Find the slope of the line passing through each of the following pairs of points.
(0, -8), (0,4)
Answers
Answer:
The slope is undefined
Step-by-step explanation:
You can find the slope by doing change in y/change in x.
Y changed by 12 units while x changed by 0.
12/0 is undefined, so the slope is as well (on a graph, the line would be vertical)
0 or undefined or infinity
Step by step explanation:
slope = y2 - y1 / x2 - x1
= 4 + 8 / 0 + 0
= 12 / 0
= 0
Related Questions
In order to estimate the difference between the average mortgages in the southern and the northern states of the United States, the following information was gathered.South NorthSample Size 40 45Sample Mean (in $1,000) $170 $175Sample Standard Deviation (in $1,000) $5 $7a. Compute the degrees of freedom for the t distribution.b. Develop an interval estimate for the difference between the average of the mortgages in the South and North. Let Alpha = 0.03.
Answers
The answers are:
a. The degrees of freedom for the t distribution is 83.
b. The interval estimate for the difference between the average of the mortgages in the South and North is approximately -6.59 to -3.41 (in $1,000).
a. To compute the degrees of freedom for the t distribution, we use the formula:
Degrees of Freedom = (Sample Size South - 1) + (Sample Size North - 1)
Plugging in the given values:
Degrees of Freedom = (40 - 1) + (45 - 1) = 39 + 44 = 83
b. To develop an interval estimate for the difference between the average of the mortgages in the South and North, we can use the t-distribution and the formula for the confidence interval:
Confidence Interval = (Sample Mean South - Sample Mean North) ± (t-value * Standard Error)
The t-value depends on the degrees of freedom and the desired level of confidence. Given that Alpha = 0.03, we need to find the t-value corresponding to a confidence level of 1 - Alpha = 0.97.
Using a t-distribution table or software, we find the t-value to be approximately 1.995 for a degrees of freedom of 83 and a confidence level of 0.97.
The standard error can be calculated using the formula:
Standard Error = sqrt((Sample Variance South / Sample Size South) + (Sample Variance North / Sample Size North))
Plugging in the given values:
Standard Error = sqrt((5^2 / 40) + (7^2 / 45)) = sqrt(0.3125 + 0.3265) = sqrt(0.639)
Therefore, the standard error is approximately 0.799.
Plugging all the values into the confidence interval formula:
Confidence Interval = (170 - 175) ± (1.995 * 0.799) = -5 ± 1.59
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Ceaser had $60. He spent $36.90 on a pair of shoes and the rest on a shirt. What percent of his money did he spend on the shoes
Answers
Answer:
61.5%
Step-by-step explanation:
The percent of his money that he spent on the pair of shoes is \(\frac{36.90}{60} \cdot 100% = 61.5%\)
Solve using elimination.–10x − 10y = –1010x + 8y = –8
Answers
The question asks us to solve the following system of equations by elimination:
\(\begin{gathered} -10x-10y=-10 \\ 10x+8y=-8 \end{gathered}\)Solution
\(\begin{gathered} -10x-10y=-10\text{ (Equation 1)} \\ 10x+8y=-8\text{ (Equation 2)} \\ \\ \text{Add Equation 1 and 2 together.} \\ \\ -10x-10y+(10x+8y)=-10+(-8) \\ -10x-10y+10x+8y=-10-8 \\ -10x+10x+8y-10y=-18 \\ -2y=-18 \\ \text{Divide both sides by -2} \\ -\frac{2y}{-2}=-\frac{18}{-2} \\ \\ \therefore y=9 \\ \\ \text{Substitute the value of y into equation 1.} \\ -10x-10y=-10 \\ -10x-10(9)=-10 \\ -10x-90=-10 \\ Add\text{ 90 to both sides} \\ -10x=-10+90 \\ -10x=80 \\ \text{Divide both sides by -10} \\ -\frac{10x}{-10}=\frac{80}{-10} \\ \\ \therefore x=-8 \end{gathered}\)
Answer
The solution to the system of equation is:
x = -8
y = 9
simplify 9 x 5/9
in 4 mins
Answers
Answer:
5
Step-by-step explanation:
9 x 5/9
9/1 * 5/9
Rewriting
9/9 * 5/1
1 * 5/1
5
who ever answers this will get 20 points and a 5 star rating
Seren draws a chick on graph paper using the scale shown below. The chick has a height of 5\,\text{cm}5cm5, start text, c, m, end text in the drawing.
