Answer:
x = 80
Step-by-step explanation:
750 - 70 = 680
680 / 8.5 = x
plzz help with this math due today
Answer:
20x⁴ - 13x³+ 8x² - x + 6
Step-by-step explanation:
Multiplyin gbthebtop trinomial by the last term. Of the bottom trinomial.
___4x² - 5x + 3
___5x² + 3x + 2
* ____________
_________8x² - 10x + 6
______12x³-15x²+9x
_20x⁴-25x³+15x²
____________________
20x⁴ - 13x³+ 8x² - x + 6
___________________
The mean mass of five men is 76 kg. The masses of four of the men are 72 kg, 74 kg, 75 kg and 81 kg. What is the mass of the fifth man
Answer:
78kg
Step-by-step explanation:
76×5= 380kg
380-72-74-75-81= 78kg
Represent the following sentence as an algebraic expression, where "a number" is the letter x. \text{a number raised to the third power.} a number raised to the third power.
Answer: #x^3
Step-by-step explanation:
"A number " is represented by the letter xA number (x) raised (^) the third power will be,x^3
note: An algebraic expression doesn't have an equal sign (=)
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what type of slope does a horizontal line have
Answer:
It has a slope of 0
Step-by-step explanation:
Answer:
a slope of zero
Step-by-step explanation:
a vertical line has an undefined slope, a horizontal line has a slope of zero
Leticia is selling raffle tickets for her class fundraiser. Her class receives four-fifths of the money raised from selling the raffle tickets. Prior to the selling of raffle tickets, her class fund had a balance of $200.00.
Which function can be used to find m, the amount of money in Leticia's class fund, based on t, the amount of money Leticia has made from selling raffle tickets?
The function for the given situation is m=200+0.8t.
Given that, Leticia is selling raffle tickets for her class fundraiser. Her class receives four-fifths of the money raised from selling the raffle tickets.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
Here, the amount of money in Leticia's class fund=m and the amount of money Leticia has made from selling raffle tickets is t
Now, the function is
m=200+4/5 t
⇒m=200+0.8t
Therefore, the function for the given situation is m=200+0.8t.
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question if x, y, and z are integers and xy z is an odd integer, is x an even integer? (1) xy xz is an even integer. (2) y xz is an odd integer.
xy + xz is an even integer & x is even and y + xz is an odd integer & either (x-1) is even or (y-z) is even .
1. xy + xz is an even integer - SUFFICIENT
Given:
xy + z is odd ...(i)
xy + xz is even ...(ii)
subtracting (ii) from (i)
we get xz - z, which should be odd (* since odd - even = odd)
=> z(x-1) is odd
=> both z and (x-1) is odd
=> since (x-1) is odd, x must be even.
2. y + xz is an odd integer -INSUFFICIENT
Given:
xy + z is odd ...(i)
y + xz is odd ...(ii)
subtracting (ii) from (i)
we get xy + z - y - xz
= (x-1)(y-z) , which should be even
=> either (x-1) is even or (y-z) is even ....insufficient to determine
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Find the median of the set:
12.5, 12, 12.36, 14, 11.9
Answer:
16 and a half
Step-by-step explanation:
it should be 16 and a half sense median is middle
Convert 190 centimeters into yards.
Round your answer to the nearest
hundredth.
Answer: 190 cm = 2.07787 yards, rounded to the nearest hundredth, 2.08 yards.
Step-by-step explanation:
divide 190 cm by 91.44 to get your answer.
A
If m ZABD = 75° and m/ABC = 40°,
then mZCBD = [?]°
We see BC is in the middle of the lines AB and BD, therefore mABC + mCBD = mABD.
We're given mABD = 75, mABC = 40.
Therefore, mCBD = mABD - mABC = 75 - 40 = 35.
Answer:
∠CBD = 35°
Step-by-step explanation:
We are told in the question that m∠ABD = 75° and m∠ABC = 40°. We are then asked what the value of m∠CBD is.
