Answer:
√17
Step-by-step explanation:
An irrational number is a number that cannot be expressed as a ratio of two integers. Or in other words, an irrational number can't be expressed as a fraction. You really cant divide one integer by another integer to get √17, so that makes it an irrational number.
if there are 95 male students for every 100 female students at northwest vista college to the nearest 0.1% what perecent of the students are female?
Answer:
5%
Step-by-step explanation:
Simplify 3(2x + y) using the distributive property.
Answer:
6x + 3y is ur answer so i think 9 or something idc
Step-by-step explanation:
First multiply everything by 3 to get
6x + 3y
Answer:
the solution is just 6x+3y
thats all
On a number line, point C is at 8, and the midpoint E of CD is at -3.
Point D is at
on the number line.
Answer: C
Step-by-step explanation:
Point D is at -14 on the number line.
How to determine the midpoint of a line segment?In Mathematics, the midpoint of a line segment with two end points can be calculated by adding each end point on a line segment together and then divide by two (2).
Since E is the midpoint of line segment CD, we can logically deduce the following relationship:
Line segment CD = Line segment C + Line segment D
Midpoint E = (point C + point D)/2
By substituting the given points into the equation above, we have the following:
-3 = (8 + D)/2
-6 = 8 + D
D = -6 - 8
D = -14
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The figure below is a net for a right rectangular prism.
11 m
13 m
11 m
7 m
11 m
11 m
What is the surface area of the right rectangular prism, in square meters?
The surface area of the right rectangular prism is given as follows:
358 m².
How to obtain the surface area?The surface area of a prism is obtained with the sum of the areas of each part of the prism.
The parts that compose the prism are given as follows:
Two rectangles of dimensions 7 ft and 12 ft.Two rectangles of dimensions 5 ft and 12 ft.Two rectangles of dimensions 5 ft and 7 ft.The area of a rectangle is given by the multiplication of each of the dimensions of the rectangle.
Hence the surface area of the prism is calculated as follows:
S = 2 x (7 x 12 + 5 x 12 + 5 x 7) = 358 m².
(multiplication by two due to the two rectangles with each of the dimensions).
Missing InformationThe prism is given by the image shown at the end of the answer.
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The difference of two numbers is 14. The sum of those numbers is 32,
Write a system of equations to represent the scenario.
Answer:
step explanation: 16+ 16 = 32
Joe decided to track the temperature in his town for five consecutive days. On Monday, the temperature was 23°C. On Tuesday, it decreased by 9°C and then increased by 7°C on Wednesday. On Thursday, the temperature rose 4°C and then decreased by 5°C on Friday. What was the overall temperature change over those five days?
Using a subtraction operation, the overall temperature change over those five days that Joe tracked the temperature in his town was a decrease of 3°C.
How is the temperature change computed?The temperature change can be computed by determining the differences in temperature from one day to the next and summing the differences.
The temperature change can also be computed by finding the difference between the ending period's temperature and the beginning period's temperature.
Days Temperature Change
Monday 23°C 0
Tuesday 14°C (23 - 9) -9
Wednesday 21°C (14 + 7) +7
Thursday 25°C (21 + 4) +4
Friday 20°C (25 - 5) -5
Overall change = -3°C
= 20°C - 23°C = -3°C
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Which one is greater
(458+231 ) x1/4
or (158+231)÷4
Answer:
(1) 172.25 is greater
Step-by-step explanation:
1. (458+231) x1/4
=>689/4
=> 172.25
2. (158+231)/4
=> 389/4
=> 97.25
Rita has a rope 5 m long. She cuts it into 2 pieces of length 2 m 30 cm and 1 m 65 cm.
a. What is the total length of 2 pieces together?
explain plz
Answer:
3m 95cm
Step-by-step explanation:
its... simple math? i added 2 and 1; and 30 and 65?
PLEASE HELP 50 POINTS!!
The sum of two consecutive numbers is 157. This equation, where n is the first number, represents the situation:
2n + 1 = 157.
