Given line A has a slope of m = -2/5, the slope of a line parallel to line A is m = -2/5
What is the slope of a line?The slope of a line y = mx + c where
m = slope of line and c = y - interceptIs given by m = Δy/Δx where
Δy = change in y and Δx = change in xHow to find the slope of a line [parallel to another line?Given a line y = mx + c where
m = slope of line and c = y - interceptAlso, given another line y' = m'x + c' where
m' = slope of line and c' = y - intercept.If y is parallel to y' then their slopes are equal. That is m = m'
How to find the slope of the line parallel to line A?Given that line A has a slope of m = -2/5, then by the condition above, the slope of a line paralllel to line A must also equal m.
So, the slope of a line parallel to line A is m = -2/5
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Find an equation of the circle that satisfies the given conditions.
endpoints of a diameter at (−1, 2) and (5, 8)
Answer:(x−3)2+ (y−5)2=5 8
Step-by-step explanation:
3. Simplify the expression 36+63÷9.
4. Find the product. (-3) × (-8) × (-7) × (-19) =
5. Multiply. 4.264 x 3.00273 =
Please explain how you did it i need this like right now
Answer:
3. 252
4. 3192
5. 12.80364072
Step-by-step explanation:
3. use PEMDAS so division first 63÷9=7
36*7=252
4. -3*-8=24
24*-7=-168
-168*-19=3192
5. Simply multiply and add decimal places
help please i need this for homework
Answer:
It costs 50
Step-by-step explanation:
I think this is right
How much of the circle is shaded? Write your answer as a fraction in simplest form.
Answer:
5/18
Step-by-step explanation:
1/2 × 9/9 = 9/18
2/9 × 2/2 = 4/18
This means we have 9/18 and 4/18 left in the circle. Because these fractions have a common denominator, we can now subtract them from the whole to find the shaded portion:
18/18 - 9/18 - 4/18 = 5/18
The shaded portion is 5/18, which is already in simplest form.
Lesson 19: Solutions to Inequalities in One Variable
Here is an inequality: 7x +6/2 < 3x +2
The values that are a solution to the inequality are x<-1/4.
What is inequality?The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to’, > ‘greater than’, or < ‘less than’.
Given:
The inequality are
7x +6/2 < 3x +2
According to given question we have
The expression is :
7x +6/2 < 3x +2
compare like terms we get
7x +6/2 < 3x +2
7x-3x<2-3
4x<-1
Divide both sides by 4 we get,
x<-1/4
Hence, the values that are a solution to the inequality are x<-1/4.
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A garden table and a bench cost $863 combined. The garden table costs $87 less than the bench. What is the cost of the bench?
Answer:
The bench costs $388.
Step-by-step explanation:
Let the cost of the bench be x
The cost of the garden table = x + 87
x + (x + 87) = 863
2x + 87 = 863
2x = 776
x = 388
The bench costs $388 and the garden table costs 388 + 87 = $475
475 + 388 = 863
On a test that has a normal distribution, a score of 45 falls two standard deviations above the mean, and a score of 30 falls three standard deviations below the mean. Determine the mean of this test.
The value of the mean is a 33.75 in the normal distribution.
According to the statement
We have to find that the students' favorite color was red.
So, For this purpose, we know that the
A mean is simply defined as the average of the given set of numbers.
From the given information:
On a test that has a normal distribution, a score of 45 falls two standard deviations above the mean, and a score of 30 falls three standard deviations below the mean.
Then
The interval for score = 45- 30= 15
If we divide it by the 4 standard deviations; the interval result into
= 15/4
= 3.75
Then, the standard deviation is 3.75, and
The mean = 30+ 3.75
The mean = 33.75
So, The value of the mean is a 33.75 in the normal distribution.
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Solve for x
-7>13-5r
Enter your answer as an inequality in the box.
