Answer:
- If a student studies for 6 hours, they will receive a grade of about 100.
- In general, the longer time spent studying, the higher the student's grade.
Step-by-step explanation:
Given
See attachment for plot
Required
Select all correct options
First, we determine the equation of best fit.
Pick two corresponding points on the plot
[tex](x_1,y_1) = (2,70)[/tex]
[tex](x_2,y_2) = (4,85)[/tex]
Calculate slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 -x_1}[/tex]
[tex]m = \frac{85 - 70}{4-2}[/tex]
[tex]m = \frac{15}{2}[/tex]
[tex]m = 7.5[/tex]
The equation is then calculated as:
[tex]y = m(x - x_1) + y_1[/tex]
This gives:
[tex]y = 7.5(x - 2) + 70[/tex]
[tex]y = 7.5x - 15 + 70[/tex]
[tex]y = 7.5x +55[/tex]
The above represents the line of best fit.
By comparison, (a) is incorrect
We calculate the slope to be:
[tex]m = 7.5[/tex]
Since the slope is positive, then the relationship is positive (b is incorrect)
Also, the positive slope implies that, as x increases, y also increase.
Hence, (d) is correct.
For (c), we substitute 6 for x in the calculated equation of best fit
[tex]y = 7.5x +55[/tex]
[tex]y = 7.5 * 6 + 55[/tex]
[tex]y = 45 + 55[/tex]
[tex]y = 100[/tex]
This shows that (c) is true because 6 hours of study gives a grade of 100
A welder is making a metal cube. The edges of the cube will each measure115 centimeters. What will be the surface area of the metal cube?
79,350 cm
16,000 cm
52,900 cm
13,225 cm
Volume (look at the picture)
Answer:
72
Step-by-step explanation:
volume = l x w x h
4 x 3 x 6
Some one plz help meh I need to understand and I dont
Answer:
It's asking you to find the inputs of the function.
Step-by-step explanation:
Basically, when you input something, you replace "x" in the equation with the number you want to input. For example, if I had the equation: 5x/6+5, then I wanted to input "5", then 5 would replace x in the equation, making 5(5)/6+5. The output they are giving you is simply evaluating the equation that you used to input x, so basically in the case I gave you, the output would be 5(5)/6+5, or 25/6+5, and 55/6. Using the outputs, they want you to find the inputs.
What is the value of X in the equation x²-6x+9=25
Answer:
X = -2 or X = 8
Explanation:
Solve: 2x - 3y = 9 and x + 2y = 1
Answer:
(3, - 1 )
Step-by-step explanation:
Given the 2 equations
2x - 3y = 9 → (1)
x + 2y = 1 → (2)
Rearrange (2) expressing x in terms of y by subtracting 2y from both sides
x = 1 - 2y → (3)
Substitute x = 1 - 2y into (1)
2(1 - 2y) - 3y = 9
2 - 4y - 3y = 9
- 7y + 2 = 9 ( subtract 2 from both sides )
- 7y = 7 ( divide both sides by - 7 )
y = - 1
Substitute y = - 1 into (3) for corresponding value of x
x = 1 - 2(- 1) = 1 + 2 = 3
solution is (3, - 1 )
If cos(x) = 3/5 and sin x < 0, find sin(2x) as a fraction in simplest terms.
sin(2x) =
Answer:
NOT 24/25 and NOT -4/5
Step-by-step explanation:
took the quiz
If cos(x) = 3/5 and sin x < 0, sin(2x) is equal to -24/25 as a fraction in simplest terms.
To find sin(2x), we can use the double-angle formula for sine:
sin(2x) = 2 * sin(x) * cos(x)
Given:
cos(x) = 3/5
sin(x) < 0
We need to determine sin(x) based on the given information.
