Answer:
-7,9
Step-by-step explanation:
x-1=-8
x=-7
x-1=8
x=9
Please help me ASAPPPPP
Answer:
20 0-6
Step-by-step explanation:
x= (2,0)
y= (0,-6)
What is the inverse for the function f(x)=10-4x
Answer:
f^-1=5/2-x/4
Step-by-step explanation:
y=10-4x
interchange the variables
x=10-4y
4y=10-x
y=5/2-x/4
so f^-1= 5/2-x/4
Find the measure of
Answer:
A
Step-by-step explanation:
28 + 39 + 86 = 153
180 - 153 = 27
Determine the number of proper subsets contained in P if P={x| x is an odd, negative integer and x > −20}.
The number of proper subsets contained in P if P={x| x is an odd, positive integer and x < 20} is 1023.
How to illustrate the information?It should be noted based on the information, the value of P will be:
= P(x is an odd, positive integer and x < 20}
P = (1, 3, 5, ,7, 9, 11, 13, 15, 17, and 19)
Therefore, it should be noted that there are 10 numbers.
Therefore, the number of subsets will be:
= 2^n - 1
= 2^10 - 1
= 1023
Therefore, the number of proper subsets contained in P if P={x| x is an odd, positive integer and x < 20} is 1023.
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Determine the number of proper subsets contained in P if P={x| x is an odd, positive integer and x < 20}.
R is between Q and S. if RS = 44.6 and SQ = 68.4, find QR
Find the smallest whole number by which 16087 should be multiplied or divided to get a perfect square
There is no whole number by which you can multiply or divide 16087 to make it a perfect square.
To determine by which number you should multiply or divide 16087 to make it a perfect square, we can analyze its prime factorization. The prime factorization of 16087 is 13 × 1237.
In order to make 16087 a perfect square, we need each prime factor to have an even exponent. However, when we examine the prime factors of 16087, we find that both 13 and 1237 have an exponent of 1.
To make the exponents even, we need to multiply or divide 16087 by additional prime factors and their respective exponents. However, since 16087 is a product of two prime numbers (13 and 1237), we cannot introduce any additional prime factors to make the exponents even.
A perfect square is a number that can be expressed as the product of two equal factors. In the case of 16087, it cannot be transformed into a perfect square by multiplying or dividing by any whole number. The prime factors 13 and 1237 remain with an exponent of 1 each, indicating that there is no integer that can be applied to make them equal and convert 16087 into a perfect square.
Therefore, there is no whole number by which you can multiply or divide 16087 to make it a perfect square.
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1:1.2 as a fraction pls tell me in one minute
Hello!
the answer is 83/100!
Hopefully this helps ^^
How to find c( -1 in a relationship c graph
y and x graph
Step-by-step explanation:
Solve for x (PLZ HELP ASAP)
Answer:
3
Step-by-step explanation:
Since angles JUV and TUJ together make up angle TUV, their angle measures added together must also be equal to that of TUV.
35x+18x+4=163
53x+4=163
53x=159
x=3
Hope this helps!
Answer:
18x + 4 + 35x = 163
Add like terms,
53x + 4 = 163
- 4. -4
53x = 159
÷53. ÷53
x = 3
Graph the following system of inequalities. y ≥ 1 3 x − 2 y ≤ − 4 x − 2 A line passes through (6, 0) and (0, minus 2). Another line passes through (0.5, 0) and (0, minus 2). Both intersect at (0, minus 2) to form a blue shaded portion on the top left side W. A line passes through (6, 0) and (0, minus 2). Another line passes through (minus 0.5, 0) and (0, minus 2). Both intersect at (0, minus 2) to form a blue shaded portion on the top left side X. A line passes through (0.5, 0) and (0, minus 2). Another line passes through (minus 0.5, 0) and (0, minus 2). Both intersect at (0, minus 2) to form a blue shaded portion on the left side Y. A line passes through (6, 0) and (0, minus 2). Another line passes through (minus 0.5, 0) and (0, minus 2). Both intersect at (0, minus 2) to form a blue shaded portion on the bottom left side Z. A. X B. Y C. Z D. W
The blue shaded portion on the top left side is described as forming lines pass through (6, 0) and (0, -2) and intersect at (0, -2).
This corresponds to the shaded portion W. D.
To graph the system of inequalities y ≥ 1/3x - 2 and y ≤ -4x - 2, we will plot the lines corresponding to each inequality and shade the region that satisfies both inequalities.
First, let's graph the line y = 1/3x - 2.
We can find two points on this line and connect them with a straight line:
Using (6, 0):
y = 1/3(6) - 2
y = 2 - 2
y = 0
So we have the point (6, 0).
Using (0, -2):
y = 1/3(0) - 2
y = -2
So we have the point (0, -2).
Plotting these two points and drawing a line through them, we get a line labeled as Line 1.
Next, let's graph the line y = -4x - 2 using the same process:
Using (0.5, 0):
0 = -4(0.5) - 2
0 = -2 - 2
0 = -4
So we have the point (0.5, 0).
Using (0, -2):
-2 = -4(0) - 2
-2 = -2
So we have the point (0, -2).
Plotting these two points and drawing a line through them, we get a line labeled as Line 2.
Now, we need to shade the region that satisfies both inequalities.
The shaded region will be the region where Line 1 is above Line 2.
Based on the given descriptions of the shaded portions W, X, Y and Z we can determine the correct option.
The blue shaded portion on the top left side is described as forming when lines pass through (0.5, 0) and (0, -2) and intersect at (0, -2).
This corresponds to the shaded portion X.
The blue shaded portion on the left side is described as forming when lines pass through (0.5, 0) and (0, -2) and intersect at (0, -2).
This corresponds to the shaded portion Y.
The blue shaded portion on the bottom left side is described as forming when lines pass through (6, 0) and (0, -2) and intersect at (0, -2).
This corresponds to the shaded portion Z.
Based on this information, we can determine the correct option:
A. X
B. Y
C. Z
D. W
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Find the upper 20%of the weight?
Answer:
The upper 20% of the weighs are weights of at least X, which is \(X = 0.84\sigma + \mu\), in which \(\sigma\) is the standard deviation of all weights and \(\mu\) is the mean.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Upper 20% of weights:
The upper 20% of the weighs are weighs of at least X, which is found when Z has a p-value of 0.8. So X when Z = 0.84. Then
\(Z = \frac{X - \mu}{\sigma}\)
\(0.84 = \frac{X - \mu}{\sigma}\)
\(X = 0.84\sigma + \mu\)
The upper 20% of the weighs are weights of at least X, which is \(X = 0.84\sigma + \mu\), in which \(\sigma\) is the standard deviation of all weights and \(\mu\) is the mean.
help help help help help help help
1- 1 1/2
2- 5.3
3- t=5
t=15
t=6
write an equation of the line in slope-intercept form where slope equals 1/4 and y-intercept equals 0, - 5
Answer:
\(y=\frac{1}{4}x-5\)
Step-by-step explanation:
Write an equation of the line in slope-intercept form where slope equals 1/4 and y-intercept equals 0, - 5
Slope-intercept form: y = mx + b
m = slope
b = y-intercept (when x = 0)
Ex:
y = 5x + 2
m = 5b = (0, 2)For our problem:
\(y=\frac{1}{4}x-5\)
m = \(\frac{1}{4}\)b = (0, -5)Hope this helps!
find the percent if the whole is 4700 and the part is 305 and one half.
round to nearest tenth
Answer:
6.5%
Step-by-step explanation:
305.5/4700=0.065=6.5%
Yoni has a ribbon that measures 5/3 yards. She wants to cut it into 3 equal pieces. What is the length of each piece of ribbon? 5\8 yards 5/6 yards 5/9 yards 5/3 yards
Answer:
Step-by-step explanation:
\(\frac{1}{3} * \frac{5}{3} = \frac{1 * 5}{3*3} = \frac{5}{9}\)
The answer is 5/9 as you can see. 5/9 = 20 inches each.
