Answer:
[tex]g(x) = {(x + 9)}^{2} [/tex]
Solve the system of linear equations below. 2x + 3y = 2 x + 6y = 4 A. x = 0, y = B. x = 2, y = - C. x = , y = D. x = 4, y = -2
Step-by-step explanation:
2x + 3y = 2
x + 6y = 4
2(4-6y) + 3y = 2
x= 4- 6y
8-12y + 3y = 2
x= 4- 6y
-9y =-6 =) y = 2/3
x= 4- 6*2/3 = 0
A. x = 0, y = 2/3
What is the first point of x+3y>9? ( let x=0 )
Answer:
y=3
Step-by-step explanation:
(0,3)
Find the
volumes of the two rectangular prisms
described in the table. If you divide
each dimension of the larger prism
by 2, how does the new volume
compare to its original volume?
Explain.
Answer:
1. 135 2. 16.875
Step-by-step explanation:
1. 5 x 4.5 x 6 = 135
2. 2.5 x 2.25 x 3 = 16.875
Four candidates participated in a school election Bianca received 1/5 of the votes, Chelsea received 0.26 of the votes, Darell received 25% of
the votes, and Francisco received the rest of the votes. What percent of the votes did Francisco receive?
A 29% B 31% C 33% D 35%
Answer:
A - 29%
Step-by-step explanation:
Bianca's 1/5 would be converted to 20%
Chelsea's .26 would be 26%
Darnell's is 25%
Adding these together you get 71. To find the remaining votes that Francisco received you would..
Subtract
100 - 71 = 29%
Therefor, your answer is A.
If Darell earned 25% of the vote and Francisco received the remaining votes, Chelsea would have garnered 0.26 percent of the vote. 29% of the votes were cast in favor of Francisco. Option A is correct.
What is the percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
Given that there were four candidates running for office in the school election, Bianca won 1/5 of the vote, Chelsea got 0.26, Darell got 25%, and Francisco got the remaining votes.
Bianca's 1/5 would be converted to 20% and Chelsea's .26 would be 26%, Darnell's is 25%
Adding these together you get 71. To find the remaining votes that Francisco received you would be applying the subtraction operations,
100 - 71 = 29%
Thus, if Darell earned 25% of the vote and Francisco received the remaining votes, Chelsea would have garnered 0.26 percent of the vote. 29% of the votes were cast in favor of Francisco. Option A is correct.
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0.00003
2 x 10-5
=
?
Answer:
[tex]0.00003=3[/tex]×[tex]10^{-5}[/tex]
[tex]2[/tex]×[tex]10^5[/tex] = [tex]200,000[/tex]
Step-by-step explanation:
When working with scientific notation, you are either given a decimal or whole number. The point of scientific notation is to rewrite a number in a more simplified form.You need to change the number so that there is one number on the left side of the decimal. An exponent is used to describe the change in the number. For example:
0.00003
In order to get one number to the left of the decimal, you need to move the decimal to the right 5 spaces. Since the zeros are to the left of the primary number (3), the exponent will be negative. The exponent itself will be the spaces you moved:
[tex]3[/tex]×[tex]10^{-5}[/tex]
The ten is used because of the decimal places you are moving. When you multiply a number by 10, you add a zero. For example:
[tex]2[/tex]×[tex]10^5[/tex]
Since there is a 10, we will be adding in zeros. The exponent determines how many zeros will be added. Since it is a positive number, the numbers will be to the right of the primary number:
200,000
Data was collected on the weight of a male laboratory rat for the first 25 weeks
after its birth. The linear regression equation is y= 40x+100, where x is number of
weeks and y is weight in grams.
What does the y-intercept mean in context of the problem?
The predicted weight of the rat in year 0.
The current weight of the rat.
The predicted weight of the rat at birth
The average increase in the rat's weight
Answer:
[tex] y = 40x +100[/tex]
where x is number of weeks and y is weight in grams.
For this case the y intercept is the value 100 and represent the initial weight for 0 weeks and the best interpretation for this case is given by:
The predicted weight of the rat at birth
And the reason is because the starting value for the weigth represent the weight for the birth
Step-by-step explanation:
For this case we have the following equation given:
[tex] y = 40x +100[/tex]
where x is number of weeks and y is weight in grams.
