Answer:
x=6
y=-5
Step-by-step explanation:
3x+2y=8 equation 1
x-2y=16 equation 2
equation 2+equation1 ; 4x = 24
x = 6
substitution x in equation1 ;
18+2y=8
2y = -10
y = -5
Find the mode: 22, 19, 15, 16, 18, 18, 5, 18
Answer:
18
Step-by-step explanation:
Mode is the value that appears most often in a set of data values. So, in this case, the answer is 18.
Please help 10 points What side is the HYPOTENUSE? Which side is opposite of angle H? Which side is adjacent to angle H?
which of the following is the correct way to name the entire figure shown
Answer:
Step-by-step explanation:
i
Answer:
your first is right but second is incorrect
this is an ray so the answer is
option c.
QP
Solve for x, round to the nearest tenth. find x x =
Please help me?!!!!!!!!!
I need the answer quickly.
ivy Tech holds a children's fair aimed at kids aged 0-10, but finds that the majority of children who attend are pre-school aged or younger. The distribution of the children's ages at the fair would be an example of:
skewed left
skewed right
symmetrical
uniform
Answer:
B. skewed rightStep-by-step explanation:
The distribution is skewed right because most data concentrated to the left (preschool age or younger) and have longer tail to the right.
Solve the system of linear equations using multiplication.
−4x + 3y = −9
5x − 2y = 48
The solution is_____
PLEASE SHOW WORK
Answer:
The solution is (18,21)
Step-by-step explanation:
The picture shows the steps.
Hope this helps!!!
P=a+b+c;P=36,a=9,b=10
Solve the rational equation [tex]3x+2/5=2x-1/3[/tex]
x = 1
x = 3
x = 6
x = 11
Answer:
Step-by-step explanation:
The equation is written incorrectly. It should be
(3x+2)/5 = (2x-1)/3
Answer:
11
Step-by-step explanation:
Let R be the region in the first quadrant bounded by the graphs of y =x^2 and y=2x, as shown in the figure above. The region R is the base of a solid. For the solid, each cross section
perpendicular to the y-axis is a square. What is the volume of the solid?
A) 0.404
B)0.533
С)1.333
D)2.667
Answer:
The area between the two functions is approximately 1.333 units.
Step-by-step explanation:
If I understand your question correctly, you're looking for the area surrounded by the the line y = 2x and the parabola y = x², (as shown in the attached image).
To do this, we just need to take the integral of y = x², and subtract that from the area under y = 2x, within that range.
First we need to find where they intersect:
2x = x²
2 = x
So they intersect at (2, 4) and (0, 0)
Now we simply need to take the integrals of each, subtracting the parabola from the line (as the parabola will have lower values in that range):
[tex]a = \int\limits^2_0 {2x} \, dx - \int\limits^2_0 {x^2} \, dx\\\\a = x^2\left \{ {{x=2} \atop {x=0}} \right - \frac{x^3}{3}\left \{ {{x=2} \atop {x=0}} \right\\\\a = (2^2 - 0^2) - (\frac{2^3}{3} - \frac{0^3}{3})\\\\a = 2^2 - \frac{2^3}{3}\\a = 4 - 8/3\\a \approx 1.333[/tex]
So the correct answer is C, the area between the two functions is 4/3 units.
The area between the two functions is approximately 1.333 units.
What will be the area?Area is defined as the region bounded by the sides on a plane. The areas of different shapes can be calculated by different formulas.
If I understand your question correctly, you're looking for the area surrounded by the line y = 2x and the parabola y = x², (as shown in the attached image).
To do this, we just need to take the integral of y = x², and subtract that from the area under y = 2x, within that range.
First we need to find where they intersect:
2x = x²
2 = x
So they intersect at (2, 4) and (0, 0)
Now we simply need to take the integrals of each, subtracting the parabola from the line (as the parabola will have lower values in that range):
[tex]a=\int\limits^2_0 {2x} \, dx -\int\limits^2_0 {x^2} \, dx[/tex]
[tex]a=(2^2-0^2)-(\dfrac{2^3}{3}-\dfrac{0^3}{3})[/tex]
[tex]a=4-\dfrac{8}{3}[/tex]
[tex]a=1.333[/tex]
Hence the area between the two functions is approximately 1.333 units.
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Need help on this question
The recommended daily allowance of fat is 65 grams. One serving of oatmeal contains 3 grams of fat. Which proportion can be used to calculate the PERCENT of the daily recommended allowance of fat contained in one serving of oatmeal?
Answer:
One serving of oatmeal provides 4.6% of the daily recommended allowance of fat.
Step-by-step explanation:
3/65 ≅ 0.046 = 4.6%
One serving of oatmeal provides 4.6% of the daily recommended allowance of fat.
The value of a collectible toy is increasing exponentially. The two points on the graph
show the toy's initial value and its value 3 weeks afterward.
The question is incomplete. Here is the complete question.
Part A
The value of a collectible toy is increasing exponentially. The two points on the graph show the toy's initial value and its value 3 weeks afterward.
Express the toy's value t, in dollars, as a function of time w in weeks after purchase.
Part B
Write an expression to represent the toy's value 10 days after purchase
Answer and Step-by-step explanation: An exponential function is of the form: [tex]y=ab^{x}[/tex]
Part A
Translating to the question, the toy's value as a function of time is
[tex]t=ab^{w}[/tex]
To determine constants a and b, we use points given by graph.