What is the first number?
A. 77
B. 78
C. 79
D. 80
Hey guys can you help me with this math problem I'm stuck
The transformation of function y = |x| is g(x) = f(x + 4) + 2. The equation of transformed graph is y = |x + 4| - 2
What is a function?
An expression, rule, or law in mathematics that establishes the relationship between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.
Given function is y = |x|.
The vertex is (0,0). The vertex of the transformed function is (-4,-2)
It means the graph is shifted 4 units left sides and 2 unit downward direction.
The graph of f(x) is horizontally shifted by a units on left side then the equation function becomes f(x + a).
The graph of f(x) is horizontally shifted by a units on right side then the equation function becomes f(x - a).
The graph of f(x) is vertically shifted by a units upward then the equation function becomes f(x)+a.
The graph of f(x) is vertically shifted by a unit downward then the equation function becomes f(x)-a.
The equation of the transformed equation is g(x) = f(x + 4) - 2
g(x) = |x + 4| -2
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Bug S Bug S and Bug F is fast. Both bugs start at 0 on a number line and move in the positive direction. The bugs leave 0 at the same time and move at constant speeds. Four seconds later, F is at 12 and S is at 8. When will F and S be 100 units apart?
Answer:
Let's call the speed of Bug F v_F and the speed of Bug S v_S. Since both bugs started at 0, we can express their positions at any time t as:
Position of Bug F = 12 + v_F * t
Position of Bug S = 8 + v_S * t
To find out when F and S will be 100 units apart, we need to find the time t at which their positions differ by 100 units. In other words, we need to solve the following equation:
|12 + v_F * t - (8 + v_S * t)| = 100
We can simplify this equation by expanding the absolute value and rearranging the terms:
|4 + (v_F - v_S) * t| = 100
Now we can split this equation into two cases:
Case 1: 4 + (v_F - v_S) * t = 100
In this case, we have:
v_F - v_S > 0 (since Bug F is faster)
t = (100 - 4) / (v_F - v_S)
Case 2: 4 + (v_F - v_S) * t = -100
In this case, we have:
v_F - v_S < 0 (since Bug S is faster)
t = (-100 - 4) / (v_F - v_S)
Since we're only interested in positive values of t, we can discard the second case. Therefore, the time at which F and S will be 100 units apart is:
t = (100 - 4) / (v_F - v_S)
t = 96 / (v_F - v_S)
We don't know the values of v_F and v_S, but we can use the fact that Bug F is at 12 and Bug S is at 8, four seconds after they started. This gives us two equations:
12 = 4v_F + 0v_S
8 = 4v_S + 0v_F
Solving these equations for v_F and v_S, we get:
v_F = 3
v_S = 2
Substituting these values into the equation for t, we get:
t = 96 / (3 - 2)
t = 96
Therefore, F and S will be 100 units apart 96 seconds after they start.
a)while wages have increased, spending power has mostly remained the same since 2000
b) as wages go up, so does spending power
c) the spending power of men is less than the spending power of the overall population
d) the wages of women have increased faster than the wages of men
Based on the information, the answer is A). While wages have increased, spending power has mostly remained the same since 2000.
How to explain the informationThe fact that the cost of living has also increased, eating up much of the gains from wage growth. In addition, many Americans are now working multiple jobs, which can leave them with less time and energy to spend money on discretionary items.
According to the Bureau of Labor Statistics, the average hourly wage for all workers in the United States increased by 16.3% between 2000 and 2021. However, the Consumer Price Index (CPI), which measures the cost of a basket of goods and services, increased by 26.5% over the same period. This means that the purchasing power of the average worker has actually declined by 10.2% since 2000.
The rise of the gig economy has also contributed to the decline in spending power. Many Americans are now working multiple jobs, often in low-wage industries such as food service and retail.
