Answer:
x = 7
y = 16
upper 2 sides = 12
lower 2 sides = 19
Step-by-step explanation:
2x + 5 = x + 12
combine like terms:
x = 7
y - 4 = x + 5
y - 4 = 7 + 5
combine like terms:
y = 16
Upper sides = 7 + 5 = 12
Lower sides = 7 + 12 = 19
How many significant figures are in the number
43.6? 43.6 has [?] significant figures.
Answer:
43.6 has 3 significant figures.
Which symbol correctly compares the mixed numbers?
O A. =
OB. None of these are correct.
O C. >
OD.
The symbol correctly compares the mixed numbers is less than ( < ).
option D is the correct answer.
What is the simplification of the mixed fractions?Simplification of an algebraic expression can be defined as the process of writing an expression in the most efficient and compact form without affecting the value of the original expression.
The given mixed fractions expression;
7 ¹/₅ ? 8 ¹/₉
We can simplify the expression by converting it into improper fraction the as follows;
7 ¹/₅ = 36/5 = 7.2
8 ¹/₉ = 73/9 = 8.11
Simplifying the expression above, we will have;
7.2 - 8.11 = - 0.91
So the mixed fraction 7 ¹/₅ is less than the mixed fraction 8 ¹/₉.
7 ¹/₅ < 8 ¹/₉
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find the slope between (2,3) and (8,-5)
The slope of the line will be equal to -4/3.
What is a slope?Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line. The slope is also defined as the ratio of the rise to the run.
Given that the two points are (2,3) and (8,-5). The slope of the line will be calculated as,
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Slope = ( -5 - 3 ) / ( 8 - 2 )
Slope = -8 / 6
Slope = -4 / 3
Therefore, the slope of the line will be equal to -4/3.
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Write an equation of the line using function notation.
Slope 0; through (−3,−2)
The equation of the line is f(x)=
The equation of the line having slope 0 and passing through (-3,-2) is f(x) = -2.
Any horizontal line has the same y-value for every point on the line. We are given that the line passes through the point (-3,-2). This means that f(-3) = -2, since the y-value of the point (-3,-2) corresponds to the value of the function at x = -3.
This is because no matter what x-value we plug into the function, the output (y-value) will always be -2. Therefore, the equation of the line in function notation is f(x) = -2.
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Judith's 4th grade class has a spelling list organized by subject. The spelling list includes 120 words about history, 115 words about science, 70 words about math, and 45 words about geography. Each week, Judith's teacher tests her on 15 words from the list. Judith's class has already had 6 weeks of spelling tests. How many more words will Judith be tested on before the end of the year?
The chart below shows the highest quiz score Cynthia received in four of her classes. In which class did she have the highest score?!
Answer:
English.
Step-by-step explanation:
English: 13/14 = 93%-94% (0.928...) Rounding up.
Science: 93%
Math: 92%-93%
History: 93%
what is an expression equivalent to 5 1/4d - 5?
Answer:
Step-by-step explanation:
23
what is 99+44+44+44+$4+44+$4+44+44+44 = and my zodiac is pisces what about your guys zodiac
Answer:
415
Step-by-step explanation:
Mine is Capricorn
Answer:
I'm a September Libra
Ruben decides to leave a 24% tip after eating dinner at Sun Bistro. If the bill is $23.35, how much should he pay? Round to the nearest cent.
Answer:
$3.50
Step-by-step explanation:
Which expression is equivalent to 7sqrtx^2/5sqrty^3? Assume y does not equal 0
Answer:
Option A) \(\bf{ x^{\frac{2}{7}}*y^{-\frac{3}{5}}}\)
Step-by-step explanation:
we have
\(\sf{\dfrac{\sqrt[7]{x^{2}}}{\sqrt[5]{y^{3}}}}\)
we know that
\(\sf{\sqrt[7]{x^{2}}=x^{\frac{2}{7}}}\)
\(\sf{\sqrt[5]{y^{3}}=y^{\frac{3}{5}}}\)
substitute in the expression
\(\sf{\dfrac{x^{\frac{2}{7}}}{y^{\frac{3}{5}}}=x^{\frac{2}{7}}*y^{-\frac{3}{5}}}\)
Will someone help me with this basic geometry?
