Answer:
\(26 \times21 \frac = 1 > 262 {2}^{2} {?}{?} \)
Marvin was buying soil for his flower garden. What would be the most reasonable amount of soil he would need to buy for a flower garden? A. 6 grams B. 60 liters C. 60 kilograms D. 6,000 kilograms
Answer:
60 liters
Step-by-step explanation:
Answer:
C. 60 kilograms
Step-by-step explanation:
The person above me is incorrect because liters is used on liquids
Hi please help on question using x as the input and output.
if answers correct I'll rate 5 star a a thanks and brainlies t 30PTS!
Here is a function machine.
Input times by+18= output
Lucas says that it's not possible to have same value for input and output. Show that our car is wrong..
Answer:
Step-by-step explanation:
Input Output
-2 -2 * 18 = -36
-1 -1 * 18 = -18
0 0 * 18 = 0
1 1 * 18 = 18
2 2 + 18 = 36
WE see that it is possible for the output to have the same value of the input from the third row (when the input is 0).
Step-by-step explanation:
To show that Lucas is incorrect and that there can indeed be a same value for input and output, we can solve the equation Input times by+18= output for x, where x is the input and output of the function machine.
Here's the step-by-step solution:
Start with the equation: Input times by+18= output
Replace "Input" and "output" with "x" since we're looking for the same value for both the input and the output. This gives us: x times by+18= x
Expand the left side of the equation by multiplying x by b: xb + 18 = x
Subtract x from both sides of the equation: xb + 18 - x = 0
Factor out x: x(b - 1) + 18 = 0
Solve for x by moving 18 to the other side of the equation: x = -18 / (b - 1)
This shows that there is indeed a solution for x where the input is equal to the output, provided that b is not equal to 1. When b is not equal to 1, we can choose x to be -18 / (b - 1), and the output will also be equal to this value.
what is the equation for the perpendicular bisector of the line segment whose endpoints are (-7, 2) and (-1,-6)
The equation of the perpendicular bisector of the line segment with endpoints (-7, 2) and (-1, -6) is y = (3/4)x + 1.
To find the equation of the perpendicular bisector of a line segment, we need to determine the midpoint of the line segment and the slope of the line segment. The perpendicular bisector will have a negative reciprocal slope compared to the line segment and will pass through the midpoint.
Given the endpoints (-7, 2) and (-1, -6), we can find the midpoint using the midpoint formula:
Midpoint = ((x1 + x2)/2, (y1 + y2)/2)
Midpoint = ((-7 + (-1))/2, (2 + (-6))/2)
= (-8/2, -4/2)
= (-4, -2)
The midpoint of the line segment is (-4, -2).
Next, we need to find the slope of the line segment using the slope formula:
Slope = (y2 - y1)/(x2 - x1)
Slope = (-6 - 2)/(-1 - (-7))
= (-6 - 2)/(-1 + 7)
= (-8)/(6)
= -4/3
The slope of the line segment is -4/3.
Since the perpendicular bisector has a negative reciprocal slope, the slope of the perpendicular bisector will be 3/4.
Now, we can use the midpoint (-4, -2) and the slope 3/4 in the point-slope form of a line to find the equation of the perpendicular bisector:
y - y1 = m(x - x1)
y - (-2) = (3/4)(x - (-4))
y + 2 = (3/4)(x + 4)
y + 2 = (3/4)x + 3
y = (3/4)x + 1.
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Jerry left a $5.55 tip on a meal that cost $37. What percent of the meal's cost was the tip? What was the total cost of the meal including the tip?
