Answer:
f(-2)=11
Step-by-step explanation:
f(-2)=-3(-2)+5
=6+5
=11
What’s the way to solve
Answer:
Twice
Step-by-step explanation:
It is twice because when you get your answer of the subtraction part, you divide by 2 or 2/1 and so you got to do K.C.F.
so in the end you would be multiplying by 1/2 or 2
Answer: Half
Think of an example like comparing \(72 \div 2\) versus \(72\)
I replaced the complicated stuff in the parenthesis with "72", and we're dealing with the same kind of problem.
Using a calculator or long division, \(72 \div 2 = 36\) which is half of 72.
Dividing by 2 is the same as multiplying by the fraction 1/2
\(\frac{1}{2}*72 = 36 \ \text{ and } \ 72 \div 2 = 36\)
Please help me!!? Number 6
Answer:
the b believes in me
Step-by-step explanation:
B)75km etc
1hr
\(\frac{75 \text{ km}}{1 \text{ hr}} \times \frac{1000 \text{ m}}{1 \text{ km}} \times \frac{1 \text{ hr}}{60 \text{ min}} \times \frac{1 \text{ min}}{60 \text{ sec}}\)
========================================================
Explanation:
We'll use the following facts (either memorized or written on a reference sheet somewhere)
1000 m = 1 km1 hr = 60 min1 min = 60 secEach of those equations will form conversion factors to help us go from km/hr to m/s. Each conversion factor is a fraction connecting the two sides of the equation. Example: The equation 1000 m = 1 km forms the conversion factor of \(\frac{1000 \text{ m}}{1 \text{ km}}\)
In choice B, notice how the fractions are set up. The "km" units cancel when dividing. The same goes for the "hr" and "min" units.
Check out the screenshot below where I show this cancellation in action. The color-coding helps show how the terms pair up and cancel.
Choice A comes close to what choice B is saying, but we don't have the "min" units cancel. So choice A is eliminated as an answer.
Choices C and D are also eliminated because of the "75 km" in the denominator. It should be 1 km.
What are the roots of the quadric equation y=x^2-10x+125?
Sketch the region enclosed by the given curves.
y=3/x, y=12x, y=1/3x, x>0
Find its area
y=3/x, y=12x, y=1/3x, x>0 ; using the concept of area under the curve its area = 3 ln 6,
What is the area under the curve?The region between a curve and the -axis is referred to as the "area under a curve." This region may be wholly above the -axis, entirely below the -axis, or somewhere in between. The area under a curve in calculus is a picture of an integral.
The region enclosed by the curve, the axis, and the boundary points is referred to as the "area under the curve." Using the coordinate axes and the integration formula, the area under the curve has been determined as a two-dimensional area. The area of the asymmetric plane form in a two-dimensional array is provided by the region beneath the curve.
Given that,
y = 3/x, y = 12x, y = 1/3x, x > 0
Now, area:
= \(\int\limits^{1/2}_0 {12x - (x/3)} dx + \int\limits^3_{1/2} [{(3/x)- (x/3)}] \, dx\)
= \([\frac{35}{6} x^2]^{1/2}_0 + [ 3 \ln |x| - (x^2/6)]^3_{1/2}\)
= \(\frac{35}{24} + 3\ln 3 + 3\ln 2 - \frac{35}{24}\)
= \(3 [ \ln 3 + \ln 2]\)
= \(3 \ln 6\)
So, area = \(3 \ln 6\)
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The complete question is as follows:
Manuel was examining the product of 48 x 0.73. He realized that he could create other multiplication problems that have the same product. Select whether each expression has the same product as 48 x 0.73. 6.NS.3 No Yes 0 0 43 x 0.78 0 0 4.8 * 7.3 o 0,48 x 73 o 7.8 * 4.3 0 0 480 x 0.073 roto of 283 miles per hour. Nora walks at a rate of
We will solve as follows:
*First: We find out the value of the product:
\(48\cdot0.73=35.04\)Now, we find out from the other expressions:
*First:
\(43\cdot0.78=33.54\)[No]
*Second:
\(4.8\cdot7.3=35.04\)[Yes]
*Third:
\(0.48\cdot73=35.04\)[Yes]
*Fourth:
\(7.8\cdot4.3=33.54\)[No]
*Fifth:
\(480\cdot0.073=35.04\)[Yes]
What are four consecutive even integers if the first integer is −4?
