Answer:
B
Step-by-step explanation:
y - y1 = m (x - x1)
y1 = 3
x1 = 5
m(the slope)= -12
Answer:
l think it A
Step-by-step explanation:
Find at least three different sequences beginning with the terms 3, 5, 7 whose terms are generated by a simple formula or rule.
Answer:
3 5,7,9,11,13,16,17 19,21,23,25,27,29
The given two-way table shows the number of passengers, by type, on the Ferris wheel at an amusement part for its first two runs on a Sunday morning.
First Run
Second Run Total
Children 122 146 268
Adults 183 219 402
Total 305 365 670
Based on the data in the table, what is the value of P(Adult|Second run) rounded to the nearest thousandth?
The two-way table is an illustration of probability, and the value of P(Adult|Second run) is 0.600
How to determine the probability?The probability to calculate is given as: P(Adult|Second run)
This means:
The probability that an Adult is selected given that the adult runs the second run
The formula to solve this is:
P(Adult|Second run) = n(Adult and Second run)/n(Second run)
From the table, we have:
n(Adult and Second run) = 219
n(Second run) = 365
So, we have:
P(Adult|Second run) = 219/365
Evaluate
P(Adult|Second run) = 0.600
Hence, the value of P(Adult|Second run) is 0.600
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Answer:
The value of P rounded to the nearest thousandth would be 0.6
Hope this helped!
A fishfinder is an instrument on a boat that indicates where fish are located. Are the fish closest to the surface of the water at -20 feet or -30 feet?
Answer:
-20 feet
Step-by-step explanation:
If the fish are closser to the suface it will be closer to 0 on the number line.
A fish finder is an instrument on a boat that indicates that fish are located in a radius of -20 to 0.
Given that,
A fish finder is an instrument on a boat that indicates where fish are located. The range of the fishfinder is to be specified.
Range, it is the set of the values that come out to an outcome for certain mathematical operations.
What is a number line?A number line is defined as the number marked on the line calibrated into an equal number of units. For example -1, 0, 1, and so on.
Here,
The range usual range of the fishfinder is standardly 0 to -20 on the number line of the instrument, where the negative sign indicates the depth.
Thus, A fish finder is an instrument on a boat that indicates that fish are located in a radius of -20 to 0.
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In 1996 there were 3,000 leopards in the wild. Today there are only 70. What is the percent decrease? Round to the nearest percent.
There were 3,000 leopards in the wild in 1996. There are now only 70. There is decrease of 97.67 % in leopards.
We have been giving the leopards in 1996 as 3,000 and leopards today as 70.
Difference between the leopards = 3,000 - 70 = 2,930.
Percent decrease = difference in leopards / leopards in 1996 × 100
= 2930 / 3,000 × 100
= 97.67%.
The percentage drop formula is used to determine how much a variable's value has decreased. The variable can be population, cost, profit, or something else. Percent reduction denotes the percentage change in a value when it is decreased over time.
For example, a decrease in rainfall, a decrease in the number of Covid patients, and so on. The percent decrease formula can be used to determine percent decrease.
Simply divide the decreased number by the original value and multiply by 100 to get the percentage decrease calculation.
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Lyle uses a streaming service to watch movies. Last month he paid $26.91 and watched 9 movies. If he watches 11 movies this month, how much will he pay the steaming service?
A. $32.89
B. $26.91
C. $2.99
D. 3.68
Answer:
A. $32.89
Step-by-step explanation:
Take the amount and divide by the number of movies watched
26.91 / 9 =2.99
Now multiply by the new number of movies he wants to watch, 11
2,99 *11
32.89
Answer:
A) $32.89
Step-by-step explanation:
We divided 26.91 by 9 to find how much it is per movie
26.91/9
2.99
It is 2.99 for 1 movie so now we multiply by 11 to find all 11 movies price
2.99x11
$32.89
Hopes this helps please mark brainliest if you would like to learn cross multiply way just let me know
How long is the arc intersected by a central angle of startfraction pi over 2 endfraction radians in a circle with a radius of 4.5 cm? round your answer to the nearest tenth. use 3.14 for pi.
7.1 cm long is the arc intersected by a central angle .
What is length of an arc?
The arc length of a circle can be calculated with the radius and central angle using the arc length formula. Length of an Arc = θ × r, where θ is in radian. Length of an Arc = θ × (π/180) × r, where θ is in degree.Given,
Central angle = π / 2
radius = 4.5 cm
we apply formula of length of arc.
length of the arc = angle × radius
= (π/2) × (4.5 cm)
Now put value of π = 3.14
length of the arc = (3.14 / 2) × (4.5) cm
= 7.065 cm ≈ 7.1 cm
Therefore, 7.1 cm long is the arc intersected by a central angle .
