Answer:
22
Step-by-step explanation:
5(5) -3
25-3
22
Answer:
the answer is 22.
Step-by-step explanation:
Which of these graphs do not represent constant rates of change? Check all that apply.
Answer:
A,D
Step-by-step explanation:
I'm taking the test
The first and the fourth graph do not represent constant rates of change. Hence, option A and option D are correct.
What is a graph?
A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
In the first and the fourth graph the function follows a curved graph because of it, it does not follow linearity. In the second and third graphs, the function follows a linear line, therefore, it shows a constant rate of change.
Hence, option A and option D are correct.
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Applying the translation (x, y) → (x – 3, y + 7) maps the point (–4, 7) onto the point ________. Question 16 options: A) (–7, 14) B) (14, –7) C) (7, –14) D) (14, 7)
Answer:
A
Step-by-step explanation:
(-4-3, 7+7)
(-7, 14)
Answer: A
Step-by-step explanation:
What is the angle of rotation from figure D to figure D’ ? Assume that the center of rotation is the origin.
A. 270° clockwise
B. 90° clockwise
C. 90° counterclockwise
D. 180° counterclockwise
Answer:
Option B.
Step-by-step explanation:
We take a point D from the figure attached,
Coordinates for the point D → (-1.5, 3.5)
And coordinates of D' → (3.5, 1.5)
Coordinates of D when rotated about the origin,
Option A. Rotated by 270° clockwise.
Rule to be followed,
D(x, y) → D'(-y, x)
D(-1.5, 3.5) → D'(-3.5, -1.5)
Therefore, Option A. is incorrect
Option B. rotation by 90° clockwise
Rule to be followed
D(x, y) → D'(y, -x)
D(-1.5, 3.5) → D'(3.5, 1.5)
Therefore, Option B. is correct.
Option C. 90° counterclockwise
Rule to be followed,
D(x, y) → D'(-y, x)
D(-1.5, 3.5) → D'(-3.5, -1.5)
This option C is incorrect.
Option D. 180° counterclockwise
Rule to be followed,
D(x, y) → D'(-x, -y)
D(-1.5, 3.5) → D'(1.5, -3.5)
Therefore, option D is incorrect.
Answer:
B. 90 clockwise
Step-by-step explanation:
Classify the triangle by its angles and by its sides.
Answer:
Acute and Scalene.
Step-by-step explanation:
By definition, an acute triangle is one that has three angles that are less than 90 degrees. This triangle falls under the category.
By definition, a scalene triangle is one that has three sides with different measurements. This triangle falls under the category.
Hope this helps!
ASAP What is the slope of the line y= 3?
Answer:
the slope is zero because
Step-by-step explanation:
this is a perfect horizontal line passing through y=-3
I've been thought
hope it helps
Answer:
Slope = 0
This is because the line does not go up or down. And the line is horizontal leading to the factor of the slope being 0.
Two whole numbers have a least common multiple (LCM) of 40.
• Each number is greater than 2.
• The greatest common factor (GCF) of the two numbers is 2.
What are the two numbers?
1.
20 and 2
2.
10 and 8
10 and 4
4.
8 and 5
pls this is due in 10 minutes pls help.
Answer:
10 and 8
Step-by-step explanation:
Case 1:
20 and 2
20 = 2^2 x 5
2 = 2^1
=> LCM = 2^2 x 5 = 20 (not 40)
=> Incorrect pair of numbers
Case 2:
10 and 8
10 = 2 x 5
8 = 2^3
=> LCM = 2^3 x 5 = 40
=> GCF = 2
=> Correct pair of numbers
Case 3:
10 and 4
10 = 2 x 5
4 = 2^2
=> LCM = 2^2 x 5 = 20 (not 40)
=> Incorrect pair of numbers
Case 4:
8 and 5
8 = 2^3
5 = 5 x 1
=> GCF = 1 (not 2)
=> Incorrect pair of numbers
Hope this helps!
