Answer:
A. A reflection over the line x = 6
Step-by-step explanation:
You can see in the picture if you follow the line every edge has the same
Number x=6
Kevin has a ratio of 2 wrong answers to 7 correct answers on his math test. If he got 6 questions wrong, then how many did he answer correctly
Answer:
21
Step-by-step explanation:
2:7 Ratio
Since he got 6 wrong it 6:?
6/2 = 3
3*7=21
6:21
He got 21 right
Solve the system of equations. y=x^2–18x–3 y= – 3x–29
The system of equations has two solutions: (13, -208) and (2, -37).
What is the solution to the system of equations?
To solve the system of equations, we can set the expressions for y equal to each other and solve for x:
x^2 - 18x - 3 = -3x - 29
Adding 3x and 29 to both sides, we get:
x^2 - 15x + 26 = 0
Factorizing the left-hand side, we get:
(x - 13)(x - 2) = 0
So, either x - 13 = 0 or x - 2 = 0.
If x - 13 = 0, then x = 13. Substituting this value of x into either of the original equations, we get:
y = 13^2 - 18(13) - 3 = -208
Therefore, one solution to the system of equations is (13, -208).
If x - 2 = 0, then x = 2. Substituting this value of x into either of the original equations, we get:
y = 2^2 - 18(2) - 3 = -37
Therefore, another solution to the system of equations is (2, -37).
Learn more about system of equations here: https://brainly.com/question/25976025
#SPJ1
What is the correct solution set for the following graph?
{ } or empty set
{point in Quadrant II}
{point in Quadrant IV}
{infinite set of points on the line}
The correct solution set for the given graph include the following: D. {infinite set of points on the line}.
What is a quadrant?In Mathematics, a quadrant can be defined as the area that is occupied by the values on the x-coordinate (x-axis) and y-coordinate (y-axis) of a cartesian coordinate.
This ultimately implies that, there are four (4) major quadrants in any graph and these include the following:
Quadrant IQuadrant IIQuadrant IIIQuadrant IVGenerally speaking, the solution set of a graph simply refers to all of the points that lie on its line. By critically observing the graph of lines a and b, we can reasonably infer and logically deduce that they both have the same slope, solution set, as well as increasing and decreasing infinitely.
In this context, the correct solution set lies in both Quadrant II and Quadrant III because both lines move towards negative and positive infinity i.e [-∞, ∞].
Read more on a solution set here: https://brainly.com/question/15452035
#SPJ1
The plot below shows the amount of time Mira spent on
5
55 math problems.
All measurements are rounded to the nearest
1
4
4
1
start fraction, 1, divided by, 4, end fraction minute.
A line plot labeled Time per problem (minutes) shows, moving left to right, labeled tick marks at seven, seven and a half, eight, eight and a half, nine, nine and a half, and ten. An unlabeled tick mark appears between each labeled tick mark. Dots are plotted as follows: 2 dots above the unlabeled tick mark between eight and eight and a half and 3 dots above nine and a half.
A line plot labeled Time per problem (minutes) shows, moving left to right, labeled tick marks at seven, seven and a half, eight, eight and a half, nine, nine and a half, and ten.
If Mira had spent the same total amount of time, but spent an equal amount of time on each problem, how many minutes would each problem have taken?
If Mira had spent the same total amount of time but an equal amount of time on each problem, each problem would have taken around 2.36 minutes.
In the given plot, Mira spent varying amounts of time on each of the 55 math problems. To find out how many minutes each problem would have taken if Mira had spent an equal amount of time on each problem, we need to calculate the total time she spent and divide it by the number of problems.
Looking at the plot, we can estimate the total time Mira spent by counting the dots above each tick mark and multiplying them by the corresponding time interval. Let's break it down step by step:
The tick marks on the plot are at 7, 7.5, 8, 8.5, 9, 9.5, and 10 minutes per problem.
There are 2 dots above the unlabeled tick mark between 8 and 8.5 minutes per problem. We can assume it represents 8.25 minutes.
There are 3 dots above the 9.5 minutes per problem tick mark.
Now, let's calculate the total time Mira spent:
(7 * 2) + (7.5 * 2) + (8 * 2) + (8.25 * 2) + (9 * 2) + (9.5 * 3) + (10 * 2) = 129.5 minutes.
