Answer:
3Step-by-step explanation:
Slope of a line is expressed as;
m = y2-y1/x2-x1
m = -3-6/6-9
m = -9/-3
m = 3
Hence the slope of the line passing through the points is 3
Which expressions are equivalent to 8(-10x+3.5y-7)? Select two options.
-80x+24.5y-56
-80x+28y+56
80x+28y+56
4(-20x+7y-14)
-4(-20x+7y-14
Answer:
4(-20x+7y-14) .. only one option correct
Step-by-step explanation:
8(-10x+3.5y-7) = -80x + 28y -56
4(-20x+7y-14) = -80x +28y -56
Determine whether or not the following graph represents two quantities that are proportional to each other. Explain your reasoning.
Answer:
The quantities are not proportional.
Step-by-step explanation:
The values, x and y, do not begin or pass through the origin, (0,0). This means they are not proportional.
The graph represents two quantities are not proportional to each other.
What is Proportional?A relationship is proportional if each pair of data values are related in the same way, by multiplying by a factor. You can recognize a proportional relationship by looking at data, an equation, or a graph.
Given:
As, A relationship is proportionate if its graph is a line or ray that passes through the origin.
and, It is not proportionate if the line or ray does not go through the origin. Additionally, if anything is not linear, it is not proportional.
Here the graph also does not pass through the origin.
Hence, the graph is not proportional.
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Point A is located at (8, 7) and Point B is located at (0, 5) find the midpoint of line segment overline AB .
Answer:
The midpoint of the line segment D = ( 4, 6)
Step-by-step explanation:
Explanation:-
Given points are A(8,7) and B(0,5)
The midpoint of line segment overline AB
Let 'D' be the midpoint of AB
[tex]D= (\frac{x_{1} + x_{2} }{2} , \frac{y_{1} +y_{2} }{2} )[/tex]
[tex]D = (\frac{8+0}{2} , \frac{7+5}{2} )[/tex]
[tex]D = (\frac{8}{2} , \frac{12}{2} )[/tex]
The midpoint of the line segment
D = ( 4, 6)
A triangle has a base of 16" in height of 1/8 inch what is the area?
Answer:
Area of triangle is 1 inches²
Step-by-step explanation:
We are given:
Base of triangle = 16 inches
Height of triangle = [tex]\frac{1}{8} \:[/tex] inches
We need to find:
Area of triangle
The formula used to find Area of triangle is:
[tex]Area \:of\: triangle=\frac{1}{2}\times b \times h[/tex]
where b is base and h is height.
Putting values and finding area:
[tex]Area \:of\: triangle=\frac{1}{2}\times 16 \times \frac{1}{8}\\ Area \:of\: triangle=\frac{16}{16}\\ Area \:of\: triangle=1\:inches^2[/tex]
So, Area of triangle is 1 inches²
a boat is tied to a dock with a 25-foot rope.when the rope is pulled tight, the boat us 18 feet away from the base of the dock. the rope connects to the boat at the level of the water. what is the measure, to the nearest tenth of a degree, of x, the angle formed by the rope and the surface of the water.
Answer:
≈ 44.0°Step-by-step explanation:
Use trigonometry
The ratio of the adjacent side of a right triangle to the hypotenuse is called the cosine:
cos x = 18/25 = 0.72cos x = 0.72x = arccos 0.72x = 43.9455° ≈ 44.0° roundedHelp please on a time crunch.........
Answer:
the last one
Step-by-step explanation:
ax2 + bx + c = 0
-2 = -x + x2 - 4
-1x + 1x2 - 2 = 0
1x2 - 1x -2 = 0
Factor the expression: 4d - 4
How do u do this plz help
Answer: 4(d - 1)
Step-by-step explanation:
both terms in 4d - 4 have a common factor: 4. pull this 4 out of both factors in order to get 4(d - 1)
0.62 devided by 3 please
Answer:
0.206 and then it repeats 6 over and over again
Step-by-step explanation:
hope it helped :)
Answer:
hey there!Step-by-step explanation:
the answer is:
0.20666666666
hope it helped and have a nice day!There are 100 performers in a dance recital. The ratio of men to women is 4 : 6. How many performers in the dance recital were men?
