2. What is the equation of a line that passes through the points (-0.92, 2.49) and (-5.62, 9.76)? Write your answer in point-slope form.
Answer:
Step-by-step explanation:
-0.92 2.49
-5.62 9.76
Rise = 9.76 - 2,49 = 7.27
Run: -5.62 - (-0.92) = -4.7
Slope (Rise/Run) = (7.27.`-0.92) = -1.55
The line has the form:
y = 1.55x + b
We need to find a value of b that forces the line through both point, Use one of the points and solve for b. I'll use (-0.92, 2.49).
y = 1.55x + b
2.49 = 1.55(-0.92) + b
b = 2.49 - 1.426 = 1.064
The equation is y = 1.55x + 1.0
Angie is going to varnish the floor. Continued on other side of the page She needs 1 litre of varnish for 5 m2 of floor. There are 2.5 litres of varnish in each tin of varnish. Angie has 3 tins of varnish. Does she have enough varnish for all the floor? You must show all your working
Answer:
No, she doesn't have enough varnish for all the floors.
Step-by-step explanation:
Area of the floor, A= 10x6-5x2=50 \(m^2\)
Since 5 m^2 required 1 liter of varnish.
So, the amount of varnish required for 1 \(m^2\) = 1/5= 0.2 liters.
The amount of varnish required for 50 \(m^2\) = 0.2X50=10 liters.
Now, as 1 tin has 2.5 liters of varnish.
So, the total amount of varnish available = 3x2.5=7.5 liters, which is less than the total requirement.
Hence, she doesn't have enough varnish for all the floors.
which of following is the algebraic form for the verbal statement shown?
13 more than the product of 4 and a number, n
n/4 +13
4n+ 13
4(n+13)
13(n+4)
Answer:
Hello! The answer to your question seems to be 4n + 13
Step-by-step explanation:
Hope this helps, don't forget to give me the shiny gold crown! Have a good day ^-^
Evaluate the integral I x f''(x) dx when f(0) = 2, f(1) = 3, f'(0) = 2, f'(1) = 4. I = 2 I = 4 I = 1 I = 1 I = 0 I = 3
Integrating by parts, we have:
I x f''(x) dx = I x f'(x) f'(x) dx - I f'(x) x f'(x) dx
The value of the integral I x f''(x) dx when f(0) = 2, f(1) = 3, f'(0) = 2, f'(1) = 4 is 3.
Using the fact that f(0)=2 and f(1)=3, the left side of the equation evaluates to f(1)f'(1)-f(0)f'(0) = 3*4 - 2*2 = 8.
For the right side, we can evaluate the first term by substituting x=0 and x=1, which yields f'(1) - f'(0) = 4 - 2 = 2. For the second term, we can evaluate the integral as follows:
I f'(x) x f'(x) dx = I x2 f'(x)2 dx = x3 f'(x)2/30 = 13 f'(1)2/3 - 03 f'(0)2/3 = 22/3 - 0/3 = 4/3.
Substituting these values into the equation yields 8 = 2 - 4/3, which simplifies to 8 = 14/3. This implies that I=3.
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What is the absolute value of -|-9|
Answer:
|-|-9|| = 9
Step-by-step explanation:
I hoped this hope this helped
the answer is 9
HOW DOES YOUR ACCOUNT GET DELETED OVER NOTHING!?!?!?! I FREAKING LOST EVERYTHING OVER SOMETHING I DIDN'T EVEN DO WHAT THE ACTUAL FAWQ!!!
Answer:
when the imposter is sus
Analyze the diagram below and complete the instructions that follow.
Answer:
this question is a very simple. you should start with the biggest triangle then follow the steps to find each side of other triangles. THE ANSWER İS ROOT FORTY ONE
Step-by-step explanation:
these are all right-angled triangles. even the smallest one with the x side.
so, we need to apply Pythagoras to get the missing sides and finally x.
c² = a² + b²
c is the Hypotenuse, the baseline of the triangle opposite of the 90 degree angle. a and b are the legs of the triangle enclosing the 90 degree angle.
so,
52² = 48² + side1²
2704 = 2304 + side1²
400 = side1²
side1 = 20
20² = 12² + side2²
400 = 144 + side2²
256 = side2²
side2 = 16
13² = 5² + (larger part of side2)²
169 = 25 + (larger part of side2)²
144 = (larger part of side2)²
larger part of side2 = 12
that means the smaller part of side 2 = 16-12 = 4.
x² = 5² + 4² = 25 + 16 = 41
x = sqrt(41)
So, D is the right answer option.
