Answer:
1. No
2. Yes
3. No
4. No
Step-by-step explanation:
2y + 2x = 14 solve for y
Answer:
y = -x + 7
Step-by-step explanation:
Answer:
y = 7 - x
Step-by-step explanation:
move all the terms to the right side of the equation then solve for the variable y
hope this helped
have a good day ^^
Which function is nonlinear? х y -7 -2 -6 2 4 -3 O {(1, 1). (4.2). (9. 3). (16,4)} у 5 0 4 1 3 3 1 O {(-2.-10). (0.4). (2.2), (4.8)}
In order to find the nonlinear function we are going to graph each one:
whitch object has the mass of about one gram
The dimensions and number of animals are given for different corrals
Suppose that the corrals are rectangular in shape. The formula of the area of a rectangle is
[tex]\begin{gathered} A=lw \\ l\to\text{ length} \\ w\to\text{ width} \end{gathered}[/tex]Therefore, the areas of the four different corrals are
[tex]\begin{gathered} A_1=50\cdot40=2000 \\ A_2=60\cdot35=2100 \\ A_3=55\cdot45=2475 \\ A_4=65\cdot40=2600 \end{gathered}[/tex]Then, divide each area by its corresponding population,
[tex]\begin{gathered} \frac{A_1}{110}=18.1818\ldots<20 \\ \frac{A_2}{115}=18.2608\ldots<20 \\ \frac{A_3}{125}=19.8<20 \\ \frac{A_4}{110}=20=20 \end{gathered}[/tex]Therefore, the only corral that meets the requirement is corral 4, the answer is option D.
Which proportion describes the relationship between corresponding sides of the triangles?
Answer: C. WX/RS = 3/6
Explanation:
In the triangle WXY the vertical side is WX, and the horizontal side is XY.
In the triangle RST the vertical side is RS, and the horizontal side is ST.
Since both triangles are similar, this means that their angles have the same measurements, and that there is a propotion or relationship between their sides.
The corresponding sides in this triangle are the following:
WX is a corresponding side with RS
XY is a corresponding side with ST
WY is a corresponding side with RT
Out of the options that we have, the only one that relates two corresponding sides is:
[tex]C\mathrm{}\frac{WX}{RS}=\frac{3}{6}[/tex]This is because as we pointed out, WX ans RS are correponding sides.
Also from the image we see that WX = 3 and RS = 6 wich is correctly placed in option C. Thus C represents the proportion between the two corresponding sides.
Answer: C. WX/RS = 3/6
Find the equation (in terms of xx ) of the line through the points (-4,1) and (3,-2)
First, find the slope of the line that passes through the given points using the slope formula:
[tex]m=\frac{\Delta y}{\Delta x}[/tex]Next, substitute the value of the slope and the coordinates of one of the given points into the slope-intercept form of the equation of a line to find the y-intercept b:
[tex]y=mx+b[/tex]Compute the value of the slope:
[tex]\begin{gathered} m=\frac{(-2)-(1)}{(3)-(-4)} \\ =\frac{-2-1}{3+4} \\ =\frac{-3}{7} \\ =-\frac{3}{7} \end{gathered}[/tex]Replace m=-3/7, x=-4 and y=1 into the slope-intercept form of the equation of a line:
[tex]\begin{gathered} \Rightarrow1=-\frac{3}{7}(-4)+b \\ \Rightarrow1=\frac{12}{7}+b \\ \Rightarrow1-\frac{12}{7}=b \\ \Rightarrow-\frac{5}{7}=b \\ \therefore b=-\frac{5}{7} \end{gathered}[/tex]Replace m=-3/7 and b=-5/7 to get the equation of the line through the points (-4,1) and (3,-2):
[tex]y=-\frac{3}{7}x-\frac{5}{7}[/tex]Therefore, the answer is:
[tex]y=-\frac{3}{7}x-\frac{5}{7}[/tex]
Check PictureThe graph of the rational function f(x) is shown below. Using the graph, determine which of the following local and end behaviors are correct.
Solution
For the rational function given, we are to determine the local an end behaviors.
[tex]\begin{gathered} As\text{ }x\rightarrow-3^-,f(x)\rightarrow\infty \\ As\text{ }x\operatorname{\rightarrow}-3^+,f(x)\operatorname{\rightarrow}\infty \\ As\text{ }x\operatorname{\rightarrow}-\infty,f(x)\operatorname{\rightarrow}-1 \\ As\text{ }x\rightarrow\infty,f(x)\rightarrow-1 \end{gathered}[/tex]These are the correct local and end behaviors
Pls help me lol I dhdhrhdhs
Answer:
........................C...................................
