Answer: 1.2(7x - 6y) is equivalent to 8.4x- 7.2y
Step-by-step explanation:
took the test
Find the slope m and y-intercept of the equation:
y = (-1/5)x + 7
The triangles shown below may not be congruent
Answer:
False
Step-by-step explanation:
They are Congruent by the criterion of SSS (side side side)...
because there all sides are equal...
hope it helps
\(5(7)\frac{1}{3} + 6 (7\frac{1}{3} )\)
please help thank you
What are the vertices of A’B’C’ is ABC is dilated by a scale factor of 1/6?
Answer:
B
Step-by-step explanation:
we need to take each value in each ordered pair and divide it by 6:
A' = (12/6, 0/6) → (2,0)
B' = (18/6, 6/6) → (3,1)
C' = (6/6, 12/6) → (1,2)
7) To determine how many pages would be need to make 3
books you can use the equation, 138=(46)3. How many pages
would be in 8 books?
Answer:
368
Step-by-step explanation:
8*46
Please help! Determine whether the conjecture is true or false and put an example on why it is
Answer:
Step-by-step explanation:
The first one is true. There can't be any other choice.
a = 5959599949 b = 0 then a*b = 0 because b = 0
The Second one is also true, although you may stall trying to figure out what is meant.
Suppose the angle to start with is 30 degrees
There are two angles that are supplementary to this angle. They can only be 180 - 30 = 150 each. Therefore they are equal to each other. This happens because supplementary angles must add to 180 and nothing else.
The third one is false. You can think of states like Montana which has 3 syllables and Wyoming which also has 3. Texas has two. But guess what? Maine only has 1.
The last one is also false. If you square an even number, you get an even number. Add 1 and you get an odd number. 4^2 = 16 Add 1 you get 17. Seventeen is odd.
6^-2 = PLEASE HELP .....................................................................
Answer:
6^-2 =0.02777777777
Step-by-step explanation:
Suppose that a study of elementary school students reports that the mean age at which children begin reading is 5.4 years with a standard deviation of 0.8 years.
Step 2 of 2: If a sampling distribution is created using samples of the ages at which 38 children begin reading, what would be the standard deviation of the sampling distribution of sample means? Round to two decimal places, if necessary.
Answer:
Step-by-step explanation:
The standard deviation of the sampling distribution of sample means is given by the formula:
standard deviation = population standard deviation / sqrt(sample size)
Here, the population standard deviation is 0.8 years, and the sample size is 38. Substituting these values into the formula, we get:
standard deviation = 0.8 / sqrt(38)
standard deviation ≈ 0.13
Rounding to two decimal places, the standard deviation of the sampling distribution of sample means is approximately 0.13 years.
Fine the missing side lengths. Leave your answers as radicals in the simplest form.
Answer:
x = 3√3;
y = 3
Step-by-step explanation:
Use trigonometry:
\( \sin(30°) = \frac{y}{6} \)
Cross-multiply to find y:
\(y = 6 \times \sin(30°) = 6 \times 0.5 = 3\)
Use the Pythagorean theorem to find x:
\( {x}^{2} = {6}^{2} - {y}^{2} \)
\( {x}^{2} = {6}^{2} - {3}^{2} = 36 - 9 = 27\)
\(x > 0\)
\(x = \sqrt{27} = \sqrt{9 \times 3} = 3 \sqrt{3} \)
What is the volume of the solid figure?
Answer:
\(625 \: {in}^{3} \)
Step-by-step explanation:
This figure is formed from a cube and a rectangular prism
First, we can find the volume of the cube:
(l (side length) = 5 in)
\(v(cube) = {l}^{3 } = {5}^{3} = 125 \: {in}^{3} \)
Now, let's find the volume of the rectangular prism:
(h = 5 in; a (base area) = 20 × 5 = 100 in^2)
\(v(prism) = a(base) \times h\)
\(v(prism) = 100 \times 5 = 500 \: {in}^{3} \)
In order to find the total volume of this figure, we have to add these two volumes together:
\(v(total) = v(cube) + v(prism)\)
\(v(total) = 125 + 500 = 625 \: {in}^{3} \)
Find all values of m for which the equation has two real solutions.
3x² + 7x - (m + 1) = 0
Answer:
m > - 5 1/12----------------------
Given is the quadratic equation.
A quadratic equation has two real solutions if the discriminant is positive.