As we can see from the diagram, ∠ABD is made up of the angles ABC and CBD. Therefore:
∠ABD = ∠ABC + ∠CBD
⇒ 75° = 40° + ∠CBD
⇒ 75° - 40° = 40° + ∠CBD - 40° [
⇒ 35° = ∠CBD
∴ ∠CBD = 35°
Ciara measured the length, x, of each of the insects she found underneath a rock. She recorded the lengths in the table below. Calculate an estimate of the mean length of the insects she found. Give your answer in millimetres (mm). Length (mm) 0≤x≤10 10≤x≤20 20≤x≤30 Frequency 5 6 9
The estimate of the mean length of the insects Ciara found is 17 millimeters (mm).
To calculate an estimate of the mean length of the insects Ciara found, we need to find the weighted average of the lengths using the given frequencies.
Let's denote the lower limits of the length intervals as L1 = 0, L2 = 10, and L3 = 20.
Similarly, denote the upper limits as U1 = 10, U2 = 20, and U3 = 30.
Next, we calculate the midpoints of each interval by taking the average of the lower and upper limits.
The midpoints are M1 = (L1 + U1) / 2 = 5, M2 = (L2 + U2) / 2 = 15, and M3 = (L3 + U3) / 2 = 25.
Now, we can calculate the sum of the products of the frequencies and the corresponding midpoints.
This gives us (5 \(\times\) 5) + (6 \(\times\) 15) + (9 \(\times\) 25) = 25 + 90 + 225 = 340.
Next, we calculate the sum of the frequencies, which is 5 + 6 + 9 = 20.
Finally, we divide the sum of the products by the sum of the frequencies to find the weighted average, which is 340 / 20 = 17.
Therefore, the estimate of the mean length of the insects Ciara found is 17 millimeters (mm).
Thus, the mean length of the insects Ciara found is approximately 17 millimeters (mm).
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Please help brainiest
Write an equation in slope intercept form of the line that passes through the points.
(-1,3), (0,4)
Answer:
slope: 1
y-intercept: (0, 4)
Step-by-step explanation:
You're making dessert but your recipe needs adjustment. Your chocolate chip cookie recipe makes 4 dozen cookies, but you need 3
1
dozen cookies. If the recipe requires 15 cups of butter, 5 teaspoons of baking powder, and 2 cups of pecans, how much of each of
these ingredients are necessary for 3 dozen cookies? Simplify your answer
Answer:
Butter = (3*15) / 4 = 45/4 = 11 1/4 tsp
Baking powder = (3*5) / 4 = 15/4
= 3 3/4 tsp
Pecans = (3 * 2) / 4 = 6/4
= 3/2 = 1.5 cups
Here, we are required to determine how much of each of these ingredients are necessary for 3 dozen cookies
The ingredients are;
11 and 1 quarter cups of butter is needed.3 and 3 quarters teaspoons of baking powder are needed.1 and a half cups of peacans are needed.Therefore, for 3 dozen cookies; 3 quarters of the requirements for 4 dozen cookies;
Cups of butter needed = (3/4) × 15 = 11.25Teaspoons of baking powder needed = (3/4)× 5 = 3.75Cups of peacans needed = (3/4)× 2 = 1.5Ultimately,
11 and 1 quarter cups of butter is needed.3 and 3 quarters teaspoons of baking powder are needed.1 and a half cups of peacans are needed.Read more:
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X
-3
-1
1
3
f(x) = -x + 7
f(x)
8
2323
20
6
Determine the input that would give an output value of
W/N!
2
X=
=-3x+7
Answer: 19
Step-by-step explanation:
Multiplying both sides of the equation by \(-3\) gives that \(x=19\).
9. Mrs. Sorenstam bought one ruler, one compass, and one mechanical pencil at the prices shown in the table for each a. Suppose Mrs. Sorenstam had 36 cents left after buying the school supplies. Write an equation to find the amount of money Mrs. Sorenstam initially had to spend on each student. b. Describe a two-step process you could use to solve your equation. 5020 02/03 Due Price ($) Item 1.49 of her 12 students. compass 0.59 mechanical pencil 0.49 ruler Then solve the equation.
Let A be the total amount of money that Mrs. Sorenstam had before buying the school supplies. Let C be the unit price of the compass, M the unit price of the mechanical pencil and R the unit price of the ruler.
