Answer:
True
Step-by-step explanation:
A parallelogram is a quadrilateral with both pairs of opposite sides parallel.
Answer:
True bc both paired of opposite sides are parallel
Step-by-step explanation:
Hope this helps
Correct me if this is wrong
The function g is defined by g(x) =
x + 5
4x + 3
Find g (5a)
A marine biologist is interested in the daily percent intake of a particular nutrient and how it relates to growth of tiger
shrimp. She finds the growth of the tiger shrimp, G, is dependent on the daily percent intake of this nutrient, X, and can be
modeled by the function
Go) = 2 +7x.
Answer:
See picture attached
Step-by-step explanation:
The missing question is:
Draw the graph of the growth function by plotting its G-intercept and another point.
Given the function:
G(x) = 2 + 7x
its G-intercept is found when variable x is equal to zero.
G(0) = 2 + 7(0) = 2
Then, the G-intercept is point (0, 2)
To graph a line, two points are needed. Replacing x = 1 into the equation, we get:
G(1) = 2 + 7(1) = 9
So, point (1, 9) is on the line. The graph of the function is the line that passes through these two points, as can be seen in the picture attached.
what is 2 with an exponent of negative 2 equal to?
Answer:
So since we have 2^-2 We can do 1/2^2 = 0.25
So if you have y^-x = 1/y^x
Answer:
1/4
Step-by-step explanation:
negative exponent rule says a ⁻ⁿ = 1/ aⁿ so:
2⁻² =1/2² = 1/4
Triangle G H F is shown. Angle F G H is a right angle. The length of G H is 28 and the length of hypotenuse F H is 40.
Law of sines: StartFraction sine (uppercase A) Over a EndFraction = StartFraction sine (uppercase B) Over b EndFraction = StartFraction sine (uppercase C) Over c EndFraction
What is the approximate measure of angle F? Use the law of sines to find the answer.
11.5°
44.4°
68.0°
81.9°
Answer:
44.4
Step-by-step explanation:
right on edge
subtract (-3y2 − 8) − (-5y2 + 1)
Answer:
2 y^2 - 9
Step-by-step explanation:
(-3y^2 − 8) − (-5y^2 + 1)
Distribute the negative sign
(-3y^2 − 8) + 5y^2 - 1
Combine like terms
-3y^2 + 5y^2 - 1 − 8
2 y^2 - 9
Answer:
The answer to (-3y² - 8) - (-5y² + 1) is 2y² - 9
Step-by-step explanation:
[tex](-3y^2-8)-(-5y^2+1)[/tex]
Since there is a minus sign in front of the second parentheses, then the terms within that parentheses will be changed to their opposite signs.
[tex]-3y^2-8+5y^2-1[/tex]
Combine like terms.
[tex]2y^2-9[/tex]
Help. Will mark brainiest
Answer:
Step-by-step explanation:
The third, fifth and sixth expressions (from the top) are NOT polynomials, and the reason in each case is that the expression has one or more negative powers of x in it.
2 Points
The table shows the number of weeks of vacation employees receive each
year, based on the number of years they have been employed. What does
(15) = 5 mean in terms of the problem?
Years of
Service
Weeks of
Vacation
1
2.
1
2
5
10
15
20
30
3
4
5
6
8
O A. There are 5 workers who have 15 years of service each
OB. A worker took 5 weeks of vacation in 15 years.
O C. A worker with 15 years of service gets 5 weeks of vacation each
year
OD. A worker with 5 years of service gets 15 weeks of vacation each
year
SUBMIT
The answer to your question is 3
Function gis transformed to obtain function has shown.
g(x + 2) - 5
Which statement describes how the graph of his different from the graph of g?
A
The graph of h is the graph of g shifted 5 units to the left and 2 units down.
B.
The graph of h is the graph of g shifted 5 units to the right and 2 units up.
The graph of h is the graph of g shifted 2 units to the left and 5 units down.
C.
D.
The graph of h is the graph of g shifted 2 units to the right and 5 units up.
Reset
Next
Answer:
dont get mad if I got it wrong but I think its C
Find the vertex of the parabola.
f(x) = 5x2 - 30x +49
a. (3,0)
b. (3,4)
C. (4,0)
d. (4,3)
Answer:
B.