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While wages have increased, spending power
a)has mostly remained the same since 2000
b) as wages go up, so does spending power
c) the spending power of men is less than the spending power of the overall population
d) the wages of women have increased faster than the wages of men
Suppose that a and b are integers with a < b How many numbers are in the list a, a+1, a+2.... b?
So I thought about doing a-(a-1) to get the first number to one so the list becomes 1,2,3 but i soon realized that does not work
The count of numbers in the list a, a+1, a+2.... b is b - a + 1
How to determine the count of numbers in the list a, a+1, a+2.... b?The list of numbers is given as:
a, a+1, a+2.... b
From the above list, we can see that the numbers are consecutive numbers.
This means that, the count of numbers in the list is
Count = Highest - Least + 1
Where
Highest = b
Least = a
Substitute the known values in the above equation
Count = b - a + 1
Hence, the count of numbers in the list a, a+1, a+2.... b is b - a + 1
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Based on the supply graph and the demand graph shown above, what is the price at the point of equilibrium?
Hint: Think about the point where they both meet. For example, if you were to place the graphs on top of each other, what would be the point of intersection?
Type the correct number below without the dollar sign.
Based on the supply graph and demand graph shown above, the price at the point of equilibrium is $ 30.
Demand refers to quantity of a commodity that the consumers are willing to, able to purchase at a given price during a given period of time. Supply refers to quantity of a commodity that the producers are willing to, able to offer for sale at a given price during a given period of time.
Demand curve slopes downward due to inverse relationship between price and quantity demanded whereas supply curve slopes upward due to direct relationship between quantity supplied and price. When both demand and supply curve intersect with each other balance is achieved. Intersection point between demand and supply curve is known as equilibrium.
At this point when prices are equal is known as equilibrium price and when quantiy demanded or supplied are equal it is known as equilibrium quantity. When we combine the given graph. Equilibrium is achieved at a point when price is equal to $ 30 and quantity is equal to 20 units.
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The carrying capacity of a drain pipe is directly proportional to the area of its cross- section. If a cylindrical drain pipe can carry 36 litres per second, determine the percentage increase in the diameter of the drain pipe necessary to enable it to carry 60 litres per second.
Step-by-step explanation:
Let's start by using the formula for the volume of a cylinder:
V = πr^2h
where V is the volume of the cylinder, r is the radius of the cylinder, h is the height of the cylinder, and π is a mathematical constant (approximately equal to 3.14).
Since we are dealing with a drain pipe, we can assume that the height of the cylinder is fixed and does not change. Therefore, we can rewrite the formula as:
V = πr^2h = Ah
where A is the cross-sectional area of the cylinder.
Now, let's use the given information that the drain pipe can carry 36 litres per second. We know that the volume of water that passes through the pipe in one second is equal to 36 litres. We can therefore write:
36 = Ahv
where v is the velocity of the water flowing through the pipe. Since we are assuming that the height of the cylinder is fixed, we can simplify this equation to:
36 = Av
Now we need to determine the percentage increase in the diameter of the drain pipe necessary to enable it to carry 60 litres per second. Let's call the new diameter d2 and the old diameter d1. We can set up a proportion to solve for d2:
A1/A2 = d1^2/d2^2
We know that A1 and A2 are proportional to the volumes of water the pipe can carry, so we can write:
A1/A2 = 36/60
Simplifying this equation, we get:
A1/A2 = 3/5
Substituting in the formula for the cross-sectional area of a cylinder, we get:
πd1^2/4 / πd2^2/4 = 3/5
Simplifying further, we get:
d1^2/d2^2 = 3/5
Taking the square root of both sides, we get:
d1/d2 = sqrt(3/5)
Now we can solve for d2:
d2 = d1 / sqrt(3/5)
We want to know the percentage increase in the diameter, which we can find using the formula:
% Increase = (New Value - Old Value) / Old Value x 100%
Substituting in our values, we get:
% Increase = (d1 / sqrt(3/5) - d1) / d1 x 100%
Simplifying, we get:
% Increase = (1 / sqrt(3/5) - 1) x 100%
Using a calculator, we get:
% Increase ≈ 34.64%
Therefore, the percentage increase in the diameter of the drain pipe necessary to enable it to carry 60 litres per second is approximately 34.64%.
d(v)=45, d(v)=1.1v+0.6v^2
Step-by-step explanation:
d(v)=1.1(45)+0.6(45)²
=1.1(45)+0.6(2025)
=49.5+1215
=1264.5
A recipe for pancakes requires 3/4 cup of oil. If Mr. Darcy wants to triple the recipe, how much oil will he need?
