Answer:
Point slope form of the line is [tex]y-10=2(x-3)[/tex]
Step-by-step explanation:
The point-slope form of a line is given as:
[tex]y-y_1=m(x-x_1)[/tex]
Where,
[tex]m[/tex] is the slope, and [tex](x_1,y_1)[/tex] is the x point and y point respectivelyThe question tells us the slope is 2, hence [tex]m=2[/tex] and the point given is (3,10) which means [tex]x_1=3[/tex] and [tex]y_1=10[/tex]. Substituting these values into the point slope form of a line gives us:
[tex]y-(10)=2(x-(3))\\y-10=2(x-3)[/tex]
Hence, point slope form of the line is [tex]y-10=2(x-3)[/tex]
36 divided by 2/8 to the fifth power + 7 x ( 3+11 )
Answer:↓
98+36864
Step-by-step explanation:
Isabel is making bead necklaces.she wants to use thirty eight beads to make four necklaces.if she wants each necklace to have the same number of beads,how many beads will she have left over?
Answer:
Step-by-step explanation:
Make circles. 4 circles. Then divide the beads to your circles. The one's you have leftover is your remainder. Hope that helps.
If Vy=wxz wha does
Y=?
[tex]VY=wxz\qquad\text{divide both sides by }\ V\\\\\boxed{Y=\dfrac{wxz}{V}}[/tex]
Is the following relation a function?
Answer: No
Step-by-step explanation:
A function has exactly one y output for each x input, and since the input -1 has two outputs, -1 and 2, it is not a function.
Hi there,
The Answer is no
To solve This we need to Remember That a relation can only be a Function if one number from X goes to Y.
In This instance, -1 goes to 2 and -1, While 6 goes to 3 and 4 to 3
Keep In mind that All the number given are points
Hope this Has Helped
|~Adan |
9/10 of alien races think invading Earth is a bad idea. What percent of alien races think invading Earth is a bad idea?
90% Would be your answer.
Answer:
90%
Step-by-step explanation:
If 9/10 alien races believes that invading Earth is a bad idea, than 90% of the alien races believes that it is a bad idea. This answer was found by converting the fraction into a percentage. There are many ways to do this, but here are two ways. If you put 9/10 into a decimal, you get 0.9, which is 90%. Or, you could multiply 9/10 by 10/10, which will get you 90/100, or 90%. I hope that my answer helped you!
Describe a sequence of transformations that transform the graph of the parent function f into the graph of the function g.
f(x)= square root of x
g(x)= - square root of -1/2x+3
Answer:
The sequence is: Refection across y-axis, Horizontal Shrink, Horizontal Translation and Reflection across x-axis.
Step-by-step explanation:
Since, we are given f(x) = square root x.
The sequence of transformations which transform f(x) into g(x) is given by:
1. Reflection across y-axis i.e. f( x ) to f( -x )
2. Horizontal Shrinking i.e. f( -x ) to f( -x/2 )
3. Horizontal Translation i.e. f( -x/2 ) to f( -x/2 + 3 )
4. Reflection across x-axis i.e. f( -x/2 + 3 ) to -f( -x/2 + 3).
The step by step graphical representation can also be viewed below.
what is the formula of median?
Answer:
Step-by-step explanation: Arrange your numbers in numerical order.
Count how many numbers you have.
If you have an odd number, divide by 2 and round up to get the position of the median number.
If you have an even number, divide by 2. Go to the number in that position and average it with the number in the next higher position to get the median.
Final answer:
The formula for finding the median depends on whether the total number of data values is odd or even. If it is odd, the median is the middle value when the data is ordered from least to greatest. If it is even, the median is the average of the two middle values when the data is ordered.
Explanation:
The formula for finding the median depends on whether the total number of data values is odd or even. If it is odd, the median is the middle value when the data is ordered from least to greatest. If it is even, the median is the average of the two middle values when the data is ordered. For example, if you have the data set 2, 4, 6, 8, 10, the median would be 6 because it is the middle value. But if you have the data set 2, 4, 6, 8, the median would be (4+6)/2 = 5 because it is the average of the two middle values.
Evaluate the function for the given input values f(x)=3x-1 find f(2) f(2)=
Answer:
f(2) =5
Step-by-step explanation:
We have a function f(x) = 3x-1
When we find f(2) ,let x=2
f(2) = 3*2-1
= 6-1
=5
Geometry Unit 7 Lesson 7. Please Help Picture attached.