Step-by-step explanation:
because the vertex of parabola is f(x)
Which of the following questions describes the equation 4n = -24?
What number, when multiplied by -24, equals 4?
What number, when divided by 4, equals -24?
What number, when multiplied by 4, equals -24?
What number, when divided by -24, equals 4?
A can contains 15/16 pounds of vegetables . one serving of these vegestables weights 3/16 . what is the total number of serving of vegetables in the can
Since both fractions have the same denominator, divide the numerators:
15/3 = 5
There are 5 servings.
One student says -5 is bigger than -4 and uses money as the analogy: “If I owe $5, I have a bigger debt than if I owe $4.” What is wrong with this argument?
Answer:
This is a bad argument because when talking about negative numbers, the closer the numbers are to 0, the bigger they are. -4 is closer to 0 than -5, so -4 is the bigger number.
Step-by-step explanation:
Answer:
-5 is not larger than -4.
Step-by-step explanation:
Think of a number line. The absolute value of -5 is 5, meaning -5 is 5 away from 0 to the left. On the other hand, -4's absolute value is 4, meaning -4 is 4 away from 0 to the left. In the money scenario, owing $5 is a bigger debt because the absolute value is larger, not the number itself. Hope this helps!!
A calculator that is regularly priced $20 is on
sale for 40% off. What is the sale price of the
calculator?
Answer:
$12.00
Step-by-step explanation:
a product that normally costs $20 with a 40 percent discount will cost you $12.00, and you saved $8.00.
Need Help ASAP!!!!!....
Find the value of x in each case. Give reasons to justify your solutions!
Q ∈ PR
Answer:
x = 52 Degrees
Step-by-step explanation:
Welp, here I go again
According to the Exterior Angle theorem Angle R + Angle S = Angle PQS
So simplified that'd be (90 + 34) = x + 72
124 = x + 72
x = 124 - 72
x = 52 Degrees
I just want u guys to check it and see if it is right if it is say it is and if not please correct me and tell me the answer :)
Lesson 1 exit ticket Name
Please make a copy and then work on it, thank you!
1, Fill in the chart converting between fractions, decimals and percents.
Fraction Decimal Percent
⅛ 0.125 12.5%
1245/1000 1.245 124.5%
40/100 .4 ⅖ %
Show your work here.
8 times .125 = 1 that is 12.5%.
1.245 = 1245/1000 which is 124.5%.
⅖% is 40% which equals 0.4 or 40/100
2. Using the values from the chart in problem 1, list them from least to greatest.
12.5%
⅖%
124.5%
The first two values were calculated, but the 0.4 one is wrong.
2/5% would result to 0.4% which is converted to 0.004 so it's wrong.
40/100 would be reduced to 2/5.
2/5 would result to 0.4.
0.4 means 40%.
If the question intentionally gives 2/5%, then you have to compute it all the way back.
2/5% to 0.4% to 0.004 to 4/1000
I have no clue what part is given but you can get the idea where this is going.
The second one depends on the value in question one.
So Good luck!
Find the value of n.
n = -1.-7
Answer:
n = 7
Step-by-step explanation:
n = (-1) x (-7)
Simplify:
When two minus signs appear in the product of two numbers, you can cancel them out.
Therefore:
n = (1) x (7) = 7
Hope this helps!
:)
Your mom bought a new couch on sale for $840. If the sale was 30%, what was the Original Price?
Answer:
1200$
Step-by-step explanation:
(840/(100-30))*100
(840/70)*100
12*100
1200
Please help ASAP- will give brainliest! Picture Below
Answer:
c
Step-by-step explanation:
Answer:
A - ( 2, - 4 )
Step-by-step explanation:
M, N , O is reflected at the points (-2,2) - O (-5,3) - M (-2,4) - N, and the triangle MNO is rotated 180 degrees around the origin , Down once because the triangle is being rotated around the origin and then right which would be the answer A. Hope this Helps : )
A fruit basket contains seven apples, four bananas, and eight pears. If a piece of fruit is picked at random from the basket, which of the following is closest to the probability that it is not a banana?
