Answer:
√10
Step-by-step explanation:
There are a couple of ways you can go at this.
\(\dfrac{\sqrt{-40}}{\sqrt{-4}}=\sqrt{\dfrac{-40}{-4}}=\boxed{\sqrt{10}}\)
or ...
\(\dfrac{\sqrt{-40}}{\sqrt{-4}}=\dfrac{2\sqrt{10}\,i}{2\,i}=\boxed{\sqrt{10}}\)
A fence with 2 gates in it surrounds a lion enclosure.
Each gate is 4 m wide.
an image
What is the length of the fence around the enclosure not including the gates?
The length of the fence around the enclosure not including the gates is:2l + 2w + 8 m
To find the length of the fence around the enclosure, we need to first find the perimeter of the rectangle and then subtract the combined length of the two gates from it.
Let's assume the length of the rectangle is 'l' and the width is 'w'.
From the given data, we know that each gate is 4 m wide.
Therefore, the width of the rectangle is:
Width = w + (4 m + 4 m) = w + 8 m
The perimeter of the rectangle is:
P = 2l + 2(w + 8 m) = 2l + 2w + 16 m
Now, we need to subtract the combined length of the two gates from the perimeter:
P - 2 × 4 m = 2l + 2w + 16 m - 8 m = 2l + 2w + 8 m
So, the length of the fence around the enclosure not including the gates is:2l + 2w + 8 m
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Find the equation of the line shown.
Answer:
y=x+1
Step-by-step explanation:
y=mx+b
y=mx+1
2/2=1
y=1x+1
y=x+1
please helppppppppppp...... 17 points
Answer:
x = 24.5
Step-by-step explanation:
the angles form a straight line, and a straight line equals to 180°
=> (5x + 8) + (3x - 24) = 180
=> 8x = 196
=> x = 24.5
A house was valued at $299,000 . Over several years, the value decreased by, 9% giving the house a new value.
(a) Fill in the blank to write the new value in terms of the old value.
Write your answer as a decimal.
(b) Use your answer in part (a) to determine the new value.
A) - The NEW VALUE in terms of the old value is 0.91 times the old value.
B) - The NEW VALUE of the HOUSE is: 299,000 * 0.91 = $272,090
Step-by-step explanation:Make A Plan:
A) - Calculate the Percentage of the Value Remaining After the Decrease
B) - Calculate the NEW VALUE of the house
SOLVE THE PROBLEM:
A) - The PERCENTAGE of the VALUE REMAINING AFTER the DECREASE
100% - 9% = 91%
As A DECIMAL:0.91
B) - Calculate the NEW VALUE of the house:
NEW VALUE = OLD VALUE * REMAINING PERCENTAGE
NEW VALUE = 299,000 * 0.91
Draw the conclusion:
A) - The NEW VALUE in terms of the old value is 0.91 times the old value.
B) - The NEW VALUE of the HOUSE is: 299,000 * 0.91 = $272,090
I hope it helps!
Write the value of the money in dollars Brainliest Awnser gets 7 points for greatness
Answer:
The picture isn't very clear but I think this is the answer.
1. 15 cents
2. $1.31
3. 30 cents
Step-by-step explanation:
1. 10+5
2. 50+50+10+10+10+1
3. 25+5
Heavy bread? The mean weight of loaves of bread produced at the bakery where you work is supposed to be pound. You are the supervisor of quality control at the bakery, and you are concerned that new employees are producing loaves that are too light. Suppose you weigh an SRS of bread loaves and find that the mean weight is pound.
a. State appropriate hypotheses for performing a significance test. Be sure to define the parameter of interest.
b. Explain why there is some evidence for the alternative hypothesis.
c. The P-value for the test in part (a) is . Interpret the P-value.
d. What conclusion would you make at the significance level?
a) The parameter of interest is the mean weight of loaves of bread produced at the bakery. b) The evidence is the sample mean weight of the bread loaves is less than 1 pound. c) If the P-value is less than or equal to the significance level, we would reject the null hypothesis
What is the P-value?
The P-value means the probability, for a given statistical model that, when the null hypothesis is true, the statistical summary would be equal to or more extreme than the actual observed results.
a. The parameter of interest is the mean weight of loaves of bread produced at the bakery.
