Answer:
X²=(24)²+(7)²
x²=576+49
x²=625
×=25
Answer:
25
Step-by-step explanation:
Use the Pythagorean Theorem: a²+b²=c²
a=24
b=7
c=x
Plug in the numbers
(24)²+(7)²=x²
Square 24 and 7
576+49=x²
Add 576 and 49
625=x²
Take the square root on both sides
x=√625
Simplify
x=25
(x + 10) = (2x - 30).
Answer:
x = 40
Step-by-step explanation:
x + 10 = 2x - 30
40 = x
40 + 10 = 2(40) - 30
50 = 50
Overnight, a pipe cracked and started to leak into a basement. The graph shows the depth of the water in relation to time.
How many inches does the water rise each hour?
___ inches.
How deep is the water after four hours? The water is
__ inches deep.
How long will it take for the water to reach a depth of 80 inches? It will take
__ hours.
Answer:
the water will rise 10 in each hour after 4 hours the water will be 40 in deep and it will take 8 hours for the water to reach a depth of 80 in
The water rises 10 inches each hour. The water is 4 inches deep is the water after four hours. It will take 8 hours for the water to reach a depth of 80 inches.
What is a graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
A pipe cracked overnight and started to leak into a basement.
The graph represents the depth (d) of the water over time (t).
As per the given graph, the required solution would be as:
Take two points (1, 10) and (5, 50) in the given graph
The linear function will be :
d - 10 = (50-10)/(5-1)(t - 1)
d - 10 = (40/4)(t - 1)
d = 10(t - 1) + 10
d = 10t - 10 + 10
d = 10t
Here slope of the given function is 10, which means 10 inches the water rise each hour.
The value of time (t) = 4 hr corresponds to the depth of water (d) is
d = 10(4) = 40
So, the water is 40 inches deep is the water after four hours
The value of depth of water (d) = 80 in corresponds to the time (t) is
80 = 10t
t = 80/10 = 8
So, It will take 8 hours for the water to reach a depth of 80 inches
Learn more about the graphs here:
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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:
.......................
Answer:
.......................
Step-by-step explanation:
A rectangle has a base of 8 yards and a height of 12.1 yards. What is the area?
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
De cuántas maneras se pueden dar primer y segundo premio entre 10 personas?
Which statement best describes this graph?
Answer: The answer to this problem is the second choice “As the x-value increases by 1, the y-value decreases by 1/2, the x-intercept is -2.
Have a nice day!
someone help with this?
(SOMEONE HELP ME PLEASE, AND NO LINKS)
What number is represented by point P on the number line?
Only 0, 1, 2, 3, , 4, 5, 6, 7, 8, 9, ., -, and / are allowed in your answer. Answers that are mixed numbers must be entered as an improper fraction or decimal.
Answer:
7 I think
Hope's ti helps
15. Which of the following does represent the lengths
of the side of a right triangle?
Answer:
a. five, twelve, thirteen
Please help I can’t figure this out
Answer:
0.2222222222222222...
Step-by-step explanation: if not im sorry
Answer:
2.08008
so its = 2.1
i think
I need Answer Immediately!!!!!!!
Answer:
Step-by-step explanation:
slope intercept form
y=mx+c
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
Please help! If 2 answers I will mark one as the brainliest!!!
Answer: Last one I think
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)
Jane is opening a savings account with an initial deposit of $100. The bank offers a 5%
rate compounded annually. What is the value of the savings account after 1 year?
Answer:
105 dollars after a year
Step-by-step explanation:
I = (100)(0.05)(1)
I = 5
given 45, 39, 33, 27 ... find a12
Step-by-step explanation:
a12 = 45 + (12-1)(-6)
= 45-66= -21
Step-by-step explanation:
yes, the other answer is correct.
just to explain a little bit more :
the sequence is clearly built by subtracting 6 from one element to the next.
in other words :
a1 = 45
a n = a n-1 - 6
in such a sequence you do the same operation/ calculation over and over again - once per new element.
the operation in this example is simple - as mentioned : subtract 6.
a1 just gives us a starting value (no operation done for for it) zu, the operation is done one time less than the running number of the element.
therefore, the general element generation algorithm/ formula is :
a n = a1 - (n-1)*6
where dose this go on the number line
Answer:
3.14
Step-by-step explanation:
[tex]\pi[/tex] or commonly known as Pi is equal to 3.14 so it will fit in between 3 and 4 but closer to 3.
