Answer:
20v^7w^5y^8.
Step-by-step explanation:
The LCM of 4 and 10 is 20.
of v^7 and v^2 is v^7
of w^5 and w^4 is w^5
So the answer is 20v^7w^5y^8.
What is the Approximate volume of the sphere below?
Answer:
16.75
Step-by-step explanation:
do pie times 4/3 times the radius and you will get your answer
[tex]\bf \textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=4 \end{cases}\implies V=\cfrac{4\pi (4)^3}{3} \\\\\\ V=\cfrac{256\pi }{3}\implies V\approx \stackrel{in^3}{268.08}[/tex]
Karen earns $62.25 for working 9 hours. if the amount she earns varies with the number of hours she works how much will she earn for working 15 hours? round to the nearest hundredth
Answer:
$103.75
Step-by-step explanation:
we know that
Karen earns $62.25 for working 9 hour
so
using proportion
Find out how much she will earn for working 15 hours
[tex]\frac{62.25}{9}\ \frac{\$}{h}=\frac{x}{15}\ \frac{\$}{h}\\\\x=62.25(15)/9\\\\x=\$103.75[/tex]
I’m stuck... does anyone know the answer?
2cm=6ft.
Length=6cm=3×(2cm)=>3×6=18ft
Width=4cm=2×(2cm)=>2×6=12ft.
Answer: 3rd option, length=18ft, width=12ft
A standard deck of 52 cards contains 4 suits: hearts, clubs, diamonds, and spades. Each suit consists of cards
numbered 2 through 10, a jack, a queen, a king, and an ace.
Zhi Qing decides to pick one card at random from a standard deck of 52 cards. Let A be the event that she
chooses a three card and B be the event that she chooses a seven card.
What is P(A or B), the probability that the card Zhi Qing chooses is either a three or a seven?
Answer:
[tex]\frac{2}{13}[/tex]
Step-by-step explanation:
In probability,
"OR" means "addition"
"AND" means "multiplication"
We want probability of A "OR" B, that means we find each individual probability and "ADD" them.
P(A) means P(choosing a 3 card):
There are 4 three-cards, 1 from each suit, and a total of 52 cards, so
P(A) = 4/52 = 1/13
P(B) means P(choosing a 7 card):
There are 4 seven-cards, 1 from each suit, and a total of 52 cards, so
P(B) = 4/52 = 1/13
Now,
P(A or B) = P(A) + P(B) = 1/13 + 1/13 = 2/13
The answer is [tex]\frac{2}{13}[/tex]
Answer: 2/13
Step-by-step explanation:
Find the surface area of number 2
Answer:
190 cm^2
Step-by-step explanation:
Base: 10 × 3 = 30 (×2 = 60)
Small faces: 5 × 3 = 15 (×2 = 30)
Larger faces: 5 × 10 = 50 (×2 = 100)
Add: 100 + 60 + 30 = 190
Kendra gets a paycheck of $300 after 5 days of work. At this rate, how much does
she get paid for working 24 days?
Answer:1440
Step-by-step explanation:
I’m guessing that’s cuz 300/15 is 60 then 60 times 24?
First, let's start by figuring out how much Kendra gets paid per day. To do this, we can divide 300 by 5. 300 / 5 equals $60 per day.
Next, we can take the amount she gets paid per day and multiply it by the number of days, 24. 24 * 60 = $1440.
At the rate of $60 per day, Kendra will get paid $1440 for working 24 days.
Hope this helps!! :)
what’s the mean of 14,9,20,5,17,13
Answer:
13
Step-by-step explanation:
14+9+20+5+17+13 = 78
78/6= 13
To find the mean you always add all the data and then divide it by the amount of data.
Please help! Help would be appreciated! I am having a brain fart, or maybe I'm just dumb.
What are the factors of 49?
Idk if there is any, but idk.
Thanks!
Answer:
1,7,49
Step-by-step explanation:
Answer: 7 squared
Step-by-step explanation:
49 = 1 x 49 or 7 x 7.
Factors of 49: 1, 7, 49.
Prime factorization: 49 = 7 x 7
which can also be written 49 = 7².
5 Points
What is the equation of a circle with center (2, -3) and radius 3?