Answer:
The coordinates of orthocenter of the triangle are (1,5).
Step-by-step explanation:
The given vertices are A(0,6), B(4,6) and C(1,3).
Orthocenter of a triangle is the intersection point of all altitudes.
The product of slopes of two perpendicular lines is -1.
The slope of AB is
[tex]m_{AB}=\frac{y_2-y_1}{x_2-x_1}=\frac{6-6}{4-0}=0[/tex]
The slope of AB is 0, therefore slope of line which is perpendicular to AB is [tex]\frac{-1}{0}[/tex].
Point slope form of a line is
[tex]y-y_1=m(x-x_1)[/tex]
Where, m is the slope.
The equation of altitude on AB form C is
[tex]y-3=\frac{1}{0}(x-1)[/tex]
[tex]0=x-1[/tex]
[tex]x=1[/tex] ..... (1)
Slope of BC is
[tex]m_{BC}=\frac{y_2-y_1}{x_2-x_1}=\frac{6-3}{1-4}=1[/tex]
The slope of BC is 1 therefore the slope of altitude on BC from A is -1.
The equation of altitude on BC from A is
[tex]y-6=-1(x-0)[/tex]
[tex]y=-x+6[/tex] ..... (2)
Using (1) and (2) we get
[tex]x=1, y=5[/tex]
The intersection point of two altitudes is (1,5). Therefore coordinates of orthocenter of the triangle are (1,5).
How do you convert 68.75% to a decimal and fraction in lowest terms
Answer:
11/16
Step-by-step explanation:
68.75 / 100 is the percentage value. You can divide both top and bottom of the fraction by 2568.75 / 25 = 2.75100/25 = 42.75/4 is one fractional answer. if you want whole numbers on the numerator and denominator, multiply the top and bottom by 42.75 * 4 = 114 * 4 = 16So the actual answer is 11/16Answer:
Decimal: 0.6875 Fraction: 2.75/4
Step-by-step explanation:
To convert percent into a decimal you move the decimal point two places to the left. So 68.75% is equal to 0.6875.
To find the fraction form we know that 68.75% is 68.75/100 because percent is of one hundred. We can simply 68.75/100 by dividing the numerator and denominator by 25 and we get 2.75/4. So 68.75% as a fraction is 2.75/4.
cheese production in a country is currently growing at a rate of 4% per year. the equation y=8.3(1.04)^× models the cheese production in the country from 2003 to 2009. In this equation l, y is the amount of cheese produced in billions of pounds and x represents the number of years after 2003.
a. Estimate the total cheese production in the country in 2006
b. assuming this equation continues to be valid in the future use the equation to predict the total amount of cheese produced in the country in 2017.
Answer:
a. 9.34 billions of pounds.
b. 14.37 billions of pounds.
Step-by-step explanation:
We have been given that cheese production in a country is currently growing at a rate of 4% per year. the equation [tex]y=8.3*(1.04)^{x}[/tex] models the cheese production in the country from 2003 to 2009. In this equation l, y is the amount of cheese produced in billions of pounds and x represents the number of years after 2003.
a. To find the total cheese production in the country in 2006 we will substitute x= 3 in our given equation as 2006-2003=3.
[tex]y=8.3*(1.04)^{3}[/tex]
[tex]y=8.3*1.124864[/tex]
[tex]y=9.3363712[/tex]
Therefore, the cheese production in year 2006 will be 9.34 billions of pounds.
b. To find the total cheese production in the country in 2017 we will substitute x= 14 in our given equation as 2017-2003=14.
[tex]y=8.3*(1.04)^{14}[/tex]
[tex]y=8.3*1.7316764476028035[/tex]
[tex]y=14.37291451510326905[/tex]
Therefore, the cheese production in year 2017 will be 14.37 billions of pounds.
Answer:
Given the equation: [tex]y = 8.3(1.04)^x[/tex] ......[1]
where
y is the amount of cheese produced in billions of pounds and
x represents the number of years after 2003
Since, this equation models the cheese production in the country from 2003 to 2009.
(a)
we have to find the total cheese production in the country in 2006.
Substitute x = 3 years(i.e, 2003 -2006) in [1] to solve for y;
[tex]y = 8.3(1.04)^{3}[/tex]
Simplify:
y = $9.3363712
Therefore, the total cheese production in the country in 2006 is, $9.34.
(b)
we use the equation to predict the total amount of cheese produced in the country in 2017.
We have x = 14 years.
Substitute in [1] we get;
[tex]y = 8.3(1.04)^{14}[/tex]
Simplify:
y = $14.3729145151
Therefore, the estimate total amount of cheese produced in the country in 2017 is, $14.37
To the nearest whole degree, what angle measure has a sine of 0.9123
Answer:
66° has a sine of 0.9123.Step-by-step explanation:
We are given value of sine trigonometric ratio = 0.9123.
We need to find the angle in degrees whose measure has a sine of 0.9123.
So, we need to find the value of [tex]sin^{-1}(0.9123)[/tex].
On plugging [tex]sin^{-1}(0.9123)[/tex] in calculator, we get
65.82°.
Now, we need to round it to the nearest whole degree.
Therefore, 65.82°≈ 66°.
Therefore, 66° has a sine of 0.9123.Real estate values in a town are increasing at a rate of 9% per year.
Mr. Townsend purchased a building for $375,000 in 2010.
How much can he expect to sell the building for in 2020, assuming this trend continues?
Enter your answer in the box.
Round to the nearest whole dollar.
Answer:
$887,761.38
Step-by-step explanation:
The principal amount the home is valued is $375,000 and it increases at a rate of 9% a year which is 0.09 and the amount of time it grew is 10 years. Therefore:
[tex]A_{final}=375000(1+0.09)^{10}=375000(1.09)^{10}=887761.38[/tex]
After 10 years the house is worth $887,761.38 if this trend continues
Answer:
$887,761.38
i know this i s the answer because i had a quiz.
PLz mark brainlest
A sandwich costs $0.75 more than a container of milk. A customer buys 4 sandwiches and 4 containers of milk. The customer pays $7.00. What is the cost of a sandwich? Enter your answer in the box.
Answer:
Assume that the cost of the milk is x.
We are given that a sandwich costs 0.75$ more than the cost of milk. This means that:
cost of sandwich = cost of milk + 0.75
cost of sandwich = x + 0.75
Now, the customer bought 4 sandwiches and 4 containers of milk at the cost of 7$.
We will transform this into an equation as follows:
total cost = cost of 4 sandwiches + cost of 4 containers of milk
7 = 4(x+0.75) + 4(x)
Solve the above equation to get x as follows:
7 = 4x + 3 + 4x
7-3 = 8x
8x = 4
x = 0.5
Therefore:
cost of milk = x = $0.5
cost of sandwich = x+0.75 = 0.5+0.75 = $1.25
Answer:
$1.25
Step-by-step explanation:
NEED HELPP
Indicate the domain of the following fractions: 5x/3x(x+12)
Answer:
x≠-12; x≠0
Step-by-step explanation:
A fraction denominator cannot be 0.
3x(x+12)≠0
if you multiply a number by zero, the product is also zero
3x≠0
x≠0
x+12≠0
x≠-12
if 10×5=50 then 10×50=500 right
Answer:
yes
Step-by-step explanation:
one way to help is to just do 1x5=5 and add on the two zeros to get 500
Answer:
True
Step-by-step explanation:
10 * 5 = 50
If we ad a zero to one of the numbers, we add a zero to the answer
100 * 5 = 500
10 * 50 = 500
Write an equation in slope-intercept form for the line that passes through (-3,2) and is perpendicular to the line y=3/2+4
Answer: the equation is slope-intercept form y = -2/3x
Blockbuster is a store that used to rent videotapes to customers. They charged a $20 membership fee to open a new account. Then, they charged $3 per movie. Your parents had a goft card for $50. How many movies, m could they afford??? What’s the equation plzzz I will give you 100 points
Hello There,
The answer is:
10 movies
Hope this helps have a great day :)
In the formula 1/3 π r*2 •h, if r is doubled and h is divided by 3, what is the ratio of new value of the formula to the original value?
[tex]\bf \textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=\stackrel{doubled}{2r}\\ h=\stackrel{\textit{divided by 3}}{\frac{h}{3}} \end{cases}\implies V=\cfrac{\pi (2r)^2\left( \frac{h}{3} \right)}{3} \\\\\\ V=\cfrac{\pi (2^2r^2)\left( \frac{h}{3} \right)}{3}\implies V=\cfrac{~~\frac{4\pi r^2 h}{3}~~}{3}\implies V=\cfrac{4\pi r^2 h}{3\cdot 3}\implies \stackrel{\frac{4}{3}\textit{ of the original}}{V=\cfrac{4}{3}\cdot \cfrac{\pi r^2 h}{3}}[/tex]
Final answer:
When the radius is doubled and the height is divided by 3 in the volume formula for a cone, the new volume is 4/3 of the original volume.
Explanation:
The student has provided the formula 1/3 π r^2 • h, which represents the volume of a cone.
To find the ratio of the new volume to the original volume after the radius (r) is doubled and the height (h) is divided by 3, we must substitute these changes into the formula and simplify.
Original volume formula is V = 1/3 π r^2 • h.
If the radius is doubled (2r) and the height is divided by 3 (h/3), the new volume formula becomes
V' = 1/3 π (2r)^2 • (h/3).
After simplification, the new volume becomes V' = 1/3 π 4r^2 • h/3, which further simplifies to V' = 4/9 π r^2 • h.
Therefore, the ratio of the new volume V' to the original volume V is 4/3.
Suppose you earn $6 an hour at you part time job. What will you new hourly rate be after a 2.5% raise. Explain. Please Help me with this one!!
Answer:
$6.15 an hour
Step-by-step explanation:
To find how much money our raise is, we can multiply the percent times our salary
6 * .025 = .15
Our raise is 15 cents an hour
Take what we were making plus our raise
6+.15
$6.15
This is what we will be making per hour.
Ms Campbell bought 2 table lamps for $42 with tax included .if each lamp costs $20 before tax was added, what tax rate did she pay on the two lamps
Answer:5%
Step-by-step explanation:
Given, cost of two table lamps including tax = $42
Therefore, cost of one table lamp including tax =[tex]\frac{42}{2}[/tex]=21$
Given, cost of one table lamp before tax = $20
Hence tax amount on each lamp = $21 - $20 = $1
Hence tax rate payed[tex]=\frac{\text {tax amount}}{\text {Sale Price}}\times 100[/tex]
[tex]=\frac{1}{20}\times {100}=5\%[/tex]
A basketball player made 44 out of 100 attempted free throws. What percent of free throws was made?
Answer:
How much is 44 out of 100 written as a percentage? Convert fraction (ratio) 44 / 100 Answer: 44%
Step-by-step explanation:
44% of the total free throws are made.
What is a expression? What is a mathematical equation?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.We have a basketball player made 44 out of 100 attempted free throws.
Assume the percent of free throws be [x]%. We can write -
[x] = (44/100) x 100
[x] = 44%
Therefore, 44% of the total free throws are made.
To solve more questions on Equations, Equation Modelling and Expressions visit the link below -
brainly.com/question/14441381
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an equation and the steps to solve it are shown below: 3x-1/5(10x+5)=6
[tex]3x-\dfrac{1}{5}(10x+5)=6\qquad\text{use distributive property}\\\\3x-\left(\dfrac{1}{5}\right)(10x)-\left(\dfrac{1}{5}\right)(5)=6\\\\3x-2x-1=6\qquad\text{add 1 to both sides}\\\\\boxed{x=7}[/tex]
7.2 cw homework help
Answer:
31. Yes (Y)
WXYZ ~ DABC
S.F.=4
32. Yes (Y)
GHIJ ~ KLMN
S.F.=2/3
33. Missing length: 16
34. Missing length: 30
35. x=7
36. x=10
Step-by-step explanation:
31. The polygons are similar if:
WX/DA=XY/AB
Then:
WX/DA=24/6→WX/DA=4
XY/AB=16/4→XY/AB=4
Like WX/DA=4=XY/AB, the polygons WXYZ and DABC are similar
Scale Factor: S.F.=XY/DA=XY/AB→S.F.=4
32. The polygons are similar if:
GH/KL=HI/LM=IJ/MN=GJ/KN
Then:
GH/KL=6/9=(6/3)/(9/3)→GH/KL=2/3
HI/LM=4/6=(4/2)/(6/2)→HI/LM=2/3
IJ/MN=4/6=(4/2)/(6/2)→IJ/MN=2/3
GJ/KN=4/6=(4/2)/(6/2)→GJ/KN=2/3
Like GH/KL=HI/LM=IJ/MN=GJ/KN=4, the polygons GHIJ and KLMN are similar
Scale Factor: S.F.=GH/KL=HI/LM=IJ/MN=GJ/KN→S.F.=2/3
