To solve this problem, we first set up an equation to express the product of the numbers at the vertices of the square in terms of their sum. Then, we use this equation to find the values of the numbers on the edges of the square. The sum of all the numbers on the edges equals to 2 times the square root of 15.
Explanation:Let's denote the four numbers on the edges of the square as a, b, a, b (since it's a square, opposite sides are equal). The products at the vertices are: ab (top left), ab (top right), ab (bottom right) and ab (bottom left).
So the sum of these numbers at the vertices is 4ab = 15. From here, we can solve the equation for ab, giving us ab = 15 / 4.
The problem asks for the sum of the numbers on the edges, which equates to 2a + 2b. As due to our current setup, a = b, we can simplify this to 4a or 4b. But we don't have a or b - we have ab. Because of this, we require a bit of algebra. We know that (a + b)^2 = a^2 + 2ab + b^2. In our case, where a = b, this can simplify to 4a^2. From here, we proceed with ab = 15/4 to replace 2ab in the equation with the latter, and then solve for a^2, followed by a.
The result is a=root(15/4). To get the sum of all the edges, we would then multiply this by 4, giving us 4*root(15/4) = 2root(15).
Learn more about Algebra here:https://brainly.com/question/24875240
#SPJ11
The sum of the numbers on the sides of the square is calculated by doubling the number on the side 'a', adding to double the number of 'b'. With 'b' equals to 15 divided by four times 'a', the sums equals to 2a plus 2 times 15 divided by four times 'a'.
Explanation:Let's denote the numbers on the sides of the square as a, b, a, b, respectively. Hence, each vertex will be the product of a and b, making each vertex to be ab. Given that the total sum of these vertex is 15, we have 4ab = 15, which simplifies to ab = 15/4.
To find the total sum of the numbers on the sides of the square (the edges), we should sum up all a and b's. Therefore the sum will be 2a + 2b. Given that b = 15 / (4a), we can substitute b into the equation, simplifying to get the total sum = 2a + 2*(15 / (4a)). This is the solution to the problem.
Learn more about Algebra here:https://brainly.com/question/24875240
#SPJ12
The following prime factorization of which composite number?
2 to the 2nd power, 3 to the 2nd power, 5.
20. 60. 120. 180.
Answer: none of them
Step-by-step explanation:
BRAINLIEST ASAP Martha places a triangle at (5, 2) on a coordinate plane. If she wants to place a square 7 points away, what might be the coordinates of the square?
Answer:
the coordinates would be (12,2) Hope it helps :)
Step-by-step explanation:
its just that
Chase's birthday party costs $8 for every guest he invites. How many guests can there be
at most of Chase can afford to spend a total of $32 on his birthday party?
Answer:
4 guests
Step-by-step explanation:
If it's $8 every person, 4 x $8 is $32, so he can have 4 guests.
Answer:
4 guests
Step-by-step explanation:
If each guest costs $8, but you can only spend $32, then you need to figure out the number that is multiplied by 8 to get 32. And that number is 4.
4 guests times $8 each=$32
Write the equation of a line that is parallel to y=-7 and that passes through the point 7,5)
Answer:
y = 5
Step-by-step explanation:
Let y = mx + b (1) is the equation of a line we need to find
As we know, it is parallel to y= -7 (with the slope is 0)
However, the slopes of parallel lines are equal
=> the slope of (1) is 0
<=> y = b
And that passes through the point (7,5), we have:
5 = b
=> the equation of a line as the answer of this problem is:
y = 5
Hope it will find you well.
What is the best estimate of the lateral area of a cube with edges that are 2.1 inches long?
The best estimate of the lateral area of a cube with 2.1-inch edges is 17.64 square inches, calculated by squaring the edge length to find the area of one side (4.41 square inches) and then multiplying by four since there are four lateral faces.
The question asks for the best estimate of the lateral area of a cube with edges that are 2.1 inches long.
To calculate the lateral area of a cube, we need the formula for the lateral area, which is the sum of the areas of all the sides excluding the top and bottom faces. Since a cube has six faces, we have four lateral faces to consider.
The area of one face of a cube is obtained by squaring the length of one edge. In this case:
Area of one side = edge length × edge length = 2.1 inches × 2.1 inches = 4.41 square inches
Since there are four sides whose areas we need to count for the lateral area, we multiply the area of one side by four:
Lateral area = 4 × Area of one side = 4 × 4.41 square inches = 17.64 square inches
Therefore, the best estimate of the lateral area of the cube is 17.64 square inches.