Angie divides the polynomial function by (x+3). What can she conclude from the fact that the remainder is equal to 0
Step 1
Given;
\(\begin{gathered} f(x)=x^3+3x^2-7x-21\text{ divided by (x+3)} \\ \end{gathered}\)Step 2
use synthetic division to simplify the problem
\(\begin{gathered} \text{coefficient of the }numerator \\ \end{gathered}\)1 3 -7 -21
\(Write\text{ the problem in synthetic division format}\)Hence the function can be rewritten as
\(\frac{(x+3)(x^2-7)}{(x+3)}\)Therefore the answer after will be;
\(x^2-7\)Since the remainder is 0, Angie can conclude that the dividend is divided evenly by the divisor and that the divisor is a factor of the dividend.
4. An average cigarette contains 1.5 mg of nicotine. The average smoker
smokes 15 cigarettes a day. How much nicotine does the average
smoker inhale a day?
Answer:
22.5 mg of nic
Step-by-step explanation:
1.5*15=22.5mg
don't smoke kids! (idc)
Need Help please, here is screenshot
1)
The axis of symmetry is x = -6.
2)
Vertex is (-6, 26).
3)
f(x) has a maximum value.
4)
f(x) is concave down.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 3 = 7 is an equation.
We have,
f(x) = -x² - 12x - 10
This is in the form of ax² + bx + c.
a = -1, b = -12, c = -10
The axis of symmetry is x = -b/2a
x = 12/(-2)
x = -6
Now,
f(x) = -x² - 12x - 10
f(x) = -(x² + 12x + 10)
f(x) = - { (x² + 12x + 36) - 36 + 10}
f(x) = -(x + 6)² + 26
This is in the form of f(x) = a (x - h)² + k
a = -1, h = -6, k = 26
Vertex = (h, k) = (-6, 26)
Now,
f(x) = -x² - 12x - 10
f'(x) = -2x - 12
f''(x) = -2
It is a negative value.
This means f(x) has a maximum value.
Now,
From the graph, we see that f(x) is concave down.
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Please someone help me
The third answer option provided matches with the correct calculation above: 125/54.(option-c)
To find the value of c that makes the function continuous at x = 0, we need to evaluate the left-hand limit and the right-hand limit at x = 0 and then set them equal to each other.
The left-hand limit of f(x) as x approaches 0 is given by:
lim x → 0- c(25x - 5sin(5x)) / x^3
Using L'Hopital's rule for finding the limit of an indeterminate form, we get:
lim x → 0- c(25 - 25cos(5x)) / 3x^2
lim x → 0- 25c/3
The right-hand limit of f(x) as x approaches 0 is given by:
lim x → 0+ c(9x^3) / x^3
lim x → 0+ 9c
Since the function is continuous at x = 0, the left-hand limit must equal the right-hand limit. Therefore:
25c/3 = 9c
Solving for c, we get:
c = 0 or c = 25/3
However, we need to evaluate the value of c at x = 0 as given in the question, which is:
f(0) = 9c
If we substitute c = 25/3, we get:
f(0) = 9(25/3) = 75
Therefore, the value of c that makes the function continuous at x = 0 and has the specified value at x = 0 is c = 25/3.
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100 Points! Algebra question, photo attached. Please show as much work as possible. Thank you!
