Answer:
10^2
Step-by-step explanation:
-5x+3y=-30
Find x interception
The x-intercept of given equation is x=6 and point is (6,0).
Given the equation is -5x+3y=-30.
Here, we will find the x-intercept of the given equation.
The x-intercept is the point at which a line intersects the x-axis and the y-intersection is the point where a line intersects the y-axis.
We will find the x-intercept by substituting y=0 and applying the inverse operations.
Firstly we will substitute y=0 in equation, we get
-5x+3(0)=-30
Now, we will simplify this, we get
-5x+0=-30
-5x=-30
Further, we will divide both sides with -5, we get
-5x/-5=-30/-5
x=-6
Hence, the x-intercept of the given equation -5x+3y=-30 is x=6.
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the distribution of lengths of rainbow trout from a certain river are normally distributed with a standard deviation of 2.4 inches. it 15% of the rainbow trout are longer than 15 inches, which of the following is closest to the mean of the distribution?
Based on the calculations, the value which closest to the mean of the distribution is equal to: B. 18 inches.
What is a z-value?A z-value is also referred to as a z-score or standard score and it can be defined as a measure of the distance between a raw score and the mean, when standard deviation units are used.
In Statistics, z-values can either be positive or negative and it can be calculated by using this formula:
Z = (x - μ)/δ
Where:
x represents the sample mean or observed data.μ represents the mean.δ represents the standard deviation.If 15 percent of the rainbow trout are longer than 15 inches, then we have:
P(x > 15) = 0.15
From the z-table, the z-value which corresponds to a mean of 0.15 is given by:
z-value = -1.036
Substituting the given parameters into the formula, we have;
Z = (x - μ)/δ
-1.036 = (15 - μ)/2.4
-1.036 × 2.4 = 15 - μ
-2.4864 = 15 - μ
μ = 15 + 2.4864
Mean, μ = 17.4864
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Complete Question:
The distribution of lengths of rainbow trout from a certain river are normally distributed with a standard deviation of 2.4 inches. it 15% of the rainbow trout are longer than 15 inches, which of the following is closest to the mean of the distribution?
A. 26 inches
B. 18 inches
C. 30 inches
D. 33 inches
E. 34 inches
please help
please hurry
The value indicated of the function indicated on the graph of the function is 2
How to determine the value indicate on the graph of the function?The graph represents the given parameter
The given graph is a linear function
This is so because the graph is represented by a straight line
A linear function is represented as
f(x) = mx + c
Where the vertex is
m represents the slope
c represents the y-intercept
From the given graph of the equation, we have
f(1) = 2
This means that
When x = 1, the value of f(x) is 2
Hence, the value indicated of the function indicated on the graph of the function is 2
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Write the slope-intercept form of the equation for each line.
Answer: y=4/5x-1.5
Step-by-step explanation: slope intercept form is y=mx+b
m is going to be the slope of the line which in this case is 4/5 (rise over run)
b is going to be where the line intercepts the y-axis, in this case it looks to be at -1.5. Since the y-intercept is in the negatives, we subtract b.
x is an just a variable to be added in for if/when this equation is used.
What company has the absolute advantage when it comes to producing phones?
a. Gonzalez and Bros. Inc
b. The G company Inc
c. they both do
d. neither
(Option a) Gonzalez and Bros . Inc has the absolute advantage when it comes to producing phones.
Absolute advantage theory
In his book The Wealth of Nations, the 18th-century economist Adam Smith proposed the concept of absolute advantage to describe how countries could benefit from trade by specializing in producing and exporting the goods that they can make more successfully than other countries.
On the other hand, China, Thailand, and Vietnam create and export low-cost manufactured goods. These three countries benefit greatly from their much lower unit labor costs.
Here, option a Gonzales and Bros. Inc has the absolute advantage when it comes to producing phones.
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Brett works for the local farmer, delivering feed and produce to the local community. He uses his own truck for the deliveries. He
gets paid a travel allowance of 64 cents per kilometer travelled. How much car travel allowance would Brett get paid for
travelling a total of 87km?
Select one:
O $55.68
O $67.24
O $54.86
O $45.90
If there is currently $139.50 petty cash in the tin how much do I need to withdraw from the bank to make $200.00 in the tin?
Brett will get paid $55.68 for travelling a total of 87 kilometers at an allowance of 54 cents per kilometer.
According to the International System of Units (SI), one kilometer is equal to 1,000 meters in American English. The United States and the United Kingdom are significant outliers, where the statute mile is the unit of measurement used to express distances between geographical locations on land.
One Kilometer is roughly equivalent to 0.621 miles.