Final answer:
The best estimate of the lateral area of a cube with 2.1-inch edges is approximately 17.64 square inches, calculated by squaring the edge length and multiplying by four since a cube has four lateral faces.
Explanation:
The goal is to estimate the lateral area of a cube with edges that are 2.1 inches long. The lateral area of a cube is the sum of the areas of all the sides of the cube, excluding the top and bottom faces. Since the cube has six faces and we only need the sides, we calculate for four faces.
Each face of a cube is a square, so to find the area of one face, we square the length of the edge:
Area of one side = Edge length × Edge length
Area of one side = 2.1 inches × 2.1 inches
Area of one side = 4.41 square inches
Since there are four sides whose area we are considering for the lateral area:
Lateral area = 4 × Area of one side
Lateral area = 4 × 4.41 square inches
Lateral area = 17.64 square inches
So, the best estimate of the lateral area of the cube is approximately 17.64 square inches.
Whtas is 10 to the 10 millionth power
Answer:
100,000,000
Step-by-step explanation:
Answer:
[tex]10^{1000000}[/tex]
Step-by-step explanation:
How does sound intensity differ from loudness?
A.Loudness is measured in hertz, and intensity is measured in decibels.
B. Intensity is measured in hertz, and loudness is measured in decibels.
C.Loudness is a universal measurement, and intensity varies from person to person.
D. Intensity is a universal measurement, and loudness varies from person to person.
The answer is letter B.
Answer:
The answer is D
Step-by-step explanation:
gradpoint
The Stegosaurus dinosaur weighed about 2000 kilograms. The weight of his brain was only 0.004% of the weight of his body. How much did the Stegosaurus brain weigh?
Answer:0.08 kilograms
Step-by-step explanation:
Two number cubes are rolled to determine how a token moves on a game board. The sides of
each number cube are numbered 1, 2, 3, 4, 5 and 6.
There are two options describing how the token will be moved.
Option A: If the product is even, move forward 4 spaces. Otherwise, move backward 8.
Option B: If the product is even, move forward 5 spaces. Otherwise, move backward 9.
Use mathematical expectation to determine which option offers the greater likelihood of moving
closer to the finish line on the game board.
Which statement best explains the better option?
The mathematical expectation of Option A is 1. The mathematical expectation of Option B is 1.5. Option A offers a greater likelihood of advancing to the finish line.
The mathematical expectation of Option A is . The mathematical expectation of Option B is 1. Option B offers a greater likelihood of advancing to the finish line.
The mathematical expectation of Option A is 1.5.The mathematical expectation of Option B is 1. Option A offers a greater likelihood of advancing to the finish line.
The mathematical expectation of Option A is 1. The mathematical expectation of Option B is 1.5. Option B offers a greater likelihood of advancing to the finish line.
Answer:
D. The mathematical expectation of Option A is 1. The mathematical expectation of Option B is 1.5. Option B offers a greater likelihood of advancing to the finish line.
Step-by-step explanation:
The result of a product is odd only when the two numbers are odds.
There are 6*6 = 36 possible outcomes when two dice are rolled. Only 9 of them are a combination of two odd numbers: {1, 1} {1, 3} {1, 5} {3, 1} {3, 3} {3, 5} {5, 1} {5, 3} {5, 5}. Then 36 - 9 = 27 outcomes are even.
P(even) = 27/36 = 0.75
Option A) Mathematical expectation: 0.75*4 + 0.25*(-8) = 1
Option B) Mathematical expectation: 0.75*5 + 0.25*(-9) = 1.5
Tina brought four more than one-half of the number of t-shirts as Maria. If Tina brought
eleven shirts, how many did Maria bring?
1 shirt
2 shirts
9 shirts
14 shirts
Answer:
14 shirts
Step-by-step explanation:
11-4= 7
7 times 2 = 14
Answer:
14 shirts
Step-by-step explanation:
Four less of eleven is 7. 7 is one half of the number of shirts Maria brought, then you do 7+7=14. Hope this helps!
