Answer:
8n-7
Step-by-step explanation:
distribute the 2 so you get 8n-10
then you add 3 to negative 10 and you get negative 7
Solve the absolute value equation. Ix - 2|-7=-3
Combine any like terms in the expression. If there are no like terms, rewrite the expression. 10f + 6 + 5-8
The expression when evaluated is 10f + 3
How to evaluate the expressionFrom the question, we have the following parameters that can be used in our computation:
10f + 6 + 5-8
Collect the like terms
So, we have the following representation
10f + 6 + 5-8 = 10f + 6 + 5-8
Evaluate the like terms in the expression
So, we have the following representation
10f + 6 + 5-8 = 10f + 3
Hence, teh expression is 10f + 3
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i need help asap!! please
Answer:
C. f^-1(x) = 1/5 x
Step-by-step explanation:
f(x) = 5x
y = 5x
x = 5y
y = 1/5 x
Answer: C. f^-1(x) = 1/5 x
Answer:
C,\(\frac{1}{5} x\)
Step-by-step explanation:
This is because anything to the power of a negative, always turns to a fraction because you cannot have a negative fraction. It will turn positive if you put \(\frac{1}{x}\), or that number (x). Since there is a 1 as the negative exponent, you do not need to show it as u do for other ones such as:
\(\frac{1}{x^{2} }\) which is \(x^{-2}\).
Hope it Helps!
(Plz give me brainliest)
Pleasee helpppppppppppppppppppppppppp
Answer:
it is D I hope this helps you out!
3x² + 15x-5) •/. (x + 5)
Divide using synthetic division
The angles that share the same sine value as sin(45°) have terminal sides in quadrant .
The angles that share the same sine value as sin(45°) have terminal sides in second quadrant .
The sine function relates the ratio of the length of the side opposite an acute angle to the length of the hypotenuse of a right triangle. The sine of an angle is always between -1 and 1.
The sine of 45 degrees is √2/2, which is a positive value. Since the sine of an angle is positive in the first and second quadrants, the angles that share the same sine value as sin(45°) must have their terminal sides in the first or second quadrant.
To find the angles that have the same sine value as 45 degrees, we can use the inverse sine function, also known as the arcsine function. The arcsine of √2/2 is 45 degrees or π/4 radians, which is an angle in the first quadrant.
However, since the sine function is periodic, there are infinitely many angles with the same sine value as 45 degrees, and they are all separated by integer multiples of 360 degrees or 2π radians.
Therefore, the angles that share the same sine value as sin(45°) have terminal sides in second quadrant, and can be represented by the formula:
θ = n(360°) ± 45°
or
θ = n(2π) ± π/4
where n is an integer.
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Answer: ( ll ) edgen
Step-by-step explanation:
A stairway handrail has a rise of 12 feet and a run of 24 feet. What is the slope of the handrail?
Answer:
1/2
Step-by-step explanation:
12 / 24 = 1/2
Answer:
12/24
Step-by-step explanation:
use the stander rise over run since the rise is 12 it goes over the run which is 24
PLEASE HELP ITS DUE IN 20 MINUTES
Answer/Step-by-step explanation:
\(-\frac{8}{27} a^{15} = (-\frac{2}{3})^{3} * (a^3)^5 = (-\frac{2}{3} a^{5})^3\)
I hope this helps!
Assuming that the long-run demand for oranges is the same as the short-run demand, you would expect a binding price ceiling to result in a________ that is_________in the long run than in the short run.(Surplus/Shortage) (Larger/Smaller)
If the long-term demand for oranges is the same as the short-term demand, a binding price ceiling will result in a shortage that is larger in long-run demand than the short-run demand. So the answers are shortage and larger.
A shortage occurs when there is a difference between the quantity that is supplied and the quantity that is required of a product, service, or resource. Surplus is a term used to describe situations where there is more supply than demand for a product, service, or resource.
So when the long-run demand is the same as the short-run demand, binding price ceilings typically result in a shortage when there is a lack of supply of products. And, the result will be larger in the case of the long run compared to the short run. Therefore, the first blank can be filled with shortage and the second blank with larger.
