Answer:
y = 3x/7 - 11/7
Step-by-step explanation:
3x/7 - 7y/7 = 11/7
-11/7 +y -11/7 +y
3x/7 - 11/7 = y
Write the equation of the line in slope-intercept form. The coefficients in the equation are b=4 and m=-5.
Answer:
• General equation of a line:
\( { \rm{y = mx + b}}\)
→ m is the slope, m = -5
→ b is the y-intercept, b = 4
• therefore:
\({ \tt{y = ( - 5)x + (4)}} \\ \\ { \boxed{ \boxed{ \rm{y = - 5x + 4}}}}\)
The slope intercept form is given by:
y = mx + b
m = slope and b = y-intercept
The equation of the line in slope-intercept form is y = -5x + 4.
What is an equation of a line?The equation of a line is an algebraic form of representing the set of points, which together form a line in a coordinate system.
The slope intercept form is given by:
y = mx + b
m = slope and b = y-intercept
We have,
b = 4 and m = -5
The equation of the line in slope-intercept form is:
y = mx + b
substitute b = 4 and m = -5
y = -5x + 4
Thus the equation of the line in slope-intercept form is y = -5x + 4.
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ABCD is a parallelogram.
The coordinates of point A are (2,5)
x = (4,0) and y = (5,12)
Find the coordinates of points B and C.
Answer:
B(6, 5), C(1, -7)
Step-by-step explanation:
A(2, 5)
From A to B, there is translation x, (4, 0).
Add 4 to A's x-coordinate, and add 0 to A's y-coordinate.
B(2 + 4, 5 + 0) = B(6, 5)
From C to B there is the translation y, (5, 12).
Since we are going from B to C, we undo translation y.
The translation from B to C is (-5, -12).
C(6 - 5, 5 - 12) = C(1, -7)
Are the following figures similar?
Trapezoids ABCD and EFGH are shown. Angle A equals 137 degrees, Angle B equals 90 degrees, Angle C equals 90 degrees, Angle D equals 43 degrees, Angle E equals 136 degrees, Angle F equals 90 degrees, Angle G equals 90 degrees, Angle H equals 44 degrees.
No, the trapezoids are not similar because their corresponding angles do not have the same measures.
The given trapezoids ABCD and EFGH can be analyzed to determine if they are similar. Similarity in geometric figures implies that their corresponding angles are congruent, and their corresponding sides are proportional.
Let's examine the angles of the trapezoids:
In trapezoid ABCD:
Angle A = 137 degrees
Angle B = 90 degrees
Angle C = 90 degrees
Angle D = 43 degrees
In trapezoid EFGH:
Angle E = 136 degrees
Angle F = 90 degrees
Angle G = 90 degrees
Angle H = 44 degrees
By comparing the angles, we can observe that angles B and F are both right angles (90 degrees) in both trapezoids. Additionally, angles C and G are also right angles (90 degrees) in both trapezoids.
However, angles A and E, as well as angles D and H, do not have the same measures. Angle A measures 137 degrees in trapezoid ABCD, while angle E measures 136 degrees in trapezoid EFGH. Similarly, angle D measures 43 degrees in trapezoid ABCD, while angle H measures 44 degrees in trapezoid EFGH.
Since the corresponding angles in the two trapezoids do not have the same measures, we can conclude that trapezoids ABCD and EFGH are not similar.
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if the ratio of two sample variances exceeds the critical value of f at a defined confidence level, then___
if the ratio of two sample variances exceeds the critical value of f at a defined confidence level, then the level of confidence also exceeds the critical level.
All tests that make use of the F-distribution are collectively referred to as "F Tests." The F-Test to Compare Two Variances is often what is meant when the term "F-Test" is used. However, a number of tests, including regression analysis, the Chow test, and the Scheffe test, use the f-statistic. If we are conducting an F-Test, we might employ a variety of technological tools. since doing an F-test manually while accounting for variations is a difficult and time-consuming operation.
if the ratio of two sample variances exceeds the critical value of f at a defined confidence level, then the level of confidence also exceeds the critical level.
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a 8. The plans of a house are drawn to a scale of 1:50. (a) Find the actual length, in metres, represented by 14 cm on the plan. (b) What length, in centimetres, on the plan represents an actual length of 11 metres? [N/85/P1]
Answer:
a) 7 m
b) 22 cm
Step-by-step explanation:
Given plans at a scale of 1 : 50, you want (a) the actual length corresponding to a plan length of 14 cm, and (b) the plan length corresponding to an actual length of 11 m.
ProportionThe actual lengths are wanted in meters, so we can rewrite the scale to translate between plan cm and actual m.
plan : actual = 1 cm : 50 cm
= 1 cm : 0.5 m
= 2 cm : 1 m
a) 14 cmMultiplying the scale by 7, we have ...
2 cm : 1 m = 14 cm : 7 m
The actual length is 7 meters.
b) 11 mMultiplying the scale by 11, we have ...
2 cm : 1 m = 22 cm : 11 m
The plan length is 22 cm.
Find g(x), where g(x) is the reflection across the y-axis of f(x)= –9|x–10|+1.
Answer:
To reflect a graph, f(x) over the x-axis, you take -f(x).
So if f(x)=x^2, then -f(x) is -x^2.
Then g(x)=-x^2 is the reflection of your function f(x) over the x-axis.
Step-by-step explanation:
7 girls are dancing in Circular form. In how
many ways can they stand in circle?
Answer:
I'm sorry if i'm wrong but i think Its 6.
Step-by-step explanation:
Answer:
42 I believe
Step-by-step explanation:
They way I think about it is if you think about one girl there are 6 other girls around her and so on. So 6 times 7 is 42
But it could be a trick question and it only be 7, because a circle doesn't have a definite start place like a line
HELP ASAP PLS :Find all the missing elements:
Answer:
a ≈ 1.59
b ≈ 6.69
Step-by-step explanation:
Law of Sines: \(\frac{a}{sinA} =\frac{b}{sinB} =\frac{c}{sinC}\)
Step 1: Find c using Law of Sines
\(\frac{6}{sin58} =\frac{c}{sin13}\)
\(c = sin13(\frac{6}{sin58})\)
c = 1.59154
Step 2: Find a using Law of Sines
\(\frac{6}{sin58} =\frac{a}{sin109}\)
\(a = sin109(\frac{6}{sin58} )\)
a = 6.68961
THIS IS IMPORTANT
Where can you find the pulse that is closest to your head?
elbow
wrist
neck
foot
Answer:
Neck
Step-by-step explanation:
Which one is closest to your head?
T-T
At a basketball game, for every 2 baskets team A scored, team B scored 5 baskets. The ratio of the number of baskets scored by team A to the number of baskets for team B is choices: 2 to 3, 2 to 5, 3 to 2, 5 to 2
The ratio of the number of baskets scored by team A to the number of baskets by team B is 2: 5. Then the correct option is B.
In a basketball game, team B scored 5 baskets for every 2 that team A scored.
The utilization of two or more additional numbers that compares is known as the ratio.
Assume that Team A scored two baskets while Team B netted five.
The problem statement states that for every two baskets Team A scored, Team B scored five. This may be expressed as the ratio shown below:
Ratio = 2x : 5x
Ratio = 2: 5
Thus, the correct option is B.
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Write the equation of the line described below in slope-intercept form.
Find the equation of the line that is perpendicular to the line y=-4 x-3 and passes through the point (10,6).
y = -1/4x + 34/4 is the equation of the line which is perpendicular to the line y = -4x - 3
Given,
The line, y = -4x - 3
Point, (x₁, y₁) = (10, 6)
We have to find the equation of line that is perpendicular to the given line;
Here,
Slope of the line, m = -1/4 (Because the line is perpendicular)
We have to find the equation line by using the formula;
y - y₁ = m(x - x₁)
Here,
y - 6 = -1/4(x - 10)
y - 6 = -1/4x + 10/4
y = -1/4x + 10/4 + 6
y = -1/4x + 34/4
That is,
The equation of the line perpendicular to the given line is y = -1/4x + 34/4
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9375 grams of radioactive material decays every hour in a geometric fashion. After 4 hours of decay, 15 grams of radioactive material remains. Assuming the decay continues at the same rate, determine the exact amount of radioactive material that would remain by the 7th hour of decay.
The amount of radioactive material that would remain by the 7th hour of decay is 0.12 grams.
Exponential functionAn exponential function is in the form:
y = abˣ
where y,x are variables, a is the initial value and b is the multiplicative factor.
Let y represent the amount of substance remaining after x hours. Hence:
a = 9375, at x = 4, y = 15:
15 = 9375(b)⁴
b = 0.2
y = 9375(0.2)ˣ
For the 7th hour, x = 7:
y = 9375(0.2)⁷ = 0.12
The amount of radioactive material that would remain by the 7th hour of decay is 0.12 grams.
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Simplify the following expression using the distributive property:-3(4x-5)
A. 34x-5 B. -12x -5 C. -27x D. 12x + 15
Answer:
B
Step-by-step explanation:
-3 by 4 = -12
then you add the -5
jijijjjjijij the question thingy
Answer:
yes sir and thank u very good sir I am not sure how to get a new job
Help please 111119228282
Here we have a dilation of scale factor 2.
How to describe the enlargement?We can see that bot figures we have the same slope, so we just have a dilation of scale factor K to go from figure A to figure B.
To find the value of K, notice that for some side length L in figure A, the correspondent length L' in figure B must be:
L' = K*L
Here if we use the left sides, we will get:
for figure A; L= 2
for figure B: L = 4
4 = K*2
4/2 = K
2 = K
So this is a dilation of scale factor k = 2.
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what is 78,902,010 as a standard form
Answer:
70,000,000
8,000,000
900,000
2,000
10
Step-by-step explanation:
7x-8y=10 and x-8y=-26 using elimination
x= 6;
y= 4.
Step-by-step explanation:1. Write the equations.\((1)7x-8y=10\\\\ (2)x-8y=-26\\\)
2. Subtract equation 2 from equation 1.\((1)7x-8y=10\\-\\ (2)x-8y=-26\\--------\\\\6x+0y=36\\ \\6x=36\)
3. Solve for x.\(\frac{6x}{6} =\frac{36}{6} \\ \\x=6\)
4. Use the calculated value of "x" in any of the equation to the value of "y".For this solution, we are going to use equation 2 to get the value of "y".
\((6)-8y=-26\\\\-8y=-26-6\\ \\-8y=-32\\ \\\frac{-8y}{-8} =\frac{-32}{-8} \\ \\y=4\)
5. Verify.If the answers are correct, both equations should return the same value in both sides of the equal (=) sign.
\(7(6)-8(4)=10\\ \\42-32=10\\ \\10=10\)
That's correct.
\((6)-8(4)=-26\\ \\6-32=-26\\ \\-26=-26\)
That's correct.
Hence, the answers are correct.
Choose the correct graph of the following condition. {(x, y) : x - y6}
The correct graph of the following condition. {(x, y) : x - y6} is depicted in the graph attached.
What is a graph?
A graph is a diagram showing the relation between variable quantities each measured along one of a pair of axes at right angles.
In this case, the correct graph of the following condition. {(x, y) : x - y6} is depicted in the graph attached.
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Warning
There is a checkbox at the bottom of the exam form that you MUST check prior to submitting this exan
Question 1 (Multiple Choice Worth 2 points)
(Effects of Changes in Data MC)
The heights of 11 plants, in inches, are listed.
14, 15, 16, 16, 17, 17, 17, 18, 18, 19, 22
If another plant with a height of 14 inches is added to the data, how would the range be impacted?
The range of the data is the difference between the highest and lowest values, which is 8 inches. Adding another plant with a height of 14 inches would not change the range, so the range would remain 8 inches.
What is data?Data is a collection of facts, figures, or information that can be processed and used to draw conclusions or make decisions. It can be stored in a variety of formats, including numerical, text, images, audio, and video. Data can be collected from a variety of sources, such as surveys, observations, experiments, or transactions. It can be used to inform decisions in areas such as business, health care, education, and research. Data can be analyzed to gain insight, develop strategies, identify trends, and make predictions. Data is a valuable resource and is increasingly important in today's digital age.
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لا
Subtract 43 from 21 raised to the 7th power, then multiply by 2.
Solve the proportion using cross products. Round t the nearest hundredth if necessary 22 miles /55 hours = 12 miles/k hours
Solving the proportion 22 miles/ 55 hours :: 12 miles/ k hours using cross products, value of h is 30.
Define proportion.Comparing two integers that each stand for a component of a whole results in a proportion. In essence, a percentage declares that two fractions are equal, regardless of the difference in amount. For instance, the ratio of half of 10 marbles to half of 50 marbles is 10. When determining if two ratios or fractions are equivalent, the proportion formula is utilized. By dividing the supplied values, we may determine the missing value. One way to express the percentage formula is as a: Whereas a and d are the extreme terms and b and c are the mean terms, b::c: d = a/b = c/d.
Given,
22 miles/ 55 hours = 12 miles/ k hours
Solving the proportion using cross products,
22 × h = 12 × 55
22 × h = 660
h = 660 ÷ 22
h = 30
Solving the proportion 22 miles/ 55 hours :: 12 miles/ k hours using cross products, value of h is 30.
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Use the following to answer Sean takes two 250 mg chewable calcium tablets each day,
6) How many milligrams of calcium will Sean take in a week?
7) How many grams of calcium will Sean take in a week?
A RECTANGLE BELOW HAS A LENGTH OF X + 5/2 UNITS AND A WIDTH OF 3 UNITS
WHAT IS THE EQUATION
The equation that represents the situation is A = 3x + 15/2.
What is an equation?Two algebraic expressions having the same value and symbol '=' in between are called an equation.
Given:
A rectangle has length = x + 5/2 units.
And the width of 3 units.
Let the area of the rectangle is A.
So, A = length x width]
Substituting the value of length and width to the formula,
A = (x + 5/2) 3
A = 3x + 15/2
Simplifying,
2A = 6x + 15
Therefore, the equation is A = 3x + 15/2.
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The distribution of tips given by customers who buy only a cup of coffee is bimodal with a mean of $0.29 and a standard deviation of $0.116. The distribution of tips given by customers who buy only a salad is approximately Normally distributed with a mean of $2.89 and a standard deviation of $1.18. If a random sample of 35 tips from customers who buy only a cup of coffee is selected and a random sample of 20 customers who buy only a salad is selected, what is the probability of a sample mean being at least $2.50 more for customers who buy only a salad than for those who buy only a cup of coffee?
Answer:
0.6781
Step-by-step explanation:
Answer:
edge 2021-22
Step-by-step explanation:
The graph of a function is shown on the coordinate plane below.
Which statement correctly describes the function on a given interval?
Answer: D
Step-by-step explanation:
I did it
The statement that correctly describes the function is:
The function is decreasing and nonlinear from x = 4 to x = 11.
Option D is the correct answer.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
From the graph,
We see that,
The function is increasing and nonlinear from x = -7 to x = -4.
The function is constant and linear from x = -4 to x = 1.
The function is increasing and nonlinear from x = 1 to x = 4.
The function is decreasing and nonlinear from x = 4 to x = 11.
Thus,
The function is decreasing and nonlinear from x = 4 to x = 11.
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35 POINTS WILL GIVE BRAINLYEST 5 QUESTIONS
4) If a shoe of size 9.5 is added to the data, the way the median would change is that; The median will increase to 7
5) If a value of 50° is added, the way that the median will change is that; The Median decreased to 77°
6) If 101° is added, then ; Mean increases to 82°
How to find the measure of central tendency?4) Arranging the shoe sizes from least to greatest is;
5, 5.5, 6, 6.5, 6.5, 7, 7.5, 8, 8, 8.5
The median here will be; (7 + 6.5)/2 = 6.75
If a size of shoe of 9.5 is added, the sizes will be arranged as;
5, 5.5, 6, 6.5, 6.5, 7, 7.5, 8, 8, 8.5, 9.5
The median will increase to 7
5) Arranging the average high temperatures from least to greatest is;
57, 58, 61, 66, 71, 77, 82, 91, 95, 100, 102, 105
The median here will be; (77 + 82)/2 = 78.5
If we add 50° to the values, the median is now;
Median = 77
Median decreased to 77°
6) 57, 58, 61, 66, 71, 77, 82, 91, 95, 100, 102, 105
The mean is; (57 + 58 + 61 + 66 + 71 + 77 + 82 + 91 + 95 + 100 + 102 + 105)/12 = 80.42
If 101° is added, mean = (965 + 101)/13 = 82
Mean increases to 82°
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Patients who undergo chronic hemodialysis often experience severe anxiety. The accompanying data give score results from a psychiatric questionnaire for patients that viewed relaxation videotapes, where higher scores correspond to higher anxiety. Use limit grouping with a first class of 13-19 and a class width of 7 to complete parts (a) through (d).
The data is:
45
36
24
16
23
38
54
39
46
57
14
32
71
50
48
16
51
26
40
46
20
20
57
40
15
44
18
36
28
35
57
a. Determine a frequency distribution up to 9 classes.
(Type integers or decimals. Do not round.)
Answer:
Step-by-step explanation:
To create a frequency distribution with a first class of 13-19 and a class width of 7, we need to determine the boundaries for each class. The first class has a lower boundary of 13 and an upper boundary of 19. The upper boundary of each subsequent class is obtained by adding 7 to the previous upper boundary.
Using these boundaries, we can count how many values fall into each class:
Class Boundaries Tally Frequency
1 13-19
2 20-26
3 27-33
4 34-40
5 41-47
6 48-54
7 55-61
8 62-68
9 69-75
To obtain the frequency, we count the number of values that fall into each class. The tally column is used to keep track of the values as they are counted.
Please help with this question it is due today I will give 20 points. Thank you and may God bless you! :)
I would say A but please wait for someone else to answer to make sure it's not wrong I would hate for you to get this wrong
Review the graph.
On a coordinate plane, a circle has center (4, 0) and radius 4. Another circle has center (2, negative 3) and radius 6. The area inside of the first circle and outside of the second circle between the 2 circles is shaded.
Which system of inequalities is shown in the graph?
36 > (x + 3)2 + (y – 2)2 and 16 > (x – 4)2 + y2
36 > (x – 2)2 + (y + 3)2 and 16 > (x – 4)2 + y2
36 < (x + 3)2 + (y – 2)2 and 16 > (x – 4)2 + y2
36 < (x – 2)2 + (y + 3)2 and 16 > (x – 4)2 + y2
Answer:
36 < (x - 2)² + (y + 3)² and 16 > (x - 4)² + y²
Step-by-step explanation:
This is because the shaded area is inside the first circle (centered at (4, 0) with a radius of 4) but outside the second circle (centered at (2, -3) with a radius of 6). The inequalities reflect these conditions by setting the inequality signs accordingly. The inequality with "<" for the first circle ensures that the shaded area is within the circle, and the inequality with ">" for the second circle ensures that the shaded area is outside the circle.
Course Grade You were 6 points shy of a B in yo
394. How many points were possible in the course?
mathematics course. Your point total for the course was
(Assume that you needed 80% of the course total for a B.)
The point total possible for the given course is equal to 500.
What is a Percent?
A ratio whose second term is 100 is known as a percent. Parts per hundred are used in percentages. The mathematical representation of percent is %.The percent formula is given as, \(x=p \times b\), where b is the base number, x is the number being compared to b, and p is the percent in decimal form.In the question, it is given that you were 6 points shy of a B and the current total points you have is 394.
So, the total number of points you require for a B is calculated as,
\(394+6=400\)
So, the value of x is 400.
It is given that you need 80% of the course total for a B.
\(\implies p=\frac{80}{100}\\ \implies p=0.8\)
Here, we have to find the base number (b).
We have, x = 80% of b
\(\implies x=0.8 \times b\\\implies 400= 0.8 \times b\\\implies x=\frac{400}{0.8}\)
Simplifying, we get
\(x=500\)
Therefore, 500 points were possible in the course.
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