The null hypothesis is that the mean weight is equal to 1 pound, and the alternative hypothesis is that the mean weight is less than 1 pound. We can express these hypotheses as follows:
H0: μ = 1
Ha: μ < 1
b. There is some evidence for the alternative hypothesis because the sample mean weight of the bread loaves is less than 1 pound.
If the null hypothesis were true (i.e., the true mean weight is 1 pound), we would expect the sample mean to be close to 1 pound.
The fact that it is less than 1 pound suggests that the new employees may be producing loaves that are too light.
c. The P-value for the test in part (a) is not given, so we cannot interpret it. However, if the P-value were given and it was less than the significance level (e.g., 0.05), we would interpret it as the probability of observing a sample mean at least as extreme as the one we obtained, assuming that the null hypothesis is true.
d. To make a conclusion at the significance level (e.g., 0.05), we would compare the P-value (if given) to the significance level.
If the P-value is less than or equal to the significance level, we would reject the null hypothesis and conclude that there is sufficient evidence to suggest that the true mean weight of the bread loaves is less than 1 pound.
If the P-value is greater than the significance level, we would fail to reject the null hypothesis and conclude that we do not have enough evidence to suggest that the true mean weight is less than 1 pound.
Hence, a) The parameter of interest is the mean weight of loaves of bread produced at the bakery. b) The evidence is the sample mean weight of the bread loaves is less than 1 pound. c) If the P-value is less than or equal to the significance level, we would reject the null hypothesis.
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Subtract.
3/4 - 6/12
Answer:1/4
hope this helps
Step-by-step explanation:We can't subtract two fractions with different denominators. So you need to get a common denominator. To do this, you'll multiply the denominators times each other... but the numerators have to change, too. They get multiplied by the other term's denominator.
So we multiply 3 by 12, and get 36.
Then we multiply 6 by 4, and get 24.
Next we give both terms new denominators -- 4 × 12 = 48.
So now our fractions look like this:
36/48 − 24/48
Step 2
Since our denominators match, we can subtract the numerators.
36 − 24 = 12
So the answer is:12/48
Step 3
Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?
To find out, we try dividing it by 2
Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:
12/48÷ 2 =6/24
Let's try dividing by 2 again
Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:
6/24÷ 2 =3/12
Let's try dividing by 2 again...
Nope! So now we try the next greatest prime number, 3...
Are both the numerator and the denominator evenly divisible by 3? Yes! So we reduce it:3/12÷ 3 =1/4
Let's try dividing by 3 again
No good. 3 is larger than 1. So we're done reducing.
There you have it! The final answer is:
3/4−6/12=1/4
Josiah is 1.35 meters tall. At 1 p.m., he measures the length of a tree's shadow to be 18.25 meters. He stands 13.4 meters away from the tree, so that the tip of his shadow meets the tip of the tree's shadow. Find the height of the tree to the nearest hundredth of a meter.
The height of tree's shadow is 18.25 meters, then the height of tree will be equal to 1.83 meters.
What is arithmetic Operations?The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.
Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.
As per the data provided in the question,
Height of Josiah = 1.35 meters
Length of Josiah's shadow = 13.4 meters
Length of tree's shadow = 18.25 meters.
Assume the height of the tree is x meters.
So, the ratio is,
1.35 = 13.4
x = 18.25
Use cross-multiplication method,
13.4x = 24.63
x = 24.63/13.4
x = 1.83 meters.
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A game card handed out at a grocery store states the probabilities of winning a prize: 0.2 for $10, 0.1 for $5, and 0.7 for $0. What is the probability of winning any amount of money?
Answer:
Step-by-step explanation:
To calculate the probability of winning any amount of money, we need to sum up the probabilities of winning each individual prize.
Given the probabilities stated on the game card:
Probability of winning $10 prize = 0.2
Probability of winning $5 prize = 0.1
Probability of winning $0 prize = 0.7
To find the probability of winning any amount of money, we add these probabilities together:
0.2 + 0.1 + 0.7 = 1
The sum of the probabilities is 1, which indicates that the total probability of winning any amount of money is 1 or 100%.
Therefore, the probability of winning any amount of money in this game is 100%.
Hope this answer your question
Please rate the answer and
mark me ask Brainliest it helps a lot
Help thank you………………
Answer:
it is too easy I will answer it soon.
a store buys 8 sweaters for $64 and sells them for $272, how much profit does the store make per sweater
Answer:
34
Step-by-step explanation:
dividing 8÷272=34
man how am I supposed to make a step by step explanation for this
Which statement is not one of the axioms of Euclidean geometry?
