Step-by-step explanation:
here you want to isolate the y.
so what you do in the beginning is divide both sides by x-2.
then, you'll have y-3 = 0
so y = 3
this is a horizontal graph that crosses the y axis and y = 3.
My neighbor does not understand how to find the length and area of his backyard because it is an unusual shape. In 2-3 sentences explain how you would help him solve his problem. Remember to use Math Vocabulary in your explanation.
He can find the area of the individual shapes the backyard is made up of, then take the sum.
Area of composite figureA composite figure is made up of different shapes and hence their area might be difficult to determine.
In order to determine the area of such a complex shape, the area of the individual shapes is first determined and then sum up. The sum of their areas will give the area of the composite figure
For your neighbour, he can find the area of the individual shapes the backyard is made up of, then take the sum.
Learn more on area of composite figure here: https://brainly.com/question/21135654
A computer loses half of its value every two year. If the computer costs $75 after 6 years, how much
did the computer cost initially?
Answer:
$600
Step-by-step explanation:
This can be modeled as an exponential equation.
General form of an exponential function: [tex]y=ab^x[/tex]
where:
a is the initial valueb is the growth factorx is the independent variabley is the dependent variableTherefore:
a = initial cost of computerb = 0.5 (since the computer loses half its value)x = t/2 where t is the number of years ⇒ 3y = $75[tex]\implies 75=a(0.5)^3[/tex]
[tex]\implies 75=0.125a[/tex]
[tex]\implies a=\dfrac{75}{0.125}[/tex]
[tex]\implies a=600[/tex]
Therefore, the computer initially cost $600.
what’s the answer????
Answer:
3.6 m/h
Step-by-step explanation:
Distance (d) = 9 Km
Time (t) = 2.5 hour
Speed ( s )
Speed = Distance / Time
s = d / t
s = 9 / 2.5
s = 90 / 25
s = 18 / 5
s = 3.6 Km/h
The perimeters of two similar right triangles have a ratio of 3 to 5. If the height of the larger triangle is 12 meters, what is the height of the
smaller triangle?
Answer:
7.2 meters
Step-by-step explanation:
Similar triangles have linear dimensions that are proportional. The ratio of heights will be the same as the ratio of permeters:
h/(12 m) = 3/5 . . . . . . . small/large
h = (3/5)(12 m) = 7.2 m . . . . . . multiply by 12 m
The height of the smaller triangle is 7.2 meters.
please help me in this mathematics questionplease help me in this mathematics questionplease help me in this mathematics question
The twenty units of potatoes illustrates the measure of central tendency and probability
The modal weight, mean, and medianStart by sorting the dataset:
0.19; 0.28; 0.55;
0.62; 0.68; 0.77;
0.88; 0.89; 0.98;
0.99; 1.11; 1.22;
1.22; 1.22; 1.33;
1.44; 1.48; 1.68;
1.77; 1.99
The highest occuring element is 1.22 with a frequency of 3
The two middle elements are 0.99 and 1.11.
The mean of these two middle elements is: 0.5 * (0.99 + 1.11) = 1.05
The mean of the whole dataset is:
Mean = (0.19+ 0.28+ 0.55+ 0.62+ 0.68+ 0.77+ 0.88+ 0.89+ 0.98+ 0.99+ 1.11+ 1.22+1.22+ 1.22+ 1.33+ 1.44+ 1.48+ 1.68+1.77+1.99)/20
Mean = 1.06
Hence, the modal weight is 1.22, the mean is 1.06, and the median is 1.05
The probabilities(a) at least 1.1 kg
There are 10 potatoes that weigh at least 1.1 kg.
So, the probability is:
P = 10/20
P = 0.5
(b) more than 3.5kg
There are 0 potatoes that weigh more than 3.5 kg.
So, the probability is:
P = 0/20
P = 0
(c) below 0.50kg
There are 2 potatoes that weigh below 0.50 kg.
So, the probability is:
P = 2/20
P = 0.1
The Variance of the weight.
This is calculated as:
Var = [tex]\sum[/tex](x - mean)^2/n
This gives
Var = [(0.19 - 1.06)^2 + (0.28 - 1.06)^2 + (0.55 - 1.06)^2 + (0.62 - 1.06)^2 + (0.68 - 1.06)^2 + (0.77 - 1.06)^2 + (0.88 - 1.06)^2 + (0.89 - 1.06)^2 + (0.98 - 1.06)^2 + (0.99 - 1.06)^2 + (1.11 - 1.06)^2 + (1.22 - 1.06)^2 + (1.22 - 1.06)^2 + (1.22 - 1.06)^2 + (1.33 - 1.06)^2 + (1.44 - 1.06)^2 + (1.48 - 1.06)^2 + (1.68 - 1.06)^2 + (1.77 - 1.06)^2 + (1.99 - 1.06)^2]/20
Evaluate
Var = 0.22
This means that:
The expectation of the squared deviation of the random variable from the mean is 0.22 kg
Read more about measure of central tendency at:
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Answer:
0.22 kg
Step-by-step explanation:
PLEASE ANSWER QUICKLY AS POSSIBLE WILL GIVE BRAINLYEST TO FIRST CORRECT
Find the exact value of x.
x=
Question 2
Do the side lengths form a Pythagorean triple?
Answer:
Soln:
Step-by-step explanation:
Here,
Base(b) =9
Opposite/Perpendicular (p)= x
Hypotenus (h) = 24
We know,
(p)^2 = (h)^2 - (b)^2
(x)^2 = (24)^2 - (9)^2
x^2 = 576 - 81
x^2 = 495
x = root under 495
Answer:
1- 22.2486 2- No
Step-by-step explanation:
1:
[tex]b = \sqrt{ c^{2}- a^{2}[/tex]
C is the hypotenuse, or longest side of the triangle (24).
A is the one length we have besides the hypotenuse(9).
[tex]b = \sqrt{ 24^{2}- 9^{2}[/tex]
b = 22.2486
2:
No, because if it was a Pythagorean triple, it would follow the equation [tex]a^{2} +b^{2} =c^{2}[/tex].
[tex]9^{2} + 22.2485^{2} \neq 24^{2}[/tex].
Which net represents this solid figure?
Answer: TThere is no picture
Step-by-step explanation:
In the data set below, what are the lower quartile, the median, and the upper quartile?
The median, upper and lower quartiles of the data set are:
Lower Quartile = 46
Median = 49
Upper Quartile = 90
What is the Median?The center value or middle value of a data set is the median.
What are the Upper and Lower Quartiles?Upper quartile (Q3) is the center or middle data point of the second half of a data set.
Upper quartile (Q3) is the center or middle data point of the second half of a data set.
Order the data set given as:
32, 46, 49, 49, 77, 90, 96
Lower Quartile = 32, (46), 49, 49, 77, 90, 96 = 46
Median = 32, 46, 49, (49,) 77, 90, 96 = 49
Upper Quartile = 32, 46, 49, 49, 77, (90,) 96 = 90
Learn more about the Median, Upper and Lower Quartiles on:
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i have attached the question for you
Answer:
s = [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
s = ut + [tex]\frac{1}{2}[/tex] at² ( substitute the given values into the equation )
s = ( 3 × [tex]\frac{1}{3}[/tex] ) + ( [tex]\frac{1}{2}[/tex] × - 12 × ([tex]\frac{1}{3}[/tex] )² )
= 1 + (- 6 × [tex]\frac{1}{9}[/tex] )
= 1 + ( - [tex]\frac{2}{3}[/tex] )
= 1 - [tex]\frac{2}{3}[/tex]
= [tex]\frac{1}{3}[/tex]
Answer:
[tex] \hookrightarrow \: u = 3 || \: a = - 12 \: || t = \frac{1}{3} \\ \hookrightarrow \: s = ut + \frac{1}{2} a {t}^{2} \\ \hookrightarrow \: s =3 \times \frac{1}{3} + \frac{1}{2} \times - 12 \times (\frac{1}{3} )^{2} \\ \hookrightarrow \: s =1 - \frac{2}{3} \\ \hookrightarrow \: s = \frac{1}{3} [/tex]
The expression cosine of pi over 2 times cosine of pi over 5 plus sine of pi over 2 times sine of pi over 5 can be rewritten as which of the following?
cosine of 7 times pi over 10
cosine of 3 times pi over 10
sine of 7 times pi over 10
sine of 3 times pi over 10
(The clear version of the question is in the picture below)
Answer:
(b) cos(3π/10)
Step-by-step explanation:
The given expression matches the trig identity form for the cosine of the difference of two angles:
cos(α-β) = cos(α)cos(β) +sin(α)sin(β)
__
To match the given expression exactly, we can choose ...
α = π/2
β = π/5
Then the difference is ...
α -β = π/2 -π/5 = (5/10)π -(2/10)π = 3π/10
The given expression can be shortened to ...
cos(3π/10)
__
Additional comment
Sometimes it can be difficult to remember when the signs in trig identities match, and when they differ. The fact that cosines of smaller angles have larger values can be a peg on which to hang that hat.
Which of the following is the estimated amount of salt that will dissolve at 47 degrees?
30.74
142.06
24.72
35.08
Ths solubility curve can be used to obtain the amount of salt dissolved (solubility).
What is the solubility curve?The solubility curve is a plot of the solubility of a substance against the temperature. It serves the purpose of being used to show the solubility of a susbtance at different temperatures. This question is incomplete hence we can not be able to deduce the solubility of the salt at this temperature.
If the solubility curve has been ploted, then we can be able to estimate the solubility of the salt from the graph.
Learn more about solubility curve: https://brainly.com/question/9537462
A bank pays $15 in interest for every $100 deposited.
The bank pays how much interest?
Answer:
15% interest
Step-by-step explanation:
because it's 15 out of 100 so that would be 15%
Tom has 2 feet of wire. He uses of the wire to hang a picture. How much wire did he use to hang the picture?
A. 2 4/7 feet
B. 1 9/10
C. 1 7/10
D. 1 1/2
Answer:
D. 1 1/2 feet
Step-by-step explanation:
Multiply the numbers to find the length of wire used.
2 1/2 × 3/5 = 5/2 × 3/5 = 3/2 = 1 1/2 feetCorrect choice is D
How to sketch this graph?
Answer:
get a book from shop and draw with ruler and write the numbers too
Shortly after their arrival, Europeans began introducing pigs to the Americas as a source of food. Some escaped, and others were intentionally released into the wild,
where they thrived. Assume that the wild pig population is modeled by the
formula P = P0•(1.2)^t .If there were five million wild pigs in 2010 (no one really knows the exact number), what was the population of wild pigs in 2000?
Answer: About 800 thousand
The more accurate value is 807,528 but this is also an approximation.
=======================================================
Work Shown:
[tex]t = \text{number of years since the year 2000}[/tex]
[tex]P_0 = \text{population (in millions) in the year 2000}[/tex]
[tex]P = P_0(1.2)^t\\\\5 = P_0(1.2)^{10}\\\\5 \approx P_0*6.1917364224\\\\P_0 \approx \frac{5}{6.1917364224}\\\\P_0 \approx 0.80752791444922\\\\P_0 \approx 0.807528\\\\[/tex]
That's the rough population of wild pigs (in millions) for the year 2000.
Multiply by [tex]10^6[/tex] to get it in terms of units instead.
[tex]0.807528\times10^6 = 807,528[/tex]
There were roughly 800 thousand wild pigs in the year 2000.
can someone help me really please
Answer:
5/6
Step-by-step explanation:
since there already is a common denominator all you have to do is add the numerators
Find the future value of an ordinary annuity of sh.25,000 at a compunding rate of 7% p.a. after 9 years?
Answer:
sh.299,449.72
Step-by-step explanation:
The future value of an ordinary annuity with annual payments P earning interest rate r compounded annually for t years is ...
FV = P((1+r)^t -1)/r
For the given numbers, the future value is ...
FV = sh.25000(1.07^9 -1)/0.07 ≈ sh.299,449.72
I NEED HELP ASAP PLEASE LOOK AT THE PICTURE ATTACHED
Answer:
The distance is 20 units
Step-by-step explanation:
Identify the indicated angles as Adjacent, vertical, linear, or complimentary
Kim has a cube that is 1 unit long, 1 unit wide, and 1 unit high. What is the
volume of Kim's cube?
Answer:
Volume of cube is width times length times height. So it's simply 1 unit × 1 unit × 1 unit = 1 unit³. Final answer: 1 unit³ (or 1 cubed unit).
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
multiply the length, width, and the height for the answer
is this is right please make it brainlyest!
Will give Brainly!!
5 Questions
Financial Mathematics
Questions Attached
please help with this problem!!
Answer:
12 cups
Step-by-step explanation:
The ratio he uses is
2 parts strong coffee
3 parts milk
Let's say he makes a recipe exactly like the amounts of the ratio.
2 cups strong coffee
3 cups milk
Total: 2 cups + 3 cups = 5 cups
He wants to make 30 cups, so 5 cups is not enough.
Let's double the amounts of the recipe keeping the same ratio of 2 to 3.
2 × 2 = 4 cups strong coffee
3 × 2 = 6 cups milk
Total: 4 cups + 6 cups = 10 cups
He wants to make 30 cups, so 10 cups is not enough.
We can keep on going up by multiplying the numbers in the ratio by larger numbers, but there is a quicker way.
We need to multiply both numbers in the ratio by a number, let's call it x, so that when both numbers in the ratio are multiplled by x, and the ingredients are added, we end up with 30 cups.
Multiply both numbers in the ratio by x.
2x cups of strong coffee
3x cups of milk
Now add: the total amount will be 5x cups
We want 30 cups, so
5x = 30
Solve for x.
x = 30/5 = 6
x, the multiplier we need is 6.
2x cups strong coffee = 2(6) cups = 12 cups
3x cups milk = 3(6) cups = 18 cups
Answer: 12 cups
4. Sarah moved 530,000 of her savings to a new investment account that earns 4% interest compounded quarterty. Write a function to model this situation, then find the amount of interest the account will earn after 12 years.
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$530000\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years \end{cases} \\\\\\ A=530000\left(1+\frac{0.04}{4}\right)^{4\cdot t}\implies A=530000(1.01)^{4t} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{\textit{after 12 years}}{t=12}\implies A=530000(1.01)^{4(12)}\implies A=530000(1.01)^{48} \\\\\\ A\approx 854479.82~\hfill \underset{\textit{interest in the account}}{\stackrel{854479.82~~ - ~~530000}{\approx 324479.82}}[/tex]
need help really please someone
Answer:
2 5/7
Step-by-step explanation:
First we need to make the 4 2/7 top heavy so it is easier to subtract :)
4 2/7 = 3 9/7
Now we can subtract :)
3 9/7 - 1 4/7 = 2 5/7
Have an amazing day!!
Please rate and mark brainliest!!
Answer:
The answer is 2 5/7
Step-by-step explanation:
What is the surface area of this right prism?
600 in²
720 in²
840 in²
1440 in²
Right triangular prism. The height of the prism is labeled 12 in. The base of the prism is an isosceles triangle with legs labeled 13 in., 13 in., and 24 in. The height of the triangle is perpendicular to the side labeled 24 in. and is labeled 5 in.
The surface area of the right prism with an isosceles triangle base is 720 inches squared.
Surface area of a triangular prismsurface area = bh + l(x + y + z)
where
b = base of triangle.h = height of triangle.l = height of the prism.x, y and z are the side of the triangle.Therefore,
b = 24 inches
h = 5 inches
x = 13 inches
y = 13 inches
z = 24 inches
l = 12 inches
Surface area = 24 × 5 + 12(13 + 13 + 24)
Surface area = 120 + 12(50)
Surface area = 120 + 600
Surface area = 720 inches²
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the vertex of this parabola is at (4, -3). when the x-value is 5, the y-value is -6. what is the coefficient of the squared expression in the parabola's equation?*sorry edited now
Answer:
- 3
Step-by-step explanation:
the equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier
here (h, k ) = (4, - 3 ) , then
y = a(x - 4)² - 3
to find a substitute x = 5, y = - 6 into the equation
- 6 = a(5 - 4)² - 3 ( add 3 to both sides )
- 3 = a(1)² = a
y = - 3(x - 4)² - 3 ← expand factor using FOIL
y = - 3(x² - 8x + 16) - 3
= - 3x² + 24x - 48 - 3
= - 3x² - 24x - 51 ← in standard form
coefficient of the x² term is - 3
help to search for JOIN in this alphabet soup please
Answer:
hopefully this helps :] 16th line down I think
Please solve the whole page
Answer:
1. 3/20
2. 76/4
3. 16
4. 1/8
5. 11/1
6. 2.5/1
7. 13/1
8. 255/1
9. 20, 140, 240
10. 3.5, 17.5, 31.5
11. 12
12. 2
6) The frequency table represents lunch choices for 22 middle school students. Each student may only make one choice. What frequency count should be recorded for the soup category?
-------
A) 2
B) 4
C) 6
D) 8
The frequency count that should be recorded for the soup category is 6.
What does subraction mean?
Subtraction is the process of taking one number away from another number. The sign used to represent subtraction is -.
What is the frequency count for the soup category?The frequency count on the table should be equal to the number of students. Thus, in order to determine the frequency count for the soup category, subtract 22 from the total frequency count.
The frequency count for the soup category = 22 - (5 + 8 + 2 + 1 ) = 6
To learn more about subtraction, please check: https://brainly.com/question/915789
it takes 1 1/2 hours to fill 1/2 of a tank how long will it take to fill 2 tanks completely
Answer:
15
Step-by-step explanation:
hope this helps