Responses
−4, −3, −2, −1
negative 4 , negative 3 , negative 2 , negative 1,
−4, −5, −6, −7
negative 4 , negative 5 , negative 6 , negative 7,
−4, −2, 0, 2
negative 4 , negative 2 , 0, 2,
−4, −6, −8, −10
Negative 4 , negative 6 , negative 8 , negative 10.
What is integer?An integer is a whole number that can be either positive, negative, or zero. It is not a fraction, decimal, or a percentage. Integers are the basic building blocks of mathematics and are used to represent whole numbers in equations. They are also used in computer programming languages to represent whole numbers.
negative 4 , negative 3 , negative 2 , negative 1,
−4, −5, −6, −7
negative 4 , negative 5 , negative 6 , negative 7,
−4, −2, 0, 2
negative 4 , negative 2 , 0, 2,
−4, −6, −8, −10
negative 4 , negative 6 , negative 8 , negative 10.
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An equation is shown below.
√−x=x+6 Which of these statements are true? Choose all that are correct. A.x=−9 satisfies the equation.
в. This equation has exactly one solution. c. This equation has the same solution set as−x=x2+12x+36. D. This equation has the same solution set as−x=x2+36. E.x=−4
Given quadratic equation has same solution set as -x=x²+12x+36 i.e. C.
Quadratic equations: what are they?A second-degree algebraic equation in x is a quadratic equation. Ax2 + bx + c = 0 is the quadratic equation in its standard form, with a and b acting as coefficients, x acting as the variable, and c acting as the constant term.
The coefficient of x2 must not be zero (a 0) for an equation to qualify as a quadratic equation. The x2 term comes first, followed by the x term, and finally the constant term when stating a quadratic equation in standard form. Instead of being written as fractions or decimals, the numerical values a, b, and c are frequently expressed as integral values.
Now,
Given equation is √-x=x+6
-x = (x+6)²
-x = x² +36+12x
x² + 11x + 36 = 0
As it is same quadratic equation as given in option C.
Hence,
Given quadratic equation has same solution set as
-x = x² + 12x + 36.
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plz help me :) it asking for what q=
Answer:
\(q = \frac{4A}{h} - b\)
Step-by-step explanation:
Please see the attached picture for full solution.
Write the following ratio using two other notations 5/4 use only the numbers above (not any others). Notation one and notation two
Answer:
5:4, 5 to 4
Explanation:
Given the ratio 5/4, we can also write it in the forms below:
\(\begin{gathered} Notation\; 1=5\colon4 \\ Notation\; 2=5\text{ to 4} \end{gathered}\)
Nicole runs 6 miles in 45 minutes. At the same rate, how many minutes would she take to run 4 miles?
Answer:
30 minutes
Step-by-step explanation:
6=45
4=x
6x2/3=4
45x2/3=30
x=30
Answer:
66 minutes
Step-by-step explanation:
what is the expression of 9y - 3 (y + 1) - 2y + 4 (x - 7)
Answer:
4x +4y -31
Step-by-step explanation:
You want the simplified form of 9y - 3 (y + 1) - 2y + 4 (x - 7).
Simplified formThe expression is simplified by eliminating parentheses using the distributive property, then combining like terms.
9y - 3 (y + 1) - 2y + 4 (x - 7)
= 9y -3y -3 -2y +4x -28
= 4x +(9-3-2)y +(-3-28)
= 4x +4y -31
please help!
Find the value of x.
3
х
x= [?]
Enter
\(6^{2}=3*x\\36=3x\\x=12\\\)
A jar of peanut butter was $2.25 and now is $3.50. What is the percent of change on the jar of peanut butter? Make sure to type if it is an increase or decrease
express the product of 0.54 and 0.35 in standard form
Answer:
First answer, 0.54 is 54% and for the second one, 0.35 is 35%
Step-by-step explanation:
1. You first mulitply the numerator by the denominator by 100 which would be 0.54 x 100 = 54
2. Once you get the answer you just add a percentage to the end of 54 which would equal 54% and thats your answer for 0.54 and to find 0.35 it is the same thing to find the percentage.