A packing machine wastes 0.17 liters of fruit punch for every case of 36 juice boxes that it fills.
If each juice box contains 0.12 liters, how many liters of fruit punch is packaged per liter of fruit punch wasted?
Round your answer to the nearest tenth.
The quantity of liters of fruit punch that is packaged per liter of fruit punch after waste would be = 4.15 liters.
What is a packaging machine?A packaging machine is defined as the industrial equipment that is used package finished product of food and food products such as juice.
For every case of 36 juice boxes = 0.17 liter of wastes juice
The quantity of juice per box = 0.12 liter
This means that the 36 juice boxes = 36 × 0.12 = 4.32 liters
The quantity of juice that is packaged after the wastes has been removed would be;
= 4.32 - 0.17
= 4.15 liters
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Factor completely; simplify if possible.
t² + 12t + 36 =
Hi guys I need your help :)
Answer:
I'm pretty sure its already simplified because it's t2 t and number
8. For which of the following sets of ordered pairs will the slope between the two points be -3 ? A. (2,4) and (3.8) B. (4,1) and (4.6) C. (1.3) and (-5, -5) D. (1,0) and (0,3)
D. (1,0) and (0,3)
8. Marcy is a real estate agent. She sold a house for $356,700. Her commission from that sale was $12,484.50. What is her commission rate?
Marcy is a real estate agent. She sold a house for $356,700. Her commission from that sale was $12,484.50. What is her commission rate?
we have that
$356,700 represent 100%
so
applying proportion
Find out how much percentage represent $12,484.50
100/356,700=x/12,484.50
solve for x
x=(100/356,700)*12,484.50
x=3.5%
therefore
the answer is 3.5%During an experiment, the current in a circuit was measured 8 times and recorded as shown below. Calculate the standard deviation of the current to two decimal places.
Standard Deviation for given set of data is 0.25634797778466.
What is standard deviation?
Standard deviation is a measurement of how evenly distributed a set of numbers is. Since the variance is the squared average of the squared deviations from the mean, it represents the square root of the variance.For instance: To determine the standard deviation, sum all of the numbers inside this data set, divide by the total number of numbers, and the result is the standard deviation.Given that,
Sample size :12.3,11.9,12.5,12.1,12.6,11.9,12.2,12.1
Count, N: 8
Sum, submission x: 97.6
Mean, x: 12.2
Variance, s2: 0.065714285714286
s^2 = Σ(xi - x)^2/N - 1
= (12.3 - 12.2)2 + ... + (12.1 - 12.2)^2/8 - 1
= 0.46/7
= 0.065714285714286
s = √0.065714285714286
= 0.25634797778466
Standard Deviation for given set of data is 0.25634797778466.
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A triangle has base 2 3/8 feet and height 2 1/4 feet. Find the area of the triangle as a mixed number.
Area of a triangle is given by the formula;
[tex]A=\frac{1}{2}\times b\times h[/tex]where A is the area of triangle
b is the base and h is the height.
From the question given:
b= 2 3/8 = 19/8
h= 2 1/4 =9/4
Substitute the values into the formula and evaluate.
[tex]A=\frac{1}{2}\times\frac{19}{8}\times\frac{9}{4}[/tex][tex]=\frac{171}{64}[/tex][tex]=2\frac{43}{64}\text{ square f}eet\text{ }[/tex]Mary has a tall vase in the shape of a rectangular prism. The vase has a length of 2 1/2 inches, a width of 2 1/2 inches and a height of 12 inches. If Mary fills the vase 1/2 full of water, how much water is in the vase?
Answer:
.eirjjejrjrjejejejejej
Select the correct answer.
The tables show the subscription costs for two magazines. What is the ratio of the cost of Magazine A to the cost of Magazine B?
Magazine A
Duration of Subscription
12 months 36
24 months 72
36 months 108
Magazine B
Duration of Subscription Subscription Cost
(dollars)
12 months 32
24 months 64
36 months 96
A.9:4
B.9:7
C.9:8
D.9:5
We can conclude that the ratio of the cost of magazine A to the cost of magazine B is (C) 9:8.
What is the ratio?A ratio depicts the quantity of one thing in relation to another. Ordinarily, ratios are expressed in the format a:b. If you're making orange squash, the ratio of orange to water will be one part orange to four parts water (1:4). It matters in what order a ratio is stated.So, the ratio of the cost of magazine A: the cost of magazine B:
Magazine A
3672108Magazine B
326496Then, magazine A:Magazine B -
36:32 = 36/32 = 9/8 = 9:872:64 = 72/64 = 9/8 = 9:8108:96 = 108/96 = 9/8 = 9:8Therefore, we can conclude that the ratio of the cost of magazine A to the cost of magazine B is (C) 9:8.
