Answer:
Slope is the line measurement of steepness.
Step-by-step explanation:
It can be calculated by "rise over run".
It is usually represented by the letter M.
The equation for slope is y^2 - y^1 divided by x^2 - x^1
I hope this helped.
Of course I can! So when we are given a line, all you have to do it find the INTERCEPT along the y-axis and then find the rate at which it goes up or down. Now this is just for linear. Their is also exponential and quadratic when you get to that level. In linear, we go up at a constant rate. Same with quadratic. But exponential doesn't increase in equal increments.
If we look at the image attached, you can see that the line intercepts the y axis at (0,7), and to find the actual slope of the line, we do rise over run. So we do the change in y over the change in x. So for the example provided, we go up 1 and then run 4. So the slope of this line is 1/4. And when we use slope-intercept form, y=mx+b. After the slope, we put an x. You were most-likely taught in school to use slope-intercept form when graphing a line.
So our slope of the example is 1/4 and our y-intercept is 7.
So our equation is
y=1/4x+7
I hope that this was able to help you! :)
If you need more help, consider Khan Academy or tutoring with your teacher!
Also, the Desmos Graphing Calculator is a great resource for graphing lines!
A cookie recipe calls for 2 cups of m&m's to make 12 cookies. How many cups of m&m's are needed to make 84 cookies
Answer:
14 cups of m&m's to make 84 cookies
Step-by-step explanation:
If it takes 2 cups of m&m's to make 12 cookies. then you need to see how many times the original recipe will go into 84. Seeing that 84/12=7 you would need to multiply the original recipe by 7.
For example:
84/12=7 This is how many times the recipe is multiplied if you make 84 cookies.
2x7 is the amount of m&m's you would need to make the larger batch of cookies.
HELP!!!
If Mary divides one third of a pound of coconut equally between 8 desserts, how much goes into each dessert?
A. eight twenty fourths of a pound
B. 11 pounds
C. 24 pounds
D. one twenty fourth of a pound
Answer:
D
Step-by-step explanation:
(1/3) / 8
= (1/3) * (1/8)
=1/24
Answer:
D
Step-by-step explanation:
\( \frac{1}{3} \div 8 = \frac{1}{24} \)Find the component form of the vector that translates A(-4,8) to A'(7,-9)
The component form of the vector that translates A to A' is (11, -17)
A translation is a type of transformation that takes each point in a figure and slides it the same distance in the same direction.
In translation, the shape of the figure does not change but its size may change.
Other transformation processes are reflection and rotation.
The component form of the vector is governed by the rule; A' - A
so we subtract corresponding x- coordinates and corresponding y- coordinates
A' - A = (7, -9) - (-4, 8)
= ( 7 - - 4, -9 - 8)
-= ( 11, -17)
In conclusion, the vector that translates A to A' is ( 11, -17 )
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Tell whether each function is linear or nonlinear. Use the drop-down menus to show your answer.
slope of (-5,1) and (0,9)
Answer:
8/5
Step-by-step explanation:
When we have two points , we can use the slope formula
m = ( y2-y1)/ ( x2-x1)
= ( 9-1)/(0--5)
(9-1)/(0+5)
8/5
Answer:
The answer is
\( \frac{8}{5} \\ \)Step-by-step explanation:
The slope of a line given two points can be found by using the formula
\(m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\ \)
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(-5,1) and (0,9)
The slope is
\(m = \frac{9 - 1}{0 + 5} = \frac{8}{5} \\ \)
We have the final answer as
\( \frac{8}{5} \\ \)
Hope this helps you
In a scatter plot, if all data points were aligned along a 45° angle, your correlation would be:
A) Of medium strength
B) Of weak strength
C) Perfect
D) 0
E) None of the above
Answer:
C) Perfect correlation
The figure below is made up of 1 centimeters cubes, What is the volume of the figure?
Answer:
15 cubic centimeters
Step-by-step explanation:
The figure is in the shape of a rectangular and the formula for volume of such a rectangular box is
V=lwh, where V is the volume, l is the length, and h is the height.
