Answer:
(15-3x³) is the answer.
Step-by-step explanation:
2*15-2*3x³
which is 30-6x³.
A pe class has 484848 students. one group of 242424 students chooses to play volleyball. the teacher then divides the remaining students into as many groups of 555 as possible to shoot baskets. after that, the remaining students (not on a volleyball or basketball team) climb the rock wall. how many students climb the rock wall?
444 students will climb the rock wall.
Given, that A class has 484848 students, one group of 242424 students chooses to play volleyball.
Then the teacher divides the remaining students into as many groups of 555 as possible to shoot baskets.
After that, the remaining students (not on a volleyball or basketball team) climb the rock wall.
Now, we are asked that the students who climb the rock wall
So, from a class of 484848 students if One group of 242424 students is made to play volleyball then there will be 242424 students remaining.
Now, to divide 242424 students into groups of 555 students,
we need to divide 242424 by 555, then we get
242424/555 = 436.8
Now there will be 436 groups of 555 students who will shoot basket and remaining 444 students who will climb the rock wall.
Hence, 444 students will climb the rock wall.
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I need help that’s it
Answer:
x-intercept(s): (−5,0)
y-intercept(s): (0,−5)
Explanation:
To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.
Im also in K12 so Ez Good Luck
Hope this helped!
I need this by tonight would be appreciated. :) I know this is basic stuff I'm in Middle School but when I signed up for this there wasn't a middle school option.
The area of the floor of the convenience store would be = 212.5 ft²
What is the area of an object?The area of an object is defined as the total space that is being occupied by that object.
To calculate the area of the convenience store is to find the area of the shaded part which would be = area of square - area of the triangle.
Area of square = l ×w = 15 × 15 = 225ft²
Area of triangle= 1/2 base ×height
= 1/2 × 5 × 5
(Note: 15 - 10 = 5 ft from the diagram used as base and height)
= 25/2
= 12.5 ft²
The area of the convenience store;
= 225 - 12.5
= 212.5 ft².
Therefore, the area that is covered by the convenience store should be = 212.5ft².
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PLEASE HELP!!!Which is an equation in point-slope form for the line that passes through the points (−1,4) and (3,−4)?
100 POINTS!!!!!
Answer:
y - 4 = - 2(x + 1)-------------------------
GivenPoints (-1, 4) and (3, - 4)Find the slopem = (- 4 - 4)/(3 - (-1)) = - 8/4 = - 2Use one of the points and the point-slope formy - y₁ = m(x - x₁)y - 4 = - 2(x - (-1)) ⇒ y - 4 = - 2(x + 1)what is the value of m and n?
The value of m is 36 degrees and the value of n is 27 degrees
Consider the triangle on right side
Two sides of the triangle is equal, therefore it is an isosceles triangle.
One angle of the triangle = 126 degrees
Other two angles of the triangle is equal
The sum of interior angles of the triangle is 180 degrees
Then, the equation will be
126 + n + n = 180
2n + 126 = 180
2n = 180 - 126
2n = 54
n = 54/2
n = 27 degrees
Consider the full triangle
The equation will be
(m +27) + 90 +27 = 180
m + 27 + 90 + 27 = 180
m + 144 = 180
m = 180 - 144
m = 36 degrees
Hence, the value of m is 36 degrees and the value of n is 27 degrees
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Find the exact value of cosine (alpha beta) given sin alpha = two-fifths for alpha in quadrant ii and cosine beta = one-third for beta in quadrant iv. startfraction 8 startroot 2 endroot startroot 15 endroot over 15 endfraction startfraction 4 startroot 2 endroot startroot 21 endroot over 15 endfraction startfraction 4 startroot 2 endroot minus startroot 21 endroot over 15 endfraction
The exact value for cos (α+β) is √21/25- 4√2/15, for the given quadrants II and IV
we know that cos (α+β)) = cos α cos β - sin α sin β, we are given the values of sin α=2/5 and cos β= 1/3 ( both are positive for quadrant 2 and 3). Since we know cos² a + sin² a = 1
for α, cos² α + sin² α = 1
=> cos² α = 1 - sin² α
=> cos² α = 1 - 4/25
=> cos α = √21/25
same for β, cos² β + sin² β = 1
=> sin² β = 1 -cos² β
=> sin² β = 1 -1/9
= 8/9
=2√2/3
substituting the known values in the above formula for cos (α+β)
=>cos α cos β - sin α sin β
=√21/25 *1/3- 2/5*2√2/3
=√21/25- 4√2/15
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Answer:
d. [tex]\frac{4\sqrt{2}-\sqrt{21} }{15}[/tex]
Step-by-step explanation:
The lovely person in the comments was correct on Edge so i decided to put it as an answer in case anyone was looking for it!
Have a lovely day!
Assuming that no questions are left unanswered, in how many ways can a nine question
true false quiz be answered?
The number of ways that a nine question true false quiz can be answered is; 512 ways
What is the number of ways of answering?
We are given;
Number of questions = 9
Options for each answer = 2 (True of false)
The power set is defined as the number of subsets of a set of n elements which is expressed as 2ⁿ
There are 2 ways to answer question 1 and as such it means that there are 2 ways to answer question 2.
For question 2; 2² = 4 ways
For question 3; 2³ = 8 ways
For question 4; 2⁴ = 16 ways
For question 5; 2⁵ = 32 ways
For question 6; 2⁶ = 64 ways
For question 7; 2⁷ = 128 ways
For question 8; 2⁸ = 256 ways
For question 9; 2⁹ = 512 ways
Thus we we conclude that, there are 512 ways to answer 9 true-false tests.
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WXYZ is a kite. ∠WXY has a measure of 94° and ∠ZWX has a measure of 112°. Find the measure of ∠ZYW.
well, we know WXYZ is a kite, so is a quadrilateral, namely it has 4 sides, and it has two congruent angles, so
[tex]\underset{in~degrees}{\textit{sum of all interior angles}}\\\\ S = 180(n-2) ~~ \begin{cases} n=\stackrel{number~of}{sides}\\[-0.5em] \hrulefill\\ n=4 \end{cases}\implies S=180(4-2)\implies S=360 \\\\[-0.35em] ~\dotfill\\\\ 94+94+112+\measuredangle ZYW=360\implies \implies \measuredangle ZYW=60[/tex]
Check the picture below.
The cost of mailing a package is proportional to the weight of the package. The proportional relationship can be represented with the equation c = 0.8w, where c represents the total cost and w represents weight in ounces. A graph for the equation is shown. graph with x axis labeled weight in ounces and y axis labeled cost in dollars, with a line from 0 comma 0 going through 2 comma 1.6 Which of the following statements is true about the graph shown?
The correct statement regarding the proportional relationship c = 0.8w is given as follows:
The equation c = 0.8w is correctly represented by the graph.
What is a proportional relationship?A proportional relationship is a special case of a linear function, with slope represented by the constant of proportionality of k and intercept of 0.
When the two variables x and y are direct proportional, the output variable y is obtained as the multiplication of the input variable x by the constant of proportionality k, as follows:
y = kx.
In this problem, the equation is given as follows:
c = 0.8w.
In which:
c is the cost in dollars -> output -> y-axis of the graph.w is the weight in ounces -> input -> x-axis of the graph.For a input of 2, the output is given as follows:
c = 0.8 x 2 = 1.6.
Hence point (1,0.8) is in the graph, along with point (2,1.6).
Missing InformationThe statements are given as follows:
The equation c = 0.8w is correctly represented by the graph.The graph is incorrect and the line should go through the point (0.8, 1).The x-axis and y-axis are labeled incorrectly.The graph does not show a proportional relationship.More can be learned about proportional relationships at https://brainly.com/question/10424180
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Please help. ill give brainliest
Answer:
I believe the answer is number 2, which is 20 degrees.
Step-by-step explanation:
When I plugged that number in for x for both of them I got the numbers 81 and 99. Added them together ad they made 180 degrees. Which makes them supplementary.
I need help with this
Answer:
Yes.
Step-by-step explanation:
To decide if these triangles are similar, we need to check 2 criteria. The first is that the angles are all the same as their corresponding angles on the other triangle, which is true. The second is to check if the sides are all in the same proportional relationship. To do this, we need to put 40/50, 40/50, and 16/20 to see if they simplify to the same fraction (which is the proportion.) 40/50 and 40/50 simplify to the same fraction, 4/5. 16/20 also simplifies to 4/5, so the sides are all in the same proportion, which means the shapes are similar.
Example of a slope intercept form equation with a negative slope and y-intercept of 0
Answer:
An example would be y = -x.
Step-by-step explanation:
Since the y-intercept is 0, we don't have to write it out. The slope has to be negative, so I chose -1 as the slope. We don't have to write 1 when we use it as a coefficient, so that is why I wrote it as -x. Now to put it all together in slope intercept form, we get y = -x.
Hope this helps.
Give brainliest please
Let's find 1/10 + 1/2
First write the addition so the fractions have denominator 10. Then add
Answer:
3/5
Step-by-step explanation:
Given problem,
→ (1/10) + (1/2)
Let's solve the problem,
→ (1/10) + (1/2)
→ (1/10) + (5/10)
→ 6/10
→ 3/5 {simplest form}
Thus, answer is 3/5.
Which of the following statements is true?
25 : 35 = 45 :55 =
105 : 30 = 49 : 64 =
45 : 48 = 60 : 64 =
2/3 : 7/9 = 3/4 : 5/6 =
4.2 : 12.6 = 1.5 : 4.5 =
12 : 18 = 28 : 12 =
Answer:
3
Step-by-step explanation:
45*64=2880
48*60=2880
how many ways are there to seat four of a group of ten people around a circular table where two seatings are considered the same when everyone has the same immediate left and immediate right neighbor?
The number of ways which are there to seat four of a group of ten people around a circular table is 1260.
To choose 4 people from a group of ten we need to count such people, which can be found using 10! / 4! × (10-4)! , after solving this we need to multiply 3! by this to get the desired answer. This is done because for that 4 people to sit in a circle, the possibilities for n people to sit around a circle is (n-1)! , and since n here is 4 the possibilities will also be (4-1)! which is 3! here.
Hence the final answer: 3! × 10! / 4! × (10-4)! = 1260
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Factorise a squared - a -20
Answer:
(a-5)(a+4)
Step-by-step explanation:
[tex]a^{2}[/tex]-a-20
[tex]a^{2}[/tex]+4a-5a-20
a(a+4) -5(a+4)
(a-5)(a+4)
y=½x+4 solve this slope
Answer:
Slope: [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
The slope-intercept form is y = m x + b , where m is the slope and b is the y-intercept.
The expression given is already in slope intercept form. In this case [tex]m=\frac{1}{2}[/tex]
Therefore the slope is [tex]\frac{1}{2}[/tex]
Answer:
slope = [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = [tex]\frac{1}{2}[/tex] x + 4 ← is in slope- intercept form
with slope m = [tex]\frac{1}{2}[/tex]
Convert 90°F into °C
Answer:
32.2222
Step-by-step explanation:
Answer: 32.22 degrees Celsius.
Part A: Timothy said that triangle KLM was dilated by a scale factor of 1.5 centered at the origin. Is Timothy correct? Explain your answer or show your work by listing the coordinates of the primage and image and showing the scale factor
Part B: Are the two triangles similar? Explain.
a. Timothy is correct regarding the dilation, considering the vertices of each triangle.
b. The two triangles are similar, as they have congruent angle measures.
What is a dilation?A dilation occurs when each of the vertices of a polygon is multiplied by a constant, which is called scale factor.
The effects of a dilation are given as follows:
Congruence is lost, as the side lengths will be different due to the multiplication by the scale factor.Similarity is kept, as the side lengths are proportional, hence the angles remain constant.The vertices of each triangle in this problem are given as follows:
Triangle KLM: K(-1,3), L(8,4) and M(10,-3).Triangle K'L'M': K'(-1.5, 4.5), L'(12, 6) and M'(15, -4.5).The scale factor is obtained by the division of any of the equivalent factors, hence:
k = 4.5/3 = 1.5.
Confirming that Timothy's statement regarding the scale factor of the dilation is correct.
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Please answer this
This is very hard for me and my friend
The value of x is 10.6 which is equivalent to 11.
In the given triangle
the triangle is divided into two triangles which are both right angled
However in the bigger triangle
we would use the Pythagoras Theorem
( y + 6 )² = x² + 100 ---------- equation 1
In the smaller triangle;
x² = y² + 64 --------------equation 2
Thus substituting the value of x in equation 1
Thus the equation becomes
( y + 6 )² = y² + 64 + 100
y² + 36 + 12x = y² + 164
Cancelling y² on both sides we will get
36 + 12x = 164
12x = 164 - 36
this implies 12 x = 128
x = [tex]\frac{128}{12}[/tex]
x = 10.6 ≈ 11
Thus the required value of x is 10.6 or 11
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The attendance at an amusement park in a month of july was 178,383.What is the attendance rounded to the nearest thousand
Answer:
178 000
Step-by-step explanation:
178 383 8 is in the thousands place...if the number next to it (3) is ≥ 5 round it up by 1 o/w leave it alone
Answer:
178,000
Step-by-step explanation:
It's 178,000 because the number in front of the 8 in 178,383 was under five so the number dropped.
What is the inverse of [tex]f(x) = \sqrt{3x - 2}[/tex] for [tex]x \geq \frac{2}{3}[/tex]
Answer:
[tex]f^{-1}(x)=\cfrac{x^2+2}{3}[/tex]============
Given function[tex]f(x)=\sqrt{3x-2}[/tex]Find its inverse, substitute x with y and f(x) with x[tex]x=\sqrt{3y-2}[/tex][tex]x^2=3y-2[/tex][tex]3y=x^2+2[/tex][tex]y=\cfrac{x^2+2}{3}[/tex]The inverse of f(x) is[tex]f^{-1}(x)=\cfrac{x^2+2}{3}[/tex]I need help it’s due by 11:59pm
I need
Range=
Domain=
Answer:
Range: [tex]\text{y} \ge 0[/tex]
Domain: [tex]\text{x} \ge 0[/tex]
Both involve "greater than or equal to 0".
==============================================
Explanation:
The domain is the set of allowed inputs (x). The smallest input allowed in this case is x = 0, as it corresponds to the left-most point (0,0) on the blue graph. There is no largest x value since it stretches forever to the right.
Either x = 0 or x > 0 which condenses to [tex]\text{x} \ge 0[/tex] and this is the domain as an inequality.
--------
The range will have us look at the possible y values or possible outputs. We have y = 0 as the smallest output possible, which corresponds to the lowest point (0,0).
There is no largest y value since the blue graph goes forever upward.
Either y = 0 or y > 0 to give us the range of [tex]\text{y} \ge 0[/tex]
Two integers, a and b, have a product of 20. What is the least possible sum? pls help lol
The least possible sum wen the integers, a and b, have a product of 20 is 9.
How to calculate the sum?From the information given, two integers, a and b, have a product of 20. It should be noted that the values that an give a product of 20 will be:
1 × 20 = 20
2 × 10 = 20
4 × 5 = 20
Therefore, the sum of the factors will be:
1 + 20 = 21
2 + 10 = 12
4 + 5 = 9
The least possible sum is 9.
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Multiply 12. 462 by 13.
Answer:
162.006
Step-by-step explanation:
4X-3(x-2)=2(3x-2) I really need help on this one
if the least-squares line provides a reasonable model for the data, the pattern of points in the plot will seem random and unstructured about the horizontal line at . is this the case for the residual plot?
Yes. The residuals' distribution pattern resembles a haphazard dispersion around the horizontal line at 0.
The horizontal plot in this instance comprises points that are unstructured and randomly dispersed around the horizontal mean line.
These are also points below the mean above the mean. This shows that some points in the distribution of data points are above and some are below the least square line, which crosses through the distribution.
The least-square line model would not produce adequate results if, in a residual plot, the majority of the data points are located roughly in a straight line or on either side of the horizontal line.
A residual plot must have data points randomly distributed on both sides of the horizontal mean line in order to produce good results.
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COMPLETE QUESTION:
if the least-squares line provides a reasonable model for the data, the pattern of points in the plot will seem random and unstructured about the horizontal line at 0. is this the case for the residual plot?
a house is 13 ft tall. its shadow is 20 ft long at the same time the shadow of a nearby building is 170 ft long. find the height of the building.
The height of the building after using proportion is 110.5 ft.
What is proportion ?
The main conceptual underpinnings on which proportion is described are ratio and fractions. When two ratios are written as a fraction using the formula a/b, ratio a:b, and then a proportion, they are equal. A and b in this situation can be any two integers. For grasping the myriad concepts in science and mathematics, the ratio and proportion are crucial constructing elements. With the right amount of proportion, a variety of problems in daily life, such as those encountered in the kitchen or in business when processing transactions, can be resolved. It facilitates comparison by establishing a relationship between two or more quantities.
Here House height = 13ft
Shadow of the house height = 20 ft
Shadow of the building height = 170ft
Noe using proportion ,
=> [tex]\frac{House height}{shadow of the house} = \frac{building height}{shadow of the building}[/tex]
=> [tex]\frac{13}{20} = \frac{x}{170}[/tex]
=> x=[tex]\frac{13*170}{20}[/tex] =110.5 ft.
Hence the height of the building is 110.5 ft tall.
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Examine the equation below used for determining the balance on a bank account. Look through this chapter and your notes to help you write a problem that could be modeled by the equation.
The balance on the bank account at the end of the third quarter of the year is 2,630.80
How to find the compound interest?
Compound interest is defined as the interest calculated on the principal and the interest accumulated over the previous period.
Compound interest is found using the formula
A=P(1+r/n)ⁿˣ where:
A= Amountr= interest raten= number of interest applied per period and x= number of time periodTherefore, the amount (A)=2630.80
The P=2500
interest rate is 0.17%
Number of interest applied per period is 365 periods and
number of time period is 3.
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37, 38, 39, and 40 show that the series is convergent. how many terms of the series do we need to add in order to find the sum to the indicated accuracy?
In order to find the sum to the indicated accuracy we need to add
5 terms as the series is said to be convergent.
Given Series is Σ(-1/3)^n / n where error is less than 0.0005
= Σ (-1)^n / n3^n
For this series, we will use ratio test
if [tex]\lim_{n \to \infty} |an + 1 / an |[/tex] = L < 1 then series in convergent,
Let an = (-1)^n / n3^n , an+1 = (-1)^n+1 / (n+1)3^n+1
[tex]\lim_{n \to \infty} |an + 1 / an |[/tex] = [tex]\lim_{n \to \infty} | ((-1)^n+1 / (n+1)3^n+1)(n3^n/(-1)^n) |[/tex]
By solving we get,
[tex]\lim_{n \to \infty} |an + 1 / an |[/tex] = 1/3 < 1
Then given series is convergent.
By alternating series estimation theorem we have,
|Rn|=|S-Sn| <= an+1
an+1 <= 0.0005
1 / (n+1)3^n+1 <= 0.0005
(n+1)3^n+1 >= 2000
2 * [tex]3^{2}[/tex] >[tex]\neq[/tex] 2000 (n=1)
4 * [tex]3^{4}[/tex] >[tex]\neq[/tex] 2000 (n=3)
6 * [tex]3^{6}[/tex] >= 200 (n=5)
So required terms is n=5
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