Question
Find the range and interquartile range for 1,5,2,4,3.
The range is
The IQR is
-6 - 13
I don’t get it can someone explain?
Answer:
-19
Step-by-step explanation:
So, you can also write this equation as:
-6 + -13 = -19
For example:
You owe your friend $6.
You borrow 13 more dollars from him.
Now you owe him $19.
You have $-19 because you are in debt.
Hope I helped :)
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Use transformations to explain how the graph of f can be found by using the graph of y=∣x∣. f(x)=∣−(x−10)∣ A. Serlect the graph or y=∣x∣ across the y-axis. B. Shift the graph of y=∣x∣ right by 10 units. C. Shift the graph of y=∣x∣ down by 10 units. D. Reflect the graph of y=∣x∣ across the x-axis. E. Shift the graph of y=∣x∣ left by 10 units. F. Vertically stretch the graph of y=∣x∣ by a factor of 10 . G. Vertically shrink the araph of y=∣x∣ by a factor of 10 .
The correct choices are B and C:
B. Shift the graph of y=∣x∣ right by 10 units.
C. Shift the graph of y=∣x∣ down by 10 units.
To graph f(x) = |-(x-10)| using the graph of y=|x|, we need to apply a series of transformations:
A. Reflect the graph of y=|x| across the y-axis: This will give us the graph of y=|-x|.
B. Shift the graph of y=|-x| right by 10 units: This will give us the graph of y=|-x+10|.
C. Shift the graph of y=|-x+10| down by 10 units: This will give us the graph of y=|-x+10|-10.
Therefore, to obtain the graph of f(x) = |-(x-10)| from the graph of y=|x|, we need to reflect the graph across the y-axis, shift it 10 units to the right, and 10 units down.
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Which absolute value expression represents the distance between 3 and
9 /2
on a number line?
A) |3 −
9
2
|
B) |3 − (−
9
2
)|
C) |−3 + (−
9
2
)|
D) |−3 −
9
2
)|
Unit 3: Functions& Linear Equations Homework 1: Relations & Functions Name: Date: Bell: This is a 2-page document! Find the domain and range, then represent as a table, mapping, and graph. Domain Range 2. {(-3,-4), (-1, 2), (0,0), (-3, 5), (2, 4» Domain Range - Determine the domain and range of the following continuous graphs 3. 4. Domain = Range = 5. Domain Range 6. Domain - Domain - Range - Range = Gina Wlson (AlI Things Aigebral 2
The domain and range are the set of x and values of the function are in the table.
the function as a table,
Input (x) | Output (y)
-3 | -4
-1 | 2
0 | 0
-3 | 5
2 | 4
What is the domain and range?
The domain and range are fundamental concepts in mathematics that are used to describe the input and output values of a function or relation.
The domain of a function refers to the set of all possible input values, or x-values, for which the function is defined.
The range of a function refers to the set of all possible output values, or y-values.
To find the domain and range of functions and represent them in different formats.
To find the domain and range of a function:
The domain refers to the set of all possible input values (x-values) for the function.
The range refers to the set of all possible output values (y-values) for the function.
To represent the function as a table, you would list the input-output pairs. For example:
Input (x) | Output (y)
-3 | -4
-1 | 2
0 | 0
-3 | 5
2 | 4
To represent the function as a mapping, you would indicate the correspondence between the input and output values.
For example:
-3 -> -4
-1 -> 2
0 -> 0
-3 -> 5
2 -> 4
To represent the function as a graph, The x-values would be on the horizontal axis, and the y-values would be on the vertical axis.
The points (-3, -4), (-1, 2), (0, 0), (-3, 5), and (2, 4) would be plotted accordingly.
Hence, The domain and range are the set of x and values of the function are in the table.
the function as a table,
Input (x) | Output (y)
-3 | -4
-1 | 2
0 | 0
-3 | 5
2 | 4
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A loan of £9200 gains interest of £2576 in 4 years. Find the simple interest rate.