Answer:
Step-by-step explanation:oooooooooooooooooooo
Answer:Move all terms not containing
x
to the right side of the inequality.
x
>
−
5
r
+
20
Step-by-step explanation:
PLEASE HELP WILL GIVE BRAINLIEST
AND 50 POINTS
The final answer in scientific notation with the correct number of significant digits, and label with the correct units is 4.1 * 10^6 square ft
Part A: If half of the field is used to grow crops, what is the area of the portion of the field that has crops growing?The dimensions of the field are given as
Length = 3.3 * 10^3
Width = 2.5 * 10^3
From the question, we have
Half of the field is used to grow crops
This means that the area of the portion of the field that has crops growing is
Area = 1/2 * Length * Width
So, we have
Area = 1/2 * 3.3 * 10^3 * 2.5 * 10^3
Evaluate the product
Area = 4.125 * 10^6
Part B: Write the final answer in scientific notation with the correct number of significant digits, and label with the correct units.In (a), we have
Area = 4.125 * 10^6
The units are 2 significant digits
So, the result must also have 2 significant digits
This means that
Area = 4.1 * 10^6 square ft (when approximated)
Part C: Explain how you chose the number of significant digits in the final answer.The units are 2 significant digits
So, the result must also have 2 significant digits
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(a) A cylindrical glass jar whose height is 7 inches and whose diameter is 4 inches. Find the
capacity of the jar.
The volume of the glass jar is 87.96 cubic inch.
What is volume?Volume is a unit used to express how much three-dimensional space is occupied. It is usually represented quantitatively in different imperial measures, such as the gallon, quart, and cubic inch, or in SI-derived units like the cubic meter and liter. The cubic concept of length and volume are connected.
Volume is a three-dimensional measurement that's used to gauge a solid shape's capacity. It implies that the volume of a closed form determines how much space it may occupy in three dimensions.
The capacity of the jar is calculated as
Volume of cylinder = [tex]\pi r^{2}h[/tex] = [tex]\pi (2^{2})7[/tex] = [tex]28\pi[/tex] = 87.96 cubic inch.
Hence the capacity of the glass jar is 87.96 cubic inches.
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Suppose that f(0)=-1 and f′(x)≤6 for all values of x. Use the Mean Value Theorem to determine how large f(4) can possibly be.
The maximum value of f(4) will be 23.
What is Mean value theorem?
Mean value theorem states that if a function f is continuous on the closed interval [a ,b] and differentiable on the open interval (a ,b), then there exists a point c in the interval (a, b) such that f'(c) is equal to the function's average rate of change over [a, b].
That is; [tex]f'(c) = \frac{f((b) - f(a)}{b - a}[/tex]
Given that;
⇒ f(0) = -1 and f′(x) ≤ 6 for all values of x.
Now, According to Mean value theorem;
[tex]f'(x) = \frac{f(4) - f(0)}{4 - 0}[/tex]
Since, f′(x) ≤ 6
Hence,
[tex]f'(x) \leq 6\\\\ \frac{f(4) - f(0)}{4 - 0}\leq 6\\\\ f(4) -(-1) \leq 24\\\\f(4) \leq 23[/tex]
So, The maximum value of f(4) will be 23.
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Which expression is equivalent to (4x−3y4)−2?
negative quantity 16 times x raised to the sixth power end quantity over y raised to the eighth power
−16x6y8
1 over quantity 16 times x raised to the sixth power times y raised to the eighth power end quantity
x raised to the sixth power over quantity 16 times y raised to the eighth power end quantity
The equivalent expression to (4x−3y⁴) × −2 will be = -8x + 6y⁴.
How to calculate the value?It should be noted that the information is to calculate the equivalent expression to (4x−3y⁴) × −2.
This will be:
= -2(4x−3y⁴)
= -8x + 6y⁴
It should be noted that the equivalent expression will be = -8x + 6y⁴.
It should be noted that the options aren't written properly but the question has been solved.
