Answers
Answer:
x = 7. Answer Choice A
Step-by-step explanation:
We first use the point slope formula to find an equation for this line.
\(y-14=\frac{21}{2} (x-9)\). We can simplify this to \(y=\frac{21}{2}x-\frac{161}{2}\).
We can substitute in -7 for the y value and continue to solve for x.
\(-7=\frac{21}{2}x-\frac{161}{2}\)
Solving this equation, we find that x = 7.
Related Questions
Expression 1 is -12x + 3
Expression 2 is 10x - 15x + 96
Write an expression to represent expression 2 being subtracted from expression 1.
Answers
Answer:
-12 + 3 - (10x - 15x + 96)
Step-by-step explanation:
Solve:(6x^2+5x+1)÷(x+2)
Answers
Answer:
6x+6x2+3
Step-by-step explanation:
6x2+5x+1+x+2
Combine 5x and x to get 6x.
6x2+6x+1+2
Add 1 and 2 to get 3.
6x2+6x+3
Best and Correct answer gets Brainliest!!!
Answers
Answer:
Line A
Step-by-step explanation:
Line A crosses 5 at y when it hits 1 at x, meaning that constant of proportionality is 5. Trust me ; D.
Divide: 3/8 ÷ 5/12 = ?
Answers
flip 5/12 to be 12/5 to make this equation multiplication
3/8*12/5 = 36/40 = 18/20 = 9/10
The solution of expression is,
⇒ 9 / 10
We have to given that;
To Divide,
⇒ 3/8 ÷ 5/12
Now, We can divide the numbers as;
⇒ 3/8 ÷ 5/12
⇒ 3/8 × 12/5
⇒ 36 / 40
⇒ 18/20
⇒ 9 / 10
Thus, The solution of expression is,
⇒ 9 / 10
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A carpenter takes a board that is 78 inches long and cuts a piece 29 inches long off of it. The
length of the remaining board is
inches.
Answers
Answer:
79 inches
Step-by-step explanation:
hope it helps:)
please help me solve this
Answers
The area of triangle EFG is given as follows:
A = 18.63 square units.
How to obtain the area of a triangle?The area of a rectangle of base b and height h is given by half the multiplication of dimensions, according to the formula presented as follows:
A = 0.5bh
The base is given by segment EF as follows:
\(EF = \sqrt{(9 - 4)^2 + (-7 -(-9))^2}\)
EF = 5.4.
The midpoint of EF is given as follows:
M(6.5, -8).
The height is given by the segment MG as follows:
\(MG = \sqrt{(6.5 - 3)^2 + (-2 - (-8))^2}\)
MG = 6.9.
Hence the area is given as follows:
A = 0.5bh
A = 0.5 x 5.4 x 6.9
A = 18.63 square units.
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What is the slope of a line perpendicular to y=-7/4x?
O A. - 4
O B. - 7
O c.
7
4
O D. 4
Answers
Twenty years ago, 51% of parents of children in high school felt it was a
serious problem that high school students were not being taught
enough math and science. A recent survey found that 232 of 700
parents of children in high school felt it was a serious problem that high
school students were not being taught enough math and science. Do
parents feel differently today than they did twenty years ago? Use the
α = 0.1 level of significance
Answers
No the parents do not feel differently as they used to feel twenty years ago
Given :-
Po: p=0.46
Pa: p NE 0.46
alpha=0.01
Test statistic is one sample proportion \(z=(phat-p)/\sqrt{{ {0.46)(0.54)/800}}\)
Critical value z> |2.576|
z=0.025/0.0176
=1.418
This is a p-value of 0.078
Fail to reject Po and insufficient evidence to support the claim that parents feel differently.
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Bartholomew is making a scale model of a cruise ship based on a scale of 1 cm = 9 yd. If the model of the ship is 27 cm long, what is the length of the actual cruise ship?
A.
243 yd
B.
270 yd
C.
36 yd
D.
18 yd
Answers
Answer:
A
Step-by-step explanation:
9*27=243. If 1cm=9yd, then 27 cm would have to be multiplied by 9 too.
Please help!!!!!!! 100 points
Answers
Answer:
ur missing:
images
materials list
sequential steps
title
Step-by-step explanation:
I was also looking for an answer lol!
table 69-3: employment and output) in the table, if the price of a bushel of wheat is $10, then the value of the marginal product of the fifth worker is: a $110. b $11. c $90. d $750. e $640.
Answers
The value of the marginal product of the fifth worker is $11.
Why is marginal product?
Marginal product is an analysis of the output that results from engaging an additional unit of input, such as labor. The concept of the marginal product compares the benefits derived from one more unit against the cost of producing it.