O A. (x-2)* - (y +3) - 9
O B. (x - 2)* +(y + 3) - 9
O C. (x - 2)2 +(y+3)? - 3
O D. (x + 2) + (y - 3) - 9
Answer:
(x - 2)² + (y + 3)² = 9
Step-by-step explanation:
(x - h)² + (y - k)² = r²
(x - 2)² + (y - (-3))² = 3²
(x - 2)² + (y + 3)² = 9
The equation of the circle is (x - 2)^2 + (y + 3)^2 - 9 = 0.
The correct option is (B).
What is a circle?A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point.
As per the given data:
We are given the coordinates for the center of a circle and the measure of the radius of the circle. We have to find out the equation of the circle
The coordinates of the center of the circle (O) = (2, -3)
The radius of the circle = 3
The standard equation of the circle with center (h, k) and radius r is given by:
(x - h)^2 + (y - k)^2 = r^2
By substituting (h, k) ⇒ (2, -3) and r = 3
(x - 2)^2 + (y + 3)^2 = 3^2
= (x - 2)^2 + (y + 3)^2 = 9
The equation of the circle is (x - 2)^2 + (y + 3)^2 - 9 = 0.
Hence, The equation of the circle is (x - 2)^2 + (y + 3)^2 - 9 = 0.
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When creating vases for the craft fair, Thomas used the proportion 3 pounds of clay is to 8 vases as 9 pounds of clay is to 24 vases. Which proportion can be used to represent the situation? StartFraction 3 over 8 EndFraction = StartFraction 24 over 9 EndFraction StartFraction 3 over 8 EndFraction = StartFraction 9 over 24 EndFraction StartFraction 3 over 9 EndFraction = StartFraction 24 over 8 EndFraction StartFraction 9 over 3 EndFraction = StartFraction 8 over 24 EndFraction
Answer:
The correct answer is B. 3/8 = 9/24
Quadrilateral ABCD is inscribed in this circle.
What is the measure of ZA?
Enter your answer in the box.
Given:
ABCD is a cyclic quadrilateral.
m∠C = 43°
To find:
The measure of ∠A.
Solution:
In cylic quadrilateral, opposite angles are supplementary.
⇒ m∠A + m∠C = 180°
⇒ m∠A + 43° = 180°
Subtract 43° from both sides.
⇒ m∠A + 43° - 43° = 180° - 43°
⇒ m∠A = 137°
The measure of ∠A is 137°.
What type of number is 4π
?
A
Irrational number
B
Rational number
C
Integer
D
Whole number. PLEASE PLEASE HELP ME
Answer: irrational number
Step-by-step explanation:
4π is an irrational number.
Explanation:The number 4π is an irrational number. An irrational number is a number that cannot be expressed as a fraction. In this case, 4π is the product of the rational number 4 and the irrational number π. Since π is an irrational number, their product, 4π, is also an irrational number.
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Expreessions represent The sum of 3 and n
Answer:
3+n
Step-by-step explanation:
Simple questions but it can be technical atimes, according to the question we are to solve in terms of n, simple...
The sum of 3 and n can be written as 3+n
This cannot be solved further because there are two different variables and it is impossible to add them together
Therefore the final answer is 3+n
But in case a value is given for n we can then substitute and solve further
Hope this will help you
Answer:
Step-by-step explanation:
n+3
3+n
30% of the tickets sold at the Sweet Tarrant School carnival were early-admission tickets. If the school sold 200 tickets in all, how many early-admission tickets did it sell?
After being rearranged and simplified, which two of the following equations
could be solved using the quadratic formula?
