Answer:
56
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
Find the difference between ¼ of #5.00 and 37/½% of #1.50
The difference between ¼ of 5.00 and 37/½% of 1.50 is 0.6875 because 1/4 of 5.00 is 1.25 and 37.5% of 1.50 is 0.5625.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
We have:
\(\rm \dfrac{1}{4} \ \ of \ 5.00\)
\(\rm = \dfrac{1}{4}\times 5.00\)
= 1.25
\(\rm 37 \dfrac{1}{2} \% \ of \ 1.50\)
= 37.5% of 1.50
= 0.5625
Difference between the numbers:
= 1.25 - 0.5625
= 0.6875
Thus, the difference between ¼ of 5.00 and 37/½% of 1.50 is 0.6875 because 1/4 of 5.00 is 1.25 and 37.5% of 1.50 is 0.5625.
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B. David spent $112 to buy 26 plants for his garden. He purchased hostas and geranium plants. A hostas cost
$2.00 each and a geranium cost $7.00 each. How many of each type of plant did David buy?
Answer:
14 hostas and 12 geraniums
Write
7
as a decimal.
25
0
Answer:
0.07
Step-by-step explanation:
tell whether the given value is a solution of the inequality. please answer these questions i will mark you brainliest
Answer:12 yes 14 no 16 yes
Step-by-step explanation:its hard to explain
just plug the value in
12.
17 + 5 < 13
22 < 13
false
14.
10/2>6
5>6
false, you are correct
16.
-5 =< 0
it just has to be less OR equal
so it's true, it is a solution
Triangle ABC is shown on the coordinate plane below . The triangle is reflected across the y - axis and then translated 3 units to the right to form triangle A'B'C ' .
PLEASEEE HURRRY
Answer:is D
Step-by-step explanation:
Answer: B
Coordinates: A’ (-3,2). B’ (-3,-3). C’(0,-2)
Help me with this please!
The solution is: Option D has the correct data points and so is the right answer.
We have,
A function is a mathematical way of representing relation between two variables.
The function given is
y = 2x²
For x = - 2, y = -2(- 2)² = -8
For x = - 1, y = -2(- 1)² = -2
For x = 0, y = -2(0)² = 0
For x = 1, y = -2(1)² = -2
For x = 2, y = -2(2)² = -8
the table of x-y will be:
x - 2 - 1 0 1 2
y -8 -2 0 -2 -8
The graph is attached with the answer.
The parabola opens downward and has the data points as mentioned above .
The Graph B best represents a parabola ,
Therefore Option D is the correct answer.
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complete question:
Complete the following table using the equation: Y = negative 2 x Squared x -2 -1 0 1 2 y Plot the points on a graph and determine which graph best represents the equation. Graph A On a coordinate plane, a parabola opens up. It goes through (negative 1, 2), has a vertex at (0, 0), and goes through (1, 2). Graph B On a coordinate plane, a parabola opens down. It goes through (negative 1, negative 1), has a vertex at (0, 0), and goes through (1, negative 1). a. 8, 2, 0, 2, 8; Graph A b. -8, -2, 0, -2, -8; Graph A c. 8, 2, 0, 2, 8; Graph B d. -8, -2, 0, -2, -8; Graph B Please select the best answer from the choices provided A B C D
plz help will mark as brainliest
Answer:
X = 36 Plz mark brainliest :)
Step-by-step explanation:
This is quite easy actually. If you look on the right you see that the exterior angle next to x is 144 degrees. We know that a straight line is 180 degrees so to find x we can do 180 = x + 144.
Answer:
∠ACB = 36°
∠ABC = 60°
Step-by-step explanation:
∠ACB = 180 - 144 (Linear Pair)
therefore, x = 36°
∠ABC = x + 24°
∠ABC = 36 + 24
∠ABC = 60°
Challenge A bag contains pennies, nickels, dimes, and quarters. There are 50 coins in all. Of the coins, 14% are pennies and 30% are dimes. There are 4 more nickels than pennies. How much money does the bag contain?
Answer:
the bag contains $10.89.
Step-by-step explanation:
Let's start by using algebra to represent the number of coins in terms of one variable. Let x be the number of pennies in the bag. Then:
The number of nickels is 4 more than the number of pennies, so there are x + 4 nickels.
The number of dimes is 30% of the total, so there are 0.3 * 50 = 15 dimes.