Answer:
40 men
Step-by-step explanation:
100 performers so the total men and women = 100
4 + 6 = 10
100/10 = 10
so 4(10) = 40
WILL MARK YOU BRAINLIEST
Reflect (-5, -3) over the X-axis.
Then translate the result down 2 units.
What are the coordinates of the final point?
Answer:
_____________the answer is (-7,-3)______________
jasmine purchases shoes for $50. The store charges her 8% sales tax on the purchase. If jasmine gives the store owner $60, how much change will she get back?
Answer:
$6
Step-by-step explanation:
50 x 1.08 = 54
60-54=6
1a) Sara sells a car that was priced at $8,500.00. If she makes a commission of 6.5%, how much will she make? *
Answer:
$552.50
Step-by-step explanation:
To find how much she will make, find 6.5% of 8500
8500(0.065)
= 552.5
So, she will make $552.50
Answer:
$552.50
Step-by-step explanation:
The formula we'll use for this is the simple interest formula, or:
[tex]I=P*R[/tex]
Where:
P is the principal amount, $8500.00.
R is the interest rate, 6.5% per year, or in decimal form, 6.5/100=0.065.
To find the simple interest, we multiply 8500 × 0.065 to get that:
The interest is: $552.50
Calculate the quotient. Use paper to show all calculations. Enter your answer in the box below.
6/7 divided by 7 1/2
Answer:
4/35
Step-by-step explanation:
1. Find 7 1/2
15/2
2. Flip 15/2
2/15
3. Multiply
12/105
4. Simplify
4/35
When you graduate college at the age of 20, you want to start saving up for retirement. If your investment pays a fixed APR of 8.5% and you want to have $500,000 when you retire in 45 years, how much would you need to deposit, at the beginning of each month, to reach this goal?
Answer: The answer is A
surface area of a cuboid 1cm by 10cm by 3cm
Answer:
2lw + 2lh+2hw
Step-by-step explanation:
Answer:
If Im right you had to multiple 1 by 10 and 3
Step-by-step explanation:
Your answer will be 30 but dont forget to add the centimeter at the end
30cm
Hope this helps (:
If a group of distinct objects can be arranged in 120 different ways, how many objects are there?
Answer:
Step-by-step explanation:
5!=5×4×3×2×1=120
so there are 5 distinct objects.
Answer:
The correct answer is option C. 5
Step-by-step explanation:
N=120
N=5
Module 2 Lesson 1
Review
Alicia sells 20 bags of chips for $5 If she continues to sell
chips, how much would she make after selling 100 bags?
Answer:
$25 is the answer
Step-by-step explanation:
100/20= 5
5×5=25
Answer:
the correct answer is 400
Step-by-step explanation:
first to figure out the amount for 1 bag u divide 20 and $5 and get 4
then multiple 4 by 100 to $400
20/5=4
4x100=400
hope this helps
please help me asap!!
Answer:
25 square units
Step-by-step explanation:
Area = length x width. The length is 5 units and the width is 5 units. So 5 x 5 = 25 square units.
Answer:
Hmm...do 5 x 5 x 5 x 5 which equals 100
Step-by-step explanation:
5 x 5 is 25
5 x 5 is 25
5 x 5 is 25
5 x 5 is 25
25+25+25+25=100
suppose X and Y are independent random variables, both with normal distributions. If X has a mean of 45 with a standard deviation of 4 and Y has a mean of 35 with a standard deviation of 3, what is the probability that a randomly generated value of X is greater than a randomly generated value of Y
Answer:
0.9772 = 97.72% probability that a randomly generated value of X is greater than a randomly generated value of Y
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question:
[tex]\mu_X = 45, \sigma_X = 4, \mu_Y = 35, \sigma_Y = 3[/tex]
What is the probability that a randomly generated value of X is greater than a randomly generated value of Y
This means that the subtraction of X by Y has to be positive.