A. The distributions of the periods is that using the five number summary is that
The 7th Period has higher minimum and lower maximumThe 3rd period is more spread (from the quartiles)The 7th Period has higher medianB. The box and whisker plot of the periods is attached
A. Comparing the distributions of the periodsFrom the question, we have the following parameters that can be used in our computation:
7th Period
66, 72, 77, 78, 78, 80, 82, 84, 84, 87, 88, 88, 89, 89, 90 92, 92, 93, 94, 94 96, 96
3rd Period
52, 60, 62, 64, 64, 65, 68, 71, 72, 74, 75, 76, 78, 79, 83, 84, 85, 88, 89, 93, 94, 97
The distributions of the periods will be compared using the five-number summaries
Using a graphing tool, the five-number summaries are:
7th Period
Minimum: 66Lower Quartile Q1: 79.5Median: 88Upper Quartile Q3: 92.25Maximum: 963rd Period
Minimum: 52Lower Quartile Q1: 64.75Median: 75.5Upper Quartile Q3: 85.75Maximum: 97B. Creating a box and whisker plot of the periodsThe box and whisker plot of the periods is added as an attachment
From the box and whisker plot attached, we can see the five-number summaries of the periods
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which of the following representations show y as a function of x
The option that is a representation that shows y as a function of x is the graph in option 2. The answer is B.
What is a Function?A function is any relation or table of values which may be represented in a graph that has only one possible y value that is assigned to each x-value.
The first option is not a function because x-value 0 has two corresponding y-values, 4 and 9.
In the third option, we also have two y-values, 5 and -5, that is assigned to one x-value, 0. So, it is not a function.
The graph in option 2 represents y as a function of x, because no two y-values is assigned to the same x-value.
The answer is: B.
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A coat and a pair of boots are on sale for 20% off. the regular price of the coat is 225$. the regular price of the boots is 130$. find the sale price of the coat. Explain. What is the sale price of the boots?
The sale price of coat is $180 and the sale price of boot is $284 when 20% off a coat and a pair of boots are now on sale.
Given that,
20% off a coat and a pair of boots are now on sale. The coat normally sells for $225. The boots cost $130 on the open market.
We have to find the coat's sale price and what is the cost of the boots on sale.
We know that,
The formula for the sales price is S = P - PD
Where, S is sales price, P is the original price and D is the discount percent.
P = 225 and D = 20%
S = 225 - 225 × 20%
S = 225 - 45
S = $180 is the sale price of coat.
Now,
Total regular price = 225 + 130 = 355
S = 355 - 355 × 20%
S = $284 is the sale price of boots.
Therefore, The sale price of coat is $180 and the sale price of boot is $284.
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$460, 2.5%, 4 years pleas help me this is due today!
Answer:
Intrest earned: $46
Step-by-step explanation:
I = prt
$460 x 0.025 x 4 = $46
Assume that body masses of Goldfinch birds follow a normal distribution with standard deviation equal to 0.04 oz. An ornithologist would like to make some inference about the average body mass of Goldfinch birds. In particular, she would like to create a formula to compute 70 % confidence interval formula for the average body mass of this specie. Her equipment allows her to sample 10 birds, using the 10 independent measurements CREATE the formula to generate 70% confidence intervals. Explain the crucial steps.
Answer:
The formula to generate 70% confidence interval is: \([\overline{x} - 0.013, \overline{x} + 0.013]\), in which \(\overline{x}\) is the sample mean.
Step-by-step explanation:
We have that to find our \(\alpha\) level, that is the subtraction of 1 by the confidence interval divided by 2. So:
\(\alpha = \frac{1 - 0.7}{2} = 0.15\)
Now, we have to find z in the Z-table as such z has a p-value of \(1 - \alpha\).
That is z with a pvalue of \(1 - 0.15 = 0.85\), so Z = 1.037.
Now, find the margin of error M as such
\(M = z\frac{\sigma}{\sqrt{n}}\)
In which \(\sigma\) is the standard deviation of the population and n is the size of the sample.
Assume that body masses of Goldfinch birds follow a normal distribution with standard deviation equal to 0.04 oz.