Set inequality and solve for m:D = b² - 4ac, where a = 3, b = 7, c = - (m + 1)D = 7² + 4*3*(m + 1) 7² + 4*3*(m + 1) > 049 + 12m + 12 > 012m + 61 > 012m > - 61m > - 61/12 m > - 5 1/12Find value of x in trapezoid
Answer:
x = 1
Step-by-step explanation:
You want to know the value of x in the trapezoid with adjacent angles (43x+2)° and 135°.
Supplementary anglesThe two marked angles can be considered "consecutive interior angles" where a transversal crosses parallel lines. As such, they are supplementary.
(43x +2)° +135° = 180°
43x = 43 . . . . . . . . . . . . . . divide by °, subtract 137
x = 1 . . . . . . . . . . . . . . . divide by 43
The value of x is 1.
__
Additional comment
Given that the figure is a trapezoid, we have to assume that the top and bottom horizontal lines are the parallel bases.
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List all of the subgroups of S4. Find each of the following sets. Are any of these sets subgroups of S4?(a) {σ ∈ S4 : σ(1) = 3}(b) {σ ∈ S4 : σ(2) = 2}
This set {σ ∈ S4 : σ(1) = 3} contains the following elements of S4: (13), (23), (34), (24), (14), (12)(34), (13)(24), (14)(23) and {σ ∈ S4 : σ(2) = 2} this set contains the following elements of S4: (12), (21), (13)(24), (24)(13).
What are the subgroups of S4The group S4 is the symmetric group on 4 elements and has 24 elements. We can list all of its subgroups as follows:
The trivial subgroup {e}.Three subgroups isomorphic to the cyclic group of order 2: {e, (12)}, {e, (13)}, {e, (14)}.Four subgroups isomorphic to the cyclic group of order 3: {e, (123), (132)}, {e, (124), (142)}, {e, (134), (143)}, {e, (234), (243)}.Two subgroups isomorphic to the dihedral group of order 4: {e, (1234), (13)(24), (1432)}, {e, (1234), (14)(23), (1324)}.The alternating group A4 of even permutations: {e, (123), (132), (124), (142), (134), (143), (234), (243), (12)(34), (13)(24), (14)(23), (12)(34), (13)(24), (14)(23)}.Now, let's consider the sets (a) and (b) and see if they are subgroups of S4:
(a) {σ ∈ S4 : σ(1) = 3}
This set contains the following elements of S4: (13), (23), (34), (24), (14), (12)(34), (13)(24), (14)(23). We can check that this set is not a subgroup of S4 because it is not closed under composition. For example, (13)(14) = (134) is not in the set.
(b) {σ ∈ S4 : σ(2) = 2}
This set contains the following elements of S4: (12), (21), (13)(24), (24)(13). We can check that this set is a subgroup of S4. It is closed under composition, inverses, and contains the identity element e. Therefore, it is a subgroup of S4 and is isomorphic to the cyclic group of order 2.
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Convert to the units indicated
33,127cm=_____km
Answer:
0.33127
Step-by-step explanation:
1. Because there's 100,000 centimeters in 1 kilometer, we have to divide the number of centimeters by 100,000.
\(33,127/100,000\) \(0.33127\)Therefore, the answer is 0.33127.
Which set of data has a mean of 11 and a mode of 7?
A. 7, 8, 22, 7, 11
B. 3, 5 , 7, 7, 11, 15
C. 2, 5, 7, 11, 23, 18
Answer:
its a.
Step-by-step explanation:
A table contain 30 milligrams of medications. How many tablets will be needed to provide with 240 milligrams of medication
Answer:
8 tablets
Step-by-step explanation:
Answer:
8 tablets
Step-by-step explanation:
240/30
Help I need help with this now
The volume of the rectangular prism is 90 units³
We have,
The figure shown has the dimensions:
L = Length = 5 units
W = Width = 6 units
H = Height = 3 units
Now,
The volume of the rectangular prism.
= L x W x H
= 5 x 6 x 3
= 90 units³
Thus,
The volume of the rectangular prism is 90 units³
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Can anybody answer this for me?
\(\\\text{Given that,}\\\\(x_1 , y_1) = (5,6) ,~~ (x_2, y_2) = (-5,-4)\\\\\text{Slope},~m = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{-4-6}{-5-5} = \dfrac{-10}{-10} = 1\)
Which statement best describes the growth rates of the functions below?
y = 42
y=42
0
0
-
2
3
4
0
4
16
38
B4
2
3
4
16
64
256
The quadratic function grows faster than the exponential function over the entire interval: 0<x<4.
The exponential function grows faster than the quadratic function over the entire interval: 0<x<4.
The exponential function grows faster than the quadratic function over only one interval: 2<x<3.
The exponential function grows faster than the quadratic function over two intervals; 2<x<4
Step-by-step explanation:Answer:
D: The exponential function grows faster than the quadratic function over two intervals
Step-by-step explanation:
From the table
The value of y is same for both functions
For first graph y=4x^2
When x= 3, y = 36
when x= 4 , y = 64
for second graph y = 4^x
When x= 3, y = 64
when x= 4 , y = 256
we can see that second graph increases faster over intervals 2 to 3 and 3 to 4
Second graph is exponential function
So, The exponential function grows faster than the quadratic function over two intervals
Write 3 1/2 cups as a multiplication expression using the unit, 1 cup, as a factor.
I ABSOLUTELY NEED HELP BY TOMORROW!!! I AM GIVING 100 POINTS
3 1/2 cups can be expressed as the multiplication expression: 3 + 1/2.
How to Write 3 1/2 cups as a multiplication expression using the unit, 1 cup, as a factor.To express 3 1/2 cups as a multiplication expression using the unit "1 cup" as a factor, you can write it as:
3 1/2 cups = (3 + 1/2) cups = 3 cups + 1/2 cup
Since there are 1 cup in each term, we can rewrite it as:
3 cups + (1/2) cup
Now, we can express each term as a multiplication expression:
3 cups = 3 * 1 cup = 3
(1/2) cup = (1/2) * 1 cup = 1/2
Putting it all together, the multiplication expression is:
3 * 1 cup + (1/2) * 1 cup = 3 + 1/2
Therefore, 3 1/2 cups can be expressed as the multiplication expression: 3 + 1/2.
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PLEASE HELP AND GIVE A GOOD EXPLANATION!!!!!
The statement that is true about the graph shown is the distribution of the data is symmetrical so the mean and the median are likely within 1000 - 1099 photocopies category (A).
When is the data symmetrical?A graph is symmetrical when it has a line of symmetry, which is a vertical or horizontal line that divides the graph into two equal halves that are mirror images of each other. A graph is symmetrical if it has the same shape on both sides of the line of symmetry.
This happens in the graph presented and as a result other measures such as median and mean are expected to be in the center too.
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Anthony surveys a group of students at his school about whether they play a
sport. This table shows the results broken down by gender.
Boys
Girls
Total
Play a sport
95
76
171
Do not play a
sport
45
59
104
A. Yes, they are independent, because P(girl)
a sport) ~0.62
Are being a girl and playing a sport independent events? Why or why not?
B. Yes, they are independent, because P(girl)
a sport) -0.44
Total
C. No, they are not independent, because P(girl) 0.49 and
P(girl plays a sport) ~ 0.62.
140
135
275
0.49 and Pigirl | plays
0.49 and P(girl plays
D. No, they are not independent, because P(girl)-0.49 and
Pigirl plays a sport)~0.44.
Being a girl and playing a sport are C. No, they are not independent events, because P(girl) 0.49 and P(girl plays a sport) ~ 0.62.
Let's consider the probabilities:
P(girl) = (number of girls) / (total number of students) = 135 / 275 ≈ 0.49
P(girl plays a sport) = (number of girls playing a sport) / (total number of students) = 76 / 275 ≈ 0.276
If being a girl and playing a sport were independent events, the joint probability would be the product of the individual probabilities:
P(girl) × P(girl plays a sport) ≈ 0.49 × 0.276 ≈ 0.13524
However, the actual joint probability is different from the expected value:
P(girl, plays a sport) ≈ 76 / 275 ≈ 0.276
Since the joint probability does not match the product of the individual probabilities, we can conclude that being a girl and playing a sport are not independent events based on the given data.
Therefore, option C. No, they are not independent, because P(girl) 0.49 and P(girl plays a sport) ~ 0.62. is the correct answer.
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Evaluate 16 + b if b = 6
HELPPP PLSSS
Hey there!
16 + b
= 16 + 6
You [start] at 16 and [go up] 6 [spaces to the right]
= 22
Therefore, your answer is: 22
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Given 2 lines cut by a transversal, what would the m<7 have to be if m <4=85 for the lines to be parallel and what is the relationship between <7 and <4
Answer:
85º
Step-by-step explanation:
<7=<4 since we know the lines are parallel, and intersected at the same angle
Therefore, <7=85º.
Go step by step to reduce the radical.
Square Root 200
Answer:
10 root 2
Step-by-step explanation:
root 200 = root 2 × root 100 = 10 root 2
What’s the end behavior
Answer:
First choice
Step-by-step explanation:
Looking at the graph, as the line gets further to the right (positive x, also displayed as x-> infinity) the line continues downwards in the y (vertical) direction
Looking at the graph, as the line gets further to the left (negative x, also displayed as x-> -infinity) the line continues downwards in the y (vertical) direction
Thus, the end behavior is -infinity for both ends
Use this information to answer the following two questions. Mathew finds the deepest part of the pond to be 185 meters. Mathew wants to find the length of a pond. He picks three points and records the measurements, as shown in the diagram. Which measurement describes the depth of the pond? Hide All Z between 13 and 14 meters 36 m 14 m between 14 and 15 meters between 92 and 93 meters Х ag between 93 and 94 meters
it's letter A. Between 13 and 14 meters
Because one side measure 14, and the height (depth) could not be
higher than 14 meters .
The length of the pond can be calculated using the Pythagorean theorem
length^2 = 36^2 + 14^2
length^2 = 1296 + 196
length^2 = 1492
length = 38.6 m
Given the points A (-3, -1), B (1, 4) C (4, -1) what is the x coordinate of D, if ABCD is a parallelogram?
Given:
ABCD is a parallelogram, A(-3,-1), B(1,4), C(4,-1).
To find:
The x-coordinate of point D.
Solution:
Let the point D be (x,y).
We know that the diagonals of a parallelogram bisect each other. So, third midpoints are same.
Midpoint formula:
\(Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)\)
In parallelogram ABCD, AC and BD are two diagonals.
Midpoint of AC = Midpoint of BD
\(\left(\dfrac{-3+4}{2},\dfrac{-1+(-1)}{2}\right)=\left(\dfrac{1+x}{2},\dfrac{4+y}{2}\right)\)
\(\left(\dfrac{1}{2},\dfrac{-2}{2}\right)=\left(\dfrac{1+x}{2},\dfrac{4+y}{2}\right)\)
\(\left(\dfrac{1}{2},-1\right)=\left(\dfrac{1+x}{2},\dfrac{4+y}{2}\right)\)
On comparing both sides, we get
\(\dfrac{1}{2}=\dfrac{1+x}{2}\)
\(1=1+x\)
\(1-1=x\)
\(0=x\)
Similarly,
\(-1=\dfrac{4+y}{2}\)
\(-2=4+y\)
\(-2-4=y\)
\(-6=y\)
The coordinates of point D are (0,-6).
Therefore, the x-coordinate of point D is 0.
center =
3. A diameter of a circle has endpoints P(-7,-4) and Q (3,2).
a. Find the center of the circle (hint use midpoint formula)
b. Find the radius. If your answer is not and integer, express in radical form. (hint use
distance formula)
c. Write an equation for the circle.
17
radius=
equation of the circle:
work:
< 2/3
I
>
a. The center of the circle is (-2, -1).
b. The radius of the circle is √136.
c. The equation of the circle is (x + 2)^2 + (y + 1)^2 = 136.
a. To find the center of the circle, we can use the midpoint formula, which states that the midpoint of a line segment with endpoints (x1, y1) and (x2, y2) is given by:
Midpoint = ((x1 + x2)/2, (y1 + y2)/2)
In this case, the endpoints of the diameter are P(-7, -4) and Q(3, 2).Applying the midpoint formula:
Midpoint = ((-7 + 3)/2, (-4 + 2)/2)
= (-4/2, -2/2)
= (-2, -1)
Therefore, the center of the circle is at the coordinates (-2, -1).
b. To find the radius of the circle, we can use the distance formula, which calculates the distance between two points (x1, y1) and (x2, y2). The radius of the circle is half the length of the diameter, which is the distance between points P and Q.
Distance = √\([(x2 - x1)^2 + (y2 - y1)^2]\)
Using the distance formula:
Distance = √[(3 - (-7))^2 + (2 - (-4))^2]
= √\([(3 + 7)^2 + (2 + 4)^2]\)
= √\([10^2 + 6^2\)]
= √[100 + 36]
= √136
Therefore, the radius of the circle is √136.
c. The equation for a circle with center (h, k) and radius r is given by:
\((x - h)^2 + (y - k)^2 = r^2\)
In this case, the center of the circle is (-2, -1), and the radius is √136. Substituting these values into the equation:
\((x - (-2))^2 + (y - (-1))^2\) = (√\(136)^2\)
\((x + 2)^2 + (y + 1)^2 = 136\)
Therefore, the equation of the circle is (x + 2)^2 + (y + 1)^2 = 136.
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