A. If two points lie in space, there is only one line that can pass through them.
B. If three points lie on the same line, there is only one plane that can pass through them.
C. If two points lie on a plane, the line containing them also lies on the plane.
D. If two planes intersect, their intersection is a line.
Answer:
B. if three points lie on the same line there is only one plane that can pass through them.
Step-by-step explanation:
Please help will mark Brainly
Answer:
f(x) = - 2x + 4
Step-by-step explanation:
Since we are only trying to move the graph up 3 units, the slope does not change. So, it would be -2.
We also know that the 1 in f(x)= -2x + 1 is the y-intercept (y=mx+b). But again, we are moving the graph 3 units up, so we have to add 3. That makes it 4 (3+1=4).
So, the new equation would be f(x) = -2x + 4
Step-by-step explanation:
it simply means that g(x) is f(x) just shifted 3 units upwards.
that means nothing else changes, only whatever y result f(x) produces is increased by 3.
so,
g(x) = f(x) + 3 = -2x + 1 + 3 = -2x + 4
therefore, as domain and range were the whole set of real numbers, the addition of 3 does not make any difference in relation to infinity. so, they remain unchanged.
the slope stays the same (g(x) is simply a parallel line to f(x)).
the y-intercept (the y-value when x = 0) also increases by 3, and is 4.
the x-intercept (the x-value when y = 0) changes :
0 = -2x + 4
2x = 4
x = 2
the x-intercept is 2.
A gamer is observing her acore, y, as she plays a video game. She currently has 4,200 points and is gaining 250 points for every minute, x, she plays.
Which of the following equations can be used to describe this linear relationship
A. y = 250x - 4,200
B. y = 250x + 4,200
C. y = 4,200x - 250
D. y = 4,200x + 250
explain this question and i will give those crown thingy
2 pages
Answer:
1.) -4
2.) 3/5 and 6/10 are both equal to 0.6
Step-by-step explanation:
1.) 16(1/4 - 1/2)
For this one you can either distribute the 16 and solve or just subtract the fractions and solve. I like the first method personally:
16/4 - 16/8
4 - 8
-4
2.) Fractions can be looked at as dividing the top (numerator) by the bottom (denominator). If we put each of the answer choices into our calculator and divide, we get 3/5 and 6/10. Note that 2/3 = 0.66, but that is not the same as 0.6.
Felix calcutaed the area of a triangle with a base of 3 inches and a height of 1.5 inches Edith calculated the area of aa trapezoid with a height of 2 inches and parallel beaded of 4 inches and 6 inches their work is shown below what error did they both make in this work
Answer:
C), they didn't multiply by one half
Step-by-step explanation:
just did it on edge
Answer:
The answer is C
Step-by-step explanation:
I need help with this problem
20.25 square units are enclosed between the two curves.
How to find area?To find the area enclosed between the two curves, find their intersection points first.
Setting the equations equal to each other:
8x² - x³ + x = x² + 13x
Simplifying and rearranging:
x³ - 7x² - 12x = 0
Factoring out x:
x(x² - 7x - 12) = 0
Solving for x using the quadratic formula:
x = 0, x = 3, x = -4
The two curves intersect at x = 0, x = 3, and x = -4.
Next, determine which curve is on top of the other between these intersection points. We can do this by comparing their y-values for each x:
At x = -4, y = 128
At x = 0, y = 0
At x = 3, y = 27
So, the curve y = 8x² - x³ + x is on top of y = x² + 13x for x in the range -4 ≤ x ≤ 0, and y = x² + 13x is on top of y = 8x² - x³ + x for x in the range 0 ≤ x ≤ 3.
Now find the area between the curves using integration:
∫[from -4 to 0] [(8x² - x³ + x) - (x² + 13x)] dx + ∫[from 0 to 3] [(x² + 13x) - (8x² - x³ + x)] dx
Simplifying:
∫[from -4 to 0] (-x³ + 7x² - 12x) dx + ∫[from 0 to 3] (x³ - 7x² + 12x) dx
Integrating:
[-(1/4)x⁴ + (7/3)x³ - 6x²] from -4 to 0 + [(1/4)x⁴ - (7/3)x³ + 6x²] from 0 to 3
Simplifying:
(64/3) + (81/4) - (27/3) - (64/3) = 20.25
Therefore, the area enclosed between the two curves is 20.25 square units.
