Answer:
step 2
Step-by-step explanation:
When you subtract an expression from another expression, you need to distribute the (-) sign.
step 1 (6x³ + 8x² - 7x) - (2x³ - 16x² + 3x - 24)
step 2 6x³ + 8x² - 7x - 2x³ + 16x² - 3x + 24
step 3 4x³ + 24x² - 10x + 24
Can someone please solve number 9 and ten please
Answer:
In question number 9 I think is: 3. In question number 10 is: 3. If is not corect well...Im sorry I tried my best :) Hope it helps!
Step-by-step explanation:
Find 2.1 x 32
Find 2.3 x 5.8
Find 7.5 x 23.4
Answer:
69
Step-by-step explanation:
trust me
Answer:
1. 67.2
2.13.34
3. 175.5
Step-by-step explanation:
Is a quadrilateral a square?
Answer:
No but a square is a quadrilateral
Step-by-step explanation:
hope this helps :)
Answer:
If I were to be honest no Edit: yes it is
Step-by-step explanation:
No because a square has straight parrallel corners. But a quadrilateral has slanted parallel corners.
Hope that helped. But maybe wait for sumone else to answer too. : )
Edit: nvm my bad I was wrong
If f(x)=x²+3x-2
find f(-2)
Answer:
f(- 2) = - 4
Step-by-step explanation:
To evaluate f(- 2) substitute x = - 2 into f(x) , that is
f(- 2) = (- 2)² + 3(- 2) - 2 = 4 - 6 - 2 = - 4
Value of f(-2) is -4
Given that;
f(x) = x²+3x-2
Find;
Value of f(-2)
Computation:
Given that;
f(x) = x²+3x-2
By putting x = -2
f(-2) = (-2)² + 3(-2) - 2
f(-2) = 4 - 6 - 2
f(-2) = 4 - 8
f(-2) = -4
So, -4 is the correct answer to the given equation.
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A 45° sector in a circle has an area of 13.75π cm².
What is the area of the circle?
Use 3.14 for pi.
Enter your answer as a decimal in the box.
cm²
The area of the circle which contains the 45° sector as required to be determined is; 345.4 cm².
What is the area of the circle in discuss?As evident from the task content; A 45° sector in a circle has an area of 13.75π cm².
Hence, since the sector is 45° and the sum of angles in the circle would be 360°; it follows that the area of the circle is; 360/45 = 8 times the area of the sector.
Area of circle = 8 × 13.75π
= 8 × 13.75 × 3.14
= 345.4 cm².
Ultimately, the area of the circle is; 345.4 cm².
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PLEASE HELP ASAP!!
The equation of the graph is (x-3)(x+1), the y-intercept of y=\(x^{2} -5x+4\) is "4" and the factors of y=\(x^{2} -5x+4\) are (x-4) ad (x-1)
Given that a graph touch x-axis at 2 points i.e. 2 roots are there for given graph.The graph touches the x-axis at (3,0) and (-1,0) it implies x=3 and x=-1 are the solutions the equation,(x-3) and (x+1) are factors of equation
Therefore,the equation of graph is (x-3)(x+1).
Given the equation y=\(x^{2} -5x+4\)
The y-intercept is defined as the graph passing a fixed point at x=0 line
i.e.(0,c) pass through it . c is the y-intercept
c=0-0+4
c=4
Therefore,The y-intercept of the equation y=\(x^{2} -5x+4\) is 4
Factorising y=\(x^{2} -5x+4\)
⇒ y=\(x^{2} -5x+4\)
⇒y=\(x^{2} -x-4x+4\)
⇒y=x(x-1)-4(x-1)
⇒y=(x-4)(x-1)
Therefore, the factors of y=\(x^{2} -5x+4\) are (x-4) and(x-1)
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pls help me with is problem
Answer:
Oliver walked 3 miles in 2 hours and he walked 24 miles in 16 hours.
