Answer: N^5/2 thats the answer thank you :)
Find the slope and y-intercept from the graph.
m=________ b=________
(m is slope)
(b is y-intercept)
Step-by-step explanation: In algebra, we use the word slope to describe how steep a line is. Slope can be found using the ratio [tex]\frac{rise}{run}[/tex] between any two points that are on that line.
To get from one point on the graph to another point, we would rise 2 units which means go up to units and run -1 unit or go across 1 unit to the left.
The variable that is used to represent slope is m. So for this line we would say that m = -2
The base b represents the y-intercept of the line. The of the base as how far we are going up or down on the y-axis. Since we go up 5 units on the y-axis, we have a base of 5 so b = 5.
Remember, slope = rise/run.
We can use the points (-1, 7) and (3, -1) to solve.
_______
Slope formula: [tex]\frac{y2-y1}{x2-x1}[/tex]
= -1-7/3-(-1)
= -8/4
= -2
_______
The y-intercept is given in the line but let's solve just to check.
y = mx + b
7 = -2(-1) + b
7 = 2 + b
7 - 2 = 2 + b - 2
5 = b
Now, we can see that y-intercept is 5.
_______
After solving for both the slope and y-intercept we can put this into slope-intercept form.
y = mx + b
y = -2x + 5
_______
m = -2
b = 5
_______
Best Regards,
Wolfyy :)
For the data in the table, find the line of best fit, rounding values to three places if necessary. A) y = 4.88 + 0.625x B) y = 4.98 + 0.725x C) y = 4.88 + 0.525x D) y = 4.98 + 0.425x
Answer: y = 4.88 + 0.525x
The equation of the line of best fit for the data shown in the picture is y=0.894x+0.535
What is a straight line?A straight line is a combination of endless points joined on both sides of the point.
We have a data in the table:
Let's suppose the equation for the line is:
y = mx + c
Where m is the slope of the line and c is the y-intercept.
The value of m is given by:
[tex]\rm m = \frac{S_{xy}}{S_{xx}} }[/tex] and
[tex]\rm S_{xy} = \sum_{i=1}^{n}x_iy_i-\frac{(\sum_{i=1}^{n}x_i)(\sum_{i=1}^{n}y_i)}{n}[/tex]
[tex]\rm S_{xx} = \sum_{i=1}^{n}x_i^2-\frac{(\sum_{i=1}^{n}x_i)^2}{n}[/tex]
From the table(data is not mentioned we have assumed the data) the values of [tex]\rm \sum_{i=1}^{n}x_iy_i= 415[/tex], [tex]\rm {\sum_{i=1}^{n}x_i= 44[/tex], [tex]\rm {\sum_{i=1}^{n}y_i= 42[/tex],
[tex]\rm {\sum_{i=1}^{n}x_i^2= 438[/tex], and n = 5.
[tex]\rm S_{xy}= 415-\frac{44\times42}{5} \Rightarrow 45.4\\\\\rm S_{xx}= 438- \frac{44^2}{5} \Rightarrow 50.8[/tex]
[tex]\rm m = \frac{45.4}{50.8} } \Rightarrow 0.8937 \approx0.894[/tex]
For c we have to calculate the means of x and y for this:
[tex]\rm \bar{x} = \frac{\sum x}{n} \Rightarrow \frac{44}{5} \Rightarrow8.8[/tex]
[tex]\rm \bar{y} = \frac{\sum y}{n} \Rightarrow \frac{42}{5} \Rightarrow8.4[/tex]
Now, put the above values in the equation of a line to find the value of c
8.4 = (0.894)(8.8)+c
c = 0.5328 ≈ 0.535
Now the line is y = 0.894x+0.535
Thus, the line of best fit for the data shown in the picture is y=0.894x+0.535
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I am a multiple of 5, but not a
multiple of 10. My units and hundreds
digits are the same. The sum of my
three digits is 11.
Answer:
515
Step-by-step explanation:
If it's a multiple of five and not ten, that would be the units digit must be 5. Hundreds=units. 11-10=1. So the answer is 515
The number is a multiple of 5 but not 10, with the units and hundreds digits being the same and their sum being 11. Therefore, the number is 505.
Explanation:This question can be solved by analyzing the given clues. The number is a multiple of 5 but not 10, so it cannot end in 0. The units and hundreds digits are the same, meaning they both have to be a single digit number. Additionally, the sum of the three digits is 11.
Since the units and hundreds digits are the same, and their sum is 11, they both must be equal to 5. Thus, the number is 505.
50% of what number is 284?
