Answers
Here, we want to use the graph to check that the ratios are equivalent
To do this, we need to establish that there is a linear relationship between the width and the length
We identify the points given and plot them on the graph
After plotting, we join the points with a straight line passing through the points
Now, after joinin the points with a straight line, we identify the length 20 and trace it to the line. At the point that it touches the line, we get the corresponding width value
We do same for the length 10
Then we fill in the values on the table, then reduce the terms to the lowest values
We will deduce that the lowest value for the points we got through th graph will be the same as that already on the table
Then, with this we can conclude that the ratios are equaivalent and we have succeeded in using the graph to show this
Related Questions
The answer please I’ve been struggling can’t figure it out
Answers
Explanation
The remainder theorem is stated as follows: When a polynomial a(x) is divided by a linear polynomial b(x) whose zero is x = k, the remainder is given by r = a(k).
Thus, to find the remainder when f(-2) divides
[tex]f(x)=-2x^3+x^2+4x-3[/tex]we will simply substitute x =-2 into the function
[tex]f(-2)=-2(-2)^3+(-2)^2+4(-2)-3[/tex]Simplifying further
[tex]f(-2)=-2\times-8+4-8-3=16+4-11=20-11=9[/tex]Therefore, the answer is 9
2.6.PS-10Challenge Emily and Andy each go to a hardware store to buy wire. Thetable shows the cost y in dollars for x inches of the wire they need. Emilyneeds 25 feet of the wire. Andy needs 15 yards of the wire. How much willeach of them spend for wire?HELPPPP MEEEEE
Answers
First, we find the equation that represents the situation
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Let's replace the points (110,6.60) and (135,8.10) where,
[tex]\begin{gathered} x_1=110 \\ x_2=135 \\ y_1=6.60 \\ y_2=8.10 \end{gathered}[/tex][tex]m=\frac{8.10-6.60}{135-110}=\frac{1.5}{25}=0.06[/tex]Once we have the slope of the line, we use the point-slope formula to find the equation
[tex]\begin{gathered} y-y_1=m(x-x_1) \\ y-6.60=0.06(x-110) \\ y=0.06x-6.6+6.6 \\ y=0.06x \end{gathered}[/tex]The equation that represents the problem is y = 0.06x.
Now, let's transform 25 feet and 15 yards into inches.
We know that 1 foot is equivalent to 12 inches, so
[tex]25ft\cdot\frac{12in}{1ft}=300in[/tex]We know that 1 yard is equivalent to 36 inches, so
[tex]15yd\cdot\frac{36in}{1yd}=540in[/tex]Then, we evaluate the equation for x = 300 and x = 540.
[tex]\begin{gathered} y=0.06x=0.06\cdot300=18 \\ y=0.06x=0.06\cdot540=32.4 \end{gathered}[/tex]Hence, Emily will spend $18 for 25 feet of wire, and Andy will spend $32.4 for 15 yards of wire.5. You will serve 120 hamburgers with ketchup at a team cookout. A serving of ketchup is 1/16 cup. How much ketchup will be needed for 120 hamburgers?
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120 hamburgers
1/16 cup of ketchup
therefore
[tex]\frac{1}{16}\times120=\frac{120}{16}=\frac{15}{2}=7\text{ }\frac{1}{2}[/tex]answer 7 and 1/2 cups of ketchup
Suppose that a brand of lightbulb lasts on average 2710 hours with a standard deviation of 111hours. Assume the life of the lightbulb is normally distributed. Calculate the probability that aparticular bulb will last from 2426 to 2861 hours?P(2426 < X < 2861) =Enter your answer as a number accurate to 4 decimal places.*Note: all z-scores must be rounded to the nearest hundredth.
Answers
Answer:
P(2426 < X < 2861) =0.9079
Explanation:
• The average life of the bulb = 2710 hours
,• The standard deviation = 111 hours
We want to find the probability that a particular bulb will last from 2426 to 2861 hours.
Using the z-score formula below:
[tex]z=\frac{X-\mu}{\sigma}\text{ where }\begin{cases}{X=Raw\text{ Score}} \\ {\mu=Mean} \\ {\sigma=Standard\;Deviation}\end{cases}[/tex]We standardize each of the given values:
[tex]\begin{gathered} P\left(2426From the z-score table:[tex]P(-2.56The probability that a particular bulb will last from 2426 to 2861 hours is 0.9079.in the right triangle below the length of AC is 30 what is the length of ab
Answers
The type of right triangle here is the isosceles type
Thus, AB and BC are of the same length
We can call this x
Mathematically, according to Pythagoras' theorem, the square of the hypotenuse AC equals the sum of the squares of the two other sides in a right triangle
Thus, we have this as;
[tex]\begin{gathered} 30^2=x^2+x^2 \\ 2x^2\text{ = 900} \\ x^2\text{ = }\frac{900}{2} \\ \\ x^2\text{ = 450} \\ x\text{ = }\sqrt[]{450} \\ x\text{ = 15}\sqrt[]{2} \end{gathered}[/tex]match the graphs to the situations.You can use a graph multiple times.For each graph match name a possible independent and dependent variable.A.Tyler pours the same amount of milk from a bottle every morning.B.A plant grows the same amount every week.C.The day started very warm but then it got colder.D.A carnival has an entry fee of $5 and tickets for rides cost $1 each.
