Answer: The answer is y = 4/5x + 8.
Step-by-step explanation:
There is good reasoning behind why this is the answer. First, if you recall, parallel lines must have the same slope or they will at some point meet. With this information, you can pull from the given material that the slope for the equation you are trying to gather is 4/5.
Then, you can use the given point to find the y-intercept because the x-coordinate is 0 (directly on the y-axis) and your y-coordinate is 8. Your y-intercept is placed as a positive or negative value at the end of the equation (if in slope-intercept form), and because the 8 in the ordered pair is positive, you just need to add +8 to your equation.
With this information, you can conclude that the equation is y = 4/5x + 8.
(q^4)^z=q^12
find the value of z
Answer:
z = 3
Step-by-step explanation:
Using the rule of exponents
[tex](a^{m}) ^{n}[/tex] = [tex]a^{mn}[/tex]
Thus
[tex](q^{4}) ^{z}[/tex] = [tex]q^{4z}[/tex] , so
[tex]q^{4z}[/tex] = [tex]q^{12}[/tex]
Since the bases on both sides are equal then equate the exponents
4z = 12 ( divide both sides by 4 )
z = 3
Answer:
The value of z is 3.
Step-by-step explanation:
You have to use Indices Law,
[tex] {( {a}^{m}) }^{n} \: ⇒ \: {a}^{mn} [/tex]
So for this question, first you have to get rid of brackets :
[tex] { ({q}^{4} )}^{z} = {q}^{12} [/tex]
[tex] {q}^{4z} = {q}^{12} [/tex]
Next you can solve it since both have the same bases :
[tex] {q}^{4z} = {q}^{12} [/tex]
[tex]4z = 12[/tex]
[tex]z = 3[/tex]
The annual rainfall for two cities, Albany and Zachary, in each of the years from 2002 to 2011 are shown in the tables. Annual Rainfall for Albany (in.) 23.36 18.51 28.54 22.36 30.50 24.74 11.93 15.34 18.07 15.98 Annual Rainfall for Zachary (in.) 27.27 20.11 31.14 25.88 32.97 25.03 18.55 23.91 22.75 19.73 Find the mean for the two cities' annual rainfalls. In which city does it rain more in a year, on average? Drag and drop the correct choices into the boxes to complete the statement. On average, Albany gets _ inches of rain per year and Zachary gets _ inches of rain per year. on average, which city rains more zachary or albany?
Answer:
On average, Albani gets 20.933 inches of rain per year.
On average, Zachary gets 24.734 inches of rain per year.
On average, Zachary gets more rain than Albani.
Step-by-step explanation:
Mean is given by:
[tex]Mean = \frac{Sum}{Total}[/tex]
For Albani :
Sum of total number of terms = 23.36+18.51+28.54+22.36+30.50+24.74+11.93+15.34+18.07+15.98
Sum of total number of terms = 209.33
Number of terms = 10
[tex]Mean=\frac{209.33}{10}\\\\Mean=20.933\\[/tex]
For Zachary :
Sum of total number of terms = 27.27+20.11+31.14+25.88+32.97+25.03+18.55+23.91+22.75+19.73
Sum of total number of terms = 247.34
Number of terms = 10
[tex]Mean=\frac{247.34}{10}\\Mean=24.734[/tex]
PLS HELP ANSWER CORRECTLY WITH FULL WORK THO
Answer:
Hope this working is clear
y varies inversely as x, if y = -3 when x = -6, find y when x = 14.
Answer:
y is equal to 7 when x is equal to 14.
Step-by-step explanation:
-6 divided by -3 is equal to 2. This means x divided by y is equal to 2.
x / y = 2
14 / 7 = 2
37 is 60% of what number?
Answer:
61 2/3 = n
Step-by-step explanation:
Is means equals and of means multiply
37 = 60% * n
37 = .60n
divide each side by .60
37 / .60 = .60n/.60
61.6666666 repeating = n
61 2/3 = n
What is the area in square units of the polygon shown here 2 units 1 unit 5 units and 7 units.
12 units^2
14units^2
17 units^2
19 units^2
Calculate the surface area of the 3-D composite figure please!! show how you got the surface area
Answer:
1222 ft²
Step-by-step explanation:
11*19*2=41811*9*2=19819*9*2 - 10*9=25213*9*2=2341/2*10*12*2=120418+198+252+234+120=1222 ft²
Find the volume of the pyramid.
if an atom has 12 positively charged protons and 12 negatively charged electrons, what is it's total charge?
[tex]+12+(-12)\\=0[/tex]
Two types of shipping boxes are shown below. What is the difference in the surface areas,in square feet,of the two boxes.