Which of the following drawings best represents the height of the chick at the scale Seren chose?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
A chick on graph paper. A line labeled "10 units" shows the height of the chick. A 1-unit long scale is labeled, "half centimeter."
(Choice B)
B
A chick on graph paper. A line labeled "2.5 units" shows the height of the chick. A 1-unit long scale is labeled, "half centimeter."
(Choice C)
C
A chick on graph paper. A line labeled "5 units" shows the height of the chick. A 1-unit long scale is labeled, "half centimeter."
Answers
Answer:
its B
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Maria and laurie are making orange juice.Maria use 2 cups of concentrate and 5 cups of water. Laurie uses 3 cups of concentrate and 7 cups of water . Whose mix would be the strongest? Why?
Answers
Answer:
Step-by-step explanation:
To obtain the strongest mix :
Maria:
2 cups of concentrate ; 5 cups of water
Ratio = 2/5 = 0.4 concentrate per 1 cup of water
Laurie:
3 cups of concentrate ; 7 cups of water
Ratio = 3/7 = 0.4285714 concentrate per 1 cup of water
0.4285714 > 0.4
Hence, Laurie's mix is the strongest as it has higher concentrate per cup of water.
What is the slope of the line?
6
�
+
10
�
=
8
6x+10y=86, x, plus, 10, y, equals, 8
Choose 1 answer:
Choose 1 answer:
(Choice A)
−
3
4
−
4
3
minus, start fraction, 3, divided by, 4, end fraction
(Choice B)
−
5
4
−
4
5
minus, start fraction, 5, divided by, 4, end fraction
Answers
The slope of the line 6x + 10y = 8 is -3/5. Therefore, the option B is correct.
The slope of the line 6x + 10y = 8 can be found by rearranging the equation to the slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.
First, we will isolate the y term on one side of the equation:
6x + 10y = 8
10y = -6x + 8
Next, we will divide both sides of the equation by 10 to solve for y:
y = (-6/10)x + (8/10)
Finally, we can simplify the fraction to find the slope:
y = (-3/5)x + (4/5)
The slope of the line is -3/5.
Therefore, the correct answer is Choice B.
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hannah can paint a room in 9 hours. destiny can paint the same room in 15 hours. if they work together, how long does it take them to paint the room?
Answers
Answer:
5 hours 38 minutes
Step-by-step explanation:
Let's call Hannah H, and Destiny D.
9H = 1 (think of 1 as 100% of the job done). call this equation '1'.
15D = 1 call this '2'
multiply '1' by 5:
45H = 5
multiply '2' by 3:
45D = 3
add both up:
45H + 45D = 5 + 3
45H + 45D = 8
45(H + D) = 8.
H + D is Hannah and Destiny working together. we want to make the right side of equation 1.
divide both sides by 8:
(45/8) (H + D) = 1
so it will take both of them 45/8 ≈ 5 hours 38 minutes to paint it together
Determine how many centimeters are in 1 yard if there are 2.54 centimeter per inch and 3 feet in a yard.
Answers
Answer:
91.44 cm
Step-by-step explanation:
2.54 x 12 = 30.48 cm per foot
30.48 x 3 = 91.44cm
Q9 Rearrange the following so that y is the subject.
a(2y + 3z) = d( 2x + 3y)
Answers
\(~~~~~~~a(2y+3z) = d(2x+3y)\\\\\implies 2ay+3az= 2dx+3dy\\\\\implies 2ay -3dy = 2dx -3az\\\\\implies (2a-3d)y = 2dx-3az\\\\\implies y = \dfrac{2dx-3az}{2a-3d}~~~~~~~~~~~~;[2a-3d \neq 0]\)
Evaluate the expression −x^2 + 2x-7 when X=-4
Answers
-(-4)^2+2(-4)-7
-16-8-7
=-31
Determine the solution to the equation. 8+4x=2x+8+2x A Infinite B One Solution C No Solution
Answers
After solving the given equations the answer is an Infinite solution. Hence, option A is correct
What is an equation?Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.
This relationship is illustrated by the left and right expressions being equal to one another. The left-hand side equals the right-hand side is a basic, straightforward equation.
As per the given equation in the question,
8 + 4x = 2x + 8 + 2x
Firstly, let's write the given equation in a simplified manner,
8 + 4x = 8 + 4x
As we can see that LHS = RHS, which means that both equations are the same then which means they will give infinite solutions.