Using the Pythagorean identity, sin^2(x) + cos^2(x) = 1:
[tex](sin(x))^2 + (cos(x))^2 = 1\\(sin(x))^2 + (3/5)^2 = 1\\(sin(x))^2 + 9/25 = 1\\(sin(x))^2 = 1 - 9/25\\(sin(x))^2 = 16/25[/tex]
sin(x) = -4/5
Now we can the values into the double-angle formula for sine:
sin(2x) = 2 * sin(x) * cos(x)
sin(2x) = 2 * (-4/5) * (3/5)
sin(2x) = (-8/5) * (3/5)
sin(2x) = -24/25
Therefore, sin(2x) is equal to -24/25 as a fraction in simplest terms.
To know more about fraction here
https://brainly.com/question/30154928
#SPJ2
pls helllllllllllllpppppppppp mmmmmmmmeeeeee
Answer:
Hello! answer: 36
Step-by-step explanation:
6 × 7 = 42 3 × 2 = 6 42 - 6 = 36 therefore the area is 36 hope that helps!
Answer:
40cm^2
perimeter:24cm
Step-by-step explanation:
Area: First of all, you can see that the missing height of the shape is 3cm. By adding 4 and 3, you get 7. Then, by multiplying 7 and the length of the shape (6cm), you get 42cm^2. After that, you have to multiply 2cm and 3cm to get the blank area in the bottom right corner to get 6cm^2. Finally, you can subtract 42cm^2(the whole area) by 6cm^2 (the blank area) to get 40cm^2.
Perimeter: Okay! To get the first missing measurement (the one on the left), you have to imagine 4cm being moved to that side. 3cm is parallel to the missing blank space under the 4cm. This means you have to get 7cm (you add 4 and 3). To get the other missing measurement (bottom of the shape) you must see that 6cm would be parallel to the bottom. Since 2cm is also parallel to the bottom, you would have to subtract 2 from 6 to get the bottom of the shape's length, which is 4. Finally, you would have to add 6, 4, 3, 2, 4 and 7 together to get 24cm.
Summer Job!
Earn $150/week
Plus $2.75 per subscription sold
Let: T = Total weekly earnings
N = Number of subscriptions sold
Choose the equation that models weekly earnings for the summer job
advertisement.
Find the area of the blue shaded region. Round your answer to the nearest hundredth.
Answer:
173.17 ft²
Step-by-step explanation:
Use the area of sector formula to help:
area of sector = x°/360 ·πr²
27.93 = 50/360·π(x)²
x= 8.00068
plug back in
360-50/360·π(8.00068)² = 173.1661 =
173.17ft²
Is 864,050 divisible by 10?
Answer:
Yes; 86,405.
Step-by-step explanation:
If the last digit of a number is 0, then it is divisible by 10.
[tex]864,050/10 = 86,405.[/tex]
Amelia went to the grocery store
with $50.00. She spent $4.75 on a
package of hamburger meat,
$2.79 on a package of buns and
$3.99 on a pack of cheese. How
much money did she leave the
store with?
Answer:
38.47 Hope this helps. Thats how much she has left.
If you are asked to describe something, you must ________. (WILL TRY TO MARK BRAINLIEST)
A
compare and contrast
B
draw a conclusion
C
give details about it
D
analyze evidence
Which angles are vertical angles?
Answer:
it's between BCF/DCA and BCF/BCA
The sides of a polygon are 3cm,5cm,6cm,8cm and 10cm.The perimeter of a similar polygons is 48cm.Find the sides of the second polygon.