For this case the y intercept is the value 100 and represent the initial weight for 0 weeks and the best interpretation for this case is given by:
The predicted weight of the rat at birth
And the reason is because the starting value for the weigth represent the weight for the birth
A. Does the plot contain any gaps?
B. Is so, where?
EASY!!!!!!
What is the area of figure?
A trapezoid with short base eighteen centimeters, long base thirty-eight centimeters, height sixteen centimeters, and diagonal side lengths twenty centimeters.
A. 320 square centimeters
B. 608 square centimeters
C. 448 square centimeters
D. 560 square centimeters
Answer
B. 608
Step-by-step explanation:
38-14=24
24*16=384
14*16=224
384+224=608.
you are welcome!!
The area of the figure is 608 square centimeters.
How to determine the area of the trapezoid?
Given
A trapezoid with a short base of eighteen centimeters, long base of thirty-eight centimeters, height of sixteen centimeters, and diagonal side lengths of twenty centimeters.
Thus,
38-14=24
24*16=384
14*16=224
384+224=608.
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Difference of complex number (-2+5i)-(9+3i)
Answer: 2i-11
Step-by-step explanation:
[tex](-2+5i)-(9+3i)\\-2+5i-9-3i\\2i-11[/tex]
Describe the end of behavior
Answer:
Step-by-step explanation:
Recognize that this is the exponential function y = e^x with some tweaks:
f(x) = 2e^x + 1, as compared to y = e^x.
y = e^x is a basic function that we all should know well. Its graph looks much like the graph shown as "Part A." The graph starts in Quadrant II, crosses the y-axis into Quadrant I, and then continues growing rapidly as x increases.
As x => positive infinity, y => positive infinity. This is true of f(x) = 2e^x + 1 also.
As x => negative infinity, y => 0 (speaking of y = e^x).
As x => positive infinity, f(x) = 2e^x + 1 => positive infinity, in Quadrant I.
Please help. Is it the x axis is tangent to circle or is it y axis tangent to circle???
Answer:
Step-by-step explanation: the radius is 4
The half-life of a certain radioactive element is 35 hours. If there are 904 grams of this element, how much will be left after 70 hours? PLEASE HELP I MIGHT FAIL MATH.
===========================================================
Explanation:
The half-life is 35 hours. This means every 35 hours, the amount of the substance is cut in half. If we started with 100 grams, then 35 hours later, we will have 50 grams. Then another 35 hours later we will then have 25 grams, and so on.
In this case, we start with 904 grams and follow this sequence:
904, 452, 226, 113, ...
Each term is cut in half. Going from term to term it takes 35 hours each. The third term 226 is the result of waiting two half-lives, which is 2*35 = 70 hours that have elapsed total.
--------------
If you want to use a formula, then it would be
[tex]y = A*\left(\frac{1}{2}\right)^{x/H}[/tex]
where,
H = half-life duration (in this case, it is 35)
A = starting amount (which is 904 in this case)
x = amount of time that has elapsed (we will plug in x = 70)
y = final amount after x units of time has elapsed
note that x and H must have the same time unit. Both are in terms of hours in this case.
------------
So we will plug A = 904, x = 70, H = 35 into the formula to get...
[tex]y = A*\left(\frac{1}{2}\right)^{x/H}\\\\y = 904*\left(\frac{1}{2}\right)^{70/35}\\\\y = 904*(0.5)^{2}\\\\y = 904*(0.25)\\\\y = 226\\\\[/tex]
We see that x = 70 leads to y = 226. This means after 70 hours, there is 226 grams of the material left.
Please help meeee.............i will mark as brainliest
Answer:
2 workers x 40 hours x 4 weeks = 320
5312/320=16.6 so they need to get 16.6 dollars per hour
Step-by-step explanation:
Answer: $ 33.20
Step-by-step explanation:
Both are working 40 hours a week, so together they work 80 a week. 80 hours a week for 4 weeks gives you 320 hours a month. $5312 divided by 320 hours gives you $16.60 per hour, Together you would have $33.20
Rectangle WXYZ is shown on a coordinate plane. On a coordinate plane, a rectangle has 4 points. Point W is (1, 1), point X is (10, 1), point Y is (10, negative 3), and point Z is (1, negative 3). What is the length of side XY? units
Answer:
the length of the side XY is 4 units
Step-by-step explanation:
To find the length of side XY, what we do is to find the distance between the points X and Y
To find this distance, we employ the use of the formula for finding the distance between two points on a Cartesian plane.