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How long would it take for a car to travel a distance of 200 kilometers if it is traveling at a speed of 55 km/hr? *
Answers
Answer:
3.63 i think
Step-by-step explanation:
Answer:
3.6
Step-by-step explanation:
Amelia's family took a road trip to Niagara Falls. Amelia fell asleep after they had travelled 931 miles. If the total length of the trip was 980 miles, what percentage of the total trip had they travelled when Amelia fell asleep?
Answers
Answer:
95%
Step-by-step explanation:
Total distance of trip = 980 miles
Miles covered when Amelia slept = 931 miles
what percentage of the total trip had they travelled when Amelia fell asleep?
Miles yet to be covered = 980 miles - 931 miles
= 49 miles
percentage of the total trip had they travelled when Amelia fell asleep = 931 / 980 × 100
= 0.95 * 100
= 95%
Answer:
95%
Step-by-step explanation:
165
June has $1.95 in dimes and nickels. She has a total of 28 coins. How many dimes and how many nickels does she have?
Answers
Answer: There are 11 dimes and 17 nickels.
Step-by-step explanation:
1. Give the formula for the forward Fourier Transform for a signal, X(jω)=F{x(t)}. 2. Give the formula for the inverse Fourier Transform of a signal, x(t)=F−1{X(jω)}. Compare this to the formula from problem 1) above and discuss similarities and differences. What is the Fourier Transform property called which refers to the similarity between the two formulas? 3. Using the defining integral of the Fourier Transform, determine the transform of the following signal: x(t)=⎣⎡−1,1,0,−1
Answers
The forward Fourier Transform formula for a signal is X(jω) = F{x(t)}. The inverse Fourier Transform formula is x(t) = F^(-1){X(jω)}. The two formulas are related by the Fourier Transform property called duality or symmetry.
1. The forward Fourier Transform formula is given by:
X(jω) = ∫[x(t) * e^(-jωt)] dt
This formula calculates the complex spectrum X(jω) of a signal x(t) by integrating the product of the signal and a complex exponential function.
2. The inverse Fourier Transform formula is given by:
x(t) = (1/2π) ∫[X(jω) * e^(jωt)] dω
This formula reconstructs the original signal x(t) from its complex spectrum X(jω) by integrating the product of the spectrum and a complex exponential function.
The similarity between these two formulas is known as the Fourier Transform property of duality or symmetry. It states that the Fourier Transform pair (X(jω), x(t)) has a symmetric relationship in the frequency and time domains. The forward transform calculates the spectrum, while the inverse transform recovers the original signal. The duality property indicates that if the spectrum is known, the inverse transform can reconstruct the original signal, and vice versa.
3. To determine the Fourier Transform of the given signal x(t) = [-1, 1, 0, -1], we apply the defining integral:
X(jω) = ∫[-1 * e^(-jωt1) + 1 * e^(-jωt2) + 0 * e^(-jωt3) - 1 * e^(-jωt4)] dt
Here, t1, t2, t3, t4 represent the respective time instants for each element of the signal.
Substituting the time values and performing the integration, we can obtain the Fourier Transform of x(t).
Note: Please note that without specific values for t1, t2, t3, and t4, we cannot provide the numerical result of the Fourier Transform for the given signal. The final answer will depend on these time instants.
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If f(x) = 3x + 4, what is the value of f(-4)?
Answers
Answer:
-8
Step-by-step explanation:
f(x) = 3x + 4
substitute -4 in place of x
f(-4) = 3*-4 + 4
f(-4) = -12 + 4
f(-4) = -8
A car costing $24,000 is subject to a sales tax of 8%. If Bindu made a $10,000 down payment on his car, what is the tot amount she has left to pay?
Answers
Answer:
$15,920
Step-by-step explanation:
Adult humans have approximately 2.6 red blood cells and 3.92 white blood cells. About how many times greater is the number of red blood cells than white blood cells?
Answers
Answer:
1.5 rounded to the nearest tenth
Step-by-step explanation:
To find how much greater WBC are from RBC we do,
3.92 ÷ 2.6
= 1.50769230769
Which is 1.5 rounded to the nearest tenth.
Thus,
there are approximately 1.5 times WBC than RBC.
Hope this helps :)
The 1.5 times greater is the number of red blood cells than white blood cells
What is division?The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.
Given:
Adult humans have approximately 2.6 red blood cells and 3.92 white blood cells.