Joshua walks 1 km in 6 minutes. How far would he walk in one hour?
Answer:
Joshua walks 10km in 1 hour
6x10=60
Step-by-step explanation:
Hope this helps
May i get braineist pls
Multiply 73 x 67 using the form (a+b)(a-b)
Answer:
4891
Step-by-step explanation:
73 can be written as (70 + 3), and 67 can be written as (70 - 3) which means that 73 × 67 is the same as (70 + 3)(70 - 3)
The next step is to use FOIL and expand the brackets:
First: 70 × 70 = 4900Outside: 70 × -3 = -210Inside: 3 × 70 = 210Last: 3 × -3 = -9(70 + 3)(70 - 3) = 4900 + -210 + 210 + -9
This can be simplified to 4891.
Hope this helps!
If f(a) is an exponential function where f(-3) = 18 and f(1) = 59, then find the
value of f(0), to the nearest hundredth.
Given:
For en exponential function f(a):
\(f(-3)=18\)
\(f(1)=59\)
To find:
The value of f(0).
Solution:
The general form of an exponential function is:
\(f(x)=ab^x\) ...(i)
Where, a is the initial value and b is the growth/ decay factor.
We have, \(f(-3)=18\). Substitute \(x=-3,f(x)=18\) in (i).
\(18=ab^{-3}\) ...(ii)
We have, \(f(1)=59\). Substitute \(x=1,f(x)=59\) in (i).
\(59=ab^{1}\) ...(iii)
On dividing (iii) by (ii), we get
\(\dfrac{59}{18}=\dfrac{ab^{1}}{ab^{-3}}\)
\(3.278=b^{1-(-3)}\)
\(3.278=b^{4}\)
\((3.278)^{\frac{1}{4}}=b\)
\(1.346=b\)
Substituting the value of b in (iii).
\(59=a(1.346)^1\)
\(\dfrac{59}{1.346}=a\)
\(43.83358=a\)
\(a\approx 43.83\)
The initial value of the function is 43.83. It means, \(f(0)=43.83\).
Therefore, the value of f(0) is 43.83.
Ayúdenme porfavor espara mañana
The value of the given expression is -1.
Given is an expression 1/4 (-4/1) (3/5) (-5/6) (-2) we need to simplify it,
An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division. The terms involved in an expression in math are:
Constant: A constant is a fixed numerical value.
Variable: A variable is a symbol that doesn't have a fixed value.
Term: A term can be a single constant, a single variable, or a combination of a variable and a constant combined with multiplication or division.
Coefficient: A coefficient is a number that is multiplied by a variable in an expression.
so,
1/4 (-4/1) (3/5) (-5/6) (-2)
= 1/4 × -4 × 3/5 × -5/6 × -2
= -1 × -1/2 × -2
= -1
Hence the value of the given expression is -1.
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1'm b0r3d l0l l0l l0l l0l
Yeah your not the only one i am to
Toby the Tiger makes $25 an hour selling cereal. Write an equation to
describe the proportional relationship between the amount of hours that
Toby works and the amount of money that Tony earns. (Hint: Make Table)
*
y=5x
y=15x
y=35x
y=25x
Answer:
I think it is y=25x
Step-by-step explanation:
Since Tony the Tiger makes $25 an hour, in 2 hours, he would make $50. Both of them, when divided, equal 25, the constant of proportionality.
through:(-4, -4), parallel to y= 7/4 x-3 ?
Answer:
Step-by-step explanation:
y-(-4)= 7/4(x-(-4)
Y+4= 7/4x +4
Y = 7/4x
12 less than 7 times a number equals 16?