Since Mira spent a total of 129.5 minutes on 55 problems, each problem would have taken approximately 2.36 minutes (rounded to two decimal places) if she had spent an equal amount of time on each problem.
for more such questions on amount
https://brainly.com/question/843074
#SPJ8
You are using a magnifying glass that shows the image of an object that is six tin image of the termite seen through the magnifying glass. 9.5 mm The image length through the magnifying glass is millimeters.
When viewed through the magnifying glass, the termite appears to be approximately 1.58 mm in length.
When using a magnifying glass, the image of an object appears larger. In this case, the termite is being viewed through a magnifying glass that magnifies the image by a factor of six. The actual length of the termite is not mentioned in the given information. However, it is stated that the length of the image seen through the magnifying glass is 9.5 mm.To determine the actual length of the termite, we can divide the length of the image by the magnification factor. Therefore, the actual length of the termite would be 9.5 mm divided by 6, which is approximately 1.58 mm.Therefore, when viewed through the magnifying glass, the termite appears to be approximately 1.58 mm in length.For more questions on magnifying glass
https://brainly.com/question/20876425
#SPJ8
what is 0.001332 in scientific notation i need help
Explanation:
Which equation is correct?
427 × 3 = 400 × 3 + 20 × 3 + 7 × 3
427 × 3 = 400 + 20 × 3 + 7 × 3
427 × 3 = 400 × 3 + 20 × 3 + 7
427 × 3 = 4,000 × 3 + 200 × 3 + 70 × 3
Answer:
A) 427 × 3 = 400 × 3 + 20 × 3 + 7 × 3
Step-by-step explanation:
\(427*3=(400+20+7)*3=(400*3)+(20*3)+(7*3)\)
Therefore, the first option is correct
35 Type the correct answer in each box. Day Amount 1 $26 2 $23 3 $31 4 $26 5 $34 The table shows the amount Bill spent on 5 days last week. The mean of the amount he spent is $ The mean absolute deviation is $ Reset Next
Answer:
The answer is 23 I just took this test and got it right
Step-by-step explanation:
Answer: 23
Step-by-step explanation:
draw angle EFG of size 42 degreees
Angle EFG is an angle with a measure of 42 degrees is drawn below.
Given that, angle EFG= 42 degrees.
Angle EFG is an angle with a measure of 42 degrees. To draw angle EFG, first draw a line segment and mark two points on the line segment. Label the two points E and F. Then, using a protractor, measure out an angle with a measure of 42 degrees from the line segment EF, starting from point E. Finally, mark the end of the angle as point G.
Therefore, angle EFG is an angle with a measure of 42 degrees is drawn below.
To learn more about the construction of an angle visit:
https://brainly.com/question/28451077.
#SPJ1
Amadi is three times as old as Chima. The sum of their ages is 24
Answer:
Amadi: 20 years old
Chima : 4 years old
GIVING BRAILIEST PLEASEE!! Given an exponential function for compounding interest, A(t) = P(0.82)t, what is the rate of decay?
A. 18%
B. 8%
C. 0.82%
D. 82%
Answer:A
Step-by-step explanation:
To find the rate of decay, we need to use the formula A(t) = P(0.82)^t, where A(t) is the amount after t years, P is the initial amount, and 0.82 is the decay factor.
The decay factor is equal to 1 minus the decay rate, so we can solve for the decay rate as follows:
0.82 = 1 - r
r = 1 - 0.82
r = 0.18
Therefore, the rate of decay is 18%, which corresponds to answer choice A.
Answer:
A
Step-by-step explanation:
Periodic Deposit: $1000 at the end of each year Rate: 4.5% compounded annually Time: 11 years
The interest amount is $622.85
How to determine the interest amount?The given parameters are:
Principal, P =$1000 Rate, r = 4.5% compounded annually i.e. n = 1Time, t = 11 yearsThe interest amount is calculated as:
I = P(1 + r/n)^(nt) - P
This gives
I = 1000 * (1 + 4.5%/1)^(1 * 11) - 1000
Evaluate the products and the quotient
I = 1000 * (1 + 0.045)^(11) - 1000
Evaluate the sum
I = 1000 * (1.045)^(11) - 1000
Solve
I = 622.85
Hence, the interest amount is $622.85
Read more about compound interest at:
https://brainly.com/question/24924853
#SPJ1
Preeti discovers that her roommate Shari recently experimented with methamphetamine. Preeti, worried about her roommate, informs Shari that there are risks associated with methamphetamine use, such as the induction of symptoms associated with ____.
psychosis
Preeti informs Shari that there are risks associated with methamphetamine use, such as the induction of symptoms associated with Psychosis
Psychosis is a combination of symptoms resulting in an impaired relationship with reality. It can be a symptom of serious mental health disorders. People who are experiencing psychosis may have either hallucinations or delusions.