NO LINKS!! NOT A MULTIPLE CHOICE!!! Part 3
Answer:
Given:
9 red marbles8 blue marbles12 green marbles⇒ total marbles = 9 + 8 + 12 = 29
\(\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}\)
Part (a)\(\sf P(green)=\dfrac{12}{29}\)
Part (b)\(\sf P(red)=\dfrac{9}{29}\)
\(\sf P(green)=\dfrac{12}{29}\)
\(\implies \sf P(red)\:or\:P(green)=\dfrac{9}{29}+\dfrac{12}{29}=\dfrac{21}{29}\)
Part (c)\(\begin{aligned}\sf P(not\:red)&= \sf1-P(red)\\ & = \sf 1-\dfrac{9}{29}\\ & = \sf\dfrac{20}{29}\end{aligned}\)
Find the approximate area of the shaded region of the figure below.A. 489.44 cm squaredB. 181.72 cm squared C. 27.86 cm squaredD. 49.07 cm squared
To answer this question, we need to find the area of the rectangle with sides 14 cm and 9 cm, and, then, we need to subtract from this area, the area of the semicircle with radius = 7 cm (that is, 14 cm /2 = 7 cm).
Therefore, we have:
1. Find the area of the rectangle:
\(A=14\operatorname{cm}\cdot9\operatorname{cm}=126\operatorname{cm}^2\)2. Find the area of the semicircle:
The area of a circle is given by:
\(A=\pi\cdot r^2\)Therefore, for a semicircle, we have:
\(a=\frac{\pi\cdot r^2}{2}\Rightarrow a=\frac{\pi\cdot7^2}{2}\Rightarrow a=76.9690200129\operatorname{cm}^2\)Then, we need to subtract this value from the obtained in calculating the area of the rectangle:
\(126\operatorname{cm}-76.96902\operatorname{cm}=49.03098\operatorname{cm}^2\)From the question, the answer is option D, 49.07 cm squared.
A masonry contractor is preparing an estimate for building a stone wall and gate. He estimates that the job will take a
40-hour work week. He plans to have three laborers at $15 per hour and four masons at $25 per hour. He'll need $3268
worth of materials and wishes to make a profit of $700. Write a mathematical statement that will give the estimated cost of
the job. Then calculate this total.
Select the correct choice below and fill in the answer box to complete your choice.
Based on the number of hours in the work week, the cost of the laborers and masons, worth of the materials and the profit, the estimated cost of the job can be written as a mathematical statement of A. 3 x $15 x 40 + 4 x $25 x 40 + $3,268 + $700 = $
The total estimated cost is $9,768
What is the total estimated cost?The total estimated cost of the job can be found by the formula:
= (Number of laborers needed x Cost of laborers x Number of hours in work week) + (Number of masons x cost of masons x number of hours in work week) + materials worth + Required profit
The total estimated cost is therefore:
= (3 x $15 x 40) + (4 x $25 x 40) + $3,268 + $700
= 1,800 + 4,000 + 3,268 + 700
= $9,768
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Question: Hello: )✨A masonry contractor is preparing an estimate for building a stone wall and gate. He estimates that the job will take a
40-hour work week. He plans to have three laborers at $15 per hour and four masons at $25 per hour. He'll need $3268
worth of materials and wishes to make a profit of $700. Write a mathematical statement that will give the estimated cost of
the job. Then calculate this total.
Select the correct choice below and fill in the answer box to complete your choice.
Answer: Checked to see if this was right* Based on the number of hours in the work week, the cost of the laborers and masons, worth of the materials and the profit, the estimated cost of the job can be written as a mathematical statement of A. 3 x $15 x 40 + 4 x $25 x 40 + $3,268 + $700 = $
The total estimated cost is $9,768
What is the total estimated cost?
The total estimated cost of the job can be found by the formula:
= (Number of laborers needed x Cost of laborers x Number of hours in work week) + (Number of masons x cost of masons x number of hours in work week) + materials worth + Required profit
The total estimated cost is therefore:
= (3 x $15 x 40) + (4 x $25 x 40) + $3,268 + $700
= 1,800 + 4,000 + 3,268 + 700
= $9,768
Have an awesome day/night<3
you have a bill of $56.40.find a 20% tip?
