=========================================================
Explanation:
Points Q and R have the same y coordinate of 6.
This means they're on the same horizontal level and we can form a number line through these points. Think of Q and R being on the x axis.
Going from -4 to 8 is a distance of 12 units because either
-4-8 = -12 which flips to +12 or 12
8-(-4) = 8+4 = 12
Effectively I used absolute value for the first part to go from -12 to 12. Distance cannot be negative.
Alternatively, you can count out the number of horizontal spaces from -4 to 8 and you should count out 12 units.
--------------------------------
If you need to use the distance formula, then this is what the steps may look like:
[tex]Q = (x_1,y_1) = (-4,6) \text{ and } R = (x_2, y_2) = (8,6)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-4-8)^2 + (6-6)^2}\\\\d = \sqrt{(-12)^2 + (0)^2}\\\\d = \sqrt{144 + 0}\\\\d = \sqrt{144}\\\\d = 12\\\\[/tex]
In my opinion, the distance formula is overkill because we can simply apply subtraction or count out the number of spaces. It's up to you which you prefer you like better. Of course be sure to follow all instructions your teacher mentions.
If the two points weren't on the same horizontal level, then we would have no choice and have to use the distance formula. Or you could use the pythagorean theorem which is effectively what the distance formula is derived from.
Which statement is true about the effects of the transformations on the graph of function f to obtain the graph of function g. g(x) = f(x − 3) + 4 A. The graph of function f is shifted right 3 units and up 4 units. B. The graph of function f is shifted right 3 units and down 4 units. C. The graph of function f is shifted left 3 units and down 4 units. D. The graph of function f is shifted left 3 units and up 4 units. Reset Next
The option (A) "The graph of function f is shifted right 3 units and up 4 units. " is correct.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a transformation function:
g(x) = f(x - 3) + 4
The parent function is f(x).
First transformation:
x → (x - 3)
The function will shift right by 3 units.
Second transformation:
Add 4 to the function:
g(x) = f(x - 3) + 4
The function will shift up by 4 units.
Thus, the option (A) "The graph of function f is shifted right 3 units and up 4 units. " is correct.
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Leah's family took a road trip to Mount Rushmore. Leah fell asleep 44% of the way through the trip. If Leah fell asleep after they had travelled 132 miles, what was the total length of the trip?
The total length of the trip 190.08 miles
How you do it is to add the 44% of 132 to 132
= (132 + (132×44%))
What is the length?Length is a measure of distance. In the International System of Quantities, length is a quantity with dimension distance. In most systems of measurement a base unit for length is chosen, from which all other units are derived.
First, you have to find out how much 44% is. Change it into decimal form (0.44) and then multiply the two together.
132 × 0.44 is 58.08 miles.
Then you add that to the rest of the trip, 132 miles.
= (132 + 58/08
=190.08
The total length of the trip was 190.08 miles.
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In 1997 the U.S. population was approxiamately 266,667,000 people. At the rate of 440 prisoners per 100,000 population, about how many prisoners were inthe system
Answer:
Around 1.2 million
Step-by-step explanation:
If we multiply 266,667,000 by 440/100,000 we get about 1,173,334 which we can round to about 1.2 million
asap need help quick
Answer:
Answer:11
Step-by-Step Answer:
When we multiply 11 with 1\2 then thier answer will be 11\2
sin 30° right triangle
Answer:
The value of sin 30 degrees is 0.5. Sin 30 is also written as sin π/6, in radians. The trigonometric function also called as an angle function relates the angles of a triangle to the length of its sides.
...
Related Links
Sin 0 Degree Trigonometry Formulas
Inverse Cosine Law of Sines Formula
I can write a system of linear equations and inequalities from context.
One smartphone plan costs $40 per month and an
extra $3.50 per gigabyte of data used each month.
Another smartphone plan costs $75 per month and
$0.50 per gigabyte of data used each month.
Let c represent the cost of a phone plan, m represent
number of months, and g represent the number of
gigabytes of data used each month. Write a system of
two linear equations that could be used to determine
the number of gigabytes used in a month so that the
two phone plans cost the same amount.