1) 0.21
2) 0.68
3) 0.79
4) 0.32
Answer:
1) 0.21
Step-by-step explanation:
This is because there are 4 bananas out of all 19 fruits. 4/19 is equal to 0.21052631578.
Which is the best reason why 2/3 is the exact quotient for 1/4 divided 3/8
Because if you divide 1/4 by 3/8 you get 2/3.
You enjoy reading in your free time and keep every book you have ever read. When you were five, you read 2 books and every year after you tripled the number of books you read. How many books did you have in your bookcase when you were 11 years old?
The total number of books that we had in out bookcase when we were 11 years old was 2,187 books.
What is a geometric sequence and how to find its nth terms?Suppose the initial term of a geometric sequence is [tex]a[/tex]
and the term by which we multiply the previous term to get the next term is [tex]r[/tex]
Then the sequence would look like
[tex]a, ar, ar^2, ar^3, \cdots[/tex]
(till the terms to which it is defined)
Thus, the nth term of such sequence would be
[tex]T_n = ar^{n-1}[/tex] (you can easily predict this formula, as for nth term, the multiple r would've multiplied with initial terms n-1 times).
What is the sum of terms of a geometric sequence?Lets suppose its initial term is [tex]a[/tex] , multiplication factor is [tex]r[/tex]
and let it has total n terms, then, its sum is given as:
[tex]S_n = \dfrac{a(r^n-1)}{r-1}[/tex]
(sum till nth term)
For this case the initial number of books (2) is multiplied by 3 each year.
So we got:
a = 2,
r = 3
Since a = 2 was for age 5, and if we take age 5 at 1st position, then age 11 is at the 7th position.
The number of books we read at each age is a geometric sequence with initial term 2 and multiplication factor 3.
The sum of its term(which would make it geometric series) will give the total number of books we will have.
Since age 11 is at 7th position, so n = 7
Thus, the total number of books we had in the bookcase when we were 11 years old is:
[tex]S_n = \dfrac{a(r^n-1)}{r-1}\\\\S_7 = \dfrac{2((3)^7-1)}{3-1} = 2187[/tex]
We could've derived it without formula as:
Age 5: 2 booksAge 6: [tex]2 \times 3[/tex] booksAge 7: [tex]2 \times 3^2[/tex] booksAge 8: [tex]2 \times 3^3[/tex] booksAge 9: [tex]2 \times 3^4[/tex] booksAge 10: [tex]2 \times 3^5[/tex] booksAge 11: [tex]2 \times 3^6[/tex] booksTheir sum is 2187.
Thus, the number of books that we had in out bookcase when we were 11 years old was 2187 books.
Learn more about sum of terms of geometric sequence here:
brainly.com/question/1607203
Jayne polled 50 students about their preferred after-school sport and then recorded the data in the table below. Which sport is more popular?
A. You can use a relative frequency table to examine how data sets are related by comparing percentages.
B. Row and column relative frequency tables tell you the same information as total relative frequency tables.
C. A column relative frequency table helps compare data in two different rows.
D. In a column two-way relative frequency table, each column totals 100%.
Step-by-step explanation:
D. In a column two-way relative frequency table, each column totals 100%.
A company is replacing cables with fiber optic lines in rectangular casing BCDE. If segment DE = 3 cm and segment BE = 3.5 cm, what is the smallest diameter of pipe that will fit the fiber optic line? Round your answer to the nearest hundredth.
Answer: 3.66 cm
Step-by-step explanation: Given a rectangular casing BCDE with segment DE = 3 cm and segment BE = 3.5 cm.
The area A of a rectangle is length multiply by width.
Where length L = 3.5 cm and
width W = 3 cm
Area A = 3.5 × 3 = 10.5 cm^2
The pipe that will fit the fiber optic line is in cylindrical shape. Where area of a cylinder = πr^2.
