Answer:
v = -2.5
Step-by-step explanation:
9(9-2v) = -12(v-8)
81−18v= −12v+96
So move -18v to the other side and change the sign. Same to 96.
81-96 = -12v + 18v
-15 = 6v
v = -2.5
Which is an example of an operation
Match each pairs of rational
Answer:
Refer to step-by-step.
Step-by-step explanation:
To find the LCD of the different fractions, we first need to follow the steps of finding the LCD of algebraic fractions.
1st step: Factor
You need to factor out the expressions if they do not have a difference of two squares.
2nd step: Find the LCD of the coefficients.
You need to find the LCD of the coefficients before moving onto the variables.
3rd step: The variable part of the LCD will be every single variable you see, with the highest exponent.
So let's begin, since all the given denominators are already factored out, we can proceed straight to step 2.
[tex]\dfrac{5}{9m^{2}n}and\dfrac{5}{16mn^{3}}[/tex]
Now since we're dealing with the denominators, let's focus on them alone.
The LCD of 9 and 16 is 144
The LCD of variables m² and m is m²
The LCD of variables n and n³ is n²
So the LCD of the algebraic fractions [tex]\dfrac{5}{9m^{2}n}and\dfrac{5}{16mn^{3}}[/tex] is:
144m²n³
Now to the next one.
[tex]\dfrac{5+m}{8m^{4} n^{2} }and\dfrac{5+n}{18m^{2} n^{4} }[/tex]
The LCD of 8 and 18 is 72
The LCD of variables [tex]m^{4}[/tex] and m² is [tex]m^{4}[/tex]
The LCD of variable n² and [tex]n^{4}[/tex] is [tex]n^{4}[/tex]
So the LCD of the algebraic fractions [tex]\dfrac{5+m}{8m^{4} n^{2} }and\dfrac{5+n}{18m^{2} n^{4} }[/tex]is:
[tex]72m^{4} n^{4}[/tex]
Next one we have:
[tex]\dfrac{m+n}{12mn}and\dfrac{n+m}{18m^{3}n }[/tex]
The LCD of 12 and 18 is 36
The LCD of m and m³ is m³
The LCD of n and n is n
So the LCD of the algebraic fractions [tex]\dfrac{m+n}{12mn}and\dfrac{n+m}{18m^{3}n }[/tex] is:
36m³n
Last but not the least.
[tex]\dfrac{m-n}{24mn^{4}}and\dfrac{m-n}{16m^{4}n }[/tex]
The LCD of 24 and 16 is 48
The LCD of m and [tex]m^{4}[/tex] is [tex]m^{4}[/tex]
The LCD of [tex]n^{4}[/tex] and n is [tex]n^{4}[/tex]
So the LCD of the algebraic fractions [tex]\dfrac{m-n}{24mn^{4}}and\dfrac{m-n}{16m^{4}n }[/tex] is:
[tex]48m^{4} n^{4}[/tex]
Find the value of x, rounded to the nearest tenth.
Answer options: 4.2, 3.7, 4.4, 8.9
Answer:
= 8.9 units
Step-by-step explanation:
When a chord intersects with a tangent outside a circle then we use the relationship;
X ² = AO × BO, Where A and are the points of intersection of the chord an the circle, while O is the point of intersection between the chord and the tangent.
Therefore;
x² = 4 × 20 or 8 × 10
x² = 80
x = √80
= 8.944
≈ 8.9
Answer: 8.9
Step-by-step explanation:
x² = 4 × 20 or 8 × 10
x² = 80
x = √80
= 8.944
≈ 8.9
5×4=?
is it 20
is it 9
is it 54
Answer:
20
Step-by-step explanation:
But you should know this already...
help me with this question pls!?
Your answer is A) 1/2 inch per foot
Multiply the given info by 2 to get the answer.
Please mark brainliest if this helps you! :)
Jeremy boiled one cup of water and then let it cool at room temperature. The table shows the temperature, in degrees Fahrenheit, of the water after a given number of five-minute intervals. Jeremy used an exponential function to model the temperature w(t), in degrees Fahrenheit, of the water after t intervals.
The question involves predicting the temperature of water after six intervals using an exponential decay function. Without the exact values to form the function, we can infer that the temperature will likely be around option (b) 101°F after six intervals based on the pattern of decrease shown in the provided intervals.
The student's question is about using an exponential function to model the temperature decrease of water as it cools at room temperature.