4x - 7y = 2
X = -y - 5
Systems of equations using substitution
Which value is closest to the perimeter of the window
Answer:
9.82 feet
Step-by-step explanation:
the perimeter of the window is the circumference of a semi-circle with a diameter of 5
P = (πd)/2 (divided in half because it's only half a circle)
P ≈ 3.14(3.5) which is approx 11
11 is closest to 9.82
Answer:
9.82 Is the Closest
Step-by-step explanation:
First of all, you can see its a half circle, meaning if we make it a full circle, the length of the center is 5, so the full circle's area is about 19.5-20. Now to find the area of the half circle/windows we get 9.75 - 10. The only number between that is 9.82, which should be you answer.
Have a nice day!
If this answer helped you, please give Brainliest.
Write an equation in slope-intercept form of the line that passes through (-1, 4) and (0, 2).
y =
Answer:
[tex]y=-2x+2[/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
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] where the two given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
Plug in the given points (-1, 4) and (0, 2)
[tex]=\frac{2-4}{0-(-1)}\\=\frac{-2}{0+1}\\=\frac{-2}{1}\\= -2[/tex]
Therefore, the slope of the line is -2. Plug this into [tex]y=mx+b[/tex]:
[tex]y=-2x+b[/tex]
2) Determine the y-intercept
[tex]y=-2x+b[/tex]
Recall that the y-intercept is the value of y when the line crosses the y-axis, meaning that the y-intercept occurs when x is equal to 0.
One of the given points is (0,2). Notice how y=2 when x=0. Therefore, the y-intercept of the line is 2.
Plug this back into the equation:
[tex]y=-2x+2[/tex]
I hope this helps!
plz help I will mark brainliest :)
Answer:
6,008.3
Step-by-step explanation:
[tex]V=\pi r^{2} h\\V=\pi 7.5^{2} 34[/tex]
Answer:
2nd one is the nearest tenth
Step-by-step explanation:
V=πr²h
Solving it
V=22/7×7.5×7.5×34
V=6010.714286 cm ³
Explain how a piece of food when eaten is digested and absorbed by the human body
PLS HURRY I NEED IT!!<3
Answer:
The muscles of the small intestine mix food with digestive juices from the pancreas, liver, and intestine, and push the mixture forward for further digestion. The walls of the small intestine absorb water and the digested nutrients into your bloodstream.
Answer & Explanation:
When humans chew food, it is chemically and physically broken down into smaller molecules. Your teeth physically crush the food and enzymes in your saliva break down the food into smaller pieces. Then your food goes through your esophagus and begins the digestion process. When the food reaches the stomach, the stomach walls pound the food to make it into smaller chunks of food. Hormones secreted in the stomach walls release acids and enzyme juices that chemically dissolve the food into even smaller pieces. The liver, pancreas, and gallbladder are major parts of the digestive process as well. They produce digestive juices and transfer bile to prepare for the next stage. After the food has been in the stomach for three hours, the food is now a liquid called chyme and is ready to move into the small intestine! The liver sends the bile to the gallbladder that secretes it into the duodenum. Then it dissolves the fats in the chyme so they can be digested by the juices from the pancreas and intestines. The enzyme juices break down the fat molecules in the chyme into fatty acids. The enzymes carry out the final deconstruction of proteins into amino acids. This happens in the small intestine lower region that is coated with villi. The villi maximizes molecule absorption and transfers it into the bloodstream. The blood then feeds it to the body’s organs and tissues.
That is whole process of digestion. Hope this helps! :3
Help me plz and show work
Answer:
substitute the value of y into the equation 7x+3y = 35
7x + 3(x+5) = 35 (distribute 3 through the parenthesis)
7x + 3x + 15 = 35
collect the like terms
7x + 3x = 35 - 15
10x = 20 (divide both sides by 10)
x = 2
substitute x = 2 into the equation y = x + 5
y = 2 + 5
y = 7
(2x-1) (3x+5) -(2x-1) (x+4)
Answer:
4x^2−1
Step-by-step explanation:
Need HELP ASAP NO LINKS!
Based on this information, which of the following statements is true?
O
A. The data is best modeled with a linear function.
B. The cost per widget will never be greater than $25.
c. The data is best modeled with a quadratic function.
D. The manufacturer should produce as many widgets as possible to minimize
cost.
Answer:
The cost per widget will never be greater than $25
Can someone please help me for this question
Answer:
7x
Step-by-step explanation:
help me please thanks
The sum angle of triangle is 180°
The angle of line is 180°
The right angle is 90°
x=180-115
x=65°
y=180-65-90
y=90-65
y=25
somebody help me pls it would make my day good!!!
36% I think.... Because there's 100 ppl and 36 of them like cats