Step-by-step explanation:
Divide 9 by 6 and you'll get 1.5. 1.5 goes into 3 two times, so the first answer is 2 and then do 16 times 1.5 and you'll get 24.
Hope this helps.
Please give brainliest.
if a = 6, evaluate the following expression: 36/3a
Answer:
2
Step-by-step explanation:
1) substitute a=6 into 36/3a:
36/3×6
2) calculate: 36/3×6 ->2
A mobile phone costs £85. Insurance is 15% on top of the price of the phone. How much is the insurance on the phone?
Answer:
The insurance will cost £ 12.75
Step-by-step explanation:
What is the solution to the system of equations below?
y = negative one-third x + 6 and y = one-third x minus 6
no solution
infinitely many solutions
(–18, 12)
(18, 0)
Answer:
D: (18,0)
I got it right on Edge 2020
An equation is formed of two equal expressions. The correct option is D.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Given the two systems of equations,
y = -(1/3)x + 6
y = (1/3)x - 6
Substitute the value of y from equation one with two, we will get,
-(1/3)x + 6 = (1/3)x - 6
6 + 6 = (1/3)x + (1/3)x
12 = (2/3)x
x = (12×3)/2
x = 18
Substitute the value of x in any one of the equations,
y = (1/3)x - 6
y = (1/3)(18) - 6
y = 0
Hence, the solution of the system of equation is (18, 0).
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Find the measure of the indicated angle
Answer:
\(m\angle A = 98\)Step-by-step explanation:
Since it's a triangle all it's interior angles sum up to 180°
The triangle is isosceles which means two of it's angles are equal
From the question
\(m\angle B = m\angle C = 41 \degree\)
So to find \(m \angle A\) add up all the angles and equate it to 180° and solve for A
That's
\(m\angle A + m\angle B + m\angle \: C = 180 \\ m\angle A = 180 -m\angle B - m\angle \: C \\ m\angle A = 180 - 41 - 41 \\ = 180 - 82\)
We have the final answer as
\(m\angle A = 98\)
Hope this helps you
10. If ∆АВС ~ ∆EDC, find AC.
Answer:
AC = 56
Step-by-step explanation:
AC ≅ EC
5x - 5 = 56
5x = 61
x = 61/5
AC = 5(61/5) - 5 = 56
Q
x =
to
60°
(2x+4)°
R
Part B
Find the measure of the labeled exterior angle.
Note that given the above triangle and exterior angle, the value of x is 28° while the value of the exterior angle is 60° (Option D). This is solved using the exterior angle theorem.
What is the exterior angle theorem?
If a triangle side is constructed, the outside angle formed is equal to the sum of the two inside opposing angles.
In this case, the opposing triangles are:
∠PQR = x° and
∠QPR = 60°
While the exterior angle is: (2x+4)°
Given the above theorem,
2x+4 = x + 60
⇒ 2x = 60 -4 (Having collected like terms)
x = 56/2
thus,
x = 28°
Since x is given as approximately 28°
The external angle is given as:
2(28) + 4
⇒ 56 +4
= 60° (Option D)
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A cylindrical can holds 24 cubic inches of soup. The can is 6 inches tall. What is the radius of the base of the soup can?
Answer:
the 24 cubic inches of soup was removed 6 inches tall turn into 4
Step-by-step explanation:
24÷6=4
7.
In the given image, the measure of 2x is
Only enter the number.
P
N
142°
90°
X
* REQUIRED
M
U
Answer:
Angle LMN = 180 - 142
= 38° (sum of angles on a straight line=180)
x = 180 - 90 - 38
= 52° (sum of angles in triangle=180)
A consumer report revealed the following information about three tubes of toothpaste. A tube of Bright is 60% more expensive than a tube of Fresh and has 25% less volume than Glow. A tube of Glow is 25% less expensive than a tube of Bright and has 100/3 more volume than Fresh. Fresh costs 1. 00$ per unit of volume. What is the number of cents per unit of volume of Glow?
Glow costs 16/27 dollars, which is equal to 59.3 cents per volume unit.