The total amount of money required for the school supplies of one student, is C+M+R. Since there are 12 students, the total amount of money required for school supplies is:
\(12(C+M+R)\)Since Mrs. Sorenstam had a total A of money and she bought the school supplies for 12 students, with 36 cents left after the transaction, then:
\(A-12(C+M+R)=0.36\)Since C=1.49, M=0.59 and R=0.49, then:
\(\begin{gathered} C+M+R=1.49+0.59+0.49 \\ =2.57 \end{gathered}\)Then, our equation is equivalent to:
\(A-12\times2.57=0.36\)which is the equation that we may write for the first part of the problem.
For the second part, one step is to multiply 12 times 2.57, and then add the result to both sides of the equation to solve for A:
1.- Multiply 12 times 2.57:
\(A-30.84=0.36\)2.- Add 30.84 to both sides of the equation:
\(\begin{gathered} A-30.84+30.84=0.36+30.84 \\ \Rightarrow A=31.2 \end{gathered}\)Mariah has $210.58 to spend at the mall. She goes into one of her favorite clothing stores and ends up spending $59.40 on three items. How much money does Mariah have left? (Show your work).
Answer:
151.18
Step-by-step explanation:
I can't really show my work on this, sorry.
Answer:
151.18
Step-by-step explanation:
210.58-59.40=151.18
This function models the height, f(x), in feet, of a ball x seconds after it is tossed into the air.
LaTeX: f\left(x\right)=-16x^2+48x+64
f
(
x
)
=
−
16
x
2
+
48
x
+
64
Which statement describes the ball 1.2 seconds after it is tossed into the air?
Group of answer choices
Answer:
Step-by-step explanation:
Given the height of the object covered by the ball modeled by the function;
h(x) = -16x^2 + 48x + 64
To determine the height covered by the ball after 1.2 secs, we will simply substitute x = 1.2s into the formula and find h(x) as shown;
h(1.2) = -16(1.2)^2 + 48(1.2) + 64
h(1.2) = -16(1.44) + 48(1.2) + 64
h(1.2) = -23.04 + 57.6 + 64
h(1.2) = 98.56m
This means that the ball have covered 98.56m in 1.2sseconds
Answer:
The Answer is D. 25ft
Step-by-step explanation:
Taking the quiz rn hope this helps:)
bir basamaklı en küçük pozitif tam sayı
Answer:
Step-by-step explanation:
jjjjjjjj
Patrick invested money into a special savers bank account each year money in the account earns 4% interest after one year, the total amount of money in the account was £291.20 how much did Patrick invest?
Answer: £280
Step-by-step explanation:
After a year, the total amount that was in the account was £291.20 which according to the question is 4% more than the amount Patrick invested.
Assume the amount invested is x.
x + 0.04x = 291.20
1.04x = 291.20
x = 291.20/1.04
= £280
SOMEONE PLEASE HELP ME
Answer:
27
Step-by-step explanation:
math
determine whether the function is one-to-one. if it is, find its inverse function. (if an answer does not exist, enter dne.) f(x) = ax b text(, )a != 0. f-1(x) = ____
The function f(x) = ax^b is not one-to-one if b is an even integer, and its inverse function does not exist in such cases. If b is an odd integer or any other real number, f(x) is one-to-one, and its inverse function is f^(-1)(x) = (x/a)^(1/b).
A function is considered one-to-one if each element in the domain is mapped to a unique element in the range. To determine if the function f(x) = ax^b is one-to-one, we need to analyze the exponent b.
If b is an even integer (b = 2, 4, 6, ...), the function is not one-to-one because raising a positive or negative number to an even power eliminates the sign. As a result, multiple values of x can yield the same value of f(x), violating the one-to-one property. In such cases, the inverse function f^(-1)(x) does not exist.
However, if b is an odd integer (b = 1, 3, 5, ...) or any other real number, the function f(x) = ax^b is one-to-one. In these cases, we can find the inverse function. To find f^(-1)(x), we can solve the equation x = ax^b for x in terms of f(x). Rearranging the equation, we get x = (f(x)/a)^(1/b), which gives us the inverse function f^(-1)(x) = (x/a)^(1/b).
Therefore, depending on the value of b, the function f(x) = ax^b may or may not be one-to-one, and its inverse function may or may not exist.
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A caterer charges a flat fee of $345 in addition
to $45 per person to serve food at a family
reunion.