The number of quarters is the remaining coins: 50 - (x + x + 4 + 15) = 31 - 2x.
To find the total amount of money, we need to multiply the number of each type of coin by its value and add them up. Using the values of the coins:
Pennies: x * $0.01
Nickels: (x + 4) * $0.05
Dimes: 15 * $0.10
Quarters: (31 - 2x) * $0.25
Adding these expressions and simplifying, we get:
Total = 0.01x + 0.05(x + 4) + 0.10(15) + 0.25(31 - 2x)
= 0.01x + 0.05x + 0.20 + 1.50 + 7.75 - 0.50x
= 0.06x + 9.45
Now we need to find x, the number of pennies. We know that 14% of the coins are pennies, so:
0.14 * 50 = 7 = x + (x + 4) + 15 + (31 - 2x)
Solving for x, we get:
7 = 50 - x - 19
x = 24
So there are 24 pennies, 28 nickels, 15 dimes, and 3 quarters in the bag. The total amount of money is:
Total = 0.06(24) + 9.45 = $10.89
Therefore, the bag contains $10.89.
a survey found that out of a random sample of 200 workers, 168 said they were interrupted three or more times an hour by phone messages, faxes, etc. Find. the 90% confidence interval of the population proportion of workers who are interrupted three or more times an hour
The 90% confidence interval for the population proportion is given by 0.79736 < p < 0.88264
What is Confidence Interval?The mean of your estimate plus and minus the range of that estimate constitutes a confidence interval. Within a specific level of confidence, this is the range of values you anticipate your estimate to fall within if you repeat the test. In statistics, confidence is another word for probability.
With a 95 percent confidence interval, you have a 5 percent chance of being wrong. With a 90 percent confidence interval, you have a 10 percent chance of being wrong. A 99 percent confidence interval would be wider than a 95 percent confidence interval
Confidence Interval CI = x + z ( s/√n )
where x = mean
z = confidence level value
s = standard deviation
n = sample size
Given data ,
The total number of workers n = 200
The number of favorable cases X = 168
So , p = X / n = 168 / 200
The value of p = 0.84
The critical value zₐ = 1.6449
Now , the confidence interval is CI = p ± zₐ [ √ ( p ( 1 - p ) / n ) ]
Substituting the values in the equation , we get
The confidence interval CI = 0.84 ± 1.6449 [ √ ( 0.84 ( 0.16 ) / 200 ) ]
On further simplification , we get
The confidence interval CI = 0.84 ± 1.6449 [ 0.0259 ]
Therefore , the confidence interval CI = ( 0.79736 , 0.88264 )
Hence , the CI is ( 0.79736 , 0.88264 ) and the confidence interval is 0.79736 < p < 0.88264
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For the following exercises, find dy/dx for each function:
\(y= 1 / sin^2(x)\)
Answer:
-2csc^2(x)cot(x)
Step-by-step explanation:
by derivative sin^-2(x)
The diagram shows a particle P of mass M kg suspended from two strings
The angle made by one of the tensions suspending particle P is 50⁰.
What is the angle made by the two tensions?The angle θ made by one of the tensions is calculated by applying trig identities as follows;
the force opposite the angle = weight of the block = mg
W = 7.75 kg x 9.8 m/s²
W = 75.95 N
The angle θ made by one of the tensions is calculated as follows;
cos θ = (38 N ) / ( 59 N)
cos θ = 0.6441
θ = arc cos (0.6441)
θ = 50⁰
Thus, the angle θ made by one of the tensions is determined as 50 degrees.
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The missing part of the question is in the image attached.
Help with this, thank you
The slope of a line perpendicular to the line whose equation is x - 2y = -8 is -2.
What are perpendicular lines?In Mathematics and Geometry, perpendicular lines are two (2) lines that intersect or meet each other at an angle of 90° (right angles).