Answer:
11.28
Step-by-step explanation:
Answer:
29
Step-by-step explanation:
Rewrite polynomial in standard form
The standard form of polynomial is x^2 + 9x - 1/10
To write the equation in standard form, look at the degree of highest term and then rewrite the equation in decreasing order of degree i.e. from highest to lowest.
The given polynomial is
⇒ x^2 + 9x - 1/10
The standard form of the polynomial is
⇒ x^2 + 9x - 1/10
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PLSSS HELP!! Ty whoever helped me! :) Question: Select the statement that is true about the two-dimensional figure.
A quadrilateral with the vertices labeled L, M, N and O. Angles M L O and L M N are greater than 90 degrees, and angles L O N and M N O are less than 90 degrees.
∠LMN is an acute angle.
∠LMN is an obtuse angle.
∠MNO is an obtuse angle.
∠MNO is a right angle.
∠LMN is an obtuse angle.
==========================================
Explanation
Let's go through the answer choices to see which are true, and which are false.
A. This is false. It is stated that "LMN is greater than 90 degrees", so this angle is obtuse. Acute angles are less than 90 degrees.B. This is true. See choice A above.C. This is false. We're told that "angle MNO is less than 90 degrees". That makes the angle acute. D. This is false. See choice C above. Right angles are 90 degrees exactly. Often a small square marker is used to denote a 90 degree angle.Provide the reasons for the following proof.
The figure shows triangle W X Y with a segment X Z drawn from vertex X to point Z on side W Y.
Given: Segment W X is congruent to Segment X Y and segment X Z bisects angle W X Y
Prove: triangle W X Z is congruent to triangle Y X Z
Statements Reasons
1.Segment W X is congruent to Segment X Y and segment X Z bisects angle W X Y 1. Given.
2. angle W X Z is congruent to angle Y X Z 2. Definition of an angle bisector.
3. Segment X Z is congruent to segment X Z. 3. _____________
4. triangle W X Z is congruent to triangle Y X Z 4. _____________
A. Reflexive Property of congruent to; SSS
B. Symmetric Property of congruent to; SSS
C. Reflexive Property of congruent to; SAS
D. Symmetric Property of congruent to; SAS
SOMEONE HELP! PLEASE!
The two column proof showing that ΔWXZ ≅ ΔYXZ is as shown below
From the given triangle, we see that;
Given: WX ≅ XY, XZ bisects WXY
Prove: ΔWXZ ≅ ΔYXZ
The two column proof for the above is as follows;
Statement 1; WX ≅ XY, XZ bisects 2
Reason 1; Given
Statement 2: ∠WXZ ≅ YXZ
Reason 2; Angle bisector
Statement 3; XZ ≅ XZ
Reason 3: Reflexive property of congruence
Statement 4: ΔWXZ ≅ ΔYXZ
Reason 4: SAS Congruence Postulate
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help me out guys !!!!!!
Answer:
\(2\sqrt[3]{5}\)
Step-by-step explanation:
40 = 8 x 5 and 8 is the cube of 2, so 2 goes on the outside but 5 can't be simplified
An investment company advertised that last year its clients, on average, made a profit of 8% . Assuming that average refers to the mean, which of the following claims must be true based on this information?
a. This year some of their clients will make a profit of at least 8%.
b. Last year some of their clients made a profit of at least 8%.
c. Last year more than half of their clients made a profit of at least 8%.
d. Last year at least one of their clients made a profit of more than 11%.
e. Last year at least one of their clients made a profit of exactly 8%.
f. None of the above statements is true.
Answer:
The answer is "Option 2".
Step-by-step explanation:
Please find the complete question in the attached file.
When there is a mean value k in a set of data. Otherwise, we will assert with certainty that at least one of the values is k. They can't say anything at all about the maximum or even the minimum using knowledge only. Nevertheless, we know that certain numbers cannot be over and that all numbers cannot be below than mean. Mean also no value throughout the data set must be equal.
