Answer:
C, Plus or minus 3
Step-by-step explanation:
to solve 3x² - 27 = 0, we want to get the x by itself, so lets add 27 to both sides.
3x² = 27 < divide both sides by 3 to get x alone
3x²/2 =x²
27/3 = 9
x² = 9 < we can use the square-root property and square both sides of the equation to get x alone. we use the ± because there are 2 possible solutions to a square rooted number
√x² = x
√9 = 3
x = ±3
looking at our answer choices, the correct answer is C
Answer:
C. Plus or minus 3
Step-by-step explanation:
Take a GCF of 3 out of both terms in the binomial. You'll get 3*(x^2-9)=0. Then use FOIL to get the binomials (x+3) and (x-3). You're answers will be -3 and 3
A spinner is divided into 5 sections.You spin the spinner once. there are 2 parts in the white section and 3 parts in the dark.
* Find the probability that the spinner lands on a white section.
*Find the probability that the spinner lands on a dark section
Answer:
White: 2/5
Dark: 3/5
Step-by-step explanation:
There are 5 sections and there are 2 white spots and 3 dark spots.
So, 2 out of the 5 sections are white which is 2/5 and 3 out of the 5 sections is dark which is 3/5.
Answer:
The probability that the spinner lands on a white section is [tex]\frac{2}{5}[/tex] .The probability that the spinner lands on a dark section is [tex]\frac{3}{5}[/tex] .Step-by-step explanation:
Given : The total number of sections = 5
The number of white sections = 2
The number of dark sections =3
Now, the probability that the spinner lands on a white section is given by :-
[tex]\text{P(white)}=\dfrac{\text{Number of white sections}}{\text{total sections}}\\\\=\dfrac{2}{5}[/tex]
Now, the probability that the spinner lands on a dark section is given by :-
[tex]\text{P(dark)}=\dfrac{\text{Number of dark sections}}{\text{total sections}}\\\\=\dfrac{3}{5}[/tex]
Carter wants to know if warming up will help runners sprint faster. Thirty track and field athletes volunteered to participate in his study. He randomly assigns 15 athletes to warm-up for 10 minutes. All 30 participants sprint the same distance. He calculates the mean for each group and determines that the mean for the warm-up group was 10.7 seconds, and the mean for the other group was 13.2 seconds. To test the difference of means he re-randomized the data 54 times, and the differences are plotted in the dot plot below. What can Carter conclude from his study?
The graph shows: (3) -2.5, (6) -2.0, (9) -1.5, (12) -1.0, (6) -0.5, (4) 0.0, (3) 0.5, (7) 1.0, (3) 1.5, and (1) 2.0. The parenthesis is how many dots there is at each point.
The difference in the means is significant because a difference of 2.5 is very likely.
The difference in the means is not significant because a difference of 2.5 is very likely.
The difference in the means is significant because a difference of 2.5 is not very likely.
The difference in the means is not significant because a difference of 2.5 is not very likely.
Answer:
The answer is actually C. here's proof:
It also makes sense since 2.5 is very unlikely, so the change is significant.
There 1,195 souvenir paperweights that need to be packed in boxes. Each box will hold 13 paperweights. How many boxes will be needed
Answer:
92
Step-by-step explanation:
You need to divide the total number of souvenir paperweights divded by how much the box holds.
You will get 91.923 however you cant have only part of a box so you have to round up to 92.
a bottle holds z ounces of water. a second bottle holds 16 ounces, which is 8/5 times as much water. how much does the first bottle hold?
Answer:
10 ounces of water
Step-by-step explanation:
16=8/5
z=1
16*1=16
8/5*z=8/5z
16=8/5z
16/1.6z=10
z = 10
Answer:
10 ounces of water
Step-by-step explanation:
simplify the expression below using the order of operations 12 + 9 x 4/2 ÷ (2 + 1)
Answer: the answer is 18
Step-by-step explanation:
[tex]\bf 12+9\times \cfrac{4}{2}\div (2+1)\implies \stackrel{\mathbb{P~E~M~D~A~S}}{12+9\times \cfrac{4}{2}\div (\stackrel{\downarrow }{3})}\implies 12+9\times \stackrel{\downarrow }{2}\div(3) \\\\\\ 12+\stackrel{\downarrow }{18}\div (3)\implies 12+\stackrel{\downarrow }{6}\implies 18[/tex]
Help only 4 minutes left
Answer:
C
Step-by-step explanation:
Glowmart marked down it's stock 32%. What will be the sale price of a $60 jacket
Answer: $40.80
Explanation: 60*.68=40.8
Answer:
Sale price = $40.80
Step-by-step explanation:
The original price = $60
After mark down of 32% is applied,
The selling price becomes 100% - 32% = 68%
The selling price = 68% of $60 = [tex]\frac{68}{100}[/tex] × $60 = $40.80
Kamal solved an equation as shown below. 3(x-8)=x+2x+7 3x-24=3x+7 -24=7 What is the solution to Kamal’s equation?
There is no solution to Kamal's equation because -24 ≠ 7
How to solve the problem
The equations are given as
i. 3(x-8)=x+2x+7
ii. 3x-24=3x+7
iii. -24=7
We have to expand the first equation
3(x-8)=x+2x+7
this would produce the second equation
3 * x - 3 * 8 = 3x + 7
we have
ii. 3x-24=3x+7
from here we have to take like terms on put them on same side
3x - 3x = 7 + 24
0 = 31
or from 3x-24=3x+7
the 3x is eliminated
-24 = 7
But we know that -24 ≠ 7. Hence no solution.
Please help...
Determine whether each set of side lengths could be the sides of a right triangle.
10.5 cm, 20.8 cm, 23.3 cm
6 cm, 22.9 cm, 20.1 cm
The side lengths 10.5 cm, 20.8 cm, and 23.3 cm create a right scalene triangle.
Maria want to make a footstool in the shape of a cylinder, as show below. She wants to fill the footstool with foam and cover it with fabric. r=12in by h=18in
Answer:
She'll need 8143 cubic inches of foam and 1,809.6 square inches of fabric.
Step-by-step explanation:
Assuming you want to know how much foam and fabric she will need...
First the foam... so we need to determine the volume of that footstool. The Volume of a cylinder is given by:
V = π * r² * h
So, we plug in the numbers:
V = π * 12² * 18 = π * 144 * 18
V = 2,592 π = 8143 cubic inches.
Now for the fabric... we'll assume Maria wants to cover the side of the stool and the top, but not the bottom.
The side of the stool is basically a rectangle of width of 18 inches and a length of the circumference of the base of the stool. The circumference is given by: C = 2 π * r of course, so C = 24π = 75.14 inches.
So the lateral surface of the cylinder is:
LS = 18 * 75.14 = 1,357.2 sq inches.
Then we need to calculate the area of the top... which is easy:
A = π * r² = π * 12² = 144 π = 452.4 sq inches
So, to cover the lateral side of the footstool and its top, she needs to use:
TA = 1,357.2 + 452.4 = 1,809.6 sq inches of fabric.
Answer:
The fabric needed = 2260.8 square inches
Step-by-step explanation:
Points to remember
Surface area of cylinder = 2πr(r + h)
It is given that,
Maria want to make a footstool in the shape of a cylinder.
radius of cylinder = 12 in and height = 18 in
To find the surface area
Here r = 12 in and h = 18 in
Surface area = 2πr( r + h)
= 2 * 3.14 * 12 (12 + 18)
= 2260.8 square inches
Problem Page A manufacturer makes decorative globes out of silver in the shape of a solid sphere. Suppose each sphere has a radius of 1.5 cm. If silver is priced at $6.00 per cm3 , how much will the silver cost to make one solid sphere? Use 3.14 for pi, and do not round your answer.
Answer:
84.78
Step-by-step explanation:
Final answer:
To determine the cost of silver needed for a solid sphere with a radius of 1.5 cm, the volume is calculated first, and then multiplied by the cost per cubic centimeter of silver, resulting in a total cost of $84.78.
Explanation:
The problem requires calculating the cost of the silver needed to manufacture a solid sphere. To find the cost, we first need to calculate the volume of the sphere using the formula V = (4/3)πr³, where V is the volume and r is the radius. Then, we multiply the volume by the cost per cubic centimeter of silver to get the total cost.
Given the radius r = 1.5 cm and the cost of silver = $6.00/cm³, we can plug these values into the formula:
Calculate the volume of the sphere: V = (4/3)π(1.5 cm)³Compute the volume: V = (4/3)π(3.375 cm³) = (4/3)π×3.375 cm³ = 4π×1.125 cm³ = 14.13 cm³ (using 3.14 for π)Calculate the cost: Cost = 14.13 cm³ × $6.00/cm³ = $84.78Therefore, the silver required to make one solid sphere would cost $84.78.
Please help me it’s urgent
Answer:
the answer would be y=2x+4
Step-by-step explanation:
Mese questions are based on a 52
a ck without Jokers.
1) Find the probability of drawing cards 2 through
2) Find the probability of drawing a face card that is a Diamond.