A. 5x + 2x - 4 = 2x2
B. x2 - 6x - 7 = 2x
C. 5x2 – 3x+ 10 = 2x2
D. 2x2 – 3x+ 10 = 2x2 + 21
Answer:
A. 5x + 2x - 4 = 2x2 <- Yes
x = 7/4 + sqrt(17)/4 or x = 7/4 - sqrt(17)/4
B. x^2 - 6x - 7 = 2x <- Yes
x = 4 + sqrt(23) or x = 4 - sqrt(23)
C: 5x^2 – 3x+ 10 = 2x2 <- Yes
x = 1/2 + 1/2 i sqrt(37/3) or x = 1/2 - 1/2 i sqrt(37/3)
D . 2x^2 – 3x+ 10 = 2x^2 + 21x = -11/3 <- No
Step-by-step explanation:
Solve for x over the real numbers:
5 x + 2 x - 4 = 2 x^2
5 x + 2 x - 4 = 7 x - 4:
7 x - 4 = 2 x^2
Subtract 2 x^2 from both sides:
-2 x^2 + 7 x - 4 = 0
Divide both sides by -2:
x^2 - (7 x)/2 + 2 = 0
Subtract 2 from both sides:
x^2 - (7 x)/2 = -2
Add 49/16 to both sides:
x^2 - (7 x)/2 + 49/16 = 17/16
Write the left hand side as a square:
(x - 7/4)^2 = 17/16
Take the square root of both sides:
x - 7/4 = sqrt(17)/4 or x - 7/4 = -sqrt(17)/4
Add 7/4 to both sides:
x = 7/4 + sqrt(17)/4 or x - 7/4 = -sqrt(17)/4
Add 7/4 to both sides:
Answer: x = 7/4 + sqrt(17)/4 or x = 7/4 - sqrt(17)/4
______________________________________________
Solve for x over the real numbers:
x^2 - 6 x - 7 = 2 x
Subtract 2 x from both sides:
x^2 - 8 x - 7 = 0
Add 7 to both sides:
x^2 - 8 x = 7
Add 16 to both sides:
x^2 - 8 x + 16 = 23
Write the left hand side as a square:
(x - 4)^2 = 23
Take the square root of both sides:
x - 4 = sqrt(23) or x - 4 = -sqrt(23)
Add 4 to both sides:
x = 4 + sqrt(23) or x - 4 = -sqrt(23)
Add 4 to both sides:
Answer: x = 4 + sqrt(23) or x = 4 - sqrt(23)
_________________________________________________
Solve for x:
5 x^2 - 3 x + 10 = 2 x^2
Subtract 2 x^2 from both sides:
3 x^2 - 3 x + 10 = 0
Divide both sides by 3:
x^2 - x + 10/3 = 0
Subtract 10/3 from both sides:
x^2 - x = -10/3
Add 1/4 to both sides:
x^2 - x + 1/4 = -37/12
Write the left hand side as a square:
(x - 1/2)^2 = -37/12
Take the square root of both sides:
x - 1/2 = 1/2 i sqrt(37/3) or x - 1/2 = -1/2 i sqrt(37/3)
Add 1/2 to both sides:
x = 1/2 + 1/2 i sqrt(37/3) or x - 1/2 = -1/2 i sqrt(37/3)
Add 1/2 to both sides:
Answer: x = 1/2 + 1/2 i sqrt(37/3) or x = 1/2 - 1/2 i sqrt(37/3)
________________________________________________
Solve for x over the real numbers:
2 x^2 - 3 x + 10 = 2 x^2 + 21
Subtract 2 x^2 + 21 from both sides:
-3 x - 11 = 0
Multiply both sides by -1:
3 x + 11 = 0
Subtract 11 from both sides:
3 x = -11
Divide both sides by 3:
Answer: x = -11/3
Answer: A. 5x + 2x - 4 = 2x2 <- Yes
x = 7/4 + sqrt(17)/4 or x = 7/4 - sqrt(17)/4
B. x^2 - 6x - 7 = 2x <- Yes
x = 4 + sqrt(23) or x = 4 - sqrt(23)
C: 5x^2 – 3x+ 10 = 2x2 <- Yes
x = 1/2 + 1/2 i sqrt(37/3) or x = 1/2 - 1/2 i sqrt(37/3)
D . 2x^2 – 3x+ 10 = 2x^2 + 21x = -11/3 <- No
Step-by-step explanation:Solve for x over the real numbers:
5 x + 2 x - 4 = 2 x^2
5 x + 2 x - 4 = 7 x - 4:
7 x - 4 = 2 x^2
Subtract 2 x^2 from both sides:
-2 x^2 + 7 x - 4 = 0
Divide both sides by -2:
x^2 - (7 x)/2 + 2 = 0
Subtract 2 from both sides:
x^2 - (7 x)/2 = -2
Add 49/16 to both sides:
x^2 - (7 x)/2 + 49/16 = 17/16
Write the left-hand side as a square:
(x - 7/4)^2 = 17/16
Take the square root of both sides:
x - 7/4 = sqrt(17)/4 or x - 7/4 = -sqrt(17)/4
Add 7/4 to both sides:
x = 7/4 + sqrt(17)/4 or x - 7/4 = -sqrt(17)/4
Add 7/4 to both sides:
Answer: x = 7/4 + sqrt(17)/4 or x = 7/4 - sqrt(17)/4
______________________________________________
Solve for x over the real numbers:
x^2 - 6 x - 7 = 2 x
Subtract 2 x from both sides:
x^2 - 8 x - 7 = 0
Add 7 to both sides:
x^2 - 8 x = 7
Add 16 to both sides:
x^2 - 8 x + 16 = 23
Write the left-hand side as a square:
(x - 4)^2 = 23
Take the square root of both sides:
x - 4 = sqrt(23) or x - 4 = -sqrt(23)
Add 4 to both sides:
x = 4 + sqrt(23) or x - 4 = -sqrt(23)
Add 4 to both sides:
Answer: x = 4 + sqrt(23) or x = 4 - sqrt(23)
_________________________________________________
Solve for x:
5 x^2 - 3 x + 10 = 2 x^2
Subtract 2 x^2 from both sides:
3 x^2 - 3 x + 10 = 0
Divide both sides by 3:
x^2 - x + 10/3 = 0
Subtract 10/3 from both sides:
x^2 - x = -10/3
Add 1/4 to both sides:
x^2 - x + 1/4 = -37/12
Write the left-hand side as a square:
(x - 1/2)^2 = -37/12
Take the square root of both sides:
x - 1/2 = 1/2 i sqrt(37/3) or x - 1/2 = -1/2 i sqrt(37/3)
Add 1/2 to both sides:
x = 1/2 + 1/2 i sqrt(37/3) or x - 1/2 = -1/2 i sqrt(37/3)
Add 1/2 to both sides:
Answer: x = 1/2 + 1/2 i sqrt(37/3) or x = 1/2 - 1/2 i sqrt(37/3)
________________________________________________
Solve for x over the real numbers:
2 x^2 - 3 x + 10 = 2 x^2 + 21
Subtract 2 x^2 + 21 from both sides:
-3 x - 11 = 0
Multiply both sides by -1:
3 x + 11 = 0
Subtract 11 from both sides:
3 x = -11
Divide both sides by 3:
Answer: x = -11/3
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Please simplify: (-2b^3)^4-3(-2b^4)^3
Explain why is equal to the sum of the measures of the two nonadjacent interior angles. **What is the name of the property?***
Exterior Angle Property
Step-by-step explanation:
Interior Angle :
The angle formed with in the closed boundary of the triangle is called an interior angle.
In the given figure, α , β and γ are interior angles.
Exterior Angles:
The angle formed outside the closed boundary of the triangle is called an exterior angle.
In the given figure, γ' is an exterior angles.
Sum of the measures of the two non-adjacent interior angles is EQUAL to measure of an exterior angle of a triangle.
⇒ α + β = γ'
This property is known as " Exterior Angle Property"
Also, here angles γ and γ' are making a linear pair.
γ + γ' = 180°
A rectangular piece of paper is 6 inches wide and 8 inches long. A square with a side of 3/4 inch is cut out from each of the four corners. How much paper is left after the corners are removed?
Answer:
45 in.
Step-by-step explanation:
6 x 8 = 48
.75 x 4 = 3
48 - 3 = 45
45 inches left
After cutting out four square corners, each with a side length of 3/4 inch from a 6 by 8 inches rectangular piece of paper, 45.75 square inches of paper is left.
To solve how much paper is left after the corners are removed, we need to calculate the total area of the paper and subtract the total area of the corners that were cut out.
The original dimensions of the paper are 6 inches by 8 inches, so its total area is:
Area of rectangle = width times length = 6 inches times 8 inches = 48 square inches.
