Answer:
image doesn't showing up ........A teacher has a 2-gallon (32-cup) container of juice. She gives each student One-half cup of juice. Which equation represents the amount of juice that remains, y, after x students are served? a y = 32 x minus one-half b y = one-half x minus 32 c y = negative one-half x + 32 d y = negative 32 x + one-half
The equation represents the amount of juice that remains, y, after x students are served is y = negative one-half x + 32; option C
Equation of the unknownQuantity of juice = 2 gallon = 32 cupsQuantity given to each student = 1/2 cupNumber of juice remaining = yNumber of students served = xy = 32 - 1/2x
This can also be written as;
y = -1/2x + 32
Therefore, the correct answer is option C; y = -1/2x + 32
Learn more about equation:
https://brainly.com/question/4344214
#SPJ1
Select the number sentence that illustrates the associative property of addition.
A.
(2 + 3) + 4 = (3 + 2) + 4
B.
(2 × 3) × 4 = 2 × (3 × 4)
C.
(2 + 3) + 4 = 2 + (3 + 4)
D.
(2 × 3) + 4 = 2 + (3 × 4)
The expression (2 + 3) + 4 = 2 + (3 + 4) illustrates the associative property of addition option (C) is correct.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
As we know with the help of associative property we can group the terms of addition or multiplication.
a + (b + c) = (a + b) + c
Option (C)
= (2 + 3) + 4
After using the associative property:
= 2 + (3 + 4)
Thus, the expression (2 + 3) + 4 = 2 + (3 + 4) illustrates the associative property of addition option (C) is correct.
Learn more about the arithmetic operation here:
brainly.com/question/20595275
#SPJ1
Why might the t-test be more useful in actual practice when you are running statistics rather than a z-test? give an example of a situation where you might use each of these and label their pros and cons.
The t-test might be more useful in actual practice when standard deviation or variance is unknown.
What is a t-test?The t-test is used to determine how the averages of various data sets differ from one another.
When variance is not provided, the T-test, a particular kind of parametric test, is used to determine how the means of two sets of data differ from one another. When variance is provided, the Z-test indicates a hypothesis test that determines whether the means of two datasets differ from one another.
Example of t-test: If you flip a coin 1,000 times, for instance, you can discover that the outcome is distributed normally over all trials.
Example of z-test: We are conducting research using information gathered from cohorts of students who have taken Elementary Statistics in the past.
T-tests are typically more suitable when addressing issues with small sample sizes, whereas z-tests are suitable for large sample sizes.
Using the t-test for an ordinal variable, their frequency is not even close to a normal distribution, and the arithmetic mean offers an unsuitable measure of location.
Because we frequently don't know the population standard deviation, Z-Tests have this drawback.
Learn more about t-tests here:
https://brainly.com/question/6589776
#SPJ4
100 pints help would be greatly appreciated
Answer:
(4, -2) (see attached)
Step-by-step explanation:
Vector addition on a graph is accomplished by placing the tail of one vector on the nose of the one it is being added to. The negative of a vector is in the direction opposite to the original.
__
vector componentsThe components of the vectors are ...
u = (1, -2)
v = (-6, -6)
Then the components of the vector sum are ...
2u -1/3v = 2(1, -2) -1/3(-6, -6) = (2 +6/3, -4 +6/3)
2u -1/3v = (4, -2)
graphicallyThe sum is shown graphically in the attachment. Vector u is added to itself by putting a copy at the end of the original. Then the nose of the second vector is at 2u.
One-third of vector v is subtracted by adding a vector to 2u that is 1/3 the length of v, and in the opposite direction. The nose of this added vector is the resultant: 2u-1/3v.
The resultant is in red in the attachment.
The answer is (4, -2) hope this helps!
What is true about anglemsr? it must be acute. it must be a right angle. it must be equal to anglemrh. it must be equal to anglerms.
From the given diagram <msr is a right angle (equal to 90 degrees) and <mrh is acute since it is less than 90degrees.
Properties ofa rhombusThe given diagram is a rhombus that has the following properties
Opposite side are equalAll the sides are congruentThe opposite angles are equalThe sum of the adjacent angles are supplementaryFrom the figure shown, we can see that;
<msr is a right angle (equal to 90 degrees)
<mrh is acute since it is less than 90degrees.
Learn more on rhombus here: https://brainly.com/question/88523
#SPJ1
Answer:
A (it must be acute)
Step-by-step explanation:
please help asap!!!
Rewrite the following equation as a function of x.
Answer:
B
Step-by-step explanation:
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \rightarrow \:f(x)= 9280 - 20x [/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
[tex]\qquad \tt \rightarrow \: \cfrac{1}{16} x + \cfrac{1}{320} y - 29 = 0[/tex]
[tex]\qquad \tt \rightarrow \: \cfrac{1}{16} x + \cfrac{1}{320} y = 29[/tex]
[tex]\qquad \tt \rightarrow \: \cfrac{20 x+ y}{320} = 29[/tex]
[tex]\qquad \tt \rightarrow \: 20x + y = 29 \sdot320[/tex]
[tex]\qquad \tt \rightarrow \: y = 9280 - 20x[/tex]
[tex]\qquad \tt \rightarrow \: f(x) = 9280 - 20x[/tex]
[tex] \textsf{Correct option - A } [/tex]Answered by : ❝ AǫᴜᴀWɪᴢ ❞
Having exactly the same shape and size
Answer:
If two things have the same shape and size then they are congruent to one another. If they are only the same shape but not size, then they are similar.
If two things have the same shape and size then they are congruent to one another.
If they are only the same shape but not size, then they are similar.
Learn more about shape and size here:
https://brainly.com/question/29831201
#SPJ6
help me deadline today
Answer:
6
Step-by-step explanation:
The equation becomes 9 *4 * 1/6. Then you simplify and get 6.
Please mark me as Brainliest if it is correct, thx.
5. The mapping f: xax² + bx + c defined on the set of real numbers is such that f(0) = -4,f(1)-1 and/(-1)= -5. Find a, b and c. 5 . The mapping f : xax² + bx + c defined on the set of real numbers is such that f ( 0 ) = -4 , f ( 1 ) -1 and / ( - 1 ) = -5 . Find a , b and c .
It looks like you're saying
[tex]f(x) = ax^2 + bx + c[/tex]
and you're asked to find [tex]a,b,c[/tex] given [tex]f(0)=-4[/tex], [tex]f(1)=-1[/tex], and [tex]f(-1)=-5[/tex].
Evaluate [tex]f[/tex] at the three given points:
[tex]x=0 \implies f(0) = \boxed{c = -4}[/tex]
[tex]x=1 \implies f(1) = -1 = a + b + c \implies a+b = 3[/tex]
[tex]x=-1 \implies f(-1) = -5 = a - b + c \implies a - b = -1[/tex]
[tex](a+b) + (a-b) = 3 + (-1) \implies 2a = 2 \implies \boxed{a=2}[/tex]
[tex]a-b = -1 \implies \boxed{b=3}[/tex]
and the mapping is [tex]f(x) = 2x^2 + 3x - 4[/tex].
8. How do outliers affect the mean of a data set?
OIt does not change.
It depends whether the outlier is a high outlier or a low outlier.
It decreases.
It increases.
Answer:
it depends on whether the outlier is a high outlier or a low outlier
Step-by-step explanation:
The mean of a data set is the average of the data set. So if I had the data set {5, 2, 10} the average would be (5+2+10)/3 = 5.667. Now if I added an outlier like 10,000 it would increase the mean significantly. It changes it significantly but I cannot say whether it increases or decreases it without knowing the value of the outlier, since if I had the outlier -10,000 that would decrease the mean, but I had the outlier 10,000 it would increase it. So it depends on whether the outlier is a high outlier or a low outlier
Which of the following is a geometric sequence? A. 1, 1, 2, 3, 5, ... B. 2, 4, 6, 8, ... C. 7, 4, 1, -2, ... D. 1, ½, ¼, ⅛
A survey participant is randomly selected. Let F be the
event that the participant's first motor vehicle had four
cylinders and let C be the event that the participant's
first motor vehicle was a car. What is the value of PIF
The probability for event F or C is 0.80, or the value of the P(F or C) is 0.80 option (D) is correct.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
The question is incomplete.
The complete question is:
Insurance company executives surveyed 200 young adults about their first motor vehicle. The results of the survey are given in the following two-way table(please refer to the attached picture)
A survey participant is randomly selected. Let F be the event that the participant’s first motor vehicle had four cylinders and let C be the event that the participant’s first motor vehicle was a car. What is the value of P(F or C)?
A) 0.59B) 0.68C) 0.71D) 0.80We have to find the value of P(F or C):
[tex]\rm P( F \ or \ C) = \dfrac{118+6+18+16+2}{118+6+18+16+12+20+2+6+2}[/tex]
[tex]\rm P( F \ or \ C) = \dfrac{160}{200}[/tex]
P(F or C) = 0.80
Thus, the probability for event F or C is 0.80, or the value of the P(F or C) is 0.80 option (D) is correct.
Learn more about the probability here:
brainly.com/question/11234923
#SPJ1
What is the equation of the line that is parallel to y=x+4 and that passes through (5,–4)?
Answer:
y = [tex]\frac{1}{5}[/tex] x - 5
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}{5}[/tex] x + 4 ← is in slope- intercept form
with slope m = [tex]\frac{1}{5}[/tex]
• Parallel lines have equal slopes , then
y = [tex]\frac{1}{5}[/tex] x + c ← is the partial equation
to find c substitute (5, - 4 ) into the partial equation
- 4 = 1 + c ⇒ c = - 4 - 1 = - 5
y = [tex]\frac{1}{5}[/tex] x - 5 ← equation of parallel line
A variation on Momentary Time Sampling that involves counting the number of students in a classroom engaged in a target behavior at the designated time in the interval is known as
A variation on Momentary Time Sampling that involves counting the number of students in a classroom engaged in a target behaviour at the designated time in the interval is known as Planned Activity Check ( PLACHECK)
What is Momentary Time Sampling ?Momentary Time Sampling is a method of recording a student's behaviour ,
It helps in understanding clearly the regularity of a student.
This method is used when the behaviour cannot be easily counted or it is difficult for the teacher to focus to get the exact duration in which the student showed severity to the work.
In easy words , a timer is set and from the start to the end of the timer , it is observed whether the required goal is achieved or not and what is the frequency at which that task is being done in the time interval.
Planned Activity Check ( PLACHECK) is when Momentary Time Sampling is done with the group , It provides the measure of a group behaviour.
Therefore ,
A variation on Momentary Time Sampling that involves counting the number of students in a classroom engaged in a target behavior at the designated time in the interval is known as Planned Activity Check ( PLACHECK)
To know more about Momentary Time Sampling
https://brainly.com/question/10952691
#SPJ1
Natalie works in a toy shop and earns $43 per day. she earns an extra $3 for each toy she sells. if natalie wants to earn at least $70 per day, which inequality shows the minimum number of toys, n, that she should sell?
please help!!!!!!!
picture below
Hi everyone! I would be really glad if anyone could help me solve these step by step, I tried solving it on my own and viewing lessons, but I still don't understand. Thank you.
The equation of the function is f(x) = x(x + 2)(x -1)(x -3)
The function end behaviorFrom the graph, we have the following highlight:
As x increases, the function values increaseAs x decreases, the function values increaseThe above means that:
f(x) approaches positive infinity irrespective of the x value
Hence, the end behavior of the function is:
[tex]\mathrm{as}\:x\to \:+\infty \:,\:f\left(x\right)\to \:+\infty \:,\:\:\mathrm{and\:as}\:x\to \:-\infty \:,\:f\left(x\right)\to \:+\infty \:[/tex]
The sign of the leading coefficientSince, the function opens upward.
Then the sign of the leading coefficient is positive
The zeros of the functionThis is the point, where the graph crosses the x-axis.
From the graph, we have the zeros to be:
x = -2, x = 0, x = 1 and x = 3
Since the graph crosses the x-axis at this point, then the multiplicity of the zeros is 1
The equation of the functionIn (c), we have:
x = -2, x = 0, x = 1 and x = 3
Rewrite as:
x + 2= 0, x = 0, x - 1 = 0 and x - 3 = 0
Multiply these values
f(x) = x(x + 2)(x -1)(x -3)
Hence, the equation of the function is f(x) = x(x + 2)(x -1)(x -3)
Read more about polynomials at:
https://brainly.com/question/4142886
#SPJ1
What is the explicit formula for this sequence?
−7, −4, −1, 2, 5, …
The explicit formula for the sequence is 3n -10
What is an Arithmetic Sequence ?An arithmetic sequence is a series of terms which have common difference between its consecutive numbers.
The sequence given is
−7, −4, −1, 2, 5, …
The common difference between each term is d =3
-4-(-7) = 3
-1-(-4) =3
The nth term for a sequence is given by
[tex]\rm T_n = a +(n-1)d[/tex]
Here a is the first term = -7
n is the no. of terms = n
d is the common difference = 3
Therefore the equation will be
[tex]\rm T _n = -7 + (n-1) * 3[/tex]
[tex]\rm T _n[/tex] = -7 +3n -3
[tex]\rm T _n[/tex] = 3n -10
Therefore the explicit formula for the sequence is 3n -10 .
To know more about Arithmetic Sequence
https://brainly.com/question/15412619
#SPJ1
You have 200$ allocated for your gym membership. what is the maximum number of visits you can make with each membership??
The maximum number of visits you can make with each membership is 104.
What is gym membership?Gym membership refers to the cost to register, attend, and use a gym as a member for an agreed period.
Some gym memberships require one-time payments made monthly or annually.
Question Completion:Assume that the annual gym fee is $200 for Saturdays and Sundays only.
Thus, in this scenario, the maximum number of visits you can make with each membership is 104.
Learn more about gym membership at https://brainly.com/question/13846470
#SPJ1
If 9x+3=30, what is the value of 3x+1
9x + 3 = 30
9x = 27
x = 3
Then 3x + 1 = 3 * 3 + 1 = 10
[tex]9x + 3 = 30 \\ \\ 9x = 30 - 3 \\ \\ 9x = 27 \\ \\ x = \frac{27}{9} \\ \\ x = 3.[/tex]
putting x = 3 in 3x + 1
[tex]3x + 1 \\ \\ 3 \times 3 + 1 \\ \\ 9 + 1 \\ \\ 10.[/tex]
The value of 3x + 1 is 10.
Use the distance formula to find the perimeter of the triangle below. Round you answer to the nearest hundredth.
Answer: The perimeter of this triangle is 13.47.
Step-by-step explanation:
First you should choose your first two points on the triangle that are on the same line. In this case I'll start with C = (3,3) and B = (8,6)[tex]d = \sqrt{(3 - 8)^2 + (3-6)^2}[/tex]
*Note: Keep X and Y consistent in the distance equation.
The distance for CB = 5.831
After finding this distance continue onto a new set of points to find a new length of the triangle, my second set of points will be A = (5,7) and B = (8,6) to find the length of AB.
[tex]d = \sqrt{(5 - 8)^2 + (7-6)^2}[/tex]
The distance for AB = 3.162
Now you're going to need to use your final to points, in this case for me A and C, and find the length of your final segment. So, I'll use point A = (5,7) and point C = (3,3).
[tex]d = \sqrt{(5 - 3)^2 + (7-3)^2}[/tex]
The distance for AC =4.472
Then find the perimeter by adding up the three side lengths.
AB + CB + AC = P
[tex]5.831 +3.162+4.472=13.465[/tex]
Finally, round 13.465 to the nearest hundredth, 13.47.
*Note: Make sure not to round your answer until the end of the problem to avoid less accurate or even wrong answers.
What is the range of the function?
-2
3
3
9
00
4
12
2
A. (3, 9, 12)
B. (-2, 2, 3, 4)
C. {3}
OD. (-2, 2, 3, 4, 9, 12)
Answer:
yeheheehejehejejejjejjejejejejje
The directrix and focus of a parabola are shown on the graph. Which is an equation for the parabola?
someone help how do I
factor x^3-y^3
Answer:
(x - y)(x² + xy + y²)
Step-by-step explanation:
Since both are cubed (³),
we can apply the Difference of Cubes Formula:
A binomial that is of the form (something)³ – (something else)³
To factor any difference of cubes,
the formula a³ – b³ = (a – b)(a² + ab + b²).
hence, x³ - y³ = (x - y)(x² + xy + y²)
Learn more about Difference of Cubes here: https://brainly.com/question/2747971
Maël mixes 15 milliliters (mL) of bleach with 3.75 liters (L) of water to make a sanitizing solution for a daycare. The amounts of bleach and water always have to be proportional when he makes sanitizing solution. Which of the following could be combinations of volumes of bleach and water for Maël's sanitizing solution?
A. 12 mL bleach and 3 L water
B. 6 mL bleach and 1.5 L water
C. 3 mL bleach and 0.75 L water
D. 20 mL bleach and 5.5 L water
E. 11 mL bleach and 3.75 L water
Answer: A,B,C
Step-by-step explanation: A,B,C is the answer
Select Translation, Reflection, or Rotation to identify the single transformation that transforms ∆PQR to ∆P'Q'R'.
Translation Reflection Rotation
(The pictures of the graphs are in the file attached, please look at them to know which ones are for which option.
4x²-12x+9 = 5
☐ A. x= -√√5 +
312
B. x= √√4-3
C. X = -√√4-3
O D. x = √5 + 2/
□ E. x= -√5 +3
2
OF. x = √5 +3
2
Answer:
x = 3/2 ± [tex]\sqrt{5}[/tex] /2
Step-by-step explanation:
4x²-12x+9 = 5
Rearrange:
4x²-12x+4 = 0
Solve using the quadratic equation:
x = 3/2 ± [tex]\sqrt{5}[/tex] /2
question below
What matrix is the result of m*H?
Enter your answer by filling in the boxes. Enter any fractions as simplified fractions.
Answer:
[tex]m \times H=\left[\begin{array}{c c c}\boxed{-9} & \boxed{36} & \boxed{-\dfrac{9}{2}}\end{array}\right][/tex]
Step-by-step explanation:
Calculate the value of m
Given:
[tex]3\left[\begin{array}{c c}-1 & 2 \\4 & 8\end{array}\right]=\dfrac{2}{3}m \times \left[\begin{array}{c c}-1 & 2 \\4 & 8\end{array}\right][/tex]
Therefore:
[tex]\implies 3=\dfrac{2}{3}m[/tex]
[tex]\implies m=3 \times \dfrac{3}{2}[/tex]
[tex]\implies m=\dfrac{9}{2}[/tex]
Calculate the value of H
Given:
[tex]\left(H+ \left[\begin{array}{c c c}1 & 4 & -2\end{array}\right]\right)+\left[\begin{array}{c c c}3 & 2 & -6\end{array}\right]=\left[\begin{array}{c c c}-2 & 8 & -1\end{array}\right]+\left(\left[\begin{array}{c c c}1 & 4 & -2\end{array}\right]+\left[\begin{array}{c c c}3 & 2 & -6\end{array}\right]\right)[/tex]
Therefore:
[tex]\implies H= \left[\begin{array}{c c c}-2 & 8 & -1\end{array}\right][/tex]
Calculating m × H
[tex]\implies m \times H=\dfrac{9}{2} \times \left[\begin{array}{c c c}-2 & 8 & -1\end{array}\right][/tex]
[tex]\implies m \times H=\left[\begin{array}{c c c}\dfrac{9}{2}(-2) & \dfrac{9}{2}(8) & \dfrac{9}{2}(-1)\end{array}\right][/tex]
[tex]\implies m \times H=\left[\begin{array}{c c c}-9 & 36 & -\dfrac{9}{2}\end{array}\right][/tex]
A decagon with points labeled a through j clockwise. point a is the top left point. if this regular decagon is rotated counterclockwise by 3 times the smallest angle of rotation, which vertex will be in the top position?
The e vertex of the decagon will be in the top position after rotating it counterclockwise by 3 times the smallest angle of rotation.
Which vertex will be in the top position of the regular decagon?
A regular decagon has 10 sides of equal lengths with points labeled 'a' through 'j' clockwise. It is given that the point a is the top-left point. Hence, the the vertex which is in the the top position currently is 'b'.
Now, the smallest angle of rotation will be the angle between the two sides of the decagon.
In the first rotation by the smallest angle in counterclockwise direction, point 'c' will come to the top position. In the second rotation by the smallest angle in counterclockwise direction, point 'd' point will become the top most vertex. Finally, after the third similar rotation, 'e' vertex will be in the top position of the decagon. (Refer the attached diagram)
Learn more about decagon here:
https://brainly.com/question/27314677
#SPJ4
The point (0, 0) is a solution to which of these inequalities?
O Ay+7<2x - 6
OB. y-7<2x-6
OC. y-6<2x-7
OD. y+7<2x+6
The point (0, 0) is a solution to which of these inequalities are satisfied. so option B. y-7<2x-6is the only correct answer.
What is inequality?Inequality is defined as the relation which makes a non-equal comparison between two given functions.
The point (0, 0) is a solution to which of these inequalities are satisfied.
A. y+7<2x - 6
7 < -6
So, it is incorrect.
B. y-7<2x-6
-7 < -6
So, it is correct.
C. y-6<2x-7
-6 < -7
So, it is incorrect.
D. y+7<2x+6
7 < 6
So, it is incorrect.
Hence, option B is the only correct answer.
Learn more about inequality ;
brainly.com/question/14164153
#SPJ1