Let's start by assigning variables to the unknown prices and volumes of the toothpastes. Let x be the price per unit volume of Fresh, y be the price per unit volume of Glow, and z be the price per unit volume of Bright. Let v1 be the volume of Fresh, v2 be the volume of Glow, and v3 be the volume of Bright. From the information given in the problem, we can set up the following equations:
z = 1.6y (a tube of Bright is 60% more expensive than a tube of Fresh)
v3 = 0.75v2 (a tube of Bright has 25% less volume than Glow)
y = 0.75z (a tube of Glow is 25% less expensive than a tube of Bright)
v2 = v1 + 100/3 (a tube of Glow has 100/3 more volume than Fresh)
We can substitute the first equation into the second equation to eliminate z:
v3 = 0.75v2
(substitute v2 = 0.75z and v1 = 1)
0.75v2 = 0.75(0.75z + 100/3)
0.75v2 = 0.5625z + 25
(substitute z = 1.6y and v2 = v1 + 100/3)
0.75(v1 + 100/3) = 0.5625(1.6y) + 25
0.75v1 + 25/3 = 0.9y + 25
0.75v1 = 0.9y + 50/3
We can substitute the third equation into the fourth equation to eliminate y:
v2 = v1 + 100/3
(substitute y = 0.75z)
0.75z = 0.75(0.75y) + 100/3
z = y + 16/9
(substitute z = 1.6y)
1.6y = y + 16/9
y = 16/27
Therefore, the price per unit volume of Glow is 16/27 dollars, or 59.3 cents per unit of volume.
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What is the probability range that your data fit the expected 1:1:1:1 ratio of phenotypes?a. p < 0.70b.1.42 < p < 2.37c. p = 0.50d. 0.50 < p < 0.70
The probability range that the data fit the expected 1:1:1:1 ratio of phenotypes is between 0.50 and 0.70.
1. Calculate the observed ratio of phenotypes in the data.
2. Calculate the expected ratio of phenotypes for the data.
3. Calculate the probability of the observed ratio being equal to the expected ratio using the Chi-square test.
4. Calculate the probability range that the data fit the expected 1:1:1:1 ratio of phenotypes.
To calculate the probability range that the data fit the expected 1:1:1:1 ratio of phenotypes, first calculate the observed ratio of phenotypes in the data. Then calculate the expected ratio of phenotypes for the data. Next, calculate the probability of the observed ratio being equal to the expected ratio using the Chi-square test. Finally, calculate the probability range that the data fit the expected 1:1:1:1 ratio of phenotypes, which is between 0.50 and 0.70. This is a measure of how likely it is that the data fit the expected ratio.
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the confidence interval for the mean amount of money spent per household on internet service
each month is $47.45 to $72.45. what is the estimated mean?
internet each
The estimated mean amount of money spent per household on internet service each month is $59.95 with confidence interval.
To calculate the estimated mean amount of money spent per household on internet service each month, we first need to find the lower and upper bounds of the confidence interval. The lower bound is $47.45 and the upper bound is $72.45. We then take the average of these two numbers to get the estimated mean. The average of $47.45 and $72.45 is
($47.45 + $72.45) / 2
= $59.95.
Therefore, the estimated mean amount of money spent per household on internet service each month is $59.95.
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Cameron's dog weighs 10 pounds more than her cat. Her dog weighs 7 pounds less than Bill's dog. Cameron's cat weighs 8 pounds. How much does Bill's dog weigh?
Answer:
25
Step-by-step explanation:
10+7+8=25 this is because her cat weighs 8 pounds and her dog weighs 10 pounds more so that's 18 lb. after words it says Cameron's dog weighs 7 pounds less than bills so you do 18+7 and that equals 25
If your test marks in your last 3 tests were: 70%, 82%, and 90%, what's your average test mark?