Answers
A.Tyler pours the same amount of milk from a bottle every morning........Graph B
Independent variable: day
Dependent varialbe: amount of milk
B.A plant grows the same amount every week..............Graph A
Independent varible: week
Dependent variable: amount of growth
C.The day started very warm but then it got colder....................Graph C
Independent variable: hour of the day
Dependent variable: temperature
D.A carnival has an entry fee of $5 and tickets for rides cost $1 each.........Graph A
Independent variable: number of rides
Dependent variable: Total cost of entering the carnival
What is the exact value for the expression √52-√13+√117? Simplify if possible.4√13√132√398√39
Answers
Use the following property of the roots to find the answer if the problem.
[tex]\sqrt[]{a\cdot b}=\sqrt[]{a}\cdot\sqrt[]{b}[/tex][tex]\begin{gathered} \sqrt[]{52}-\sqrt[]{13}+\sqrt[]{117} \\ \sqrt[]{4\cdot13}-\sqrt[]{13}+\sqrt[]{9\cdot13} \\ \sqrt[]{4}\cdot\sqrt[]{13}-\sqrt[]{13}+\sqrt[]{9}\cdot\sqrt[]{13} \\ 2\sqrt[]{13}-\sqrt[]{13}+3\sqrt[]{13} \\ 4\sqrt[]{13} \end{gathered}[/tex]The right answer is the first option.
Find the value of h so the line that passes through (e,f) and (g,h) has a slope of 7. (Hint: Think about solving literal equations.)
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Since the slope has to be 7:
[tex]\begin{gathered} \text{Let:} \\ (e,f)=(x1,y1)=(1,-2) \\ (g,h)=(x2,y2)=(3,12) \\ m=\frac{12-(-2)}{3-1}=\frac{14}{2}=7 \end{gathered}[/tex](calculus !) The equation of the motion of a particle is s = 6t^2 + 5t + 2 where s is in meters and t is in seconds find the velocity as a function of t
Answers
The equation of motion is:
[tex]s=6t^2+5t+2[/tex]Recall that the velocity function v is given by:
[tex]v=\frac{ds}{dt}[/tex]Therefore,
[tex]v=12t+5[/tex]Therefore, the correct answer is choice B:
12t + 5
i can't find the answer fo this question. please help me figure it out
Answers
The image represents a traingle.
In Phoenix, Arizona, the average number of sunny days per year is 211. About what percent of the year is Phoenix sunny?
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A year has 365 days, since 211 in average are sunny days this means that:
[tex]\frac{211}{365}\cdot100=58[/tex]percent of the year is sunny in Arizona.
what is the intermediate step in the form (x+a)^2=b as a result of completing the square for the following equation?Answer( )^2=
Answers
Solution
For this case we have the following equation:
[tex]x^2+2x=319[/tex]If we complete the square we got this:
[tex]x^2+2x+1=319+1[/tex]Then after simplify we got:
[tex](x+1)^2=320[/tex]Three holes are dug for planting trees. The bottom of the holes, relative to the ground level, are -2 4/9, -2.475, and -2 11/15 what is the order farthest to closest
Answers
In the question we are told that the distance of the three holes relative to the ground level is
[tex]-2\frac{4}{9},-2.475\text{ and -2}\frac{11}{15}[/tex]Explanation
We can find the order of the farthest to the closest below:
The first step is to convert the set of given numbers into decimal points to get a better understanding of their values.
[tex]-2\frac{4}{9},-2.475\text{ and -2}\frac{11}{15}=-2.4444,2.475\text{ and -2.7333}[/tex]We can then arrange the values from the farthest to the closest. The number with the highest negative value represents the farthest, while the number with the smallest negative value represents the closest.
After re-arranging based on the above instruction, we have the answer as;
Answer:
[tex]-2.7333,-2.475,-2.4444[/tex]
6) Choose the inequality that represents the statement.You must get a 90 or higher to pass the course.O * = 90O > 90190O I > 90
Answers
Let
x -----> the score
we have that
the inequality that represents this situation is
[tex]x\ge90[/tex]therefore
the answer is the second optionA train car is in the shape of a rign 4 41 feet 12 feet 09
Answers
Input data
w = 4.5 ft
l = 12
h = ?