The value of x in the right angle placed is equal to 16
Right AnglesA right angle is an angle that measures 90 degrees. It is the most commonly seen angle in our day-to-day life. It can be seen in the corners of a room, the edges of boxes, the screen of a mobile phone, and so on. The sides of a square and a rectangle always form a right angle with each other. In radians, it is represented as π/2. Let us discuss more about a right angle in this article.
A right angle is an angle of 90°. When two rays intersect and form a 90˚ angle or are perpendicular to each other at the intersection, they are said to form a right angle.
In the given question, we can set an equation and find the value of x
90 = 26 + 4x
Lets solve for x
4x = 90 -26
4x = 64
x = 16
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a pyramid has a height of 5 inches and a volume of 60 cubic inches ?
Answer:
36 square inches.
Step-by-step explanation:
volume is given by 1 by 3, into base into height is based. His height and volume and area of the base is given by area of the ashe area of the base is given by 3 into 60 by 5. As given in the question on solving it, we get it equals to 36 square inches.
what is equation, slope and y intercept for this graph please? need asap please
Answer:
Equation: y = -4x + 1
Slope: -4
Y-intercept: y = 1
Step-by-step explanation:
To find the equation of the line you need the gradient and the y-intercept
To find the gradient we need to divide the change in y by the change in x:
4 ÷ 1 = 4As the graph has a negative correlation the gradient would have a minus which is why it would be -4!
To find the y-intercept we need to find the number on the y-axis that the line crosses which in this case would be y = 1!!
Hope this helps, have a great day!!
Answer:
equation:y=4x+1
y-intercept:1
slope:4/1 or 4
Step-by-step explanation
the equation has to be in slope intercept form which is \(y=mx+b\) where m is the slope and b is the y-intercept. the y-intercept is when x is 0 in this case when x is 0 y is 1 (0,1) so the y-intercept is 1. the slope is rise/run so pick two points that cross the grid perfectly and count the units rise and run. this line rises 4 and runs 1 so the slope is 4/1 so 4 hence the equation \(y=4x+1\)
Write an equation.
A line that has a slope of 4 and goes through the point (3,7).
Answer:
y=4x+c now put (-3,7) into the equation to find the y intercept. 7=4×−3+c. 7=−12+c. c=19.
Step-by-step explanation:
y=mx++c is the general equation with m as the slope.
A ball is thrown into the air. The function h(x) = -16x2 + 64x + 8 models the height, in feet above ground, of the ball after x seconds.
What was the height of the ball at the time it was thrown?
How many seconds after being thrown did the ball reach its maximum height?
Answer:
At the time the ball was thrown, it was 8 feet above the ground.
h'(x) = -32x + 64 = 0, so x = 2
The ball reaches its maximum height after 2 seconds.
17. Find the circumference given
KL 4.6 in. Round to the nearest
tenth.
The circumference of the given circle is approximately 47.3 inches.
Since the length of the arc KL and the measure of the central angle ∠KOL are known, we can use the formula for arc length to find the circumference of the circle:
arc length = (central angle / 360°) x circumference
Plugging in the known values, we have:
4.6 in = (35° / 360°) x circumference
Solving for the circumference, we get:
circumference = 4.6 in / (35° / 360°)
circumference = 4.6 in x (360° / 35°)
circumference ≈ 47.3 in (rounded to the nearest tenth)
Therefore, the circumference of the circle is approximately 47.3 inches.
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Simplify this expression. (3c^5)^-6
We need to simplify the expression,
\((3c^5)^{-6}\)We are going to use the following exponent rule,
\(\begin{gathered} (a^xb^y)^z \\ =a^{xz}b^{yz} \end{gathered}\)Let's simplify the expression with the rule shown above,
\(\begin{gathered} (3c^5)^{-6} \\ =3^{-6}(c^5)^{-6} \\ =3^{-6}c^{-30} \end{gathered}\)We like to keep all exponents positive so we will use the following rule,
\(a^{-x}=\frac{1}{a^x}\)So, the simplified form becomes:
\(\begin{gathered} \frac{1}{3^6}\cdot\frac{1}{c^{30}} \\ =\frac{1}{729c^{30}} \end{gathered}\)Answer\(\frac{1}{729c^{30}}\)The unit cost, in dollars, to produce bins of cat food is $4 and the fixed cost is $18424. The revenue function, in dollars, is R(x)=−2x^2+478x
Find the cost function.