1 yard = 36 inches
(5/9 * 36) = 5 * 4 = 20 inches.
Answer:
5/9
Step-by-step explanation:
I have a trick id like to teach here. Whenever you have a fraction being divided by a whole number, you can multiply the denominator by the diviser
So what I did was multiply the 3 by the diviser(3) and got 9
This left me with 5/9
Identify the level of measurement of the data, and explain what is wrong with the given calculation. In a set of data, mood levels are represented as 0 for bad, 1 for OK, and 2 for good. The average (mean) of the 637 mood levels is 0.9.
The data are at the______ of measurement.
a. ordinal
b. nominal
c. interval
d. ratio
Answer:
a. ordinal
Step-by-step explanation:
A level of measurement refers to a classification which is used to illustrate the attributes of the values assigned to variables. Basically, there are four (4) levels of measurement for a variable and these are;
1. Ratio: data can be arranged in an ordering scheme and subtracting its differences is meaningful with respect to the value of true zero. Examples are height, price, weight, distance etc.
2. Nominal: is characterized by data that are non-numerical, comprises of categories, labels or names and can't be arranged in an ordering scheme.
3. Interval: data can be arranged in an ordering scheme and subtracting its differences is meaningful. Examples are year, temperature, time etc.
4. Ordinal: data can be arranged in an ordering scheme but subtracting its differences is meaningless or impossible. Examples are happy, sad etc.
Therefore, the data are at the ordinal level of measurement because mood levels were represented as 0 for bad, 1 for OK, and 2 for good.
However, what is wrong with these given calculation; "average (mean) of the 637 mood levels is 0.9." is that the data presented in the question cannot be used to find an average (mean) because the various mood levels were not stated or given, which is a prerequisite for calculating the average (mean) of a population.
Two sides of a triangle have the same length. The third side measures 5 m less than twice the common length. The perimeter of the triangle is 23 m. What are the lengths of the three sides?
What is the length of the two sides that have the same length?
Answer:
Length of all 3 sides: 7, 7, and 9
Length of the two sides that have the same length: 7
Step-by-step explanation:
Let the two sides with equal lengths have a length of \(x\). We can write the third side as \(2x-5\).
The perimeter of a polygon is equal to the sum of all its sides. Since the perimeter of the triangle is 23 meters, we have the following equation:
\(x+x+2x-5=23\)
Combine like terms:
\(4x-5=23\)
Add 5 to both sides:
\(4x=28\)
Divide both sides by 4:
\(x=\frac{28}{4}=\boxed{7}\)
Therefore, the three sides of the triangle are 7, 7, and 9 and the length of the two sides that have the same length is 7.
WEEK 2 Direction: Answer the following problems. 1. Jun wanted to know how much ice cream he got in on scoop. The radius of a scoop is 2 inches. Find the volum Use 3.14 for pi. (SHOW YOUR SOLUTION) a) What is asked in the problem? b) What are the given facts? c) What is the formula to be used? d) Number Sentence e) Final answer. (show your solution pls)
We are given the radius of the scoop and asked to find the volume of ice cream in one scoop. By using the formula for the volume of a sphere and substituting the given radius, we can calculate the volume. The final answer is approximately 33.49 cubic inches.
a) The problem asks for the volume of ice cream in one scoop.
b) The given fact is that the radius of the scoop is 2 inches.
c) The formula to be used is the volume of a sphere, which is given by V = (4/3)πr³, where V is the volume and r is the radius.
d) Number Sentence:
- Given: Radius (r) = 2 inches
- Formula: V = (4/3)πr³
- Substituting the value: V = (4/3)π(2)³
- Simplifying: V = (4/3)π(8)
- Evaluating: V = (4/3)(3.14)(8)
- Multiplying: V = 33.49333333 (approx.)
e) Final answer: The volume of ice cream in one scoop is approximately 33.49 cubic inches.
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Mia took a taxi from her house to the airport. The taxi company charged a pick-up fee of $1.30 plus $4.25 per mile. The total fare was $31.05, not including the tip. How many miles was the taxi ride?
The taxi ride was 7 miles
How to calculate the number of miles ?Mia took a taxi from her house to the airport
The taxi charged a pick up fee of $1.30
They also charged $4.25 per mile
The total fare was $31.05
The number of miles can be calculated as follows
31.05 - 1.30 = 4.25x
29.75= 4.25x
Divide both sides by the coefficient of x which is 4.25
29.75/4.25= 4.25x/4.25
x= 7
Hence the taxi ride was 7 miles
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Find the value of x in the parallelogram
The value of x in the parallelogram is 112°.
In a parallelogram, adjacent angles are always supplementary. This means that the sum of two adjacent angles in a parallelogram is always 180 degrees.
To understand this concept, let's consider a parallelogram ABCD. The opposite sides of a parallelogram are parallel and equal in length, and the opposite angles are congruent. Adjacent angles are those that share a side. Let's say angle A and angle B are adjacent angles in the parallelogram.
Since opposite angles of a parallelogram are congruent, we have angle A is congruent to angle C, and angle B is congruent to angle D.
Now, let's consider angle A and angle B. The sum of angle A and angle B is equal to the sum of angle C and angle D because opposite angles are congruent.
Therefore, we can conclude that angle A + angle B = angle C + angle D = 180 degrees.
This property holds true for all parallelograms. So, in any parallelogram, the adjacent angles are always supplementary, meaning their sum is 180 degrees.
For the given question, we know x° + 68° = 180°.
Then x° = 180° - 68°
x° = 112°
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NEED HELP ASAP!!! Angles of Elevation and Despression! Need to find y!
Answer:
Hey there!
We have cosine 61=y/500
cosine 61(500)=242.4 ft.
Let me know if this helps :)
In a lab experiment, 830 bacteria are placed in a petri dish. The conditions are such that the number of bacteria is able to double every 28 hours. How many bacteria would there be after 13 hours, to the nearest whole number?
Answer:
after 13 hours, there would be approximately 1,252 bacteria in the petri dish.
Step-by-step explanation:
Here are the steps to solve this problem:
Identify the given information. We are told that there are 830 bacteria in a petri dish and that the number of bacteria can double every 28 hours.
Write the formula for exponential growth. In this case, we are dealing with exponential growth because the number of bacteria is doubling over time. The formula for exponential growth is:
N = N0 * 2^(t/k)
where N0 is the initial amount, N is the amount after time t, and k is the time it takes for the amount to double.
Substitute the given values into the formula. We can plug in N0 = 830, t = 13, and k = 28 into the formula to get:
N = 830 * 2^(13/28)
Solve the equation. We can use a calculator or perform the calculation by hand to get:
N ≈ 1,251.7
Round to the nearest whole number. Since we're asked to round to the nearest whole number, we can look at the decimal part of the answer and round up or down as appropriate. In this case, the decimal part is 0.7, which is greater than or equal to 0.5, so we round up to get:
N ≈ 1,252
Therefore, after 13 hours, there would be approximately 1,252 bacteria in the petri dish.
Explanation:
The formula we use is
y = a*2^(x/b)
where,
a = starting amount = 830b = doubling time = 28So we update things to get y = 830*2^(x/28)
The last step is to plug in x = 13 to get
y = 830*2^(13/28) = 1145.09631988669 approximately
That rounds to 1145 when rounding to the nearest whole number.
The cost for ground shipping with FedEx and UPS varies. UPS charges $8.25 initially,
and then $0.20 per pound. FedEx initially charges $9.50 and then $0.16 per pound.
Write the equation to find the number of pounds when the costs of shipping with UPS
and FedEx are the same. (Let the number of additional pounds = x.)
The number of pounds when the costs of shipping with UPS and FedEx are the same is 31.25 pounds.
Based on the information given, the cost for ground shipping with FedEx will be 9.50 + 0.16x
The cost for ground shipping with UPS will be 8.25 + 0.20x
Therefore, in order to know the number of pounds when the costs of shipping with UPS and FedEx are the same, we'll have to equate both equations and this will be:
8.25 + 0.20x = 9.50 + 0.16x
Collect like terms
0.20x - 0.16x = 9.50 - 8.25
0.04x = 1.25
x = 1.25/0.04
x = 31.25
Therefore, at 31.25 pounds, the costs of shipping with UPS and FedEx are the same.
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Answer:
9.50 + 0.16x = 8.25 + 0.20x
Step-by-step explanation:
Using Compound Interest, calculate the principle and interest earned (final
balance/principal
and interest) if:
Principle=$2,000
Interest Rate=8.5%
Time=10 years
Interest Calculated Quarterly
Answer: 20,085
Step-by-step explanation: 2,000x10=20,000. 8.5x10=85. 20,000+85=20,085.
I hope I got this right and if I did it right.
NEED HELP FAST HURRY FAST 30 POINT PLZZZZZZZ
The map shows the locations of skirmishes and battles during the Atlanta Campaign of the Civil War.
John has measured some distances on the map. Atlanta and Kingston are 2.5 cm apart, and Kingston and Ringgold are 3.5 cm apart. If the actual distance from Atlanta to Kingston is 60 miles, what is the actual distance from Kingston to Ringgold?
A) 78 miles
B) 84 miles
C) 92 miles
D) 106 miles
Answer:
The actual distance is 78 miles.
Step-by-step explanation:
please answer this for me love
Answer:
Step-by-step explanation:
x-intercept is the 3rd box, and y-intercept is the 6th box
Choose the most reasonable unit of measure.
3) Area of a baseball infield: 925
A) mm² B) km² C) m² D) cm²
4) Area of a lake: 4
A) mm² B) km² C) m² D) cm²
5) Area of a door: 20
A) yd² B) in.² C) ft² D) mi²
The most reasonable unit of measurement for 3) is option (C): \(m^2\), 4) is option (B): \(km^2\), 5) is \(in^2\).
3) The most reasonable unit for the measurement of the baseball field is \(m^2\) because the baseball field covers a large distance which is not accurately measured by small units \(cm^2\) or \(mm^2\) where it is not that big to be measured in large units like \(km^2\). So option C is the correct option.
4) The most reasonable unit for the measurement of a lake is \(km^2\) because lakes are generally very large water bodies that cover a large distance and are not accurately measured by small units like \(cm^2\) , \(mm^2\) , and \(m^2\). So option B is the correct option.
5) The most reasonable unit for the measurement of the area of a door is \(in^2\) because doors are relatively small compared to the other options and are often measured in square inches or square feet. So option B is the correct option.
Therefore the correct answers question-wise are:
3) \(m^2\)
4) \(km^2\)
5) \(in^2\)
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5. You buy a boat for $35,000 that * 10 points
depreciates in value at about 17%
per year. How much will it be worth
in 3 years?
Your answer
Answer:
9000
Step-by-step explanation:
Match the justifications for each step in order to prove the Alternate Interior Angles Theorem. Note that lines p and q are parallel. p∥q
∠1≅∠7
∠1≅∠3
∠3≅∠7
Answer:
Option (3)
Step-by-step explanation:
There are two parallel lines 'p' and 'q' and a transversal line is intersecting these lines at two distinct points.
Each pair of angles formed on the inner side of the parallel lines but opposite sides of the transversal line are the alternate interior angles.
Pair of angles (∠2 and ∠6) and (∠3 and ∠7) are the alternate interior angles.
Since, alternate interior angles are equal in measure,
∠2 ≅ ∠6
∠3 ≅ ∠7
Option (3) will be the answer.
which inequality does the graph represent?
A. y<-x-1
B. y<-x+1
C. y
D. y
Answer:
B) y < -x + 1
Step-by-step explanation:
you can see from the x-and-y intercepts that the equation of this line is:
y = -x + 1
now you must determine whether the equal sign should be replaced with '<' or '>'
you can use the point (0,0) to see if that makes y > -x + 1 true or false:
0 > 0+1 This is False
so the answer should be: y < -x + 1