Equation 1:
Equation 2:
An equation is formed of two equal expressions. The number of gigabytes that is used in a month so that the two phone plans cost the same amount is 11.6667 Gigabyte.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Let c represent the cost of a phone plan, m represent the number of months, and g represent the number of gigabytes of data used each month.
Equation1: C = 40m + 3.5mg = (40+3.5g)m
Equation2: C = 75m + 0.5mg = (75+0.5g)m
Equating C,
(40+3.5g)m = (75+0.5g)m
40 + 3.5g = 75 + 0.5g
3g = 35
g = 11.6667 gigabyte of data per month
Hence, the number of gigabytes that is used in a month so that the two phone plans cost the same amount is 11.6667 Gigabyte.
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Given the parent function p(x)=cos(x) what phrase best describes the transformation used to obtain g(x)= cos(x+a)-b, if a and b are positive constants
Find the 50th term of the sequence: 65536,49152,36846,27648
Step-by-step explanation:
first you should check whether the sequence is arithmetic and geometric .as you see the sequence is arithmetic with the common difference of -16384.
A helicopter flies 125 miles west and 20 miles north and lands.
The helicopter flies back on a direct course.
What is its bearing?
Evaluate the following expression.
(-3)-² =
Answer:
The answer to this is 9.
Step-by-step explanation:
First of all, you wrote the expression wrong, but that's okay. It's supposed to be written as (-3)².
Second of all, since multiplying two negatives makes a positive and squaring is just multiplying the integer to itself, then -3×-3=9. I hope this helps! :)
12.34
the measure of one interior angle of a rhombus is [tex]79^{\circ}[/tex] . what are the measures of the other three interior angles?
Step-by-step explanation:
a rhombus is a parallelogram with 4 identical sides.
it has therefore two pairs of equal angles.
as any quadrilateral the sum of all interior angles is 360°.
(and yes, as add-on, the diagonals bisect each other at right angles).
so, one interior angle is 79°.
that means it has a twin that is also 79°.
together they have 79×2 = 158°.
that leaves
360 - 158 = 202°
for the other 2 angles (they must be equal too).
so, each of them has
202/2 = 101°
so, the other 3 angles are
79°, 101°, 101°
Please help me quick !!
Will mark whoever is first brainliest
Answer:
c
Step-by-step explanation:
y goes up by 4, so the each step is by 4, so that is the slope, which is the number before x, and then you subtract 4 to find the y-intercept, and 3-4=-1
The point (-2,-3) is rotated 180 degrees counterclockwise about the origin. What is the y-coordinate of the resulting image
Which one of the following inequalities would require you to reverse the symbol?
a) 2x > -14
b) -14 < 2x
c) -14 ≤ 2x
d) -2x ≥ -14
While cooking a stew, Jim used 2/3 of a shaker of salt and 7/12 of a shaker of pepper. How
much more salt did Jim use?
Answer:
he used one 1/12 more of salt.
Step-by-step explanation:
2/3 I know equals 8/12
And
7/12 = 7/12 so
You just do
8/12 - 7/12 = 1/12
does someone mind helping me with this question? Thank you!
Answer:
41
Step-by-step explanation:
3(4)²-2(4)+1
48-8+1
41
Answer:
y = 39
:. ? = 39
Step-by-step explanation:
let y represent ?
while x = 4
:. 3x² – 2x + 1 = y
3(4)² – 2(4) + 1 = y
3(16) – 8 + 1 = y
48 – 9 = y
39=y
marry has to carry 323 apples from a farm to the market. how many baskets will she need, given that each basket can hold 48 apples?
Answer:
she will need about 7 baskets, the proper number is 6.7 but round up and its 7
Step-by-step explanation:
hope this helps!