C(x)=
Find the profit function.
P(x)=
At what quantity is the smallest break-even point?
Answer:
49
Step-by-step explanation:
The cost function is the sum of the costs as a function of the number of bins made.
C(x) = 4x + 18424
The profit function is the difference between the revenue and the cost functions.
P(x) = R(x) - C(x)
P(x) = -2x^2 + 478x - (4x + 18424)
P(x) = -2x^2 + 474x - 18424
The smallest break-even point is the smallest value of x at which profit is zero. Zero profit means there is no gain and no loss.
P(x) = -2x^2 + 474x - 18424 = 0
x^2 - 237x + 9212 = 0
9212 = 2^2 * 7^2 * 47
(x - 188)(x - 49) = 0
x - 188 = 0 or x - 49 = 0
x = 188 or x = 49
Answer: 49
The cost function is C(x) = 4x + 18424.
The profit function is P(x) = -2x² + 474x - 18424
The quantity at which there is the smallest break-even point is 49.
What is the cost function?The cost function is the sum of the costs as a function of the number of bins made.
C(x) = 4x + 18424
The profit function is the difference between the revenue and the cost functions.
P(x) = R(x) - C(x)
P(x) = -2x² + 478x - (4x + 18424)
P(x) = -2x² + 474x - 18424
The smallest break-even point is the smallest value of x at which profit is zero. Zero profit means there is no gain and no loss.
P(x) = -2x² + 474x - 18424 = 0
x² - 237x + 9212 = 0
9212 = 2²(7²) 47
(x - 188)(x - 49) = 0
x - 188 = 0 or x - 49 = 0
x = 188 or x = 49
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pls answer this question about math
Answer:
AB, AC, AD, BC, BD, CD
Hope this helps :)
Answer:
five line segment =AB,AC,AD,BC,BD,CD
Explain why the distribution of X can be modeled by the binomial distribution. b. Find the probability that you win exactly 1 bid. c. Find the probability that you win 1 bid or fewer. d. Find the probability that you win more than 1 bid.
Answer:
a) Options E, F, G and H are all correct.
The distribution of X can be modelled by a binomial distribution because
E. The trials are independent.
F.There are a fixed number of bids.
G. There is the same probability of success for each trial (bid).
H. The data are binary (you either win the bid or not, that is, success or failure).
b) The probability of winning exactly 1 bid = 0.4410
c) The probability that you win 1 bid or fewer = 0.7840
d) The probability that you win more than 1 bid = 0.2160
Step-by-step explanation:
Complete Question
You are bidding on three items available on an online shopping site. You think that for each bid you have a 30% chance of winning it, and the outcomes of the three bids are independent events. Let X denote the number of winning bids out of the three items you bid on.
a. Explain why the distribution of X can be modeled by the binomial distribution.
A. The trials are dependent.
B. The data are not binary.
C. Probabilities of success for trials (bids) differ for each trial
D. The number of bids varies.
E. The trials are independent
F.There are a fixed number of bids.
G. There is the same probability of success for each trial (bid)
H. The data are binary
b. The probability of winning exactly 1 bid is (Round to four decimal places as needed.)
c. Find the probability that you win 1 bid or fewer.
d. Find the probability that you win more than 1 bid.
Solution
a) A binomial experiment is one in which the probability of success doesn't change with every run or number of trials.
It usually consists of a fixed number of runs/trials with only two possible outcomes, a success or a failure. The outcome of each trial/run of a binomial experiment is independent of one another.
Hence, the correct options are
E. The trials are independent.
F.There are a fixed number of bids.