The value of the marginal product is the increase in total production resulting from the addition of one more unit of a factor of production, in this case, one more worker. It is calculated by multiplying the marginal product of the worker (the additional amount of wheat produced by the worker) by the price of the wheat.
If the price of a bushel of wheat is $10 and the marginal product of the fifth worker is 10 bushels, then the value of the marginal product of the fifth worker is $10 x 10 = $11.
Hence, The value of the marginal product of the fifth worker is $11.
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Karen finished watching a movie at 1:10 pm. The movie lasted 1 hour and 38 minutes. What is the time that karen started watching the movie
Answers
Answer:
11:32:00 AM
Step-by-step explanation:
what steps are needed to find the equation of a line given the graph?
Answers
The equation of the line is y = x.
To find the equation of a line given its graph, you need to follow the steps below.
Step 1: Determine the slope of the line.The slope of the line can be determined using the formula: slope = rise/run or m = Δy/Δx. Rise is the change in the y-coordinates and run is the change in the x-coordinates.
Step 2: Determine the y-intercept of the line.The y-intercept is the point where the line intersects the y-axis. You can determine the y-intercept by looking at the point where the line crosses the y-axis on the graph. The y-intercept is denoted by the letter b.
Step 3: Write the equation of the lineThe equation of the line can be written in slope-intercept form, which is y = mx + b. The slope (m) and y-intercept (b) that were determined in steps 1 and 2 are used to substitute into this equation. Thus, the equation of the line becomes y = slope(x) + y-intercept.
Example:Let's say you are given the graph of a line below: .
Step 1: Determine the slope of the line.To determine the slope of the line, you need to choose two points on the line and calculate the rise and run. Let's choose the points (2, 1) and (4, 3). The rise is 2 (3 - 1) and the run is 2 (4 - 2). Therefore, the slope of the line is: m = 2/2 = 1.
Step 2: Determine the y-intercept of the lineThe line crosses the y-axis at the point (0, 0). Therefore, the y-intercept of the line is b = 0.
Step 3: Write the equation of the line.The equation of the line in slope-intercept form is y = mx + b. Substituting the slope and y-intercept into this equation gives: y = 1x + 0 or y = x.
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NEED HELP ASAP!!
What is the equation of the line that is parallel to the
given line and has an x-intercept of -3?
O y = x + 3
O y = ?X + 2
Oy=-3x + 3
y=-3x+2
Answers
Answer:
B
Step-by-step explanation:
The equation of the line that is parallel to the given line and has an x-intercept of -3 is y= 2/3x + 2.
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the
change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
We have a graph.
So, slope of line in graph is
= (-1-1)/ (0.-3)
= -2/ (-3)
= 2/3
and, we know that two parallel line have same slope.
so, the slope of parallel line is 2/3 and the x intercept is -3.
So, the Equation line is y= 2/3 x + b
0 = 2/3 (-3) +b
b= 2
Thus, the required equation is y= 2/3x + 2.
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what is the velocity of a bus that travels 310 km south in 5 hours
Answers
Answer:
1550
310 x 5 = 1550
Step-by-step explanation:
Velocity/Speed = Distance covered/Time taken
= 310/5
= 62Km/hr
9. Express 400cm3 as a fraction of 2 litres
in the lowest form. *
options
1/10
1/5
2/5
Answers
Answer:
\(\boxed{\red{\frac{1}{5} }}\)
Step-by-step explanation:
\(400 {cm}^{3} = 400ml \\ 2l = 2000ml\)
So, now we have to write 400cm^3 as a fraction of 2l
\( \frac{400}{2000} = \frac{4}{20} = \frac{1}{5} \)
which expression is equivalent to 4(6x+11) A.68 B.68x C.24x+11 D.24x+44
Answers
\(\huge\text{Hey there!}\)
\(\large\text{4(6x + 11)}\)
\(\large\text{Distribute}\)
\(\large\text{4(6x) + 4(11)}\)
\(\large\text{4(6x) = 24x}\)
\(\large\text{4(11) = 44}\)
\(\large\text{= 24x + 44}\)
\(\boxed{\boxed{\large\text{Answer: \bf{24x + 44}}}}\huge\checkmark\) ☑️
\(\text{Good luck on your assignment and enjoy your day!}\)
~\(\frak{Amphitrite1040:)}\)
The function f(1) = 60,000(2)
00(2) 410 gives the number
of bacteria in a population & minutes after an initial
observation. How much time, in minutes, does it
take for the number of bacteria in the population to
double?
Answers
It takes 10 minutes for the number of bacteria in the population to double.
To determine the time it takes for the number of bacteria in a population to double, we need to find the value of t when the function f(t) equals twice the initial number of bacteria.
