Answer:
$56.25
Step-by-step explanation:
We know that Max has just enough money to buy 3 tickets that each cost $18.75, so let's write the expression:
18.75 * 3
We just solve this by multiplication:
18.75 * 3 = $56.25
Max saved $56.25.
Answer:
$56.25
Step-by-step explanation:
His savings were equal to the cost of 3 tickets, therefore
Savings = 3 × 18.75
Savings = 56.25
Write in radical form. Do not simplify.
11x^1/4
The radical form of the given exponential form of a number 11x^(1/4) is written as ( 11 ) × \(\sqrt[4]{x}\).
As given in the question ,
Given exponential form is equal to :
11x^(1/4)
Using th formula to convert exponential form into radical form in standard form we have :
( y )^ ( a / b ) = \(\sqrt[b]{y^{a} }\)
Here y is equal to x
a is equal to 1
b is equal to 4
Substitute the value of the given expressions in the formula we have,
11x^(1/4)
= ( 11 ) × [x^(1/4) ]
= ( 11 ) × \(\sqrt[4]{x^{1} }\)
Any thing raise to one is the number or variable itself the required radical form is equal to:
= ( 11 ) × \(\sqrt[4]{x}\)
Therefore, the radical form of the given expression 11x^(1/4) is given by :
( 11 ) × \(\sqrt[4]{x}\).
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What is the relationship between the domain and range of a relation and its inverse?
Answer:
the x-values of the relation are the y-values of the inverse.
A contractor is pouring a concrete wall is that is four feet high , 18 inches thick and 375 feet long . How many cubic yards of concrete will it take to pour wall ?
We are given the following dimensions of a concrete wall.
Height = 4 feet
Width = 18 inches
Length = 375 feet
We are asked to determine how many cubic yards of concrete will it take to pour the wall.
Recall that the volume of a rectangular prism is given by
\(V=l\cdot w\cdot h\)Where l is the length, w is the width, and h is the height.
First, we need to convert all the given dimensions to yards.
There are 3 feet in 1 yard.
\(\begin{gathered} h=4\times\frac{1}{3}=\frac{4}{3}\; yd \\ l=375\times\frac{1}{3}=125\; yd \end{gathered}\)There are 36 inches in 1 yard.
\(w=18\times\frac{1}{36}=0.5\; yd\)Now, we have all the dimensions in yards, let us substitute them into the formula
\(\begin{gathered} V=l\cdot w\cdot h \\ V=125\cdot0.5\cdot\frac{4}{3} \\ V=83.33\; yd^3 \end{gathered}\)Therefore, 83.33 cubic yards of concrete is required to pour the wall.
If 8 feet of fencing costs $12.40 , how much does 36 feet of fencing cost?
Answer:
$55.80
Step-by-step explanation:
8, 16, 24, 32, 36
8=12.40, 16=24.80, 24=37.2, 32=49.6,
+4 makes it 36 so it's have of 8, so add 6.20 to the end and it's 55.80
vegetable ghee is stored in the cylindrical vessel of internal radius 1.4m height 1.5m. if it is transferred into the rectangular tin cans 33cm * 10cm*5cm how many cans are required to empty the vessel
Answer:
5,598 cans are required to empty the vessel
Step-by-step explanation:
The volume of a cylinder of radius r and height h is:
\(V = \pi r^2h\)
The volume of a box of dimensions X, Y, and Z is:
V=X.Y.Z
A cylinder of r=1.4 m and height h=1.5 is used to store vegetable ghee. It contains a volume of:
\(V_1 = \pi 1.4^2*1.5\)
\(V_1=9.236\ m^3\)
Converting to cubic cm:
\(V_1=9.236*1,000,000\ cm^3\)
\(V_1=9,236,282\ cm^3\)
The volume of each rectangular tin can is:
\(V_2=33*10*5=1,650\ cm^3\)
\(V_2=1,650\ cm^3\)
The number of cans required to empty the vessel is:
\(V_1/V_2=9,236,282/1,650 = 5,598\)
5,598 cans are required to empty the vessel
please answer I'll give branliest
Answer:
The answer you chose is wrong. The 2nd option which is A(1) = -7, A(n) - 7 is the correct answer.
Step-by-step explanation:
A(1) = -7, A(n) - 7 is the correct answer because plug in the values and you will get all the values that are in the recursive sequence.