This means that \(\sigma = 0.04\).
Sample of 10 birds:
This means that \(n = 10\).
The margin of error is of:
\(M = z\frac{\sigma}{\sqrt{n}}\)
\(M = 1.037\frac{0.04}{\sqrt{10}}\)
\(M = 0.013\)
The lower end of the interval is the sample mean of \(\overline{x}\) subtracted by M.
The upper end of the interval is the sample mean of \(\overline{x}\) added to M.
Then, the formula to generate 70% confidence interval is: \([\overline{x} - 0.013, \overline{x} + 0.013]\), in which \(\overline{x}\) is the sample mean.
Describe the transformation between these two lines.
Answer:
To get black from red ...
scale by a factor of 3reflect over the x-axisshift left 1 unitshift up 4 unitsStep-by-step explanation:
You want the know the transformation that is applied to the red graph to make it be the black graph.
ObservationWe note that the vertex of the black graph is (-1, 4), which is 1 unit left and 4 units up from the vertex of the red graph.
The black graph opens downward, and has a slope of ±3 compared to the slope of ±1 for the red graph. This means it has been reflected across the x-axis and scaled by a factor of 3.
TransformationThe reflection and scaling can both be accomplished by multiplying the function by -3. The translation is accomplished by adding 4 to the function value to shift it up 4 units, and adding 1 to the x-value to shift the graph left 1 unit.
The transformations applied to the red graph are ...
scale by a factor of 3reflect over the x-axisshift left 1 unitshift up 4 unitsRhys will tile the rectangle below to find it’s area(3/10 foot, 4/5 foot). How many unit squares with side lengths 1/10 foot will Rhys use to tile the rectangle?
Okay, here we have this:
Considering the provided rectangle, we are going to calculate how many unit squares does he need, so we obtain the following:
First we will calculate the area of the given rectangle and then we will divide the area by the area of each tile that will be used, so we have:
Area of the rectangle=(3/10)*(4/5)=12/50=6/25ft^2
Tile area=(1/10)*(1/10)=1/100ft^2
Finally we will calculate the number of tiles by dividing the total area by the area of the tiles:
Number of tiles=(6/25ft^2)/(1/100ft^2)
Number of tiles=600/25
Number of tiles=24
Finally we obtain that the correct answer is the option A.
Mary, James and Carlos sold 1/4 page advertisements for the school yearbook. Mary sold twice as many as Carlos did, and James sold 3 times as many as Mary did. What fraction of these advertisements did Carlos sell?
Answer Choices
A. 1/9
B. 1/7
C. 1/6
D. 1/5
E. 1/3
Please explain how you got your answer!!
A fraction is a number that represents part of a whole, and therefore, it is not a whole number
The correct option for the fraction of the adverts Carlos did sell is option A.
A. 1/9
Reason:
Known parameter are;
Number of 1/4 page advertisement Mary sold = Twice the number of page advertisement Carlos sold
The number of 1/4 page adverts James sold = 3 times the number Mary sold
Let x represent the number of adverts Mary sold, ley y represent the number of adverts Carlos sold, and let z represent the number of adverts James sold, we have;
x = 2·yz = 3·x
Therefore, we have;
z = 2 × 3·y = 6·y
z = 6·yThe total number of adverts sold, N = x + y + zSubstituting x = 2·y, and z = 6·y, gives;
N = 2·y + 6·y + y = 9·yThe total number of adverts sold = 9·y
The number of adverts Carlos sold = y
\(The \ fraction \ of \ the \ advertisement \ sold \ by \ Carlos = \dfrac{y}{9 \cdot y} = \dfrac{1}{9}\)The correct option is A. 1/9
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Several years ago, Hugo bought some gold valued $1,000 per ounce. When he went to sell it, it was worth $1,381.90 per ounce. What was the percent of increase in the value of the gold?
Answer:
The answer would be 38.19%
Step-by-step explanation:
1000 x .3819 = 1,381.90