3) Find the probability of drawing a 7 of Clubs.
4) Find the probability of drawing a face card.
5) Find the probability of drawing a face card that is red.
6) Find the probability of drawing a red card.
7) Find the probability of drawing a 5.
8) Find the probability of drawing a Diamond 6 through 9.
9) Find the probability of drawing a Diamond.
10 ) Find the probability of drawing black cards 2 through 8.
someone tell me the answers asap.it will help me hell.
Answer:1.) 6/52
Step-by-step explanation:
The answer provides step-by-step solutions to a set of 10 different probability questions based on a standard deck of 52 playing cards. Each solution follows the same basic principle of dividing the number of ways the desired outcome can occur by the number of total possible outcomes.
Explanation:The probability calculations, based on a 52-card deck, are as follows:
The probability of drawing cards 2 through 10 is 9 cards/suit * 4 suits/52 cards = 36/52 or 9/13.The probability of drawing a face card that is a Diamond is 3 face cards in the Diamond suit/52 cards = 3/52 or 1/17.The probability of drawing a 7 of Clubs is 1 card/52 cards = 1/52.The probability of drawing a face card (Jack, Queen, or King) is 3 face cards/suit * 4 suits/52 cards = 12/52 or 3/13.The probability of drawing a red face card is 6 red face cards/52 cards = 6/52 or 3/26.The probability of drawing a red card is 26 red cards/52 cards = 26/52 or 1/2.The probability of drawing a 5 is 4 cards (one from each suit) /52 cards = 4/52 or 1/13.The probability of drawing a Diamond 6 through 9 is 4 cards in the Diamond suit/52 cards = 4/52 or 1/13.The probability of drawing a Diamond is 13 cards in Diamond suit/52 cards = 13/52 or 1/4.The probability of drawing black cards 2 through 8 is 14 black cards (7 in each black suit)/52 cards = 14/52 or 7/26.Remember that probabilities are calculated as the desired outcome divided by the total possible outcomes.
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A cylindrical aquarium in Boston is 24 feet deep and has a radius of 18.8 feet. To the nearest whole number what is the volume of the aquarium use pie = 3.14
The volume of the cylindrical aquarium to the nearest whole number is [tex]\(\boxed{26694}\)[/tex] cubic feet.
The volume [tex]V[/tex] of a cylinder can be calculated using the formula:
[tex]\[ V = \pi r^2 h \][/tex]
where [tex]r[/tex] is the radius of the cylinder's base and [tex]h[/tex] is the height of the cylinder.
Given:
- Radius [tex]\( r = 18.8 \)[/tex] feet
- Height [tex]\( h = 24 \)[/tex] feet
- [tex]\( \pi \approx 3.14[/tex]
Now, let's calculate the volume:
[tex]\[ V = 3.14 \times (18.8 \text{ feet})^2 \times 24 \text{ feet} \][/tex]
[tex]\[ V = 3.14 \times 18.8^2 \times 24 \][/tex]
[tex]\[ V = 3.14 \times 353.44 \times 24 \][/tex]
[tex]\[ V = 3.14 \times 8482.56 \][/tex]
[tex]\[ V \approx 26694.1216[/tex]
To the nearest whole number, the volume of the aquarium is approximately:
[tex]\[ V \approx 26694 \] cubic feet.[/tex]
Therefore, the volume of the cylindrical aquarium to the nearest whole number is [tex]\(\boxed{26694}\)[/tex] cubic feet.
In right triangle ABC, A=76º, a=13, and ∠C is the right angle. Solve the triangle.
Angles:
A=76 degrees
C=90 degrees
B=180-(90+76)=180-166
=14 degrees
Answer:
It’s c (B=14,b=3.2,c=13.4)
Step-by-step explanation:
edge
I don't know how to graph y=6/5x+1
can someone help me?
So this equation is in slope intercept form:
y = mx + b
m is slope
b is y-intercept
This means that for this equation the slope is 6/5 and the y-intercept is (0 , 1)
Look at image below for the graph
Hope this helped!
~Just a girl in love with Shawn Mendes
Find the value of x. Please help
18/25= 21/x
18x=525
525/18 = 29.16
29.4
A square on a coordinate plane is translated 9 units down and 1 unit to the right. Which function rule describes the translation?
Answer:
x+1, y-9
Step-by-step explanation:
Answer:
(x, y) ----> (x +1, y - 9)
Step-by-step explanation:
A square on a coordinate plane is translated 9 units down and 1 unit to the right.
Let's (x, y) is coordinate plane.