Answer:
7x-12 = 16
Step-by-step explanation:
Find f(g(x)) and g(f(x)).
Given: f(x)= 3x – 1; g(x) = 7x + 6
Answer:
When f(x)= 3x – 1 and g(x) = 7x + 6,
f(g(x)) = 21x + 17
and
g(f(x)) = 21x - 1
Step-by-step explanation:
Given:
f(x) = 3x - 1
g(x) = 7x + 6
To find f(g(x)), substitute the value of g(x) into f(x).
f(g(x)) = f(7x + 6)
Substitute variable.
f(7x + 6) = 3(7x + 6) - 1
Distribute the 3 inside the parenthesis.
f(7x + 6) = 21x + 18 - 1
Subtract 1 from 18.
f(7x + 6) = 21x + 17
Therefore, f(g(x)) is 21x + 17.
To find g(f(x)), substitute the value of f(x) into g(x).
g(f(x)) = g(3x - 1)
Substitute variable.
g(3x - 1) = 7(3x - 1) + 6
Distribute the 7 inside the parenthesis.
g(3x - 1) = 21x - 7 + 6
Add 6 to -7.
g(3x - 1) = 21x - 1
Therefore, g(f(x)) is 21x - 1.
pleasseee help!!!
Find M1 and m2
Answer:
The answer are
\(m < 1 = 76 \\ m < 2 = 61\)
Step-by-step explanation:
By using the laws of parallelism
Then
\(m < 2 + 119 = 180 \\ m < 2 = 61 \\ by \: the \: same \: way \: \\ m < 1 = m < q \: External \\ then \\ m < 1 = 76\)
what is the median of the scores in this stem-and-leaf plot? 75 75 76 76 77 77 78
Answer:
The median of the scores in this stem-and-leaf plot is 78
Step-by-step explanation:
The total data set represented by Stem and leaf in order from the least to the greatest are as following:
58, 59, 64, 64 , 66, 68, 72, 74, 75, 76, 78, 79, 83, 84, 86, 87, 88, 91, 93, 93, 95
The number of data is 21
The median of the data at the place number 11
So, median = 78
Find the slope of the line that passes through:
(-4, 7) and (-6, - 4)
Answer:
\( \huge{ \bold{ \boxed{ \tt{ \frac{11}{2} }}}}\)
Step-by-step explanation:
\( \text{Let \: the \: points \: be \: A\: and \: B} \)
\( \text{A \: ( - 4 \:, 7 \: )} \longrightarrow \: \text{(x1 \:, y1)}\)
\( \text{B \: ( \: - 6 \:, - 4 \: )} \longrightarrow \text{(x2 \:, y2)}\)
\( \underline{ \text{Finding \: the \: slope} }: \)
\( \boxed{ \sf{slope = \frac{y2 - y1}{x2 - x1} }}\)
\(↣ \: \sf{slope = \frac{ - 4 - 7}{ - 6 - ( - 4)} }\)
\( \underline{ \text{Remember}} : \)
\( \text{ \: ( + ) * ( + ) = ( + )}\)\( \text{( + ) \: * \: ( - ) = ( - )}\)\( \text{( - ) \: * \: ( - ) = ( + )}\)\( \text{( - ) \: * \: ( + ) = ( - )}\)\( \sf{↣ \: slope \: = \: \frac{ - 4 - 7}{ - 6 + 4}} \)
\( \underline{ \text{Remember}}: \)
The positive integers are always added but posses the positive ( + ) sign.The negative integers always added but posses the negative ( - ) sign.The negative and positive integers are always subtracted but posses the sign of the bigger integer.\( \sf{↣ \: slope = \frac{ - 11}{ - 2} }\)
\( \sf{↣ \: slope \: = \frac{ \cancel{ - } \: 11}{ \cancel{ - } \: 2} }\)
\( \sf{↣ \: slope \: = \frac{11}{2} }\)
\( \text{Hope \: I \: helped!}\)
\( \text{Best \: regards!}\)
~\( \text{TheAnimeGirl}\)
Duke works on commission basis. He gets 20% of his total sales. If he
earned $55 last week, what were his sales for the week?
