Answer:
4/100
Step-by-step explanation:
Dana measured the floor of her storage unit, which is rectangular. It is 3 meters wide and 5 meters from one corner to the opposite corner. How long is the storage unit?
After using Pythagorean theorem the rectangular floor is 4m long.
What is Pythagorean theorem ?
A right angled triangle's missing length can be discovered using Pythagoras' Theorem.
The triangle has three sides: the adjacent, which doesn't touch the hypotenuse, the opposite, which is always the longest, and the hypotenuse (which is between the opposite and the hypotenuse).
Here in the given rectangular floor,
Width = 3m and Altitude which is hypotenuse = 5 m.
Now using Pythagorean theorem,
=> \(length^2+width^2=hypotenuse^2\)
=> \(length^2+3^2=5^2\)
=> \(length^2=5^2-3^2\)
=> \(length^2=25-9=16=4^2\)
=> length = 4m
Hence the rectangular storage unit is 4m long.
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NEED IT FAST PLZ
Look at the two equations: ( look at picture is you don't understand)
-3x + 6 = 21
-3x + 6 < 21
Which statement best describes the process used to solve the equations?
A.) In both cases, subtract 6 from both sides, but reverse the inequality sign when doing that for the inequality.
B.) In both cases, divide by -3 on both sides, but reverse the inequality sign when doing that for the inequality.
C.) The process is exactly the same for solving the equation and solving the inequality.
D.)The process for solving the equation is entirely different from solving the inequality.
Answer:
I believe it's A) "In both cases, subtract 6 from both sides, but reverse the inequality sign when doing that for the inequality."
Step-by-step explanation:
I say this because that's essentially the first step when solving both an equation and inequality.
(In case you were wondering, the next step would be to divide -3 on both sides, in order to get x by its self.)
Hope this helps :)
70 POINTSS)NEED FAST ANSWERS)
A square with a side length of 42 meters was created from a square with a side length of 3.5 meters using a scale factor. What is the scale factor?
12:1
24:1
144:1
147:1
Answer:
multiply all of them then add all of them then divide by the lowest number
12:1 is the scale factor
3.5 ÷ 3.5 = 1 and 142 ÷ 3.5 =123.5 so 42:123.5 ratio simplified is 12:1
Looking at the question, to find the scale factor we are going to divide 42 by 3.5 which is 12. To check our work we will do 1 times 3.5 which is 42.
Why is it not 147:1? Well, scale factoring means that in two similar geometric figures, the scale factor is the ratio of their corresponding sides, dividing the two corresponding lengths of the sides will gives the ratio
To check go to:
https://www.ginifab.com/feeds/cm_to_inch/scale_factor_calculator.html
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Please remember to revise this and make it in your own words if you want! I hope this helps you. -Doodle
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The effectiveness of a blood-pressure drug is being investigated. An experimenter finds that, on average, the reduction in systolic blood pressure is 23.5 for a sample of size 775 and standard deviation 12.2. Estimate how much the drug will lower a typical patient's systolic blood pressure (using a 95% confidence level). Enter your answer as a tri-linear inequality accurate to one decimal place (because the sample statistics are reported accurate to one decimal place).
The 95% confidence interval for the effectiveness of the blood-pressure drug is given as follows:
\(22.6 < \mu < 24.4\)
How to obtain the confidence interval?The mean, the standard deviation and the sample size for this problem, which are the three parameters, are given as follows:
\(\overline{x} = 23.5, \sigma = 12.2, n = 775\)
Looking at the z-table, the critical value for a 95% confidence interval is given as follows:
z = 1.96.
The lower bound of the interval is then given as follows:
\(23.5 - 1.96 \times \frac{12.2}{\sqrt{775}} = 22.6\)
The upper bound of the interval is then given as follows:
\(23.5 + 1.96 \times \frac{12.2}{\sqrt{775}} = 24.4\)
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two points on a line are (4,-1) and (1,5) what is the slope of the line
Answer: -2
I hope this helps and may God bless you! Have a nice day, bye! :)
What is 15% of 90?
O 13.5
O 6
O 600
Answer:
13.5
Step-by-step explanation:
Answer:
13.5
Step-by-step explanation:
What number is 15% of 90?
The calculated percentage of the number 15% of 90 would be 13.5.
If this helps please mark brainliest.
. Where is the vertex of the graph that represents y=(x−2)2−8 ? Type the answers in the boxes below. ( , ) b. Where is the y -intercept? Type the answers in the boxes below.