Answer:
7%
Step-by-step explanation:
1 yr interest
2576 ÷ 4 = 644
1 yr interest rate
644 ÷ 9200 = 7
check
7% x 9200 x 4yrs = 2576
50 POINTS
The cone on the right was created by dilating the cone on the left. How does the volume of the cone
on the right compare with the volume of the cone on the left. Jus
18
48
48 d
18 d
The volume of the new cone is 0.507 times the volume of the old cone.
What is meant by volume?
Volume is a measure of the space occupied by a three-dimensional object or substance. It is usually measured in cubic units such as cubic meters, cubic centimeters, or cubic feet and can be calculated using various formulas depending on the shape and size of the object.
What is a cone?
A cone is a three-dimensional geometric shape that tapers smoothly from a flat circular base to a point called the apex. It has one circular base, one curved surface, and a vertex or apex.
According to the given information
Let's start by finding the radius of the original cone using its diameter:
Radius = Diameter/2 = 48/2 = 24
Now, we can use the formula for the volume of a cone:
Volume of original cone = (1/3) * pi * r² * h
= (1/3) * pi * 24² * 18
= 54,432 pi
The new cone has a diameter of 48x and a length of 18x. So, its radius and height are:
Radius = (48x)/2 = 24x
Height = 18x
The volume of the new cone is:
Volume of new cone = (1/3) * pi * (24x)² * (18x)
= 27,648 x³ pi
To compare the volumes, we can divide the volume of the new cone by the volume of the old cone:
Volume of new cone / Volume of old cone = (27,648 x³ pi) / (54,432 pi)
= 0.507 x³
Therefore, the volume of the new cone is 0.507 times the volume of the old cone.
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Annika sells 6 inch pies for $5.00 and 8 inch pies for $9.00 each. Last week she sold twice as many 6 inch pies as she did 8 inch pies. She made $133.00 from her sales. Annika defined x as the number of 6 inch pies she sold and y as the number of 8 inch pies she sold. She wrote the system below.
6 x + 8 y = 133. 2 x = y.
Which statements about the system are true? Check all that apply.
Since the cost for each pie is $5 and $9, the first equation should be 5 x + 9 y = 133.
Since the 8 inch pies are 2 inches larger, the second equation should be x + 2 = y.
Since there are fewer 8 inch pies, the second equation should be x = 2 y to balance the values.
The first equation is correct because 6x represents the money earned for 6 inch pies and 8y represents the money earned for 8 inch pies.
The second equation is correct because there are more 6 inch pies and 2 times a number is always more.
Answer:
See below!
Step-by-step explanation:
Only the first choice is accurate.
The second choice is incorrect since it doesn't accurately represent the situation described.
The third choice is incorrect since it also doesn't accurately represent the situation described.
The fourth choice is incorrect since the equation is meant to show the cost of the pies, not the size.
While the fifth choice is correct in that the second equation is accurate, the reasoning is inaccurate.
Answer
Only option 1 is correct
find value of x, y and z plsssss slove it
Answer:
x = 65°
y = 50°
z = 65°
Step-by-step explanation:
130° + y = 180°
y = 50°
115° + z = 180°
z = 65°
x + y + z = 180°
x + 50° + 65° = 180°
x + 115° = 180°
x = 65°
Venus has switches at the top and bottom of her stairs to control the light for the stairwell. She notices that when the upstairs switch is up and the downstairs switch is down, the light is turned on.
b. If both the upstairs and downstairs switches are in the up position, will the light be on?
Explain your reasoning.
If both the upstairs and downstairs switches are in the up position, the light will be off
How to determine if the light will be on?The given parameters are
Switches = 2 i.e. top and bottom
Also, we have:
When the upstairs switch is up and the downstairs switch is down, the light is turned on.
This means that the light is only on when the upstairs switch is up and the downstairs switch is down
Any other position of the switches, the light is off
From the question, we have
Both the upstairs and downstairs switches are in the up position
This is different from the required position to on the light
Hence, the light will be off
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plzzzzzz help due in 20 mins
the answer is lines 3 and 5
What is the average rate of change for the line shown in the graph
Answer:
The average rate of change is 10.