Write an equation to represent the total cost of
hiring the caterer and the number of people
attending the family reunion?
Answer: y = 45x + 345
Step-by-step explanation:
So y is the total cost of hiring the caterer and the number of people attending the family reunion.x represents how many people attend. It is $45 per person, so it would be 45 times the number of people attending, or 45x.345 is the extra amount that is added on and must be paid.So...the equation is y = 45x + 345.Hope this helps!!! :)
Which of the following steps were applied to ABC obtain AA'B'C?
12
8
B
6
A
-6
-2
4
6
10
A. Shifted 4 units left and 3 units down
B. Shifted 4 units left and 2 units down
C. Shifted 3 units left and 3 units down
D. Shifted 3 units left and 2 units down
Will give brainliest pls help!!!
Answer: B
Step-by-step explanation:
The transformation that took place to form A'B'C' is Shifted 4 units left and 2 units down.
What is transformation?A transformation is a process that manipulates a polygon or other two-dimensional object on a plane or coordinate system.
Given that, a triangle ABC has undergone a transformation to form A'B'C' we need to identify the steps of transformation
So, considering the point B and B', we see, that, x-coordinate of B is at 5 and that of B' is at 1, that mean there is a shift of 4 units left,
Now, consider the y-coordinate, we see, that B is at 9 and B' is at 7 that gives a downward shifting of 2 units.
Hence, the transformation that took place to form A'B'C' is Shifted 4 units left and 2 units down.
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A test has 19 questions worth a total 100 points. There are ten-point questions and four-point questions. How many of each type of question are there?
Answer: 4 ten-point questions and 15 four-point questions
Step-by-step explanation:
We will set up a system of equations to help us solve this question. Let x be ten-point questions and y be four-point questions.
A test has 19 questions;
x + y = 19
... worth a total 100 points;
10x + 4y = 100
Now, we will solve by graphing. See attached. The point of intersection is our solution, where the lines cross each other.
(4, 15), 4 ten-point questions and 15 four-point questions.
HELP WILL MARK YOU BRAINLIEST NO GUESSES PLZ!!!!
Answer:
I believe the answer is the first one A
Step-by-step explanation:
If you do this will construct the perpendicular bisector for AB.
Answer:
iT IS A
Step-by-step explanation:
The distance between the points (a, b) and (c, d) is _____. So the distance between (4, 3) and (8, 6) is _____.
a. √((c - a)^2 + (d - b)^2); 5
b. √((c + a)^2 + (d + b)^2); 7
c. √((c - a)^2 - (d - b)^2); 9
d. √((c + a)^2 - (d + b)^2); 2
The distance between two points on a plane is calculated by finding the length of the straight line between them. The formula used to find the distance between two points (a,b) and (c,d) is given below:Distance = √((c - a)^2 + (d - b)^2)Hence,
the distance between the points (4, 3) and (8, 6) is calculated below:Distance = √((8 - 4)^2 + (6 - 3)^2) = √(4^2 + 3^2) = √(16 + 9) = √25 = 5Therefore, the correct answer is option A, i.e. √((c - a)^2 + (d - b)^2); 5.
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The center of an ellipse is (-4,0) one vertex is (-8,0) and one co-vertex is (-4,1). Write the equation of the ellipse
Answer:
The equation of the ellipse is;
\(\dfrac{(x + 4)^2}{4^2} + \dfrac{(y - 0)^2}{1^2} = 1\)
Step-by-step explanation:
The parameters of the ellipse are;
The location of the center of the ellipse = (-4 0)
The coordinates of the vertex of the ellipse = (-8, 0)
The coordinates of the the co-vertex = (-4, 1)
The general form of the equation of an ellipse is presented as follows;
\(\dfrac{(x - h)^2}{a^2} + \dfrac{(y - k)^2}{b^2} = 1\)
The center of the above equation of an ellipse = (h, k)
The vertex of the above equation are; (h - a, k) and (h + a, k)
The co vertex of the above equation are; (h, k - b) and (h, k + b)
By comparison, we have;
h = -4, k = 0
For the vertex, we have;
When
h - a = -8
∴ -4 - a = -8
-a = -8 + 4 = -4
a = 4
When
h + a = -8
-4 + a = -8
∴ a = -4
a = 4 or -4
We note that a² = 4² = (-4)²
For the covertex, we have;
When
k - b = 1
0 - b = 1
b = -1
When k + b = 1
0 + b = 1
b = 1
∴ b = 1 or -1
b² = 1² = (-1)²
We can therefore write the equation of the ellipse as follows;
\(\dfrac{(x - (-4))^2}{4^2} + \dfrac{(y - 0)^2}{1^2} = \dfrac{(x + 4)^2}{4^2} + \dfrac{(y - 0)^2}{1^2} = 1\)
Therefore;
\(\dfrac{(x + 4)^2}{4^2} + \dfrac{(y - 0)^2}{1^2} = 1\)
Consider the series.