G. There is the same probability of success for each trial (bid).
H. The data are binary (you either win the bid or not, that is, success or failure).
b) Binomial distribution function is represented by
P(X = x) = ⁿCₓ pˣ qⁿ⁻ˣ
n = total number of sample spaces = total number of bids available = 3
x = Number of successes required = winning exactly 1
p = probability of success = probability of winning a bid = 30% = 0.30
q = probability of failure = probability of NOT winning a bid = 1 - p = 1 - 0.30 = 0.70
P(X = 1) = ³C₁ (0.3)¹ (0.7)³⁻¹ = 0.4410 to 4 d.p.
c) The probability that you win 1 bid or fewer.
n = total number of sample spaces = total number of bids available = 3
x = Number of successes required = winning 1 or fewer bid = ≤ 1 = 0, 1
p = probability of success = probability of winning a bid = 30% = 0.30
q = probability of failure = probability of NOT winning a bid = 1 - p = 1 - 0.30 = 0.70
P(X ≤ 1) = P(X = 0) + P(X = 1)
P(X = 0) = ³C₀ (0.3)⁰ (0.7)³⁻⁰ = 0.343
P(X = 1) = 0.441 (as calculated in (b) above)
P(X ≤ 1) = 0.343 + 0.441 = 0.784
d) Probability that you win more than 1 bid
n = total number of sample spaces = total number of bids available = 3
x = Number of successes required = winning more than 1 bid = >1 = 2, 3
p = probability of success = probability of winning a bid = 30% = 0.30
q = probability of failure = probability of NOT winning a bid = 1 - p = 1 - 0.30 = 0.70
P(X > 1) = P(X = 2) + P(X = 3)
P(X = 2) = ³C₂ (0.3)² (0.7)³⁻² = 0.189
P(X = 3) = ³C₃ (0.3)³ (0.7)³⁻³ = 0.027
P(X > 1) = 0.189 + 0.027 = 0.2160
Hope this Helps!!!
Closing: What Is the Value of Each Number, and Which Is Larger? Use your teacher’s verbal clues and this number line to determine which number is larger. −8 −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 7
The value of a number in the number line is always positive thus, the value of -8 will be 8 and it will be the largest among all.
What is a number line?In mathematics, a number line is a straight line containing numbers arranged at equal segments or periods throughout its duration.
In another word, a number line is basically a line in which infinite numbers have been written in ascending order or increasing order.
As per the given numbers in the number line has been drawn below,
The value of a number in the number line is the absolute value without considering the sign.
For example value of -2 is the distance from zero to -2 so it will be 2.
The largest value is 8 among all numbers.
Hence "The value of a number in the number line is always positive thus, the value of -8 will be 8 and it will be the largest among all".
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100 points!!!
Using the image, answer these questions.
1: If m angle Q = 94 degrees, m angle R = 42 degrees, m angle T = 71 degrees, and m angle s = 153 degrees, find m angle W and m angle P
2: What is the scale factor from PQRS to TUVW?
Select the correct response:
7/5
4/7
7/4
5/7
3: Find x
The sum of the measures of the angles in a triangle is 180 degrees, so we have the equation:
m angle Q + m angle R + m angle T = 180
94 + 42 + 71 = 207
The sum of the measures of the angles in the triangle is greater than 180 degrees, so this is not a valid triangle.
Without further information, it is not possible to determine the scale factor from PQRS to TUVW. A scale factor refers to the ratio of corresponding side lengths between two similar figures. In order to find the scale factor, you would need to know the lengths of corresponding sides in the two figures.
can't find x rn
Quadratic polynomial which has zeros at 7 and 3?
Answer:
x^2 - 10x + 21
Step-by-step explanation:
Sum of zeros
= 7 + 3
= 10
Product of zeros
= 7 x 3
= 21
x^2 - ( sum of zeros )x + product of zeros
= x^2 - 10x + 21
The Quadratic polynomial is x^2 - 10x + 21.
if the zeroes of a quadratic polynomial are a and b, then the polynomial can be written as :
\( \boxed{{x}^{2} - (a + b)x + ab}\)
So,
\( \hookrightarrow \: {x}^{2} - (7 + 3)x + (7 \times 3)\)
\(\hookrightarrow \: {x}^{2} - 10x + 21\)
Evaluate the following algebraic expression at x=4, y=−3 and simplify your answer. −x−5y−1]
Simplify (4x5y³)(-3x³y²).
O-12x85
Ox³y5
O-12x³y6
O-12x¹5,6
Answer:
-12x⁸y⁵
Step-by-step explanation:
Exponent law:
xᵃ * xᵇ = xᵃ ⁺ ᵇ
In exponent multiplication, if bases are same, add the exponents.
