Answer:
[tex]y=\frac{1}{2} x+8[/tex]
Step-by-step explanation:
Hi there!
Slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)
1) Determine the slope (m)
Perpendicular lines will always have slopes that are negative reciprocals of each other. For example, two perpendicular lines might have slopes of 3 and -1/3.
After observing the equation y=-2x-5, we can conclude that the slope is -2. Therefore, a line perpendicular to this line would have a slope of 1/2. Plug this into [tex]y=mx+b[/tex]:
[tex]y=\frac{1}{2} x+b[/tex]
2) Determine the y-intercept (b)
[tex]y=\frac{1}{2} x+b[/tex]
Plug in the given point (-4,6)
[tex]6=\frac{1}{2}(-4)+b\\6=-2+b[/tex]
Add 2 to both sides
[tex]6+2=-2+b+2\\8=b[/tex]
Therefore, the y-intercept is 8. Plug this back into [tex]y=\frac{1}{2} x+b[/tex]:
[tex]y=\frac{1}{2} x+8[/tex]
I hope this helps!
Help me with this math function below!!
of the pie.
If a person has eaten 2 out of 4 equal pieces of pie, then they have eaten
A. 1/2
B. 1/4
C. 1/3
D. 2/3
Can someone pleaseeee help and if you’re correct i’ll give brainliest
Answer: D
Step-by-step explanation: please give me it!
Answer:
maybe the bottom right one?
Step-by-step explanation:
A rectangle has a base of 8 yards and a height of 12.1 yards. What is the area?
PLEASE HELP I WILL GIVE BRAINLIEST
Answer:
4x^2 B
-4x^2 A
1/4x^2 D
-1/4x^2 C
Step-by-step explanation:
1. Look at the concavity
up or down = negative or positive.
2. number before the x value
if N < 1, it will be wider. if N > 1, it will be thinner.
3. the two most right graphs would be -1/4x^2 and 1/4x^2
the one that is concave down is the - and the concave up is +
1
What is the solution to the equation 4
1 7 1
8 8*3*?
X=-5
X=-4
X=4
x=5
Answer:
im sorry
Step-by-step explanation:
i need points or else i fail
please help me please
A rectangle is placed around a semicircle as shown below. The length of the rectangle is 14 m . Find the area of the shaded region. Use the value 3.14 for , and do not round your answer. Be sure to include the correct unit in your answer.
Answer:
21.07 m²
Step-by-step explanation:
Please find the complete question in the attached image
Area of shaded region = area of rectangle - area of semicircle
Area of semicircle = [tex]\frac{1}{2}[/tex]πr²
π = 3.14
r = radius = 14/2 = 7m
the diameter of the semicircle is 14m , thus the radius would be half of the diameter
(1/2) x 3.14 x 7² = 76.93 m^
Area of a rectangle = length x width
width = radius of semicircle = 7
14 x 7 = 98 m²
Area of shaded region = 98 m² - 76.93 m^ = 21.07 m²
Analyze the diagram below and complete the instructions that
Find the value of x and the value of y.
A. x=15, y=10√3
B. x 20, y=10√3
C. x=20√3 y=5√3
D. x =15, y = 5√3
9514 1404 393
Answer:
D. x = 15; y = 5√3
Step-by-step explanation:
You don't need to know any trig to select the correct answer. You only need to know that the lengths of both sides must be less than the length of the hypotenuse. It is also helpful to know that √3 is about 1.732, so 10√3 ≈ 17.32.
Since x < 10√3, only answer choices A and D are viable.
Since y < 10√3, only answer choice D is viable.
_____
If you want to solve this using trig relations, you can recall that the sides of a 30°-60°-90° triangle have the ratios 1 : √3 : 2. This means short side y is half the length of the hypotenuse 10√3, so y = 5√3. It also means longer side x is √3 times y, so is x = (5√3)√3 = 5·3 = 15.
x = 15; y = 5√3
PLEASE HELP ME I BEG I WILL GIVE BRAINLIEST
Researchers fed mice a specific amount of Aldrin, a poisonous pesticide, and studied their nervous systems to find out why Aldrin causes convulsions. The absolute refractory period, time required for nerves to recover after a stimulus, was measured and varies Normally. The measurements, in milliseconds, for five mice were 2.1, 2.3, 2.3, 2.4, and 2.5.