I believe 50% of 284 =142
Answer:
284/50*100 = 586 or simply double 284
Step-by-step explanation:
Describe a relationship modeled by the function f(x) = 4x3 − 72x2 + 320x
Answer:
A relationship modeled by the function f(x) = 4x³ - 72x² + 320x is the volume of a right prism whose dimensions are 4 times a desired length, 10 units less that such desired length, and 8 units less than the same desired length.Explanation:
To find a relationship modeled by the given function it is recommendable to factor it.
The function is:
[tex]f(x)=4x^3-72x^2+320x[/tex]The first step to factor it is to extract common factor 4x:
[tex]f(x)=4x(x^2-18x+80)[/tex]The second step is to factor the quadratic trinomial.
That is made by writting it as a product of two binomials, for which the two constant terms add up - 18 and their product is 80. Those terms are -10 and - 8; so the two factors are (x - 10) and (x - 8), and the factored form is:
[tex]f(x)=(4x)(x-10)(x-8)[/tex]Then, a relationship modeled by that polynomial is the volume of right prism whose dimensions are 4 times a desired length, 10 units less that such desired length, and 8 units less than the same desired length.
x is the desired (unknown) length 4x is 4 times the desired lengthx - 10 is 10 less than the desired lengthx - 8 is 8 less than the desired lengthThus, the volume of the prism is the product of the three factors:
Volume = (4x)(x-10)(x-8)What is the exact distance from (–1, 4) to (6, –2)? (4 points) units units units units
Answer:
[tex]\sqrt{85}[/tex]
Step-by-step explanation:
Calculate the distance d using the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (- 1, 4) and (x₂, y₂ ) = (6, - 2)
d = [tex]\sqrt{(6+1)^2+(-2-4)^2}[/tex]
= [tex]\sqrt{7^2+(-6)^2}[/tex]
= [tex]\sqrt{49+36}[/tex]
= [tex]\sqrt{85}[/tex] ← exact distance
Answer:
he other guy is wrong there is no 85
Step-by-step explanation:
Kathy buys a bicycle after a 30% markdown. The original price was $490.00. What did
she pay?
Answer:
$343
Step-by-step explanation:
To get 30% of 490 we divide 30% by 1
30% ÷ 1 = 147
Now, we subtract 490 by 147
490 - 147 = 343
Jesse has made 120 cookies for the sale
and has one more day to bake. Jesse's
pan allows her to bake 20 cookies per
batch.
Jesse can use the equation of the
function to predict the total number of
cookies:
y=120 + 20(x). However, she prefers to
use a table.
Use the equation tool to complete the table. y=120+20(x)
Answer:
280
Step-by-step explanation:
Answer:280
Step-by-step explanation:
From 240 to 260 you add 20 each time so 260 plus 20 will give us the answer (280)
Explain how you can write an equation for a line with slope 1/2 that crosses the y-axis at the point (0,-1).
Answer:
y= 1/2x-1
Step-by-step explanation:
The equation of a line is y= mx+c
m represents the slope of the line
c represents the y-intercept
So we plug in our information into the equation.
The slope is 1/2 so y= 1/2x + c
The line crosses at (0,-1) which makes -1 the y-intercept as the line crosses at this point on the y-axis.
Therefore, y= 1/2x-1
To write an equation for a line with a slope of 1/2 that crosses the y-axis at the point (0,-1), we can use the slope-intercept form of a linear equation, y = mx + b. Substitute the given values into the equation to get y = (1/2)x - 1.
Explanation:To write an equation for a line with a slope of 1/2 that crosses the y-axis at the point (0,-1), we can use the slope-intercept form of a linear equation, which is y = mx + b.
Here, 'm' represents the slope and 'b' represents the y-intercept.
Since the slope is 1/2 and the y-intercept is at (0,-1), we can substitute these values into the equation to get y = (1/2)x + (-1) or y = (1/2)x - 1.
This equation represents a line with a slope of 1/2 and crosses the y-axis at the point (0,-1).
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Determine the following values!!!!!
Answer:
x = 26 m∠DAB = 80° m∠ADC = 100°
Step-by-step explanation:
Given,
ABCD is a parallelogram in which AB ║ DC and AD║ BC.
m∠DAB = 4x-24
m∠ADC = 2x+48
Solution,
Since ABCD is a parallelogram so sum of two consecutive angle is 180°.
[tex]m\angle DAB+m\angle ADC=180\°\\4x-24+2x+48=180\°\\6x+24=180\°\\6x=180-24\\6x=156\\x=\frac{156}{6}=26[/tex]
Now substituting the value of x we get the value of ∠DAB and ∠ADC .