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The lengths of these sides of a triangle are 14cm, 22cm and 30cm. Find the measure of the smallest angle in the triangle to the nearest tenth.
As per given by the question,
There are given that a length of three sides of the triangle.
The length of sides are, 14cm, 22cm, and 30cm.
Now,
For finding the measure of the smallest angle,
The smallest angle in a triangle is always opposite the shortest side. and also the bigest angle is always opposite the longest side.
So,
Suppose length A is 14cm, B is 22 cm and C is 30cm.
Then,
From the law of cosines,
Let A be the smallest angle.
So,
\(14^2=30^2+22^2-2(30)(22)\cos A\)Now,
Find the value of angle A,
\(\begin{gathered} 14^2=30^2+22^2-2(30)(22)\cos A \\ 196=900+484-1320\cos A \end{gathered}\)Now,
\(\begin{gathered} 196=1384-1320\text{ cosA} \\ 196-1384+1320\cos A=0 \\ -1188+1320\cos A=0 \\ -1188=-1320\cos A \\ \cos A=\frac{1188}{1320} \end{gathered}\)Then,
\(\begin{gathered} \cos A=\frac{1188}{1320} \\ \cos A=0.9 \\ A=\cos ^{-1}(0.9) \\ A=25.84^{\circ} \end{gathered}\)Hence, the measure of the smallest angle is 25.84 degree.
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There are 460 students enrolled at freedom academy. 40 percent of the students are male. How many males attend Freedom academy?
Answer:
184
Step-by-step explanation:
convert percentage into decimal:
40% = 40/100 = 0.4
Therefore 40% of 460 = 0.4 x 460 = 184
Solution:
Note that:
460 students = Total40% = MaleUse the percentage formula to find out how much males attended the freedom academy.
Total males/Total students x 100 = % of males=> x/460 x 100 = 40%=> x/46 x 10 = 40% => x/23 x 5 = 40% => 5x/23 = 40% => 5x = 920=> x = 920/5 = 184184 males attended the Freedom academy.
Barney purchases an MP3 player from an online store for 80,00. On the checkout page, he noticed that the store has applied a sales tax of 7%. Using a proportion, find the amount of his total bill that Barney is charged as sales tax
This amount is equivalent to 7% of his total bill. Barney purchased an MP3 player from an online store for $80.00.
On the checkout page, he noticed that the store had applied a sales tax of 7%. Using a proportion, find the amount of his total bill that Barney is charged as sales tax. The amount that Barney is charged as sales tax can be determined by multiplying the sales tax rate by the total amount paid.
The formula for calculating the amount of sales tax is: Amount of sales tax = Tax rate × Total amount paid.
In this case, the total amount paid by Barney was $80.00. Therefore, the amount of sales tax he was charged is: Amount of sales tax = 7% × $80.00 = 0.07 × $80.00 = $5.60.
Therefore, Barney was charged $5.60 in sales tax on his MP3 player.
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Help me solve this problem please
estimate the solution to the following system of equations by graphing. 3x 5y=14, 6x-4y=9
Answer choices:
a. (5/2, 4/3)
b. ( 4/3, 5/2)
c. ( 7/3 , -7/2)
d. (-5/2 , -7/2)
The solution to the following system of equations by graphing is (4/3, 5/2), the correct option is B.
We are given that;
The equations 3x 5y=14, 6x-4y=9
Now,
To estimate the solution to the system of equations by graphing, we can plot the lines of the two equations on a graph and find the point where they intersect. The point of intersection is the solution to the system of equations.
The first equation is 3x + 5y = 14 and the second equation is 6x - 4y = 9. We can solve for y in each equation and then plot them on a graph.
For the first equation, we have:
3x + 5y = 14 5y = -3x + 14 y = (-3/5)x + (14/5)
For the second equation, we have:
6x - 4y = 9 4y = 6x - 9 y = (3/2)x - (9/4)
Now we can plot these two lines on a graph and find their point of intersection.
The point of intersection is approximately (1.2, 2.6).
Therefore, by equations the answer will be (4/3, 5/2).
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Now select point A, B, or D on the line segment and move the point while keeping the order of A, B, C, and D the same. How does the relationship between the lengths of the line segments change?
Answer: The relationship between the lengths of the line segments doesn't change. In all the cases, AB = CD and AC = BD.