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Image transcribed:
(1 point) Find the area of the region that is enclosed between y = 8x² - x³ + x and y = x² + 13x.
The area is
find 3 numbers in GP whose sum is 28 and product is 512
Answer:
4,8 and 16Let the three numbers be a,ar, ar^2 ,
where r is the common ratio.
⇒a+ar+ar^2 =28 and a^3 r^3 =512
⇒ar=8⇒a+ar^2 =20
⇒8r^2 −20r+8=0
⇒r=2,r= 1/2
If r=2,a=4
Therefore, the three numbers are 4,8,16.
Step-by-step explanation:
Hope it is helpful.....
A tin is a right circular cylinder with a diameter of 4 meters and a height of 6 meters. What is the surface area of this tin, in terms of pi?
Answer:
32 pi m^2
Step-by-step explanation:
The surface area of a cylinder is given by
SA = 2pi r^2 + 2 pi rh
The diameter is 4 meters so the radius is 1/2 of the diameter = d/2 = 2 meters
SA = 2 * pi * (2)^2 + 2 pi *2*6
= 8pi +24pi
= 32 pi m^2
100 pts!!
Thanh rents a car. He has a fixed rate of $49.00 weekly, pays $14.00 per week for the optional insurance, and he spends $12.00 weekly on gas. What will Thanh's cost be per month (four weeks)?
Thanh's cost per month (four weeks) will be $300.00.The given fixed rate for Thanh is $49.00 per week. Thanh also pays $14.00 per week for the optional insurance and $12.00 weekly on gas.
To find Thanh's cost per month (four weeks), we need to multiply his weekly cost by 4.We can use the formula below to calculate Thanh's monthly cost.
Total weekly cost = Fixed rate + Insurance cost + Gas cost
Total weekly cost = $49.00 + $14.00 + $12.00
Total weekly cost = $75.00
The cost for Thanh per month (four weeks) = Total weekly cost × 4
Cost for Thanh per month (four weeks) = $75.00 × 4
Cost for Thanh per month (four weeks) = $300.00
Therefore, Thanh's cost per month (four weeks) will be $300.00.
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Which is a function and what is not a function?
A laptop costs $850 and a carrying case costs $45. If the sales tax is 7%, what is the total purchase price for
these items? Round to the nearest cent (hundredth).
help plsss
rotate tuv 90 degrees clockwise around the origin
Answer: T'=(-1,-1), U'=(-3,-1), V'=(-1,-4)
Step-by-step explanation:
Water is pumped out of the conical tank with vertex down and radius 8 ft and height 20 ft. If the volume is decreasing at a rate of 4 ft^3sec :
how fast is the depth of the water decreasing when the water is 9 ft deep? (Note: Don't approximate the answer and state its exact value in terms of π.)
It took approximately 151 seconds to decrease 9 ft water in conical tank.
The volume of a conical tank with vertex down and radius 8 ft and height 20 ft is V = (1/3)πr²h
When the water is 9 ft deep
= (1/3) ×3.14×(8)²×(9)
= 602.88 ft³
We know that the rate of change of volume is 4 ft³/sec. So, the rate of change of depth can be calculated as follows:
Rate of change of depth (dh/dt) = Volume of tank/4 ft³ per sec
= 602.88/4
= 150.72 sec
Therefore, it took approximately 151 seconds to decrease 9 ft water in conical tank.
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Calculate the total interest paid on a 25-year home loan of $330,000 at an APR of 6.375%. $ Number Round your answer to 2 decimal places.
Answer:
$284,586.00
Step-by-step explanation:
To calculate the total interest paid on a home loan, we need to use the formula for calculating the monthly payment and then multiply it by the number of months in the loan term. The formula for calculating the monthly payment is:
M = P * r * (1 + r)^n / ((1 + r)^n - 1)
Where:
M = Monthly payment
P = Loan principal (amount borrowed)
r = Monthly interest rate (APR divided by 12 and converted to decimal)
n = Total number of payments (number of years multiplied by 12)
Let's calculate the monthly payment first:
Loan principal: P = $330,000
Annual interest rate: 6.375%
Monthly interest rate: r = 6.375% / 12 / 100 = 0.0053125
Loan term: 25 years
Total number of payments: n = 25 * 12 = 300
Now, we can calculate the monthly payment:
M = 330,000 * 0.0053125 * (1 + 0.0053125)^300 / ((1 + 0.0053125)^300 - 1)
Using a calculator or spreadsheet, this monthly payment comes out to be approximately $2,048.62.