5x-y=1/4 write in slope-intercept form
The slope intercept form of the given equation is,
y = 5x - 1/4
Given an equation of a line as,
5x - y = 1/4
We have to write the equation of the line in slope intercept form.
Equation of the line in slope intercept form is,
y = mx + c
Here m is the slope and c is the y intercept.
Rearranging the given equation,
5x = y + 1/4
5x - 1/4 = y
or,
y = 5x - 1/4
Hence the slope intercept form is y = 5x - 1/4.
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(-m2 + 6) + (-4m2 + 7m + 2) =
Answer:
−5m² + 7m + 8
Explanation:
−m² + 6 − 4m² + 7m + 2
= −m² + 6 + −4m² + 7m + 2
[ Combine Like Terms ]
= −m² + 6 + −4m² + 7m + 2
= ( −m² + −4m²) + (7m) + (6 + 2)
= −5m² + 7m + 8
Nine raise to pawer one upon three into twenty seven raise to power one upon two upon three raise to power minus one upon six and three raise to power one upon three
Answer:
Step-by-step explanation:
Let's break down the expression step by step:
Nine raised to the power of 1/3:
9^(1/3) = ∛9 = 2.0801
Twenty-seven raised to the power of 1/2:
√27 = 5.1962
Two raised to the power of 1/6:
∛2 = 1.1225
Combining the previous results:
(2.0801 * 5.1962) / 1.1225
Three raised to the power of 1/3:
∛3 = 1.4422
Combining the final result:
(2.0801 * 5.1962) / 1.1225 * 1.4422
(2.0801 * 5.1962) / 1.1225 * 1.4422 ≈ 9.7085
Therefore, the value of the given expression is approximately 9.7085.
Step-by-step explanation:
to control fever a doctor recommend that a child should be given one mg of certain medicine for every 0. 07 kg body weight if the those is proportional to the body weight of the child then the quantity of medicine for a child of body weight to 24.92 kg
Round 5 2/3 to the nearest whole number then subtract
Page 2
QUESTION 1
1.1 Factorise the following expressions fully:
(2)
1.1.1
4x - x²
1.1.2
(2)
x² – 8y3
(2)
1.1.3
x² + 15x - 54
6x2y - 10xy + 15x - 25
1.1.4
(3)
help me understand this I'm new to this
9514 1404 393
Answer:
x(4-x)no factorization. x² -8y³(x +18)(x -3)(2xy +5)(3x -5)Step-by-step explanation:
Factoring is taking apart products. It helps immensely if you are familiar with how products are formed. That is, it helps to be familiar with your multiplication tables and the rules of divisibility. It also helps to have thorough understanding of the distributive property and the forms produced by the multiplication of binomials.
The first step is to look for any factors that are common to all of the terms you are factoring. Next steps include ...
look for any special forms (square of binomial, difference of squares, sum or difference of cubes)see if factoring by grouping can work.__
1.1.1 4x -x^2
There is only one constant, so no constant factors. The variable x appears in all terms, with a lowest power of 1, so x^1 = x is a factor.
= x(4 -x) . . . . . . . cannot be factored further
__
1.1.2 x² -8y³ . . . . we assume this is the intended expression. (It helps to use appropriate (and consistent) exponent presentation: x^2 -8y^3, or x² -8y³.
There are no common numerical factors, no common variable factors, and the form is not the difference of squares or cubes. This expression cannot be factored.
__
1.1.3 x² +15x -54
This is a trinomial in a single variable (x), so may be factorable as the product of two binomials. The product of binomial factors will have the form ...
(x -p)(x +q) = x² +(q-p)x -pq
This means we are looking for two factors of 54 that have a difference of 15. Here is where your familiarity with numerical factoring is helpful.
54 = 54×1 = 27×2 = 18×3 = 9×6
Differences of the factors are 54-1=53, 25, 15, 3. The factor pair we're looking for is 18×3. Comparing that to the above form, we see that q=18 and p=3, so the factorization is ...