A) 2
B) 3
C) 21
D) 30
Answer:
B-3
Step-by-step explanation:
2(4.5×2)+2(3×2)+2(4.5×3)
=57
6(3×3)=54
57-54=3
Ugh Summer work...Pls Help Me! 4.25 - x = 14.13
[tex]answer = - 9.88 \\ solution \\ 4.25 - x = 14.13 \\ - x = 14.13 - 4.25 \\ - x = 9.88 \\ x = - 9.88 \\ hope \: i t \: helps \\ good \: luck \: on \: your \: assignment[/tex]
Answer:
-9.88.
Step-by-step explanation:
1. Write it out.
4.25-x=14.13
2. Make it a bit easier to read.
4.25-x=14.13 is also the same thing as... -x+4.25=14.13. Now it's easier to tell that 4.25 is positive.
3. Isolate x and get it by itself.
Since we have a number on x's side, we have to move it to the other side. The opposite of addition is subtraction, so we subtract 4.25 by both sides!
-x+4.25=14.13
-4.25 -4.25
-x=9.88
Technically, x can't really be negative, so we can just divide by negative one on each side to get rid of the negative x.
-x=9.88
/-1 /-1
x=-9.88
That's finally the answer and sorry if the explanation took forever! Hope you understand :)
please help ill mark you as brainlesit if correct!
Answer: [tex]\dfrac{1}{8}[/tex]
Step-by-step explanation:
Formula : Probability = [tex]\dfrac{\text{favorable outcomes}}{\text{total outcomes}}[/tex]
Given , Sam has 4 cards numbered 2,3,5, and 7.
His friend has 4 cards numbered 1,2,6 and 7.
If they both draw one card and put that on table , then the possible combinations of cards would be (2,1) , (2,2), .... (7,6), (7,7).
i.e. Number of possible outcomes would be (S) 4 x 4 = 16
Favorable outcomes that they will choose same number (F) = (2,2) , (7,7)
Now , the probability that they will both choose the same number would be :
[tex]\dfrac{F}{S}=\dfrac{2}{16}=\dfrac{1}{8}[/tex]
Hence, the required probability = [tex]\dfrac{1}{8}[/tex]
Write the first six terms of the sequence.
a1 = 4, an = An-1 +5
Answer:
{4, 9, 14, 19, 24}
Step-by-step explanation:
Best to use the notation a(1) = 4, a(n) = a(n-1) + 5.
a(1) = 4 (given)
a(2) = 9 (here we found a(2) by adding the common difference, 5, to a(1)
a(3) = 14
a(4) = 19
a(5) = 24
1. Choose the three numbers that would round to 4.63.
A. 4.632
B. 4.6228
C. 4.6257
D. 4.6285
Answer:
A,c,and d
Step-by-step explanation:
4.632 is rounded to 4.63
4.6228 is rounded to 4.62
4.6257 is rounded to 4.63
4.6285 is rounded to 4.63
A cylinder of base radius 4cm is opened at one end . If the ratio of the area of it's base to that of it's curved surface area is 1:4, Calculate the height of the cylinder
Answer:
Height = 8cm
Step-by-step explanation:
I hope it helps
The required height of the cylinder is 8cm.
A cylinder of base radius 4cm. The ratio of the area of it's base to that of it's curved surface area is 1:4. Height of cylinder is to be determine.
Surface area is defined as the area of the surface that are uncovered.
Here,
area of circle/surface area of cylinder=1/4
πr²/2πrh=1/4
r/2h=1/4
h=2r
where r = 4cm
h = 2*4
h = 8cm
Thus, the required height of the cylinder is 8cm.
Learn more about surface area here:
https://brainly.com/question/2835293
#SPJ2
What is the measure of angle c in degrees? *
150
30
90
60
Answer:
Option (2)
Step-by-step explanation:
Measure of angle formed by two tangents from a point outside the circleis half the difference of the measures of the intercepted arcs.
From the figure attached,
m∠C = [tex]\frac{1}{2}[m(\text{major arc AB})-m(\text{minor arc AB)}][/tex]
= [tex]\frac{1}{2}[(360-m\widehat{AB})-m(\widehat{AB})][/tex]
= [tex]\frac{1}{2}[360-2m(\widehat{AB})][/tex]
= [tex]180-m\widehat{AB}[/tex]
= 180 - 150
= 30°
Therefore, measure of angle C will be 30°.
Option (2) is the answer.
Determine whether the forces in the pair are pulling at right angles to each other. For the values a = 1.6 and b = 5.8, which are legs of a right triangle, find c, the hypotenuse, to the nearest tenth
Answer:
Approximetly 6
Step-by-step explanation:
a^2 + b^2 = c^2
1.6^2 + 5.8^2 = c^2
2.56 + 33.64 = c^2
36.2 = c^2
c=6 (approximetly)
The graph of a polynomial is shown below. At which value of x does this
polynomial have an extreme?