Step-by-step explanation:
Since the average rate of change is the slope of a line, you'd solve this problem by finding the slope.
First, you can start by using the \(\frac{y_2-y_1}{x_2-x_1}\) method.
Plug in the points (0,10) and (1,20).
\(\frac{20-10}{1-0} =\frac{10}{1} =10\)
Therefore your answer is 10.
Hope this helped!
in studies for a medication, percent of patients gained weight as a side effect. suppose patients are randomly selected. use the normal approximation to the binomial to approximate the probability that (a) exactly patients will gain weight as a side effect. (b) no more than patients will gain weight as a side effect. (c) at least patients will gain weight as a side effect. what does this result suggest?
The normal approximation is used to estimate probabilities in a medication study for weight gain as a side effect, providing insights into specific outcomes.
To approximate the probabilities using the normal approximation to the binomial, we need to know the success probability (percent of patients gaining weight) and the number of patients involved in the study. Let's denote the success probability as p and the number of patients as n.
(a) To calculate the probability that exactly k patients will gain weight, we can use the formula for the binomial distribution:
P(X = k) = (n choose k) * p^k * (1 - p)^(n - k)
However, since we are using the normal approximation, we can approximate it as:
P(X = k) ≈ P(k - 0.5 < X < k + 0.5)
(b) To calculate the probability that no more than k patients will gain weight, we can sum the probabilities from 0 to k:
P(X ≤ k) ≈ P(0.5 < X < k + 0.5)
(c) To calculate the probability that at least k patients will gain weight, we can subtract the probability of the complement event (less than k patients) from 1:
P(X ≥ k) ≈ 1 - P(X < k + 0.5)
These approximations rely on the assumption that n is sufficiently large and that p is not too close to 0 or 1. The result suggests that we can estimate the probabilities of specific outcomes in the medication study using the normal distribution, providing an approximate understanding of the likelihood of different scenarios.
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alicia is a nurse in 2016 she earned a monthly salary of £1750
Answer:
Step-by-step explanation:
Given :
Salary in 2016 = 1750
Pay rise in 2017 = 2%
Monthly salary = (1 + 2%) of 175= 1.02 * 1750 = 1785
Hours worked per week = 45 hours
Number of weeks = 48 weeks
The total hours worked for the year :
(48 * 45) = 2160 hours
Average pay per hour for the year ;
(Average Salary earned over 12 months) /total number of hours worked for the year
(1785 * 12) / 2160
= 21420 / 2160
= 9.9166 per hour
= $9.92 per hoj
When Ava went to bed, the temperature was 3°F. When she woke up, the temperature had decreased by 6°F. What was the temperature when Ava woke up?
Answer:
\(T_f=9^{\circ} F\)
Step-by-step explanation:
It is given that,
Initial temperature, \(T_i=3^{\circ} F\)
The decrease in temperature when she woke up is, \(\Delta T=6^{\circ} F\)
We need to find the temperature when Ava woke up.
Change in temperature = final temperature-initial temperature
\(6\ ^{\circ}F=T_f-3^{\circ}F\\\\T_f=9^{\circ} F\)
So, when she woke up the temperature was 9°F.
The temperature when Ava woke up is -3°F
What is Integers?Integers come in three types:
Zero (0)Positive Integers (Natural numbers)Negative Integers (Additive inverse of Natural Numbers)Given:
When Ava went to bed, the temperature was 3°F.
and, When she woke up, the temperature had decreased by 6°F.
So, the temperature when Ava woke up
= 3 - 6
= -3°F
Hence, the temperature when Ava woke up is -3°F
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Two rectangular picture frames have the same area of 45 square inches but have different side lengths. Frame A has a length of 6 3/4 inches, and Frame B has a length of 7 1/2 inches.
Answer:
frame b because it takes up more room than the other some it forces the other to be smaller
Step-by-step explanation:
Answer:
Step-by-step explanation
It is Frame B trust me it is bigger.