V = 540 ft3
Procedure
[tex]\begin{gathered} V=w\cdot l\cdot h \\ h=\frac{V}{l\cdot w} \\ h=\frac{540}{4.5\cdot12} \\ h=10 \end{gathered}[/tex]
The answer would be h = 10 feet
A particular style of jacket costs the retailer $90 per jacket. At what price should the retailer mark them so he can sell them at a 10% discount off the original price and still make 40% profit on his cost?
Answers
STEP - BY - STEP EXPLANATION
What to find?
The price the retailer should marked them.
Given:
Cost per pair = $90
Sold at 10% discount
40% profit.
Selling price for 40% profit of the cost is;
[tex]\begin{gathered} 90+40\text{ \% of 90} \\ =90+36 \\ \\ =126 \end{gathered}[/tex]Let S be the price the retailer mark them.
[tex]S-10\text{ \% of S=126}[/tex][tex]\begin{gathered} S-0.1S=126 \\ \\ 0.9S=126 \end{gathered}[/tex]Divide both-side of the equation by 0.9
[tex]S=140[/tex]Hence, he need to mark them at the price of $140
ANSWER
$140
The Greens had a 20 pound bag of bird seed in their garage. Mice got into the bag and ate some of the seed. The Greens then bought an 8 pound bag of seed and put all the seed into a metal container. they now have 24 pounds of seed. How much did the mice eat?
Answers
Answer:
4 pounds
Step-by-step explanation:
In algebra, the amount the mice ate is x:
20 - x + 8 = 24
28 = 24 + x
4 = x
the property tax on a house os .9818 per $100. find the annual property tax on a house valued at $250,000
Answers
Given :
the property tax on a house is 0.9818 per $100.
if the value of the house = $250,000, the tax = x
So,
[tex]\begin{gathered} 0.9818\colon100=x\colon250000 \\ \\ \frac{0.9818}{100}=\frac{x}{250000} \end{gathered}[/tex]solve for x :
[tex]x=250000\cdot\frac{0.9818}{100}=2454.5[/tex]so, the answer is : the annual tax = $2,454.5
Write the equation of the line that passes through the point (4, 5) and is perpendicular to the graph of y = 2x – 3.
Answers
Since it's perpendicular to y=2x-3 then the slope of the new line will be -1/2
then the equation in slope-point form is:
[tex](y-5)=-\frac{1}{2}(x-4)[/tex]and solving for y, we have the equation in slope-intercept form:
[tex]y=-\frac{1}{2}x+7[/tex]What is the measure of the base of the rectangle if the area of the triangle is 28 ft2 ?A) 7 ftB) 14 ft C) 28 ftD) 56 ft
Answers
As given by the question
There are given that the area of the triangle is 28 ft^2.
Now,
What do I do here? I have to write the function’s equation but how?
Answers
Explanation:
Concept:
How do you translate an equation to the right?
To shift, move, or translate horizontally, replace y = f(x) with y = f(x + c) (left by c) or y = f(x - c) (right by c).
To translate an equation down, we will use the formula below
[tex]\begin{gathered} y=f(x)-k \\ \end{gathered}[/tex]The parent functionof the graph on the question is given below as
[tex]f(x)=x^2[/tex]From the graph, we can see that the graph was translated horizontally to the left by 1 units and with this , we will have the equation become
[tex]\begin{gathered} y=f(x+1) \\ y=(x+1)^2 \end{gathered}[/tex]We can also see that the tranlated graph was shifted vertically by 1 units
Hence,
We will have the new equation to be
[tex]\begin{gathered} y=f(x)-1 \\ y=(x+1)^2-1 \end{gathered}[/tex]Hence,
The final answer is
[tex]f(x)=(x+1)^2-1[/tex]THE FIRST OPTION IS THE CORRECT ANSWER
Find the center of the circle whose equation is (x+11)^2+(y-7)^2=121
Answers
Given the following equation of a circle:
[tex]\left(x+11\right)^2+\left(y-7\right)^2=121[/tex]The general equation of the circle is as follows:
[tex](x-h)^2+(y-k)^2=r^2[/tex]Where: (h,k) is the center of the circle and (r) is the radius of the circle
We will compare the two equations
So, h = -11, and k = 7 and r = √121 = 11
so, the answer will be:
The center of the circle = (-11, 7)
a jar contains one red marble, three white marbles, four blue marbles and six green marbles. if you pick a marble at random, replace it, and pick another, what is the probability that the first marble is blue in the second marble is white?
Answers
The probability formula is defined as the possibility of an event to happen is equal to the ratio of the number of outcomes and the total number of outcomes.