To solve this problem, one would generally apply the formula for an exponential decay function, which is of the form w(t) = [tex]a * e^{(kt)[/tex], where w(t) is the temperature at time t, a is the initial temperature, e is the base of the natural logarithm, and k is the decay constant. Given the temperatures at specific intervals, one could use these to estimate the constants a and k.
However, without the necessary values to develop an equation, we instead look for the pattern in the temperature's decrease to predict the sixth interval's approximate temperature.
Examining the table provided:
Interval 0: 210°FInterval 1: 167°FInterval 2: 145°FInterval 3: 131°FInterval 4: 121°FWe can see that the temperature is decreasing less with each interval. While it is not explicitly stated, it's reasonable to assume that an exponential decay function would fit this scenario. Without the exact function, we can make an educated guess based on the trend that after six intervals, the temperature will be less than 121°F and likely close to option (b) 101°F.
Length of a rectangle is 5 cm longer than the width. Four squares are constructed outside the rectangle such that each of the squares share one side with the rectangle. The total area of the constructed figure is 120 cm2. What is the perimeter of the rectangle?
Answer:
The perimeter of rectangle is [tex]18\ cm[/tex]
Step-by-step explanation:
Let
x-----> the length of the rectangle
y----> the width of the rectangle
we know that
[tex]x=y+5[/tex] ----> equation A
[tex]120=xy+2x^{2}+2y^{2}[/tex] ---> equation B (area of the constructed figure)
substitute the equation A in equation B
[tex]120=(y+5)y+2(y+5)^{2}+2y^{2}\\ 120=(y+5)y+2(y+5)^{2}+2y^{2}\\ 120=y^{2}+5y+2(y^{2}+10y+25)+2y^{2}\\ 120=y^{2}+5y+2y^{2}+20y+50+2y^{2}\\120=5y^{2}+25y+50\\5y^{2}+25y-70=0[/tex]
using a graphing calculator -----> solve the quadratic equation
The solution is
[tex]y=2\ cm[/tex]
Find the value of x
[tex]x=y+5 ----> x=2+5=7\ cm[/tex]
Find the perimeter of rectangle
[tex]P=2(x+y)=2(7+2)=18\ cm[/tex]
Answer:
Perimeter of rectangle = 38 cm
Step-by-step explanation:
It is given that, Length of a rectangle is 5 cm longer than the width.
Let 'x' be the width then length = x + 5
Area of of rectangle = x(x + 5)
One side of square = ( x+ 5)/4
Area of all squares = [(x +5)/4]² * 4 = (x + 5)²/4
To find the value of x
Total area = 120 cm²
Area of of rectangle + Area of all squares = 120
x(x + 5) + (x + 5)²/4 = 120
x² + 5x + (x² + 10x + 25)/4 = 120
4x² + 20x + x² + 10x + 25 = 120 * 4
x² + 6x + 5 = 24 * 4
x² + 6x - 96 =0
x = 7
To find the perimeter of rectangle
width = x = 7
Length = x + 5 = 7 + 5 = 12
Perimeter = 2(length + width) = 2(7 + 12) = 38 cm
A pack of cinnamon-scented pencils sells for $4.00. What is the sales tax rate if the total cost of the pencils is $4.20?
Answer: The sales tax rate is 5%.
Step-by-step explanation: In order to calculate the sales tax rate you need to divide the amount of sales tax by the amount of the purchase. In this case you divide .20 by $4.00. .2 / 4 = .05 = 5% sales tax rate
The sales tax rate for a pack of cinnamon-scented pencils that sells for $4.00 and totals $4.20 is 5%.
To calculate the sales tax rate for a pack of cinnamon-scented pencils that sells for $4.00 and has a total cost of $4.20 including tax, you first need to find the amount of sales tax paid. The sales tax paid is the difference between the total cost and the sale price, which is
$4.20 - $4.00 = $0.20.
Next, you convert the sales tax amount to the sales tax rate by dividing the tax amount by the original price and then multiplying by 100 to get a percentage. Therefore, the sales tax rate is
($0.20 / $4.00) x 100, which equals 5%. The packed pencils had a 5% sales tax added to the original price.
Which statement is true about the distribution?
Answer:
The answer is C
Step-by-step explanation:
Answer:The answer is actually A
Step-by-step explanation:
Which angles are adjacent angels?
A. GMB and FBC
B. CBX and FBC
C. XBG and FBC
D. MBY and FBC
Answer:
CBX and FBC
Step-by-step explanation:
because they both are supplememntary
Adjacent angles share a common vertex and side, and do not overlap. Without a diagram, specific adjacent angles cannot be identified. Angle BAB' being equal to the angle of incidence is relevant to the geometry but does not determine adjacency.
Explanation:Adjacent angles are two angles that have a common vertex and a common side, but do not overlap. By definition, they are next to each other on a plane and their shared side is called the ray. In the given question, we should look for two angles that meet this criteria.
The answer is not directly provided since it seems to be referencing a diagram that we do not have. However, in general, to determine adjacent angles in a diagram, you would look for angles that share a vertex and a common side. For example, if angle GMB and angle FBC shared a side and a vertex, they would be considered adjacent angles.
Given the information that the segment AB' is shared by triangles in two different mediums, and that angle BAB' is equal to the angle of incidence, this does not directly relate to the angles being adjacent but gives insight into the geometry of the situation.
What are the zeros of f(x)=2x^3+3x^2-9x?
Answer:
x = -3, x= 0, and x = 1.5
Step-by-step explanation:
The zeros of a function f(x) refers to the x-values for which f(x) = 0.
We simply graph the function and determine the points where the graph crosses the x-axis. Thus, we shall be solving the problem graphically;
From the attachment below, the graph of f(x) crosses the x-axis at;
x = -3, x= 0, and x = 1.5
How would the expression x^2-9 be written using difference of swuares
x squared and -9 are both square numbers.
the square root of x^2 is x
the square root of -9 is 3. so you just need to write (x+3)(x-3)
you can check by expanding the brackets and the middle x terms should cancel out
Answer:
(x-3)(x+3)
Step-by-step explanation:
Here we have to represent our algebraic expression as difference of square.
In order to do so we have use the formula given under.
[tex](x^2-a^2)=(x-a)(x+a)[/tex]
Hence first we have to guess the square root of the 9 , which is 3 and represent our numeric term in our expression as square of it.
Hence
[tex](x^2-9)\\= (x^2-3^2)[/tex]
Now we apply the formula
[tex](x^2-3^2)=(x-3)(x+3)[/tex]
Hence the above expression is our answer.
please help NOW!!!! 20 Points!
how is this number expressed in decimal notation? 2 x 10-5
1.5 × 10 to the 1 st power
Answer:
0.00002
2*10^-5 = 2*00001 = 0.00002
The perimeter of a parallelogram is 80 meters.the width of the parallelogram is 4 meters less than its length
Answer:
The length is 22 and the width is 18.
Step-by-step explanation:
You can solve for the length by using the perimeter formula.
P = 2l + 2w.
You know P = 80. You also know the length is l and the width is w = l - 4.
80 = 2l + 2(l - 4)
80 = 2l + 2l - 8
80 = 4l - 8
88 = 4l
22 = l
This means the width which is 4 meters less is 22 - 4 = 18.
If 12 pens cost 3.48 how much do 20 cost
Step-by-step explanation:
12/3.48= cost of 1 book
cost of 20 books = 12/3.48×20 =68.95
To find the cost of 20 pens when 12 pens cost $3.48, divide $3.48 by 12 to get the cost per pen and then multiply by 20. The cost for 20 pens would be $5.80.
To calculate the cost of 20 pens when 12 pens cost $3.48, first, we need to find the cost of one pen. We do this by dividing the total cost of 12 pens by the number of pens:
$3.48 / 12 pens = $0.29 per pen.
Now that we know the cost of one pen, we can calculate the cost of 20 pens by multiplying the cost per pen by 20:
$0.29 / pen x 20 pens = $5.80.
So, 20 pens would cost $5.80.
Plz help! Giving away more points than usual!!! Thxs :) (btw the rate of change isn't 8 nor 29, I tried them both like 500 times)
Answer:
rate change: -8
Equation: y = 232 -8x
After 5 hours: 192
Step-by-step explanation:
8 are destroyed every hour, so there are 8 less every hour, so the rate of change is -8
It starts with 232 and loses 8 per hour, so the formula is
y = 232 - 8x
After 5 hours:
y = 232 - 8(5)
y = 232 - 40
y = 192
Answer:
Step-by-step explanation:
The rate of change in this case is -8, since the amount is decreasing.
The equation is:
y=232-8x.
After 5 hours, he will have 192 rews.
Find Chris’s mistake.
A. Step 1
B. Step 2
C. Step 3
D. Chris did not make a mistake
step 2: Chris added the exponents when he should have multiplied them
Answer:
Step 2
Step-by-step explanation:
Given: circle k (O) , m
PL
=80°,
m
PY
=150°
Find: m∠YPL
Answer:
YL=130 (PWP)
m<YPL=65 (Inscribed < th)
Step-by-step explanation:
Answer:
[tex]m\angle YPL=65^{\circ}[/tex]
Step-by-step explanation:
We have been given an image of a circle and we are asked to find the measure of angle YPL.
Since the degree measure of circumference of a circle is 360 degrees, so we can set an equation to find the measure of arc LY as:
[tex]m\widehat{LY}+m\widehat{PL}+m\widehat{PY}=360^{\circ}[/tex]
Upon substituting our given values in above equation we will get,
[tex]m\widehat{LY}+80^{\circ}+150^{\circ}=360^{\circ}[/tex]
[tex]m\widehat{LY}+230^{\circ}-230^{\circ}=360^{\circ}-230^{\circ}[/tex]
[tex]m\widehat{LY}=130^{\circ}[/tex]
We can see that angle YPL is inscribed angle of arc LY, so the measure of angle YPL will be half the measure of arc LY.
[tex]m\angle YPL=\frac{1}{2}m\widehat{LY}[/tex]
[tex]m\angle YPL=\frac{1}{2}\times130^{\circ}[/tex]
[tex]m\angle YPL=65^{\circ}[/tex]
Therefore, the measure of angle YPL is 65 degrees.
Solve 5/8 x - 2/3 y = -3 3/4 x + 1/2 y = -4
Answer:
I am not sure that this is a solvable equation.
Find the solutions to the equation below check all that apply 30x^2-26x+4=0
Answer:
A. 1/5
C. 2/3
Step-by-step explanation:
30x^2 - 26x + 4=0
2(15x^2 - 13x + 2) = 0
2(15x^2 - 10x - 3x + 2) = 0
2[(5x(3x - 2) - 1(3x - 2)] = 0
2(5x - 1)(3x - 2) = 0
5x - 1 = 0; x = 1/5
3x - 2 = 0; x = 2/3
Answer:
x = 1/5, x = 2/3.
Step-by-step explanation:
30x^2 - 26x + 4 = 0
15x^2 - 13x +2 = 0
(5x - 1 )(3x - 2) = 0
5x - 1 = 0 or 3x - 2 = 0
x = 1/5, 2/3.
Erin goes to a stamp fair once a month to buy new stamps for her collection. The equation y = 115 + 10x represents the number of stamps in Erin's collection when she has been to the stamp fair x number of times. How many stamps are in her collection after 7 trips to the fair?
Answer:
Step-by-step explanation:
115+10x = y
After 7 trips to the fair, Erin has 185 stamps in her collection according to to the equation y = 115 + 10x.
To find out how many stamps Erin has after 7 trips to to the fair, we can use the given equation:
[tex]\[ y = 115 + 10x \][/tex]
where:
- [tex]\( y \)[/tex] represents the number of stamps in Erin's collection.
- [tex]\( x \)[/tex] represents the number of times Erin has been to to the stamp fair.
Substituting [tex]\( x = 7 \)[/tex] into the equation, we get:
[tex]\[ y = 115 + 10(7) \][/tex]
[tex]\[ y = 115 + 70 \][/tex]
[tex]\[ y = 185 \][/tex]
So, after 7 trips to the fair, Erin has [tex]\( 185 \)[/tex] stamps in her collection.
Suden wants to know the theoretical and experimental probability of rolling a number smaller than a 3 on a 6-sided number cube numbered 1 to 6. He rolls the number cube 8 times and records the results in this table.
4 2 5 3
5 6 1 4
Drag and drop the answers in the boxes to correctly complete the sentences comparing theoretical probability and experimental probability.
Actually happened
we expect to happen
1/3
1/4
1/6
The theoretical probability of rolling a number smaller than a 3 is _______because this is what_______ . The experimental probability of rolling a number smaller than a 3 is ______ because this is what_______ .