The given function is f(t) = 60,000 * 2^(t/10).
To find the time it takes for the number of bacteria to double, we set f(t) equal to twice the initial number of bacteria, which is 2 * 60,000 = 120,000:
120,000 = 60,000 * 2^(t/10).
Next, we can simplify the equation by dividing both sides by 60,000:
2 = 2^(t/10).
Since both sides of the equation have the same base (2), we can equate the exponents:
t/10 = 1.
To solve for t, we multiply both sides by 10:
t = 10.
Therefore, it takes 10 minutes for the number of bacteria in the population to double.
This result is obtained by setting the growth rate of the bacteria population in the given function. The exponent t/10 determines the rate of growth, and when t is equal to 10, the exponent becomes 1, resulting in a doubling of the initial number of bacteria.
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A merchant could sell one model of digital cameras at list price and receive $231 for all of them. If he had four more cameras, he could sell each one for $12 less and still receive $231. Find the list price of each camera.
Answers
If x cameras are sold at price c each one, the total earning is $231, so we can write the following equation:
\(x\cdot c=231\)Then, if x+4 cameras are sold at price c-12 each one, the total earning is still $231, so we can write a second equation:
\((x+4)(c-12)=231\)Let's equate the right sides of each equation, since they have the same value:
\(\begin{gathered} x\cdot c=(x+4)(c-12)\\ \\ xc=xc-12x+4c-48\\ \\ -12x+4c-48=0\\ \\ -3x+c=12\\ \\ 3x=c-12\\ \\ x=\frac{c}{3}-4 \end{gathered}\)Now, let's use this value of x in the first equation and solve it for c:
\(\begin{gathered} (\frac{c}{3}-4)c=231\\ \\ \frac{c^2}{3}-4c=231\\ \\ c^2-12c=693\\ \\ c^2-12c-693=0\\ \\ c=\frac{12\pm\sqrt{144+4\cdot693}}{2}\\ \\ c_1=33\\ \\ c_2=-21 \end{gathered}\)Since a negative cost is not valid, the answer is 33.
What are implications of Constructivist approach in teaching mathematics?
Answers
The implications of Constructivist approach in teaching mathematics is that it helps the students to develop a better way to comprehend the content of what they are being taught.
What is a constructive approach of teaching mathematics?A constructive approach of teaching mathematics believes that students construct knowledge rather than just passively take in information.
A constructive approach of teaching also believes that students integrate new knowledge with existing knowledge to create a deeper understanding of the mathematics being taught to them.
Therefore, constructive approach of teaching can help the students to comprehend the content of what they are being taught.
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1. When an oil tank contains 420 litres of oil it is 30% full. How many more litres can it hold?
2. A car travels 92 km on 12 litres of gas. How many litres is it likely to need for 230 km?
3. In the Caribbean, the first $14 300.00 of income is non-taxable. The remaining income is taxed at 25%. Other deductions from the income are:
Education Tax 2%
Housing Trust 2%
National Insurance 2 ½ % (each as a percent of the gross income).
A man has an income of $18540.00. Calculate:
(a) His annual tax
(b) His monthly income after tax
Answers
1. Proportionately, the oil tank can hold additional 980 liters of oil.
2. Proportionately, using the division multiplication operations, the car will require 30 liters of gas to travel 230 km since it can travel 92 km on 12 liters.
3. The calculation of the Caribbean man's annual tax and monthly income after tax is as follows:
(a) His annual tax = $2,265.10
(b) His monthly income after tax = $1,356.24.
What is proportion?Proportion is the relative numerical value between two values.
Proportion shows the ratio relationship of two values equated to each other.
a) The content of an oil tank = 420 liters
The percentage of the content = 30%
The 100% content of the oil tank = 1,400 liters (420 ÷0.3)
The additional content to make the oil tank full (100%) = 980 liters(1,400 x 70%)
b) The number of liters of gas to travel 92 km = 12 liters
To travel 230 km, the car will require = 30 liters of gas (12/92 x 230)
c) First non-taxable income = $14,300
Income tax rate = 25%
Gross income = $18,540
Non-taxable income 14,300
Taxable income = $4,240 ($18,540 - $14,300)
Income tax = $1,060 ($4,240 x 25%)
Other deductions:
Education Tax 2%: $370.80 ($18,540 x 2%)
Housing Trust 2%: $370.80 ($18,540 x 2%)
National Insurance 2½%: $463.50 ($18,540 x 2½%)
Total annual tax = $2,265.10
Annual net income = $16,274.90 ($18,540 - $2,265.10)
Monthly income after tax = $1,356.24 ($16,274.90 ÷ 12)
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please help, I suck
Answers
Answer:
I believe the equation using slope intercept form is Y= (1)x + -1
Step-by-step explanation:
The line is going down, it hits the y axis at -1, and it goes down one and over one
Hope this helps and have a great day :)
guys i swar this is the last one just this one and thats it <3
Answers
Answer:
Choice B is the closest
Step-by-step explanation:
A-lateral = 2πrh
r = D/2 = 16.5/2 = 8.25
h = 14
A = 2π(8.25)(14) = 725.7 in²
plz help!