Part A: Find the mean refractory period and the standard error of the mean. (2 points)
Part B: Calculate a 95% confidence interval for the mean absolute refractory period for all mice when subjected to the same treatment. (4 points)
Part C: Suppose the mean absolute refractory period for unpoisoned mice is known to be 2.1 milliseconds. Aldrin poisoning should slow nerve recovery and therefore increase this period. Do the data give good evidence to support this theory? What can you conclude from a hypothesis test? Justify your response with statistical reasoning. (4 points)
Answer:
Mean = (2.2 + 2.4 + 2.5 + 2.5 + 2.6 + 2.7)/6 = 2.48
Standard deviation = √(summation(x - mean)²/n
n = 6
Summation(x - mean)² = (2.2 - 2.48)^2 + (2.4 - 2.48)^2 + (2.5 - 2.48)^2 + (2.5 - 2.48)^2 + (2.6 - 2.48)^2 + (2.7 - 2.48)^2 = 0.1484
Standard deviation = √(0.1484/6
s = 0.16
Standard error = s/√n = 0.16/√6 = 0.065
Part B
Confidence interval is written as sample mean ± margin of error
Margin of error = z × s/√n
Since sample size is small and population standard deviation is unknown, z for 98% confidence level would be the t score from the student t distribution table. Degree of freedom = n - 1 = 6 - 1 = 5
Therefore, z = 3.365
Margin of error = 3.365 × 0.16/√6 = 0.22
Confidence interval is 2.48 ± 0.22
Part C
We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean
For the null hypothesis,
H0: µ = 2.3
For the alternative hypothesis,
H1: µ > 2.3
This is a right tailed test
Since the number of samples is small and no population standard deviation is given, the distribution is a student's t.
Since n = 6
Degrees of freedom, df = n - 1 = 6 - 1 = 5
t = (x - µ)/(s/√n)
Where
x = sample mean = 2.48
µ = population mean = 2.3
s = samples standard deviation = 0.16
t = (2.48 - 2.3)/(0.16/√6) = 2.76
We would determine the p value using the t test calculator. It becomes
p = 0.02
Assuming significance level, alpha = 0.05.
Since alpha, 0.05 > than the p value, 0.02, then we would reject the null hypothesis. Therefore, At a 5% level of significance, the sample data showed significant evidence that the mean absolute refractory period for all mice when subjected to the same treatment increased.
Step-by-step explanation:
NEED HELP ASAP PLEASE WILL GIVE BRAINLYEST
Answer:
A
Step-by-step explanation:
24/47
you have to added up 10 and 14
Someone please help I’ll give brainliest!!!!
Answer:
move the line up one
Step-by-step explanation:
A right rectangular prism has a base with an area of `25\ \frac{1}{2}`square feet and a volume of 153 cubic feet. What is the height, in feet, of the right rectangular prism?
Answer:
Height = 6 feet
Step-by-step explanation:
Given the following data;
Base area = 25½ ft²
Volume = 153 ft³
To find the height of the right rectangular prism;
Mathematically, the volume of a right rectangular prism is given by the formula;
Volume = base area * height
Substituting into the formula, we have;
153 = 25½ * height
153 = 51/2 * height
Cross-multiplying, we have;
306 = 51 * height
Height = 306/51
Height = 6 feet
Right rectangular prism is also called cuboid. The height of the right rectangular prism considered is evaluated as of 6 ft
How to find the volume of a right rectangular prism?Suppose that the right rectangular prism in consideration be having its dimensions as 'a' units, 'b' units, and 'c' units, then its volume is given as:
[tex]V = a\times b \times c \: \: unit^3[/tex]
For this case, we're provided that:
Base area of the right rectangular prism = [tex]25\dfrac{1}{2} = 25 + 0.5 = 25.5 \: \rm ft^2[/tex]Volume of the right rectangular prism = [tex]153\: \rm ft^3[/tex]Let the length and width of the prism be L ft and W ft
Let the heigth of the prism be H ft
Then, we get:
Area of base = [tex]L \times W = 25.5 \: \rm ft^2[/tex] (since base is a rectangle with length L and width W).Volume of prism = [tex]V = H \times L \times W = H \times 25.5 = 153 \: \rm ft^3[/tex]Thus, we get:
[tex]H \times 25.5= 153\\\\\text{Dividing both the sides by 25.5}\\\\H = \dfrac{153}{25.5} = 6 \: \rm ft[/tex]
Thus, the height of the right rectangular prism considered is evaluated as of 6 ft.
Learn more about volume of a right rectangular prism here:
https://brainly.com/question/21308574
Please help! If 2 answers I will mark one as the brainliest!!!
Answer: Last one I think
Step-by-step explanation:
simply 3x to the power of 2 of over 9x to the power of 5
Answer:
1/6561x³ or 6561x⁻³
Step-by-step explanation:
(3x)²/(9x)⁵
(3²)(x²)/(9⁵)(x⁵)
9x²/59049x⁵
9/59049x³
1/6561x³ or 6561x⁻³
Re-write the quadratic function below in Standard Form
y = 5(x - 5)(x - 4)
A type of fish for your aquarium costs $8 each. You can spend at most $48. How many of these fish can you buy? Write an inequality to model the problem. Then solve the inequality to find the number of fish.
Answer:
x ≤ 6
Step-by-step explanation:
Cost of fish = $8
You can spend at most $48
How many of these fish can you buy?