But area A = 10.5. Substitute the values for the area of the cylinder
10.5 = πr^2
10.5 = 3.143 × r^2
Make r^2 the subject of formula
r^2 = 10.5/3.143
r = sqrt ( 3.34225 )
r = 1.828
Diameter = 2 × radius
Diameter = 2 × 1.829
Diameter = 3.656 cm
Therefore, the smallest diameter of pipe that will fit the fiber optic line is 3.66 cm approximately.
Answer:
4.24 cm
Step-by-step explanation:
pythagorean theorem
a^2+b^2=C^2
3^2+3^2=18
square root of 18 =4.24
hope this helped :)
Consider the function f(x) = x5 – 3x2 + 5x. Let g(x) = f(–x + 4). Which shows the graphs of f(x) and g(x)
Answer:
The first graph
Step-by-step explanation:
I think it is the first one because I remember doing this. If this is wrong please forgive me. Have a wonderful day!
First graph shows the function f(x) and g(x).
What is graph?" Graph is representation of the coordinates on the coordinate plane along x-axis and y-axis."
According to the question,
Given function,
[tex]f(x) = x^{5} -3x^{2} +5x\\\\g(x) = f(-x+4)[/tex]
Plot the given functions on the graph we get,
Compare the drawn graph with the given graph.
First graph is same as graph drawn for the function f(x) and g(x).
Hence, we conclude that first graph shows the function f(x) and g(x).
Learn more about graph here
https://brainly.com/question/20381610
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Solve the following system:
y = x + 3
4x + y = 18
Your answer:
(6, 3)
(3, 6)
(−3, 6)
(3, −6)
Answer:
B (3,6)
Step-by-step explanation:
y = x + 3
then we will use this y to substitute the other y
4x + y = 18
4x + (x +3) = 18
4x + x + 3 = 18
5x = 18 - 3
5x = 15
x = 15/5 = 3
then we can find the value of y
y = x + 3 = 3 + 3 = 6
so the (x,y) is (3,6)
The numerical coefficient in "6m" is:
The numeral coefficient is the number ( the one that we know)- so its 6
The math department needs to buy new textbooks and laptops for
the computer science classroom. The textbooks cost $89.00 each, and
the laptops cost $395.00 each.
a. If the math department has $7200 to spend and purchases 60
textbooks, how many laptops can they buy?
b. Suppose the math department decided to purchase 35
textbooks instead of 60. How does this change the number of
laptops that they can buy?
Answer:
a. 4
b. 10
Step-by-step explanation:
A. If the math department buys 60 textbooks, which are $89 each, we need to multiply 60 by $89 to get the amount that the textbooks will cost. This gives us $5340. Since the math department has $7200 to spend, we subtract 5340 from 7200. This gives us $1860 that the math department has left to spend on laptops. Since the laptops cost $395 each, and we have $1860 to spend, we divide 1860 by 395 to figure out how many laptops they can buy. This is 4.7. Since you can't buy 0.7 of a laptop, they can only buy 4 laptops. The final answer is 4.
B. The math department has $7200 to spend and buys 35 textbooks, which are $89 each. Multiply 35 by 89. This is $3115. Subtract this from $7200 to see how much the department has left to spend. The math department now has only $4085 to spend on laptops, which are $395 each. Divide 4085 by 395. This gives us 10.3. We can't buy 0.3 of a laptop, so they can only buy 10 laptops. The answer is 10.
Answer:
A:$7200-$5340
=$1860
They can buy 4 laptops which will cost $1580 and leave you with $280
B: 35 textbooks will cost $3115, which will leave us with $4085, so we can get 10 laptops
Step-by-step explanation:
Given the objective function C=3x−2y and constraints x≥0, y≥0, 2x+y≤10, 3x+2y≤18, identify the corner point at which the maximum value of C occurs.
Answer:
Step-by-step explanation:
Find the maximum value of
C = 3x -2y Objective function
subject to the following constraints.
Constraints
x ≥ 0
y ≥ 0
2x + y ≤ 10 vertex 1 : when x=0 then y=10 (0,10)
3x + 2y ≤ 18 vertex 2 : y=0, then x=6 ( 6,0)
two equations together to determine vertex 3 :
3x+2y = 18
2x+y = 10
x=2, y= 6
The feasible region determined by the constraints is
shown. The three vertices are (0, 10), and (6, 0), (0,9)
and (2,6)
First evaluate C = 3x -2 y at each of the vertices.