If someone is experiencing an episode of psychosis, the main symptoms include:
hallucinationsdelusionsdisorganized behaviorAccording to the question,
Preeti discovers that her roommate Shari recently experimented with methamphetamine. Preeti, worried about her roommate, informs Shari that there are risks associated with methamphetamine use, such as the induction of symptoms associated with Psychosis
To know more about Psychosis here
https://brainly.com/question/28501441
#SPJ4
Graph the inequality. y ≥ |x + 5| - 3
Answer:
1
Step-by-step explanation:
Explain the meaning of the term floor plan in this context
floor plan => It is the scale drawing that show the relationship between rooms, spaces, and physical features viewed from the above
THIS PIC WILL ALSO HELP U
Given right triangle � � � ABC with altitude � � ‾ BD drawn to hypotenuse � � ‾ AC . If � � = 22 AD=22 and � � = 15 , DC=15, what is the length of � � ‾ BD in simplest radical form?
The length of BD is 18.5 units.
In the given right triangle ABC, with altitude BD drawn to hypotenuse AC, we are given the lengths AD = 22 and DC = 15. We need to find the length of BD.
Let's consider triangle ABD. Since BD is the altitude, it divides the right triangle ABC into two smaller right triangles: ABD and CBD.
In triangle ABD, we have the following sides:
AB = AD = 22 (given)
BD = ?
Now, let's consider triangle CBD. In this triangle, we have the following sides:
BC = DC = 15 (given)
BD = ?
Since triangles ABD and CBD share the same base BD, and their heights are the same (BD), we can say that the areas of these triangles are equal.
The area of triangle ABD can be calculated as:
Area(ABD) = (1/2) * AB * BD
Similarly, the area of triangle CBD can be calculated as:
Area(CBD) = (1/2) * BC * BD
Since the areas of ABD and CBD are equal, we can equate their expressions:
(1/2) * AB * BD = (1/2) * BC * BD
We can cancel out the common factor (1/2) and solve for BD:
AB * BD = BC * BD
Dividing both sides of the equation by BD (assuming BD ≠ 0), we get:
AB = BC
In triangle ABC, the lengths AB and BC are equal, which implies that triangle ABC is an isosceles right triangle. In an isosceles right triangle, the leg's length are congruent, so AB = BC = AD = DC.
BD is equal to half of the hypotenuse AC:
BD = (1/2) * AC
Substituting the given values, we have:
BD = (1/2) * (AD + DC) = (1/2) * (22 + 15) = (1/2) * 37 = 18.5
Therefore, the length of BD is 18.5 units.
For more questions on length
https://brainly.com/question/28322552
#SPJ8
This is the graph of f(x). What is the value of f(2)
Answer: 4
Step-by-step explanation:
If all dimensions of a rectangular prism are multiplied by 4, which statement is true?
A. The total surface area is multiplied by 64. The volume is multiplied by 16.
B. The total surface area is multiplied by 64. The volume is multiplied by 64.
C. The total surface area is multiplied by 16. The volume is multiplied by 64.
D. The total surface area is multiplied by 4. The volume is multiplied by 16.
No dam links
Answer:
Step-by-step explanation:
K
The least common denominator of 2/5, 1/2, and 3/4 is:
Answer:
20
Step-by-step explanation:
20 is the least common denominator
2/5, 1/2, and 3/4 fractions have a Least Common Denominator of 20.
What is Least Common Denominator?The lowest common denominator is defined as the set of fraction denominators with the lowest common multiple. The lowest positive integer with more than one denominator in the set is LCD.
What is the fraction?A fraction is defined as a numerical representation of a part of a whole that represents a rational number.
We have to determine the Least Common Denominator of fractions 2/5, 1/2, and 3/4
We need to calculate the factors of the denominators 5, 2, and 4.