The vertex of the given equation is (0,12) and (1, -10). The value of y-intercept will be -12.
Given equation :
y=(x−2)2−8
y = 2x - 4 - 8
= 2x - 12
The final equation is y = 2x - 12.
Compare this equation with slope and y-intercept formula :
y = mx+c
So that c = -12
The value of y-intercept according to the solution is -12.
To find the vertex. Let's assume x=0; Substitute in the equation
y = 2(0) -12
y = -12
The first vertex will be (0, -12)
If x = 1; y = 2(1) -12
y = -10
Then the second vertex will be (1, -10).
Hence, the vertex of the given equation is (0,12) and (1, -10). The value of y-intercept will be -12.
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Please help me answer this and show all work. I WILL MARK BRAINLIEST!!!
Answer:
To increase the quantity of fruit baskets sold by 20%, we would need to charge $48 per basket.
Step-by-step explanation:
The price elasticity of demand measures the responsiveness of the quantity demanded of a good to a change in its price. In this case, a price elasticity of -2.0 means that a 1% increase in the price of the fruit basket will result in a 2% decrease in the quantity of fruit baskets demanded.
Using the midpoint formula to calculate the new price, we take the average of the initial price and the new price to get the midpoint. Then, we calculate the percentage change in both quantity demanded and price relative to this midpoint.
Setting the percentage change in quantity demanded equal to 20%, we can solve for the new price that would be required to achieve this increase in quantity demanded. The solution is $48, which represents a 20% increase from the original price of $40.
To increase the quantity of fruit baskets sold by 20%, we need to lower the price. The price elasticity of demand tells us how much we need to lower the price to achieve this increase in quantity. In this case, the price elasticity of demand is -2.0, which means that for every 1% increase in price, there will be a 2% decrease in quantity demanded, and vice versa.
Using the midpoint formula, we can calculate that the new price we should charge to achieve a 20% increase in quantity is $48. This means that we need to lower the original price of $40 by 20%, or $8, to arrive at the new price of $48.
Price elasticity of demand = percentage change in quantity demanded / percentage change in price
-2.0 = 20% / (P - $40) / (($40 + P) / 2)
where P is the new price we want to find.
Simplifying the equation:
-2.0 = 20% / (P - $40) / (($40 + P) / 2)
-2.0 = 20% / ((P - $40) / (($40 + P) / 2))
-2.0 = 10 / ((P - $40) / (($40 + P) / 2))
-2.0 = (2 * (($40 + P) / 2)) / (P - $40)
-2.0 = ($40 + P) / (P - $40)
-2.0(P - $40) = $40 + P
-2.0P + $80 = $40 + P
3.0P = $40 + $80
3.0P = $120
P = $40
(Is this ok?)
Find the leg of a right triangle with sides 5.2cm and 15cm
The length of the other leg is 14.06 cm.
Noted that Pythagoras theorem states that the square of the longest side must be equal to the sum of the square of the other two sides in a right-angle triangle.
|AC|^2 = |AB|^2 + |BC|^2
Given that
Hypotenuse, AC = 15 cm and shorter leg, AB = 5.2 cm.
We are to find the length of the other leg, BC.
From Pythagoras' theorem, we have
\(|AC|^2 = |AB|^2 + |BC|^2 \\\\|BC|^2 = |15 |^2 - |5.2 |^2 \\\\|BC|^2 = 225 - 27.04 \\\\|BC|^2 = 197.96\\\\\)cm.
BC = 14.06
Thus, the length of the other leg is 14.06 cm.
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solve each proportion algebraically. show your work. n/6 = 25/30
A lacrosse coach has $275 to spend on equipment. He buys 3 goals for $75 each. Mouth guards cost $5 each . how many mouth guards can the coach buy?
Answer:
10
Step-by-step explanation:
275 - (75*3). This is the money he has left.
Divide that by 5 to get 10 mouthguards.
Answer:
10
Step-by-step explanation:
3 times 75=225 275-225=50 50/5=10
Solve for x and find NM
Answer:
x = 9, NM = 41
Step-by-step explanation:
Since KL = ML then the triangle is isosceles and LN is a perpendicular bisector, thus
NM = NK , substitute values
7x - 22 = 3x + 14 ( subtract 3x from both sides )
4x - 22 = 14 ( add 22 to both sides )
4x = 36 ( divide both sides by 4 )
x = 9
Thus
NM = 7x - 22 = 7(9) - 22 = 63 - 22 = 41
Classify each number below as a rational number or an irrational number.