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How do you know what number is missing in the
number sentence below?
24 321 = 20 000 +
+300+
+1
A number system is defined as the representation of numbers by using digits or other symbols in a consistent manner. The missing numbers in the given number sentence are 4000 and 20.
What is Number system?A number system is defined as the representation of numbers by using digits or other symbols in a consistent manner.
The given number is
24321
This we can express in standard form as,
20000+4000+300+20+1.
The given expression is 20 000 +x+300+y+1.
If we compare the above expression with standard form of 24321 we get the values of x and y. so x is 4000 and y is 20.
The missing numbers in number sentence are 4000 and 20.
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If the probability of being hospitalized during a year is 0.25, find the probability that no one in a family of five will be
hospitalized in a year.
The probability that no one in a family of five will be hospitalized in a year 0.2373 .
Probability is a measure of the likelihood that an event will occur. Many events cannot be predicted with complete certainty. We can only predict the probability that an event will occur .Probabilities can range from 0 to 1. 0 means the event is not possible, 1 indicates the specific event. The formula for probability is given by P(E) + P'(E) = 1 ...(1) where P(E) is the event will happenLet P(E) denote the probability of being hospitalized during a year and P'(E) the probability of not being hospitalized during a year
Then , using equation (1) , we get
[tex]0.25+P'(E)=1\\P'(E)=1-0.25\\P'(E)=0.75[/tex]
The probability that no one in a family of five will be hospitalized in a year is equal to [tex](P'(E))^n[/tex] where n is the number of member .
[tex](P'(E))^n=(0.75)^5\\(P'(E))^n=0.2373[/tex]
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100 points.
A teacher is assessing the correlation between the number of hours spent studying and the average score on a music test. The table shows the data:
Number of hours spent studying
(x) (0, 0.5, 1, 1.5, 2, 2.5, 3, 3.5, 4)
Score on music test
(y) (60, 62, 64, 66, 68, 70, 72, 74, 76)
Part A: Is there any correlation between the number of hours students spent studying and the score on the music test? Justify your answer.
Part B: Write a function that best fits the data.
Part C: What does the slope and y-intercept of the plot indicate?
Part A: Yes, there is a correlation between the number of hours students spent studying and the score on the music test because As we increase the hours of studying by 0.5 hours, then the music score increases by 2.
Part B: A function that best fits the data is; y = 60 + 4x
Part C: The slope and y-intercept of the plot indicates that Y is the score obtained in music test and number of hours spent on studying.
How to find the correlation of line of best fit?We have given the table below showing the data:
Number of hours spent studying (x) 0 0.5 1 1.5 2 2.5 3 3.5 4
Score on music test (y) 60 62 64 66 68 70 72 74 76
A) As we increase the hours of studying by 0.5 hours, then the music score increases by 2.
B) The function which best fits the data for the correlation from the above is; y = 60 + 4x
C) The slope and y-intercept of the plot indicates that Y is the score obtained in music test and number of hours spent on studying.
The slope of the above equation represents the rate of increase in music score with respect to an increase in the number of hours spent on studying.
The y-intercept gives the music score when the number of hours spent on studying is zero.
