The constant rate of change for the tables are:
First table: 10
Second table: 12.
Third table: 1/12.
Last table: 1/10.
How to Find the Constant Rate of Change of a Table?To find the constant rate of change (k) of a table of x and y variables, the formula that can be used is:
k = y/x.
Any pair of values, (x, y), from the given table can be used in finding the constant rate of change between the two given variables in each of the tables.
a. The constant rate of change of the first table = 110/11 = 70/7 = 30/3 = 10.
b. The constant rate of change of the second table = 108/9 = 12.
c. The constant rate of change of the third table = 10/120 = 1/12.
d. Constant rate of change for the last table = 10/100 = 1/10.
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i need help bro who knows how to do
this ?
Answer:
Equation A has the larger y intercept.
Equation A has a y-intercept of 2
Equation B has a y intercept of -5
Step-by-step explanation:
Equation A is in the slope intercept form of a line.
y = mx + b. The number in the b place is the y-intercept.
y = 5x + 2. The 2 is in the intercept place so the y-intercept is 2.
Equation B is written in the standard form of a line.
5x + 4y = -20
If I let x = 0, I can solve for the y intercept.
5(0) + 4y = -20
4y = -20 Divide both sides by 4
y = -5
This would be point (0,-5). The y-intercept is always boing to be when x = 0.
whats is 23x10 to the third power need help now
The expression 23 x 10 to the third power has a value of 23000
How to evaluate the expression?The mathematical statement is given as
"What's is 23x10 to the third power"
This can be represented as
23 x 10 to the third power
The third power represents the power of 3
i.e A number to the exponent of 3
So, we have
23 x 10 to the third power = 23 x 10^3
Express 10^3 as 1000
23 x 10 to the third power = 23 x 1000
Evaluate the product
23 x 10 to the third power = 23000
Hence, the solution is 23000
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TRUE OR FALSE. Does the equation match the graph?
Answer: false
Step-by-step explanation:
Answer:
False
Step-by-step explanation:
To start, the intersection is wrong, also the slope is -6 not 6/5
The equation is y=-6x+1
Jonathan needs to buy some food for his dog. At the nearest store, 7 bags of dog food cost $21.49. How much would Jonathan spend on 5 bags?
$13.21
$16.49
$15.35
$12.35
Answer:15.35
Step-by-step explanation:
knowing 7 bags is 21.49 we can divided 21.49 dollars by the amount of bags we have to get how much money is one bag which is 3.07 so after that we multiply by 5 for 5 bags and get our answer 15.35
first 6 terms of -2
first 6 terms of 4
A geometric sequence's first 6 terms add up to 9 times the sequence's first 3 terms. Identify the typical ratio. A (rn-1) / r - 1 is the formula for the sum of n terms in a geometric series, where a, r, and n are the series's initial term, ratio, and number of terms, respectively.
In the sequence -2, 4 what is the total of the first six terms?1.a1 = 10 d =-1
an = 10 n + (-2) (-2)
a1 = 10(1) + (-2) = 10 - 2 = 8, a2 = 10(2) + (-2) = 20 - 2 = 18, a3 = 10(3) + (-2) = 30 - 2 = 28, a4 = 10(4) + (-2) = 40 - 2 = 38, a5 = 10(5) + (-2) = 50 - 2 = 48,a16 = 10(6) + (-2) = 60 - 2 = 58.2. a1 =8 d =4
a1 = - 8 (1) + 4 = -8 +4 = -4 a2 = - 8 (2) + 4 = -16 +4=-12 a3 =-8 (3) + 4 = - 24 + 4 = -20a4 = -8 (4) (4) + 4 = -32 + 4= -28 a5= -8 (5) + 4 = -40 + 4 = -36a6=-8 (6) + 4 =- 48 +4 =-44To Learn more About first 6 terms, Refer:
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Triangle MNO is shown
witch triangle can be shown to be congruent to triangle MNO with only the given information?
Answer: The 2nd one from the top
I WILL GIVE 50 POINTS TO THOSE WHO ANSWER THESE PROBLEMS RIGHT NOOOO SCAMS PLEASE AND SHOW ME THE STEPS THIS IS DUE TOMMOROW
Answer:
1. You forgot to say what we have to do, we can't simplify or solve... so what do we do??
2. could you please rewrite on computer sorry I can't understand some
Step-by-step explanation:
Just checking if I'm right but
1. 6x² y + 14y²
2. 16x²+44
3. 26⁶ + 106⁴ -70
4. 81y² - 36
5. x² - 12 * + 27?