From the information provided above, the slope for the equation of line m is given by:
x - 2y = -8
2y = x + 8
y = x/2 + 4
slope (m) of line m = 1/2
In Mathematics and Geometry, a condition that is true for two lines to be perpendicular is given by:
m₁ × m₂ = -1
1/2 × m₂ = -1
m₂ = -2
Slope, m₂ of perpendicular line = -2
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homogenuos function who can solve it
Answer:
a) f(x) is a homogenous function of degree '1'
b) f(x) is a homogenous function of degree '2'
Step-by-step explanation:
Step(i):-
Homogenous function
If f(x) is a homogenous function of degree 'n' then
\(f(k x ,k y) = k^{n} f(x, y)\)
a)
Given \(f(x, y) = \sqrt{x^{2} +3xy+2y^{2} }\)
\(f(kx, ky) = \sqrt{(kx)^{2} +3kx(ky)+2(ky)^{2} }\)
\(f(kx, ky) = \sqrt{(k)^{2} (x)^{2} +3k^{2} (xy)+2(k)^{2} y^{2} }\)
\(f(kx, ky) =( k^{2})^{\frac{1}{2} } ( \sqrt{(x)^{2} +3 (xy)+2 y^{2} })\)
f( k x , k y ) = k f( x, y)
∴ f(x) is a homogenous function of degree '1'
Step(ii):-
b)
\(f(x, y) = \sqrt{x^{4} +3x^{2} y+5y^{2} x^{2} -2y^{4} }\)
\(f(kx, ky) = \sqrt{(k x)^{4} +3(k x)^{2} y+5(k y)^{2} (k x)^{2} -2(k y)^{4} }\)
\(f(kx, ky) = (k^{4})^{\frac{1}{2} } \sqrt{( x)^{4} +3( x)^{3} y+5( y)^{2} ( x)^{2} -2( y)^{4} }\)
f(k x , k y ) = k² f( x , y )
∴ f(x) is a homogenous function of degree '2'
Consider the halfpipe with a diameter of 7 cm and a height of 20 cm.
Find its volume, rounding to 2 decimal places.
Answer: 384.85
Step-by-step explanation
Q1 ? Help Robert is 7 ½ years old. How many months old is he?
Answer:
Step-by-step explanation:
If Robert is 7 1/2 months old you need to multiply 7 1/2 by 12 because there are 12 months in a year.
7x12=84
1/2x12=6
6+84=90
Bethany has a photo website where she places photos that she has taken so others can see them. Below is how many likes each of her current photos were given: 10, 13, 15, 15, 17, 29 What is the average amount of likes each of her photos got? Hint: The average is your mean. 22 15 15.5 16.5
The average number of likes will be 16.5. the correct option is D.
What is a mean?Mean is defined as the ratio of the sum of the number of data sets to the total number of data. The mean is calculated by adding all the data points and dividing it by the total number of the data.
Given that Bethany has a photo website where she places photos that she has taken so others can see them. Below is how many likes each of her current photos was given: 10, 13, 15, 15, 17, 29.
The average will be calculated as:-
Mean = ( 10 + 13 + 15 + 15 + 17 + 29 ) / 6
Mean = 99 / 6
Mean = 16.5
Therefore, the average number of likes will be 16.5. the correct option is D.
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Find the time required for an investment of 5000 dollars to grow to 6000 dollars at an interest rate of 7.5 percent per year, compounded quarterly.
Answer:
2.4536 years
Step-by-step explanation:
compound formula:
A=P*(1+r/n)^nt
A = 6000
P = 5000
r = rate
n = 4 times per year compounded
t = time in years
6000 = 5000(1 + .075/4)^4t
divide both sides by 5000
1.2 = (1.01875)^4t
log both sides
log(1.2) = 4t * log(1.01875)
solve for t
t = 2.4537 years
HELP ME PLZ
For each value of u, determine whether it is a solution to 2 > 2u-4.
Is it a solution?
Answer:
yes no no yes in that order
Math- i don’t understand how to get the answer please help
Given the plot of normal distributions A and B below, which of the following statements is true? Select all correct answers.
A has the larger standard devlation.
What is standard devlation?
The standard deviation is a statistic that expresses how much variation or dispersion there is in a set of values. While a high standard deviation suggests that the values are dispersed over a wider range, a low standard deviation suggests that the values tend to be close to the set mean.
We are given two plots of normal distributions A and B.
The mean of a normal distribution is located at the center of the plot.
Since the centers of both of the normal distributions A and B seems to be aligned, therefore, they both seems to have equal means.
The standard deviation basically determines the shape of the distribution.
As you can see, the normal distribution A is more spread out and thus has a larger standard deviation than normal distribution B.
Therefore, the two correct options are
• The means of A and B are equal.
• A has larger standard deviation.
Complete question: Given the plot of normal distributions A and B below, which of the following statements is true? Select all correct answers.
Select all that apply:
A has the larger mean.
B has the larger mean.