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At a baking competition, 0.5 dishes were cooked by Room 102, 3/10 were cooked by Room 104, and 1/5 were cooked by Room 106. What fraction of the dishes were cooked by Rooms 102 and 104? Express your answer in the simplest form.
The fraction of the dishes were cooked by Rooms 102 and 104 is 4/5
Addition of fractionDishes cooked by Room 102 = 0.5 = 1/2Dishes cooked by Room 104 = 3/10Dishes cooked by Room 106 = 1/5Fraction of the dishes were cooked by Rooms 102 and 104 = 1/2 + 3/10
= (5+3) / 10
= 8 / 10
= 4 / 5
Therefore, the fraction of the dishes were cooked by Rooms 102 and 104 is 4/5 in the simplest form
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I have 4 questions. 1. There are 4 legs for every one dog. Aren 24 legs for 5 dogs a equal ratio? 2.It cost 10.00 dollars for 20 oranges. Is 2.00 per orange accurate? 3. Find the unit rate for 5 cans of chicken soup that cost a total of 2.00 dollars. 4.Beth Decided to takr a babysitting job for 2 weeks. During those 2 weeks, she worked 18 hours and made a total of 121.50. What was the amount that she made per hour?
Answer:
24 legs for 5 dogs is not an equal ratio.
Explanation:
If there are 4 legs for every 1 dog, so there'll be 8 legs for 2 dogs; 12 legs for 3 dogs; 16 legs for 4 dogs; 20 legs for 5 dogs, and 24 legs for 6 dogs. An equal ratio will be 24:6, so 24 legs for 5 dogs isn't an equal ratio.osg
Solve for x: 2(x + 3)2 − 4 = 0
A) x = 4.41, 1.59
B) x = 1.34, 5.24
C) x = −1.34, −5.24
D) x = −4.41, −1.59
Answer:
x=1.34,-5.24
Step-by-step explanation:
x=1.34,5.24
948954847/15441454746
550084487
Answer:
whats the question-
Step-by-step explanation:
HELPPPP PLZZZ!!!! I need this done soon
Answer:
y=-7/10x+107........
Plant A Plant B Weeks Height (inches) Weeks Height (inches) 0 6 0 4 2 8 2 7 Part. To graph the two linear relationships, you need to know which variable is the independent variable, x, and which is the dependent variable, y. Of the two variables, weeks and height, which is the independent variable, and which is the dependent? Explain your answer.
The independent variable, x in this scenario is; weeks.
The dependent variable, y in this scenario is; height.
Which of the two variables is the dependent and which is the independent variable?It follows from the task content that the two variables which describe the growth model of the plants are; weeks and height.
Since, independent variable as the name implies is one whose values do not arrive from evaluation using other values, the independent variable in this scenario is; weeks.
However, by logic, the height of the plant is determined by the number of weeks and hence is dependent on the variable weeks. Therefore, the dependent variable is; height.
Ultimately, the independent and dependent variables are; weeks and height respectively.
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Place
Is a city is in North America
India
Tokyo
Houston
✓
Peru
New York
Tijuana
✓
✓
Canada
✓
Let event A = The place is a city.
Let event B = The place is in North America.
What is P(A and B)?
Answer:
\(P(A\ and\ B) = \frac{3}{7}\)
Step-by-step explanation:
Your question is not well presented; (See Attachment for complete details)
Required
Find P(A n B)
where
A = Event that the place is a city
B = Event that the place is in North
The first step is to get the sample space;
Let S represent the sample space;
\(S = \{India,\ Tokyo,\ Houston,\ Peru,\ New York,\ Tijuana,\ Canada \}\)
\(n(S) = 7\)
The next is to list events A and B
A = City
\(A = \{Tokyo,\ Houston,\ New York,\ Tijuana\}\)
B = North America
\(B = \{Houston,\ New York,\ Tijuana,\ Canada\}\)
The next is to list common elements in A and B
\(A\ n\ B = \{Houston,\ New York,\ Tijuana\}\)
\(n(A\ and\ B) = 3\)
The probability of A and B is calculated as follows;
\(P(A\ and\ B) = \frac{n(A\ and\ B)}{n(S)}\)
Substitute \(n(A\ and\ B) = 3\) and \(n(S) = 7\) in the expression above
\(P(A\ and\ B) = \frac{3}{7}\)
Complete the multiplication problem to find the answer.
