percent is iceberg, 27 percent is romaine, 15 percent is spinach, 12 percent is arugula, 6 percent is carrots. Dominic buys a 64-ounce container of salad mix. About how many ounces of romaine lettuce does the container have? 6 ounces 12 ounces 18 ounces 27 ounces
Hi! here's your answer!ヾ(￣▽￣)
Step-by-step explanation:
Your answer is 18 ounces of romaine lettuce!
Have a nice day/night~ (｡･∀･)ﾉﾞ
The correct option is 18 ounces. The weight of romaine lettuce in salad mix container is 17.28 ounces.
Given to us:
iceberg = 40%
romaine = 27%
spinach = 15%
arugula = 12%
carrots = 6%
The total weight of salad mix container = 64 ounces
Romaine lettuce the container have is 27% of the total weight of salad mix container Dominic buys. Therefore,
weight of romaine lettuce in salad mix container,
= 27% of the total weight of salad mix container
= 27% of 64 ounces
= [tex]\dfrac{27\times 64}{100}[/tex]
=17.28 ounces
Hence, the weight of romaine lettuce in salad mix container is 17.28 ounces.
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Stuart is considering a 3/27 balloon mortgage with an interest rate of 4.4% to
purchase a house for $268,000. What will be his balloon payment at the end
of 3 years?
I am not sure, but I hink it is C!
Answer: It’s A. 254,196.86
Step-by-step explanation:
16. Simplify 4+ (-3) - 2x (-6)
O
Answer:
1+12x or
13
Step-by-step explanation:
If the x is an expression then
4+ (-3) - 2x (-6)
remove first parenthesis
4-3-2x(-6)
2 negatives = a postive
4-3+2x*6
multiply
4-3+12x
substract
1+12x
4+ (-3) - 2x (-6)
remove first parenthesis
4-3-2*(-6)
multiply
4-3+12
substract
1+12
add
13
Why does Percy decide he has no choice but to jump? What would you have done in his place?
Answer:
He had nowhere to go,and he had to prove his bloodline to Echidna,and she called him a coward. He wanted Poseidon to help him.
Step-by-step explanation:
Point D is an interior of ABC. what is m DBC can u help me pls
Answer:
36.5 degrees
Step-by-step explanation:
angle abc is a straight angle ( which is 180 degrees )therefore:
angle ABD + angle DBC = angle ABC
substituting the given measurements gives us=
3x + 22 + x - 4 = 180
4x = 162
x = 40.5
the question asks us to find measure of angle DBC so we substitute x which =
measure DBC = x - 4
measure DBC = 40.5 - 4
measure DBC = 36.5 degrees
hope this helps!! :)
Which of the following is not a valid conclusion given parallelogram ABCD with diagonals AB and BD?
a
AB=CD
b
AC=BD
c
d
m
Answer:
AC=BD
Step-by-step explanation:
4. An airplane traveling at 60 m/s comes to a stop in 10 seconds. Calculate the airplane’s acceleration
The airplane's acceleration is 6m/s^2
Please see the attached picture for full solution
Hope it helps
Good luck on your assignment