The means of A and. Q jual.
A has the larger standard devlation.
B has the larger standard deviation.
The standard deviations of A and B are equal.
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CALC
PLEASE HELP!!
A chemical substance has a decay rate of 8.8% per day. The rate of change of an
dN
amount N of the chemical after t days is given by = -0.088N
dt
(i) Let No represent the amount of the substance present at to. Find the exponential function
that models the decay.
(ii) Suppose that 400g of the substance is present at to. How much will remain after 3 days?
(iii) What is the rate of change of the amount of the substance after 3 days?
(iv) After how many days will half of the original 400 g of the substance remain?
A function is a relationship between a few different inputs and an output, where each input can only lead to one possible outcome.
What is the chemical substance has a decay rate?(i) The exponential function that models the decay of the substance is given by:
\(N(t) = Noe^(-0.088t)\)
(ii) If \(400g\) of the substance is present at to, then \(No = 400g\) . Therefore, the amount of the substance remaining after 3 days is:
\(N(3) = 400e^(-0.0883) = 309.21g\) (rounded to two decimal places)
(iii) The rate of change of the amount of the substance after 3 days is given by:
\(dN/dt = -0.088N(3) = -0.088309.21 = -27.21 g/day\) (rounded to two decimal places)
(iv) To find the number of days it takes for half of the original \(400g\) of the substance to remain, we need to solve the equation:
\(N(t) = 0.5No\)
\(0.5No = Noe^(-0.088t)\)
\(0.5 = e^(-0.088t)\)
\(ln(0.5) = -0.088t\)
\(t = ln(0.5)/(-0.088) = 7.89 days\) (rounded to two decimal places)
Therefore, after \(7.89\) days, half of the original \(400g\) of the substance will remain.
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Set up and evaluate the integral that gives the volume of the solid formed by revolving the region bounded by y=x^8 and y = 256 in the first quadrant about the y-axis.
Using the shell method, the volume integral would be
\(\displaystyle 2\pi \int_0^2 x(256-x^8)\,\mathrm dx\)
That is, each shell has a radius of x (the distance from a given x in the interval [0, 2] to the axis of revolution, x = 0) and a height equal to the difference between the boundary curves y = x ⁸ and y = 256. Each shell contributes an infinitesimal volume of 2π (radius) (height) (thickness), so the total volume of the overall solid would be obtained by integrating over [0, 2].
The volume itself would be
\(\displaystyle 2\pi \int_0^2 x(256-x^8)\,\mathrm dx = 2\pi \left(128x^2-\frac1{10}x^{10}\right)\bigg|_{x=0}^{x=2} = \boxed{\frac{4096\pi}5}\)
Using the disk method, the integral for volume would be
\(\displaystyle \pi \int_0^{256} \left(\sqrt[8]{y}\right)^2\,\mathrm dy = \pi \int_0^{256} \sqrt[4]{y}\,\mathrm dy\)
where each disk would have a radius of x = ⁸√y (which comes from solving y = x ⁸ for x) and an infinitesimal height, such that each disk contributes an infinitesimal volume of π (radius)² (height). You would end up with the same volume, 4096π/5.
The volume of the solid formed by revolving the region bounded by y=x^8 and y = 256 in the first quadrant about the y-axis is 4096π/5 cubic units.
What is integration?It is defined as the mathematical calculation by which we can sum up all the smaller parts into a unit.
We have a function:
\(\rm y = x^8\) or
\(x = \sqrt[8]{y}\)
And y = 256
By using the vertical axis of rotation method to evaluate the volume of the solid formed by revolving the region bounded by the curves.
\(\rm V = \pi \int\limits^a_b {x^2} \, dy\)
Here a = 256, b = 0, and \(x = \sqrt[8]{y}\)
\(\rm V = \pi \int\limits^{256}_0 {(\sqrt[8]{y}^2) } \, dy\)
After solving definite integration, we will get:
\(\rm V = \pi(\frac{4096}{5} )\) or
\(\rm V =\frac{4096}{5}\pi\) cubic unit
Thus, the volume of the solid formed by revolving the region bounded by y=x^8 and y = 256 in the first quadrant about the y-axis is 4096π/5 cubic units.
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(04.07A)
Two quantities are related, as shown in the table below:
x y
2 3
4 4
6 5
8 6
Which equation best represents the relationship?
Answer:
The equation that best represents the relationship is \(y=\frac{1}{2}x+2\).