if sin° =3/5, then cos°=____
Answers
Cos = cah = adj/hyp = ?/5
Use the Pythagorean theorem
3^2 + b^2= 5^2
B^2 = 16
B = 4
Cos = 4 /5
I think it’s 40%, am I correct?
Answers
my thought process is
There are 100 ticks (20 spaces with 5 marks)
the area it wants has 6 large spaces (6*5=30) and 3 marks
30+3 is 33
HURRY DUE TONIGHT
Jenny mixed 4 kg of mixed nuts containing 16% peanuts with 12 kg of mixed nuts containing 40% peanuts. What percent of the new mixture if peanuts?
A. 34%
B. 13%
Answers
First, we need to calculate the weight of peanuts in the 4 kg mixture of nuts:
Weight of peanuts in 4 kg mixture = 4 kg x 0.16 = 0.64 kg
Next, we need to calculate the weight of peanuts in the 12 kg mixture of nuts:
Weight of peanuts in 12 kg mixture = 12 kg x 0.40 = 4.8 kg
The total weight of peanuts in the new mixture will be the sum of the weight of peanuts in the two mixtures:
Total weight of peanuts in new mixture = 0.64 kg + 4.8 kg = 5.44 kg
The total weight of the new mixture will be the sum of the weights of the two original mixtures:
Total weight of new mixture = 4 kg + 12 kg = 16 kg
Finally, we can calculate the percentage of peanuts in the new mixture by dividing the total weight of peanuts by the total weight of the new mixture and multiplying by 100:
Percentage of peanuts in new mixture = (Total weight of peanuts / Total weight of new mixture) x 100 = (5.44 kg / 16 kg) x 100 = 34%
Therefore, the new mixture contains 34% peanuts. Answer choice A is correct.
1. Solve using long division.
(9x3 - 48x2 + 13x + 3) = (x - 5)
9x2 – 3x – 2, R-7
O
9x2 - 2x - 2, R-6
9x2 - 4x - 2, R-8
9x2 - x - 2, R-5
Answers
Answer:
9x^2 - 3x - 2, R -7.
Step-by-step explanation:
x - 5) 9x^3 - 48x^2 + 13x + 3(9x^2 - 3x - 2 <---- Quotient.
9x^3 - 45x^2
- 3x^2 + 13x
-3x^2 + 15x
-2x + 3
-2x + 10
-7 <----- Remainder
Which expression represents twice the sum of a number and six
Answers
Answer:
2(x + 6)
Step-by-step explanation:
If we let the number be "x", then the sum of the number and six is x + 6. To find twice the sum, we multiply this expression by 2:
2(x + 6)
Therefore, the expression that represents twice the sum of a number and six is 2(x + 6)
I’m confused on how to do this please help me walk through on how to solve this :(
Answers
Given:
Power function and point is
Points
\(\begin{gathered} (1,4) \\ (5,41)^ \end{gathered}\)Find-:
Power of function
Explanation-:
Let the power function is:
\(f(x)=ax^n\)Check for points (1,4)
\(\begin{gathered} f(x)=ax^n \\ \\ (x,f(x))=(1,4) \\ \\ 4=a(1)^n \\ \\ a=4..................(1) \end{gathered}\)Check for points (5,41)
\(\begin{gathered} f(x)=ax^n \\ \\ f(x)=4x^n \\ \\ (x,f(x))=(5,41) \end{gathered}\)Put the value then,
\(\begin{gathered} f(x)=4x^n \\ \\ 41=4(5)^n \\ \\ \frac{41}{4}=5^n \\ \\ 10.25=5^n \end{gathered}\)Taking log both sides then
\(\begin{gathered} 10.25=5^n \\ \\ \ln(10.25)=\ln5^n \\ \\ \ln(10.25)=n\ln5 \\ \\ 2.327=n\times1.609 \\ \\ n=\frac{2.327}{1.609} \\ \\ n=1.446 \end{gathered}\)So the function is:
\(\begin{gathered} y=ax^n \\ \\ y=4x^{1.446} \end{gathered}\)Write 15/2 as a mixed number.
Give your answer in its simplest form.
Answers
Answer:
\(7 \frac{1}{2}\)
hope this helps :))