When we subtract two normal variables, the mean is the subtraction of their means, and the standard deviation is the square root of the sum of their variances. So
[tex]\mu = \mu_X - \mu_Y = 45 - 35 = 0[/tex]
[tex]\sigma = \sqrt{\sigma_X^2+\sigma_Y^2} = \sqrt{25} = 5[/tex]
We want to find P(X > 0), that is, 1 subtracted by the pvalue of Z when X = 0. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{0 - 10}{5}[/tex]
[tex]Z = -2[/tex]
[tex]Z = -2[/tex] has a pvalue of 0.0228
1 - 0.0228 = 0.9772
0.9772 = 97.72% probability that a randomly generated value of X is greater than a randomly generated value of Y
22. Two automobiles started at the same time from a point, but traveled in
opposite directions. Their rates were 45 and 65 miles per hour respectively.
After how many hours were they 440 miles apart?
Answer:
4
Step-by-step explanation:
45+65=110
110x4=440
Please help o..!!!!!!!
Answer:
the third one
Step-by-step explanation:
this is algebra 2, right?
Answer:
x ≠ 17
Step-by-step explanation:
X can be any number besides 17. If it was 17 you would be dividing by 0 which would cause the universe to implode on itself
Please any help with steps
Answer:
C
Step-by-step explanation:
1 inch=400 miles
x =200 miles
200 is half of 400, so the measurement should be halved as well.
I need help on this question
Apply the Distributive Property and simplify.
- 8(x + 3) = 24
- 8x +
= 24
Answer:
x=-6
Step-by-step explanation:
-8(x+3)=24 first, divide both sides to get x+3=-3
then move the constant to the right and change its sign to get x=-3-3 and calculate to get your answer.
hope this helps!
Two of the steps in the derivation of the quadratic formula are shown below.
Step 6: = b^2-4ac/4a^2= ( x+b/2a )^2
Step 7: = +✔️b^2-4ac/2a= x + b/2a
Which operation is performed in the derivation of the quadratic formula moving from Step 6 to Step 7?
subtracting b/2a from both sides of the equation squaring both sides of the equation taking the square root of both sides of the equation taking the square root of the discriminant
Answer:
taking the square root of both sides of the equation
Step-by-step explanation:
The operation which is performed in the derivation of the quadratic formula moving from Step 6 to Step 7 is taking the square root of both sides of the equation.
What are Quadratic Equations?Quadratic equations are polynomial equations of second degree.
The general form of a quadratic equation is ax² + b x + c = 0.
Given two steps in deriving the quadratic formula which is used to find the roots of a quadratic equation.
The first step is,
step 6 : (b² - 4ac) / (4a)² = (x + b / 2a)²
step 7 : ± √(b² - 4ac) / 2a = x + b / 2a
We have to find which step is done in between to transform from step 6 to step 7.
It is clear that square root is taken.
When the square root is taken in step 6,
±√[(b² - 4ac) / (4a)²] = √[(x + b / 2a)²]
√(b² - 4ac) / √(4a)² = √(x + b / 2a)²
± √(b² - 4ac) / 2a = x + b / 2a
Hence the step performed is taking the square root on both sides.
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Felix chooses a game piece from a bag. This table gives the number of game pieces of each color in the bag. what is the probability that Felix will choose a blue or green piece? Please help me
A. 1/3 | B. 1/4 | C. 1/6 | D.1/2
Color {}{}{}{}{} Number of pieces
______________________
Blue = 2
Green = 2
Red = 3
Yellow = 5
Add the colors together to get total pieces:
2 + 2 + 3 + 5 = 12 total pieces.
Blue and green = 2 + 2 = 4 pieces.
Picking blue of green would be 4/12 which reduces to 1/3
The answer is A. 1/3
What is M - 3 > -2???
Answer:
m>1
Step-by-step explanation:
inverse operations... add 3 to both sides so you get -2+3=1!!
This is marked as wrong? Can anyone please correct my mistake?
Answer:
y - 0 = -⅔(x - 3)
Step-by-step explanation:
Given a point, (a, b) and slope, m, equation of the line in point-slope form can be written.
Thus:
Substitute (a b) = (3, 0), and m = -⅔ into y - b = m(x - a).
y - 0 = -⅔(x - 3) (the equation in point-slope form)
find the area of square if the length of its diagonal is 18 cm
Answer:
324
Step-by-step explanation:
3.) (1.012 X10-2) + (2.4X10-4)
Answer:
=(10.12-2)+(24-4)
=8.12+20
=28.12