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In a class of 32 children 18 like tennis 17 like swimming and 15 like cricket 8 like both tennis and cricket, 9 like both tennis and swimming, 6 like both tennis and cricket and 5 likes all three 1. How many like cricket only 2. How many like neither cricket tennis nor swimming 3. How many like tennis and cricket but not swimming
From the set given, the variables we look is as follows
number of children for cricket only = 6the number of children that like neither cricket tennis nor swimming is = 0the number of children that like tennis and cricket but not swimming 15How to find the required variablesCricket only
let the number of children for cricket be c = 15
cricket only = 15 - (8 - 5) - (6 - 5) - 5
= 15 - 3 - 1 - 5
= 6
neither cricket tennis nor swimming
tennis only = 18 - (8 - 5) - (9 - 5) - 5
= 18 - 3 - 4 - 5
= 6
swimming only = 17 - (6 - 5) - (9 - 5) - 5
= 17 - 1 - 4 - 5
= 7
tennis and swimming only = 9 - 5 = 4
tennis and cricket only = 8 - 5 = 3
swimming and cricket only = 6 - 5 = 1
tennis cricket and swimming = 5
cricket only = 6
neither cricket tennis nor swimming = all the children - sum of the variables found
= 32 - (6 + 6 + 7 + 4 + 3 + 1 + 5)
= 32 - (32)
= 0
tennis and cricket but not swimming
= tennis and cricket only + cricket only + tennis only
= 3 + 6 + 6
= 15
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Find sin 0 and tan 0 if cos 0= 5/13, assuming that
[tex]0 \leqslant 0 < \ \frac{\pi}{2} [/tex]
sin( θ) = 12/13 and tan( θ) = 12/5.
sin θ, cos θ, tan θ are the three important trigonometry functions.
If θ lies in the first quadrant that is 0 ≤ θ < π/2, then the value of all trigonometry functions is positive.
The three most significant trigonometry functions are sin θ, cos θ, and tan θ.
If θ is located in the first quadrant, which is equal to θ/2, then all trigonometric functions have positive values.
The three important trigonometry identities are:
sin²( θ ) + cos²( θ ) = 1
1 + tan²( θ ) = sec²( θ )
1 + cot²( θ ) = csc²( θ )
Now we have,
cos θ = 5/13
Then,
sin²( θ ) + cos²( θ ) = 1
sin²( θ ) + ( 5/13 )² = 1
sin²( θ ) + 25/169 = 1
sin²( θ ) = 1 - 25/169
sin²( θ ) = ( 169 - 25)/ 169
sin²( θ ) = 144/ 169
sin( θ ) = √( 144/ 169 )
sin( θ ) = ± 12/13
Since, 0 ≤ θ < π/2
sin( θ ) = 12/13
Now we know,
tan(θ) = sin(θ) / cos(θ)
tan(θ) = ( 12/13 ) / ( 5/13)
tan(θ) = 12/5
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Ted has started an 401k. His current income tax bracket is 30%. He is saving $172 a month by putting it into his 401k. Find how much income tax will Ted delay in paying every month by putting his money into an 401k. How much will Ted's take home pay decrease each month?
Income tax will Ted delay in paying every month by putting his money into a 401k is $51.6.
Income taxes are levied against individuals or groups based on their earnings or profits. Income taxes are normally calculated by multiplying tax rates by taxable income. Depending on the characteristics of the taxpayer and their source of income, tax rates may vary.
Ted started a 401k account.
The income tax bracket is 30%.
Ted's saving $172 every month in a 401k account.
The income tax that Ted will delay in paying every month will be:
= 172 × 30%
= $51.6
Hence, Ted's take-home pay will decrease by $51.6 each month.
The tax Ted will delay in paying every month is $51.6.
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Active dry yeast and bread machine yeast were not available in stores during the coronavirus pandemic. Fleischmann’s attempted to staff two shifts to produce enough active dry yeast to put some yeast back on the market. If the first shift produced 1½ times as many yeast packets as the second shift, and 5,600 packets of yeast were produced during the month, how many packets of yeast were produced on each shift
Based on the rate of the production of yeast packets by the two shifts of Fleischmann’s, the packets produced in each shift were:
First shift - 3,360 packets Second shift - 2,240 packets What number of yeast packets were produced?Assuming that the number of yeast packets produced in the second shift is x, the number produced in the first shift would be:
= 1½ × x
= 1.5x
The number of yeast packets in the second shift is:
x + 1.5x = 5,600
2.5x = 5,600
x = 5,600 / 2.5
= 2,240 packets
The number of yeast packets in the first shift is:
= 2,240 x 1.5
= 3,360 packets
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Is y= 2/3 (x) a linear equation
This is due tomorrow. +10 points
The fitness center requires its swimming pool to be within 2 degrees of 85 degrees Fahrenheit.
a.) Which inequality can be used to find the least and greatest temperatures that meet this requirement? Use the inequality to find these temperatures.