Step-by-step explanation:
We are given the following table representing the two quantities below;
x y
2 3
4 4
6 5
8 6
Firstly, we will find the two-point slope here, that is;
Consider two points; (\(x_1,y_1\)) = (2, 3) and (\(x_2,y_2\)) = (4,4)
Now, the formula for finding slope is;
Slope = \(\frac{y_2-y_1}{x_2-x_1}\)
= \(\frac{4-3}{4-2}\) = \(\frac{1}{2}\)
Similarly, finding the slope for the points (6,5) and (8,6);
Slope = \(\frac{y_2-y_1}{x_2-x_1}\)
= \(\frac{6-5}{8-6}\) = \(\frac{1}{2}\)
Now, the linear equation of the line having slope is given by;
\(y-y_1=m\times (x-x_1)\) ; where m = slope and consider (\(x_1,y_1\)) = (2, 3)
So, the equation of the line is;
\(y-3=\frac{1}{2} \times (x-2)\)
\(y-3=\frac{1}{2}x-1\)
\(y=\frac{1}{2}x+2\)
Hence, the equation that best represents the relationship is \(y=\frac{1}{2}x+2\).
Answer:
y = -1/2x + 11
What’s the answer to this answer fast please
Answer:
Hello! answer: 25
Step-by-step explanation:
24 × 24 = 576
7 × 7 = 49
576 + 49 = 625
√625 = 25
25 × 25 = 625 therefore. the hypotenuse is 25 hope that helps!
550 is 5% of what number?
Which statements are correct? Check all that apply.
Answer:
11000
Step-by-step explanation:
if we substitute the equation with 11000 550 is 5% of 11000
What equation does this set of algebra tiles represent?
x
1
1
1
1
1
1
1
1
=
1
1
1
1
1
1
1
1
1
1
1
1
Combine like terms on each side of the equation. For example, write 3 instead of 1 + 1 + 1.
The equation of the set of algebra tiles is x + 8 = 12.
What are algebra tiles?Algebra tiles are mathematical manipulatives that help students comprehend the principles of algebra and strategies to think algebraically. For introductory algebra pupils at the level of elementary school, middle school, high school, and college, these tiles have been demonstrated to offer solid examples.
Given set,
x 1 1 1 1 1 1 1 1 = 1 1 1 1 1 1 1 1 1 1 1 1
the set has one positive x and eight positive units,
the equation is x + 8.
and on the right side of the equation, there are 12 positive units,
equation is x + 8 = 12
Hence the equation s x + 8 = 12.
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Answer:
x + 8 = 12.
Step-by-step explanation:
in case you need it (x=4)
21) Kinzang is 1.49 m tall. He was 0.53 m at birth. How much did he grow?
Kinzang grew 0.96 meters.
We have,
To find how much Kinzang grew, we need to subtract his height at birth from his current height:
Height Kinzang grew = Current height - Height at birth
Height Kinzang grew = 1.49 m - 0.53 m = 0.96 m
Therefore,
Kinzang grew 0.96 meters.
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The two shapes below are scaled copies
of one another. The base lengths are
shown. What is the scale factor going
from the first figure to the second?
15
6
Answer:
2/5 or 0.4.
Step-by-step explanation:
6/15 = 2/5
Does:
the difference between a number and five
Translate to
n - 5
or
5 - n
PLEASE HELP!
Answer:
n - 5
Step-by-step explanation:
have a good day :)
Answer:
n-5
Step-by-step explanation:
first stated should be at first, and second stated will be at second.
plz mark as brainliest
ii. A machine is sold for 7,000/-. The gross loss is 20% of the cost. What are the cost and gross loss?
Given:
Selling price of a machine = 7000/-
Gross loss = 20%.
To find:
The cost and gross loss.
Solution:
Let x be the cost of machine.
According to the question,
\(x-20\%\text{ of }x=7000\)
\(x-\dfrac{20}{100}x=7000\)
\(x-0.2x=7000\)
\(0.8x=7000\)
Divide both sides by 0.8.
\(x=\dfrac{7000}{0.8}\)
\(x=8750\)
So, the cost of the machine is 8750/-.
Now,
\(\text{Gross Loss}=\text{Cost}-\text{Selling price}\)
\(\text{Gross Loss}=8750-7000\)
\(\text{Gross Loss}=1750\)
Therefore, the gross loss is 1750/-.