A (1) = -7, A(1) - 7 = -14
A(2) = -14, A(2) - 7 = -21
A(3) = -21, A(3) - 7 = -28
The z score associated with the highest 10% is closest to
a. .0398
b. .5398
c. 1.28
d. -1.28
The z score associated with the highest 10% is closest to: option (c) 1.28
-To find the z score associated with the highest 10%, first determine the percentage that corresponds to the lower 90%, since the z score table typically represents the area to the left of the z score.
- Look up the 0.90 (90%) in a standard normal distribution (z score) table, which will give you the corresponding z score.
-The z score closest to 0.90 in the table is 1.28, which corresponds to the highest 10% of values.
Therefore, the z score associated with the highest 10% is closest to 1.28.
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For each function, identify the x-intercepts.
What is the x-intercept for each of those? Help
Answer:
1. (-4,0) and (-2,0)
2. (2,0)
3. (2,0)
4. (-6,0), (-2,0), (2,0), and (6,0)
Step-by-step explanation:
The x-intercepts are the points in which the line crosses the x-axis. Another word for this are the zeroes, because y=0 would be right on the x-axis, and finding the zeroes would be finding the points that cross y=0. Notice how the points listen on the answer are right on the x-axis of each graph; they intercept the x-axis.
simplify (1-cos x)(1+cos x)
Answer:
\(sin^2x\)
Step-by-step explanation:
To simplify the expression (1 - cos x)(1 + cos x), we can use the difference of squares identity, which states that \(a^2 - b^2 = (a + b)(a - b).\)
Let's apply this identity to the given expression:
\((1 - cos x)(1 + cos x) = 1^2 - (cos x)^2\)
Now, we can simplify further by using the trigonometric identity \(cos^2(x) + sin^2(x) = 1.\) By rearranging this identity, we have \(cos^2(x) = 1 - sin^2(x).\)
Substituting this into our expression, we get:
\(1^2 - (cos x)^2 = 1 - (1 - sin^2(x))\)
Simplifying further:
\(1 - (1 - sin^2(x)) = 1 - 1 + sin^2(x)\)
Finally, we get the simplified expression:
\((1 - cos x)(1 + cos x) = sin^2(x)\)
To simplify the expression \(\sf\:(1-\cos x)(1+\cos x)\\\), follow these steps:
Step 1: Apply the distributive property.
\(\longrightarrow\sf\:(1-\cos x)(1+\cos x) = 1 \cdot 1 + 1 \cdot \\\)\(\sf\: \cos x -\cos x \cdot 1 - \cos x \cdot \cos x\\\)
Step 2: Simplify the terms.
\(\longrightarrow\sf\:1 + \cos x - \cos x - \cos^2 x\\\)
Step 3: Combine like terms.
\(\longrightarrow\sf\:1 - \cos^2 x\\\)
Step 4: Apply the identity \(\sf\:\cos^2 x = 1 - \sin^2 x\\\).
\(\sf\:1 - (1 - \sin^2 x)\\\)
Step 5: Simplify further.
\(\longrightarrow\sf\:1 - 1 + \sin^2 x\\\)
Step 6: Final result.
\(\sf\red\bigstar{\boxed{\sin^2 x}}\\\)
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\textcolor{red}{\underline{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
An inclined plane that forms a 30° angle with the horizontal is thus released from rest, allowing a thin cylindrical shell to roll down it without slipping. Therefore, we must determine how long it takes to travel five metres. Given his theta, the distance here will therefore be equivalent to five metres (30°).
The transformation of System A into System B is:
Equation [A2]+ Equation [A 1] → Equation [B 1]"
The correct answer choice is option D
How can we transform System A into System B?
To transform System A into System B as 1 × Equation [A2] + Equation [A1]→ Equation [B1] and 1 × Equation [A2] → Equation [B2].
System A:
-3x + 4y = -23 [A1]
7x - 2y = -5 [A2]
Multiply equation [A2] by 2
14x - 4y = -10
Add the equation to equation [A1]
14x - 4y = -10
-3x + 4y = -23 [A1]
11x = -33 [B1]
Multiply equation [A2] by 1
7x - 2y = -5 ....[B2]
So therefore, it can be deduced from the step-by-step explanation above that System A is ultimately transformed into System B as 1 × Equation [A2] + Equation [A1]→ Equation [B1] and 1 × Equation [A2] → Equation [B2].