Since each cube is 1 cm, we see that the length is 5 cm (1 cm cube * 5 = 5 cm), the width is 3 cm (1 cm cube * 3 = 3 cm), and the height is 1 cm (1 cm cube * 1 = 1 cm).
Thus, we the product of our length, width, and height will give us the volume of the figure:
V = 5 * 3 * 1
V = 15 cubic centimeters
Sanford's gym coach made him run 20 laps on a 400 m track. How many kilometers did he run? How many miles?
Answer:
8km 5mi
Step-by-step explanation:
20x400=8000meters a km = to 1000meters
8000/1000=8km
A mile is a kilometer/ 1.6 8/1.6=5 miles
Sanford ran approximately 8 kilometers and about 4.97 miles.
Given that a coach made someone run 20 laps on a 400 m track.
We need to find the number of mile he ran as well as number of kilometers he ran.
To find out how many kilometers Sanford ran, we can use the fact that 1 kilometer is equal to 1000 meters.
Similarly, to find out how many miles he ran, we'll use the conversion factor of 1 mile being equal to approximately 1609.34 meters.
Let's calculate it:
1 lap = 400 meters
20 laps = 20 x 400 = 8000 meters
Kilometers:
8000 meters ÷ 1000 meters/kilometer = 8 kilometers
Miles:
8000 meters ÷ 1609.34 meters/mile ≈ 4.97 miles
So, Sanford ran approximately 8 kilometers and about 4.97 miles.
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Write this algebraic expression in word form
Answer:
5(25-w)+3/w
125-5w+3/w
Which equation is represented in the graph? parabola going down from the left and passing through the point negative 3 comma 0 then going to a minimum and then going up to the right through the points 0 comma negative 6 and 2 comma 0 Group of answer choices y = x2 − x − 6
The equation represented by the graph is: y = x² - x - 6. We can solve it in the following manner.
The vertex of the parabola is at (0, -6). We can calculate it in the following manner.
Yes, the equation represented by the graph is: y = x² - x - 6
This is a quadratic equation in standard form, where the coefficient of the x² term is positive, which means that the parabola opens downwards. The equation has a y-intercept of -6 and crosses the x-axis at x = -1 and x = 3. The vertex of the parabola is at (0, -6).
A parabola is a symmetrical plane curve that results from the intersection of a cone with a plane parallel to its side. It is a type of conic section, along with circles, ellipses, and hyperbolas.
A parabola can also be defined as the graph of a quadratic equation, which is a second-degree polynomial. The general form of a quadratic equation in one variable is:
ax² + bx + c = 0
Where a, b, and c are constants and x is the variable. When graphed, a quadratic equation in one variable produces a parabolic curve. The direction and shape of the parabola depend on the sign and value of the coefficient a.
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In Europe, surveyors often measure angles in grads. There are 100 grads in one-quarter of a circle. How many grads are there in 1.85 radians?
The answer is 117.749 .
The relation between radians and grads is as follows: π/200 rad = 1 grad. We have to find the number of grads in 1.85 radians. Let's do the calculation as shown below:1 rad = 200/π grads1.85 rad = (200/π) × 1.85 grads = (370/π) gradsTherefore, there are approximately 117.749 grads in 1.85 radians. Hence, the answer is 117.749 (approx).
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Which z-values correspond to the bottom 48% of the standard normal distribution?
Answer:
-0.11
Step-by-step explanation:
Using a standard normal distribution table or calculator, we can find that the closest z-value to 0.48 in the table is -0.11.
This means that approximately 48% of the area under the standard normal distribution is to the left of -0.11.
a tea shop sells 42 varieties of boxes of tea. iroh purchases 5 boxes of tea. how many ways are there for iroh to make a selection if there is no restriction on the varieties of tea purchased from the shop?
what is the corrct answer
PLEASEEEHELP ALG 1
HURRY THIS IS DUE IN 5 MIN!!!!