First, (0,5) to find a:
[tex]5=a.b^{0}[/tex]
a = 5
Now, (3,10) to determine b:
[tex]10=5b^{3}[/tex]
[tex]b=\sqrt[3]{2}[/tex]
b = 1.26
The toy's value as a function of time in weeks is [tex]t=5.(1.26)^{w}[/tex]
Part B
Since, the function is in weeks:
1 week = 7 days
w weeks = 10 days
[tex]w = \frac{10}{7}[/tex]
Replacing w:
[tex]t=5.(1.26)^{w}[/tex]
[tex]t=5.(1.26)^{10/7}[/tex]
Expression that represents toy's value after 10 days is [tex]t=5.(1.26)^{10/7}[/tex].
Explain why 8 x ¾ is the same as adding ¾ + ¾ + ¾ + ¾ + ¾
8 x ¾ is the same as adding ¾ + ¾ + ¾ + ¾ + ¾
because, when you are adding 3/4
8 times, you are 3/4 plus itself,
eight times,
so you are doing 3/4*8
Which ratio is equivalent to 20:15?
Answer:
4:3
Step-by-step explanation:
together Alice & Mindy have saved $490 for a trip this summer. Amy has saved $54 more than Mindy. How much has each person saved? Write a system & use substitution to solve.
Answer:
Alice saved 218 and mindy saved 218+54
Step-by-step explanation:
Answer:
amy/alice saved 150$ andmindy saved 340$
Step-by-step explanation:
Which expression is equivalent to 1/4(20z+24)?
Answer:
-5z-6Step-by-step explanation:
-1/4 x 20z = -5z
24 x -1/4 = -6
So we have -5z-6. So the expression equivalent to 1/4(20z+24) is -5z-6.
Please help
9(2+17)+13z=17
Answer:
9(19)+13z=17
171+13z=17
13z=171-17
Z=154/13 is the answer
Step-by-step explanation:
Pls mark me in brain list
Answer:
z = -154/13
Step-by-step explanation:
1.) Add the numbers
9(2+17)+13=17
9(19) = 13z = 17
2.) Multiply the numbers
9 x 19 + 13z = 17
171 + 13z = 17
3.) Rearrange terms
171 + 13z = 17
13z + 171 = 17
4.) Subtract 171 from both sides of the equation
13z + 171 = 17
13z + 171 - 171 = 17 - 171
5.) Simplify
Subtract the numbersSubtract the numbers13z = -154
Solution
z = -154/13
Shring's dining room table is round and has a radius of 4.5 feet. What is the tabletop's are ?
Answer:
Step-by-step explanation:
Radius 4.5 feet what’s is the tabletop area
The area of the table top is 63.62 square feet.
What is area in geometry?
'In geometry, the area can be defined as the space occupied by a flat shape or the surface of an object.'
According to the given problem,
Radius of the table = 4.5 feet
Since, the table is round,
Area of a circle = [tex]\pi r^{2}[/tex]
= π × 4.5 × 4.5
= 63.617
Hence, we can conclude, the area of the table-top is 63.62 square feet.
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Six students are working to simplify the expression shown. Drag each student's answer to a box to show whether it is fully simplified, equivalent to the given expression but not fully simplified, or not equivalent to the given expression
Answer:
2x -18x +14y -19 = -16x +14y -19 . . . not the same
-2xy -1 . . . not the same
16x +14y -1 . . . not the same
9 -16x +14y -10 = -16x +14y -1 . . . equivalent
-16x +14y -1 . . . equivalent and simplified
2x -18x +14y -1 = -16x +14y -1 . . . equivalent
Step-by-step explanation:
Answer:
Takk fyrir
Step-by-step explanation:
Convert:
1/4 kilometer to
meters
Answer:
250
Step-by-step explanation:
12. What is the sum of the interior angles for a pentagon? (1 point)
900
540°
720°
108°
Answer:
540°
Step-by-step explanation:
Consider a regular pentagon. Divide it radially into five congruent, isosceles triangles. Each triangle has a vertex angle of 360°/5 = 72°, and base angles of (180°-72°)/2 = 54° each.
An interior angle of the pentagon is made up of two of those 54° angles, so interior angle = 108°.
Sum of interior angles = 5·108° = 540°
R+6> 13 solving one step inequalities
Answer:
R > 7
Step-by-step explanation:
R+6> 13 (subtract 6 from both sides)
R > 13 - 6
R > 7
2) Find the standard deviation for the following data. Round your answer to 2 decimal
places as needed.
71
30
48
78
72
62
59
96
41
44
35
16
74
91
Answer:
23.59
Step-by-step explanation:
The standard deviation of this data set is 23.585, but rounded to the 2nd decimal place (hundredths), the number is 23.59.
Hope it helps!
Lena walks 2.5km every day. How far does she walk in 7 days? Write your answer in meters.
Answer:
17.5 meters
Step-by-step explanation:
To find how far she walks, multiply 2.5 by 7
2.5(7)
= 17.5
So, in 7 days, she walks 17.5 meters
A hydroelectric power plant uses water power to produce a useful form of energy. The diagram below shows the production of electricity using hydropower. During this process, energy causes several types of motion and change inside the power plant.
Answer:
the concrete of the power plant supporting the turbine and generator
Step-by-step explanation:
On average, Gil reads 57 pages in a book each week.
How many pages des Gil read in 12 weeks?
Answer:
684
Step-by-step explanation:
57 times 12
12 weeks times 57 pages= 684 pages in 12 weeks
What is the sum of -4 1/2 + 3 1/4
Answer:
-1
St ifhguerhgihgr
-1
Convert the following Logarithmic Equation into a Exponential Equation.
log_3(-2x+1)=-2y+6
Answer:
3^(-2y + 6) = (-2x+1)
Step-by-step explanation:
We have;
log_3_(-2x+1) = -2y + 6
What this means in exponential form is that;
3^(-2y + 6) = (-2x+1)
3/4 divided by 9/11
Please help me
Answer:
11/42 as a decimal it is 0.2619