A x − 85 ≤ 2
C |x−85|≥2start absolute value x minus 85 end absolute value is greater than or equal to 2
B x − 2 ≤ 85
D |x − 85| ≤ 2
b.) The least allowable temperature is ____ degrees Fahrenheit.
The greatest allowable temperature is ____ degrees Fahrenheit.
The inequality that can be used to find the least and greatest temperatures that meet this requirement is D. x − 2 ≥ 85
The least allowable temperature is 83° degrees Fahrenheit.
The greatest allowable temperature is 87 degrees Fahrenheit.
How to illustrate the inequality?From the information, the fitness center requires its swimming pool to be within 2 degrees of 85 degrees Fahrenheit.
In this case, the inequality that can be used to find the least and greatest temperatures that meet this requirement is D. x − 2 ≥ 85.
The least allowable temperature is:
= 85 - 2
= 83° degrees Fahrenheit.
The greatest allowable temperature is:
= 85 + 2
= 87 degrees Fahrenheit.
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Bob's Bagels sells 10 bagels for $11.00, and Donny's Bagels sells 4 bagels for $3.00. Which is the better deal? Answer the questions to find out.
What fractions do you compare to find the better deal
Answer:
11/10 and 3/4
Step-by-step explanation:
To find the better cost, you need to determine which options has a lower cost per bagel.
In the cost function below, C(x) is the cost of producing x items. Find the average cost per item when the required number of items is produced.
C(x)x
a. 200 items b. 2000 items c. 5000 items
16=3(7y+14)-21y solve for y then solve for x
x=7y+14
Answer:
I got y= no solution
Step-by-step explanation:
Hope this helps and sorry if I'm wrong
One boxer weighs in at 91 kg. He is 100 dag heavier than his opponent. How much does his opponent weigh in kilograms ?
Answer:
unlimited is the weight
Step-by-step explanation:
Weight : 58283624946946784640469267619046404.4691649469464846404694956596894
Sean used ¾ cup of sugar to make a dozen brownies. How much sugar is in each brownie? How many cups ?
Based on the fact that Sean made a dozen brownies with 3/4 cups of sugar, the amount of sugar in each brownie is 1 / 16 cups of sugar
How to find the quantity of sugar?A dozen brownies were made with 3/4 cups of sugar. This means that 12 brownies were made by using 3/4 cups of sugar.
To find the amount of sugar used per brownie, the formula is:
= Number of cups of sugar / Number of brownies made
Solving for the cups of sugar per brownie gives:
= 3/4 ÷ 12
= 0.75 / 12
= 0.0625
= 1 / 16 cups of sugar
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(-5,8)(9,29) find the slope
Answer:
3/2
Step-by-step explanation:
29-8=21
9-(-5)=14
21/14 =3/2
Evaluate 3 + 2(x + 5)² for x = -2.
OA. 18
OB. 45
OC. 21
OD. 11
Answer:
The answer is C
Step-by-step explanation:
If you substitute -2 for x, then you get
3+2(-2+5)^2
so first we have -2+5, which is 3.
Then we hae 3^2, which is 9.
Then we have 9*2, which is 18.
Then we have 18+3, which equals 21.
Answer:
21
Step-by-step explanation:
The answer is 21
Hope this help you..
What is the value of y?
Answer:
C: 88
Step-by-step explanation:
There is a triangle that contains y, 53°, and 39°. So by this, you know that y + 53 + 39 = 180 (sum of triangle angles).
y = 180 - 53 - 39
y = 88°
Hope this helps! :)
3/4(6x + 2) = 15
Help me please