Answer:
Step-by-step explanation:
The median time is less than 25 minutes
What is the area of the figure? In Units
Answer:
Area = 40
Perimeter = 26
Step-by-step explanation:
length = 8
width = 5
Area = 8 x 5 = 40
Perimeter = 2(8 + 5) = 26
A puppy and a kitten are 180 feet apart when they see each other. The puppy can run at a speed of 25 feet per second, while the kitten can run at a speed of 20 feet per second.
How long will it take the kitten to catch up to the puppy if the puppy runs away from the kitten, and the kitten simultaneously starts chasing the puppy?
Answer:
an infinitely long time
Step-by-step explanation:
You want to know the time it takes for a kitten running 20 ft/s to catch a puppy running 25 ft/s when they start 180 ft apart and the puppy runs away from the kitten.
NeverThe kitten runs slower than the puppy, so can never catch up to it.
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If a snowball melts so that its surface area decreases at a rate of 3 cm2/min, find the rate (in cm/min) at which the diameter decreases when the diameter is 9 cm. (Round your answer to three decimal places.)
Answer:
The diameter decreases at a rate of 0.053 cm/min.
Step-by-step explanation:
Surface area of an snowball
The surface area of an snowball has the following equation:
\(S_{a} = \pi d^2\)
In which d is the diameter.
Implicit differentiation:
To solve this question, we differentiate the equation for the surface area implictly, in function of t. So
\(\frac{dS_{a}}{dt} = 2d\pi\frac{dd}{dt}\)
Surface area decreases at a rate of 3 cm2/min
This means that \(\frac{dS_{a}}{dt} = -3\)
Tind the rate (in cm/min) at which the diameter decreases when the diameter is 9 cm.
This is \(\frac{dd}{dt}\) when \(d = 9\). So
\(\frac{dS_{a}}{dt} = 2d\pi\frac{dd}{dt}\)
\(-3 = 2*9\pi\frac{dd}{dt}\)
\(\frac{dd}{dt} = -\frac{3}{18\pi}\)
\(\frac{dd}{dt} = -0.053\)
The diameter decreases at a rate of 0.053 cm/min.
the diffrence of 54 and 32 mutlipted by the diffrence of 8 and 5
Answer:
66
Step-by-step explanation:
the difference of 54 and 32 is 54 - 32 = 22
the difference of 8 and 5 is 8 - 5 = 3
then
22 × 3 = 66
20 Topic 4. Similar Right Triangles Solverord 19 20 21 Round your answer to the nearest tenth if necessary 22 23
x= 6√5
1) Considering the right triangle metric relations and examining the picture, in which we're looking for the altitude of the triangle. Let's pick the one for the height of the right triangle and the projections of the hypotenuse: 20,9
h²= m.n In this triangle we can rewrite it as
x²=20*9
√x²=√180
x=6√5, and -6√5 The negative value does not fit into that
So, x= 6√5
Simplify 8(x + 7) + 8 over 3(x + 5) + 9
Answer:
8/3
Step-by-step explanation:
First you simplify 8(x+7) +8, which is 8x +64. then you simplify 3(x+5)+9, which is 3x+24. To simplify 8x+64 over 3x+24 is easy, because you just get rid of the x's, and divide by eight. So that's 8/3
Answer:
8/3
Step-by-step explanation:
First you simplify 8(x+7) +8, which is 8x +64. then you simplify 3(x+5)+9, which is 3x+24. To simplify 8x+64 over 3x+24 is easy, because you just get rid of the x's, and divide by eight. So that's 8/3
F(4g2-9)=n i need to solve for f
Answer:
Step-by-step explanation:
Does anyone know this answer??
Approximately 99.7% of scores lie in the shaded region.
We have,
The empirical rule, also known as the 68-95-99.7 rule, provides an estimate of the percentage of scores that lie within a certain number of standard deviations from the mean in a normal distribution.
According to this rule:
Approximately 68% of scores lie within 1 standard deviation of the mean.
Approximately 95% of scores lie within 2 standard deviations of the mean.
Approximately 99.7% of scores lie within 3 standard deviations of the mean.
Now,
In the given scenario, the shaded region represents the area between -2 and 3 standard deviations from the mean on the x-axis.