Answer:
$275
Step-by-step explanation:
Find his sales by dividing 55 by 0.2:
55/0.2
= 275
So, his sales for the week were $275
A company rents out 11 food booths and 20 game booths at the county fair. The fee for a food booth is $75 plus $4 per day. The fee for a game booth is $80 plus $7 per day. The fair lasts for d days, and all the booths are rented for the entire time. Enter a simplified expression for the amount, in dollars, that the company is paid.
Answer:
SHUT THE HELL UP
Step-by-step explanation:
Answer:
80×75+7+4x
Step-by-step explanation:
it's just a expression
evaluate the integral ∫ ( 2 x 3 ) ( x 2 3 x 6 ) 5 d x by making the substitution u = x 2 3 x 6 .
Substituting u = x^(2/3x^6) in the integral ∫ (2x^3)(x^2/3x^6)^5 dx and arriving at the solution 3∫(x^3)(u^5) du.
To evaluate the integral ∫ (2x^3)(x^2/3x^6)^5 dx, we can simplify the expression by making the substitution u = x^(2/3x^6). This substitution allows us to transform the integral into a simpler form, making it easier to evaluate.
Let's make the substitution u = x^(2/3x^6). Taking the derivative of both sides with respect to x gives us du = (2/3x^6)(x^(-1/3)) dx. Simplifying this equation, we have du = (2/3)dx.
Now, we can rewrite the original integral in terms of u as follows:
∫ (2x^3)(x^(2/3x^6))^5 dx = ∫ (2x^3)(u^5) dx.
Using our substitution, we can also rewrite x^3dx as (3/2)du. Substituting these into the integral, we have:
∫ (2x^3)(x^(2/3x^6))^5 dx = ∫ (2x^3)(u^5) dx = 2∫(x^3)(u^5)dx = 2∫(x^3)(u^5)(3/2)du.
Simplifying further, we have:
∫ (2x^3)(x^(2/3x^6))^5 dx = 2(3/2) ∫ (x^3)(u^5) du = 3∫(x^3)(u^5) du.
Now, we can evaluate this integral with respect to u, which gives us a simpler expression to work with. Once we find the antiderivative of (x^3)(u^5) with respect to u, we can substitute u back in terms of x to obtain the final result.
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Complete question:
evaluate the integral ∫ (2x^3)(x^2/3x^6)^5 dx by making the substitution u = x^(2/3x^6)
Is anyone able to solve this?
The value of ? and X are 24 and 32 respectively
Similarity theorem of a triangleA triangles is 2D shape with three sides and angles.
From the given diagram, the ratio of similar sides is equal to a constant as shown;
15/20 = 9+15/20+x
Cross multiply
15/9+15 = 20/20+x
15/24 = 20/20+x
Comparing with the given ratio
? = 24
X = 20+x
Find x
15(20+x) = 480
300 + 15x = 480
15x = 180
x =12
X = 20 +x
X= 32
Hence the value of ? and X are 24 and 32 respectively
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Bryan paid $144.00 for an item at the store that was 20% off the original price. What was the original price?
Answer:
$180
Step-by-step explanation:
\(P\times{(1-0.20)}=144\)
\(P\times{0.80}=144\)
\(P=\frac{144}{0.80}\)
\(P=180\)
The residents of a city voted on whether to raise property taxes the ratio of a yes votes to no votes was 5 to 4 if there were 4923 total votes how many yes votes were there ?
Answer:
2,735 yes votes
Step-by-step explanation:
First we have too determine the ratio of yes votes to the total number of votes.
We can rationalize thus
If there are 5 yes votes and 4 no votes, the total number of votes = 5+ 4 = 9
So 5/9th of the total votes are yes votes
If the total number of votes = 4923 , number of yes votes = 5/9 x 4923
= 2,735 yes votes ANSWER
We can check to see if our reasoning is correct:
Total number of no votes = 4923 - 2735 = 2188
Yes votes to Nay votes = 2735 : 2188
As a fraction:
2735 / 2188 = 1.25
1.25 = 1 1/4 = 5/4 which is the ratio of yes to no votes and tallies with the question data
Help me with this!!!!