Answer:
[tex]a'=4.5[/tex]
[tex]b'=7.5[/tex]
[tex]c'=9[/tex]
[tex]d'=12[/tex]
[tex]e'=15[/tex]
Step-by-step explanation:
From the question we are told that:
Sides of Polygon 1
a=3
b=5
c=6
d=8
e=10
Perimeter of polygon 2 P_2=48
Generally the equation for Polygon 1 is mathematically given by
P_1=a+b+c+d+e
P_1=3+5+6+8+10
P_1=32
Generally the sides of similar polygon with Perimeter P_2=48 is mathematically given by
Side\ of\ polygon\ 2 =\frac{side\ of\ polygon\ 1}{perimeter\ of\ polygon\ 1}*perimeter\ of\ polygon\ 2
Therefore
[tex]a'=\frac{a}{P_1}*P_2\\a'=\frac{3}{32}*48[/tex]
[tex]a'=4.5[/tex]
[tex]b'=\frac{b}{P_1}*P_2\\b'=\frac{5}{32}*48[/tex]
[tex]b'=7.5[/tex]
[tex]c'=\frac{c}{P_1}*P_2\\c'=\frac{6}{32}*48[/tex]
[tex]c'=9[/tex]
[tex]d'=\frac{d}{P_1}*P_2\\d'=\frac{8}{32}*48[/tex]
[tex]d'=12[/tex]
[tex]e'=\frac{e}{P_1}*P_2\\e'=\frac{10}{32}*48[/tex]
[tex]e'=15[/tex]
Write the number in 2 equivalent forms as a fraction, decimal, or percent.
0.96
What is the equivalent fraction?
Answer:
96% percent and fraction is 24/25
Answer: Down below
Step-by-step explanation:
64 % = 16 / 25
21 / 50 = 0. 42
9 / 25 = 36 %
2 / 5 = 40 %
/ = divide okay
Which of the following equations is quadratic?
A.) x(x^2 + 1) = 0
B.) 5(4x + 2) = 3
C.) (x + 3)(x + 4) = 5
What is the slope in the equation y= 4x+9
Answer:
4
Step-by-step explanation:
This equation is in the form y = mx + b
In all cases, m equals the slope
So in this case, the slope would be 4.
Pls answer as fast as possible brainliest to the best explanation
If x and x+ 10 are a pair of adjacent angle find them
Answer:
85° and 95°
Step-by-step explanation:
Given that , x and x + 10 are a pair of angles .
If they will be pair of angles on the same line , then their sum will be 180° .=> x + x + 10° = 180°
=> 2x = 180° -10°
=> 2x = 170°
=> x = 170°/2
=> x = 85° .
Hence the two angles are 85° and 95° .PLS HELP !!!!!!!
i rlly need this T__T
Answer:
(3,4) -> (8,3)
(-2,4) -> (3,3)
(-2,5) -> (3,4)
The triangle is translated 5 units to the right and 1 unit down.
Step-by-step explanation:
Add 5 to each x on the (x,y) coordinate and subtract 1 from each y.
The table below represents a function. Which of the following equations could be its function rule? x y 0 0 1 -3 3 -9 -2 6 y = y = 3 x y = -3 x y = x
The answer is y = -3x
Answer:
y=-3x
Step-by-step explanation:
David ha fabricado una caja de cartón sin tapa para guardar sus cromos la caja tiene una base cuadrada cuyos lados miden 30 cm y cuya altura mide 10 cm dibujando su desarrollo plano calcula la cantidad de cartón que necesito David
Answer:
wut language is this
Step-by-step explanation:
in a race, 19 out of 50 runners finished in fewer than 30 minutes. what percent of the runners finished in fewer than 30 minutes? Write and equivalent fraction to find the percent.
Answer:
8 Percent is: 32%
----
25
Step-by-step explanation:
A deli orders ham and turkey. The ratio of the number of ham slices to the number of turkey slices is 2:3. What is the ratio of the number of turkey slices to the total of ahem and turkey slices
Answer:
3 :5
Step-by-step explanation:
A deli orders ham and turkey.
The ratio of the number of ham slices to the number of turkey slices is 2:3.
Hence:
Ham slices: Turkey slices
2:3
Sum of proportion = 2 + 3 = 5
Ratio of turkey slices = 3
Ratio of the total of ham and turkey slices = sum of proportion = 5
Therefore, the ratio of the number of turkey slices to the total of ham and turkey slices is
3:5
PLS HELP NEED ANSWER REALLY SOON!!
