Answer:
f(3) = -17
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
f(x) = -5x - 2
f(3) is x = 3
Step 2: Evaluate
Substitute in x: f(3) = -5(3) - 2Multiply: f(3) = -15 - 2Subtract: f(3) = -17A travel agency recorded the travel destinations of 60 South African tourists last month.
Of the 60 tourists, 30 visited Europe, 28 visited the UK, 9 visited America and 12
visited both Europe and the UK. Five tourists did not visit America, Europe or the UK.
(1) Draw a Venn diagram to represent this information.
(2)
(3)
Determine the probability that a tourist, selected at random, visited Europe only.
Determine the probability that a tourist, selected at random, visited America.
Determine the probability that a tourist, selected at random, visited both Europe
and the UK.
(4)
(5)
Determine:
(i) P((not E) or A)
(ii)
P((not A) and UK)
02 The probability that he will
Answer:
to create venn diagram
Step-by-step explanation:
To create an intersecting Venn diagram, draw three circles that overlap in the middle. You'll be able to show which attributes are unique to each circle, which overlap between two, and which are common characteristics of all three groups. Two circles overlapping is a classic venn diagram.
Bailey starts playing a game on her cell phone with the battery fully charged and plays until the phone battery dies. While playing the game the charge in Bailey's battery decreases by half a percent per minute. Write a function for the percent change in the battery while Bailey is playing the gane
The linear function for the percent change in the battery while Bailey is playing the gane is:
B(t) = 100 - 0.5t, 0 ≤ t ≤ 200.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.For this problem, we have that:
The intercept is the initial battery, of 100.The slope is of -0.5, as the battery decays by 0.5% each minute.Hence the function is:
B(t) = 100 - 0.5t.
The battery will be of 0, when:
B(t) = 0.
100 - 0.5t = 0.
t = 100/0.5.
t = 200.
Hence the function is:
B(t) = 100 - 0.5t, 0 ≤ t ≤ 200.
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Which of the following equations has nosolution? B= -B+ 2 B + 2= b + 2 B+ b = 2 b + 2 = b-2
the equation B= -B+2B+2 has no solution
given equation B= -B+2B+2=b+ 2B +b= 2b+2= b-2
taking B= -B+2B+2
B+B=2B+2
2B=2B+2
2=0 hence no solution
taking -B+2B+2=b+2B+b
-B = 2b-2
B= 2(1- b) is the solution of equation
taking b+2B+b=2b+2
2B=2
B=1 is the solution of given equation
taking 2b+2 = b-2
b= -4
thus the equation B= -B+2B+2 has no solution
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cuál es el valor total de 9?
Answer:
(0.98768834,0.15643446)
Step-by-step explanation:
yo creo
brainiest to correct answer
Which part of the technological design process involves learning from other scientists that have solved the problem before?
A. decide on a solution
B. refine the original solution design
C. test and evaluate a solution
D. research existing solutions
Answer:
C. test and evaluate a solution
the Math question is on the image
Answer:
x = 40
Step-by-step explanation:
You want x when y = 16, given that x = 2 when y = 1/25 and x is proportional to the square root of y.
ProportionThe given relation between x and y is ...
x = k√y . . . . . . x is proportional to the root of y
ApplicationThe value of k is found from ...
k = x/√y = 2/√(1/25) = 10
Then for y = 16, we have ...
x = 10·√16 = 10·4
x = 40 . . . . . . . . when y = 16
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John made a nut mixture that contains
90% peanuts by mixing 5 oz. of mixed
nuts with 20 oz. of peanuts. The mixed
nuts contained what percent peanuts?
The percentage of peanuts which this mixed nuts contained is 40%.
What is a proportion?A proportion can be defined as an equation which is typically used to represent (indicate) the equality of two (2) ratios. This ultimately implies that, proportions can be used to establish that two (2) ratios are equivalent and solve for all unknown quantities.
In order to determine the percentage of peanuts which this mixed nuts contained, we would develop a table of proportion to model the word problem as follows:
5 oz + 25 oz = 30 oz
5x + 25 = 30(0.9)
x + 5 = 6(0.9)
x + 5 = 5.4
x = 5.4 - 5
x = 0.4 ⇒ 40%.