Answer:
15pi (irrational), -2\(\sqrt{7}\) (rational), -77.33 (rational), -\(\sqrt{9}\) (rational), -39.93 (irrational)
Step-by-step explanation:
15pi - irrational because remember pi is irrational.
-2 square root 7 - rational because it gives a terminating decimal.
-77.33 - rational, as it gives a terminating decimal.
-39.93 - irrational as the line above it, means it never ends.
Eight less than half of a number is 52”. Check the solution.
2. Regina Aguirre deposits $2,000 into an ordinary annuity after each 6-month period for 4 years. The account
pays 6% interest compounded semiannually. Find the a) future value, and b) total interest earned.
Find the inverse of g(x)=2x-3
Answer:
g^-1(x)=x/2+3/2
Step-by-step explanation:
Solve this system of equations by substitution.
x + y = 4
2x - 3y = 3
Answer
Given the 2 equations
x = y + 4 → (1)
2x - 3y = - 2 → (2)
Substitute x = y + 4 into (2)
2(y + 4) - 3y = - 2 ← distribute and simplify left side
2y + 8 - 3y = - 2
- y + 8 = - 2 ( subtract 8 from both sides )
- y = - 10 ( multiply both sides by - 1 )
y = 10
Substitute y = 10 into (1) for corresponding value of x
x = 10 + 4 = 14
Solution is (14, 10 ) → D
Step-by-step explanation:
Answer:
x=3
x=3y=1
I hope this helps!
Step-by-step explanation:
x+y=4
2x-3y=3
y = 4-x
2x-3(4-x) = 3
2x-12+3x = 3
5x = 15
x = 3
y = 4-x
4-3 = 1
y = 1
Find ????⋅ ???? if |????|=3 , |????|=9 , and the angle between ???? and ???? is π2 radians.
a.b = _______
Answer:
\(a{\cdot}b=0\)
Step-by-step explanation:
It is given that,
Magnitude of a A, \(|A|=3\)
magnitude of B, \(|B|=9\)
The angle betwern a and b is \(\dfrac{\pi}{2}\ rad=90^{\circ}\)
Dot product,
\(a{\cdot} b=|a||b|\ \cos\theta\\\\a{\cdot} b=3\times 9\times \ \cos(90)\\\\a{\cdot} b=0\)
So, a.b is equal to 0.
The sum of two numbers is $30$. If we double the larger number, and subtract three times the smaller number, the result is 5. What is the positive difference between the two numbers?
Answer: I think its 15
Step-by-step explanation:
Answer:
\(8\)
Step-by-step explanation:
\(x\) is the larger number.
\(y\) is the smaller number.
\(x+y=30\\2x-3y=5\)
It becomes a simultaneous equation.
Let's solve for \(y\):
\(x=-y+30\)
\(2x-3y=5\\2(-y+30)-3y=5\\-5y+60=5\\-5y+60+-60=5+-60\\-5y=-55\\y=11\)
Let's solve for \(x\):
\(x=-y+30\\x=-11+30\\x=19\)
Find out the positive difference between the two numbers.
\(x-y\\19-11\\=8\)
Select three correct interpretations about the graph of r(t).
T
A. The average mortgage rate increased continuously
between 2003 and 2005.
B. The average mortgage rate fell to a relative minimum
between 2002 and 2003.
C. Based on the y-intercept, the average mortgage rate in
2010 was about 7.7%.
X
D. Based on the absolute maximum, the average
mortgage rate was highest between 2006 and 2007.
E. An appropriate domain for this function is 0≤t≤10
Answer: The correct interpretations about the graph of r(t) are B, D, and E.
Interpretation B is correct because the graph shows that the average mortgage rate fell to a relative minimum between 2002 and 2003.
Interpretation D is correct because the graph shows that the average mortgage rate was highest between 2006 and 2007, based on the absolute maximum.
Interpretation E is correct because an appropriate domain for this function would be 0≤t≤10, as t represents time and the graph shows data for the period between 2002 and 2010.
Interpretation A is not correct because the graph does not show that the average mortgage rate increased continuously between 2003 and 2005.
Interpretation C is not correct because the y-intercept does not represent the average mortgage rate in 2010. The y-intercept represents the value of the function when t = 0, which does not correspond to any time in the given data.