Properly rounding 190.4592785 to the nearest tenth gives
The proper rounding of 190.4592785 to the nearest tenth gives 190.4.
What is round to the tenth?Look at the next place value to the right to round a number to the closest tenth (the hundredths). Simply eliminate all the numbers to the right if the number is 4 or fewer.
Add one to the digit in the tenth place if the number is five or above, and then eliminate all the digits to the right.
To round digits to the tenth means after the decimal there is only one number. It is tenth place.
190.4592785 = 190.4
Therefore, the nearest round to the tenth is 190.4.
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Rounding to the nearest whole
number, which of the following give an
underestimate?
2.7 x 13.5
4.51 x 8.7
9.19 x 8.48
7.49 x 11.4
3.6 × 6.5
Answer:
I attached answer list respectively
Type SSS, SAS, ASA, AAS, or HL to justify why triangle ABC is congruent to triangle AED.
BC = ED
The congruency of triangle ABC and triangle AED is based on SAS ( Side Angle Side )
What are congruent triangles?The term congruent triangles refer to triangles that are equal in size of sides as well as size of the angles corresponding to each side or angle.
The congruent triangle theorem are of some basic theorems which include
SSS: Side Side SideSAS: Side Angle SideAAS: Angle Angle Side HL: Hypotenuse Leg ( for right angle triangles only )As regards the question the theorem used is the Side Angle Side - SAS. This has it that the two sides and the included angle are equal.
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Answer: AAS
Hope this helps!
Make v the subject
KE=1/2 mv^2
The solution of the equation for v is [tex]v = \sqrt{\frac{2KE}{m}}[/tex]
What is subject of formula?This involves isolating a variable in an equation different from the initial isolated variable
How to determine the equation for v?The equation is given as
KE = 1/2mv²
Divide both sides of the equation by m
So, we have the following equation
KE/m = 1/2mv²/m
Multiply both sides of the equation by 2
So, we have the following equation
2KE/m = 2 * 1/2mv²/m
Evaluate the quotients and the products
2KE/m = v²
Take the square roots
[tex]v = \sqrt{\frac{2KE}{m}}[/tex]
By the above computation, we changed the subject of the formula in KE = 1/2mv² from KE to v.
This implies that solving for v is a concept of subject of formula
Hence, the solution is [tex]v = \sqrt{\frac{2KE}{m}}[/tex]
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9. Construct Arguments Al made a tree house last summer. He started by
making a model. The model included a window with a height of inch
and a width of inch. The actual window had a height of yard and a
width of yard. Was Al's model an accurate representation? Explain.
Answer:
yes
Step-by-step explanation:
if the model was x inches × y inches it is going to be the exact same number as the actual window just in years for instance if the windows is 9 Sq yards it would be 3 yard × 3yard and the model would have been 3 inches ×3
(1 point)
In 2003, the price of a certain automobile was approximately $31,500.00 with a depreciation of $2,280.00 per year. After how many years will
the car's value be $17,820.00?
a) Write an equation to model the problem. Let t represent the number of years after 2003.
Answer:
b) Solve the equation to answer the question above. (Note: Include the units, in this case years.)
Answer:
Answer:
y = -2280x + 31,500
or
when x = 6
so 6 years
Step-by-step explanation:
y = -2280x + 31,500
y = -2280(6) + 31,500
y = -13,680 + 31,500
y = 17,820
Please hurry!!
What is the slope of the line that contains the points negative 3, negative seven halves and (2, −4)?
one fourth
one tenth
negative one tenth
negative one fourth
Answer:
0.7
Step-by-step explanation:
This question tests on the concept of slope or gradient of a line.
We know that the equation, m, for a slope =
[tex] \frac{y2 - y1}{x2 - x1} [/tex]
We can identify 2 points from the question as (x1, y1) and (x2, y2) to solve for the gradient, and therefore they are:
(x1,y1) as (-3,-7.5)
(x2,y2) as (2,-4)
Now we can substitute these values in to solve for the slope.
[tex] \frac{ - 4 - ( - \frac{7}{2})}{2-(-3)} \\ = \frac{ - 4 + frac{7}{2}}{5} \\ = \frac{-0.5}{5} \\ = - \frac{1}{ 10} \\ = -0.1[/tex]
fwweee points hmu cause why not
Answer:
thank you
Step-by-step explanation:
no
body
needs
your
free point
be serious
Which of the following represents the area of a rectangle whose length is 3x + 5 and whose width is x - 2?