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What is the greatest common factor of 35 and 25
Answer:
5
Step-by-step explanation:
5 |35 | (5 is the divisor and 35 is the dividend)
= 7|
For 25;
5 |25|
=5
35 = 5 * 7
25 = 5 * 5
Now, common factor =5
Eva went to shop and bought 3 apples, 5 peaches, 8 bananas, 1 pineapple and 3 melons. what are the mean and median of her purchase?
If Eva went to a shop and bought 3 apples, 5 peaches, 8 bananas, 1 pineapple, and 3 melons, then the mean and median of her purchase are equal to 4 and 3 respectively.
Mean can be described as the most common value in a group of numbers. The mean of a certain set can be found by the ratio of the sum of the values to the number of values.
Mean = Sum total of the expressions/ Number of expressions
Sum of the values = 3 + 5 + 8 + 1 + 3 = 20
Number of values = 5
Mean = 20 / 5
Mean = 4
Median can be described as the central number in a series of numbers or a dataset.
If we arrange the given dataset in ascending order, that is from smallest to largest, then the median can be found as follows,
1 + 3 + 3 + 5 + 8
As the middle number is 3, therefore the median of the given data set is equal to 3.
Therefore, the mean and median of her purchase are calculated to be 4 and 3 respectively.
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If a lighthouse's shadow is 36ft what is the lighthouse height?
Answer:
I think its 48 feet
Step-by-step explanation:
Answer:
wouldn't u need another object and that objects shadow?
find the slope of the line in the picture
The slope of the line in the picture is 2.8
How to find the slope of the line in the picture?To calculate the slope of the line, we make use of two points on the line
The two points to use are
(0, 0) and (25, 70)
The slope of the line is then calculated as
Slope = (y2 - y1)/(x2 - x1)
So, we have
Slope = (70 -0)/(25 - 0)
Evaluate
Slope = 2.8
Note that the slope can also be regarded as the constant average rates of change or the gradient
Hence, the slope of the line in the picture is 2.8
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What is the slope of the line that passes through the points (-7, -2) and
(-2,-22)? Write your answer in simplest form.
Answer:
-4
Step-by-step explanation:
Compute the slope of the line through the following points:
p_1 = (-7, -2) and p_2 = (-2, -22)
The slope of the line through (x_1, y_1) and (x_2, y_2) is:
(y_2 - y_1)/(x_2 - x_1)
Substitute (x_1, y_1) = (-7, -2) and (x_2, y_2) = (-2, -22):
= (-22 - -2)/(-2 - -7)
-(-7) = 7:
= (-22 - -2)/(-2 + 7)
-2 + 7 = 5:
= (-22 - -2)/5
-(-2) = 2:
= (-22 + 2)/5
-22 + 2 = -20:
= (-20)/5
The gcd of -20 and 5 is 5, so (-20)/5 = (5 (-4))/(5×1) = 5/5×-4 = -4:
Answer: = -4
-2/3 a +5/6 a -1/6 
The solution is [tex]\frac{9a - 1}{6}[/tex]
An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction.
Find the lowest common denominator (LCD), convert each algebraic fraction to an equivalent fraction with the common denominator, and then combine each numerator to add or subtract algebraic fractions with distinct denominators. Reduce if you can.
Use the highest exponent of any common variable factor that has more than one exponent.
Add multiplied terms together to get a single fraction.
[tex]\frac{2a}{3} + \frac{5a}{6} + \frac{-1}{6}\\ \\ = 2(\frac {2a}{3}) + \frac{5a}{6} + \frac{-1}{6}\\\\\\\ = \frac{4a + 5a - 1}{6} \\ \\= \frac{9a - 1}{6}[/tex]
Therefore, the answer is (9a - 1) / 6
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what percent of 54 is 23? explained
Answer: 42.59
Step-by-step explanation:
Step 1: First, write the problem as an equation: P% = X/Y
Step 2: Here, X is 23, Y is 54, so the equation is P% = 23/54
Step 3: A percent is a ratio of a number expressed out of 100. So P% means P/100
Step 4: Substitute P/100 instead of P% in the above equation, then P% = 23/54 becomes P/100 = 23/54
Step 5: Solve for P
P/100 = 23/54
P = (23/54) * 100 = 42.59
Therefore, 23 is 42.59 percent of 54
a board game spinner is divided into three parts labeled $a$, $b$ and $c$. the probability of the spinner landing on $a$ is $\frac{1}{3}$ and the probability of the spinner landing on $b$ is $\frac{5}{12}$. what is the probability of the spinner landing on $c$? express your answer as a common fraction.