33. If the polygons are similar, their sides must be proportional, then:
x/24=10/15
Simplifying the fraction on the right sides of the equation, dividing the numerator ans denominator by 5:
x/24=(10/5)/(15/5)
Dividing:
x/24=2/3
Solving for x: Multiplying both sides of the equation by 24:
24(x/24)=24(2/3)
Multiplying:
x=8(2)
x=16
34. If the polygons are similar, their sides must be proportional, then:
54/63=(54/9)/(63/9)→54/63=6/7
48/56=(48/8)/(56/8)→48/56=6/7
x/35=6/7
Solving for x: Multiplying both sides of the equation by 35:
35(x/35)=35(6/7)
Multiplying:
x=5(6)
x=30
36. (8x-2)/63=42/49
Simplifying the fraction on the right sides of the equation, dividing the numerator ans denominator by 7:
(8x-2)/63=(42/7)/(49/7)
Dividing:
(8x-2)/63=6/7
Solving for x: Multiplying both sides of the equation by 63:
63(8x-2)63=63(6/7)
Multiplying:
8x-2=9(6)
8x-2=54
Adding 2 both sides of the equation:
8x-2+2=54+2
Adding:
8x=56
Dividing both sides of the equation by 8:
8x/8=56/8
Dividing:
x=7
37. (6x-6)/63=42/49=30/35
Simplifying the fractions
(6x-6)/63=(42/7)/(49/7)=(30/5)/(35/5)
Dividing:
(6x-6)/63=6/7
Solving for x: Multiplying both sides of the equation by 63:
63(6x-6)63=63(6/7)
Multiplying:
6x-6=9(6)
6x-6=54
Adding 6 both sides of the equation:
6x-6+6=54+6
Adding:
6x=60
Dividing both sides of the equation by 6:
6x/6=60/6
Dividing:
x=10
for every 40 phone calls that jess made in a month, she recived 70 phone calls. What is the ratio in simplest form of the number of phone calls made to the number of phone calls jess recieved
4:7
40/10=4
70/10=7
:)
Hope this helped
Answer:
4:7
Step-by-step explanation:
40 divided by 10 = 4
70 divided by 10 = 7
Use natural logarithms to solve the equation. Round to the nearest thousandth. 3e^2x +5=27
Answer:
x=0.996
Step-by-step explanation:
[tex]3e^{2x} +5=27[/tex]
To take natural log ln , we need to get e^2x alone
Subtract 5 on both sides
[tex]3e^{2x}=22[/tex]
Now we divide both sides by 3
[tex]e^{2x}=\frac{22}{3}[/tex]
Now we take 'ln' on both sides
[tex]ln(e^{2x})=ln(\frac{22}{3})[/tex]
As per log property we can move exponent 2x before ln
[tex](2x)ln(e)=ln(\frac{22}{3})[/tex]
The value of ln(e) = 1
[tex]2x=ln(\frac{22}{3})[/tex]
Divide both sides by 2
[tex]x=\frac{ln(\frac{22}{3})}{2}[/tex]
x= 0.996215082
Round to nearest thousandth
x=0.996
sole for y
y-5=1/3(x-12)
Answer:
y = 1/3 x +1
Step-by-step explanation:
y-5=1/3(x-12)
Distribute the 1/3
y-5 = 1/3x -1/3 *12
y-5 = 1/3 x -4
Add 5 to each side
y-5+5 = 1/3 x-4+5
y = 1/3 x +1
What is the slope of the line from point (-4,2) to (-2,2)?
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have the points (-4, 2) and (-2, 2). Substitute:
[tex]m=\dfrac{2-2}{-2-(-4)}=\dfrac{0}{-2+4}=0[/tex]
Answer: The slope is equal 0 (it's a horizontal line y = 2).Mr.Steve drove 92 miles using 4 gallons of gasoline. Find the unit rate of miles driven per gallon.
Answer:23
Step-by-step explanation:
92/4
Landen spent L hours at the beach last weekend. Mateo spent 15% fewer hours at the beach than landen did.
For this case we have the following variable:
L: number of hours Landen spent at the beachWe have then that Matthew spent 15% fewer hours at the beach than landen did.
Therefore, the number of hours Mateo spent at the beach is:
[tex]L - 0.15L = 0.85 L[/tex]
Answer:
The number of hours Mateo spent at the beach is:
[tex]L - 0.15L = 0.85 L[/tex]