Answer:
The correct answer would be D, Right Five Units :)
Step-by-step explanation:
I hope this helps, if it doesn't then just message me and ill be more than happy to help :)
Answer:
D right 5 units
Step-by-step explanation:
(x-5) shifts the values 5 units to the right
Walter used the iterative process to determine that √13 is between 3.61 and 3.62. Analyze Walter's estimation. Is he correct? If not, what was his mistake?
Question options:
A. Yes, Walter is correct.
B. No 3.612 is less than 13.
C. No, both 3.612 and 3.622 are greater than
D. No, both 3.612 and 3.622 are less than 13
Answer:
C. No, both 3.612 and 3.622 are greater than the square root of 13
Explanation:
13 is a prime number and must have a decimal number as its square root and so the square root should be between √9 and √16
Using the Newton Raphson method to estimate the square root of 13 with the formula: ai +1= ai²+n/2ai
We get square root of 13 = 3.6055512
This is the same result we get using a calculator to calculate square root of 13= 3.6055512
So yes Walter is not correct
Find the area of both shapes:
Areas of the SKCO and STAR are 9.5 unit² and 12 unit²
Finding area:
To find the area of a geometric shape in a grid paper, we need to count the total number of smaller squares inside the larger shapes. Here we ignore the squares which are smaller than half of the squares. We can count 2 half squares as 1 particular square.
Here we have
2 Quadrilaterals SKCO and STAR
Here to find the area of the shapes we can simply count the number of squares in each shape
For SKCO
Here is a total number of 8 complete squares and 3 half squares
Hence area of SKCO = 8 + 1 + 1/2 = 9.5 square units
For STAR
Here a total number of 8 complete squares and 4 squares that are more than half of the squares
Hence, Area of the STAR = 8 + 4 = 12 square units
Therefore,
Areas of the SKCO and STAR are 9.5 unit² and 12 unit²
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Help pls! This is timed
Answer:
c. is correct
Step-by-step explanation:
hipe its attachments
Point M is the midpoint of FG. Can the value of variable a be determined? Explain.
a
G(24,30+3)
M(3,5)
F[b+1 a+2)
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. To determine the value of a, set up and solve a system of equations in two variables. The value of a is
B. To determine the value of a, set the x- and y-coordinates of G and Fequal to each other and solve for a The value of a is
C. To determine the value of a, divide each coordinate of M by 2. Then add each quotient to the x-and y-coordinates of M. The value of a is
D. Not enough information is given for the value of a to be determined.
Answer:
A. To determine the value of a, set up and solve a system of equations in two variables. The value of a is 2
Step-by-step explanation:
Given the coordinates F(b+1, a+2, M(3,5) and G(2a, 3b+3), if M is the midpoint of F and G then, to get the value of a and b we will use the formula for calculating the midpoint a shown;
M(X, Y) = (x₁+x₂/2, y₁+y₂/2)
X = x₁+x₂/2 and Y = y₁+y₂/2
From the given coordinates x₁ = b+1, y₁ = a+2, x₂ = 2a, y₂ = 3b+3, X = 3 and Y = 5
Substituting the given parameters into the formula, we can form up a simultaneous equation and get the value of a.
To determine the value of a, set up and solve a system of equations in two variables
For the X coordinates;
X = x₁+x₂/2
3 = b+1+2a/2
6 = 2a+b+1
2a+b = 5 ............... 1 * 1
For the Y coordinates;
5 = a+2+3b+3/2
cross multiply
10 = a+2+3b+3
collect like terms
a+3b = 10-2-3
a+3b = 5 ........ 2 * 2
Solving the resulting simultaneous equation to get the value of a
multiply equation 1 by 1 and 2 by 2 to have the resulting equations;
2a+b = 5 ...........3
2a +6b = 10.......... 4
subtract 3 from 4
(2a-2a)+(b - 6b) = 5-10
0-5b = -5
b = -5/-5
b = 1
substitute b =1 into equation 1 to get a;
2a + b = 5
2a + 1 = 5
2a = 5-1
2a = 4
a = 2
From the calculation above it is seen that the value of variable a can be determined and it is equivalent to 2
The height, h(t), in feet of an object thrown into the air with an initial upward velocity of 104
feet per second is given by the formula h(t) = -1672 + 1047, where t is the time in seconds. What
is the height of the object after 4 seconds?