Brett delivers produce for the farmer using his truck.
He gets paid a travel allowance of 64 cents per kilometer.
So to calculate his total allowance we multiply the allowance with the distance travelled.
Brett gets paid: $0.64×87=$55.68
Hence Brett gets paid $55.68. So the first option is correct.
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Compare -2.3 and -8/3 using symbols <, >, or =.
₋2.3 < ₋8/3 is the correct answer.
Given, we need to compare the terms.
₋8/3 = ₋2.67
therefore, 2.3 is less than 2.667
hence we form it as ₋2.3 < ₋2.67
we form: ₋2.3 < ₋8/3
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Among fatal plane crashes that occurred during the past 65 years, 260 were due to pilot error, 62 were due to other human error, 315
were due to weather, 682 were due to mechanical problems, and 313 were due to sabotage.
Fill in the relative frequency for each category. Write answers in percentage form and round to one decimal place as needed. Do not include the percent symbol.
Answer: Pilot Error: 15.9%
Human Error: 3.8%
Weather: 19.3%
Mechanical Problems: 41.8%
Sabotage: 19.2%
Step-by-step explanation:
260+62+315+682+313=
322+997+313=
1319+313=1632 total crashes
Pilot error: 260/1632=
0.159=
0.159*1=
0.159*100%=15.9%
Human error: 62/1632=
0.03799=
0.038=
0.038*100%=3.8%
Weather: 315/1632=
0.193=
0.193*100%=19.3%
Mechanical Problems: 682/1632=
0.41789=
0.418=41.8%
Sabotage: 313/1632=
0.191789=
0.192=19.2%
Andy got a loan of $120000 from a bank at a rate of 9% per annum calculate the i for the loan at the end of the first year
Answer:
I=$10800
Step-by-step explanation:
I=($120000×9×1)÷100
I=$1200×9=$10800
In the figure to the right, if AC=16 and BC=13, what is the radius?
Answer:
Radius AB = 9.3 units
Step-by-step explanation:
BC (tangent) make right angle with radius AB.
AC = 16 units
BC = 13 units
Find:
Radius AB = ?
Computation:
Using Pythagoras theorem:
Radius AB = 9.3 units
Solve for x.
4x^2 - 10 = 90
Francisco earns seven dollars an hour at his part-time job last week he worked 16 hours what was his gross pay for the week what was his salary for the year if he works 16 hours a week all year
Answer:
he works 7 dollars an hour so 16 x 7 = 112 that's for a whole week a year would be 356 x 7 = 2,555 that's 1 whole year
Step-by-step explanation:
sorry if i got this wrong
First make a substitution, and then use integration by parts to evaluate the integral.
Answer: 1/2 ([tex]\pi[/tex]) sin [tex]\pi[/tex] + ∫ x cos [tex]\pi ^{2}[/tex] dx + c
1/2 ([tex]\frac{\pi }{2}[/tex]) sin [tex]\frac{\pi }{2}[/tex] + ∫ x cos [tex]\frac{\pi }{2} ^{2}[/tex] dx + c
Step-by-step explanation:
We can't just integrate straight away, so we try substitution.
While trying substitution, we observe that we could integrate cos([tex]x^{2}[/tex]) x dx
by substitution.
So, let's split the integrand and use integration by parts.
we can represent θ = x,
so, we can write,
= ∫[tex]x^{3} cos x^{2} dx[/tex]
= ∫ [tex]x^{2} cos (x^{2} )xdx[/tex]
We notice that we could rewrite this as ∫ u cos(u) 1/2 du, but we don't see how to integrate that, so we'll continue with parts for now.)
= ∫ [tex]x^{2} cos (x^{2} )xdx[/tex]
Let u=[tex]x^{2}[/tex] and dv = [tex]cos(x^{2} )xdx[/tex]
Clearly du= 2x dx, and
we can integrate dv by substitution to get.
= 1/2 sin [tex]x^{2}[/tex]
uv - ∫ vdu = 1/2 [tex]x^{2}[/tex] sin([tex]x^{2}[/tex]) - ∫ x sin ([tex]x^{2}[/tex]) dx
Integrate by substitution again to finish.