This encompasses the area within 3 standard deviations of the mean.
And,
Since 99.7% of scores lie within 3 standard deviations of the mean, we can estimate that approximately 99.7% of scores lie in the shaded region.
Therefore,
Approximately 99.7% of scores lie in the shaded region.
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Given the individual rates of workers, to find the combined rate of all the individuals working together you must
the individual rates.
Fill in the blank
To find the combined rate of all the individuals working together, you must add the individual rates.
How to calculate combined rate of individuals working together?When calculating the combined rate of individuals working together, you need to add up the individual rates. Each worker contributes their own rate of work or productivity, and by adding these rates together, you can determine the combined rate at which they are working collectively.
This allows you to assess the overall efficiency and output of the team or group. By summing up the individual rates, we have better understanding of the overall productivity and performance of the group.
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Help asap much appreciated
hellooo
Step-by-step explanation:
so sine is 0 and (-1/3 isnt gonna positive out on the other side no is positive so ur last answer E is it
What is the standard form of this linear equation? 9x+2y=5x+6
Answer:
x
=
3
2
−
y
2
Step-by-step explanation: just write them in order sorry for how i rote it
can anyone solve this question.
Answer:
b
Step-by-step explanation:
What is the slope of -x+ 5y = 10?
Answer:
Slope = 1/5
Step-by-step explanation:
Given equation,
→ -x + 5y = 10
The slope-intercept form,
→ y = mx + b
→ slope = m
Now the slope-intercept form is,
→ -x + 5y = 10
→ 5y = x + 10
→ y = (x + 10)/5
→ [ y = (1/5)x + 2 ]
Then the required slope will be,
→ y = (1/5)x + 2
→ Slope = m = 1/5
Hence, the required slope is 1/5.
Answer:
\(\textsf{Slope}=\dfrac{1}{5}\)
Step-by-step explanation:
\(\boxed{\begin{minipage}{6.3 cm}\underline{Slope-intercept form of a linear equation}\\\\$y=mx+b$\\\\where:\\ \phantom{ww}$\bullet$ $m$ is the slope. \\ \phantom{ww}$\bullet$ $b$ is the $y$-intercept.\\\end{minipage}}\)
Given equation:
\(-x+5y=10\)
To find the slope of the given equation, use algebraic operations to isolate y.
Add x to both sides of the equation:
\(\implies -x+5y+x=10+x\)
\(\implies 5y=x+10\)
Divide both sides of the equation by 5:
\(\implies \dfrac{5y}{5}=\dfrac{x+10}{5}\)
\(\implies y=\dfrac{1}{5}x+\dfrac{10}{5}\)
\(\implies y=\dfrac{1}{5}x+2\)
The coefficient of x is the slope of the equation.
Therefore, the slope of the given equation is ¹/₅.
How many pounds of each type of fruit did she buy? she bought
pounds of limes and pounds of pears.
Pat bought 5 pounds of apples.
(1) 1 pound of pears cost $0.5 more that 1 pound of apples.
If 1 pound of pears cost $1 and 1 pound of apples cost $0.5, then the cost of 5 pounds of apples is 5*0.5=$2.5. For $2.5 we can buy 2.5/1=2.5 pounds of pears.
If 1 pound of pears cost $1.5 and 1 pound of apples cost $1, then the cost of 5 pounds of apples is 5*1=$5. For $5 we can buy 5/1.5=10/3 pounds of pears.
(2) 1 pound of pears cost 1.5 times as much as 1 pound of apples.
The cost of 5 pounds of apples is $5a (where a is the cost of 1 pound of apples). For $5a we can buy 5a/(1.5a)=5/1.5 pounds of pears. Sufficient.
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Given question is incomplete , the complete question is given below ,
Pat bought 5 pounds of apples. How many pounds of pears could he have bought for same amount of money?
(1) 1 pound of pears cost $0.5 more that 1 pound of apples
(2) 1 pound of pears cost 1.5 times as much as 1 pound of apples
What is 53 percent of 49?
O 2.597
O 25.97
259.7
2,597
Answer:
49*0.53=25.97 :)
(edited) ;)
Step-by-step explanation:
53 percent of 49 is approximately equal to 25.97. the correct answer is option B) 25.97.