Answer:
160 feet
Step-by-step explanation:
h(t) = -16t² + 104t
h(4) = -16(4)² + 104(4)
h(4) = 160
Katya decided that she could not afford the $48,000 it would cost her to attend college and get her four-year degree. Instead, she entered the full-time workforce four years earlier than her peers who went to college. During those four years, she earned a total of $90,000. However, without a college degree, Katya made an average of $10,000 less than she could have with a degree every year for the 40 additional years of her career. What was the long-term financial cost of Katya deciding to not attend college?
Answer: $310,000
Step-by-step explanation:
In 40 additional years, the amount she made less than her college counterparts was;
= 10,000 * 40
= $400,000
She however made $90,000 more than them as they went to college;
= 400,000 - 90,000
= $310,000
The long-term financial cost was $310,000.
Find the indicated conditional probability
using the following two-way table:
Grade
Drive to school
Take the bus
Walk
Sophomore
2
25
3
Junior
13
20
2
Senior
25
5
5
P( Drive to school | Senior ) = [?]
Round to the nearest hundredth.
Given:
The two way table.
To find:
The conditional probability of P(Drive to school | Senior).
Solution:
The conditional probability is defined as:
\(P(A|B)=\dfrac{P(A\cap B)}{P(B)}\)
Using this formula, we get
\(P(\text{Drive to school }|\text{ Senior})=\dfrac{P(\text{Drive to school and senior})}{P(\text{Senior})}\) ...(i)
From the given two way table, we get
Drive to school and senior = 25
Senior = 25+5+5
= 35
Total = 2+25+3+13+20+2+25+5+5
= 100
Now,
\(P(\text{Drive to school and senior})=\dfrac{25}{100}\)
\(P(\text{Senior})=\dfrac{35}{100}\)
Substituting these values in (i), we get
\(P(\text{Drive to school }|\text{ Senior})=\dfrac{\dfrac{25}{100}}{\dfrac{35}{100}}\)
\(P(\text{Drive to school }|\text{ Senior})=\dfrac{25}{35}\)
\(P(\text{Drive to school }|\text{ Senior})=0.7142857\)
\(P(\text{Drive to school }|\text{ Senior})\approx 0.71\)
Therefore, the required conditional probability is 0.71.
Answer:
.71
Step-by-step explanation:
Am I correct? I don’t think I am, please explain how i can get the right answer if I got it wrong, thank you!
A satellite orbiting Earth travels 14 1/2 miles every 3 seconds. How far does the satellite travel in 3/4 minute?
The satellite travels ___ miles.
Answer:
that's wrong, its 217 1/2 miles
Step-by-step explanation:
3/4 of a minute is 45 seconds
the easiest way to this is you figure there is 15 intervals of 3 seconds in 45 seconds so do 15 times 14.5 and get 217 1/2 miles
Hence, it is wrong because it would be \(217\frac{1}{2}\).
What is the simplification?
Simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.
Here given that,
A satellite orbiting Earth travels \(14\frac{1}{2}\) miles every \(3\) seconds.
So, the satellite orbiting Earth travels \(\frac{3}{4}\) miles every \(45\) seconds.
As per this here are \(15\) intervals of three seconds in \(45\) seconds so it is \(15\) times of \(14.5\)
So, when we do it in \(15\) times of \(14.5\) then,
\(14.5+14.5+14.5+14.5+14.5+14.5+14.5+14.5+14.5+14.5+14.5+14.5+14.5+14.5+14.5=217.5\)
i.e., \(217\frac{1}{2}\) miles
Hence, it is wrong because it would be \(217\frac{1}{2}\).