Answer:
A
Step-by-step explanation:
Answer:
a) 39.71
Step-by-step explanation:
U.S. Population can be modeled by the function f(x)=165.6x^1.345, where f(x) is in thousand and x is the number of year after 1800. What is f(50) and what does it mean?
Answer:
f(50) = 31928.24 thousands
Therefore, it means that the US population in year 1850 is 31928.24 thousands
Step-by-step explanation:
Given the function;
f(x)=165.6x^1.345
Where;
f(x) is in thousand and
x is the number of year after 1800
To determine f(50), we will substitute x = 50 into the function of f(x);
f(50)=165.6(50)^1.345
f(50) = 31928.24 thousands
Since f(50) is the US population in year 1800+50 = 1850
Therefore, the US population in year 1850 is 31928.24 thousands
Quesdon 8 of 10
Which of the following is a polynomial?
Answer:
B
Step-by-step explanation:
It has two or more terms.
In an experiment studying the association between a treatment variable and an outcome variable, the group of people who do not receive the treatment are called what?
the control group in an experiment refers to the group of individuals who do not receive the treatment under investigation. They serve as a reference point for evaluating the effects of the treatment and help researchers draw conclusions about the association between the treatment variable and the outcome variable.
In experimental research, the control group serves as a comparison or reference point for evaluating the effects of a specific treatment. The control group consists of individuals who are selected from the same population as the treatment group but do not receive the treatment being investigated.
By having a control group, researchers can assess the impact of the treatment by comparing the outcomes between the treatment group and the control group. This comparison helps determine whether any observed changes or effects are due to the treatment itself or other factors.
The control group is essential for establishing a baseline against which the treatment group's results are measured. It allows researchers to assess the causal relationship between the treatment variable and the outcome variable by isolating the effects of the treatment from confounding variables.
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Find the power set for the following sets (Write 3 examples of each)
a) Two sets A & B both having any 2 elements
b) Two sets A & B both having any 3 elements
c) Two sets A & B both having any 4 elements
Given statement solution is :- a) Power set for two sets A and B with any 2 elements:
Set A: {1, 2}, Set B: {3, 4}
Power set of A: {{}, {1}, {2}, {1, 2}}
Power set of B: {{}, {3}, {4}, {3, 4}}
b) Power set for two sets A and B with any 3 elements:
Set A: {1, 2, 3}, Set B: {4, 5, 6}
Power set of A: {{}, {1}, {2}, {3}, {1, 2}, {1, 3}, {2, 3}, {1, 2, 3}}
Power set of B: {{}, {4}, {5}, {6}, {4, 5}, {4, 6}, {5, 6}, {4, 5, 6}}
c) Power set for two sets A and B with any 4 elements:
Set A: {1, 2, 3, 4}, Set B: {5, 6, 7, 8}
Power set of A: {{}, {1}, {2}, {3}, {4}, {1, 2}, {1, 3}, {1, 4}, {2, 3}, {2, 4}, {3, 4}, {1, 2, 3}, {1, 2, 4}, {1, 3, 4}, {2, 3, 4}, {1, 2, 3, 4}}
Power set of B: {{}, {5}, {6}, {7}, {8}, {5, 6}, {5, 7}, {5, 8}, {6, 7}, {6, 8}, {7, 8}, {5, 6, 7}, {5, 6, 8}, {5, 7, 8}, {6, 7, 8},
a) Power set for two sets A and B with any 2 elements:
Set A: {1, 2}, Set B: {3, 4}
Power set of A: {{}, {1}, {2}, {1, 2}}