Answer:
The theoretical probability of rolling a number smaller than a 3 is __1/3_____because this is what__we expect to happen____ . The experimental probability of rolling a number smaller than a 3 is __1/4____ because this is what___actually happened____
Step-by-step explanation:
The experimental probability is
P (<3) = ( getting a one or 2)/ number of times that he rolled
He rolled a one or a two 2 times of the 8 times rolled
= 2/8 = 1/4
Theoretical probability is what we expect happen
P (<3) = (getting a one or two) / 6
= 2/6 = 1/3
The theoretical probability of rolling a number smaller than a 3 is __1/3_____because this is what__we expect to happen____ . The experimental probability of rolling a number smaller than a 3 is __1/4____ because this is what___actually happened____
I need help plzzzz help me
Randy caught quails at a slower rate
[tex]y = x + 2 \\ y = 3x - 2[/tex]
Substitute y = x + 2 into y = 3x - 2
x + 2 = 3x - 2
Solve for x in x + 2 = 3x - 2
x = 2
Substitute x = 2 into y = x + 2
y = 4
Therefore,
x = 2
y = 4
The Klein family is taken a weekend trip to their grandparents who live 134 miles away. Mr. Klein always drives at a
steady rate of 60 miles per hour. After 42 minutes into the trip, the kids want to know how many more miles until they get
there. Find the number of miles left to travel.
Answer:
92 more miles
Step-by-step explanation:
60 mph is 1 mile per min so in 42 min they traveled 42 miles and 134 miles minus 42 miles is 92 miles
Which of the following describes a net of the prism
A. Three triangular bases and three rectangular lateral faces
B. Three triangular bases and three triangular lateral faces
C. Two triangular bases and three rectangular lateral faces
D. Two triangular bases in three triangular lateral faces
The answer is C
Explanation; there are 2 triangles and 3 rectangles
The statement that describes the net of the prism is:
C. Two triangular bases and three rectangular lateral faces
Step-by-step explanation:Net of a solid--
A net is a two dimensional figure which can be folded to get a three dimensional figure.
or we may say it is a pattern which is made when we scatter out different faces of the solid or three dimensional figure.
By looking at the given prism we see that it is formed with the help of two triangles and 3 rectangles which are folded in appropriate manner so as to get the prism.If Mike has m pencils and Jen has 3 more pencils than Mike, how many pencils do they have together?
Answer:
Mike = m pencils
Jen = m + 3 pencils
Total = Mike + Jen
= m+m+3
= 2m+3
Step-by-step explanation:
3) This is a writer's opinion or way of seeing an issue.
Answer:
the word is viewpoint
Step-by-step explanation:
Answer:
Viewpoint.Step-by-step explanation:
Viewpoint refers to a particular and individual way to see the world. It's the personal perspective in a specific context, it's people's point of view. For example, in a situation like an accident between a motorcycle and a bus, some people would say that the fault is no the bus drives, other would say that it's on the motorcycle driver, but at the end, those just are different viewpoint.
In this case, a writer's opinion or way of seeing an issue, it's referring to a point of view, or viewpoint, because involves an individual opinion about something.
Which of the statements about the graph of the function y = 2x are true? Check all of the boxes that apply. The domain is all real numbers x because the exponent of 2 can be any real number When the x-values increases by 1 unit, the y-value multiplies by 2. The y-intercept is (0, 1). The graph never goes below the x-axis because powers of 2 are never negative. The range is all real numbers.
Answer:
The correct options are 1, 2, 3 and 4.
Step-by-step explanation:
The given function is
[tex]f(x)=2^x[/tex]
The above function is defined for all the values of x.
⇒ Therefore the domain is all real numbers x because the exponent of 2 can be any real number.
⇒ The x is exponent of 2, therefore the x-values increases by 1 unit, the y-value multiplies by 2.
Put x=0, to find the y-intercept.
[tex]f(x)=2^=1[/tex]
⇒The y-intercept is (0, 1).
The value of f(x) is always greater than 0 because powers of 2 are never negative.
[tex]f(x)>0[/tex]
⇒The graph never goes below the x-axis because powers of 2 are never negative.
⇒Therefore the range of the function is all positive real numbers.
Therefore the correct options are 1, 2, 3 and 4.
The True statements about the graph of the function [tex]y =2^x[/tex] are option a), b), c) and d). Refer the below solution for better understanding.
Given :
[tex]y = 2^x[/tex]
Solution :
Domain is all real numbers x because the exponent of 2 can be any real number.
x is exponent of 2, therefore the x-values increases by 1 unit, the y-value multiplies by 2.
At [tex]x=0[/tex],
[tex]y=2^0=1[/tex]
y intercept -- (0 , 1).
y is always greater than zero because power of 2 never be negative.
Graph never goes below the x-axis because powers of 2 are never be negative.
The range of the function is all positive real numbers.
Therefore all the options are correct.
For more information, refer the link given below
https://brainly.com/question/14418346
The mean of this set of numbers
{20, 30, 40, 50, 60, 70, 80} is??
Answer:
The answer is 50
Step-by-step explanation:
You add up all the numbers and divide the numbers by how many numbers there are.
The answer would be 50!