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Find x if f(x)=2x+7 and f(x)=-1
Answer: -4
Step-by-step explanation:idk
Answer:
x= -4
Step-by-step explanation:
Take the two functions to equal to eachother, bring 7 to the right side of the equal sign which will now be negative and minus it with -1 to get -8 . Then divide 2 both sides to get x= -4.
Can somebody answer this ?? :)
Answer:
Because the dashed triangle is smaller than the original it's a reduction. The scale factor is 1/3 because if we look at the altitudes of the triangle, the original is 6 and the dilated is 2 and 2 / 6 = 1 / 3.
what base could be written in the blank to make the exponential function model 15% decay? y=(____)ᵗ⁄₁₂
0.85
1) Since the exponential model of decay points out, in this case, a devaluation. then, we can write the following for a 15% decay:
\(\begin{gathered} y=a(1-0.15)^{\frac{t}{12}} \\ y=a(0.85)^{\frac{t}{12}} \end{gathered}\)Note that 1, refers to 100%. And a to the initial value.
2) So the base is 0.85 and a is the initial value. This function will provide us the devaluating value over time.
Kate is filling her income tax return. Her tax from last year was $973 her employer withheld $712 in federal income taxes. How much does she receive as a refund, or how much does she owe?
Kate is filling her income tax return. Her tax from last year was 973 her employer withheld 712 in federal income taxes. Kate owes an additional 261 in taxes.
Kate is filling her income tax return. Her tax from last year was 973, and her employer withheld 712 in federal income taxes. To determine how much Kate owes or how much she will receive as a refund, we need to calculate her total tax liability and compare it to the amount of tax withheld from her paycheck.
The amount of tax Kate owes or the amount of refund she receives is calculated by subtracting her total tax liability from the amount of tax withheld from her paycheck.
If Kate's total tax liability is more than the amount of tax withheld from her paycheck, she will owe the difference as additional taxes. If the amount of tax withheld from her paycheck is more than her total tax liability, she will receive the difference as a refund.
Kate's total tax liability can be determined by subtracting her tax deductions and credits from her taxable income. To calculate taxable income, we subtract tax exemptions and tax deductions from her gross income.
Taxable Income = Gross Income - Tax Exemptions - Tax Deductions
Kate's tax exemptions and deductions are not provided in the question, so we cannot calculate her taxable income and total tax liability. However, we can determine whether Kate will owe additional taxes or receive a refund by calculating the difference between her tax from last year and the amount of tax withheld from her paycheck.
Refund or Owe = Tax Withheld - Tax or Owe = 712 - 973 Refund or Owe = -261
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An appraiser is calculating a trapezodial site that has base of 150 feet, a height of 2000 feet and a second parrallel base of 100 feet. what is the square feet area of the site?
The area of the given trapezoidal site is 250,000 sq. ft.
What is the area of the trapezoidal?The area of the trapezoidal with the dimensions of both bases and the height is given by the formula,
Area = 1/2 × height × (base1 + base2)
Units: square units
Calculation:The given trapezoidal site has a base of 150 feet, i.e., base1 = 150 ft; a height of 2000 ft, i.e., height = 2000 ft and a parallel base of 100 feet, i.e., base2 = 100 ft.
Then, the area of the trapezoidal is
= 1/2 × 2000 × (150 + 100)
= 1/2 × 2000 × 250
= 250,000 sq. ft
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Factorise the following:
a) x^2 - 12x + 32
-
b) x^2 - 14x + 48
-
c) x^2 - 3x + 2
Answer:
A) (x + 4)(x + 8).
B) (x - 8)(x - 6)
C) (x - 2)(x - 1)
Step-by-step explanation:
Find the 12th term -7, -3, 1,
Answer:
\( \sf \: 12th \: term = 37\)
Step-by-step explanation:
Common difference (d) is,
→ d = a2 - a1
→ d = -3 - (-7)
→ d = -3 + 7
→ [ d = 4 ]
Now the 12th term will be,
→ a1 + (d × (n - 1))
→ -7 + (4 × (12 - 1))
→ -7 + (4 × 11)
→ -7 + 44
→ 37 => 12th term
Hence, the answer is 37.