Well the distance from the two points is 15 so that means the midpoint in -10+7.5=-2.5. There you go! Have a nice day.
A survey of 137 investment managers in a poll revealed the following. . 44% of managers classified themselves as bullish or very bullish on the stock market. . the average expected return over the next 12 months for equities was 11.3%. . 23% selected health care as the sector most likely to lead the market in the next 12 months. . when asked to estimate how long it would take for technology and telecom stocks to resume sustainable growth, the managers' average response was 2.3 years. (a) cite two descriptive statistics. (select all that apply.) A. of those investment managers surveyed, 44% were bullish or very bullish on the stock market. B. of those investment managers surveyed, 23% selected health care as the sector most likely to lead the market in the next 12 months. C. of those investment managers surveyed, 44% were bullish or very bullish on health care stocks over the next 2.3 years. D. of those investment managers surveyed, 44% selected technology and telecom stocks to be the sector most likely to lead the market in the next 12 months. E. of those investment managers surveyed, 11.3% expect it would take 12 months for equities to resume sustainable growth. (b) make an inference about the population of all investment managers concerning the average return expected on equities over the next 12 months. (c) make an inference about the length of time it will take for technology and telecom stocks to resume sustainable growth.
(a)The two descriptive statistics that can be cited are as follows: A. Of those investment managers surveyed, 44% were bullish or very bullish on the stock market.
B. Of those investment managers surveyed, 23% selected health care as the sector most likely to lead the market in the next 12 months.
(b)Inference about the population of all investment managers concerning the average return expected on equities over the next 12 months:By looking at the descriptive statistic given, we can say that the average expected return over the next 12 months for equities was 11.3%. Therefore, the inference about the population of all investment managers concerning the average return expected on equities over the next 12 months would be that most investment managers expect a return of about 11.3% on equities over the next 12 months.
(c)Inference about the length of time it will take for technology and telecom stocks to resume sustainable growth:By looking at the descriptive statistic given, we can say that the managers' average response when asked to estimate how long it would take for technology and telecom stocks to resume sustainable growth was 2.3 years. Therefore, the inference about the length of time it will take for technology and telecom stocks to resume sustainable growth would be that investment managers believe it will take about 2.3 years for technology and telecom stocks to resume sustainable growth.
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Identify the surface with the given vector equation. r(s, t) = (s cos(t), s sin(t), s) circular paraboloid O elliptic cone O hyperbolic paraboloid O plane O circular cone X
The surface with the given vector equation, r(s, t) = (s cos(t), s sin(t), s), is a circular cone.
The vector equation r(s, t) = (s cos(t), s sin(t), s) represents a surface in three-dimensional space. Let's analyze the equation to determine the nature of the surface.
In the equation, we have three components: s, cos(t), and sin(t). The presence of s indicates that the surface expands or contracts radially from a central point. The trigonometric functions cos(t) and sin(t) determine the angle at which the surface extends in the x and y directions.
By observing the equation closely, we can see that as s increases, the radius of the surface expands uniformly in all directions, while the height remains constant. This behavior is characteristic of a circular cone. The circular base of the cone is defined by s cos(t) and s sin(t), and the vertical component is determined by s.
Therefore, the surface described by the vector equation r(s, t) = (s cos(t), s sin(t), s) is a circular cone.
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In a newspaper, it was reported that yearly robberies in Springfield were up 50%to 279 in 2012 from 2011. How many robberies were there in Springfield in 2011.
hi there! here's my answer for you...
There were 186 Springfield robberies in 2011.
hope this helped. i have included a step-by-step explanation below in case you need it. have a good one!
.
Think about what happens when you double a number.
You multiply it by 2. Since it's been doubles, we say is has had a 100% increase.
Likewise a 50% increase correlates to multiply by 1.5
Since we are trying to find the previous amount that experienced the increase, we divide by 1.5 to find the original amount because that amount*1.5 gives us 279.
Calling the original r, it is clear that 1.5r=279.
Solving for r, we find the original # of robberies to be 186.
Help please due soon