From the options given
we can find out that
Red outcome = 1
white outcomes = 3
blue outcomes = 4
green outcomes =6
Total outcome =14
The probability that the first marble is blue can be obtained as follow
[tex]P_{\text{blue}}=\frac{blue\text{ outcomes}}{\text{Total outcomes}}=\frac{4}{14}=\frac{2}{7}[/tex]The probability that the second marble is white can be obtained as follow
[tex]P_{\text{white}}=\frac{\text{white outcome}}{\text{Total outcomes}}=\frac{3}{14}[/tex]Therefore, the probability will be
[tex](P_{\text{blue}}np_{\text{white}})=\frac{2}{7}\times\frac{3}{14}=\frac{3}{49}[/tex]The trapezoid has a height of 16 m. Find the area.
Answers
The area of the trapezoid is 144 squared meters
Here, we want to find the area of the trapezoid
To find the area of the trapezoid, we need the measure of the top and bottom parallel side lengths
From the trapezoid midsegment theorem , the sum of the parallel sides is twice the length of the mid-segment
Since the midsegment is 9 m, then the sum of the considered parallel sides would be 2 * 9 = 18 m
Finally, we apply the formula for the area of the trapezoid as follows;
[tex]\begin{gathered} A\text{ = }\frac{1}{2}(a+b)h \\ h\text{ = height = 16 m} \\ (a+b)\text{ = sum of parallel side lengths = 18 m} \\ A\text{ =}\frac{1}{2}\times16\times18=144m^2 \end{gathered}[/tex]When you add two fractions that have the same denominator, you just need to add the4 3numerators and keep the denominator the same. For example,55 5. Rememberthat if you have an improper fraction (i.e., the top number is larger than the bottomnumber), then you need to change this to a mixed number by dividing the top by the1bottom. For example,Question 3Add ; and 2 and give your answer as a mixed fraction.
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Since our fractions have the same denominator, we get
[tex]\frac{6}{4}+\frac{3}{4}\questeq\frac{6+3}{4}=\frac{9}{4}[/tex]and we must convert this result into a mixed fraction form. We can do this by taking the result of the division and the rest, that is,
then, the result is the final option.
Write an equation that best describes the pattern in the table.a10150 312 424 915 821017bWrite an equation.1(Use the operation symbols in the math palette as needed. Use integers or fractions for
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Answer:
The equation that relates b to a is;
[tex]b=2a[/tex]Explanation:
We want to write an equation that represent the data on the table;
The data can be represented with a linear relationship with origin (0,0), since they both start from (0,0). It can be represented by a proportional relation of the form;
[tex]b=ka[/tex]The constant of proportionality is the ratio of b/a;
[tex]k=\frac{b}{a}[/tex]Using the data on the table we can get k;
[tex]\begin{gathered} k=\frac{b}{a}=\frac{3}{1\frac{1}{2}}=\frac{4}{2}=2 \\ k=2 \end{gathered}[/tex]Therefore, the equation that relates b to a is;
[tex]b=2a[/tex]I am supposed to factor this expression. I came up with (g-3)(g+3)
Answers
The expression is given to be:
[tex]g^2-9[/tex]Rewrite the term:
[tex]9=3^2[/tex]Therefore, the expression becomes:
[tex]g^2-3^2[/tex]Apply the difference of two squares formula:
[tex]x^2-y^2=\left(x+y\right)\left(x-y\right)[/tex]Therefore, the expression becomes:
[tex]g^2-3^2=\left(g+3\right)\left(g-3\right)[/tex]ANSWER
[tex]g^2-9=\left(g+3\right)\left(g-3\right)[/tex]How far will the snowboarder travel in 14 seconds? Explain how you figured it out.
Answers
The snowboarder travels 105 meters in 7 seconds.
This means that the snowboarder travels 105/7 = 15 meters per second (m/s). So, his speed is 15 m/s
Therefore, in 14 seconds, the snowboarder will travel (15 meters per second)*(14 seconds) = 210 meters.
14z2 + 6z + 8 ————————————— = _____ 2
Answers
Answer
7z² + 3z + 4
Step-by-step explanation
Lakia wants to make an enclosed paper basket shaped like a cone for May Day. The slant height of the cone measures 8 inches and the circular opening measures 5 inches across. How much paper does she need for the basket?Round to the nearest tenth at the end.
Answers
Since the paper basked has a shape of a cone we need to use the correct formula for the surface area of a cone. This is shown below:
[tex]A_{surface}=\pi r(s+r)[/tex]Where r is the measurement of the radius and s is the measurement of the slant height. Applying the provided data from the problem we have:
[tex]\begin{gathered} A_{\text{surface}}=\pi\cdot\frac{5}{2}\cdot(8+\frac{5}{2}) \\ A_{\text{surface}}=\pi\cdot\frac{5}{2}\cdot(\frac{21}{2})=\frac{105}{4}\pi=82.47_{} \end{gathered}[/tex]The surface area of the basket is 105/4 pi square inches or 82.47 square inches.