Probability of spinner landing on 'c' is 1/4;
Probability of spinner landing on 'a' = 1/3 = 4/12;
Probability of spinner landing on 'b' = 5/12;
Thus, Probability of spinner landing on 'c' = 1 - (5/12 + 4/12)
= 1 - 9/12
= 3/12
= 1/4;
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Rectangle a measures 9 inches by 3 inches rectangle b is a scaled copy of rectangle a
Multiply 9 and 3 by the scale factor of rectangle B, and those should be your new corresponding dimensions for that rectangle.
Enlarge the triangle by scale factor 2.
Answer:
Answer in the picture attached
C is the midpoint of AD. B is the midpoint of AC BC =4 what is the length of BD
Answer:
================= m
Step-by-step explanation:
uuhhhhhhvvvvbvvggggghgggghhgg
In this discussion, you will reflect on what you have learned about solving equations.
Discussion Prompt: Sarah and Kayla both solved the problem below. Who do you think solved it correctly? For the person who solved it incorrectly, what mistake do you think was made?
Sarah
5x - 15 - 3x = 10 - (-3x + 20)
2x - 15 = 10 + 3x - 20
2x - 3x - 15 = -10 + 3x - 3x
-1x - 15 = -10
-1x - 15 + 15 = -10 + 15
-1x = 5
x = -5
Kayla
5x - 15 - 3x = 10 - (-3x + 20)
2x - 15 = 10 + 3x - 20
2x + 3x - 15 = -10 + 3x + 3x
5x - 15 = -10
5x - 15 + 15 = -10 + 15
5x = 5
x = 1
Post a brief paragraph responding to the discussion prompt above. Your post should use concepts presented in this module/lesson. Your post must be completed before you can see posts from your classmates.
Discussion Responses
The person that solves the equation correctly is Sarah. It should be noted that the mistake that Kayla made is that she added 2x + 3x rather than subtracting it.
How to illustrate the information?It should be noted that an equation is simply used to illustrate the relationship between two variables.
In this case, the solution to the equation will be:
5x - 15 - 3x = 10 - (-3x + 20)
2x - 15 = 10 + 3x - 20
2x - 3x - 15 = -10 + 3x - 3x
-1x - 15 = -10
-1x - 15 + 15 = -10 + 15
-1x = 5
x = -5
Therefore, the person that solves the equation correctly is Sarah. It should be noted that the mistake that Kayla made is that she added 2x + 3x rather than subtracting it.
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find the value of x:
Answer:
35°
Step-by-step explanation:
Total: 360°
{[360-(110*2)]/2}2
3. (g + h) (×)
4. (g - h ) (×)
5. (f + h) (×)
please solve thankyou!!
whic is the correct form of the equation a+b+c=d when solved for a?
Answer:
a = d-b-c
Step-by-step explanation:
i think?
What’s the morning time on the clock
Given that m
Please help me with this!
Answer:
where is the probleM?
Step-by-step explanation:
A sled team consists of 11 dogs and the musher. Each dog weighs 70 pounds and the musher weighs 160 pounds. What is the average weight of the sled team members?
a
68.5 pounds
b
115 pounds
c
73.5 pounds
d
77.5 pounds
The average weight of the sled team members is 77.5
What is an average value?Average value can be calculated by finding the sum of a set of numbers then count the total number, then divide the sum with the number of the counted values.
To calculate the average weight of the sled team members, then we know that there are 11 dogs and the musher, which implies that there are total number of 12 animals.