∫ [tex]x^{3} cos (x^{2}) dx[/tex] = 1/2 [tex]x^{2} sin x^{2}[/tex] + ∫ x cos [tex]x^{2}[/tex] dx + c
Then,
x = √[tex]\pi[/tex] and √[tex]\frac{\pi }{2}[/tex]
∫ [tex]x^{3}[/tex] cos [tex]x^{2}[/tex] dx = 1/2 (√[tex]\pi ^{2}[/tex]) sin √[tex]\pi ^{2}[/tex] + ∫ x cos [tex]\pi ^{2}[/tex] dx + c
= 1/2 ([tex]\pi[/tex]) sin [tex]\pi[/tex] + ∫ x cos [tex]\pi ^{2}[/tex] dx + c
∫ [tex]x^{3}[/tex] cos [tex]x^{2}[/tex] dx = 1/2 ([tex]\frac{\pi }{2}[/tex]) sin [tex]\frac{\pi }{2}[/tex] + ∫ x cos [tex]\frac{\pi }{2} ^{2}[/tex] dx + c
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Match the equivalent expressions
Answer: The first one is 36. The second one is 0. The third one is 1/216 and the last on is 1/1,296.
Step-by-step explanation:
Help Please!! If cos theta = - square root 2/2 and pie/2 < theta < pie, what are the values of sin theta and tan theta? What is theta in degrees and radians?
The values of the sine and tangent of the angle are √2 / 2 and - 1. By using inverse trigonometric functions, the value of angle is 135° (3π / 4).
How to find the values of other trigonometric functions and the angle behind themAccording to the statement, the cosine of the angle is in the second quadrant and therefore the value of the sine must be positive and the value of the tangent must be negative. Then, the value of the sine is found by the fundamental formula:
sin θ = √(1 - cos² θ)
sin θ = √[1 - (- √2 / 2)²]
sin θ = √(1 - 1 / 2)
sin θ = √(1 / 2)
sin θ = √2 / 2
And the value of the tangent:
tan θ = sin θ / cos θ
tan θ = (√2 / 2) / (- √2 / 2)
tan θ = - 1
By using inverse trigonometric functions, we find that the value of angle is 135° (3π / 4).
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A deck of cards contains RED cards numbered 1,2,3 and BLUE cards numbered 1,2. Let R be the event of drawing a red card, B the event of drawing a blue card, E the event of drawing an even numbered card, and O the event of drawing an odd card.
Drawing the Blue 2 is an outcome of which of the following events? Select all correct answers
Answer: E & B
Step-by-step explanation:
PLEASE HELP WITH THIS QUESTION! ILL GIVE BRAINLYEST
Which library has more volumes, Baton Rouge or El Paso? What number sentence shows the comparison? A. Baton Rouge; 1,232,185 < 1,277,003 B. El Paso; 1,232,185 > 1,277,003 C. Baton Rouge; 1,232,185 > 1,277,003 D. El Paso; 1,232,185 < 1,277,003
The library has more volumes in El Paso.
The number sentence that shows the comparison is 1,232,185 < 1,277,003
Hence, El Paso; 1,232,185 < 1,277,003. Option D
This is further explained below.
What is a library?Generally, A library is a collection of resources, such as books or other forms of media, that are made available for use rather than being kept only for the purpose of the show.
A library is a facility that makes resources available for physical or digital access, and it may exist either as a real place or as a virtual area, or both.
In conclusion, The library has more volumes in El Paso.
The number sentence that shows the comparison is 1,232,185 < 1,277,003
Hence, El Paso; 1,232,185 < 1,277,003.
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Jill won 55 pieces of gum playing the bean
bag toss at her school's game night. Later,
she gave one to each of her friends. She
only has 40 remaining. How many did
she give away
Answer:
15 gum
Step-by-step explanation:
55-40 = 15
Jessica determines the remainder of (5x^52-4x^15-11x^2+12)/x+1, using the remainder theorem. How does she proceed to the correct answer?
The remainder and factor of the given algebraic expression [tex]\frac{5x^{5} -4x^{3} -11x^{2} +12}{x+1}[/tex] is [tex](5x^{4} -5x^{3} +x^{2} -12x+12)(x+1)[/tex] and [tex]0[/tex]
As per the given question, we are supposed to find out the factor and remainder of the given algebraic expression [tex]\frac{5x^{5} -4x^{3} -11x^{2} +12}{x+1}[/tex] using remainder theorem concept.
Before solving this, we need to know the concept of remainder theorem.
According to which "When a polynomial is divided by a linear polynomial, the remainder theorem is used to get the remaining. We are aware that long division of polynomials can be used to find the remainder after dividing one polynomial by another. The remainder can instead be discovered using the remainder theorem."
Hence using the same concept we can conclude that the factors are [tex](5x^{4} -5x^{3} +x^{2} -12x+12)(x+1)[/tex] and remainder is [tex]0[/tex]
Algebraic Expression: An algebraic symbol or set of symbols that includes one or more integers, variables, and arithmetic operations.Remainder Theorem: When a polynomial is divided by a linear polynomial, the remainder theorem is used to get the remaining. We are aware that long division of polynomials can be used to find the remainder after dividing one polynomial by another. The remainder can instead be discovered using the remainder theorem.To learn more about Remainder Theorem, click on the link given below:
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Enter the sentence as an equation or inequality. Use x to represent any unknown number The sum of 2 and a number is 23.