The complete image is attached.
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write an equation in point-slope form of the line that passes through (9, 4) and is parallel to the line y = x - 6.
WILL GIVE BRAINLIEST
Answer:
y = x - 5
Step-by-step explanation:
y = x -6
y = MX +C
.: m = 1 ( where m is the gradient of the line)
Let gradient = gradient 2 ( because the lines are parallel to each other)
m1= m2
1= y- y1 / x - x1
( 9,4) = ( x1 , y1 )
.: 1= y - 4 / x - 9
Cross multiply
1( x -9) = y - 4
x - 9 = y - 4
y = x - 9 + 4
y = x - 5
.: The equation of the line is y = x -5
The answer can also be written as y - 4 = 1( x -9)
Point Q is the image of Q (-5,1) under a translation by 6 units to the right and 2 units down.
What are the coordinates of Q?
Answer:
(1,-1)
Step-by-step explanation:
The graph is being shifted 6 units to the right which affects the x-value and it is also being affected 2 units down which affects the y-value.
Help I tried but I think I did it wrong
Answer:
do you have an image for A and B also?
an optimal solution to a linear programming problem must lie part 2 a. somewhere in the interior of the feasible region. b. at the intersection of at least two constraints. c. somewhere outside of the feasible region. d. somewere on the line between two corner points.
The correct option is b which tells that an optimal solution to a linear programming problem must lie at the intersection of at least two constraints.
Linear programming is an optimization technique that is fine for the purpose of getting the best solution such as maximizing profit or certain 4th-era quantities.
When there are just two choice variables, the graphic method of solving a linear programming issue can be employed.
It is fine by modelling real-life problems into mathematical models that have linear relationships or constraints such as in the form of objective functions.
In linear programming, an objective function defines the formula for quantity optimization and the goal from this is to determine variable values that maximize or minimize the objective function depending on the problem robbery solved.
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Brian can type 40 words a minute.
How many words can be typed in 4.5 minutes?
Which of the following is an acceptable way to express the useful life of a depreciable asset?a.Expected number of units to be produced by the depreciable asset b.Expected number of hours the depreciable asset will remain productive .c .Expected number of miles a depreciable vehicle will be driven d.Expected life in years of the depreciable asset
d. Expected life in years of the depreciable asset. The acceptable way to express the useful life of a depreciable asset is in terms of the expected life in years.
The useful life refers to the period of time over which the asset is expected to contribute to the revenue-generating activities of a business.
While options a, b, and c may be relevant factors for certain specific assets (such as units produced, hours of productivity, or miles driven), they do not encompass the overall concept of useful life. Useful life is a broader measure that takes into account the anticipated duration of productive use, regardless of specific output or activity metrics.
Expressing the useful life in years provides a common standard for comparison and allows for consistency in depreciation calculations and financial reporting. It is a practical and widely accepted approach to estimating the lifespan of a depreciable asset.
It is worth noting that the estimated useful life in years may vary depending on the nature of the asset and industry practices. It is typically determined based on factors such as technological advancements, physical wear and tear, economic obsolescence, and the intended purpose of the asset.
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It cost $4.50 for zoo parking, plus an additional $6.25 for admission per person into the zoo. If Jay starts off with $55.00 and buys 3 admission tickets, how much money will he have left?
Answer: he will be left with 31.74 dollars
Step-by-step explanation:
i first put 55.00 - 4.50 = 50.5
then you subtract 50.5 with 6.25 3 times so the and is 31.74
hope this helped !!
Can someone help pls :)
Answer:
no
Step-by-step explanation:
Tell whether the figure has line symmetry. If so how many lines of symmetry are there?
Solve the equation for x.