:)
The numbers which have the least common multiple (LCM) of 40 and greatest common factor (GCF) of the two numbers is 2 are 8 and 10.
Wht are LCM and GCF?The LCM (Lowest Common Multiple) of two or more numbers is the smallest number among all common multiples of the provided numbers. In contrast, the greatest common factor (GCF) is the highest number among all the common factors of the given numbers.
Given that, two whole numbers have the least common multiple (LCM) of 40. and greatest common factor (GCF) of the two numbers is 2.
Let the two numbers be x and y
Now, we know that,
LCM (a, b) × HCF (a, b) = a × b.
40 × 2 = xy
xy = 80
Therefore, the product of two number is 80.
Now, from the given options, the only pair having product 80 is 8 and 10.
Therefore, the numbers are 8 and 10.
Hence, the numbers which have the least common multiple (LCM) of 40 and greatest common factor (GCF) of the two numbers is 2 are 8 and 10.
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the image of the circle x2+y2-2x+3y=8 after being reflected by the line y=2x-3 is----------------.pls anyone
Answer:
The image of the circle is 9·x² + 9·y² - 42·x + 33·y = 22
Step-by-step explanation:
We convert the equation to the form (x - h)² + (y - k)² = r²
Where:
(h, k) = Coordinates of the center of the circle
We therefore have;
x² + y² - 2·x + 3·y = 8 which gives;
x² - 2·x + 1 - 1 + y² + 3·y + (3/2)² - (3/2)² = 8
(x - 1)² + (y + 3/2)² - 1 - (3/2)² = 8
(x - 1)² + (y + 3/2)² = 8 + 1 + (3/2)² = 45/4
Therefore, the center = (1, -3/2) and the radius = √5 × 3/2
The line joining the centers of the actual (1, -3/2) and reflected circle (h, k) is bisected by the line of reflection, therefore the midpoint of the line is on the line of reflection with coordinates;
Midpoint between (1, -3/2) and (h, k) = [tex]\left (\dfrac{{h - 1}}{2}, \, \dfrac{k - 3/2}{2} \right )[/tex]
Which gives;
y = 2·x - 3 being equivalent to [tex]\dfrac{k - 3/2}{2} = 2\times\dfrac{{h - 1}}{2} - 3[/tex]
Which gives;
4·h -2·k -13 = 0.......(1)
Similarly the slope of the reflecting line is perpendicular to the line joining the centers of the actual and reflected circles
Therefore;
The slope of the line, y = 2·x - 3 = 2, hence we have;
[tex]\dfrac{\left ( \dfrac{k - 3/2}{2} \right ) + 3/2}{\left (\dfrac{{h - 1}}{2}-1 \right )} = \dfrac{1}{2}[/tex]
Which gives;
2·h -4·k -12 = 0.......(2)
Multiplying equation (2) and subtracting from equation (1) gives
4·h -2·k -13 - 2×(2·h -4·k -12) = 0
6·k + 11 = 0
k = -11/6
From which we have;
2·h -4×(-11/6) -12 = 0
Hence;
h = 7/3
Therefore, the center of the reflected circle = (7/3, -11/6)
The equation of the reflected circle is therefore;
(x - 7/3)² + (y + 11/6)² = 45/4
Which gives;
9·x² + 9·y² - 42·x + 33·y - 22 = 0
or x² + y² - 42/9·x + 33/9·y = 22/9.
What company should he rent from
A falling object travels a distance given by the formula d= 3t + 3t ^2, where d is measured in feet and t is measured in seconds. How many seconds will it take for the object to travel 50 feet?