= (x -3)(x +18)
__
1.1.4 6x²y -10xy +15x -25
There are no numerical or variable factors that are seen in all terms. However, we notice that pairs of terms have common factors. Factoring those out gives ...
= (2xy)(3x -5) +5(3x -5)
At this point, we notice that (3x -5) is a factor of both of these terms, so we can factor it out. This gives the complete factorization ...
= (2xy +5)(3x -5)
_____
Additional comment
Many methods are promoted for factoring trinomials. It is helpful to understand that the product of factors looks like ...
(ax +b)(cx +d) = acx² +(ad+bc)x +bd
That is to say, the product of the x² coefficient and the constant term (ac·bd) will have factors (ad, bc) that have a sum equal to the linear term coefficient. Once you realize this, finding the factorization is not so difficult. You look at the factor pairs of abcd in the same way we looked at factor pairs of -54 in problem 1.1.3 above.
4. What is Probability?
(ii) State the axioms of probability
(iii)Two fair dice are thrown, what is the probability of getting
(a) the sum of 9
(b) two odd numbers
(c) two prime numbers
(d) two factors of 12
4c. What is Statistics?
(i) Probability is a notion in Mathematics which describes the likelihood of an event or a set of events occurring. It is a measure of uncertainty when estimating the outcome of an experiment or an observation.
(ii) The axioms of probability are:
the non-negativity (that the probability of an event is greater than or equal to zero), and
the additivity (that the probability of the union of two or more mutually exclusive events is equal to the sum of their individual probabilities).
(iii) When two fair dice are thrown the probability of getting:
a) The sum of 9 = 1/9
b) Two odd numbers = 1/4
c) two prime numbers = 1/9
d) two factors of 12 = 1/9
(iv) Statistics is a branch of mathematics that deals with data collection, analysis, interpretation, presentation, etc.
How to find probability when two dice are thrown?To find probability when two dice are thrown, we have:
(a) The sum of 9:
We will estimate the number of ways to get a sum of 9: (3,6), (4,5), (5,4), and (6,3) = 4 ways
A die has 6 possible outcomes, the total number of possible outcomes is 6x6=36 = 4/36 = 1/9.
(b) Two odd numbers:
We count the number of ways to get two odd numbers: (1,3), (1,5), (1,7), (3,1), (3,5), (3,7), (5,1), (5,3), and (5,7).
possible outcomes = 9,
So, the total possible outcomes = 6x6=36 = 9/36 = 1/4.
(c) Two prime numbers
We estimate the number of ways we can get two prime numbers: (2,3), (3,2), (5,2), and (2,5)
possible outcomes = 4,
So, the total possible outcomes = 6x6 =36 = 4/36, = 1/9.
(d) Two factors of 12:
We count the number of ways and divide by the total possible outcomes.
The factors of 12 are 1, 2, 3, 4, 6, and 12: (2,6), (3,4), and (4,3) = 3 ways
possible outcomes = 6
Therefore, the total number of possible outcomes = 6x6=36 = 3/36, = 1/12
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18 - 7 > w on a number line
6 divided by 938 long division
ASAP Noya noods to determine the number of books that will fit into a box. If the box has a length of 18 inches and each book is
2
of an inch thick, which expression can be used to determine the number of books that will fit into the box?
O 18
18-3
0 18x}
18
O
Answer:
the correct answer would be B
( 18-3 )
Step-by-step explanation:
Answer: 2/9 x = 18; If the total amount of space is 18 inches, and each book is 2/9ths of an inch thick, you have to use x to figure out the missing value of how many books will fit
Step-by-step explanation:
URGENT !! EXTRA POINTS !
What is the midline value of the graph?
A. X= -4
B. Y = 4
C. Y= -4
D. -4
The midline value of the graph is given as Y= -4
How to solve for the midline of a graphThe midline of a graph typically refers to a horizontal line that divides the graph into two equal parts. To find the midline of a graph, you need to follow these steps:
Identify the highest and lowest points on the graph: You need to find the maximum and minimum values on the vertical axis of the graph.