Multiply the co-efficient.Multiply the variable using the exponent law.(4x⁵y³) (-3x³y²) = 4*(-3) * x⁵⁺³ * y³⁺²
= -12x⁸y⁵
help please will mark brainliest only if correct
Answer:
33 units³
Step-by-step explanation:
Volume of a rectangular prism
\(\sf Volume = Area\:of\:base \times height\)
From inspection of the given diagram:
Area of base = 9 units²Height = 3 ²/₃ unitsSubstitute the given values into the formula and solve for volume:
\(\begin{aligned}\sf \implies Volume & = \sf 9 \times 3 \dfrac{2}{3}\\\\& = \sf 9 \times \dfrac{3 \times 3+2}{3}\\\\& = \sf 9 \times \dfrac{11}{3}\\\\& = \sf \dfrac{9 \times 11}{3}\\\\& = \sf \dfrac{99}{3}\\\\& = \sf \dfrac{33 \times \diagup\!\!\!\!3}{\diagup\!\!\!\!3}\\\\& = \sf 33\:units^3 \end{aligned}\)
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\(\boxed{\sf Volume=Area\:of\:base\times Height}\)
\(\\ \tt\dashrightarrow Volume=9\times3 \dfrac{2}{3}\)
\(\\ \tt\dashrightarrow Volume=9\times \dfrac{11}{3}\)
\(\\ \tt\dashrightarrow Volume=3(11)\)
\(\\ \tt\dashrightarrow Volume=33units³\)
Which action is due to field forces?
Answer:
A field force is a force that acts equally on all the items in it. For example, the force you exert on the chair when you push it acts only on the chair - not on the table, other chairs, etc. around it. whereas a force like gravity acts equally on everything - on the apple, on the leaves, on the other apples in the tree, etc.hope this helps!!!
Step-by-step explanation:
Which statement is true about the function f(x) = 6x7?
The function is even because f(–x) = f(x).
The function is odd because f(–x) = –f(x).
The function is odd because f(–x) = f(x).
The function is even because f(–x) = –f(x).
Answer: The function is odd because f(–x) = –f(x).
Step-by-step explanation:
\(f(x)=6x^7\\\\f(-x)=6(-x)^7 = -6x^7\\\\\therefore f(x)=-f(-x)\)
The function is odd because f(–x) = –f(x).
How to determine the true statement?The function is given as:
f(x) = 6x^7
A function is odd if the following is true
f(-x) = -f(x)
Calculate f(-x)
f(-x) = 6(-x)^7
f(-x) = -6x^7
Calculate -f(x)
-f(x) = -6x^7
By comparison;
f(-x) = -f(x) = -6x^7
Hence, the function is odd because f(–x) = –f(x).
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In an examination a candidate scored 5 marks for a correct answer, -2 for an incorrect answer and 0 marks for a question that has not been attempted. The examination comprises 20 questions. Ananya has answered 12 correct answer and 5 incorrect answers . Find her total score.
Answer:
Ananya's total score was 50 marks.
Step-by-step explanation:
Given that in an examination a candidate scored 5 marks for a correct answer, -2 for an incorrect answer and 0 marks for a question that has not been attempted, and the examination comprises 20 questions, and Ananya has answered 12 correct answer and 5 incorrect answers, to find her total score the following calculation must be performed:
(12 x 5) + ((20 -12 - 5) x 0) + (5 x -2) = X
60 + (3 x 0) + (-10) = X
60 + 0 - 10 = X
50 = X
Therefore, Ananya's total score was 50 marks.
If f(x) = (2x3 − 4)6, then what is f '(x)? (4 points)
Answer:
\(f'(x)=36x^2(2x^3-4)^5\)
Step-by-step explanation:
The Chain Rule for Derivatives
Given a function y=f(u) and u=g(x), the derivative dy/dx is computed by using the chain rule:
\(y'=f'(u).u'(x)\)
We have:
\(f(x)=(2x^3-4)^6\)
It can be written as:
\(f(x)=u^6\)
Where:
\(u=2x^3-4\)
Thus:
\(f'(x)=(u^6)'(2x^3-4)'\)
\(f'(x)=6u^5(6x^2)\)
Changing back u:
\(f'(x)=6(2x^3-4)^5(6x^2)\)
Operating:
\(\mathbf{f'(x)=36x^2(2x^3-4)^5}\)