PLEASE ANSWER NO LINK PLEASE WILL GIVE BRANLIEST
Answer:
You just need to find the area of each part and add them
Step-by-step explanation:
the answer is 48+20+THE BOTTOM 4TH
im not sure how to do the bottom because I can't seem to find the radius
ignore my answers before but i think it is 181.1
ABCD is a quadrilateral with A(8,21),B(10,27),C(26,26) and D(18,2). Determine whether ABCD is a trapizoid
ABCD is a trapezoid
Step-by-step explanation:Given points of the quadrilateral:
A(8,21),B(10,27),C(26,26) and D(18,2)
To show whether ABCD is a trapezoid, we find a pair of parallel sides in ABCD. If two of its sides are parallel to each other then ABCD is a trapezoid.
Step 1: With the given points, sketch a graph. The diagram is attached to this response.
Step 2: As shown in the diagram, the two sides that are likely to be parallel are AB and CD
If these two sides have same gradient/slope, then the quadrilateral is a trapezoid.
Now calculate the slopes of those sides using the slope formula;
m = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]
Calculate the slope of AB (where x₁ = 8, y₁ = 21, x₂ = 10, y₂ = 27)
m(AB) = [tex]\frac{27-21}{10-8}[/tex]
m(AB) = [tex]\frac{6}{2}[/tex]
m(AB) = 3
Calculate the slope of CD (where x₁ = 26, y₁ = 26, x₂ = 18, y₂ = 2)
m(CD) = [tex]\frac{2-26}{18-26}[/tex]
m(CD) = [tex]\frac{-24}{-8}[/tex]
m(CD) = 3
Since the two slopes - m(AB) and m(CD) slopes are equal to 3, the quadrilateral ABCD is a trapezoid.
help!! BRAINLIEST TOO!
the data shows the length and weight of a species of fish based on the data
which is closest to the length of a fish that weighs 4.2 pounds
Answer:
36.5 inches
Step-by-step explanation:
Given
See attachment for the given data
Required
Which length is closest to 4.2lb
The given data is a linear dataset.
So, we start by calculating the slope (m)
[tex]m =\frac{y_2 - y_1}{x_2 - x_1}[/tex]
Pick any two corresponding points from the table
So, we have:
[tex](x_1,y_1) = (8,1.21)[/tex]
[tex](x_2,y_2) = (12,1.63)[/tex]
So:
[tex]m =\frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m =\frac{1.63 - 1.21}{12 - 8}[/tex]
[tex]m =\frac{0.42}{4}[/tex]
[tex]m =0.105[/tex]
The linear equation is then calculated using:
[tex]y = m(x - x_1) + y_1[/tex]
This gives:
[tex]y = 0.105 * (x - 8) + 1.21[/tex]
Open bracket
[tex]y = 0.105x - 0.84 + 1.21[/tex]
[tex]y = 0.105x + 0.37[/tex]
To get the length closest to 4.2lb,
we set [tex]y = 4.2[/tex]
Then solve for x
So, we have:
[tex]y = 0.105x + 0.37[/tex]
[tex]4.2 = 0.105x + 0.37[/tex]
Collect like terms
[tex]0.105x= 4.2 - 0.37[/tex]
[tex]0.105x= 3.83[/tex]
Solve for x
[tex]x= 3.83/0.105[/tex]
[tex]x\approx 36.5[/tex]
A pet store has 11 puppies, including 3 poodles, 4 terriers, and 4
retrievers. If Rebecka selects one puppy at random, the pet store replaces the puppy with a puppy of the same breed, then Aaron chooses a puppy at random. Find the probability that they both select a poodle.
which triangle has angle measures of 40 , 50 , and 90?
Answer:
Definitely not the 2nd one. I think it is the first one, the 3rd one looks more like a 45, 45, 90