Each corner is a square with a side of 3/4 inch, so the area of one corner is:
Area of one square corner = (3/4 inch) times (3/4 inch) = 9/16 square inches.
Since there are four corners:
Total area removed = 4 inches (9/16 square inches) = 9/4 square inches = 2.25 square inches.
Finally, subtract the area removed from the total area to find the remaining area:
Remaining area = Total area of rectangle - Total area removed
Remaining area = 48 square inches - 2.25 square inches = 45.75 square inches.
Therefore, after cutting out the corners, 45.75 square inches of paper is left.
ted popped a baseball straight up with an initial velocity of 48 ft/s. The height, h, in feet, of the ball above the ground is modeled by the function h(t)=-16t2 +48t+3. How long was the ball in the air if the catcher the ball 3 feet above the ground?
Answer:
3 seconds
Step-by-step explanation:
We have to give us the following function h (t) = - 16 * t ^ 2 + 48 * t + 3
Now, they tell us that the height is 3 feet, therefore replacing that value we have left:
3 = -16 * t ^ 2 + 48 * t + 3, operating cancels 3. And it would be:
-16 * t ^ 2 + 48 * t = 0
Removing common factor -16 * t, it would be:
(-16 * t) * (t - 3) = 0
We have two solutions:
-16 * t = 0 ---> t = 0
t - 3 = 0 ---> t = 3
Because the time cannot be 0 seconds, the time it would take the ball in the air is 3 seconds.
The ball was in the air for 3 seconds.
Explanation:To find how long the ball was in the air when the catcher caught it 3 feet above the ground, we need to solve for t in the equation -16t^2 + 48t + 3 = 3. Simplifying the equation, we get -16t^2 + 48t = 0. Factoring out 16t, we have 16t(-t + 3) = 0. Setting each factor equal to zero, we find two solutions: t = 0 and t = 3 seconds. Since we are only interested in the time the ball was in the air, we discard the solution t = 0 and conclude that the ball was in the air for 3 seconds.
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A box contains 8 red marbles, 9 blue marbles and 11 yellow marbles. What is the probability that a marble chosen randomly from the box is blue? Leave answer as a fraction
Answer:
nerd kjhvgcfxdgchvbjknlmStep-by-step explanation:1=22=1therefore 2=1-1 -11=0?See it doesn't work, therefore its wrongFinal answer:
The probability of drawing a blue marble from a box containing 8 red, 9 blue, and 11 yellow marbles is calculated by dividing the number of blue marbles (9) by the total number of marbles (28), resulting in a probability of 9/28.
Explanation:
The question asks for the probability that a marble chosen randomly from a box is blue, given that the box contains 8 red marbles, 9 blue marbles, and 11 yellow marbles. To find this probability, you divide the number of blue marbles by the total number of marbles. Here's the calculation:
Total number of marbles = 8 red + 9 blue + 11 yellow = 28 marbles.Number of blue marbles = 9.Probability of drawing a blue marble = Number of blue marbles / Total number of marbles = 9 / 28.Therefore, the probability of drawing a blue marble from the box is 9/28.
Figure the 7% sales tax on $2.19 bottle of window cleaning solution and a gel pen which costs $2.75.
PLZ HELP I WILL GIVE OUT TONS OF POINTS!
Answer:
sales tax on a bottle of window cleaning solution = $0.1533
sales tax on a gel pen=$0.1925
Step-by-step explanation:
The price of bottle of window cleaning solution = $2.19
Sales tax =7%
Applying the tax, 7/100 * 2.19 = $0.1533
The price of a gel pen = $2.75
Applying the sales tax;
7/100 * 2.75 = $0.1925
The 7% sales tax on a $2.19 bottle of window cleaning solution and a $2.75 gel pen is around $0.35.
Explanation:To calculate the 7% sales tax on a $2.19 bottle of window cleaning solution and a $2.75 gel pen, you first need to find the total cost of the items. Add $2.19 and $2.75 which equals $4.94. This is your base amount on which you will calculate the sales tax.
To get the tax amount, multiply the total cost by the tax rate as a decimal (7% = 0.07). So, $4.94 * 0.07 = $0.35 approximately. This will be the sales tax charged on these items.