03x²-x-10
O 3x² - 10
O3x²+x-10
O 3x² - 11x10
Find the measure of AB.
Thank you
Answer:
15
Step-by-step explanation:
5x=4x+3
x=3
AB=5x
AB=5(3)
AB=15
easy (can anyone help with write an equation for this)
The equation of slope-intercept form is y = mx - m.
What is slope-intercept form?
A line's equation can be written in the slope-intercept form such that the slope (steepness) and y-intercept (where the line crosses the vertical y-axis) are instantly visible. This form is commonly referred to as the y = mx + b form.from the graph points are ( 1 , 1 )
So, x = 1 & y = 1
Equation is y = mx + c
put the value (x, y)
1 = m * 1 + c
1 = m + c
c = - m
y = mx - m
the equation is y = mx - m
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or a science experiment, Tibs dropped two different balls from various heights and recorded the height of the first
unce. The graph shows the data for ball A (the solid line) and ball B (the dashed line). What was the height of the f
punce of ball A when the initial height of the ball was 5 feet? What was the initial height of ball B that resulted in a be
eight of 2 feet?
Click the icon to view the graph.
e height of the first bounce of ball A was
pe an integer or a decimal.)
feet when the initial height of the ball was 5 feet.
r your answer in the answer box and then click Check Answer.
art savas realize
The gravity is working. Energy-based items are affected by gravity. The vertical motion model, h = -16t2 + vt + s, where v is the initial velocity in feet/second and s is the height in feet, to calculate the maximum height of the ball.
Why is initial height important?The distance traveled in flight increases with release level. This is because the projectile will stay in the air longer if it is launched higher. The projectile will be under the influence of the horizontal component longer.
The beginning vertical velocity determines the maximum height. Increasing the launch angle raises the maximum height because steeper launch angles have a larger vertical velocity component.
Greater maximum height is associated with greater launch angles.
Greater relative projection height results in longer flight time, which increases horizontal displacement when projection speed is constant.
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Answer the question below
Answer:1375 km^2
Step-by-step explanation: I just did 1900x0.9475 6 times to show the decrease
a country's population and the growth rate in 2011 are given below. assume the growth rate remains the same from year to year. Use this information and an exponential model to estimate the country's population in the specified yearpopulation = 105 milliongrowth rate = -0.657%year, 2024the size of the population in 2024 will be about ____ million (round to the nearest hundredth as needed)
A general exponential model can be described by:
[tex]P(x)=A\cdot b^x[/tex]Where A is the initial condition, and b is the growth factor. From the problem, P is the population (in millions); if x is the number of years passed since 2011, then x = 0 in 2011:
[tex]105=A\cdot b^0\Rightarrow A=105[/tex]We know that the growth rate is -0.657% = -0.00657. The growth rate r and the growth factor b are related by:
[tex]b=1+r\Rightarrow b=1+0.00657=0.99343[/tex]Our model is now complete:
[tex]P(x)=105\cdot0.99343^x[/tex]For the year 2024, x = 13 years have passed. Then, we calculate the population using our model (rounding to the nearest hundredth):
[tex]P(x=13)=105\cdot0.99343^{13}=96.38[/tex]The size of the population in 2024 will be about 96.38 million
A system of linear equations is graphed.
Which ordered pair is the best estimate for the solution to the system?
The ordered pair that is the best estimate for the solution to the system is (1/2,0).
Ordered pair:
An ordered pair is the composition of the x coordinate and the y coordinate , having two values written in a fixed order within parentheses.
Given,
Here we have the graph.
And we need to find the the best estimate for the solution to the system.
While we looking into the graph we have identified, that both line will intersect at some point.
Basically the solution of the graph is also the same point.
So, when we look into the graph we have identified that the value of y at the intersecting point is 0. Because the line will pass the x - axis line.
So, here we have to identify the x value of the solution,
this one the value of x is greater than or equal to 0.5. Because the line will be pass in between 0 and 1.
Considering all these details, the solution pair is (1/2 ,0).
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The smith twins, joe and john, have a car collection. the number of cars is represented by x. the number of cars in joe's collection is 2 times the number in john's collection. the total number in both is 78. what is x, the number in john's collection?