answer:
x=-2
Step-by-step explanation:
my suggestion for this problem and all problems like it would to turn everything into 6ths. 1/3 would become 2/6. and 2 would become 12/6. leave the negatives. now you'll add 2/6 to -12/6. which will equal 10/6. divide 10/6 by 5/6 and youll get -2. x=-2
Answer:
x = -2
Step-by-step explanation:
● (5/6)x - (1/3) = -2
Add (1/3) to both sides
● (5/6)x - (1/3) + (1/3) = -2 + (1/3)
-2 is (-6/3)
● (5/6)x = (-6/3) + (1/3)
● (5/6)x = -5/3
Move 5/6 to the other side and switch the places of 5 and 6
● x = (-5/3) × (6/5)
● x = -30/15
● x = -2
if f' * (x) = 2x - 1 and g(x) - x + 3 prove that f g(x) is a linear function
The composite function fg(x) is a linear function by the proof shown below
Proving that the function fg(x) is a linear functionFrom the question, we have the following parameters that can be used in our computation:
f(x) = 2x - 1
g(x) = -x + 3
The above functions are linear functions
This means that the function fg(x) will also be a linear function
To prove this, we have
f(g(x)) = 2(g(x)) - 1
substitute the known values in the above equation, so, we have the following representation
f(g(x)) = 2(-x + 3) - 1
So, we have
f(g(x)) = -2x - 7
Hence, the function is a linear function
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The average earnings per share (EPS) for 9 industrial stocks randomly selected from those listed on the Dow-Jones Industrial Average (DJIA) was found to be 1.85 with a standard deviation of 0.395.
Calculate a 90% confidence interval for the average EPS of all the industrials listed on the DJIA.
To calculate the 90% confidence interval for the average EPS of all industrials listed on the DJIA, we will use the formula:
Confidence interval = sample mean ± (critical value * standard deviation / √sample size)
Step 1: Find the critical value.
Since we want a 90% confidence interval, the corresponding critical value can be obtained from the z-table. The critical value for a 90% confidence level is 1.645.
Step 2: Calculate the margin of error.
The margin of error is given by (critical value * standard deviation / √sample size).
Substituting the values, we get: 1.645 * 0.395 / √9 = 0.29175.
Step 3: Calculate the confidence interval.
The confidence interval is given by the sample mean ± margin of error.
Substituting the values, we get: 1.85 ± 0.29175.
The 90% confidence interval for the average EPS of all industrials listed on the DJIA is (1.55825, 2.14175).
We can be 90% confident that the true average EPS of all industrials listed on the DJIA falls within the range of 1.55825 to 2.14175.
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X is less than or equal to 1
Answer:
x is less than or equal to 1 can also be written as x ≤ 1. The ≤ sign represents "less than or equal to"
Let me know if this helps!
A random sample of 150 students has a grade point average with a mean of 2.86 and with a population standard deviation of 0.78. Construct the confidence interval for the population mean, μ. Use a 98% confidence level.
The 98% confidence interval for the population mean (μ) is approximately (2.711, 3.009).
In order to construct a 98% confidence interval, follow these steps:1: Identify the given data
Sample size (n) = 150 students
Sample mean (x) = 2.86
Population standard deviation (σ) = 0.78
Confidence level = 98%
2: Find the critical z-value (z*) for a 98% confidence level
Using a z-table or calculator, you'll find that the critical z-value for a 98% confidence level is 2.33 (approximately).
3: Calculate the standard error (SE)
SE = σ / √n
SE = 0.78 / √150 ≈ 0.064
4: Calculate the margin of error (ME)
ME = z* × SE
ME = 2.33 × 0.064 ≈ 0.149
5: Construct the confidence interval
Lower limit = x - ME = 2.86 - 0.149 ≈ 2.711
Upper limit = x + ME = 2.86 + 0.149 ≈ 3.009
The 98% confidence interval is approximately (2.711, 3.009).
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Mapiya writes a series of novels. She earned \$75{,}000$75,000dollar sign, 75, comma, 000 for the first book, and her cumulative earnings double with each sequel that she writes.
Answer:
\(E(n)=75000 \times 2^n\)
Complete question:
write a function that gives mapiyas cumulative earnings E(n), in dollars when she has written n sequel's
Step-by-step explanation:
According to the question, she earned $75000 for the first book.
Also,We are given that her cumulative earnings double with each sequel that she writes.
Assuming she has written n sequel's
Now since we are given that her cumulative earnings double with each sequel
So, her initial earning will be \(2^n\) times
So, her earning will be : \(75000 \times 2^n\)
Now we are given that cumulative earnings is denoted by E(n)
So, the function becomes :\(E(n)=75000 \times 2^n\)
Hence a function that gives Mapiya's cumulative earnings E(n), in dollars when she has written n sequel's is \(E(n)=75000 \times 2^n\)
how to do this question plz
Answer:
y=6
Step-by-step explanation:
divide the total area by 5 to get the area of the square
180/5= 36 cm²
the area of a square is y²
so y²=36⇒ y= 6
Select the correct texts in the passage.
