Answer:
"The electrician charges an initial fee of $42", AND "The electrician charges $22 for every hour worked" is true.
Step-by-step explanation:
The equation is y=22x+42.
The formula is y=mx+b.
m is the slope, or is this case, the number of dollars for every "x", which is the number of hours worked. So you have to pay $22 for every hour the electrician works.
b is the y-intercept, or the amount it starts with, in this case, you have to pay a fee of $42 even when the electrician worked 0 hours. This is because $42 is the amount it starts with.
On a graph, the line will start at (0,42) because that is when you start paying. And then it will increase by 22 for each hour, so the next coordinate would be (1,64).
The equation y = 22x + 42 indicates that an electrician charges a base fee of $42, plus an additional $22 for every hour worked. Thus, the correct statements are 'The electrician charges an initial fee of $42' and 'The electrician charges $22 for every hour worked.'
Explanation:The equation y = 22x + 42 is a linear function where the y-variable represents the total dollars the electrician charges and the x-variable represents the number of hours worked. From this equation, we can immediately discern two truths:
The electrician charges an initial fee of $42. This is the y-intercept of the function, indicating the base charge before any work has been done.The electrician charges $22 for every hour worked. This is the slope, or 'm', of the function and indicates the rate at which the total cost changes per hour of work.Learn more about Linear Function Interpretation here:https://brainly.com/question/32914656
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an equation for a line in the plane allows you to find x- and y-coordinates of any point on that line true or false?
Answer:
True
Step-by-step explanation:
When you are given an equation of a line in the plane, it´s like if they´ve given you the map to a line, and in this case it´s really easy to calculate the value of the different points on X and Y and by that you just have to immagine a value for one of the variables to calculate the other one, most cases is always X the one that you give the value to, and then you just calculate the Y.
Answer:
True.
Step-by-step explanation:
An equation for a line in the plane allows you to find x- and y-coordinates of any point on that line.
how can the correlation in the scatter plot graph below best be described?
positive correlation
negative correlation
both positive and negative
no correlation
Answer:
Option B is correct
Step-by-step explanation:
The graph represent the negative correlation.
In negative correlation there is inverse relationship between two variables. If value of one variable is increasing then the value of other variable is decreasing.
As seen from the graph when the value of x is increasing the value of variable y is decreasing
So, Option B negative correlation is correct.
Please help
Me. Which is equivalent
ANSWER
The equivalent form is 8.
EXPLANATION
The given expression is
[tex] ({16}^{ \frac{3}{2} } )^{ \frac{1}{2} } [/tex]
This is the same as:
[tex] {16}^{ \frac{3}{2} \times \frac{1}{2} } [/tex]
[tex]{16}^{ \frac{3}{4}} [/tex]
[tex]{16}^{ \frac{3}{4}} = { {2}^{4 \times } }^{ \frac{3}{4}} [/tex]
We cancel out the common factors in the exponents to get,
[tex]{2}^{3} = 8[/tex]
The correct answer is B.
find the weight in pounds of a 140-kilogram person. Round to the nearest hundredth
Answer:
308.65 Pounds
Step-by-step explanation:
Since one kilogram is 2.20462 pounds you can multiply 140 by 2.20462 to get 308.6468 and rounded to the nearest hundredth it would be 308.65.
The weight of a 140 kilogram person in pounds is approximately 308.64 pounds, when rounded to the nearest hundredth.
Explanation:To find the weight of a 140-kilogram person in pounds, we first need to understand that weight is a measure of the force of gravity on an object and can be calculated by multiplying the mass of the object by the acceleration due to gravity.
However, here, we are converting kilograms to pounds, which is a conversion of mass units, not weight. The conversion factor from kilograms to pounds is approximately 2.2046.
Therefore, to convert 140 kilograms into pounds, we multiply 140 by 2.2046:
140 kg * 2.2046 = 308.644 pounds.
And rounded to the nearest hundredth, we get 308.64 pounds.
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a community group sells 2000 tickets for its raffle. the grand prize is a car. neil and 9 of his friends buy 10 tickets each. when the winning number is announced, it is found to belong to neil's group. given the information, what is the probability that the ticket belongs to neil?
Answer:
1/10
Step-by-step explanation:
it costs Casey $52.50 to buy 14 gallons of gas. What was the cost per gallon of gas?