To calculate the total interest paid, we can subtract the principal amount from the total amount paid over the loan term. The total amount paid can be calculated by multiplying the monthly payment by the total number of payments.
Total amount paid = Monthly payment * Total number of payments
Total amount paid = $2,048.62 * 300
Using a calculator or spreadsheet, the total amount paid comes out to be $614,586.00.
Now, we can calculate the total interest paid:
Total interest paid = Total amount paid - Loan principal
Total interest paid = $614,586.00 - $330,000
Using a calculator or spreadsheet, the total interest paid comes out to be $284,586.00.
Therefore, the total interest paid on the 25-year home loan of $330,000 at an APR of 6.375% is $284,586.00.
in your brains you want a ___ between excitary and inhibitroy signals
In brains, we want a balance between excitatory and inhibitory signals to maintain proper neural functioning.
Since, We know that;
In brains, we want a balance between excitatory and inhibitory signals to maintain proper neural functioning.
This balance is important because too much excitatory signaling can cause overstimulation and potential harm, while too much inhibitory signaling can lead to neural suppression and lack of responsiveness.
Hence, The proper balance between the two types of signals is necessary for healthy neuronal activity, and maintaining that balance is a key aspect of neural health.
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An exercise machine with an original selling price of $1,275 is marked down by 20%. What is the sale
price of the exercise machine?
The human body has a normal temperature of 98.6°F. Doctors will get worried if a sick patient has a temperature that varies from the normal by more than 3°F. Create an absolute value inequality and solve it to determine what body temperatures would be considered unhealthy.
Answer:
\( |T- 98.6| \geq 3\)
And in order to solve this we have two possibilities:
Solution 1
\( T -98.6 \leq -3\)
And solving for T we got:
\( T \leq 98.6- 3\)
\( T\leq 95.6\)
Solution 2
And the other options would be:
\( T -98.6 \geq 3\)
\( T \geq 101.6\)
Step-by-step explanation:
For this case we can define the variable os interest T as the real temperature and we know that if we are 3 F more than the value of 98.6 we will be unhealthy so we can set up the following equation:
\( |T- 98.6| \geq 3\)
And in order to solve this we have two possibilities:
Solution 1
\( T -98.6 \leq -3\)
And solving for T we got:
\( T \leq 98.6- 3\)
\( T\leq 95.6\)
Solution 2
And the other options would be:
\( T -98.6 \geq 3\)
\( T \geq 101.6\)
solve the following: a. 1/14 - 3 1/8 b. -7/2x^2y^2. + 5/2xy^2 + 3/x^2yc. -2 1/3 + 1 1/9
First we analyze the denominators
2x^2y^2 is the greatest common factor for all three fractions, now we just divide each denominator with that factor and then multiply the answer by numerators
Then, the new fraction will be:
e)
The vertices of figure PQRS are translated to form figure P'Q'R'S'. Select all the statements that describe the two figures. Q S R P' S' Q' 'R
the anawer choices are : A. P Q R S is the preimage of PQRS, B. the two figures are congruent, C. the two figures are in different positions , but have the same orientation, D. the two figures are in different positions and have oppsoite orientation , E. corresponding angles and sides of the figures have the same measures.
The true statements are:
(B) Both figures are congurent.
(C) The two figures have the same orientation but different positions.
(E) Corresponding angles and sides have the same measures.
What is orientation?In geometry, how an item is positioned in the space it occupies—such as a line, plane, or rigid body—is described in terms of its orientation, angular position, attitude, bearing, and direction.
It refers more particularly to the fictitious rotation required to shift an object from a reference placement to its present location.
To get to the current positioning, a rotation might not be sufficient.
It could be required to include a fictitious translation known as the object's location (or position, or linear position).
Together, the position and orientation completely explain where the object is situated in space.
Therefore, the true statements are:
(B) Both figures are congurent.
(C) The two figures have the same orientation but different positions.
(E) Corresponding angles and sides have the same measures.
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