Answer:
3.61 sec
Step-by-step explanation:
Set the given d= 3t + 3t ^2 equal to 50 and solve for t:
3t^2 + 3t - 50 = 0
This is a quadratic equation with coefficients 3, 3 and -50. The discriminant is b^2 - 4ac, or 3^2 - 4(3)(-50), or 9 + 600 = 609
The roots of this quadratic are therefore:
-(3) ± √609 -3 ± 24.68 21.68
t = -------------------- = ------------------- = ----------- = 3.61 sec
2(3) 6 6
297 miles in 11 gallons of gas what is the unit rate
Answer: 27 miles in 1 gallon
Step-by-step explanation:
297/11
The unit rate of 297 miles in 11 gallons will be 27 miles/gallons.
What are the ratio and proportion?The ratio is the division of the two numbers.
For example, a/b, where a will be the numerator and b, will be the denominator.
We will be used when division is not possible wholly
For example 4/2 is divisible so we write 2 instant of 4/2 while 1/3 is not divisible so we write 1/3 instant of 0.33.
Proportion is the relation of a variable with another. It could be direct or inverse.
The ratio is very useful to determine complex calculation where decimal number become tough to solve.
Given,
297 miles in 11 gallons
297 miles ⇔ 11 gallons
Divide by 11 on both sides
297/11 miles ⇔ 11/11 gallons
27 miles ⇔ 1 gallon
So, 27 miles in 1 gallon.
Hence unit rate is 27 miles/gallon will be correct.
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Find the GCF of 22ab2 c2 and 40a 3 c2.
4a3b2c2
2ab2c2
4ac2
2ac2
Answer:
work is shown and pictured
the high temperature in Alaska in December was 30 f and the low temperature was -2 f. what is the difference between the high and low temperatures?
Answer:
the difference would be 28 degrees.
Step-by-step explanation:
The question says difference so we subtract the two following temperatures 30 and -2 which would be 28 degreees.
Answer: The difference between the high and low temperature in the thermometer is 32°F.
Step-by-step explanation:
Given information: Highest temperature = 30°F and the lowest temperature = -2°F.
We need to find the difference between the high and low temperature in the thermometer.
Difference between the high and low temperature is
Difference = Highest temperature - Lowest temperature
Difference = 30°F - (-2°F)
Difference = 30°F + 2°F
Difference = 32°F
Anybody know this pls help
Answer:
1. (-1/4,0)(1.5,0)
2.(-1/2,2)(6/4,2)
Step-by-step explanation:
just locate the numbers on the graph
What addition expression is shown on the
number line?
8
+
?
15
HELPPPPPPPPPPPPP
Solve for x: two fifths(x − 2) = 4x.
x = two ninths
x = −2
x = negative two ninths
x = negative nine halves
Answer:
x = - [tex]\frac{2}{9}[/tex]
Step-by-step explanation:
Given
[tex]\frac{2}{5}[/tex] (x - 2) = 4x
Multiply both sides by 5 to clear the fraction
2(x - 2) = 20x ( divide both sides by 2 )
x - 2 = 10x ( subtract x from both sides )
- 2 = 9x ( divide both sides by 9 )
- [tex]\frac{2}{9}[/tex] = x
Find the volume of this prism.
41 cm?
11 cm
Answer:
451cm cubed
Step-by-step explanation:
The volume of any prism = Area of cross section times height.
So, we substitute area of Cross section with 41 cm squared and height with 11.
41 x 11 = 451
HELP ASAP!!!! There is a clip below.
The volume is 15/16 cubic meters.
please see the attached picture for full solution
hope it helps
what is the square root of 345 to the 9th power
Answer:
[tex](\sqrt[2]{32})^{9}[/tex]=5931641.60152
Step-by-step explanation:
:)
the ratio of the number of Annes pencils to the number of jasons pencils is 4:3. Anne has 100 pencils how many pencils does Jason have
Answer:
Jason has 75 pencils.
Step-by-step explanation:
In order to get from 4 to 100, you must multiply by 25 (100/4 = 25). And in order to find the amount of pencils Jason has, you must have an equivalent ratio. So you have to also multiply 3 by 25, 3 * 25 = 75. Jason has 75 pencils.