To find 53 percent of 49, we can calculate it by multiplying 49 by 0.53 (which is equivalent to 53 divided by 100).
49 * 0.53 = 25.97
Therefore, 53 percent of 49 is approximately equal to 25.97.
So, the correct answer is option B) 25.97.
Options A) 2.597, C) 259.7, and D) 2,597 are not correct since they either incorrectly place the decimal point or exaggerate the value by orders of magnitude. The accurate value is 25.97.
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1. Given: y = -2x2
Domain
Range
Opening of the
parabola
Vertex
Axis of Symmetry
X - intercept
y - intercept
Domain: (-∞,∞) or -∞ < x < ∞ or all real numbers
Range: (-∞,0] or -∞ < y ≤ 0
Opens: Downwards since a is negative
Vertex: ( 0 , 0 )
Axis of Symmetry: x=0
x-intercept: ( 0 , 0 )
y-intercept: ( 0 , 0 )
The perimeter of a square is 56. Express the length of a diagonal of the square in simplest radical form.?
The length of the diagonal of a square with a perimeter of 56 is 14√2.
What is a diagonal?A diagonal is the longest line that divides a plane shape into two equal parts.
To calculate the length of the diagonal of the square, first we need to find the length of the square using the perimeter formula.
Formula:
P = 4a............ Equation 1Where:
P = Perimeter of the squarea = Length of the squareFrom the question,
Given:
P = 56Substitute the value into equation 1 and solve for a
56 = 4aa = 56/4a = 14Finally to find the length of the diagonal of the square, we use the formula below
d = √(2a²)................... Equation 2Where:
d = Lenght of the diagonal of the squarea = Length of the square = 14Substitute into equation 2
d = √(2×14²)d = 14√2Hence, the length of the diagonal is 14√2.
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Answer:
qfewwqeffwqfefewqwqreg
Step-by-step explanation:
5. How can you use the Distributive Propery
factor the expression 6x + 15?
Answer:
3(2x+5)
Step-by-step explanation:
Since the GCF of 6 and 15 is 3, you should take out the 3 from both parts of the equation.
A natural history museum surveyed the people visiting the museum for one month and
created a circle graph to show the age of the visitors for that month.
a. Find the number of degrees for each part of the museum visitors graph.
Age 18 and under:
Age 19 – 44:
Age 45 – 64:
Age 65 and over:
b. If 5000 people visited the museum during the month the survey was taken, how Age 18 and under:
Age 19 – 44:
Age 45 – 64:
Age 65 and over:
Answer:
20
Step-by-step explanation:
19-44=25
45-64=19 25+19=44 44-64=20
50 POINTS, PLEASE HELP
do the problem
Answer:
Surface Area: 184cm^2
Volume: 120cm^2
Step-by-step explanation:
Max is thinking of a number, which he calls n. He adds 8 and then doubles the sum. What is Max's final number if his starting number is 7? i need help pls
Based on the given situation, Max final number if his starting number is 7 is -4.5
AlgebraUnknown number = nHe adds 8n + 8
then doubles the sum2(n + 8)
starting number = 7So,
2(n + 8) = 7
2n + 16 = 7
2b = 7 - 16
2n = -9
n = -9/2
n = -4.5
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Determine the turning points and distinguish between them when necessary y=x³ - 3x - 9x + 4
The turning points of the function y = x³ - 3x² - 9x + 4 are (3, -23) and (-1, 9).
To determine the turning points of the given function y = x³ - 3x² - 9x + 4, we need to find the critical points where the derivative of the function is equal to zero.
1. Find the derivative of the function:
y' = 3x² - 6x - 9
2. Set the derivative equal to zero and solve for x:
3x² - 6x - 9 = 0
3. Factorize the quadratic equation:
3(x² - 2x - 3) = 0
4. Solve the quadratic equation by factoring or using the quadratic formula:
(x - 3)(x + 1) = 0
This gives us two possible values for x: x = 3 and x = -1.