[tex]m\angle DAB=4x-24=4\times26-24=104-24=80\°[/tex]
[tex]m\angle ADC=2x+48=2\times26+48=52+48=100\°[/tex]
Thus the value of x is 26 and m∠DAB is 80° and m∠ADC is 100°
6/11 × 4/5 what is the answer of this equation
Answer: 24/55
Step-by-step explanation:
multiply both numerators and denominators
6/11 × 4/5 = 24/55
what is the scientific notation for .00003400?
Answer:
[tex]\large\boxed{0.00003400=3.4\cdot10^{-4}}[/tex]
Step-by-step explanation:
The scientific notation:
[tex]a\cdot 10^k[/tex]
where
[tex]1\leq a<10,\ k\in\mathbb{Z}[/tex]
[tex]0.0003400=0\underbrace{.0003}_{4\to}4=3.4\cdot10^{-4}\\\\0.00034=3.4:10000=3.4:10^4=3.4\cdot\dfrac{1}{10^4}=3.4\cdot10^{-4}\\\\\text{used}\ a^{-n}=\dfrac{1}{a^n}[/tex]
Jerri was using a recipe for a large cake that required one-third of a tablespoon of cinnamon. Instead of making one large cake, Jerri decided to use the recipe to make four small cakes. How much should she use for each of the four small cakes?
A) 1/12 of a tablespoon
B) 1/3 of a tablespoon
C) 4/3 of a tablespoon
D) 1/4 of a tablespoon
If Jerri decides to make four small cakes out of a large cake recipe, she should divide the quantity of the required ingredient (in this case, cinnamon) by 4. Hence, for each small cake, she should use 1/12 of a tablespoon of cinnamon.
Explanation:The recipe Jerri is working with requires one-third of a tablespoon of cinnamon for a large cake. If she decides to use the same recipe to make four small cakes, she should divide the quantity of the cinnamon by 4, as the four smaller cakes together will make up the same quantity/volume as the one large cake.
The calculation can be done as follows: (1/3) tablespoon of cinnamon divided by 4 equals 1/12 tablespoon. Therefore, for each smaller cake, Jerri should use 1/12 of a tablespoon of cinnamon.
The correct answer is (A) 1/12 of a tablespoon.
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what is the value of x is in the solution set of 8x-6>12+2x?
Answer:
see explanation
Step-by-step explanation:
Given
8x - 6 > 12 + 2x ( subtract 2x from both sides )
6x - 6 > 12 ( add 6 to both sides )
6x > 18 ( divide both sides by 6 )
x > 3
Any value of x greater than 3 will be in the solution set
if the variables x and y have a strong positive correlation, what generally happens to y as x increases? what if x and y have a strong negative correlation?
If there is a strong positive correlation between "x" and "y" then when "x" increases, "y" tends to increase
If variables x and y have strong negative correlation then as "x" increases in value, "y" will decrease; similarly, if "x" decreases in value, "y" will increase
Solution:1) If the variables x and y have a strong positive correlation, what generally happens to y as x increases?
Let us first understand about strong positive correlation
Given that "x" and "y" has strong positive correlation
Correlation coefficients are used to measure the strength of the relationship between two variables.
Positive correlation:
Positive correlation is a relationship between two variables in which both variables move in tandem—that is, in the same direction. A positive correlation exists when one variable decreases as the other variable decreases, or one variable increases while the other increases.
When one variable moves higher or lower, the other variable moves in the same direction with the same magnitude.
Therefore if there is a strong positive correlation between "x" and "y" then when "x" increases, "y" tends to increase
2) What if x and y have a strong negative correlation?
Negative correlation is a relationship between two variables in which one variable increases as the other decreases, and vice versa.
Negative correlation is a relationship between two variables whereby they move in opposite directions.
If variables x and y have strong negative correlation then as "x" increases in value, "y" will decrease; similarly, if "x" decreases in value, "y" will increase
On a coordinate plane, triangles A B C and D E F are shown. Triangle A B C has points (4, 2), (7, 2), (4, 6). Triangle D E F has points (negative 2, negative 1), (4, negative 3), and (4, negative 1).
How do the areas of triangle ABC and DEF compare?
The area of △ABC is 1 square unit less than the area of △DEF.
The area of △ABC is equal to the area of △DEF.
The area of △ABC is 1 square unit greater than the area of △DEF.
The area of △ABC is 2 square units greater than the area of △DEF.
Answer:
A
Step-by-step explanation:
I just did it
Based on the above description, the areas of triangle ABC and DEF is compared to The area of △ABC is equal to the area of △DEF.