Step-by-step explanation:
Find the unit rate (constant of proportionality) of the distance traveled.
Number of hours
0.25 1.5 2.5 3
Distance traveled (km) 3 18 30 36
Answer:
12.
Step-by-step explanation:
if to re-write the given condition, then
\(\frac{3}{0.25} =\frac{18}{1.5} =\frac{30}{2.5} =\frac{36}{3} ;\)
it is clear, the required constant is 12 (12 per hour).
In the past month Lisa res Ted 6 video games and 5 dvds the rental price for each veideo game was $2.10 the rental price for each dvd was $2.90 what is the total amount Lisa spent on video games and dvd rentals in the past month
Answer:
27.1 dollars
Step-by-step explanation:
Lisa is flying from Boston to Denver with a connection in Chicago. The probability her first flight leaves on time is 0.25 . If the flight is on time, the probability that her luggage will make the connecting flight is 0.8 , but if the flight is delayed, the probability that the luggage will make it is only 0.65. Suppose you pick her up at the Denver airport and her luggage is not there. What is the probability that her first flight was delayed?
Answer:
The probability is 0.33
Step-by-step explanation:
Please find the attachment for detail
Round 249798.828806 to the nearest ten
Answer:
249798.8
Hope this helps! <3
Maria has been tracking the number of songs she has
downloaded on her smart phone for the past several
months. Use the scatterplot and line of best fit below to
help her determine when she will reach 10,000 songs?
Answer:
The answer of the given question based on the scatterplot for determining when she will reach 10,000 songs the answer is Maria will reach 10,000 songs in approximately 13.33 months, or about 14 months.
What is Slope?Slope is measure of steepness or incline of line. In geometry and mathematics, slope is defined as ratio of the change in y-coordinates to change in x-coordinates between two distinct points on line. This is often represented by letter "m".
To determine when Maria will reach 10,000 songs, we need to find the point on the line of best fit where the y-value is 10,000.
From the scatterplot, we can estimate that the line of best fit intersects the y-axis at approximately 2000. This means that the initial number of songs downloaded was 2000.
Next, we need to find the slope of the line of best fit. Let's choose the points (5, 6500) and (10, 9500).
The slope of the line passing through these two points is:
slope = (y2 - y1)/(x2 - x1) = (9500 - 6500)/(10 - 5) = 600 songs per month
This means that Maria is downloading 600 songs per month on average.
Finally, we can use the slope-intercept form of a line to find the x-value when the y-value is 10,000:
y = mx + b
10,000 = 600x + 2000
8000 = 600x
x = 13.33
Therefore, Maria will reach 10,000 songs in approximately 13.33 months, or about 14 months.
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There were 200 baseball cards in the box.adam wanted to sell 15 percent of them. how many cards did he want to sell
Answer:
30
Step-by-step explanation:
ii) y = 4√x-x, 0≤x≤8 find the absolute maxima and minima
The absolute maximum value is 0 and it occurs at x = 0 and x = 8, while the absolute minimum value is also 0 and it occurs at the same points.
To find the absolute maxima and minima of the function y = 4√(x - x), where 0 ≤ x ≤ 8, we need to evaluate the function at its critical points and endpoints within the given interval.
First, let's find the critical points by taking the derivative of the function y with respect to x and setting it equal to zero:
y = 4√(x - x)
\(dy/dx = (4/2\sqrt{(x - x)} ) \times (1) = 2/\sqrt{(x - x) }\)
To find the critical points, we set dy/dx = 0:
2/√(x - x) = 0
The denominator cannot be zero, so there are no critical points within the given interval (0 ≤ x ≤ 8).
Next, we evaluate the function at the endpoints of the interval:
For x = 0:
y = 4√(0 - 0) = 4√0 = 0
For x = 8:
y = 4√(8 - 8) = 4√0 = 0
Hence, the function has minimum values of 0 at both endpoints of the interval.
Therefore, the absolute maximum value is 0 and it occurs at x = 0 and x = 8, while the absolute minimum value is also 0 and it occurs at the same points.
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What is -3(2a + 5b - 4y - 2)?
Answer: -6a-15b+12y+6
Step-by-step explanation:
what is the most effluence first step to isolate the variable term on one side of this equation -9x=-4x+5
I’ll give you brain list if you solve it
Answer:
1000$ is the correct ans I think ?