Answer: 39
Step-by-step explanation: what is x, the number in john's collection
so basically 2*39 is 78 the number in john's collection is 39 because you are trying to find the nubers of cars
vertex (-5,3) and passes through (-4,2)
The equation of the parabola that has a vertex at (-5,3) and passes through (-4,2) is y = [tex]-x^2-10x-22[/tex]
The vertex of the parabola = (-5,3)
Passing through the point = (-4,2)
The equation of the parabola in the vertex form y = [tex]a(x-h)^2+k[/tex]
(h,k) is the vertex of the parabola
h = -5
k = 3
Substitute the values in the equation
y = [tex]a(x+5)^2+3[/tex]
Here the parabola is passing through the point (-4,2)
Substitute this value in the equation and find the value of a
2 = [tex]a(-4+5)^2+3[/tex]
2 = a×1+3
2 = a+3
a = 2-3
a = -1
Then
y = [tex]-1(x+5)^2+3[/tex]
y = [tex]-1(x^2+10x+25)+3[/tex]
y = [tex]-x^2-10x-25+3[/tex]
y = [tex]-x^2-10x-22[/tex]
Hence, the equation of the parabola that has a vertex at (-5,3) and passes through (-4,2) is y = [tex]-x^2-10x-22[/tex]
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what statement is true about f(x)= -6|x+5|-2
Answer:
Its parent function is y = |x|f(x) is |x|- reflected across the x-axis
- vertically scaled by a factor of 6
- translated 5 units to the left
- translated 2 units down
[tex]5^{2}+ 10^{2} \neq 15^{2}[/tex]
Isaac is getting balloons for his aunt's birthday party. He wants each balloon string to be 9 feet long. At the party store, string is sold by the yard. If Isaac wants to get 77 balloons, how many yards of string will he need?
Answer: 231
Step-by-step explanation: 1 yd = 3 ft so 9 ft=3 yd 77*3=231
students are asked to evaluate the food provided in the university cafeteria on 7-point scales with bipolar/antonym adjectives such as poor–good and inexpensive–expensive. what type of scales do these measures represent?
The given scales which measure the attitude of a person is an ordinal scale such as a Likert scale
What is an ordinal scale?An ordinal scale provides a report of the rating, order or rank of a data without stating the extent of variation between the categories.
There are many types of rating scales used to directly measure the attitude of a person towards a subject matter.
The Likert scale which is the most widely used rating scale, when applied, consists of a five or seven point scale, that empowers the subject of the survey to express how much they agree (or disagree) with a specified statement.
Generally, five options, graded from, mild to extreme are provided so that the survey subject can indicate (express), their strength of how much they agree with or feel about the statement or question
The assumptions of the Likert scale includes;
The ability to measure attitudes.The intensity or strength of an attitude is linear, such that the attitude varies linearly from strongly agree to strongly disagreeBased on the perception of the subject, Likert scale can be used to also measure the variations of the following subject matters;
Likelihood of an event or occurrenceThe importance of a product or serviceThe quality perception of an objectThe frequency of an eventLearn more about Likert–type scales here:
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help me answer this pls
-1/2 is the slope of the line that passes through the points (12,-1) and (-2,6).
Slope is simply expressed as change in y over the change in x.
The slope formula is expressed as;
Slope m = ( y₂ - y₁ )/( x₂ - x₁ )
Given the data in the question;
Point 1( 12, -1 )
x₁ = 12y₁ = -1Point 2( -2, 6 )
x₂ = -2y₂ = 6To determine the slope of the line, plug the given coordinates into the slope formula above.
Slope m = ( y₂ - y₁ )/( x₂ - x₁ )
Slope m = ( 6 - (-1) )/( -2 - 12 )
Slope m = ( 6 + 1) )/( -2 - 12 )
Slope m = ( 7 ) )/( -14)
Slope m = -7/14
Slope m = -1/2
Therefore, the slope of the line is -1/2.
Option F is the correct answer.
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Which figure is the image of Figure 1 after a reflection over the y-axis and a translation 3 units down?
When we perform a reflection over the y-axis then the y-coordinates remain the same but the x-coordinates are inverted (opposite sign).
Example:
As you can see in the above figure, a reflection over the y-axis would look like this.
When we perform a translation of 3 units down then the shape gets shifted downwards by 3 units.
Example:
Therefore, we can see that figure B is the correct answer.