Find the value of X! :)
Answer:
C. 98
Step-by-step explanation:
122 - 24 = 98
Alex wrote nine different positive digits on one red card and eight blue cards, only one digit per card. The product of all the digits on the blue cards is 72576.
What digit is written on the red card?
Answer: 5 is written on the red card.
Step-by-step explanation:
Given that the product of all the digits on the blue cards is 72576.
That is:
4! × 9 × 8 × 7 × 6
= 24 × 3024
= 72576
And the nine different positive digits will be 1 2 3 4 5 6 7 8 9
4! = 4 × 3 × 2 × 1
So, 5 is missing from the product of above number that gave 72576.
Therefore, 5 is the digit is written on the red card
QUESTION 24 • 5 POINTS
Audrey can hike 6 miles on a trail in the same time that she can ride her bike 25 miles on a road. Her hiking speed is 9 miles
per hour slower than her riding speed. Find her riding speed. Round to the nearest tenth.
Answer:
Her riding speed is "11.84 mph".
Step-by-step explanation:
In order to solve this problem we will say that Audrey's riding speed is equal to "x" mph. Since her hiking speed is 9 mph less than her riding speed, then it is "x -9" mph. The average speed formula is given by:
speed = distance/time
Thefore the time to travel a certain distance with a certain speed is:
time = distance/speed
Her time to hike 6 miles is the same as her time to ride 25 miles, therefore:
ride time = hike time
25/x = 6/(x - 9)
25(x-9) = 6x
25x -225 = 6x
19x = 225
x = 225/19 = 11.84 mph
Her riding speed is "11.84 mph".
Jessica can build a bookshelf in 4 hours. Sydney can build a bookshelf in 6 hr. How long will it take them if they build the bookshelf together?
Answer:
About 2.4 Hours
Step-by-step explanation:
1/4+1/6=1/h
12h(1/4+1/6)=12h(1/h)
3h+2h=12
5h=12
12/5=2.4
When working together, Jessica and Sydney can construct a bookshelf in 2.4 hours. This is based on their individual rates of work.
Explanation:This problem involves the concept of rates of work. We need to find out how long it will take for Jessica and Sydney to build a bookshelf together. Jessica builds one bookshelf in 4 hours, so her work rate is 1/4 bookshelves per hour. Sydney builds one bookshelf in 6 hours, hence her work rate is 1/6 bookshelves per hour.
When Jessica and Sydney work together, their work rates add together. So the combined work rate is 1/4 + 1/6 = 5/12 bookshelves per hour. Since they are building just one bookshelf, we can find the time it takes by dividing the number of bookshelves (1) by the work rate (5/12). Therefore, when working together, Jessica and Sydney can build a bookshelf in 12/5 or 2.4 hours.
Learn more about Rates of Work here:https://brainly.com/question/14305692
#SPJ12
PLZZ HELP!
Find the volume of a right rectangular prism with a length of 3, a width of 5, and a height of 6.
A. 14 cubic units
B. 21 cubic units
C. 90 cubic units
D. 196 cubic units
Answer:
C
Step-by-step explanation:
The formula for the volume of a rectangular prism is lwh. In this case, 3*5*6=90 cubic units, or option C. Hope this helps!
what is the maximum height for -16t^2+96t+63
Answer:
h(3) = 207 feet
Step-by-step explanation:
what is the maximum height for -16t^2+96t+63
h(t) = -16t^2+96t+63
We see max height at the vertex of this parabolic function
x = -96/2*(-16) = 3 seconds
h(3) = -16*3*3 + 96*3 + 63
h(3) = -144 + 288 + 63
h(3) = 207 feet
What is the equation of the line that passes through (0, 3) and (7,0)?
A.y =3/7x-3
B.y=3/7x+3
C.y=-3/7x+3
D.y=-3/7x-3
Answer:
y = -3/7x + 3
Step-by-step explanation:
Use the slope formula to find the slope which is -3/7
Then use one of the pairs of points and plug in the x and y values along with the slope to find b
Mrs. Brennan and Mrs. Prato went out for lunch. The cost of Mrs. Brennan’s lunch was $12.95 and the cost of Mrs. Prato’s lunch was $13.71. What is the total cost for both lunches?
Answer:
$26.66
Step-by-step explanation:
12.95+13.71 =26.66
Plzz. Brainliest
Find the probability of getting tails on every toss of a coin when the coin is tossed 5 times.