Answer:
3.75
Step-by-step explanation:
It would cost Casey $3.75
If you divide 52.50 by 14 you get 3.75
this is a way to find the cost of one gallon
Hope this helps :)
If it does please mark brainliest :D
- A.Hazle <3
Is the orthocenter of a triangle on the inside ?
Answer:
It turns out that all three altitudes always intersect at the same point - the so-called orthocenter of the triangle. The orthocenter is not always inside the triangle. If the triangle is obtuse, it will be outside. To make this happen the altitude lines have to be extended so they cross.
12 is 60%, percent of what number?
To solve this you must use a proportion like so...
[tex]\frac{part}{whole} = \frac{part}{whole}[/tex]
60 is a percent and percents are always taken out of the 100. This means that one proportion will have 60 as the part and 100 as the whole
We want to know out of what number is 12 60%. This means 12 is the part and the unknown (let's make this x) is the whole
[tex]\frac{12}{x} =\frac{60}{100}[/tex]
Now you must cross multiply
12*100 = 60*x
1200 = 60x
To isolate x divide 60 to both sides
1200/60 = 60x/60
20 = x
This means that 60% of 20 is 12
Hope this helped!
~Just a girl in love with Shawn Mendes
The number that 60% of 20 is 12.
We know that 60 is a percent and percent is always taken out of the 100. which means that one proportion will have 60 as the part and 100 as the whole
We need to know out of what number is 12 60%. This means 12 is the part and the unknown, x is the whole
Now we must cross multiply;
12*100 = 60*x
1200 = 60x
To isolate x divide 60 to both side;
1200/60 = 60x/60
20 = x
This, means that 60% of 20 is 12
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Which system of linear inequalities is graphed?
Answer:
[tex]x<-2\\\\y\leq-x-2[/tex]
Step-by-step explanation:
From the given graph , the shaded region is bounded by two lines ( one is dotted and another is solid line).
Dotted line : It is parallel to y-axis and intersecting the x -axis at .
so the equation of the line is x=-2.
But it is represented in dotted form it means the inequality sign used here is strictly less than.
i.e. the equation for dotted line = [tex]x<-2[/tex]
Solid line : It is passing through (-2,0) and (-1,-1).
Equation of line passing through (a,b) and (c,d) :-
[tex](y-a)=\dfrac{d-b}{c-a}(x-b)[/tex]
Then equation of sold line:
[tex](y-0)=\dfrac{-1-0}{-1-(-2)}(x-(-2))\\\\\Rightarrow\ y=\dfrac{-1}{-1+2}(x+2)\\\\\Rightarrow\ y=\dfrac{-1}{1}(x+2)\\\\\Rightarrow\ y=-x-2[/tex]
Hence, the inequality represents solid line(≤)= [tex]y\leq-x-2[/tex]
Hence, the system of linear inequalities is graphed will be :-
[tex]x<-2\\\\y\leq-x-2[/tex]
If a quadratic equation has a real root, what do you know about the other roots of the equation? Explain.
Answer:
A Quadratic Equation can have upto 2 roots maximum. So,if one of the roots is a Real number, there are following two possibilities:
1) The other root is also a real number, but a different number
2) Its a repeated root, so the other root is the same number.
The other root cannot be a complex number as its not possible for one root to be real and other to be complex. Either no root will be complex or both will be complex roots.
Following are 3 possibilities for the roots of a quadratic equation:
2 Real and Distinct roots2 Real and Equal roots2 Complex rootsPlease answer ASAP first to answer correctly gets brainly
Grace completed 3 dives in a school diving competition. Her scores were 9.7, 8.6, and 9.3. What is her average score?
A) 9.0
B) 9.2
C) 9.4
D) 9.8
Answer:
B) 9.2
Step-by-step explanation:
To find an average, you have to combine all of your numbers and then divide by how many there are.
So first, combine the values.
9.7 + 8.6 + 9.3 = 27.6
Now, divide by how many numbers you had, which is 3.
27.6 ÷ 3 = 9.2
Firstly , combine the all values
[tex]9.7 + 8.6 + 9.3 = 27.6[/tex]
Now , divided by 3
[tex] 27.6 \div 3 \\ \\ \frac{27.6}{3} \\ \\ 9.2 [/tex]
The correct answer is 9.2 - option (b) (✔)
Which of the following values have 3 significant figures? Check all that apply.
A. 10.1
B. 100.05
C. 120
D. 129
Answer:
A.
Step-by-step explanation:
To find a significant figure you just count how many numbers are before and after the decimal place but if the first number is zero then it does not count.