⇒ 5 = 5 × 1
⇒ 2 = 2 × 1
⇒ 4 = 2 ×2 × 1
The LCD would be:
⇒ 5 × 2 ×2 × 1 = 20
Hence, 2/5, 1/2, and 3/4 fractions have a Least Common Denominator of 20.
Learn more about the lowest common denominator here:
brainly.com/question/8413590
#SPJ2
Find the factors of following :
8x^2 yz
Answer:
8x²yz
2×2×2×x×x×y×z
factor =2,x,y,&z
Step-by-step explanation:
The factors of 8x²yz are
= 8,x,x,y,z
Hope it will help :)
Determine the turning points and distinguish between them when necessary y=x³ - 3x - 9x + 4
The turning points of the function y = x³ - 3x² - 9x + 4 are (3, -23) and (-1, 9).
To determine the turning points of the given function y = x³ - 3x² - 9x + 4, we need to find the critical points where the derivative of the function is equal to zero.
1. Find the derivative of the function:
y' = 3x² - 6x - 9
2. Set the derivative equal to zero and solve for x:
3x² - 6x - 9 = 0
3. Factorize the quadratic equation:
3(x² - 2x - 3) = 0
4. Solve the quadratic equation by factoring or using the quadratic formula:
(x - 3)(x + 1) = 0
This gives us two possible values for x: x = 3 and x = -1.
5. Substitute these critical points back into the original function to find the corresponding y-values:
For x = 3:
y = (3)³ - 3(3)² - 9(3) + 4
= 27 - 27 - 27 + 4
= -23
For x = -1:
y = (-1)³ - 3(-1)² - 9(-1) + 4
= -1 - 3 + 9 + 4
= 9
6. Therefore, the turning points are (3, -23) and (-1, 9).
Note: It appears that there was a typo in the original equation, where the term "-9x" should have been "-3x²". The above solution assumes the corrected equation.
For more such questions on points, click on:
https://brainly.com/question/26865
#SPJ8
solve -x+y=6 and 2x+5y=-12 using substitution method
x=-6 and y=0 are solutions for the equations 2x+5y=-12.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given equations,
-x+y=6...(1)
2x+5y=-12 ...(2)
From equation 1
y=6+x
Now put y value in 2
2x+5(6+x)=-12
2x+30+5x=-12
7x+30=-12
Subtract 30 on both sides
7x=-12-30
7x=-42
Divide both sides by 7
x=-6
Now plug in x value in equation 1
-(-6)+y=6
6+y=6
y=0
Hence, x=-6 and y=0 for the equations 2x+5y=-12.
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ1
On average, which country user's spend the most time on social media? Which country's users spend the least time?
Answer:
Israel top, canada bottom
Step-by-step explanation:
Don't worry, I have this question too :)
Answer:
On average, Israel's country's users spend the most time on social media. United States' country's users spend the least time.
Step-by-step explanation:
Using the given inputs, we will rewrite these as decimals.
The only fractions that are listed are:
United States - 7 3/5
Canada - 7 7/10
Russia - 10 2/5
Colombia - 8 1/2
To convert a fraction to a decimal, we have to divide the numerator to the denominator. Add this decimal number to the whole number part of the mixed number.
So now, we get:
United States - 7.60
Canada - 7.70
Russia - 10.40
Colombia - 8.50
To determine which ones are greater than the others, you add a 0 to the end of the decimal.
The number with the least value here is 7.6, and the number with the largest value is 10.4. So, Israel's country's users spend the most time on social media. United State's country's users spend the least time on social media.
David found a vintage watch his father lost 38 years ago. The watch’s date showed that it had worked for over two years after his father lost it. When David found the watch, it was 3 times as old as when his father lost it. How old was the watch when David’s father lost it?
Answer:
Step-by-step explanation:
Hey there,
Here's my reasoning regarding the problem:
Let's assume that the watch at the time it was lost was x years old.