1000+200+40+8+8/5
Does the series converge or diverge?
Select answers from the drop-down menus to correctly complete the statements.
The Given Series 1000+200+40+8+8/5 is Convergent.
What is Convergent and divergent Series?If a series converges to a value as its terms approach to infinity, it is said to be convergent. If a series does not converge to a value but instead keeps on increasing or dropping as the terms of the series tend to infinity, it is said to be divergent.
Given:
The series is given as 1000+200+40+8+8/5
The common ratio is
200/1000
= 1/5
Then,40/200
= 1/5
= 0.2
Now, As the common ratio is < 1 so the series is convergent.
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Ben measures the length of the street he lives on to be 80 000 cm. What is the street length in kilometres?
(1km 100 000 cm)
Answer:
.8Km
Step-by-step explanation:
There is exactly 100,000 CM in every KM, if someone such as Ben was to measure out 80,000, to convert to KM you'd take the given value and divide by the appropriate values.
80,000cm / 100,000cm = .8 KM
Given that f(x)=2x+1
a) find f(2)
b)find f^-1(x)
c)f^-1(7)
Answer:
a) \(f(2) = 5\), b) \(f^{-1} (x) = \frac{x-1}{2}\), c) \(f^{-1} (7) = 3\)
Step-by-step explanation:
a) We evaluate the function at \(x = 2\):
\(f(2) = 2\cdot (2) + 1\)
\(f(2) = 4+1\)
\(f(2) = 5\)
b) First, we determine the inverse of the function by algebraic means:
1) \(y = 2\cdot x + 1\) Given
2) \(y +(-1) = 2\cdot x + [1+(-1)]\) Compatibility with addition/Associative property
3) \(y + (-1) =2\cdot x\) Existence of additive inverse/Modulative property
4) \(2^{-1}\cdot [y+(-1)] = (2\cdot 2^{-1})\cdot x\) Compatibility with multiplication/Commutative and associative properties
5) \([y+(-1)]\cdot 2^{-1} = x\) Existence of multiplicative inverse/Modulative and commutative properties
6) \(x = [y+(-1)]\cdot 2^{-1}\) Symmetry property of equality
7) \(x = \frac{y-1}{2}\) Definitions of subtraction and division
8) \(f^{-1} (x) = \frac{x-1}{2}\) \(x = f_{-1} (x)\)/\(y = x\)/Result
c) Now we evaluate the expression obtained on b) at the given number:
\(f^{-1} (7) = \frac{7-1}{2}\)
\(f^{-1} (7) = 3\)
oscar is thinking of a number he says my number is between 200 and 220 it is divisible by 6 the sum of all the digits is 3 how to sole such a question
The answer is: Oscar's number is 210.
What is Sum?
In mathematics, the sum is the result of adding two or more numbers or quantities together. It is a basic arithmetic operation and is often denoted by the symbol "+".
To solve this question, we need to find a number that satisfies the following conditions:
The number is between 200 and 220.
The number is divisible by 6.
The sum of all the digits is 3.
Let's start by finding all the multiples of 6 that are between 200 and 220:
204 = 2 + 0 + 4 = 6
210 = 2 + 1 + 0 = 3
216 = 2 + 1 + 6 = 9
Out of these numbers, only 210 has a sum of digits that is equal to 3. Therefore, the number that Oscar is thinking of is 210.
To check that 210 is between 200 and 220, we can see that it is indeed between the two numbers:
200 < 210 < 220
And to check that 210 is divisible by 6, we can see that:
210 ÷ 6 = 35
Therefore, the answer is: Oscar's number is 210.
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