Power set of B: {{}, {3}, {4}, {3, 4}}
Set A: {apple, banana}, Set B: {cat, dog}
Power set of A: {{}, {apple}, {banana}, {apple, banana}}
Power set of B: {{}, {cat}, {dog}, {cat, dog}}
Set A: {red, blue}, Set B: {circle, square}
Power set of A: {{}, {red}, {blue}, {red, blue}}
Power set of B: {{}, {circle}, {square}, {circle, square}}
b) Power set for two sets A and B with any 3 elements:
Set A: {1, 2, 3}, Set B: {4, 5, 6}
Power set of A: {{}, {1}, {2}, {3}, {1, 2}, {1, 3}, {2, 3}, {1, 2, 3}}
Power set of B: {{}, {4}, {5}, {6}, {4, 5}, {4, 6}, {5, 6}, {4, 5, 6}}
Set A: {apple, banana, orange}, Set B: {cat, dog, elephant}
Power set of A: {{}, {apple}, {banana}, {orange}, {apple, banana}, {apple, orange}, {banana, orange}, {apple, banana, orange}}
Power set of B: {{}, {cat}, {dog}, {elephant}, {cat, dog}, {cat, elephant}, {dog, elephant}, {cat, dog, elephant}}
Set A: {red, blue, green}, Set B: {circle, square, triangle}
Power set of A: {{}, {red}, {blue}, {green}, {red, blue}, {red, green}, {blue, green}, {red, blue, green}}
Power set of B: {{}, {circle}, {square}, {triangle}, {circle, square}, {circle, triangle}, {square, triangle}, {circle, square, triangle}}
c) Power set for two sets A and B with any 4 elements:
Set A: {1, 2, 3, 4}, Set B: {5, 6, 7, 8}
Power set of A: {{}, {1}, {2}, {3}, {4}, {1, 2}, {1, 3}, {1, 4}, {2, 3}, {2, 4}, {3, 4}, {1, 2, 3}, {1, 2, 4}, {1, 3, 4}, {2, 3, 4}, {1, 2, 3, 4}}
Power set of B: {{}, {5}, {6}, {7}, {8}, {5, 6}, {5, 7}, {5, 8}, {6, 7}, {6, 8}, {7, 8}, {5, 6, 7}, {5, 6, 8}, {5, 7, 8}, {6, 7, 8},
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consider the relationship below given pi/2<0
sin(x) is a mathematical function that calculates the sine of angle x, where x is in radians.
In mathematics, angles are measured in radians or degrees. The symbol π represents the mathematical constant pi, which is approximately equal to 3.14159.
When we say π/2, it means half of the circumference of a circle, which corresponds to 90 degrees.
The inequality "π/2 < 0" suggests that π/2 is less than zero, implying that the angle of 90 degrees is negative. However, this is incorrect.
In the standard coordinate system, angles are measured counterclockwise from the positive x-axis.
Thus, π/2 or 90 degrees lies in the positive direction. The correct relationship should be "π/2 > 0" to indicate that the angle is greater than zero.
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Please I need this today
Answer:
a: 6 b: 9 c: 6
Step-by-step explanation:
a: 10-2x2=6
b:10-2 1/2=9
c: 10-2x-2=6
Answer:
A. 6
B. 9
c. 14
Step-by-step explanation:
A. plug in 2 to x in the given equation: 10 - 2(2)
multiply first: 10 - 4
solve: 6
B. plug in 1/2 to the given equation: 10 - 2(1/2)
multiply first: 10 - 1
solve: 9
C. plug in -2 to the given equation: 10 - 2(-2)
multiply first (remember a - times a - is a +): 10 + 4
solve: 14
andy wrote the equation of a line that has a slope of and passes through the point (3, –2) in function notation. step 1: y – (–2)
The equation of the line in function notation is
\(y = mx - 3m - 2\)
Step 1: y - (-2)
To write the equation of the line in function notation, we can use the point-slope form of the equation of a line:
y - y1 = m(x - x1)
where m is the slope of the line, and (x1, y1) is a point on the line. In this case, the slope is given as "m," and the point (x1, y1) is (3, -2).