Let
x = number of fishes you can buy
The inequality is
8x ≤ 48
Divide both sides by 8
x ≤ 48/8
x ≤ 6
Tyler and Bethany have 240 feet of fencing with which to build a garden. Tyler wants the garden to be in the shape of a square, while Bethany wants it to be rectangular with a length of 50 feet and a width of 70 feet. Which design would give the maximum area for the garden? Explain.
Bethany’s design would give the larger garden because the area would be 3,500 ft2.
Tyler’s design would give the larger garden because the area would be 3,600 ft2.
Bethany’s and Tyler’s designs would give a garden with the same area.
Bethany’s and Tyler’s designs are not possible with the given amount of fencing.
Answer:
Step-by-step explanation:
Tyler's square is going to be 60 feet on each side. That is 3600 square feet.
Bethany can build a rectangle to her shape. It will be 240 feet of fencing. But it will give only 3500 square feet.
A is wrong. A square maximizes the area.
B is correct.
C The areas are not the same. C is wrong.
D is wrong. Both fence proposals work.
Answer:
B is correct
Explanation:
Tyler's square is going to be 60 feet on each side. That is 3600 square feet.
Bethany can build a rectangle to her shape. It will be 240 feet of fencing. But it will give only 3500 square feet.
Hope this helps! :)
At an annual teacher’s conference everyone is served tea with their dinner. Let H be the event that a randomly selected participant puts honey in their tea. Let S be the event that a randomly selected participant puts sugar in their tea. Suppose that afteryears of collecting data, the staff of this conference have estimated the following probabilities.P(H) = 0.14 P(S) = 0.65 P(H or S) = 0.73Estimate P(H and S) and interpret this value in the context of the problem.A.P(H and S) = 0.06, The probability that a randomly selected participant puts sugar and honey in their tea is 0.06.B.P(H and S) = 0.06, The probability that a randomly selected participant puts sugar or honey in their tea is 0.06.C.P(H and S) = 0.79, The probability that a randomly selected participant puts sugar and honey in their tea is 0.79.D.P(H and S) = 0.79, The probability that a randomly selected participant puts sugar or honey in their tea is 0.79
Answer:
im looking for the same one :(
Step-by-step explanation:
Pls help me I have 5 min to do this!!!! PLS PLS PLS PLS PLS NO LINKS!!!! I can’t open them just pls give me the answer idc how you got it LOL. Pls help like real people help :(
Answer:
P(-8,6), Q(-5,2), R(2,1)
I NEED HELP PLS I WILL MARK BRAINLIEST
Answer:
[tex]\approx 11.2\:\mathrm{in}[/tex]
Step-by-step explanation:
The swing of the tip of pendulum is creating an arc. The question is actually asking for the length of this arc. The length of an arc is given by [tex]2r\pi\cdot \frac{\theta}{360}[/tex], where [tex]r[/tex] is the radius of the circle and [tex]\theta[/tex] is the angle of the arc.
In this problem, we're given:
[tex]\theta = 40^{\circ},\\r=16[/tex]
Substituting given values, we get:
[tex]2\cdot 16\cdot \pi \cdot \frac{40}{360}=32\pi\cdot \frac{1}{9}\approx \boxed{11.2\:\mathrm{in}}[/tex]
Six people share 3/8 pound of peanuts equally. What fraction of a pound of peanuts does each person receive? Enter your answer in simplest form.
answer=1/4
explanation ; 6divided by 3/8=0.25 which is equal to 25/100 or 25 divides 25 once and divides 100 4 times giving 1/4
Please help:)
this worth 100 POINTS!!
Answer:
I think the second answer
Step-by-step explanation:
I'm late but it's the second answer!
If there are 4 outcomes, what is the
probability that I get tails then tails?
Answer:
50%
Step-by-step explanation:
because it is a two side coin
SOMEONE PLEASE HELP !!
Answer:
you would have to add them together
Step-by-step explanation:
you add 9pi cm^2 to 1/4
hop this helps kid
Answer:
The radius is 199.85 cm^3
HELLP PLZ ZZZZZZ FOR MY HOMEWORK......
Answer:
4 books
Step-by-step explanation:
$3.80 divided by 95cents = 4
Diogo and his 4 friends want to share the cost of a meal equally. They order
Menu
3 large pizzas and 5 small drinks. If they leave a tip of $7.50, how much does Small pizza $6.00
each person pay?
Large pizza $10.00
Small drink $1.50
Large drink
$3.00
Each person pays $
(Round to the nearest cont as needed.)
Answer:
45 rand
Step-by-step explanation:
3 large pizzas is 10 ×3=R30
5 small drinks is 1.50×5=R7.50
tip of R7.50
add all
30+7.50+7.50
=45
what is the surface area of the rectangular pyramid below? surface area of pyramids
Answer:
the answer is 82.8
Step-by-step explanation:
8 x 9/3= x 1/3
What number makes the equation true?
Answer:
72
Step-by-step explanation:
3×(8×9/3=X1/3) then 8×9=X, then X=72
for brainiest:):):):):):):):)