Answer:
1/10, or 10%
Step-by-step explanation:
There are 2 outcomes you can get from one toss, heads and tails. Therefore, if you tossed it once, the probability of landing tails would be 1/2, or 50%. Since you toss it 5 times, you will multiply the probability of one toss by five. 1/2x5 = 1/10, so your probability of landing tails on every toss when thrown 5 times is 1/10, or 10% :)
A kite is divided into two triangles. Each triangle has a base of 16 in. and a height of 10 in.
What is the area of the kite?
Thank you in advance, and stay safe!
Answer:
160
Step-by-step explanation:
If thats not the answer then its 320
Which simplified fraction is equal to 0.5ModifyingAbove 3 with bar? StartFraction 24 Over 45 EndFraction StartFraction 8 Over 15 EndFraction StartFraction 48 Over 90 EndFraction StartFraction 5 Over 9 EndFraction
Answer:
StartFraction 8 Over 15 EndFraction
Step-by-step explanation:
We want to represent 0.5333... as a fraction. Let's call x that fraction:
x = 0.5333
Then,
10x = 5.3333
100x = 53.333
100x - 10x = 53.333 - 5.3333
90x = 48
x = 48/90
dividing numerator and denominator by 6, we get:
(48/6) / (90/6) =8/15
Answer:
The simplified fraction is 1/8
The correct option is;
StartFraction 8 Over 15 EndFraction
Step-by-step explanation:
Here, we are given the simplified fraction result as [tex]0.5\bar3[/tex] which is the same as [tex]\frac{1}{2}+\frac{1}{30} =\frac{15+1}{30} =\frac{16}{30} =\frac{8}{15}[/tex]0.53333......
Therefore, to find the simplified fraction, we split the resultant value into the component parts as follows;
[tex]0.5\bar3[/tex] = 0.5 + 0.0[tex]\bar3[/tex]
We observe that the above equation is the same as [tex]\frac{1}{2}+\frac{1}{30}[/tex]
Hence, we simplify [tex]\frac{1}{2}+\frac{1}{30}[/tex] to arrive at
Therefore, the simplified fraction = 1/8.
What is the area of a circle with a radius of 20 inches ?
The area of a circle with a radius of 20 inches is 400π square inches, which is approximately 1256.64 square inches.
Explanation:The formula for finding the area of a circle is A = πr², where A is the area and r is the radius of the circle.
Given that the radius of the circle is 20 inches, we can substitute this value into the formula to find the area.
So, the area of the circle with a radius of 20 inches is A = π(20 inches)² = 400π square inches, which is approximately 1256.64 square inches.
Rewrite the function by completing the square.
f(x)=x^2+8x−29
f(x)=(x+__)^2+__
Answer:
(x + 4)² - 45
Step-by-step explanation:
Given
x² + 8x - 29
To complete the square
add/ subtract ( half the coefficient of the x- term)² to x² + 8x
f(x) = x² + 2(4)x + 16 - 16 - 29
= (x + 4)² - 45
The resulting function by completing the square is f(x) = (x+ 4)² - 45
Given the function
f(x) = x² + 8x - 29
The function can also be grouped like this:
f(x) = (x² + 8x) - 29
Completing the square of the function in parenthesis
f(x) = (x² + 8x) - 29
To do that, we will add the square of the half of the coefficient of x:
Coefficient of x = 8
half of Coefficient of x = 8/2 = 4
Squaring the result = 4² = 16
The function will then become:
f(x) = (x² + 8x + 16 - 16) - 29
f(x) = (x² + 8x + 16) - 16 - 29
f(x) = (x² + 8x + 16) - 45
Factorizing the function in bracket:
f(x) = (x+ 4)² - 45
Hence the resulting function by completing the square is f(x) = (x+ 4)² - 45
Learn more here: https://brainly.com/question/13981588
Brandon throws a ball across a field. The ball's height, in feet, is modeled by the
function f(t) = -1/2+2 + 2t + 6, where t represents time in seconds. How long does it
take the ball to hit the ground?