Substituting these values into the equation, we get:
y - (-2) = m(x - 3)
Simplifying the expression in the left-hand side, we get:
y + 2 = m(x - 3)
This is the equation of the line in point-slope form. To write it in function notation, we can solve for y:
y = mx - 3m - 2
This is the equation of the line in function notation. We can use this equation to find the y-value of the line for any given x-value. For example, if we want to find the y-value of the line when x = 5, we can substitute x = 5 into the equation and solve for y:
y = m(5) - 3m - 2 = 2m - 2
So when x = 5, the y-value of the line is 2m - 2.
Question: Andy wrote the equation of a line that has a slope of "m" and passes through the point (3, -2) in function notation. Write the equation of the line in function notation, showing the first step of your work.
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A radio station announces one listener's name between 8:10:00 and 8:21:59 every morning. If you turn the radio on at 8:18:00, what are the chances that you missed the announcement? Round your answer to the nearest hundredth.
Answer:
\(Pr = 0.67\)
Step-by-step explanation:
Given
\(Start = 8:10:00\)
\(End = 8:21:59\)
\(You = 8:18:00\)
Required
Chances that you missed the appointment
First, calculate the number of minutes of the radio station
\(n = End - Start\)
\(n = 8:21:59 - 8:10:00\)
\(n = 11\ min\ 59\ secs\)
Convert to seconds
\(n = 719\)
Since you turn on at 8:18:00, then you've missed the broadcast from the start till 8:18:00
So, we have:
\(Missed = 8:17:59 - 8:10:00\)
\(Missed = 7\ mins\ 59\ secs\)
Convert to seconds
\(Missed = 479\)
The probability that you missed is:
\(Pr = \frac{Missed}{n}\)
\(Pr = \frac{479}{719}\)
\(Pr = 0.67\)
write th fraction 12/15 in its simpliest form
Answer:
4/5
Step-by-step explanation:
Common factor is 3 so,
if you divide 12/15 by 3, then it will equal to 4/5
Answer:
4/5
Step-by-step explanation:
3 because thats what they have in common so devide both by 3 to get the answer
If f(1) = 10 and f(n) = f(n − 1) – 3 then find the value of f(4).
Answer:
f(4) =1
Step-by-step explanation:
f(1) = 10
f(n) = f(n − 1) – 3
Let n=2
f(2) = f(2 − 1) – 3 = 10-3 = 7
Let n =3
f(3) = f(3 − 1) – 3 = f(2) -3 = 7-3 = 4
Let n = 4
f(4) = f(4 − 1) – 3 = f(3) -3 = 4-3 = 1
Answer:
9
Step-by-step explanation:
f(4)=4(4-1)-3
f(4)=4(3)-3
f(4)=12-3
f(4)=9
5/6 divided by 2 =?
Need answer soon!!
Answer:
0.416666667
Step-by-step explanation:
(winks and runs off)
Answer:
5/12
Step-by-step explanation:
5/6÷2
5/6÷2/1
5/6•1/2
5/12
A pig cost #x and a goat cost #y less than a pig
Answer:
you have to add at least one of the animals price in order for it to be solved
Step-by-step explanation:
fond the value of x and find the length of xy
From this Triangle
Taking Triangle XZH, wanting to find HZ
\(\begin{gathered} We\text{ have to make use of pythgoras Theorem} \\ (XZ)^2=(XH)^2+(HZ)^2 \\ 12^2=8^2\text{ + }(HZ)^2 \\ 144\text{ = 64 + }(HZ)^2 \\ 144-64\text{ = }(HZ)^2 \\ (HZ)^2\text{ = 80} \\ (HZ)\text{ = }\sqrt[]{80\text{ }}\text{ =8.94} \\ \end{gathered}\)From the Second triangle, ZHY
\(\begin{gathered} ZY^2=HZ^2+HY^2 \\ (x+3)^2\text{ =}8.94^2+x^2 \\ x^2+6x^{}\text{ + 9 = }80+x^2 \\ x^2-x^2\text{ + 6x = 80 -9} \\ 6x\text{ = 71} \\ x\text{ =}\frac{71}{6}\text{ =11.83} \\ \end{gathered}\)XY = x + 8
= 11.83 + 8
=19.83