Then we can find the total number of the dogs as (11*70) =770 dogs, then we can add to the musher which makes the total number of (770+160)=930
Then the average weight of the sled team members is [tex]\frac{930}{12} =77.5[/tex]
Therefore, option D is correct.
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Find the average rate of change of the function: f(x)=x²-3 between the values [3,5]
Answer: 4
hope it helps
b =x/m(a-x)
Make x the subject of this equation.
Answer:
[tex]x= \dfrac{bma}{bm+1}[/tex]
Explanation:
Given expression:
[tex]\hookrightarrow b = \dfrac{x}{m(a-x)}[/tex]
shift the variables
[tex]\hookrightarrow b m(a-x)= x[/tex]
distribute inside parenthesis
[tex]\hookrightarrow bma-bmx= x[/tex]
collect terms with "x" in one side
[tex]\hookrightarrow -bmx-x= -bma[/tex]
divide both sides by -1
[tex]\hookrightarrow bmx+x= bma[/tex]
factor out common term "x"
[tex]\hookrightarrow x(bm+1)= bma[/tex]
shift the variables making "x" the subject
[tex]\hookrightarrow x= \dfrac{bma}{bm+1}[/tex]
Multiply. 6 1/4 x 3 3/5 = 18 3/20 18 17/20 22 1/2 22 1/20
On multiplying two fractional terms [tex]6\frac{1}{4}[/tex] X [tex]3 \frac{3}{5}[/tex] we get [tex]22\frac{1}{2}[/tex] as a result.
multiplication- it is an operation that represent the basic idea hope repeated addition of the same number.
It is used to simplify the task it is used when we need to combine groups of equal size.mixed fraction - it is represented with its quotient and remainder.
it contains a whole number and a proper fraction.To solve above equation firstly solve mixed fraction.
[tex]6\frac{1}{4}[/tex] = 25/4
[tex]3 \frac{3}{5}[/tex] = 18/5
then on multiplying them we get
[tex]6\frac{1}{4}[/tex] X [tex]3 \frac{3}{5}[/tex] = 25/4 X 18/5
= 45/2
=[tex]22\frac{1}{2}[/tex]
[tex]6\frac{1}{4}[/tex] X [tex]3 \frac{3}{5}[/tex] = [tex]22\frac{1}{2}[/tex]
On multiplying two fractional terms [tex]6\frac{1}{4}[/tex] X [tex]3 \frac{3}{5}[/tex] we get [tex]22\frac{1}{2}[/tex] as a result.
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la razon de hombres a mujeres que trabajan en una campañia es de 4 a 7. Si hay 143 empleados en total ¿Cuantas mujeres trabajan en la compañia?
In a company of 143 employees, the number of women working in the company is 91.
The quantitative relation is outlined because the comparison of 2 quantities of a similar units that indicates what proportion} of 1 amount is gift within the alternative quantity.Ratios may be classified into 2 varieties. One half|is a component|is an element} to part quantitative relation and also the alternative is an element to whole quantitative relation.Given,
Men : Women = 4 : 7
Total number of employees = 143
Let us take a multiplying factor of x
This implies, Number of men = 4x , Number of women = 7x
Using the given data, we get 4x + 7x = 143
11x = 143
x = 143 / 11
x = 13
Number of men = 4x = 4 (13) = 52
Number of women = 7 (13) = 91
Therefore, using the concept of RATIO, we get the number of women working in the company as 91.
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The complete question is given below.
The question given in Spanish when translated in English states that :The ratio of men to women working in a company is 4 to 7. If there are 143 employees in total, how many women work in the company?
Determine which answer in the solution set will make the equation true.
4p + 5 = 6p − 15
S: {−10, 0, 10, 20}
0
−10
20
10
The answer in the solution set that will make the equation true is 10
How to determine which answer in the solution set will make the equation true?The equation is given as
4p + 5 = 6p - 15
Collect the like terms in the above equation
So, we have
4p - 6p = -5 -15
Evaluate the like terms
So, we have
-2p = -20
Divide both sides by -2
So, we have
p = 10
Hence, the answer in the solution set that will make the equation true is 10
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