What is the triangle about?Looking at the image show:
The area of △ABC
= 4 x 3 x 1/2
=6
The area of △DEF
= 6 x 2 x 1/2
= 6
Therefore, from the above, the areas of triangle ABC and DEF is compared to The area of △ABC is equal to the area of △DEF.
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The vertices of A ABC are (-2,-4),(-4-2) and (- 6. - 4) respectively. Translate ∆ ABC
ABC by the vector (2,3) and reflect the image on the line x=0. Find the co-ordinates of
the vertices of the image under the combined transformation and draw all the triangles
in the graph.
A(-2,-4), B(-4,-2), C(-6,-4)
Translating by (2,3) adds 2 to the x and 3 to the y so gives
A'(0,-1), B'(-2,1), C'(-4, -1)
Reflecting in x=0 (the y axis) keeps the ys the same but negates the xs
A''(0,-1), B''(2,1), C''(4,-1)
I'll leave the drawing to you.
Given f(x) = x^2 – 3 and g(x) = x+2/x . Find (g ° f)(4).
A. 11/13
B. 6
C. 15/13
D. -6
Answer:
C
Step-by-step explanation:
Given the two functions, we need to find
(g ° f)(4)
This means, we need to put the function f(x) INTO the function g(x) and then evaluate that new function at x = 4.
We put the whole expression of f(x) into "x" of g(x). Shown below:
[tex]f(x)=x^2-3\\g(x)=\frac{x+2}{x}\\(gof)(x)=\frac{x^2-3+2}{x^2-3}\\(gof)(x)=\frac{x^2-1}{x^2-3}[/tex]
Now we plug in 4 into x and evaluate:
[tex](gof)(x)=\frac{x^2-1}{x^2-3}\\(gof)(4)=\frac{4^2-1}{4^2-3}\\(gof)(4)=\frac{15}{13}[/tex]
Thus,
correct answer is C
Greta reads 1 1/2 pages per minute when she reads her homework assignment. At this rate, how long does it take Greta to read 60 pages?
Answer:
40 minutes
Step-by-step explanation:
60 pages / (1 1/2 pages/ minute)
= 60 / 3/2 minutes
= 40 minutes
Answer:
330 minutes
Step-by-step explanation:
11/2 times 60/1
so basically just do 60 times 11 equals
660 then divided by 2 equals 330
so she will read 60 pages in 330 minutes, I hope I did it right
I think I'm wrong
Pedro and Ivan races each other in a 24-mile bike race. After 20min, Pedro had traveled 5 miles. Ivan had spent the 20 minutes traveling at a rate of 16mph. Which person was in 1st place after 20min?
Answer:
ivan will
Step-by-step explanation:
16mph
16/3=5.333
60/3=20minutes
so instead of 5 miles in 20 minutes like pedro ivan did 5.333 repeating
Find all the natural numbers, which when divided by 7, leave the same number for the quotient and the remainder.
Answer:
8,16,24,32,48
Step-by-step explanation:
When dividing a number by 7, only 7 different remainders are possible.
The remainders when dividing by 7 can not exceed 6, so the numbers in which we are interested can be represented as 7k+k or just 8k, where k=1, 2, ... , 6.
Answer:
8, 16, 24, 32, 40, 48
Step-by-step explanation:
4000+99x40 pls help now
Answer:
7960
Step-by-step explanation:
4000+99*40
4000+3960
7960
8. Teo makes a necklace of x wooden beads at $0.50
each and 6 glass beads at $1.25 each. The average
cost of the beads in the necklace is $0.75. Write
an equation to model the situation.
Answer:
0.5x + 7.5 / (x + 6)
Step-by-step explanation:
Let x be the number of wooden beads
wooden bead = $0.50 each
glass bead = $1.25 each
since average cost of bead = (cost of wooden bead + cost of glass bead)/ total number of beads
equation is (0.5x + (6*1.25))/(x + 6)
The model equation is therefore 0.5x + 7.5 / (x + 6)
x=3y – 10
x 2y - 5 Solve by subst8tution
Answer:
x=5, y=5. (5, 5).
Step-by-step explanation:
x=3y-10
x=2y-5
--------------
3y-10=2y-5
3y-2y-10=-5
y-10=-5
y=-5+10
y=5
x=2(5)-5=10-5=5
-3x+3y=9 2x−7y=−14
The system of equations -3x + 3y = 9 and 2x - 7y = -14 belongs to the branch of math called Algebra. You can solve the system using methods like substitution or elimination. The solution for the system is x = -2, y = 1.6.