5. Substitute these critical points back into the original function to find the corresponding y-values:
For x = 3:
y = (3)³ - 3(3)² - 9(3) + 4
= 27 - 27 - 27 + 4
= -23
For x = -1:
y = (-1)³ - 3(-1)² - 9(-1) + 4
= -1 - 3 + 9 + 4
= 9
6. Therefore, the turning points are (3, -23) and (-1, 9).
Note: It appears that there was a typo in the original equation, where the term "-9x" should have been "-3x²". The above solution assumes the corrected equation.
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Trina has a credit card that uses the adjusted balance method. For the first 10
days of one of her 30-day billing cycles, her balance was $780. She then
made a purchase for $170, so her balance jumped to $950, and it remained
that amount for the next 10 days. Trina then made a payment of $210, so her
balance for the last 10 days of the billing cycle was $740. If her credit card's
APR is 17%, which of these expressions could be used to calculate the
amount Trina was charged in interest for the billing cycle?
OA. (30)($780)
365
B.
O C.
D.
0.17
365
0.17
365
0.17
365
30
30
(10 $780+10 $950 +10 $210)
30
10
$780+10$950+10 $740
30
•30) ($570)
The expression that could be used to calculate the amount Trina was charged in interest for the billing cycle is (APR / 365) x 30 days x adjusted balance.
What is the adjusted balance method?The adjusted balance method is one of the methods for computing the finance charge (interest and other fees) for credit cards.
The adjusted balance is the ending balance determined after adjusting the opening balance with purchases and payments.
Credit card interest method = adjusted balance method
Beginning balance = $780
Purchase = $170
Payment = $210
Adjusted balance, AB = $740 ($780 + $170 - $210)
APR = 17% = 0.17 (17/100)
The interest charged = (APR / 365) x 30 days x adjusted balance
= $10.34 [(0.17/365) x 30 x $740]
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There's another silence as Steve looks toward the crowd and then toward Tommy. He wears a tight grin.
STEVE
Based on the clues in this passage, what will most likely happen next?
• The neighbors will stop doubting Tommy.
Well, I guess what we'd better do then is to run a check on the neighborhood and see which ones of us are really human.
• The neighbors will stop taking Steve seriously.
• The neighbors will continue to joke about the situation.
There's laughter at this, but it's a laughter that comes
from a desperate attempt to lighten the atmosphere. It's a • The neighbors will begin checking to see who is release kind of laugh.
really human.
36. GROUP SHOT - THE PEOPLE 36.
As they look at one another in the middle of their laughter.
-The Monsters Are Due on Maple Street,
Rod Serling
Answer:
5
Step-by-step explanation:
The radius of a circle is 17 centimeters. What is the circle's circumference?
Answer:
The circle's circumference is approximately 106.81 centimeters.
Explanation:
The formula for the circumference of a circle is C = 2πr, where C is the circumference, π is pi (approximately 3.14), and r is the radius of the circle.
So, for a circle with a radius of 17 centimeters, its circumference can be found by:
C = 2πr
C = 2 x 3.14 x 17
C ≈ 106.81 cm
Therefore, the circumference of the circle is approximately 106.81 centimeters.
If the half life of a substance is 4 weeks, how long will it take for 400 mg of this substance to decay to 25 mg?
Step-by-step explanation:
what is meant by mg in this question
A car is moving along a straight road it travels 150 meters in 5 sec. Then find the speed of the car?
Average speed of the car will be the total distance traveled in the total time. Taking distance travelled as 150 in 5 seconds we have average speed as. 30×1=30 m
in the fruit bowl there are 12 bananas 8 apples and 4 oranges. do for every one orange there are ___ bananas
For every 1 orange in the fruit bowl there are three bananas.
According to the question,
We have the following information:
In the fruit bowl there are 12 bananas, 8 apples and 4 oranges.
Now, in order to find the number of bananas in this fruit bowl for 1 orange can be as written below:
4 oranges = 12 bananas
Now, to find the number of bananas for 1 orange, we will divide the total number of bananas by the number of oranges.
So, we have the following expression:
1 orange = 12/4 bananas
1 orange = 3 bananas
Hence, for every 1 orange in the fruit bowl there are three bananas.
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please help me asap
Answer:
Step-by-step explanation:
it is B
Evaluate the expression 2x + xy if x = 2 and y = 14?