Julian factored the expression 2x4 + 2x³ x²-
At which step did Julian make his first mistake, and which statement describes the mistake?
Step 1
Step 2
Step 3
=
=
2x² + 2x³
x(2x²
= C
-
-
x²
x(2x³ + 2x² x − 1)
-
x (2x² (x + 1))
-
-
- X
-
-. His work is shown.
- 1(x − 1)
1) (x + 1)(x - 1)
Julian should have factored (2x²
Julian incorrectly factored -1 from the second group of terms.
Julian should have factored 2x from all terms instead of x.
Julian incorrectly factored 2x2 from the first group of terms.
1) as a difference of squares.
Julian factored the expression of \(2x^{4} +2x^{3} -x^{2} -x\), then the
step 2 ( \(x(2x^{2} +1)) -1(x-1)\)) statement is wrong statement.
Julian should have factored (2*2-1) as a difference of squares.
Julian incorrectly factored -1 from the second group of terms.
Julian should have factored 2x from all terms instead of x
Julian incorrectly factored 2*2 from the first group of terms
The expression is, \(2x^{4} +2x^{3} -x^{2} -x\)
Factors greatest common factors out,
= \(x(2x^{3} +2x^{2} -x-1)\)
Regroup terms into two proportional parts,
= \(x((2x^{3} +2x^{2} )+(-x-1))\)
Factor the expression,
= \(x(2x^{2} (x+1)+(-x-1))\)
= \(x(2x^{2} (x+1)-(x+1))\)
= \(x(x+1)(2x^{2} -1)\)
Hence, we can write,
= \(2x^{4} +2x^{3} -x^{2} -x\)
= \(x(2x^{3}+2x^{2} -x-1)\)
So step 1 is correct.
= \(x(2x^{2} (x+1)-(x+1))\)
Then, step 2 is wrong.
Therefore, the expression of \(2x^{4} +2x^{3} -x^{2} -x\), then the
step 2 ( \(x(2x^{2} +1)) -1(x-1)\) )statement is wrong statement.
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Answer:
Julian should have factored (2x^2-1) as a difference of squares.
Step-by-step explanation:
What are the slope and the y-intercept of the linear function that is represented by the graph?
On a coordinate plane, a line goes through points (0, 3) and (4, 0).
The slope is Negative four-thirds, and the y-intercept is 3.
The slope is Negative four-thirds, and the y-intercept is 4.
The slope is Negative three-fourths, and the y-intercept is 3.
The slope is Negative three-fourths, and the y-intercept is 4.
In your own words, explain the steps you would need to take to find slope from data in a table.
Answer: C: The slope is -3/4, and the y-intercept is 3
Step-by-step explanation: Edge 2020
Answer:
C
The slope is -3/4, and the y-intercept is 3.
Step-by-step explanation:
Did it on edge
Select the two names that could be used to describe the figure.
A.
rectangle
B.
rhombus
C.
square
D.
trapezoid
E.
parallelogram
Answer:
Your closest answers would be D), and E)
Step-by-step explanation:
Mark Brainliest?
the california state university (csu) system consists of 23 campuses, from san diego state in the south to humboldt state near the oregon border. a csu administrator wishes to make an inference about the average distance between the hometowns of students and their campuses. describe and discuss several different sampling methods that might be employed. would this be an enumerative or an analytic study? explain your reasoning
There are several different sampling methods that could be employed for this study, including:
Simple random sampling: This method involves randomly selecting a certain number of students from each campus and measuring the distance between their hometowns and their campuses.
Stratified random sampling: This method involves dividing the student population at each campus into different strata (e.g. by major or year in school) and then randomly selecting a certain number of students from each stratum.
Cluster sampling: This method involves randomly selecting a certain number of campuses and then measuring the distance between the hometowns of all students at those campuses and their respective campuses.
Multi-stage sampling: This method involves using a combination of the above methods, such as first using cluster sampling to select a certain number of campuses and then using stratified random sampling to select a certain number of students from each campus.
This study would be an enumerative study because it seeks to measure the characteristics of a population, in this case, the average distance between the hometowns of students and their campuses, by counting and measuring them.
It is not an analytic study because it doesn't involve testing a hypothesis or making causal inferences.
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