Calculate the average of the highest and lowest points: To find the midline, you need to find the average of the highest and lowest points. Add the two values together and divide by two.
The midline value of a graph can be solved by maximum value + minimum value / 2
In the question the maximum value = -1
The minimum value = -7
The midline would be -1 - 7 / 2
= - 8 / 2
= -4
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Find the x-intercept and y-intercept for 8x-9y=15
The x and y-intercept of the equation [8x - 9y = 15] are ( 15/8, 0 ) and ( 0, -5/3 ) respectively.
What are the x and y-intercept?Given the equation;
8x - 9y = 15
First, we find the x-intercepts by simply substituting 0 for y and solve for x.
8x - 9y = 15
8x - 9(0) = 15
8x = 15
Divide both sides by 8
8x/8 = 15/8
x = 15/8
Next, we find the y-intercept by substituting 0 for x and solve for y.
8x - 9y = 15
8(0) - 9y = 15
- 9y = 15
Divide both sides by -9
- 9y/(-9) = 15/(-9)
y = -15/9
y = -5/3
We list the intercepts;
x-intercept: ( 15/8, 0 )
y-intercept: ( 0, -5/3 )
Therefore, the x and y-intercept of the equation [8x - 9y = 15] are ( 15/8, 0 ) and ( 0, -5/3 ) respectively.
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5. The value of ACOR stock rose 4.5% during June. The stock sold for $28 a share at the end of May. How much did the value of ACOR stock increase during June?
The value of ACOR stock rose 4.5% during June. The stock sold for $28 a share at the end of May. How much did the value of ACOR stock increase during June?
Given: A (-3, 5) and B (4, -2), what is the length of AB?
After considering the given data we come to the conclusion that the length of AB is 12.124 units, under the condition that A (-3, 5) and B (4, -2) are the given coordinates.
The distance between two points in a plane can be found using the distance formula which is an application of the Pythagorean theorem. The formula is given by d=√ ( ((x₂ – x₁ )² + (y₂ – y₁ )²)
Here (x₁, y₁) and (x₂, y₂) are the coordinates of the two points.
Applying the given coordinates of A (-3, 5) and B (4, -2), we can evaluate the distance between them as follows:
d = √( (4 - (-3))² + (-2 - 5)² )
= √(7² + (-7)²)
= √(98 + 49)
= √147
= 12.124
Therefore, the length of AB is approximately 12.124 units.
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Murray’s father deposited $6,000 of his savings into two accounts. One account earns 1.5 percent interest, and the other account earns 2.5 percent interest. At the end the year, the interest in the account that earned 2.5 percent was $110.00 more than the other account. Which system represents the amounts of money, x and y, that was put into each account?
Convert 9.2495 to a percent
Answer:
924.95 %
Step-by-step explanation:
9.2495 x 100% = 924.95 %
Im asking a question here is Given LT = TR, Prove: triangle LIT = triangle TER
The statements and Reasons to prove that the two triangles are congruent are explained below.
What are congruent triangles?When the corresponding sides and angles of two or more triangles are equal, then they are said to be congruent. This implies that the triangles are the same in sides and measure of angles, and the relation can be expressed in required term.
The expected prove with statement and reasons that ΔLIT ≅ ΔTER is explained below:
STATEMENT REASON
1. LT ≅ TR Given
2. <ILT ≅ <ETR Given
3. IT II ER Definition of parallel lines
4. <LTI ≅ <ERT Corresponding Angles
5. ΔLIT ≅ ΔTER Angle-Side-Angle (ASA)
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An investment fund that pays quarterly dividends for 10 years yields an annual return of 6.6%. If the initial price of the fund is $200, what is the amount of the dividend?
\(\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{6.6\% of 200}}{\left( \cfrac{6.6}{100} \right)200}\implies 13.2\)