Evaluate:
[tex]\bf{\sum^6_{n=0\:}(3)^n}[/tex]
Need help A.S.A.P., thank you! :)
Answer:
1093
Explanation:
Given expression:
[tex]\sf \huge{ \sum _{n=0}^6\left(3\right)^n}[/tex]Summation:
[tex]\sf a_0+\sum _{n=1}^63^n[/tex]Formula:
[tex]\sf \sum\limits_{i=1}^n x_i = x_1 + x_2 + \dots + x_n[/tex]Compute:
[tex]\rightarrow \sf 3^0 + 3^1 + 3^2 + 3^3 + 3^4 + 3^5 + 3^6[/tex]
[tex]\rightarrow \sf 1 + 3 + 9 + 27 + 81 + 243 + 729[/tex]
[tex]\rightarrow \sf 1093[/tex]
Answer:
[tex] \boxed{\rm \: SUM = 1093 }[/tex]
Step-by-step explanation:
Given:
[tex] \huge\rm {{ \sum}^6_{n=0\:} (3)^n}[/tex]
To Find:
Sum of the given finite series
Solution:
We'll use this formula:
[tex] \boxed{\rm SUM = a \cdot\bigg( \cfrac{1 - r {}^{n} }{1 - r} \bigg)}[/tex]
where,
a = first termr = ratio in between termsLet's find out the ratio R by using this formulae:
[tex] \rm \: r = \cfrac{a_{n + 1} }{a_n}[/tex]
According to the question,
[tex]\rm a_n = 3^n[/tex][tex]\rm a_{n+1}= 3^{n+1}[/tex]Substitute:
[tex] \rm \: r = \cfrac{3 {}^{n + 1} }{3 {}^{n} } [/tex]
Apply law of exponents:[a^m/a^n] = a^m-n
[tex] \rm \: r = {3}^{n + 1 - n} [/tex]
Rearrange it as:
[tex] \rm \: r = 3 {}^{n - n + 1} [/tex]
[tex] \rm \: r = 3 {}^{1} = 3[/tex]
So,the ratio R is 3.
Now let's find out the First term A.
To find, substitute the value of n in 3^n:
[It is given that n = 0][tex] \rm \: a = 3 {}^{0} [/tex]
[x^0 = 1][tex] \rm \: a = 1[/tex]
Hence, first term A is 1.
NOW Substitute the value of the first term A and ratio R onto the formulae of sum:
[tex] \rm \: a \cdot\bigg( \cfrac{1 - r {}^{n} }{1 - r} \bigg)[/tex]
a = 1r = 3n = 7Simplify.
[tex] \rm SUM = \rm \: 1 \times \cfrac{1 - 3 {}^{7} }{ 1 - 1 \times 3} [/tex]
[tex] \rm \: SUM = \cfrac{ - 2186}{1 - 3} [/tex]
[tex] \rm \: SUM = \cfrac{ \cancel{ - 2186} \: \: {}^{1093} }{ \cancel{ - 2} \: \: ^{1} } [/tex]
[tex] \rm \: SUM = 1093[/tex]
We're done!
Hence, the sum of the given Finite series is 1093.
[tex] \rule{225pt}{2pt}[/tex]
I don’t know how to do this please help
Answer:
84 cm²
Step-by-step explanation:
The figure has a uniform horizontal cross section, so its area is the product of that cross section length and its vertical dimension.
__
A = bh
A = (6 cm)(14 cm) = 84 cm²
The area of the shape is 84 square centimeters.
_____
Additional comment
You could decompose the figure into a rectangle with base 6 and height 8, and a parallelogram with base 6 and height 14-8=6. The area formula is the same for each: A = bh, so the area of the composite figure is ...
A = 6×8 +6×(14 -8)
= 6×(8 +(14 -8))
= 6×14 . . . . same as above.
43.7826087 rounded to the nearest tenth
Answer:
43.8
When you round look at the number after the one your rounding up to. If its greater than 5 round up. If its lower than 5 keep it the same number
please help I need this done today
Answer: 45 degrees
Step-by-step explanation:
90-45 = 45
Which equation can be solved by using this system of equations?
StartLayout Enlarged left-brace 1st Row y = 3 x Superscript 5 Baseline minus 5 x cubed + 2 x squared minus 10 x + 4 2nd Row y = 4 x Superscript 4 Baseline + 6 x cubed minus 11 EndLayout
The equation that can be solved using the system of equations is 4x^4 + 6x^3 - 11 = 3x^5 - 5x^3 + 2x^2 - 10x + 4
How to determine the equation?The correct formats of the equations are:
y = 3x^5 - 5x^3 + 2x^2 - 10x + 4
y = 4x^4 + 6x^3 - 11
To determine the equation, we substitute 4x^4 + 6x^3 - 11 for y in the first equation.