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Write the numbers that will fill in the eighth row of Pascal’s triangle.
To answer this question, we're going to use some important properties of the Pascal's triangle.
1) If we number the rows starting at zero, then the kth row has k + 1 elements.
2) If we number the elements on the kth row starting with zero, then the mth element of row k is given by
[tex]\begin{pmatrix}{k} \\ {m}\end{pmatrix}=\frac{k!}{m!(k-m)!}[/tex]Using those two properties, we can answer our question.
We want to know the numbers that will fill in the eighth row, this means our k = 8.
From the first property, we know that we have 9 elements on this row, and they are given by
[tex]\begin{pmatrix}{8} \\ {m}\end{pmatrix}=\frac{8!}{m!(8-m)!},m=0,1,2,\ldots,8[/tex]Plugging each m value on this equation, we have
[tex]\begin{gathered} \begin{pmatrix}{8} \\ {0}\end{pmatrix}=\frac{8!}{0!(8-0)!}=\frac{8!}{8!}=1 \\ \begin{pmatrix}{8} \\ {1}\end{pmatrix}=\frac{8!}{1!(8-1)!}=\frac{8!}{7!}=8 \\ \begin{pmatrix}{8} \\ {2}\end{pmatrix}=\frac{8!}{2!(8-2)!}=\frac{8\cdot7}{2}=28 \\ \begin{pmatrix}{8} \\ {3}\end{pmatrix}=56 \\ \begin{pmatrix}{8} \\ {4}\end{pmatrix}=70 \\ \begin{pmatrix}{8} \\ {5}\end{pmatrix}=56 \\ \begin{pmatrix}{8} \\ {6}\end{pmatrix}=28 \\ \begin{pmatrix}{8} \\ {7}\end{pmatrix}=8 \\ \begin{pmatrix}{8} \\ {8}\end{pmatrix}=1 \end{gathered}[/tex]And those are the values on the eighth row.
Write an equation in slope-intercept form of the line that contains the points in the table.
Step 1. We are given a table of (x, y) values and we need to select the option that represents the slope calculation.
First, we remember the formula to calculate the slope:
[tex]slope=\frac{y_2-y_1}{x_2-x_1}[/tex]Where (x1, y1) and (x2, y2) are two points or sets of values given for the line.
Step 2. In the numerator of the slope formula, we have a subtraction between y-values.
In the table, the y-values are:
Therefore, in the numerator of the calculation, we must have a subtraction between two of these numbers. This discards options A, and B.
Step 3. In options C and D we have this:
[tex]C.\frac{9-(-3)}{1-(-2)}[/tex][tex]D.\frac{-3-11}{-2-4}[/tex]In option C, there is a correct subtraction of 9 and -3, but in option D, the correct subtraction would be -3-(-11). Therefore option D is also discarded and the correct answer is C.
Answer: C
Neve has 12 full boxes of jars of slime and 7 loose jars of slime. If Neve has a total of 187 jars of slime, which equation can be used to find the number of jars in each box?
Answer:
15 jars in each box
Step-by-step explanation:
linear equation:
12*N + 7
Now we know that Neve has 187 jars in total, then we can write:
12*N + 7 = 187
We want to find the value of N, which is the number of jars in each box, so we need to solve the linear equation:
12*N + 7 = 187
12*N = 187 - 7
12*N = 180
N = 180/12 = 15
xyz with vertices x(1,5) and z(1,1) has an area of 10 units2. what are the coordinates of the third vertex
Answer:
Explanation:
Given the following vertices:
x(1, 5) and y(1, 1)
Suppose the area for thes is 10 units, with the third vertice (a, b) unknown, we have the area of a triangles as:
[tex]undefined[/tex]13/10÷2/10 please help me solve this i need explanation.
When we are doing divisions with fractions, the best thing to do is also write the division as a fraction like this:
[tex]\begin{gathered} \frac{13}{10}\frac{\cdot}{\cdot}\frac{2}{10} \\ \Rightarrow\frac{\frac{13}{10}}{\frac{2}{10}} \end{gathered}[/tex]Now, we multiply 13x2 and put it in the numerator, and 10x2 in the denominator:
[tex]\frac{\frac{13}{10}}{\frac{2}{10}}=\frac{13\cdot10}{2\cdot10}[/tex]Then we solve and simplify if needed:
[tex]\frac{13\cdot10}{2\cdot10}=\frac{130}{20}=\frac{13}{2}[/tex]therefore, the answer is 13/2
What do ALL these quadrilaterals have in common?