Final answer:
The values with 3 significant figures are A. 10.1 and D. 129, as non-zero numbers are always significant, and there are no leading, captive, or trailing zeros to consider in these cases.
Explanation:
The values that have 3 significant figures are:
A. 10.1
D. 129
In A, all the digits are significant because they are all non-zero numbers. In D, similarly, all digits are significant since non-zero numbers are always counted as significant figures.
For the options not chosen:
B. 100.05 has 5 significant figures because zeros between non-zero numbers are significant and so are the ending non-zero numbers.
C. 120 may be seen as having 2 or 3 significant figures depending on whether the zero is considered significant; additional context such as writing the number in scientific notation or a decimal point (120.) is needed to clarify its significance.
Which expressions are equivalent to K/2
Choose 2 answers:
A k-2
B 2/k
C 1/2k
D k/2
E k+k
Answer:
C and D
Step-by-step explanation:
D is the exact same.
For C this is already proven but you can test this by choosing any number for K (4) and multiply it by 1/2. You get 2 which is the same as 4/2.
The expression which is equivalent to the expression, K/2 is; Choice D: k/2.
According to the question;
We are required to determine the expression which is equivalent to k/2.Among the choices; Choice D: k/2 is the exact same as the expression K/2.
However, Choice C if written as (1/2)k is equivalent to k/2 as they both mean half of k.
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I am rectangle. Each of my shorter sides measures 5 meters. My area is 45 sq.meters. What is the length of each of my longer sides?
Answer:
9
Step-by-step explanation:
9x5 is 45
simplify the equation 11-1 [19- (2+15)]
Answer: 8
Step-by-step explanation:
11-1 [19- (2+15)]
Step 1: 11-1 (19-17)
Step 2: 11-1+2
Step 3: 11-3
Step 4: 8
Hope it helps!!!
Answer:
Step-by-step explanation:
9
Is 262,015 divisible by 4
Answer:
no
Step-by-step explanation:
to know if a number is divisible by 4, you need to look only at the last two digits and see if that is divisible, 15 is not divisible by 4 and therefore the whole number isnt.
if you tried to divided 262,015 by 4 you would get 65503.75, a decimial so not divisible
Answer:
No, 262,015 will not divide evenly into 4.
Step-by-step explanation:
262,015 ÷ 4 = 65503.75.
Therefore, it will not divide evenly into 4.
Another way to do this is to check if the last two digits are divisible by 4.
The last two digits are 15. 15 is not divisible by 4. Therefore, the entire number will not be divisible by 4.
The solution to an inequality is (–∞, 6.5]. Is 6.5 a solution to the inequality? Explain your answer.
The closing bracket ']' in the inequality solution set (–∞, 6.5] indicates that 6.5 is included, making it a solution to the inequality.
The solution to an inequality is (–∞, 6.5]. To determine if 6.5 is a solution to the inequality, we look at the notation used. The parenthesis '(' indicates that the number at this end of the interval is not included in the solution set, while the bracket ']' indicates that the number at this end is included. Since 6.5 is associated with a closing bracket, it means that 6.5 is indeed a solution to the inequality. Therefore, any number less than or equal to 6.5 is a solution to this particular inequality.
The correct explanation among the given options is the following:
"The solution includes numbers from negative infinity to 6.5. Because a bracket is used, the solution includes 6.5."
In interval notation, brackets ([ and ]) indicate that the endpoint is included in the solution, while parentheses (( and )) indicate that the endpoint is not included.
Here, with (-∞, 6.5], the closing bracket means 6.5 is included in the solution to the inequality.
Thus, 6.5 is a valid solution to the inequality.
The complete question is : The solution to an inequality is (-, 6.5]. Is 6.5 a solution to the inequality? Explain your answer
The solution includes numbers from negative infinity to 6.5. Because a bracket is used, the salution does not
include 6.5. The solution includes numbers from 6.5 to infinity. Because a parenthesis is used, the solution does not include 6.5.
The solution is the point(, 6.5). Because a bracket is used, 6.5 is a solution to the inequality.
The solution includes numbers from negative infinity to 6.5. Because a bracket is used, the solution includes 6.5.