To find the number of times greater is the number of red blood cells than white blood cells:
Use division operation,
3.92 / 2.6
= 1.5076
≈ 1.5 rounded to the nearest tenth.
Therefore, the required number is 1.5 times.
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At the local carnival, a ride charges $3 for a child ticket and $6 for an adult ticket. If the ride collected a total of $144 and 36 tickets were sold, how many of each type of ticket was sold?
________ child tickets and _______ adult tickets.
Answers
Answer:
I think 36 for child and 18 for adult
Step-by-step explanation:
A cost function is a mathematical formula used to chart how production expenses will change at different output levels. Hence, \(25\) child tickets are sold and adults are \(15\).
What is the cost?
A cost function is a mathematical formula used to chart how production expenses will change at different output levels. In other words, it estimates the total cost of production given a specific quantity produced.
Let \(y\) be the number of child tickets sold
Then, \(40-y\) be the number of adults tickets sold
Each ticket costs $\(3\) and there are \(y\) child so it is of the form
\(3\)×\(y=3y\)
So, \(40-y\) tickets sold and each costs $\(5\), so it`s the cost is \(5(40-y)\).
\(3x+5(40-y)=150\\3y+200-5y=150\\200-2y=150\\-2y=150-200\\-2y=-50\\2y=50\\y=25\)
Hence, \(25\) child tickets are sold and adults are \(15\).
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Sami needs to order concrete for a driveway . The driveway will be 14 feet wide , 24 feet long , and 0.5 feet thick How many cubic yards of concrete will Sami need to order ?
Answers
Solution
We need to find the volume
\(Volume=lwh\)From the question, we have
\(\begin{gathered} w=14ft \\ l=24ft \\ h=0.5ft \end{gathered}\)Subtituting the value, we have
\(\begin{gathered} Volume=lwh \\ \\ Volume=24(14)(0.5) \\ \\ Volume=168ft^3 \end{gathered}\)To round up, we convert to yard
\(\begin{gathered} 3ft=1yd \\ \\ 27ft^3=1yd^3 \\ \\ 1ft^3=\frac{1}{27}yd^3 \\ \\ 168ft^3=168\times\frac{1}{27}yd^3 \\ \\ 168ft^3=\frac{56}{9}yd^3 \\ \\ 168ft^3=6.2222yd^3 \end{gathered}\)The answer to four decimal places is
\(\begin{equation*} 6.2222yd^3 \end{equation*}\)
Actividades de Desarrollo Actividad 1. En el siguiente ejercicio identificarás los elementos de los términos algebraicos (signo, coeficiente, literal y exponente) en los espacios correspondientes. Considera que, si no existe un signo explícitamente, lo deberás indicar como positivo (+), de igual forma, de no ser visible un exponente, su valor será de uno. a) -21x3w? Signo: - Coeficiente: 21 Literales: X, W Exponentes: 3.7 b)-755 Signo: Coeficiente: Literales: Exponentes: Literales: c) 8a2b5 Coeficiente: Exponentes: Signo: Literales: Exponentes: Coeficiente: Signo: Literales: Exponentes: Coeficiente:_ Signo: Literales: Exponentes: Coeficiente: Signo: d) m11 e) xyws ni ayb e) xyws e) xyws Literales: Exponentes: Coeficiente: Signo: Signo: Exponentes: Literales: 28 Coeficiente: ACADEMIA NACIONAL DE MATEMATICAS DGETI
Answers
Una expresión algebraica consta de una variable, coeficiente, exponente y signos.
Una variable es cualquier término desconocido y representado por el alfabeto inglés, como a, b, c, etc.
Un coeficiente es un número que se multiplica por la variable, como 2, 17, 39, etc.
Un exponente da la potencia del término que indica cuántas veces se repite.
a) -21x³w⁷
Firmar: -
Coeficiente: 21
Literales: X, W
Exponentes: 3.7
b) -755
Signo: negativo -
Coeficiente: 755
Literales: nulo
Exponentes: 1
c) 8a²b⁵
Signo: Positivo +
Coeficiente: 8
Literales: a, b
Exponentes: 2,5
d) m11
Signo: Positivo +
Coeficiente: 11
Literales: m
Exponentes: 1
e) xyws
Signo: positivo
Coeficiente: 1
Literales: x, y, w, s
English
An algebraic expression consists of a variable , co efficient, exponent and signs.
A variable is any term that is unknown and represented by the English alphabet such as a, b,c and so on.
