Answer:
Read below !!
Step-by-step explanation:
Since you are already given the full equation, you would just follow the steps of plotting a line! I start usually by plotting the y-intercept, which is always on the y-axis. In this case, that would be -4 ! You mark -4 on the line, and from there, you would use RISE/RUN to find out the slope of the line. Since it's 2/3, you would rise 2, and go to the right 3, all from the point -4. You should do that about two times in order to get your line !!
I hope this helps !!
a car tire has a radius of 10.4 inches what distance will the tire travel after 20 rotations
Answer:
is A
Step-by-step explanation:
Three friends, Jessa, Tyree, and Ben, are collecting canned food for a culinary skills class. Their canned food collection goal is represented by the expression 9x2 − 3xy + 5. The friends have already collected the following number of cans:
Three friends, Jessa, Tyree, and Ben, are collecting canned food for a culinary skills class. Their canned food collection goal is represented by the expression 9x2 − 3xy + 5. The friends have already collected the following number of cans:
Jessa: 5xy + 2
Tyree: 6x2 − 5
Ben: x2
Part A: Write an expression to represent the amount of canned food collected so far by the three friends. Show all your work. (5 points)
Part B: Write an expression that represents the number of cans the friends still need to collect to meet their goal. Show all your work. (5 points)
As per the given data, the expression that represents the number of cans the friends still need to collect to meet their goal is 2\(x^2\) - 8xy + 8.
To find the total amount of canned food collected by the three friends, we need to add up the number of cans collected by each friend. Therefore, the expression to represent the total amount goal of canned food collected is:
\((5xy + 2) + (6x^2 - 5) + x^2\)
Simplifying the expression by combining like terms, we get:
\(7x^2 + 5xy - 3\)
To find the number of cans the friends still need to collect to meet their goal, we need to subtract the total amount of canned food collected by the three friends from the collection goal expression given as:
\(9x^2 - 3xy + 5 - (7x^2 + 5xy - 3)\)
Simplifying the expression by combining like terms, we get:
\(2x^2 - 8xy + 8\)
Therefore, the expression that represents the number of cans the friends still need to collect to meet their goal is \(2x^2 - 8xy + 8.\)
For more details regarding collection goal, visit:
https://brainly.com/question/2142474
#SPJ1
What is a corresponding angle?
Answer:
the angles which occupy the same relative position at each intersection where a straight line crosses two others. If the two lines are parallel, the corresponding angles are equal
Answer:
I was taught like this.
Corresponding has emphasis on the word pond
Fish live in a pond
Therefore, it has to be an angle F
What is the equation of the line with slope 3/5 through the point (20, 6)?
Write a problem in words that can represent this equation: 13x + 26 = 91
Answer:
Ellie wants to buy perfumes and each are $13 and she has a candle in her cart that is $26. How many bottles of perfume can she buy if she only has $91?
i performed a hypothesis test, and my p-value cutoff (significance level) was 1%. what's the chance that my test will incorrectly reject the null hypothesis? a. 1% b. 95% c. 99% d. not enough information to determine e. 5%
The chance that a hypothesis test will incorrectly reject the null hypothesis when the p-value cutoff is 1%. The correct option is A.
What is a hypothesis test?A hypothesis test is used to test the validity of a hypothesis by calculating the probability that a sample statistic occurred by chance.
The null hypothesis is the hypothesis that is being tested, and it is usually assumed to be true unless there is evidence to the contrary.
The p-value is the probability of obtaining a sample statistic at least as extreme as the one observed, assuming the null hypothesis is true. If the p-value is less than the significance level, which is the p-value cutoff chosen by the researcher, then the null hypothesis is rejected.
If the p-value is greater than or equal to the significance level, then the null hypothesis is not rejected. The p-value cutoff is the significance level chosen by the researcher, and it represents the maximum probability of rejecting the null hypothesis when it is actually true.
In this case, the p-value cutoff is 1%, which means that the maximum probability of rejecting the null hypothesis when it is actually true is 1%. Therefore, the chance that a hypothesis test will incorrectly reject the null hypothesis when the p-value cutoff is 1%.
Therefore, the correct option is A.
Learn more about hypothesis test here:
https://brainly.com/question/30588452
#SPJ11
simplify: (2x-3)(5x+1)
Answer:
\(\huge\boxed{\sf 10x^2-13x-3}\)
Step-by-step explanation:
\(=(2x-3)(5x+1)\\\\=2x(5x+1)-3(5x+1)\\\\Distribute\\\\= 10x^2+2x-15x-3\\\\= 10x^2-13x-3\\\\\rule[225]{225}{2}\)
assume condition one has two values, condition two has five values, condition three has three values, and condition four has two values; the number of rules required for the decision table is sixty. T/F
False. assume condition one has two values, condition two has five values, condition three has three values, and condition four has two values; the number of rules required for the decision table is sixty.
The number of rules required for a decision table can be calculated by multiplying the number of values in each condition. In this case, condition one has two values, condition two has five values, condition three has three values, and condition four has two values. The total number of rules would be the product of these values: 2 x 5 x 3 x 2 = 60.
Therefore, the statement "the number of rules required for the decision table is sixty" is true.
Know more about decision table here:
https://brainly.com/question/30629177
#SPJ11
80ptssss!!!Which solution for the value of x in the figure below is incorrect? Explain.
Answer: B is incorrect
we can find the angle beside the angle ( 4x -2 ) which will be 180° - (4x -2) = ( 182 -4x )° ...................................as lies on a straight line summing up 180°
now we can find x°
by
3x + 6 + ( 182 -4x )° = 180° .............both sides sum up to 180°
3x - 4x - 188 = 180°
-x° = 180 - 188°
-x = -8
x = 8°
We can thus confirm the x value will be 8° and B is wrong and A correct.
Option A (Verification)
Statement: 4x - 2 = 3x + 6Check:
=> 4x - 3x = 2 + 6=> x = 8The statement given is true because when we compare the LHS and the RHS, which are equal, it will give us the value of x.
__________________________________________________Option B (Verification)
Statement: 4x - 2 + 3x + 6 = 180The statement given is false because 4x - 2 and 3x + 6 equal each other and, if added, it won't give 180. Hence, Option B is our answer.
__________________________________________________We can now conclude that Option B is the answer.
Hoped this helped.
\(BrainiacUser1357\)
Use the box method to distribute and simplify (-6x+5)(-6x-6).(−6x+5)(−6x−6). Drag and drop the terms to the correct locations of the table.
The simplification of the given equation is -36x² - 66x - 30
What is equation?
Equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.
Given that,
The equation is (-6x-5)(-6x+6).
The calculation is as follows:
(-6x-5) x(-6x+6)
36x² -36x- 30x - 30
=-36x² - 66x - 30
Learn more about equation here: brainly.com/question/17145398
#SPJ1
Blake gives piano lessons in the evenings. He earns $20 for each piano lesson and has between 0 and 6 lessons each evening. The amount he earns in an evening depends on the number of lessons he gives. What is the range of this relation?
Answer:
The correct answer is B. {0, 20, 40, 60, 80, 100, 120}
Step-by-step explanation:
1. Let's check all the information given to answer this question correctly:
Rate of each piano lesson Blake gives = US$ 20
Blake can give between 0 and 6 lessons every evening
Earnings = Number of lessons * Rate of each lesson
2. What is the range of this relation?
Let's recall that the domain of a relation is the set of all values for which the relation is defined, and the range of the relation is the set of all values that the relation takes.
It means that the domain of the relation in this case is the number of lessons that Blake can give every evening:
{0, 1, 2, 3, 4, 5, 6}
And the range of this relation is the amount Blake earns in an evening depending on the number of lessons he gives:
{0, 20, 40, 60, 80, 100, 120}
The correct answer is B. {0, 20, 40, 60, 80, 100, 120}
HELP ME PLEASE I NEED THE ANSWERS ASAP. geometry
Answer:
\(6\pi\), 6pi
Step-by-step explanation:
The area of the full circle would be \(\pi *4^{2}\), which is \(16\pi\)
A full circle is 360 degrees. Since we are only taking a part of that, 135, we would put it in a fraction. \(\frac{135}{360}\)
Last, multiply 16pi and 135/360 since we are taking a part of 16pi.
\(16\pi *\frac{135}{360}\)
\(\frac{2160\pi}{360}\)
\(6\pi\)
a+c=r+d solve for a, answer please :(
Answer:
a = r + d - c
Step-by-step explanation:
a + c = r + d
You want a alone on the left side. c is being added to a.
To get rid of the c, you must subtract c from the left side, but the rule of equations is that you must do the same operation to both sides of the equation. We subtract c from both sides of the equation.
a + c - c = r + d - c
c - c = 0, so the c is eliminated from the left side.
We now have
a + 0 = r + d - c
a = r + d - c
Answer:
a = r + d - c
Step-by-step explanation:
All we do is transpose c to the other side to isolate a.
Help me please help me
Answer:
h=5/18
Step-by-step explanation:
Hi there!
If you try to solve 1/2-h=2/9 for h immediately, you will find that you cannot because the denominator is odd for 2/9. Multiply 2 for the numerator and the denominator to get 4/18. Now we have 1/2-h=4/18. Multiply the numerator and denominator by 9 to get 9/18-h=4/18. H=5/18.
Answer:
\(\boxed{h=\dfrac{5}{18}}\)
Step-by-step explanation:
\(\textsf {$\dfrac{1}{2} - h$ = $\dfrac{2}{9}$}\)
1. Subact \(\dfrac{1}{2}\) from both sides:
\(\textsf {$\dfrac{1}{2} - h$ = $\dfrac{2}{9}$}\\\\\textsf {$\dfrac{1}{2}-\dfrac{1}{2} - h$ = $\dfrac{2}{9} -\dfrac{1}{2}$}\\\\\textsf {$-h$ = $\dfrac{4-9}{18}$}\\\\\textsf {$-h$ = $\dfrac{-5}{18}$}\)
2. Divide both sides by -1
\(\textsf {$-h$ = $\dfrac{-5}{18}$}\\\div -1 \div-1\\\\ \boxed{h=\dfrac{5}{18}}\)
Final answer: \(\boxed{h=\dfrac{5}{18}}\)
Hope this helps!
Which digit is in the hundredths place in 35.714?
Answer:
1
Step-by-step explanation:
What is the missing 7th term of this sequence? -2.5, -10, -40,
Answer:
-10240
Step-by-step explanation:
-2.5, -10, -40, -160, -640, -2560, -10240
in a circle, a sector with central angle is 225 degrees intercepts an arc of length 30pi in. find the diameter of the circle
The diameter of the circle is approximately 60 inches.
To explain further, we can use the formula relating the central angle of a sector to the length of its intercepted arc. The formula states that the length of the intercepted arc (A) is equal to the radius (r) multiplied by the central angle (θ) in radians.
In this case, we are given the central angle (225 degrees) and the length of the intercepted arc (30π inches).
To find the diameter (d) of the circle, we need to find the radius (r) first. Since the length of the intercepted arc is equal to the radius multiplied by the central angle, we can set up the equation 30π = r * (225π/180). Simplifying this equation gives us r = 20 inches.
The diameter of the circle is twice the radius, so the diameter is equal to 2 * 20 inches, which is 40 inches. Therefore, the diameter of the circle is approximately 60 inches.
In summary, by using the formula for the relationship between central angle and intercepted arc length, we can determine the radius of the circle. Doubling the radius gives us the diameter, which is approximately 60 inches.
for such more questions on diameter
https://brainly.com/question/30460318
#SPJ8
HELP I NEED THIS ASAP
Answer:
Pretty sure you got it right cause that's what I got...maybe were both wrong ♀️
A salesperson at a jewelry store earns 7% commission each week. Last week, Heidi sold $450 worth of jewelry. How much did she make in commission? How much did the jewelry store make from her sales?
Answer:
Commission = $31.50
Jewelry Store made = $418.50
Step-by-step explanation:
Commission = sale price × commission %
Commission = $450 × .07
Commission = $31.50
Jewelry Store made = Sale price - the commission price
Jewelry Store made = $450 - $31.50
Jewelry Store made = $418.50
Verify the equation: n(A∪B)=n(A)+n(B) For the given disjoint set A={a,e,i,o,u} and B={g,h,k,l,m}
This is true, we can verify that the equation n(A∪B)=n(A)+n(B) holds for the given disjoint sets A={a,e,i,o,u} and B={g,h,k,l,m}.
Since A and B are disjoint sets, meaning they have no common elements, we can say that A∩B=∅. Therefore, the equation n(A∪B)=n(A)+n(B) becomes:
n({a,e,i,o,u,g,h,k,l,m}) = n({a,e,i,o,u}) + n({g,h,k,l,m})
Counting the elements, we see that n({a,e,i,o,u,g,h,k,l,m})=10, n({a,e,i,o,u})=5, and n({g,h,k,l,m})=5.
Substituting these values back into the equation, we get:
10 = 5 + 5
Hi! To verify the equation n(A∪B) = n(A) + n(B) for the given disjoint sets A = {a, e, i, o, u} and B = {g, h, k, l, m}, we first need to find the union of sets A and B.
Since A and B are disjoint (meaning they have no elements in common), the union of A and B, denoted as A∪B, simply combines the elements of both sets. So, A∪B = {a, e, i, o, u, g, h, k, l, m}.
Now, let's find the number of elements (n) in each set:
n(A) = 5 (as there are 5 elements in set A)
n(B) = 5 (as there are 5 elements in set B)
n(A∪B) = 10 (as there are 10 elements in the union of A and B)
Now, we can verify the equation:
n(A∪B) = n(A) + n(B)
10 = 5 + 5
The equation holds true for the given disjoint sets A and B.
Learn more about disjoint sets here
https://brainly.com/question/28165517
#SPJ11
Fill in the blanks.
To sketch the graph of a secant or cosecant function, first make a sketch of its corresponding _____ function.
To sketch the graph of a secant or cosecant function, first make a sketch of its corresponding cosine or sine function, respectively.
The secant function (sec(x)) is the reciprocal of the cosine function (cos(x)), while the cosecant function (csc(x)) is the reciprocal of the sine function (sin(x)). By graphing the corresponding cosine or sine function, we can identify the key features of the function such as the amplitude, period, and phase shift. These features will be reflected in the graph of the secant or cosecant function.
To obtain the graph of the secant function (sec(x)), we take the reciprocal of the y-values of the cosine function (cos(x)). Wherever the cosine function has a value of zero, the secant function will have a vertical asymptote. The secant function will have maximum and minimum points at the peak and trough points of the cosine function.
Similarly, to obtain the graph of the cosecant function (csc(x)), we take the reciprocal of the y-values of the sine function (sin(x)). Wherever the sine function has a value of zero, the cosecant function will have a vertical asymptote. The cosecant function will have maximum and minimum points at the peak and trough points of the sine function.
To know more about cosecant function,
https://brainly.com/question/12895525
#SPJ11
can someone please help me
1. △ABC was transformed using two rigid transformations.
a. Compare all of the corresponding parts (angles and sides) of the image and preimage. Describe the results.
b. Explain why the results are true.
2. A triangle has six parts (three angles and three sides). Suppose you have two triangles that you want to prove are congruent, but you don't know the rigid transformations that map one triangle to the other.
a. How do you think you can prove the two triangles are congruent without using rigid transformations?
b. Suppose one of your classmates thinks they can prove the triangles are congruent by proving only two pairs of corresponding parts congruent. How would you respond to this classmate?
The corresponding parts are:
<A = <A' = <A"<B = <B' = <B"<C = <C' = <C"AB = A'B' = A"B"AC = A'C' = A"C"BC = B'C' = B"C"How to compare the sidesThe statement is given as:
△ABC was transformed using two rigid transformations.
The rigid transformations imply that:
The images of the triangle after the transformation would be equal
So, the corresponding parts are:
<A = <A' = <A"<B = <B' = <B"<C = <C' = <C"AB = A'B' = A"B"AC = A'C' = A"C"BC = B'C' = B"C"Why the results are true?The results are true because rigid transformations do not change the side lengths and the angle measures of a shape
How to prove that two triangles are congruent without using rigid transformations?To do this, we simply make use any of the following congruent theorems:
SSS: Side Side SideSAS: Side Angle SideAAS: Angle Angle SideHow to respond to this classmate?The classmate's claim is that
Only two pairs of corresponding parts are enough to prove the congruent triangle
The above is true because of the following congruent theorems:
SSS: Side Side SideSAS: Side Angle SideRead more about congruent theorems at
https://brainly.com/question/2102943
#SPJ1
Answer:
Step-by-step explanation:
Which one ?
A. B. C. or D?
Answer:
ummm...............
A car completes a journey at an average speed of 40 km/h. At what speed must it travel on the return journey if the average speed for the complete journey (out and back) is 60 km/h?
quickly please!
The answer average speed is120KM/h
What is speed?
The speed of an object, also known as v in common parlance and kinematics, is the size of the change in position per unit of time or the size of the change in position over time; as such, it is a scalar quantity.The average speed of an object in a given period of time is equal to the distance travelled by the object divided by the length of the intervalthe instantaneous speed is the upper limit of the average speed as the length of Velocity and speed are different concepts.
Given in the question a car travels in 40Km/h
Total distance will be 's' = speed * time.
The total round trip avg speed is 60km/h
So time is taken to reach = s/40 hr
And time is taken to return back = s/x hr
The total time is given = 2s/60
We can write 2s/60 = s/40+s/x
⇒ 1/x = 1/30-1/40
⇒1/x = 1/120
⇒x = 120 KM/hour
Hence the, the average speed in the return journey is 120KM/hour.
Learn more about average speed, by the following link.
https://brainly.com/question/4931057
#SPJ1
Find the slope of the line that passes through the points A(-3, 1) and B(2, -5).
Answer:
\(m = \frac{ - 5 - 1}{2 - ( - 3)} = - \frac{6}{5} \)
Ellora wants to accumulate $150000.00 in an RRSP by making annual contributions of $5000.00 at the beginning of each year. If interest is 5.5% compounded quarterly, calculate how long she has to make contributions.
a. 18.202125
b. 18.676765
c. 17.455483
d. 17.585794
e. 18.076686
Option A is the correct answer. Ellora wants to accumulate 150,000 in an RRSP by making annual contributions of 5,000 at the beginning of each year. If interest is 5.5% compounded quarterly, calculate how long she has to make contributions.
First, we have to find the interest rate per quarter, which will be
\(5.5% / 4\)= 1.375%.
The formula for the future value of an annuity is:
\(FV = (C * [(1 + r)^n - 1] / r)\),
For Ellora, \(FV = $150,000, C = $5,000, and r = 1.375%.\)
Substituting these values into the formula gives:
\(150,000 = 5,000 * [(1 + 0.01375)^n - 1] / 0.01375\)
Simplifying this equation gives:
\(30 = [(1.01375)^n - 1]\)
We can solve this using logarithms:
\(ln 30 = ln [(1.01375)^n - 1]\)
\(ln 30 = n * ln 1.01375 - ln 1.01375e^(ln 30) / e^(-ln 1.01375) = n18.202125 = n\)
Therefore, it will take Ellora 18.202125 years to accumulate 150,000 in her RRSP through \($5,000\)annual contributions made at the beginning of each year with interest of \(5.5%\) compounded quarterly.
To know more about compounded quarterly visit:-
https://brainly.com/question/29021564
#SPJ11
Y = –3x – 5 help I don’t know the answer please
Answer:
x=-5/3
Step-by-step explanation:
Add 5 to both sides to get 5=-3x.
Then divide by -3.
And get -5/3=x
Determine whether the following statement is true or false. Then, use complete sentences to explain your answer. If you wish, you may include an example or counterexample.
All parallelograms are trapezoids.
Answer:
False
Step-by-step explanation:
An acute angle can be scalene
Eg - 2 angles of 20 degrees , and 1 angle of 50 degre
HOPE THIS WILL HELP YOU
In circle
�
H,
�
�
=
6
HI=6 and the length of
�
�
⌢
=
4
�
IJ
⌢
=4π. Find m
∠
�
�
�
∠IHJ
In circle HI=6 and the length of IJ =4π. The measure of ∠IHJ is 60 degrees.
In a circle, the measure of an angle formed by a chord and a tangent at the point of contact is half the measure of the intercepted arc.
Given that IJ is a chord of the circle, and its length is 4π, we can determine the measure of the intercepted arc using the formula:
Arc length = (central angle / 360 degrees) * circumference of the circle
The circumference of the circle is 2π times the radius, and the radius is half the diameter. Since HI is given as 6, the diameter is 2 * 6 = 12. Therefore, the circumference is 2π * 6 = 12π.
Now, we can calculate the measure of the intercepted arc:
4π = (central angle / 360 degrees) * 12π
Simplifying the equation, we get:
4 = (central angle / 360)
To find the measure of the angle IHJ, we solve for the central angle:
central angle = 4 * 360 = 1440 degrees
Since the measure of ∠IHJ is half the measure of the intercepted arc, ∠IHJ = 1440 / 2 = 720 degrees.
However, angles in a circle are measured from 0 to 360 degrees, so we need to find the equivalent angle within this range:
720 - 360 = 360 degrees
Therefore, the measure of ∠IHJ is 360 degrees, or equivalently, 60 degrees.
To learn more about circumference click here
brainly.com/question/17130827
#SPJ11
Matthew was assigned 234 math problems over the weekend. He completed five times as many problems on Saturday than Sunday. How many math problems did Matthew solve on Saturday?
Answer:
\(195\)
Step-by-step explanation:
Let \(a\) represent the number of math problems Matthew solved on Sunday. From the problem, we know he solved \(5a\) problems on Saturday.
Therefore, we have:
\(5a+a=234,\\6a=234,\\a=39\)
Substitute \(a=39\) into \(5a\):
\(5(39)=\boxed{195}\)