The sentence can be written as:
x + 2 = 23
And the solution is x = 21.
How to write the sentence as an equation?Here we have the sentence:
" The sum of 2 and a number is 23."
Let's define x as the number, then we can write the equation:
x + 2 = 23
This is a simple linear equation, to solve this we need to subtract 2 in both sides of the equation, we will get:
x + 2 - 2 = 23 - 2
x = 21
We conclude that the number is 21.
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Two trains leave the same station at the same time but are headed in opposite directions. One train travels at 80 mph and the other train travels at 65 mph. How much time passes until the trains are 580 miles apart?
__Hours.
38.7 hours would have passed until the trains are 580 miles apart
How much time passes until the trains are 580 miles apart?The given parameters are
Train 1 = 80 mph
Train 2 = 65 mph
The difference in the speeds of the trains is
d = 80mph - 65mph
Evaluate
d = 15mph
The distance moved is
Distance = 15 * t
At 580 miles apart, we have
15 * t = 580
Divide by 15
t = 38.7 hours
Hence, 38.7 hours would have passed until the trains are 580 miles apart
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12 divided by 3 - 6(2) -8 divided by 4
Is y=10•0.93^x exponential decay, exponential growth or neither
Answer: Exponential decay
Explanation: The base of the actual exponential function, [tex]0.93^{x}[/tex], is less than 1, which means that the output will become smaller.
Alex is thinking of a number that is multiplied by 7 and the added with 27. The result is
equal to 111.
44) What is the equation that you can write to solve for the number if the unknown
number is x.c
The equation that can be used to solve for the unknown number that Alex is thinking is 7x + 27 = 111
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let x represent the unknown number. The number is multiplied by 7 and the added with 27. The result is equal to 111. Hence:
7x + 27 = 111
The equation that can be used to solve for the unknown number that Alex is thinking is 7x + 27 = 111
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Michael rented a truck for one day. There was a base fee of $16.95, and there was an additional charge of 97 cents for each mile driven. Michael had to pay $277.88 when he returned the truck.
For how many miles did he drive the truck?
Answer: 286.474227
Step-by-step explanation: The answer is correct if doing division, if not then this is wrong. I divided 277.88 with 0.97 and got 286.474227
Working alone, Rob can mop a warehouse
in six hours. Molly can mop the same
warehouse in nine hours. How long would
it take them if they worked together?l
It will take Molly and Rob 54/15 hours to mop the warehouse.
What is defined as the concept of work and time?Work is described as anything that has an impact or has an outcome. When it is stated somebody has done a certain work, it means that he or she has completed all of the work. As a result, if Manu accomplishes his work in 5 days, he will complete 100% of the work in 5 days.As a result, we could indeed say that he completes 20% of a work in one day. Similarly, he completes 40% of a work in two days and 60% of a work in three days.For the given question;
Rob takes 6 hours for cleaning the ware house.
Let 'R' be the work done by rob.
Then, work done by Rob in 6 hours is 1/R = 1/6.
Similarly;
Let work by Molly is 'R'.
The, work done by Molly in 1 hour is 1/M = 1/9.
The total work done by both is 1 hour is;
1/R + 1/M = 1/6 + 1/9
Om simplification;
1/R + 1/M = 15/54.
Thus, the total time taken by doing the work is; 54/15 hours.
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CAN YOU PLEASE HELP ME ON #18 PLEASE!!
Answer:
x=90, y= 130
Step-by-step explanation:
Borrowed money for 4 years at 9%. Total interest paid was 2520. How much was borrowed
The required amount that was borrowed is 7000.
Given that,
Borrowed money for 4 years at 9%.
The total interest paid was 2520.
To determine how much money was borrowed.
Simple interest is defined as the percentage of earnings on the lending for a period of time
Here,
interest = [principal * rate * time ] / 100
2520 = [principal * 9* 4] / 100
Principal = 2520 * 100 / 9*4
Principal = 7000
So, the principal amount or initial amount is $7000.
Thus, the required amount that was borrowed is 7000.
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On Monday, Mia spent 3 1/2 hours studying. On Tuesday she spent another 1 3/5 hours studying. What is the total time she spent studying?
pls help me, srry not college
Answer:
5 1/10
Step-by-step explanation:
let me know if you need an explanation