Therefore, if you buy a window cleaning solution and gel pen, you would pay around $0.35 in taxes assuming a 7% sales tax.
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Nick and Tasha are buying supplies for a camping trip. They need to buy chocolate bars to make s’mores, their favorite campfire dessert. Each of them has a different recipe for their perfect s’mores
Nick likes to use 12 of Chocolate bar to make a s’more. Tasha will only eat a s’more that’s is made 25 of a chocolate bar. What fraction of chocolate will nick and Tasha use in total if they each eat one s’more?
Answer:
9/10
Step-by-step explanation:
first you find the lowest common denominator. 1/2 becomes 5/10, 2/5 becomes 4/10. 5/10+4/10=9/10
There are 350 calories in 1 1/2 cups of spaghetti. Two cups of spaghetti have
Answer: 466.67 calories in 2 cups of spaghetti
Step-by-step explanation: if there are 350 calories in 1 1/2 cups of spaghetti you only need have a cup to make 2 cups then 1/3 of 350 calories is 116.67
so 350 + 116.67= 466.67
please give brainliest
This question pertains to Health in Middle School.
Explanation:The subject of this question is Health and the grade level is Middle School.
The curriculum committee at Larchmont High School wants to offer a new elective course next year. They decide to survey Larchmont's 150015001500 students to determine which course students would prefer. The choices are History of Art, Robotics, and Money and You.
Answer:
This is khan answear
Assign a number to each student, and use a computer program to generate 150150150 random numbers between 111 and 150015001500. Ask those students whose numbers are selected.
Step-by-step explanation:
Answer:
Assign a number to each student, and use a computer program to generate 150 random numbers between 1 and 150. Ask those students whose numbers are selected.
Step-by-step explanation:
What are the slope and y-intercept of the line 4y = –x – 32?
Answer: Slope: -1/4
Y-intercept: -8
Answer:Dante’s soccer team sells T-shirts to raise money for new equipment. For each T-shirt sold, the team raises $8. Parents also make a donation of $100 toward the equipment.
What is the equation that represents the total amount raised, y, if x T-shirts are sold?
Step-by-step explanation:
I need a bit of help. Evaluate the expression: -11²
Answer:
-121
Step-by-step explanation:
-11² = -1 × 11² = -1 × 121 = -121
Answer:
If the negative is included in the square, that makes the number positive.
(-11)^2 = 121
If the negative is not included in the square, that makes the number negative.
-(11^2) = -121
simplify the quotient 3^1 divided by 3^4
Answer:
1/243 for edge
Step-by-step explanation:
The simplified form of the quotient 3⁻¹ divided by 3⁴ is 1/243.
What is the quotient?A quotient is defined as when dividing one number by another, the result is called the quotient.
To simplify the quotient 3⁻¹ divided by 3⁴, we can use the rule that says when we divide two exponential expressions with the same base, we can subtract their exponents.
So, we have:
3⁻¹ ÷ 3⁴
3⁻¹ divided by 3⁴ = 3⁻¹⁻⁴
Now, we can simplify the expression by subtracting the exponents:
3⁻¹⁻⁴ = 3⁻⁵ = 1/3⁵ = 1/243
So, the simplified form of the quotient 3⁻¹ divided by 3⁴ is 1/243.
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Help plz ~_~
Which number can be added to the data so that the range of the data will be 55?
56, 81, 54, 47, 45, 94
Answer:
39 or 100
Step-by-step explanation:
45 47 54 56 81 94
Range is 94 - 45 = 49
Either add 100 or 39 to the set.
94+6 = 100
45-6 = 39
True or False: Order of Operation says to simpliy within parenteheses
Answer:
True.
Step-by-step explanation:
It says to work out what is in parentheses first, (PEMDAS).
For example:
2(5 - 3) - 1
5 - 3 = 2 so we have:
2 * 2 - 1
= 4 - 1
= 3.
what is 6 2/3 x 2 1/2 if you answer you will get 35 poinst
mixed fraction [tex]16\frac{2}{3}[/tex]
Step-by-step explanation:
Decimal Form: 16.666667