Explanation:The given equations are part of the math branch known as Algebra, specifically a system of linear equations. The system consists of the following equations:
-3x + 3y = 9 and 2x - 7y = -14
To solve for x and y, you use the method of substitution or elimination. Let's use the method of elimination:
Multiply the first equation by 2 and the second equation by 3:
-6x + 6y = 18 and 6x - 21y = -42
Then, sum both equations (this will cancel the x variable, leading to a single equation with y):
-15y = -24
Finally, divide by -15 to solve for y, which gives y = 24/15 or 1.6. Substituting y into the first equation gives x = -2.
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9(2x + 1) – 4(x – 6) = 6(2x + 1) + 5(x – 6)
What does x equal and why??
Answer:
x = 19Step-by-step explanation:
[tex]9(2x+1)-4(x-6)=6(2x+1)+5(x-6)\\\\\text{use the distributive property:}\ a(b+c)=ab+ac\\\\(9)(2x)+(9)(1)+(-4)(x)+(-4)(-6)=(6)(2x)+(6)(1)+(5)(x)+(5)(-6)\\\\18x+9-4x+24=12x+6+5x-30\\\\\text{combine like terms}\\\\(18x-4x)+(9+24)=(12x+5x)+(6-30)\\\\14x+33=17x-24\qquad\text{subtract 33 from both sides}\\\\14x+33-33=17x-24-33\\\\14x=17x-57\qquad\text{subtract}\ 17x\ \text{from both sides}\\\\14x-17x=17x-17x-57\\\\-3x=-57\qquad\text{divide both sides by (-3)}\\\\\dfrac{-3x}{-3}=\dfrac{-57}{-3}\\\\x=19[/tex]
15 POINTSSSS‼️‼️
A company that makes thing-a-ma-bobs has a start up cost of $ 8809. It costs the company $
2.05 to make each thing-a-ma-bob. The company charges $ 4.92 for each thing-a-ma-bob. Let x
denote the number of thing-a-ma-bobs produced.
Write the cost function for this company. C(x) =
Write the revenue function for this company. R(x) =
What is the minumum number of thing-a-ma-bobs that the company must produce and sell to make a
profit?
Answer:
If the company produce and sell 'x' no. of thing-a-ma-bob , then
C(x) = $ (8809 + 2.05x)
R(x) = $ 4.92x
To make a profit the company must produce and sell at least 3070 thing-a-ma-bobs.
Step-by-step explanation:
If the company produces and sells "x" no. of thing-a-ma-bob, then,
the cost function is given by,
C(x) = $ (8809 + 2.05x) ------------------------(1)
The revenue function is given by,
R(x) = $ 4.92x -------------------------------------(2)
If C(x) = R(x), then,
4.92x = 8809 + 2.05x
⇒ 2.87x = 8809
⇒ x = [tex]\frac {8809}{2.87}[/tex]
⇒ x [tex]\simeq [/tex] 3069.34
So, to make a profit the company must produce and sell at least 3070 thing-a-ma-bobs.
Emily needs 4 eggs for baking her cake.all of the eggs have the same mass
Emily knows the mass of 1(shown below)
What is the total mass of 4 eggs.
Grams:
Answer:
120 Grams.
Step-by-step explanation:
In the illustration, the dial is on 30 grams as the increments increase by 5 grams per tick mark. Taking this info, we can say that since the eggs have the same mass then 30 × 4 is equal to 120 grams.
what is the common multiples of 5,3,8
Answer:
120.
Step-by-step explanation:
If you're asking for LCM the answer is 120.
Answer:
120Step-by-step explanation:
3, 5 and 8 are Relatively prime numbers (LCD(3, 5, 8) = 1).
Therefore LCM(3, 5, 8) = 3 · 5 · 8 = 120
What is m∠LNM?
m∠LNM = °72
Answer:
72 degrees
Step-by-step explanation:
Congruent supplements Theorem.
The symbol m∠LNM denotes the measure of the angle formed by points L, N, M. The 'm' stands for measure, '∠' denotes an angle, and LNM are the points forming the angle. In this context, m∠LNM is 72 degrees.
Explanation:The term m∠LNM refers to the measure of angle LNM. In mathematical notation, the symbol '∠' is often used to denote an angle, and LNM refers to the points forming the angle. For instance, if you have a triangle or any other polygon, and points L, N, and M are three vertices (corners) of the shape, then ∠LNM would be the angle at vertex N, formed by the intersection of line segments LN and NM. Given that m∠LNM is said to be 72°, this indicates that the measure of angle LNM is 72 degrees.
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