Answer:
Explanation:
prepedicualr sides look
1/4 + 3/16
What’s the answer
Answer:
[tex] \frac{7}{16} [/tex]
Step-by-step explanation:
1/4 is equal to 4/16
4/16 + 3/16 = 7/16
Answer:
[tex]\frac{7}{16}[/tex]
Step-by-step
1/4 + 3/16
16+4 ·/4·3
16 + 12/ 4 · 6
28/4· 16
= 7/16
(-1,0), (1,6) Find slope intercept form if the y-intercept is (0,3)
We have two points that will help us to find the slope (m)
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]where
(-1,0)=(x1,y1)
(1,6)=(x2,y2)
then we substitute the values
[tex]m=\frac{6-0}{1+1}=\frac{6}{2}=3[/tex]If the y intercept is (0,3)
the slope-intercept form is
[tex]y=mx+b[/tex]where
m=slope=3
b=y-intercept= 3
[tex]y=3x+3[/tex]
Would we use ">" or "<" to replace the in 5.1489 ? 5.2019. Write only the symbol that is true.
5.1489 is less than 5.2019
Therefore, the symbol between the two decimals would be less than symbol.
That is,
[tex]5.1489<5.2019[/tex]The symbol that would replace ? is <
10 divided by 98 long division please
Answer:
Step-by-step explanation:
0 0
____________
9 8 | 1 0
- 0
______
1 0
- 0
______
1 0
The ratio of measurement of 1 : 2 : 3 is 4 : 9 : 5. Of the three angles, find the measurements of the largest.
Given:
The ratio of the three angles is 4:9:5.
To find the largest angle:
Let the first, second, and third angles be,
[tex]\begin{gathered} \angle1=4x \\ \angle2=9x \\ \angle3=5x \end{gathered}[/tex]Using the angle sum property of a triangle we get,
[tex]\begin{gathered} \angle1+\angle2+\angle3=180 \\ 4x+9x+5x=180 \\ 18x=180 \\ x=10 \end{gathered}[/tex]So, the largest angle is,
[tex]\begin{gathered} 9x=9\times10 \\ =90 \end{gathered}[/tex]Hence, the measurement of the largest angle is 90 degrees.
what is 6 feet 4 inches in decimal form
Answer:
6.333
Step-by-step explanation:
find the cost of each.Gwen Chester has $41.70 in her piggybank. She has one more than threetimes as many dimes as she has nick-els, and she has five times as manyquarters as nickels. How many ofeach coin does she have?
Given that
10 dimes = 1 dollar, this is also known as 10 cents.
4 quarters = 1 dollar, this is also known as 25 cents
20 nickels = 1 dollar, this is also known as 5 cents
Let d represent dime
Let q represent quarter
Let n represent nickel
From the first statement,
[tex]d=3n+1[/tex]From the second statement,
[tex]q=5n[/tex]The total of the coins will be,
[tex]d+q+n=\text{ \$41.70}[/tex]Also,
[tex]0.1d+0.25q+0.05n=41.70[/tex]From the first two equations above,
[tex]\begin{gathered} 0.1(3n+1)+0.25(5n)+0.05n=41.70 \\ 0.3n+0.1+1.25n+0.05n=41.70 \\ 0.3n+1.25n+0.05n=41.70-0.1 \\ 1.6n=41.60 \\ \frac{1.6n}{1.6}=\frac{41.60}{1.6} \\ n=26 \\ \therefore n=\text{26} \end{gathered}[/tex]Let us now get the quantities of the remaining coins
[tex]\begin{gathered} d=(3n+1)=(3(26)+1)=(78+1)=79 \\ \therefore d=79 \end{gathered}[/tex][tex]\begin{gathered} q=5n=5(26)=130 \\ \therefore q=130 \end{gathered}[/tex]Hence, the numbers of each coins are
[tex]\begin{gathered} d=79=0.1(79)=\text{ \$7.9} \\ q=130=0.25(130)=\text{ \$32.5}0 \\ n=26=0.05(26)=\text{ \$1.30} \end{gathered}[/tex]There are 9 boys and 12 girls in the drama club. Which is the ratio of boys to girls?
boys: 9
Girls: 12
Ratio boys to girls :
9:12 = 3/4