5
A. X= 4
B. X= 2
C. x= 3
O D. x = 1.33
a group of 43 children, with some adults, travelled by coach on a trip to a zoo
The total cost of the trip was £516
the entrance fee was £12.75 for each adult and£8.25 for each child
the cost of hiring the coach was £123
How many adults were in the group?
you must show your working
｡☆✼★ ━━━━━━━━━━━━━━ ☾
516 - 123 = 393
8.25 x 43 = 354.75
393 - 354.75 = 38.25
38.25 / 12.75 = 3
There were 3 adults
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Answer:
3 adults
Step-by-step explanation:
(each child)£8.25×(total children)43=£354.75(total amount paid for children)
£354.75+£123=£477.75
£516-£477.75=£38.25
£38.25÷£12.75=3
please help!!
it’s due today
Answer:
this is a little late haha but the last one
Step-by-step explanation:
cus the slope is 2 and the y intercept is -1
Points , , and are collinear. Point is between and . Solve for given the following. =3+3 =−1+2 =11 =
Find the area of the regular polygon
Answer:
A
Step-by-step explanation:
Which figure shows an example of symmetry?
OA
O B
o
O D
Answer:
C.
Step-by-step explanation:
symmetry means that when you fold the paper along the line of symmetry shape is overlapping
With explanations please
1.) A ship leaves port and travels 21km on a bearing of 032° and then 45km on a bearing of 287°
a) Calculate it's distance from the port
b) Calculate the bearing of the port from the ship
2.) A surveyor leaves her base camp and drives 42 km on a bearing of 032°,she then drives 28km on a bearing of 154°. How far is she then from her base camp and what is her bearing from it?
Answer:idk
Step-by-step explanatio
The probability of a basketball player hitting a foul shot is 1/3. How many shots would you expect her to make in 90 attempts?
Answer:
60
Step-by-step explanation:
1/3 of all attempts expected to be foul shots
1/3*90= 30 fouls
90-30= 60 success
A line segment 9 cm long is dilated with a scale factor of 3. Find the length of the dilated line segment. A. 1/3 cm B. 3 cm C. 12 cm D. 27 cm
Answer:
27 cmSolution
[tex]length = 9 \: cm \\ on \: dilation \: with \: a \: scale \: factor \: of \: 3 \\ now \\ length = 9 \times 3 \\ \: \: \: \: \: \: \: \: \: \: \: \: = 27 \: cm[/tex]
hope this helps...
Good luck on your assignment....
The GCF of 24 and 32 is
Answer:
8
Step-by-step explanation:
Which angle pairs are supplementary? Check all that
apply.
21 and 22
0 24 and 23
0 24 and 25
O 27 and 25
O 23 and 26
Answer:
Option B, C and E are supplementary angles.
Step-by-step explanation:
We need to find supplementary angles.
Supplementary angles are those angles who sum up to 180 °.
I have attached picture for reference.
Looking at the figure given:
We have supplementary angles:
∠4 and ∠3
∠4 and ∠5
∠5 and ∠6
∠7 and ∠8
∠3 and ∠6
But the options given are: ∠4 and ∠3,∠4 and ∠5, ∠3 and ∠6
So, Option B, C and E are supplementary angles.
Supplementary angles are pair of adjacent angles that add up to 180 degrees
Conditions for supplementary anglesFor a pair of angles to be supplementary, then the following must be true
The angles must be adjacent i.e. side by sideThe angles must add up to 180 degreesThe image is not given.
So, I provided a general explanation
Read more about supplementary angles at:
https://brainly.com/question/18217469
ASAP WILL DO BRAINLIESET
Karen can complete 12 coloring book pages in 30 minutes.
a) what is the constant of proportionality?
b) Write a direct variation equation that represents the scenario
c) How long will it take Karen to complete 96 coloring pages?
Answer:
a. Karen can do 2.5 coloring pages a minute.
c. 240 minutes
Step-by-step explanation:
c. 96 / 12 = 8. 8 x 30 = 240.
What is the smallest and largest perimeter of a polygon with an area of 20?
Answer:
The polygon with the smallest perimeter is the megagon
The polygon with the largest perimeter is the triangle
Step-by-step explanation:
An equilateral triangle with area = 20 has
0.5× a²×sin60 = 20
a= 6.796
Hence, perimeter = 20.39
A square of area 20 has perimeter= 4×√20 = 17.9
A regular pentagon of area = 20 has perimeter = 3.41 × 5 = 17.05
Hence as the number of sides is increasing, the ratio of the Area to the Perimeter also increases
Therefore, a triangle has the largest perimeter with an area of 20 while a megagon with a million sides has the smallest perimeter with an area of 20.