A co efficient is a number that is multiplied by the variable such as 2, 17 ,39 etc.
An exponent gives the power of the term indicating how many times it is repeated.
a) -21x³w⁷
Sign: -
Coefficient: 21
Literals: X, W
Exponents: 3.7
b) -755
Sign: negative -
Coefficient: 755
Literals: nil
Exponents: 1
c) 8a²b⁵
Sign: Positive +
Coefficient: 8
Literals: a,b
Exponents: 2,5
: d) m11
Sign: Positive+
Coefficient: 11
Literals: m
Exponents: 1
e) xyws
Sign: Positive
Coefficient: 1
Literals: x,y,w,s
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A dophin can dive 5,000 feet in 5 minutes. How many feet is that in one minute?
Answers
Answer:
1,000 ft.
Step-by-step explanation:
5000/5=1000
Answer:
The answer would be 1,000 feet per minute
Step-by-step explanation:
5,000 / 5 = 1,000
Lea
owhs 800 shares of ABC, Incorporated. On April 6, the corporation Instituted a 5-for-2 stock split. Before the split, each share was worth $42.60.
a. How many shares did Lea hold after the split?
b. What was the post-split price per share?
c. Show that the split was a monetary non-event for Lea. Pre-split and post-split market values=
Answers
Answer:
2000
Step-by-step explanation:
Number of shares after split is 5/2 times the pre split value =800*5/2 = 2000
please help i don’t understand
Answers
9514 1404 393
Answer:
3
Step-by-step explanation:
Vertical angles share a vertex point, and have opposite rays for sides. In short, they are across the point of intersection from each other. Vertical angles do not have a common side (they are not adjacent).
The first part of the problem is to identify angle NCA. That is shown in red in the attachment. The vertical angle is across the point of intersection. It is angle 3.
please help i don't know what I'm doing
Answers
Answer:
11 is the answer
Step-by-step explanation:
Answer:
11
Step-by-step explanation:
to find one of the addend
subtract another one of the addend by the sum
eg : 9 + __= 20
20 - 9 = 11
now we can check
9 + 11 = 20
hope this helps
thanks bye
can you also explain the steps for it
Answers
Answer:
110 degrees
Step-by-step explanation:
A full rotation is 360 degrees, meaning if I turned completely around so that I am facing the exact same place as where I started, I will have turned 360 degrees.
So, If I were to turn 180 degrees, I would have turned half the amount of 360 degrees, and I would be facing the opposite direction in relation to where I started.
360 degrees is represented by a circle with two intersecting lines in the middle, and it looks like the file I attached
180 degrees, being half of 360, is represented by half a circle.
The picture in your question is also half a circle, just without the outer lines.
That means the entire angle is 180.
Knowing this, we can subtract 70 from 180 to get the degree measure for x.
180 - 70 = 110
Hope this helps, I don't know if I explained it very well.
If tan(A+B)=8 and tan B = 1/57 find tan A
Step by Step Please
Answers
tan(A+B) = (tanA + tanB)/(1 - tanA*tanB)
Substitute the given values:
8 = (tan A + (1/57))/(1 - (1/57)*tan A)
Multiplying both sides by (1- (1/57)*tan A), we get:
8(1 - (1/57)*tan A) = tan A + (1/57)
Expanding and simplifying, we get:
8 - (8/57)*tan A = tan A + (1/57)
Bringing terms with tan A to one side, we get:
(8/57 + 1/57) = (9/57)*tan A
tan A = (9/57)*(58/8)
tan A = 9/4
Therefore, tan A = 2.25 (approx)
Question #9: A pool pumps 35 gallons of water in 7 minutes. How much water is pumped in an hour and ten minutes? *
Question #10: A movie theater had 250 visitors in 5hours. How many people visited per hour
Answers
Answer:
9) 350 gallons
10) 50 people/hr
Step-by-step explanation:
9)
1hr 10min = 70min
g / 70 = 35/7
g = 35/7 * 70
g = 350 gallons
--------------------------
10)
250/5 = 50 people/hr
how many anwsers do you have to miss to master in a math test
Answers
Answer:
It depends
Step-by-step explanation:
It depends on how many problems are in the test. If the test has a standard amount of ten questions, you can only miss one question if you want to get a solid 90%. If the test has twenty questions, you can miss two to get that 90%.
If you're going for an 80% (or B), you can miss two on a ten-question test and four on a twenty-question test.
Again, it all depends on the number of questions and what percentage you want to get on the test.