I need help with this it’s geometry Pythagorean theorem
Answer:
E)82
Step-by-step explanation:
The formula is
A^2 + B^2= C^2
the two sides that make up the right angle is always A and B
Answer:
E
Step-by-step explanation:
Since the triangle is right use Pythagoras' theorem to solve for BC
The square on the hypotenuse (BC) is equal to the sum of the squares on the other 2 sides, that is
BC² = 80² + 18² = 6400 + 324 = 6724 ( take the square root of both sides )
BC = [tex]\sqrt{6724}[/tex] = 82 → E
Which of the following equations represents a quadratic function?
Answer:
I think B is right because,
5x-3y=-6
or,5x_3y+6=o
now,we representing quadratic formula
The equation that represents a quadratic function is y = 2x² - 12x + 9
Which of the equations represents a quadratic function?
From the question, we have the following parameters that can be used in our computation:
The equations
By definition
A quadratic function is represented as any of the following forms
y = ax² + bx + c
y = a(x - h)² + k
Using the above as a guide, we have the following:
The equation that is a quadratic function is y = 2x² - 12x + 9
Others are not quadratic functions
use the squared identities to simplify 2 cos^2 x cos^2 x
Answer:
Option A
Step-by-step explanation:
Eric wants to sell his car that he paid $7,000 for 3 years ago. The car depreciated, or decreased in value, at a constant rate each month over a 3-year period. If x represents the monthly depreciation amount, which expression shows how much Eric can sell his car for today?
A.7,000 − 3x
B.7,000 + 3x
C.7,000 − 36x
D.7,000 + 36x
Answer:
Option C. 7,000 − 36x
Step-by-step explanation:
Let
y ----> depreciated value of the car
x---> rate of depreciation
t ----> the time in months
we know that
The linear equation that represent this situation is
y=7,000-xt
For
t=3 years
Convert to months
t=3*12=36 months
substitute
y=7,000-x(36)
y=7,000-36x
what is x + 1 = 9 ?? fill in the x
Answer:
x=8
Step-by-step explanation:
Cause 8+1 =9
Answer:
8
Explanation:
to get the answer we have to use the opposite of addition which is subtraction. we flip around the equation so now it would be 9 - 1 = ?
9 minus 1 is 8.
that is how you get the answer.
Which of the following number sentences is an example of the identity property of addition?
16 × 0 = 0
8 + 0 = 8
1 × 4 = 4
1 + 11 = 11 + 1
factor -7x^3+21x^2+3x-9 by grouping. what is the resulting expression?
a) (3-7x)(x^2-3)
b) (7x-3)(3-x^2)
c) (3-7x^2)(x-3)
d) (7x^2-3)(3+x)
Answer:
c) (3-7x^2)(x-3)
Step-by-step explanation:
-7x^3+21x^2+3x-9
Factor out a -7x^2 from the first two terms and a 3 from the last two terms
-7x^2 (x -3) +3(x-3)
Now factor out (x-3)
(x-3) (-7x^2+3)
Rearranging)
(x-3) (3-7x^2)
Five out of eight cousins can do 15 push-ups in one set. Write a decimal that is equivalent to the fraction of cousins who can do 15 push-ups. Round your decimal to the nearest hundredth.
Answer:
0.63
Step-by-step explanation:
The fraction is 5/8. It is equivalent to ...
5/8 = (5·125)/(8·125) = 625/1000 = 0.625
This exact decimal equivalent rounds to 0.63.
_____
It can be useful to memorize the decimal equivalents of common fractions, including multiples of 1/3, 1/4, 1/5, 1/6, 1/7, 1/8, 1/9, 1/10.
Ashley took out a $1500 loan and promises to pay it back with 5% interest after 18 months. How much interest would she have to pay back?