C A) 8 seconds
C B) 6 seconds
C C) 2 seconds
D) 4 seconds
C) 2 seconds
Pennfoster/ James Madison
The ball will take 6 seconds to hit the ground.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
f(t) = -1/2t² + 2t + 6
Now, if ball hit the ground then f(t)=0
0 = -1/2t² + 2t + 6
-t² + 4t + 12=0
t² - 4t -12 = 0
t² - 6t + 2t -12 = 0
t(t- 6) + 2( t- 6)= 0
(t- 6) (t+ 2)=0
t= 6, -2.
Hence, the ball will take 6 seconds.
Learn more about Equation here:
https://brainly.com/question/29657983
#SPJ2
Two cylinders have the same size base, but one is twice as tall. Explain why the taller cylinder does not have double the surface area
Answer:
Because surface area has nothing to do with how tall it is
Step-by-step explanation:
Surface area involves the base shape of the object, if both cylinders have a base of the same size and shape, then the surface area of the face of that object will remain the same. how tall the cylinder is would affect volume however.
Please mark brainliest :)
Answer:
Sample response: The surface area of a cylinder is the sum of the areas of the two bases and the area of the lateral surface. If the height of the cylinder is doubled, the area of the lateral surface is doubled, but the areas of the bases remain the same.Step-by-step explanation:
f(x)=x^2. What is g(x)
Answer:
D
Step-by-step explanation:
1.Write the expression for when you translate the graph of y = x + 7 one unit to the left
2. Write the expression for when you translate the graph of y = 3x− 5 one unit to the right.
To translate y = x + 7 one unit to the left, the expression becomes y = x + 8. To move y = 3x - 5 one unit to the right, it becomes y = 3x - 8. The translation shifts the graph parallel to the x-axis while maintaining its shape.
To translate the graph of the function y = x + 7 one unit to the left, we substitute x with (x + 1) because adding to the independent variable moves the graph to the left.
Therefore, the translated expression would be y = (x + 1) + 7 which simplifies to y = x + 8.
Similarly, to translate the graph of the function y = 3x - 5 one unit to the right, we substitute x with (x - 1) because subtracting from the independent variable moves the graph to the right.
The translated expression is y = 3(x - 1) - 5, which simplifies to y = 3x - 3 - 5 or y = 3x - 8.
The process of translating graphs involves shifting each point parallel to the x-axis, either to the left or right, by the desired number of units without altering the shape of the graph.
Coordinates please answer correctly I am counting on you!!! ❤️❤️❤️
Answer:
what is the first question i need to see the first question before giving you the answer
Step-by-step explanation:
or question 4
When 240 sixth grade students were polled results showed that 96 students were dissatisfied with the music played at the school dance what percentage of sixth grade students does this represent
(use at least 2 strategies)
(Ratios and Proportional Relationships Percents)
Answer: 40%
Step-by-step explanation:
Total students= 240
Dissatisfied students= 96
To get the percentage of sixth grade students that were dissatisfied with the music played in the school, we divide 96 by 240 and multiply the result by 100. This can be written as:
= 96/240 × 100
= 0.4 × 100
= 40%
The percentage represented is 40%
1. What is the circumference of the given circle in terms of pi? radius= 14 in.
A. 14 pi in
B. 28 pi in
C 42 pi in
D 196 pi in
2. What is the circumference in terms of pi? Diameter= 6.6m.
A.16.2 pi m^2
B. 10.89 pi m^2
C. 21.78 pi m^2
D. 43.56 pi m^2
Answer:
1. B 2. B
Step-by-step explanation:
1. The formula for circumference is C= pi times diameter
Radius is half of diameter, so you'd multiply 14 times 2 which gives you 28. Since it's asking for it in pi, it'll be 28 pi.
2. I think instead of circumference, it's asking for area because if it was asking for circumference the answer would have been 6.6 pi, but that answer isn't there. So if it's asking for area, the formula is A= pi(r²) They gave the diameter instead. Remember, the radius is half of the diameter, so in order to get the radius, you'd divide 6.6 by 2 and get 3.3. Then, multiply 3.3 with the number itself, and you'll get 10.89.
Hope this helps!
1. What is the circumference of the given circle in terms of pi? radius= 14 in.
A. 14 pi in
B. 28 pi in
C 42 pi in
D 196 pi in
2. What is the circumference in terms of pi? Diameter= 6.6m.
A.16.2 pi m^2
B. 10.89 pi m^2
C. 21.78 pi m^2
D. 43.56 pi m^2
these would be both B
B. 28 pi in
B. 10.89 pi m^2