Question 1
What is the measure of x?
Answer:
110
Step-by-step explanation:
Which is the graph of 3x – 4y = 6?
Answer:
D
Step-by-step explanation:
3x-4y=6
-4y=-3x+6
y=(3/4)x-(3/2)
positive slope with y-intercept at -3/2 corresponds to D
Graph includes the points (0,-3/2) and (2,0). Therefore, option D is the correct answer.
What is the graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points. A graph consists of some points and lines between them. The length of the lines and position of the points do not matter.
The given linear equation is 3x-4y=6
Graph the line using the slope and y-intercept, or two points.
Slope: 3/4
y-intercept:
(0,-3/2)
Plot the points (0,-3/2) and (2,0)
Therefore, option D is the correct answer.
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A student solved the following system of equations
incorrectly using these steps:
2x + 5y = 13
-x + 4y = 13
What error did the student make?
In line 2, the student forgot to multiply the
right side of the equation by 2.
In line 3, the student should have subtracted
the equations instead of adding them.
In line 3, the student added the two equations
incorrectly
In line 5. the student used an incorrect
equation when solving for x
1 2x + 5y = 13
2 + -2x + 8y = 13
3
13y = 26
4
y = 2
DONE
5
6
7
8
2x + 5(2) = 13
2x + 10 = 13
2x 3
X = 1.5
The solution to the system is (1.5.2).
5Intro
Answer:
if the solution to the system is 1.5 and 2
Then the mistake was in line 2 the student should have subtracted the eqations instead of adding them.
Step-by-step explanation:
if y = 2
Then 8y -5y = 3y
4x -x = (4 = 1.5 x 2 2/3) =4 if x = 1.5
3y = 2 2/3 = 3 if y = 2
The ratio stays the same.
The student mistake was in line 2, the student forgot to multiply the
right side of the equation by 2.
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Given:
2x + 5y = 13
-x + 4y = 13
The first steps are correct.
In second step the LHS and RHS both should be multiplied by 2.
So,
-2x + 8y = 26
But, the student only multiply 2 on the LHS side.
Hence, the student mistake was in line 2, the student forgot to multiply the right side of the equation by 2.
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Are these rates equivalent?
25 minutes for 3$
1 hour for 6$
Answer:
no
Step-by-step explanation:
25 minutes for $3 ends up being $7.20 for 1 hour which is greater than 6.
Answer:
no
Step-by-step explanation:
We can use ratios to see if they are equivalent
25 minutes 60 minutes
---------------- = -------------------
3 dollars 6 dollars
Using cross products
25*6 = 3 * 60
150 = 180
This is not true so they are not equivalent
Please Do 3 for 5 points.
Answer:
44, 46, and 48
Step-by-step explanation:
add them and you should get 138.
Find the infinite geometric sum of 4+2.4+1.44+...
Answer:
4+2.4=6.4+1.44=7.84
The infinite geometric sum of 4+2.4+1.44+... will be 10.
What is the common ratio?At each point in the sequence, you multiply or divide by the common ratio. Divide two sets of phrases that follow one another to find it. Whichever pair of terms is picked, as long as they appear next to one another in the sequence, is irrelevant.
It is given that, the sequence is 4+2.4+1.44+...
The sequence is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
Divergent sequences are those in which the terms never stabilize; instead, they constantly increase or decrease as n approaches infinity, approaching either infinity or -infinity.
It is obtained that the common ratio is,
r=2.4/4
r=0.6
The Sum of an infinite geometric sequence is,
S = a / (1-r)
S=4 / (1-0.6)
S=10
Thus, the infinite geometric sum of 4+2.4+1.44+... will be 10.
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Line parallel to y-1=4(x+3) and passes through (4,32)
Answer:
y - 32 = 4(x - 4)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
y - 1 = 4(x + 3) ← is in point- slope form
with slope m = 4
Parallel lines have equal slopes.
Using m = 4 and (a, b) = (4, 32), then
y - 32 = 4(x - 4) ← equation of parallel line
76,45,64, 80, 92
Calculate the sample standard deviation
Answer:
15.94490514
Step-by-step explanation:
First, work out the average, or arithmetic mean, of the numbers:
Count: 5(How many numbers)
Sum: 357(All the numbers added up)
Mean: 71.4(Arithmetic mean = Sum / Count)
Then, take each number, subtract the mean and square the result:
Differences:
4.6, -26.4, -7.4, 8.6, 20.6
(Every Number minus Mean)
Differences^2:
21.16, 696.96, 54.76, 73.96, 424.36
(Square of each difference)
Now calculate the Variance:
Sum of Differences2:1271.2(Add up the Squared Differences)
Variance:254.24(Sum of Differences2 / Count)
Lastly, take the square root of the Variance:
Standard Deviation:15.94490514 (The square root of the Variance)
- Mrs. Ward found 80-ounce packages of hamburger on sale. If she needs to make
2 of each size hamburger, how many packages of meat will she need to buy?
The question is incomplete! Complete question along with answer and step by step explanation is provided below.
Question:
The Whispering Lakes Neighborhood Association is having a hamburger cookout. Each family can choose whether to order the hamburgers or bring their own. Use the information in the table to solve the number stories. Use drawings, tables, or equations to show what you did.
Mrs. Ward found 80-ounce packages of hamburger on sale. If she needs to make 2 of each size hamburger, how many packages of meat will she need to buy?
Answer:
The number of meat packages is
100/80 = 1.25 = 5/4
Assuming that the number of packages cannot be in fraction, then she would need at least 2 packages of meat.
Number of meat packages = 2
Step-by-step explanation:
Please refer to the attached table where we are given size of hamburgers and the weight of corresponding hamburger patty in pounds.
small = 1/8 lb
medium = 1/4 lb
large = 1/2 lb
jumbo = 3/4 lb
king of burgers = 1 1/2 lb = 3/2 lb
To make 1 of each hamburger we need
Total weight of patty = 1/8 + 1/4 + 1/2 + 3/4 + 3/2
Total weight of patty = 25/8 = 3.125 lb
But she needs to make 2 of each size hamburger so,
Total weight of patty = (25/8)×2 = 25/4 = 6.25 lb
Mrs. Ward found 80-ounce packages of hamburger on sale
first we have to convert pounds into ounces
We know that 1 pound has 16 ounces
6.25×16 = 100 ounces
So the number of meat packages required is
100/80 = 1.25 = 5/4
Assuming that the number of packages cannot be in fraction, then she would need at least 2 packages of meat.
Number of meat packages = 2
Please help! I have not seen a correct answer yet :(
A standard six-sided die is rolled 6 times. You are told that among the rolls, there was one 1, two 2's, and three 3's. How many possible sequences of rolls could there have been? (For example, 3,2,3,1,3,2 is one possible sequence.)
Answer:
60 possible sequences.
Step-by-step explanation:
That would be 6! / 3! 2!
6*5*4*3*2*1
= ------------------
3*2*1*2*1
= 5*4*3
= 60.
pls help i give brainliest and 5 stars
Step-by-step explanation:
Explanation:
The formula for volume of a sphere is:
V=43πr3
Since we know the volume, and have to find the diameter (twice the radius), we need to determine the radius first.
Hence, using the given data:
2304π=43πr3
We can cancel π from each side.
2304=43r3
Multiply both sides by 34.
2304×34=34×43r3
2304×34=34×43r3
2304×34=r3
5762304×34=r3
576×3=r3
To find the cube root, we separate the factors of the number on the left.
3⋅3⋅3⋅4⋅4⋅4=r3
(3⋅4)(3⋅4)(3⋅4)=r3
12×12×12=r3
12=r
Since the radius (r) is 12, the diameter, which is 2r, will be:
2×12=24