Answer:
75.00
Step-by-step explanation:
1500*0.05
because 5% is her interest you convert 5% into a decimal = 0.05
then you multiply 1500 by 0.05 and you get 75.00
Which table of ordered pairs represents a proportional relationship
[tex]\textbf{$\left[\begin{array}{cc}x & y\\-3 & 12\\-6 & 24\\-9 & 36\end{array}\right]$}[/tex]
Step-by-step explanation:Two variables have a proportional relationship if the ratios are equivalent. In other words, in this type of cases two quantities vary directly with each other, so we can write this in a mathematical language as follows:
[tex]y=kx[/tex]
Here [tex]k[/tex] is the slope of the linear equation defined above. So, verifying that k is constant we have:
[tex]k=\frac{24-12}{-6-(-3))}=\frac{36-24}{-9-(-6)}=\frac{36-12}{-9-(-3)}=-4 \\ \\ \therefore \boxed{k=-4}[/tex]
One way to prove this is by writing the equation that represents the table. From the two-point intercept form of the equation of a line we have:
[tex]y-y_{1}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}(x-x_{1}) \\ \\ P(x_{1},y_{1})=P(-3,12) \\ \\ P(x_{2},y_{2})=P(-6,24) \\ \\ Subtituting \ x_{1}, x_{2}, y_{1}, y_{2}: \\ \\ y-12=\frac{24-12}{-6-(-3)}(x-(-3)) \\ \\ y-12=-4(x+3) \\ \\ Solving: \\ \\ y-12=-4x-12 \\ \\ Adding \ 12 \ to \ both \ sides: \\ \\ y-12+12=-4x-12+12 \\ \\ \boxed{y=-4x}[/tex]
So, this implies that the ordered pairs of the last option represent a proportional relationship
Answer:
Last table is the answerStep-by-step explanation:
In this case, an proportional realtionship refer to the existence of a contant ratio of change between variables, that is, each y-value can be found by multiplying each x-value with this constant ratio of change.
So, notice that in the first table, is we multiply by four, you can get the first two pairs, but the last one doesn't fall into the ratio. That's not the answer.
Similarly, the second table doesn't have a constant ratio of change, because the last pair has different ratio.
However, the last table shows a constant ratio of change, because each x-value can be multiplied by -4, to get each y-value, that is
-3 x -4 = 12
-6 x -4 = 24
-9 x -4 = 36
Therefore, the right answer is the last table.
Calculate the work done. A tractor pulls a heavy log with a force of 100 pounds. The log moves 3 feet.
1,000 ft-lbs
3,000 ft-lbs
130 ft-lbs
300 ft-lbs
Answer:
300 ft-lbs
Step-by-step explanation:
For work like this,
Just multiply 100 times 3.
You always just multiply the two numbers
Example:
Calculate the work done.
A crane lifts 5,000 newtons to the top of a roof which is 6 meters high.
3,000 ft-lbs
30,000 Nm
5,000 Nm
300 Nm
5,000 x 6 = 30,00
it can also be done like this
5 x 6 = 30
+ 00 = 30,00
The work done is 300 ft-lbs, the correct option is D.
What is the work done?The multiplication of the magnitude of displacement d and the component of the force that is in the direction of displacement is called work done.
Work done is positive when the energy leaves the system. Here, the system is making an effort on the surroundings.
A tractor pulls a heavy log with a force of 100 pounds.
The log moves 3 feet.
The work done is given by;
[tex]\rm Work \ done=Force \times Displacement\\\\Work \ done= 100 \times 3 \\\\Work \ done=300\ ft-lbs[/tex]
Hence, the work done is 300 ft-lbs, the correct option is D.
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Geometry teacher Plz help me
Check the picture below.
The measure of an angle formed by intersecting secants is half the sum of the measures of the intercepted arcs is: [tex]\[m\angle L = \frac{1}{2}(mAB + mCD)\][/tex]
The correct option is (B).
The problem step by step:
1. Given Information:
- We have a circle with intersecting secants labeled as A, B, C, and D.
- We need to find the correct equation that describes the relationship between the measures of angles and arcs formed by these intersecting secants.
2. Understanding the Problem:
- When two secants intersect inside a circle, they create several angles and arcs.
- Let's focus on angle[tex]\(m\angle L\)[/tex] and the corresponding arcs AB and CD.
3. Relationship Between Angle and Arc:
- The measure of an angle formed by intersecting secants is half the sum of the measures of the intercepted arcs.
- In other words:
[tex]\[m\angle L = \frac{1}{2}(mAB + mCD)\][/tex]
4. Answer:
- The correct equation is:
[tex]\[m\angle L = \frac{1}{2}(mAB + mCD)\][/tex]
The lines graphed below are parallel.the slope of the slope of red line is 2/5 .what is the slope of the green line
Answer:
[tex]\large\boxed{\text{the sloe}\ m=\dfrac{2}{3}}[/tex]
Step-by-step explanation:
[tex]\text{Let}\\\\k:y=m_1x+b_1\\\\l:y=m_2x+b_2\\\\l\ \parallel\ k\iff m_1=m_2\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}[/tex]
[tex]\text{We have the slope}\ m_1=\dfrac{2}{5}.\\\\\text{The slope of parallel line is the same:}\ m_2=\dfrac{2}{5}[/tex]