Answer:
80,66
Step-by-step explanation:
70 + 82 + 90 = 242
for average: you have 3 tests, so 242÷3 = 80,66667
what is negative 8 plus ninety two
Answer:84
Step-by-step explanation:
-8+92
Lo puedes dar la vuelta
92-8= 84
Answer:
84
Step-by-step explanation:
So -8 + 92 = 92 - 8
92
- 8
______
84
So, -8 + 92 = 84
hope this helps:)
A)There are twice as many students in the math club as in the telescope club. Suppose there are $x$ students in the telescope club and $y$ students who are members of both clubs. Find an expression for the total number of students who are in the math club or the telescope club (or both). Give your answer in simplest form.
b)There are twice as many students in the math club as in the telescope club. Suppose there are students in the telescope club and students who are members of both clubs. Find an expression for the total number of students who are in the math club or the telescope club but not both. Give your answer in simplest form.
The number of students in the telescope club by $x$ and the number of students in the math club by $y$.
$y=2x$Now, suppose there are $z$ students who are members of both clubs. Then the total number of students who are in the math club or the telescope club (or both) is given by:$x + y - z$ Substituting $y=2x$ in the above expression, we get:$x + 2x - z=3x - z$ Hence, the expression for the total number of students who are in the math club or the telescope club (or both) is $3x - z$.b)The number of students who are in the math club but not in the telescope club is given by:$y-z$ And the number of students who are in the telescope club but not in the math club is given by:$x-z$ Adding these two expressions, we get the total number of students who are in the math club or the telescope club but not both:$ y-z+x-z $.
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if $x$ is an element of the set $\{ -1, 1, 2 \}$ and $y$ is an element of $\{ -2, -1, 0, 1, 2 \}$, how many distinct values of $x^y$ are positive?
If \($x$\) is an element of the set \($\{ -1, 1, 2 \}$\) and \($y$\) is an element of \($\{ -2, -1, 0, 1, 2 \}$\), the number of distinct values of \($x^y$\) that are positive is 5.
When the base is positive, the exponent produces positive powers.
Now, let's evaluate the power for each possible combination of \($x$\) and \($y$\):
For \($x = -1$\) and \($y$\) being an even number, we get a positive power. Here are the possible even values for \($y$\):
\($y = -2$\) and \($y = 0$\). Therefore, \($x^y$\) is positive for two possible combinations: \($(-1)^{-2} = 1$\) and \($(-1)^{0} = 1$\).
For \($x = 1$\) and any value of \($y$\), the power of \($x$\) is always positive, and the value of \($x$\) is always 1. Therefore, there's only one possible combination: \($1^y = 1$\).
For \($x = 2$\) and \($y$\) being an even number, we get a positive power. Here are the possible even values for \($y$\):
\($y = -2$\) and \($y = 0$\). Therefore, \($x^y$\) is positive for two possible combinations: \($2^{-2} = 1/4$\) and \($2^{0} = 1$\)
For \($x = 2$\) and \($y$\) being an odd number, we get a negative power. Here are the possible odd values for \($y$\):
\($y = -1$\) and \($y = 1$\). Therefore, \($x^y$\) is positive for zero possible combinations.
Therefore, the total number of distinct values of \($x^y$\) that are positive is \($2+1+2 = 5$\).
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Madelyn earned $784 dollars
babysitting last year. If she charges
$14 per hour, how many hours did she
babysit? 784 divided by 14 and show your work
Answer:
56 hours
Step-by-step explanation:
Divide:
$784
-------------- = 56 hrs
($14/hr)
She babysat for 56 hours to earn that $784.
Which number of pets has the most occurrences in your class? which has the fewest? how can you tell by looking at the dot plot?
In order to determine which number of pets has the most occurrences in your class, and which has the fewest, you can analyze the dot plot. A dot plot is a simple graph that shows the frequency of each data point.
Here's how you can interpret the dot plot to answer these questions:
1. Examine the dot plot: Look for the numbers representing the different numbers of pets owned by students in your class. Each dot on the plot represents one occurrence of a specific number of pets.