So, we have:
4x^4 + 6x^3 - 11 = 3x^5 - 5x^3 + 2x^2 - 10x + 4
Hence, the equation that can be solved using the system of equations is 4x^4 + 6x^3 - 11 = 3x^5 - 5x^3 + 2x^2 - 10x + 4
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Solve for x: 1 over 3 (2x − 8) = 4. (1 point)
Group of answer choices
2
6
10
10 over 3
Answer:
x=6
Step-by-step explanation:
[tex]2x - 8 = 4 \\ 2x = 4 + 8 \\ 2x = 12 \\ x = \frac{12}{2} \\ x = 6[/tex]
13. What is the surface area of the rectangular solid below using its net?
90 square units
108 square units
72 square units
84 square units
Answer:
108 square units
Step-by-step explanation:3 x 4 = 12
3 x 4 = 12
6 x 3 = 18
6 x 3 = 18
6 x 4 = 24
6 x 4 = 24
24(2) + 18(2) + 12(2) = 108 square units
Therefore, the surface area of the rectangular solid below using its net is 108 square units
please simplify the answer
Answer:
[tex] 56\: in^2[/tex]
Step-by-step explanation:
Surface area of the net = 4* Area of one triangle + Area of square[tex] = 4*\frac{1}{2}*4*5 + (4)^2[/tex][tex] = 40 + 16[/tex][tex] = 56\: in^2[/tex]There are 760 calculators,6 were defective what is the probability that a calculator chosen at random will be defective
Answer:
Unlikely
Step-by-step explanation:
well if you want the chance it’s unlikely. This is because you only have 6 defective calculators and the rest or majority are not defective.
Find f(2) if f(x)= (x +1)^2
Answer:
9
Step-by-step explanation:
substitute the x which is x= 2, so
f(2)= (2+1)^2
=(3)^2
=9
Answer:
9
Step-by-step explanation:
If the diameter of a youth baseball is 2. 8 inches and the diameter of an adult softball is 3. 8 inches, what is the approximate difference in their volumes? use 3. 14 for pi. round to the nearest tenth. recall the formula sphere volume = four-thirds pi r cubed. 1. 0 cubic inch 17. 2 cubic inches 40. 2 cubic inches 137. 8 cubic inches.
The approximate difference in their volumes is 17.2 cubic inches
How to determine the difference in the volume?The given parameters are:
Diameter, d = 2.8
Diameter, D = 3.8
The radii are the half of the diameter.
So, we have:
r = 1.4
R = 1.9
The volume of the balls is then calculated using:
[tex]V = \frac{4}{3}\pi r^3[/tex]
The difference is then represented as:
[tex]D = \frac{4}{3}\pi (R^3 - r^3)[/tex]
Substitute known values
[tex]D = \frac{4}{3}* 3.14* (1.9^3 - 1.4^3)[/tex]
Evaluate
D = 17.2
Hence, the approximate difference in their volumes is 17.2 cubic inches
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A rectangle is 29 feet long and 7 feet long. What is the area of this rectangle?
Answer: 203
Step By Step Explanation: Just multiply the numbers.
Answer:
Area = 203 [tex]ft^{2}[/tex]
Step-by-step explanation:
The area of a rectangle can be found using this equation:
Area = length x width
The length given is 29 feet, and the width is 7 feet.
Let's plug these into the equation:
Area = (29)(7) = 203 [tex]ft^{2}[/tex]
Therefore, the area of the rectangle is 203 [tex]ft^{2}[/tex].
Hope this helps! If you have any questions about my work, please let me know down in the comments!
In a lab, a substance was cooled by 6 degrees celsius each hour for 12 hours.
The total change in temperature was what?
Answer:
72 degrees 72° Celsius. It changed by 72 degrees.
Step-by-step explanation:
6 * 12 because it changed 6 degrees each hour for 12 hours
6 *
12
—-
72
Answer:
72 degree Celsius
Step-by-step explanation:
Since every hour the temperature is cooled by 6⁰C and the total time spent was 12 hour we can do a simple multiplication shown:
6 * 12 = 72