Mathematically, the distance d which represents the length XY is given by;
d = √{(x2-x1)^2 + (y2-y1)^2}
Where point X represents the coordinates (x1,y1) = (10,1) while point Y represents the coordinates (x2,y2) = (10,-3)
Plugging these values into the formula, we have;
d = √{(10-10)^2 + (-3-1)^2}
d = √{(0)^2 + (-4)^2}
d = √(0 + 16)
d = √(16)
d = ± 4
but since distance cannot be negative, we ignore the -4 and thus we choose 4 units as the length between the points XY
Answer:
4 units
Step-by-step explanation:
Please Help!!! As quickly as possible!!!
Answer: Bristol's heart rate reaches a maximum of 120
bpm
Step-by-step explanation:
Answer:
Bristol's heart rate reaches a maximum of 120 bpm
At the end of yoga class, Bristol's heart rate returned to her resting heart rate
The graph that models Bristol's heart rate is a parabola
Step-by-step explanation:
Find the LCM of 2, 10, and 6
Answer:
30
Step-by-step explanation:
Answer:
LCM(2,6,10)
Least Common Multiple is :
30
Calculate Least Common Multiple for :
2, 6 and 10
Factorize of the above numbers :
2 = 2
6 = 2 • 3
10 = 2 • 5
Build a prime factors table
Number of times each prime factor
appears in the factorization of :
Prime
Factor Number
2 Number
6 Number
10 L.C.M
(max)
2 1 1 1 1
3 0 1 0 1
5 0 0 1 1
LCM = 2 • 3 • 5
Least Common Multiple is :
30
Which expression is equivalent to 5x + 5y − 2z? Which property justifies the expressions being equivalent?
A) 5(x + y) − 2z; distributive property
B) 5(x + y − 2z); distributive property
C) 8xyz; subtraction property
D) 10xy − 2z: associative property
Answer:
5(x + y) − 2z; Distributive Property
Step-by-step explanation:
The coefficient for both 5x and 5y is 5; therefore, use the distributive property to rewrite the sum as 5(x + y).
Answer:
A) -4z^3+4z^2+6z+35
Step-by-step explanation:
Help please
Find the unknown area of a circle Use Pi measures 3.14, r measures 7 ft find the area
Answer:
153.86 square feet
Step-by-step explanation:
The formula for the area of a circle is : [tex]\pi *radius^2[/tex]
To work this out you would simply multiply pi by the radius of 7 squared, this gives you 153.86. This is because if you were to substitute the values into the formula you would also get the same answer.
1) Multiply pi by 7 squared.
[tex]\pi *7^2=153.86 feet^2[/tex]
In this question pi is as 3.14
Two angles of a triangle measure 12° and 40°.
What is the measure of the third angle of the triangle?
Answer:
128
Step-by-step explanation:
The sum of angles in the triangle is 180 degrees
12 + 40 + x = 180
52 + x = 180
x= 180 - 52 = 128 degrees
(x is the third angle of the triangle)
The measure of the third angle of the triangle is 128degrees
The sum of an interior angle of a triangle is 180 degrees.
Let the third angle of the triangle be x, hence;
12 + 40 + x = 180
52 + x = 180
Subtract 52 from both sides
52 + x - 52 = 180 - 52
x = 180- 52
x = 128degrees
Hence the measure of the third angle of the triangle is 128degrees
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[21] Please help. What is the volume of the cooler in cubic inches?
Enter your answer as a number, like this: 42
Answer:
3,724
Step-by-step explanation: Length x width x height
19 x 14 x 14
19 x 14 = 266
266 x 14 = 3,742
hope this helped :)
This pyramid is cut by the plane shown. The plane is parallel to the base of the square pyramid. What is the shape of the cross-
section?
A)
rectangle.
B)
rhombus.
square.
D)
triangle
Answer:
c
Step-by-step explanation:
Answer: THE ANSWER IS c
Step-by-step explanation:
Which is a solution to x + 5 = 8?