2. Count the dots: Count the number of dots above each number on the plot. The higher the number of dots above a specific number, the more occurrences of that number of pets in your class.
3. Identify the number with the most occurrences: Find the number on the dot plot that has the highest number of dots above it. This number represents the most occurrences of pets in your class.
4. Determine the number with the fewest occurrences: Identify the number on the dot plot that has the fewest number of dots above it. This number represents the fewest occurrences of pets in your class.
By following these steps and analyzing the dot plot, you can easily identify the number of pets with the most and fewest occurrences in your class. Remember, the dot plot provides a visual representation of the data, allowing you to make conclusions about the frequency of each number of pets.
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To join a local square dancing group, Jan has to pay a $100 sign-up fee plus $25 per month. Write an equation for the cost (y) based on the number of months.
a. y = 25x + 100
b. y = 100x + 25
c. y = 25 + 100x
d. y = 100 + 25x
The correct answer is option A which is y = 25x + 100.
Given the following:
To join a local square dancing group, Jan has to pay a $100 sign-up fee plus $25 per month
We need to write an equation for the cost (y) based on the number of months.
To solve the above problem, the answer is;a. y = 25x + 100
Explanation; Let's break down the problem
The $100 sign-up fee is a fixed cost that is added only once to the monthly fee which is $25. Thus the equation for the cost (y) based on the number of months can be expressed as; y = 25x + 100 where:y is the cost for the number of monthsx is the number of months
Therefore the correct answer is option A which is;y = 25x + 100.
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To join a local square dancing group,
Jan has to pay a $100 sign-up fee plus $25 per month.
The equation for the cost (y) based on the number of months is
y = 25x + 100,
where x is the number of months.
Option A is the correct equation for the cost based on the number of months.
Writing the equation:
y = 25x + 100
Where:
y = Cost based on the number of months
x = Number of months
Therefore, when Jan has been part of the local square dancing group for 1 month, the total cost will be:
$25 * 1 + $100 = $125
And if Jan has been a part of the group for 4 months, then the total cost would be:
$25 * 4 + $100 = $200
Therefore, option A is the correct answer.
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What is the volume of the rectangular prism below
Answer:
D. 501,120mm^3
Step-by-step explanation:
Volume of a rectangle:
length x width x height
So, plug in what you know:
80*104.4*60=
501,120mm^3
The angles of a triangle are (2x-30)º, (2x-60)º and (x-30)º. What is the Value of x?
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
\((2x - 30) + (2x - 60) + (x - 30) = 180 \\ \)
\(5x - 120 = 180\)
Add sides 120
\(5x - 120 + 120 = 180 + 120\)
\(5x = 300\)
Divided sides by 5
\( \frac{5}{5} x = \frac{300}{5} \\ \)
\(x = 60\)
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
x = 60°
Step-by-step explanation:Hi there !
The sum of the angles is 180°
2x-30 + 2x-60 + x-30 = 180
2x + 2x + x = 180° + 30° + 60° + 30°
5x = 300°
x = 300° : 5
x = 60°
Good luck !
Which value of "X" is a solution to this equation?
4x2 +22x +10
Answer:
Two solutions: X = -5 and X = -0.5
Step-by-step explanation:
4x^2 + 22x + 10 = 0 // divide by 2
2x^2 + 11x + 5 = 0
delta = 11^2 - 4 * 2 * 5 = 121 - 40 = 81
sqrt(delta) = 9
x1 = (-11 - 9) / 4 = -5
x2 = (-11 + 9) / 4 = -0.5
Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.
The slope of the line in simplest form is: 1.
How to Find the Slope of a Line?The slope (m) of a line is calculated as:
Slope (m) = rise/run = change in y / change in x.
The horizontal distance across the line is the run, while the vertical distance is the rise.
The blue line shows the rise of the line = 2 units
The red line shows the run of the line = 2 units
Slope (m) = rise/run = 2 units/2 units
Slope (m) = 1
Therefore, the slope of the line in simplest form is: 1.
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