Here x represents the horizontal move and y represents the vertical move.
It is translated 9 units down and 1 unit right.
(x, y) ----> (x +1, y - 9)
Translation (x, y )---> (x+1, y-9)
20 points!! help needed
ANSWER
1 bell shape
2 to find probability when sampling
EXPLANATION
1 In a normal distribution, the mode,mean and median are equal.
As a result, the distribution is neither skewed to the right or left.
The shape of the normal distribution looks like a bell.
That is why it is also called the bell curve.
2. The area under the normal curve is 1.
The line of symmetry of the bell shaped distribution divides it into two halves with area 0.5 each.
The normal curve is therefore used to find the probabilities of a sample distributions.
I will mark brainliest and 20 pts
I believe the Surface Area is 37 inches^2 and the Volume is 15 inches^2
Round 96 cent. Amount. To the nearest dollar
Answer:
About 1 dollar.
Step-by-step explanation:
First we must establish the possible values that 96 cents can be rounded to.
We know that 96 cents is more than nothing, or 0. We also know that a dollar is 100 cents. This means 96 cents is in between 0 and 1 dollar. We just have to determine whether 96 is closer to 100 cents or 0 cents.
To do this find the difference between 96 and each value.
100-96 = 4
96-0 =96
The difference between 96 and 100 is smaller, so the values are closer and 96 should be rounded to a dollar.
The two parallelograms in the figure are similar. What is the value of x?
A. 26
B. 24
C. 28
D. 30.4
Answer:
The answer is D, 30.4
Step-by-step explanation:
Because the two parallelograms are similar, the relationship between the sides of them are directly proportional.
So:
[tex]\frac{9}{8} =\frac{x}{27}[/tex]
Cross multiply
8x = 243
÷8 both sides
x = 30.375 ≈ 30.4
The answer is D, 30.4
ANSWER
D. 30.4
EXPLANATION
The two parallelograms are similar, therefore the corresponding sides must be in the same proportion:
[tex] \frac{x}{9} = \frac{27}{8} [/tex]
Multiply both sides of the equation by 8. This implies that,
[tex]x = \frac{27}{8} \times 9[/tex]
[tex]x = 30.375[/tex]
Rounding to the nearest tenth gives us:
[tex]x = 30.4 \: units[/tex]
What is the value of 8P4? A. 32 B. 70 C. 1680 D. 4096
P means permutation, so using the permutation formula:
8P4 = 8! / (8-4)!
= (8 x 7 x 6 x 5 x 4 x 3 x 2 x 1) / (4 x 3 x 2 x 1)
= 8 x 7 x 6 x 5
= 1680
The answer is C.
Answer:
C
Step-by-step explanation:
Its C
Two stores have movies to rent
The first store charges a $12.50-per-month membership fee plus
$1.50 per movie rented
The second store has no membership fee but charges $3.50 per movie
rented.
What is the minimum number of movies a person would need to rent in a month
for the first store to be a better deal?
Answer:7
Step-by-step explanation:
In the first store, you pay 12.5+1.5x per x movies
In the second store, you pay 3.5x per x movies
The first store offers a better deal when:
12.5 + 1.5x > 3.5x
12.5 > 2x
6.25 > x
Which means if you rent minimum 7 movies in month, you should go to the first store
Answer:
7Step-by-step explanation:
We know that the first store charges $12.50 per month, which is a initial condition, and charges additionally $1.50 per movie, which is variable, this represents the ratio of change, so this can be expressed as
[tex]\$12.50 + \$1.50x[/tex]
Where [tex]x[/tex] represents movies.
Now, the second store doesn't charge and membership fee, just it charges a cost per movie which is $3.50.
Then, to solve the minimum number of movies needed to Plan A be the best choice, we just have to solve the following inequality
[tex]\$12.50 + \$1.50x> \$3.50[/tex]
Which expresses the case where Plan A is a better choice, solving for [tex]x[/tex], we have
[tex]\$12.50 + \$1.50x> \$3.50x\\\$1.50x - \$3.50x >-\$12.50\\(-1)(-2x)>(-12.50)(-1)\\2x<12.50\\x<\frac{12.50}{2}\\ x<6.25[/tex]
Which means that the minimum number of movies is 7, which is the next whole number after 6.
Which system of equations has the same solution as the system below??! PLEASE HELP
Answer:
System #2:
3x - y = 4---->6x - 2y = 8
Find the area of the shaded figure.
A= _ mm2
Find the area of the shaded figure.
Answer :40192 mm²
Explanation :the area of the circle inside
= phi × r × r
= 3,14 × 40 mm × 40 mm
= 314/100 × 40 mm × 40 mm
= 5024 mm²
large circle area
= phi × r × r
= 3,14 × 120 mm × 120 mm
= 314/100 × 120 mm × 120 mm
= 45216 mm²
broad shaded
= 45216 mm² - 5024 mm²
= 40192 mm²
The area of the shaded figure is 10053.08 [tex]mm^2[/tex].
To find the area of the shaded region, we can use the following steps:
Calculate the area of the larger circle.
Calculate the area of the smaller circle.
Subtract the area of the smaller circle from the area of the larger circle.
The area of a circle is calculated by multiplying the radius squared by pi. The radius of the larger circle is 60 mm, so the area of the larger circle is:
[tex]A_l[/tex] = [tex]\pi[/tex] * [tex](60 mm)^2[/tex]
= 11309.72 [tex]mm^2[/tex]
The radius of the smaller circle is 20 mm, so the area of the smaller circle is:
[tex]A_s[/tex] = [tex]\pi[/tex] * [tex](20 mm)^2[/tex]
= 1256.64 [tex]mm^2[/tex]
The area of the shaded figure is calculated by subtracting the area of the smaller circle from the area of the larger circle:
A = [tex]A_l[/tex] - [tex]A_s[/tex]
= 11309.72 [tex]mm^2[/tex] - 1256.64 [tex]mm^2[/tex]
= 10053.08 [tex]mm^2[/tex]
Therefore, the area of the shaded figure is 10053.08 [tex]mm^2[/tex].
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How to rename 8 2/3 = 7 ?/3
let's firstly convert the mixed fractions to improper fractions and proceed from there.
[tex]\bf \stackrel{mixed}{8\frac{2}{3}}\implies \cfrac{8\cdot 3+2}{3}\implies \stackrel{improper}{\cfrac{26}{3}}~\hfill \stackrel{mixed}{7\frac{x}{3}}\implies \cfrac{7\cdot 3+x}{3}\implies \stackrel{improper}{\cfrac{21+x}{3}} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\bf \cfrac{26}{3}=\cfrac{21+x}{3}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{3}}{3\left( \cfrac{26}{3} \right)=3\left( \cfrac{21+x}{3} \right)}\implies 26=21+x\implies \boxed{5=x} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill 8\frac{2}{3}=7\frac{5}{3}~\hfill[/tex]
7 5/3 if that’s what your asking
8 2/3 is equal to 7 5/3
What is the approximate value of f(5) for the function f(x)=6.87(2.5)(x – 1)?
Answer:
68.7
Step-by-step explanation:
We need only estimate (approximate) the value of f(x) at x = 5:
f(x)=6.87(2.5)(x – 1) → f(5)=6.87(2.5)(5 – 1).
Note that 2.5(4) = 10, so now we have (exactly) f(5)=6.87(10), which, in turn, is
equal to 68.7.
What is the area, in square inches, of the figure shown here?
25 POINTS PLEASE HELP A parallelogram with a height of 2 inches is shown. The height of the parallelogram is used to divide the side of the parallelogram into 5 inches, which is the length (or side) of the rectangle, and into 2 inches, which is the base of the triangle formed by the division.
10 in2
14 in2
16 in2
20 in2
Answer:
B.[tex]14in^{2}[/tex]
Step-by-step explanation:
Solve this by using one of two methods.
Split up into different shapes:
This method uses the sum of the areas of a rectangle and two triangles to find the area of the parallelogram:
[tex]A=(b*h)_{rectangle} +2*(0.5*b*h)_{triangle} \\A=(5*2)+2(0.5*2*2)\\A=10+4\\A=14in^{2}[/tex]
Use Parallelogram formula:
This formula is the same as the formula for a rectangle where you multiply the base by the height.
[tex]A=b*h\\A=(5+2)*2\\A=14in^{2}[/tex]
Answer: The answer is 14 in2
in a right triangle with one angle measuring 40 degrees, the leg opposite the 40 degree angle is 5cm. what is the length of the hypotenuse?
ANSWER
7.8cm
EXPLANATION
Given an acute angle of the right triangle to be 40°, the two sides of the triangles involve are the opposite side and the hypotenuse.
The trigonometric ratio that, involves opposite side and the hypotenuse is the sine ratio.
[tex] \sin(40 \degree) = \frac{opposite}{hypotenuse} [/tex]
[tex] \sin(40 \degree) = \frac{5}{hypotenuse} [/tex]
hypotenuse =5÷sin(40°)
hypotenuse=7.77cm