At (0, 10): C = 3(0) - 2(10) = -17
At (6, 0): C = 3(6) - 2(0) = 18
At ( 2,6) : C = 3(2) -2(6) = -6
At (0,9) : C = 3(0)-2(9)= -18
the maximum value occur on 18 when x=9 and y=0
Given the objective function is [tex]C=3x-2y[/tex] and the contraints as follows:
[tex]x\geq 0\\ y\geq 0\\ 2x+y\leq 10\\ 3x+2y\leq 18[/tex]
Find the intersecting point of [tex]x=0[/tex] and [tex]2x+y=10[/tex].Substitute 0 for [tex]x[/tex] in [tex]2x+y=10[/tex].
[tex]2(0)+y=10\\ y=10[/tex]
So, the intersecting point is [tex](0,10)[/tex].
Find the intersecting point of [tex]y=0[/tex] and [tex]2x+y=10[/tex].Substitute 0 for [tex]y[/tex] in [tex]2x+y=10[/tex].
[tex]2x+0=10\\ 2x=10\\ x=5[/tex]
So, the intersecting point is [tex](5,0)[/tex].
Find the intersecting point of [tex]x=0[/tex] and [tex]3x+2y=18[/tex].Substitute 0 for [tex]x[/tex] in [tex]3x+2y=18[/tex].
[tex]3(0)+2y=18\\ 2y=18\\ y=9[/tex]
So, the intersecting point is [tex](0,9)[/tex].
Find the intersecting point of [tex]y=0[/tex] and [tex]3x+2y=18[/tex].Substitute 0 for [tex]y[/tex] in [tex]3x+2y=18[/tex].
[tex]3x+2(0)=18\\ 3x=18\\ x=6[/tex]
So, the intersecting point is [tex](6,0)[/tex].
Find the intesecting point of [tex]2x+y=10,3x+2y=18[/tex].Add [tex]-2[/tex] times [tex]2x+y=10[/tex] to [tex]3x+2y=18[/tex].
[tex]-2(2x+y)+3x+2y=-2(10)+18\\ -4x-2y+3x+2y=-20+18\\ -x=-2\\ x=2[/tex]
Substitute [tex]x=2[/tex] in [tex]2x+y=10[/tex]:
[tex]2(2)+y=10\\ 4+y=10\\y=6[/tex]
So, the intersecting point is [tex](2,6)[/tex].
The origin [tex](0,0)[/tex] is also a intersecting point of [tex]x\geq 0,y\geq 0[/tex].Corner points:
The corner points are the boundary points of the bounded region of the given constraints.
The bounded region of the given constraints is shown below.
From the graph notice that the shaded region is the required bounded region of the given constraints.The boundary points are [tex](0,0),(5,0),(0,9),(2,6)[/tex].Evaluate the objective function [tex]C=3x-2y[/tex]at these boundary points:
At [tex](0,0)[/tex]:
[tex]C=3(0)-2(0)\\C=0[/tex]
At [tex](5,0)[/tex]:
[tex]C=3(5)-2(0)\\C=15[/tex]
At[tex](0,9)[/tex]:
[tex]C=3(0)-2(9)\\C=-18[/tex]
At[tex](2,6)[/tex]:
[tex]C=3(2)-2(6)\\C=6-12\\C=-6[/tex]
From the above calculated values, one can notice that the maximum value of [tex]C[/tex] is 15 and it is obtained at [tex](5,0)[/tex].
Hence, the maximum value of [tex]C[/tex] is 15 occurs at the corner point [tex](5,0)[/tex].
Lear more about the maximizing problems here: https://brainly.com/question/13112754
WILL GIVE BRAINLIEST AND 30 POINTS! Peter calculated |5 + 13i| by finding Where was Petey’s mistake? He should not have used the Pythagorean theorem. He should have used 13 instead of 13i. (13i)2 = 169, not –169.
Answer: He should have used 13 instead of 13i
Step-by-step explanation:
Answer:
He should have used 13 instead of 13i
Step-by-step explanation:
