4) Graph the line 2x - 7y = 14 using X- and y-intercepts.
x-intercept y-intercept
Click to add text Click to add text
O
YA
6
5
4
3
2
1
-6-5-4-3-2
1 2 3 4
5 6
2
-3
-5
-6
10:45

Answer:
(0,-2) (7,0)
Step-by-step explanation:
helpppp me asap i hate theseeee
Answer:I think CBD
Step-by-step explanation:
Help pleaseeeeeeeeeeee
Answer:
C. 72
Step-by-step explanation:
your are given the adjacent length of 2.4 cm and the hypotenuse of 7.8cm
so we know cos = adjacent/ hypotenuse
so to find the angle of cos you use the inverse of cos^-1(2.4/7.8)
after typing into calculator you should get about 72
Answer:
C
Step-by-step explanation:
cos(0)= Adjacent/Hypotenuse
cos(0)= n/p
cos(0)=2.4/7.8
cos(0)=4/13
(0)=cos‐¹(4/13)
(0)=72.07978686
(0)=72°
angle (0)= 72°
For 23 years, Janet saved $1,150 at the beginning of every month in a fund that earned 3.25% compounded annually. a. What was the balance in the fund at the end of the period? Round to the nearest cent Round to the nearest cent b. What was the amount of interest earned over the period?
The balance in the fund at the end of 23 years, with monthly deposits of $1,150 and a 3.25% annual interest rate, is approximately $449,069.51. The amount of interest earned over the period is approximately $420,630.49.
a. The balance in the fund at the end of the 23-year period, considering a monthly deposit of $1,150 and an annual interest rate of 3.25% compounded annually, is approximately $449,069.51.
To calculate the balance, we can use the formula for compound interest:
A = P(1 + r/n)^(nt)
Where A is the accumulated balance, P is the monthly deposit, r is the annual interest rate, n is the number of compounding periods per year, and t is the number of years.
In this case, we have monthly deposits, so we need to convert the annual interest rate to a monthly rate:
Monthly interest rate = (1 + 0.0325)^(1/12) - 1 = 0.002683
Using this monthly interest rate, we can calculate the accumulated balance over the 23-year period:
A = 1150 * [(1 + 0.002683)^(12*23) - 1] / 0.002683 = $449,069.51
Therefore, the balance in the fund at the end of the 23-year period is approximately $449,069.51.
b. The amount of interest earned over the 23-year period can be calculated by subtracting the total deposits from the accumulated balance:
Interest earned = (Monthly deposit * Number of months * Number of years) - Accumulated balance
Interest earned = (1150 * 12 * 23) - 449069.51 = $420,630.49
Therefore, the amount of interest earned over the 23-year period is approximately $420,630.49.
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in exercises 19–20,find t a (x),and express your answer in matrix form.
The coefficients of the transformed basis vectors in this linear combination are the components of the matrix product Ax. That is, [t a (x)]i = ai1x1 + ai2x2 + … + ainxn, where the aij are the entries of the transformation matrix A.
It would have been easier for me to assist you with your question if you had provided the specific instructions for exercises 19-20. Nevertheless, I will provide you with a general explanation of how to find t a (x) and express the answer in matrix form.
For a linear transformation, t a (x), the transformation of a vector x equals the product of the vector and a matrix. The matrix is called the transformation matrix. The transformation matrix is equal to the matrix formed by putting the transformed basis vectors in the columns.
For example, suppose you have the linear transformation, t a (x), and you want to find the transformation matrix of this linear transformation. You can find the matrix by performing the following steps:
Choose a basis for the domain vector space of the linear transformation t a (x). Let the basis vectors be e1, e2, …, en.Apply the linear transformation t a (x) to each basis vector. Let the transformed basis vectors be f1, f2, …, fn.
Form the matrix, A, by putting the transformed basis vectors in the columns. That is, A = [f1 f2 … fn].
The matrix A is the transformation matrix of the linear transformation t a (x).To express t a (x) in matrix form, multiply the matrix A by the vector x. That is, t a (x) = Ax.Note that if x is written as a linear combination of the basis vectors, x = c1e1 + c2e2 + … + cnen, then t a (x) can be written as a linear combination of the transformed basis vectors. That is,
t a (x) = c1f1 + c2f2 + … + cnfn.
The coefficients of the transformed basis vectors in this linear combination are the components of the matrix product Ax. That is, [t a (x)]i = ai1x1 + ai2x2 + … + ainxn, where the aij are the entries of the transformation matrix A.
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SOLVE THE INEQUALITY
-2x < 10
Answer:
x>-5
Step-by-step explanation:
divide by -2, but flip the sign because it's negative
x>-5
Answer:
X>-5
Step-by-step explanation:
\( - 2x < 10 \\ \)
Multiply by (-1) to get rid of - next to x, by doing so the "<" changes into ">"
\(2x > - 10 \\ x >- 10 \div 2 \\ x > - 5\)
Find the probability that a randomly
selected point within the circle falls in the
red-shaded square.
3
P =
3
4
Enter as a decimal rounded to the nearest hundredth.
The probability that the a point will fall on the red-shaded square to nearest hundredth is 0.56
What is probability?A probability is a number that reflects the chance or likelihood that a particular event will occur. The certainty of an event is 1 which is equivalent to 100% in decimal.
Probability = sample space / total outcome
sample space = area of shaded part
total outcome = area of the whole shape.
area of the shaded part = 3×3 = 9
area of the whole shape = 4×4 = 16
Therefore the probability that a point will fall in the shaded area = 9/16
= 0.56( nearest hundredth)
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Answer:
0.56
Step-by-step explanation:
just got it right
4.2 y minus 5.2 = 18.5
Answer:
y = 5.64285714286
Step-by-step explanation:
4.2y - 5.2 = 18.5
4.2y = 23.7
y = 5.64285714286
calculate the surface area and then the volume
Answer:
46
Step-by-step explanation:
length x width x height
7 x 5 x 3
Answer: surface area = 142
Volume = 105
* make sure to add labels (units^2, etc.)
Step-by-step explanation:
Area = length x height
Volume = length x width x height
The polynomial x2 + 7x – 44 can be factored.
Select BOTH of the factors.
(x + 22)
(x - 22)
(x + 4)
(x-4)
(x - 11)
(x + 2)
(x +11)
Answer:
(x-4)(x+11)
Step-by-step explanation:
(x-4)(x+11)
x^2-4x+11x-44
x^2+7x-44
Ding Dong!
using a significance level of 0.01, the critical value of the appropriate test statistic to conduct the test of hypothesis for the belief that there is a difference in the mean productivity is:
The critical value using a significance level of 0.01 is equal to 2.797.
According to the question, the total number of observations is given by the formula
Total number of observations = n₁ + n₂, Also, n₁ = 13 and n₂ = 13 so
Total number of observations = 13+13 = 26
We know that the Degree of freedom is equal to two less than the total number of observations that is
26 - 2 = 24
=> Degree of Freedom = 24
If we use the t-distribution table, the critical value which is corresponding to 24 degrees of freedom and 0.01 significance level is equal to 2.797
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Complete Question:
An operations manager with General Motors corporate offices wishes to determine if the true mean productivity of employees at its Detroit, Michigan plant is different from its Opel/Vauxhall Plant in Bochum, Germany. For this analysis, productivity will be measured by the number of cars that employees assemble per day. Random samples of employees in Detroit and Bochum are selected, and the productivity scores at each assembly plant are recorded. The following results are obtained.
t-Test: Two-Sample Assuming Equal Variances
Detroit
Bochum
Mean
58.5
54.3
Variance
42
56
Observations
13
13
Pooled Variance
XX
Hypothesized Mean Difference
0
df
XX
t Stat
XXXXX
P(T<=t) one-tail
XXXXX
t Critical one-tail
XXXXX
P(T<=t) two-tail
XXXXX
t Critical two-tail
XXXXX
Using a significance level of 0.01, the critical value of the appropriate test statistic to conduct the test of hypothesis for the belief that there is a difference in the mean productivity is:
Nick is studying the triangle sum theorem in his geometry class. The triangle sum theorem states that the sum the measures of the angles of the triangle is 180°. Nick concludes that all three angles in an equiangular triangle must be 60°. What kind of reasoning is Nick using to form his conjecture?
A.) Deductive Reasoning
B.) Inductive Reasoning
Answer:
deductive reasoning
Step-by-step explanation:
Nick is reasoning from one or more statements to reach a logical conclusion.
Please help me I have to get these done today
1. m=9.9
2. n=0.09
3. x=11.¯1
4.sorry the last one I'm not sure
Isolate the variable by dividing each side by factors that don't contain the variable.
Add these fractions, giving your answer
in its simplest form.
6/12 + 2/13 =?
Answer: 0.6 espero haberte ayuado
Step-by-step explanation:
A company is designing a new cylindrical water bottle. The volume of the bottle will be 121 cmcubed. The height of the water bottle is 7.6 cm. What is the radius of the water bottle? Use 3.14 for pi.
Answer:
The radius of the water bottle is 2.25 cm
Step-by-step explanation:
The water bottle is said to be cylindrical, so its volume can be expressed as the volume of a cylinder.
Volume of a cylinder V = πr^2 h
Where;
h = height
r = radius
Making the radius the subject of formula;
r^2 = V/πh
r = √(V/πh)
Given:
Volume V = 121 cm^3
height h = 7.6 cm
π = 3.14
Substituting the given values;
r = √(121/(3.14×7.6))
r = 2.25 cm
The radius of the water bottle is 2.25 cm
gabriella went skiing. she paid $35 to rent skis and $15 an hour to ski. if she paid a total of $95, how many hours did she ski?
Gabriella skied for 6 hours, Let x be the number of hours that Gabriella skied. We know that she paid $35 for ski rental and $15 per hour for skiing,
for a total of $95. We can set up the following equation to represent this information:
35 + 15x = 95
Solving for x, we get:
15x = 60
x = 4
Therefore, Gabriella skied for 6 hours.
Here is a more detailed explanation of how to solve the equation:
Subtract $35 from both sides of the equation.
15x = 60
15x - 35 = 60 - 35
15x = 25
Divide both sides of the equation by 15.
15x = 25
x = 25 / 15
x = 4
Therefore, x is equal to 4, which is the number of hours that Gabriella skied.
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PLEASE REFER THE ATTACHMENT. THANK YOU
The solution is given below:
What is price index?An index number expressing the level of a group of commodity prices relative to the level of the prices of the same commodities during an arbitrarily chosen base period and used to indicate changes in the level of prices from one period to another.
Given:
Comm. p0 q0 p1 q1 p0q0 p1q0 p1q1 p0q1
A 25 750 30 960 18750 750 28800 24000
B 30 450 25 550 13500 750 13750 16500
C 5 250 6 360 1250 30 2160 1800
D 6 90 7 210 540 42 1470 1260
E 10 140 10 190 1400 100 1900 1900
F 4 48 5 65 192 240 365 260
Now,
\(\sum\)p0q0 = 35632
\(\sum\)p1q0 = 1912
\(\sum\)p1q1 = 48445
\(\sum\)p0q1= 45720
1) P01(L) = \(\sum\)p1q0/\(\sum\)p0q0 * 100
= 5.36
2) P01(L) = \(\sum\)p1q1/\(\sum\)p0q1 * 100
= 105.96
Dorbish- Bowley
= 5.36+ 105.96/2
=55.66
Marshall- Edgeworth
= 1912+ 48445/35632 + 45720
= 50357/ 81352
= 0.619 *100= 61.9
Fisher's price index
=( 5.36 * 105.96 )^ 0.5
=23.831
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You work full-time and make $17 per hour. What is your gross annual income?
27
$8160
$680
$35,360
$36,720
Answer:
Your welcome
Step-by-step explanation:
$8160 the hours would be 480
$680 the hours would be 40
$35,360 the hours would be 2,080
$36,720 the hours would be 2,160
What is the volume of the rectangular prism.
A. 16in. 3
B. 22 1/2in. 3
C. 200 in. 3
D. 212 1/2in. 3
Answer:
C: 200
Step-by-step explanation:
Just multiply 12.5 x 8 x 2 to get the answer.
Answer:
C. 200 in.^3
Step-by-step explanation:
The volume is given by
V = l*w*h
V = 12 1/2 * 8*2
V = 25/2 *8*2
= 25*8
= 200 in ^3
Select number of permutations to be equal to 10,000. Then, click on Generate Permutations. Make sure that the correct alternative hypothesis is selected. What is the p-value
The concept of permutations is commonly used in statistics to measure the probability of observing a certain result or outcome when rearranging a set of objects. In this case, you are aiming to generate 10,000 permutations and test a specific alternative hypothesis.
The p-value is a statistical measure that indicates the likelihood of obtaining the observed result (or a more extreme one) assuming that the null hypothesis is true. It ranges from 0 to 1, where a smaller p-value suggests stronger evidence against the null hypothesis.
Without more information about the specific tool or hypothesis you are using, I cannot provide an exact answer to your question. However, once you have generated the permutations and selected the alternative hypothesis, the p-value should be displayed in the output or result section of the tool. It may also be helpful to consult a statistical textbook or resource to understand the interpretation and significance of the p-value in your particular analysis.
1. Select the number of permutations to be equal to 10,000.
2. Click on "Generate Permutations."
3. Ensure that the correct alternative hypothesis is selected (this will depend on your specific test; it can be one-sided or two-sided).
4. Observe the results of your permutation test, which should include the p-value.
Unfortunately, I cannot provide you with the p-value without knowing the specific data and hypothesis you are working with. Please follow the steps above using your software or tool, and you should obtain the p-value you are looking for.
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Write 2 equation of the given line that pae through the point one hould be parallel an the other hould be perpindicular to the givin line
The equation of the line parallel to 3x-2y is:
2y-3x=0
Given in the question:
Equation of the line parallel is: 3x-2y=0
Property: We know through the property of the slopes, that the slope of two parallel line are equal.
m1=m2
Let the slope of the given line be denoted as m1.
Then, from the equation:
3x-2y=0
3x=2y
y=3/2x+0
comparing it to the standard equation of a straight line: y=mx+c
we get,
m1=3/2
then from the property
m1=m2
Then, m2=3/2
Let the point be P(4,6)
The the equation of the straight line parallel to the line 3x-2y is:
y=mx+c
y-y1=m(x-x1)
y-6=3/2(x-4)
cross multiplying
2(y-6)=3(x-4)
2y-12=3x-12
2y-3x=12-12
2y-3x=0
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Need answers for 3 and 4 please.
A car traveling 25mi/h accelerates uniformly for 3.9 s, covering 397ft in this time. What was its acceleration? Round your answer to the nearest 100 th place. Answer in units of ft/s2. 007 (part 2 of 2) 10.0 points What is the final velocity at this time? Answer in units of ft/s.
(a) The acceleration of the car is approximately 21.1 ft/s².(b) The final velocity of the car at the end of the 3.9 s interval is approximately 42.7 ft/s.
To find the acceleration of the car, we can use the formula:
acceleration = (change in velocity) / time.
Given that the car accelerates uniformly, the change in velocity is equal to the final velocity minus the initial velocity. We convert the initial velocity of 25 mi/h to feet per second:
initial velocity = 25 mi/h * (5280 ft/mi) / (3600 s/h) ≈ 36.7 ft/s.
The change in velocity is then:
change in velocity = final velocity - initial velocity.
We can rearrange the formula to solve for the final velocity:
final velocity = initial velocity + (acceleration * time).
We are given that the time is 3.9 s and the car covers 397 ft in this time. Plugging in the values, we have:
397 ft = 36.7 ft/s * 3.9 s + (0.5 * acceleration * (3.9 s)²).
Simplifying the equation, we find:
acceleration ≈ (2 * (397 ft - 36.7 ft/s * 3.9 s)) / (3.9 s)² ≈ 21.1 ft/s².
Finally, we can calculate the final velocity using the rearranged formula:
final velocity ≈ 36.7 ft/s + (21.1 ft/s² * 3.9 s) ≈ 42.7 ft/s.
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for a statistics project, judith distributed a questionnaire and asked her classmates to fill it out. 7 of them did. is this sample of the students in the class likely to be representative?
It depends on several factors, including the size of the class and the method used to select the sample of 7 students.
If the class size is small, say less than 20 students, then a sample of 7 students might be representative if the selection method used is random. In this case, each student in the class would have an equal chance of being selected, and the sample would likely represent the diverse opinions and characteristics of the entire class.
However, if the class size is large, say over 100 students, a sample of 7 students is unlikely to be representative of the entire class. In this case, the sample may not accurately reflect the opinions and characteristics of the entire class, and there is a higher likelihood of selection bias.
In summary, a sample of 7 students may be representative if the class size is small and the selection method used is random. But, it is generally not representative if the class size is large.
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What are the topics of algebra 1?
Algebra 1 covers a variety of topics in algebraic mathematics, including linear and quadratic equations, graphing, polynomials, exponents, factoring, rational expressions, inequalities, functions, and data analysis.
Algebra 1 is typically a high school level course that covers a variety of topics in algebraic mathematics. The specific topics covered can vary somewhat depending on the school or district, but some common topics in Algebra 1 include:
1. Linear equations: Solving for unknowns in linear equations and systems of linear equations.
2. Quadratic equations: Solving for unknowns in quadratic equations and understanding their properties.
3. Graphing: Graphing linear and quadratic functions, and understanding their properties such as slope and intercepts.
4. Polynomials: Understanding and manipulating polynomials of different degrees.
5. Exponents: Understanding and working with exponential functions and expressions.
6. Factoring: Factoring polynomials and other algebraic expressions.
7. Rational expressions: Simplifying and manipulating rational expressions, and solving equations involving them.
8. Inequalities: Solving and graphing inequalities, including absolute value inequalities.
9. Functions: Understanding the concept of a function, and working with linear and quadratic functions.
10. Data analysis: Using algebraic methods to analyze and interpret data, including creating and interpreting graphs and tables.
These are some of the main topics that are typically covered in Algebra 1, though the exact curriculum can vary depending on the specific school or district.
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help me please!!!!!!!
Answer:
C
Step-by-step explanation:
It's C because i majored in mathmatics in college and ended with a A
what is the measure, in degrees, of angle of FHE?
Answer:
Measure of an angle In geometry, an angle. is measured in degrees, where a full circle is 360 degrees. ... The degree is divided in to 60 minutes. For even finer measurements the minute is divided again into 60 seconds, However this last measure is so small, it only used where angles are subtended over extreme distances such as astronomical measurements, and measuring latitude and longitude.
Step-by-step explanation:
Answer:
15 degrees
Step-by-step explanation:
To find the angle, first consider that you have to find all the the other angles inside the triangle (which should equal 180 degrees). Second, the angle that is missing is supplementary to the angle 40 degrees in the other triangle and the 2 angles should add up to 180 degrees as well. Meaning that angle is 140 degrees.
If you add 140 degrees and 25 degrees, you should get 165 degrees, leaving the remaining 15 degrees to be made up by the last angle, the one you're looking for, FHE.
Can you help me with explanation will give brainiest
Answer:
Area of rectangular garden = lxb = 10*5
= 50 sq. inch
when area increases by six times
new area = 50*6 = 300 sq inches
now,
let x be increasement in both length and width
(5+x) (10+x) = 300
50 + 5x + 10x + x² = 300
x² + 15x - 250 = 0
x²+ 25x-10x -250 = 0
x(x+25) - 10 (x+25) = 0
( x-10) (x+25) = 0
either x + 25 =0
x = -25 length can be negative
0r x-10 = 0
x = 10
so 10 inches is increase on both side
Step-by-step explanation:
A stainless steel patio heater is a square pyramid. The length of one side of the base is 22.2 in. The slant height of the pyramid is 88.2 in. What is the height of the pyramid?
Answer:
The height is 87.5 inStep-by-step explanation:
We can solve the height of a square pyramid using the Pythagoras theorem, this is because the slant height the height and the section of the base form a right triangle
the slant height is equivalent to the hypotenuse
the height is equivalent to the opposite
while the base(half) is the adjacent
Given
the base of the pyramid= \(22.2 in\)
the adjacent is = \(\frac{22.2}{2} = 11.1 in\)
the slant height (hypotenuse)= \(88.2 in\)
we know that Pythagoras theorem states that "The sum of the squares of the lengths of the legs of a right triangle ('a' and 'b' in the triangle) is equal to the square of the length of the hypotenuse ('c').
\(c^2=a^2 + b^2\)
\(hyp^2=opp^2+adj^2\)
substituting we have
\(88.2^2=opp^2+11.1^2\\opp^2= 88.2^2-11.1^2\\opp^2=7779.24-123.21\\opp^2=7656.03\\opp=\sqrt{7656.03} \\opp=87.498\\opp=87.50 in\)
the width of a rectangle is 4 feet, and the diagnal length of the rectangle is 13 feet,which measurment is the closest to the length of this rectangle feet?
A.9ft
B.17ft
C.12.4ft
D.13.6ft
Answer:
w = 4 ft
diagonal= 13 ft
l= 13^2-4^2=169-16 = sq root 153
=12.4 ft (approx)