Step-by-step explanation: this is plato!!!!!!!!
Answer:
The relationship between the lengths of the line segments doesn't change. In all the cases, AB = CD and AC = BD.
Step-by-step explanation:
what is the solid of revolution obtained when you revolve the region bounded by the curves y equals x minus 1, y equals 0, and x equals 3 about the x-axis?
The height of the cylinder is 3 and its base is a circular disk with radius 1.
The solid of revolution obtained by revolving the region bounded by the curves y = x - 1, y = 0, and x = 3 about the x-axis is a cylinder.
The curves y = x - 1 and y = 0 bound a triangular region in the xy-plane with vertices (0, -1), (3, 0), and (1, 0). When this region is revolved about the x-axis, it generates a cylinder with height 3 and base a circular disk with radius 1.
A cylinder has traditionally been a three-dimensional solid, one of the most normal of curvilinear geometric shapes.
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Calculating various expenses that are business had incurred in the past quarter. which asset would you calculate the expense of depreciation
When calculating expenses of depreciation for a business, the asset typically associated with this calculation is fixed assets or property, plant, and equipment (PPE). These are long-term assets used in the production of goods or services and include items such as buildings, machinery, vehicles, and furniture.
Depreciation is an accounting method used to allocate the cost of these assets over their useful lives. It represents the gradual decrease in value or wear and tear of the assets due to factors like time, usage, and obsolescence.
To calculate the expense of depreciation, you would typically consider the initial cost of the asset, its estimated useful life, and any estimated salvage or residual value at the end of its useful life. Various depreciation methods such as straight-line depreciation, declining balance depreciation, or units-of-production depreciation can be used to calculate the expense of depreciation. Each method has its own formula and assumptions for allocating the cost over time.
It's important to note that the specific assets and depreciation methods used for expense calculation may vary depending on the business and its industry. Additionally, accounting regulations and standards, such as generally accepted accounting principles (GAAP) or international financial reporting standards (IFRS), may provide guidelines for how to calculate and report depreciation expenses.
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TRAINGLE ABC IS A EQILATERAL TRIANGLE SEE QUESTION IN ATTACHED DOCUMENT AND SOLVE
According to the given triangle, the value of ∠AFE = 48 degrees. (option b).
Let's start by looking at the given figure. We have an equilateral triangle ABC, which means all its sides are equal, and all its angles are 60 degrees. We are also given a point D outside the triangle and an angle CAD of 18 degrees. This means that the angle CAD and the angle BAC are supplementary (they add up to 180 degrees), since they both share the side AC.
Now, we can apply the angle bisector theorem to the triangle AEB. This tells us that AE/EB = AD/DB. Since CD = BE and triangle ADE is congruent to triangle BDC, we can say that
AD/DB = AE/EC = (AE + EC)/EC = AC/EC.
Therefore,
=> AE/EC = AC/EC - 1 = (2 cos 18 - 1)/sin 18.
Solving for sin ∠AFE, we get sin
∠AFE = (sin 12)(sin (42 - x))/sin (126 - x)(sin (60 - x)).
Taking the inverse sine of this value, we get
∠AFE = 48 degrees.
Therefore, the answer is option B, 48 degrees.
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Can someone help me asap? It’s due tomorrow. I will give brainliest if it’s correct
The sampling method used by the principal in this scenario is stratified sampling.
What is the sampling?Stratified sampling involves dividing the population into distinct subgroups, or strata, based on certain characteristics (in this case, grade level), and then randomly sampling from each stratum to ensure that each subgroup is represented in the sample.
By organizing the school's population by grade level and sampling from each grade level (freshman, sophomore, junior, and senior), the principal is using stratified sampling to gather data on preferred elective courses.
Therefore, This method helps ensure that the sample is representative of the entire population and can provide more accurate results compared to other sampling methods, such as convenience sampling, systematic sampling, or volunteer sampling, which may introduce biases or limitations in the sample.
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See text below
3. A principal wants to know what electives should be added to the school schedule. He organizes the school's population by grade level and then randomly samples fifty students in the freshman, sophomore, junior, and senior classes about their preferred elective course. What sampling method did the principal use?
convenience sampling
stratified sampling
systematic sampling
volunteer sampling
Which two functions are inverses of each other?
HURRY 30 points
Answer:
C. f(x)=4x, g(x)=1/4x
Step-by-step explanation:
Find the inverse by switching y and x
y=x --> x=y (so a is wrong)
y=2x --> x=2y --> y=1/2 (b is wrong)
y=4x --> x=4y --> y=1/4x (c is right)
y=-8x --> x=8y --> y=-1/8x (d is wrong)
Explain when it is appropriate to use a benchmark percent in solving a problem.
solve 5x^2=180 algebraically
Answer:
x = ± 6
Step-by-step explanation:
Hello!
Solve\(5x^2 = 180\)\(x^2 = 180/5\)\(x^2 = 36\)\(\sqrt{x^2} = \sqrt{36}\)\(x = \pm 6\)The value of x is 6 or -6.
Hi...
Given:
\(\texttt{5x}\)² \(\texttt{= 180}\)
Solution:\(\texttt{5x}\)² \(\texttt{= 180}\)
Explanation:Divide both sides by 5
\(\hookrightarrow{\mathtt{\frac{5x^2}{5}} = {\mathtt{\frac{180}{5}}\)
Simplify:
\(\hookrightarrow{\mathtt{x^2 = 36}\)
\(\hookrightarrow{\mathtt{For \: x^2 \: = f(a) \: the \: solutions \: are \: x = \sqrt{f(a)}}\) , \(\mathtt{- \sqrt{f(a)}}\)
\(\hookrightarrow{\mathtt{x = \sqrt{36}}\) , \(\mathtt{x = -\sqrt{36}}\)
Factor the number: 36 = 6²
\(\mathtt{= \sqrt{6^2}}\)
Apply radical rule: \(\mathtt{\sqrt[n]{a^n} \: = a}\)
\(\mathtt{\sqrt{6^2} = 6} \\\mathtt{= 6}\)
- \(\sqrt{36} = -6\)
\(\boxed{\fbox{\bf{x = 6 , x = -6}}}\)
Hope It Helps You...
MY FINAL QUESTION WILL FOREVER BE GRATEFUL PLS HELP WILL GIVE BRANLIEST!! AT LEAST TAKE A LOOK!!!! PLS I AM BEGGING!!!
17. Write an informal proof to show triangles ABC and DEF are similar.
IF YOU LOOK CLOSE YOU CAN SEE THE NUMBERS AND LETTERS FOR THE SHAPE,!!
The smaller triangle is DEF which has sides
DF = 1DE = 2EF = 3The larger triangle ABC has side lengths of
AC = 2AB = 4BC = 6Note how the sequence 2,4,6 is exactly double that of 1,2,3. Therefore, the sides of triangle ABC are twice as large as the corresponding sides of triangle DEF.
Put another way, computing the ratios of the corresponding sides all lead to the same value, so we have BC/EF = 6/3 = 2, and we have AB/DE = 4/2 = 2, and finally AC/DF = 2/1 = 2. These three equations all confirm ABC is twice as large as DEF.
By the SSS (side side side) similarity theorem, we can conclude the triangles are similar. They have the same shape, but different size.
Expand 3(c+7) I need this answer quick!
Answer:
Y = 3(c+7)
Hope this helps!
Look over the probability rules/concepts (independent event, multiplication rule, and addition rule). make sure you understand them. what is the probability that a couple will have a girl, a boy, a girl, and a boy in this specific order
Mary put 12,600 in an account with a simple interest rate of 2.2% find the amount of interest earned at the end of 10 years
Mary put 12,600 in an account with a simple interest rate of 2.2%. Simple interest is calculated by multiplying the principal amount, interest rate, and time in years. So, the amount of interest earned by Mary at the end of 10 years is 2,772.
Therefore, the interest earned at the end of 10 years can be calculated as follows:
Interest = Principal x Rate x Time
Interest = 12,600 x 0.022 x 10
Interest = 2,772
It is important to note that simple interest does not compound over time, so the interest earned remains constant over the years. In comparison, compound interest would have earned more interest over time as the interest earned is added to the principal amount and the new total earns interest.
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The power, P (watts), of a car engine is
to the square of its speed,
proportional
s (m/s).
When s= 25, P = 1400.
Work out the power when the speed is
30 m/s
→ P =
watts
If the power, P (watts), of a car engine is to the square of its speed, proportional s (m/s). when s= 25, P = 1400. The power when the speed is 30 m/s is: 2016 watts.
How to find the power?Given data :
Power , P = 1400
Speed ,s = 25
Speed ,s1= 30
Now let determine the power when the speed is 30 m/s
Hence,
1400/25² = P1 /30²
1400/ 625 = P1 /900
2.24 = P1 /900
P1 = 2.24 × 900
P1 = 2016 watts
Therefore we can conclude that the power is 2016 watts.
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Select the correct answer A new company is looking to expand its business attachment below
The required quadratic equation is: y = -0.75x² + 16x + 2
How to create the quadratic equation?The general form of expression of a quadratic equation is:
y = ax² + bx + c
Now, from the given function table, we see that:
When x = 0, y = 2
When x = 2, y = 31
When x = 4, y = 54
When x = 6, y = 71
When x = 8, y = 82
Thus at (0, 2), we have:
a(0)² + b(0) + c = 2
Thus, c = 2
At (2, 31), we have:
a(2)² + b(2) + 2 = 31
4a + 2b = 29 -----(1)
At (4, 54), we have:
a(4)² + b(4) + 2 = 54
16a + 4b = 52 ----(2)
Solving simultaneously gives:
a = -0.75 and b = 16
Thus, the quadratic equation is:
y = -0.75x² + 16x + 2
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provide an example of a one-way anova that could be done as both a between-subjects and repeated-measures design. for your example, indicate which would be better to use and why.
An example of a one-way ANOVA that could be conducted as both a between-subjects and repeated-measures design is a study comparing the effectiveness of three different teaching methods on student performance. Conducting the ANOVA as a repeated-measures design would be more appropriate in this case.
Suppose a researcher wants to investigate the impact of three teaching methods (A, B, and C) on student performance in a specific subject.
In a between-subjects design, different groups of students would be assigned to each teaching method, and their performance scores would be measured and compared.
This would involve independent groups of participants, with each participant experiencing only one teaching method.
On the other hand, in a repeated-measures design, the same group of students would receive all three teaching methods in a random order, and their performance scores would be measured after each method.
This allows for a direct within-subject comparison of the three teaching methods, as each participant serves as their control.
In this example, a repeated-measures design would be more appropriate.
It eliminates the individual differences between participants, making the comparison more accurate and reducing the variability in the data.
Additionally, using a repeated-measures design requires a smaller sample size compared to a between-subjects design, which can be more cost-effective and efficient.
By using a repeated-measures design, the researcher can directly observe the effect of each teaching method on the same group of students, leading to a more robust and precise analysis of the teaching methods' effectiveness.
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Can anyone help pls I’m struggling on this
Step-by-step explanation:
9311/35. 1/9
plz mark my answer as brainlist plzzzz.hope this will be helpful to you.
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Fill in each blank so that the resulting statement is true.
Consider the following long division problem.
3x-4)9x³ +6x² + 13x-5
Begin the division process by dividing
in the dividend.
Begin the division process by dividing
by
by, which obtains
***
which obtains
.Write this result above
.Write this result above in the dividend.
An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial (No division operation by a variable).
What are some examples of polynomials?
picture of a polynomial,Sums of terms of the form kxn, where k is any number and n is a positive integer, make up polynomials.For instance, the polynomial 3x+2x-5.a description of polynomials.The concepts degree, standard form, monomial, binomial, and trinomial are all covered in this video. The number 10 is not a polynomial by this definition.However, the polynomial is frequently represented by the number 10 (10,0,0,...).This is an illustration of a symbol that is "overloaded," which can occur in math on sometimes.Ideally, the context will always make the meaning evident. Because whole numbers are singular terms without a variable, they would not be considered polynomials by themselves. However, a whole number could be a part of a polynomial as that polynomial's constant term.The leading coefficient is the first term of a polynomial.4x5+2x2−14x+12.A polynomial is simply a sum of several monomials.A polynomial with only two terms can be referred to as a binomial, and a polynomial with three terms is referred to as a trinomial.(3x-4)9x³+6x²+13x-5
derivative of polynomial
axn-1
3x1-1
3x°
3×1
t=3
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Two numbers are respectively 20% and 60% more than a third number. the ratio of the two numbers is:
1 point
2:5
3:5
3:4
6:7
The correct answer is option C which is the ratio of the numbers is 3:4.
What is a ratio?In mathematics, ratios are used to determine the relationship between two numbers it indicates how many times is one number to another number.
Given that:-
Two numbers are respectively 20% and 60% more than a third numberAs we can see that the numbers are more than 20% so suppose the third number is x so the increased number is 1.2x.
Similarly the second condition the increased number is 1.6x.
So the ratio of the numbers will be:-
Ratio = \(\dfrac{1.2x}{1.6x}\)
Ratio = \(\dfrac{3}{4}\)
Therefore the correct answer is option C which is the ratio of the numbers is 3:4.
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