When it was picked it was 3 times as old as it was when it was lost therefore it's currently 3x. The time between when it was lost and when it was found is 38 years. We can break this down into a simple algebraic formula:
3x - x = 38
2x = 38
x = 19
A recipe requires 3/4 of a cup of milk for every 1 1/2 cups of flour how many cups of milk are needed for each cup of flour
Answer: 1/2 cup
Step-by-step explanation:
If there are 3/4 cup milk needed for every 1 1/2 cup of flour that means for every 1/2 cup of flour you’ll need 1/4 cup of milk. So for a whole cup of flour you’ll need 2/4 cup of milk which is equivalent to 1/2
Solve for x in the diagram below
Answer:
X=6
Step-by-step explanation:
5x+(x+54)=90
6x+54=90
6x=36
X=6
Solve for the missing side length. Round to the nearest tenth.
5.8
5.2
5.4
5.6
Answer:
C) 5.4-------------------------
Given two legs of a right triangle and we need to find the hypotenuse.
Use Pythagorean theorem:
\(PQ = \sqrt{QR^2+PR^2}\)\(PQ = \sqrt{2^2+5^2} =\sqrt{29} =5.385 = 5.4\ (rounded)\)The matching choice is C.
You are given a choice of taking the simple interest on $100,000 invested for 4 years at a rate of %3 or the interest on $100,000 invested for 4 years at an interest rate of 3% compounded . Which investment earns the greater amount of interest? Give the difference between the amounts of interest earned by the two investments.
The investment with compound interest earns a greater amount of interest by $486.12 compared to the investment with simple interest.
To determine which investment earns a greater amount of interest, we need to calculate the interest earned in both scenarios and compare the results.
1. Simple Interest:
The formula for simple interest is given by: I = P * r * t, where I is the interest, P is the principal amount, r is the interest rate, and t is the time period.
Using this formula, we can calculate the interest earned with simple interest:
I = 100,000 * 0.03 * 4
I = $12,000
2. Compound Interest:
The formula for compound interest is given by: A = P * (1 + r/n)^(n*t), where A is the final amount, P is the principal amount, r is the interest rate, n is the number of times interest is compounded per year, and t is the time period.
In this case, the interest is compounded annually, so n = 1. Let's calculate the amount earned:
A = 100,000 * (1 + 0.03/1)^(1*4)
A = 100,000 * (1.03)^4
A = $112,486.12
The interest earned in the compound interest scenario is A - P = $112,486.12 - $100,000 = $12,486.12.
The difference between the amounts of interest earned by the two investments is:
$12,486.12 - $12,000 = $486.12.
For more such questions on investment
https://brainly.com/question/29227456
#SPJ8
Select the correct answer. Joel and Kevin are each putting money in a savings account to buy a new bicycle. The amount, in dollars, in Joel's savings account, x weeks after the start of the year, is modeled by function j. The amount of money in Kevin's account, at the same time, is modeled by function k. j(x) = 25 + 3x k(x) = 15 + 2x Which function correctly represents how much more money, in dollars, is in Joel's account than in Kevin's account x weeks after the start of the year? O A. (j − k)(x) = 40 + 5x (j − k)(x) = 40 + x (j-k)(x) = 10 + 5x (j-k)(x) = 10 + x O B. C. O D. Reset dtry Next
The correct answer is (j - k)(x) = 10 + x.
To find the difference in the amount of money between Joel's and Kevin's accounts, we subtract the value of Kevin's account (k(x)) from Joel's account (j(x)).
(j - k)(x) = (25 + 3x) - (15 + 2x)
= 25 - 15 + 3x - 2x
= 10 + x
This expression represents how much more money is in Joel's account compared to Kevin's account after x weeks.
Therefore, the correct function is (j - k)(x) = 10 + x.
for such more question on Kevin's account
https://brainly.com/question/26866234
#SPJ11
Help on this math question please
Answer:
3x² + x + 1
-3x² + x + 1
-54
Step-by-step explanation:
there is nothing complicated to it. you just use the requested pertain on the whole expressions of the functions, and the result is then the new function.
so,
r(x) = 3x²
s(x) = x + 1
what do you think s + r is ?
it is simply
(s+r)(x) = 3x² + x + 1
done. that is really all there is to this.
now the next (but consider the sequence due to the sign)
(s-r)(x) = x + 1 - 3x² = -3x² + x + 1
and the third
(s×r)(x) = 3x²(x+1) = 3x³ + 3x²
so, for x=-3
(s×r)(-3) = 3×(-3)³ + 3×(-3)²
remember, an even power of a negative number gives a positive result, an uneven power of a negative number gives a negative result.
(s×r)(x) = 3×-27 + 3×9 = -81 + 27 = -54