Answer:
x = 3
Step-by-step explanation:
Step 1 :
Solving a Single Variable Equation :
1.1 Solve : x-3 = 0
Add 3 to both sides of the equation :
x = 3
Then you will get the answer that is x = 3
Hope this helps
True or False a scaled bar graph has a key
Answer:
true
Step-by-step explanation:
u can colour code it an say what it means
To finish a project, you need to paint the lateral surfaces of a cube with side length 2.5 inches. Find the area that you need to paint.
Answer:
[tex]25 in^2[/tex]
Step-by-step explanation:
We want to find the lateral surface area of the cube.
The lateral surface area of a cube is given as:
[tex]A = 4a^2[/tex]
where a = length of side of the cube
Therefore, given that the length of the side of the cube is 2.5 inches, the area you need to paint is:
[tex]A = 4 * 2.5^2\\A = 25 in^2[/tex]
Eduardo has purchased a home with an assessed value of $179,000. The
property tax rate in his area is 2.3%. What is his monthly tax payment?
O A. $343.08
O B. $341.98
C. $345.76
O D. $348.67
Answer: A. 343.08
Step-by-step explanation:
with the property tax rate and monthly tax payment is what were looking for
What is the solution of the inequality shown
below?
y-1 > 0
Answer:
y>1
Step-by-step explanation:
y-1 > 0
Add 1 to each side
y-1 +1> 0+1
y>1
The frequency table represents the results of a survey comparing the average age of household members to the way that they watch non-network television. A 4-column table with 3 rows titled Television Viewing Method. The first column has no label with entries internet, cable, total. The second column is labeled average household age under 40 with entries 54, 81, 135. the third column is labeled average household age 40 or older with entries 23, 92, 115. the fourth column is labeled total with entries 77, 173, 250. Madigan converts the frequency table to a conditional relative frequency table by row. Television Viewing Method A 4-column table with 3 rows titled Television Viewing Method. The first column has no label with entries internet, cable, total. The second column is labeled average household age under 40 with entries W, Y, 0.54. The third column is labeled average household age 40 or older with entries X, Z, 0.46. The fourth column is labeled total with entries 1.0, 1.0, 1.0. Which value should she use for X? Round to the nearest hundredth. 0.09 0.20 0.25 0.30
Answer:
For X they would have to divide the number from the first given chart for average household of the people that are ages 40 or under, which is 23, by the total internet, which is now 77.
Therefore, X = 23/77 = 0.2987, which would round to 0.30
Mark as brainliest please, I need a few more :)
Answer:
.30
Step-by-step explanation:
< 40 > 40 total
internet 54 23 77
cable 81 92 173
total 135 115 250
< 40 > 40 total
internet w x 1
cable y z 1
total .54 .46 1
x is 23 /77 =.29870
Multiply
(2x + 4)(2x - 4)
Answer:
4x^2 -16
Step-by-step explanation:
(2x + 4)(2x - 4)
FOIL
first:2x*2x = 4x^2
outer: -4 *2x = -8x
inner: 4*2x = 8x
last: -4*4 = -16
Add them together
4x^2 -8x+8x =-16
4x^2 -16
The multiplication of the expression (2x + 4)(2x - 4) is 4x² - 16.
What is the simplified form of the expression?Given the expression in the question:
(2x + 4)(2x - 4)
We can multiply the expression (2x + 4)(2x - 4) using the distributive property and the FOIL method.
(2x + 4)(2x - 4)
Apply the FOIL method:
2x( 2x - 4 ) + 4( 2x - 4 )
Apply distributive property:
2x × 2x + 2x × - 4 + 4 × 2x 4 × - 4
Multiply the terms:
4x² - 8x + 8x - 16
Collect and add like terms:
4x² - 16
Therefore, the simplified form is 4x² - 16.
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There are 1 1/2 pounds of bricks in a bag. Each brick weighs 1/6 of a pound. How many bricks are in the bag?
Write your answer as a fraction or as a whole or mixed number.
Answer:
answer = about 9
Step-by-step explanation:
1 1/2= 3/2. 3/2 divided by 1/6= 8.99999999999999999 or about 9.
The scatter plot shows the number on minutes spent reading (x) and the number of pages read (y) by each Seven student last night. Use the labeled points to create a linear model that predicts the number of pages that a typical student reads in x minutes. Which equation represents this linear model?
Answer:
a
Step-by-step explanation:
Answer:
a
Step-by-step explanation: