The linear equation for his balance over time is given by:
y = 20x + 100.
The x-intercept is of 20, which is the amount by which the balance increases each week.The y-intercept is of 100, which is the initial balance.What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.In this problem, he stats the balance with the birthday present of $100, and gets an allowance of $20 a week, hence the equation for the balance after x weeks is given by:
y = 20x + 100.
Hence:
The x-intercept is of 20, which is the amount by which the balance increases each week.The y-intercept is of 100, which is the initial balance.More can be learned about linear functions at https://brainly.com/question/24808124
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P(S) = 5/8
P(T) = 1/8
If S and T are mutually exclusive events, find P(S or T),
Answer:
P(S ∪ T) = 3/4
Step-by-step explanation:
Given:
P(S) = 5/8P(T) = 1/8For mutually exclusive events S and T,
P(S ∪ T) = P(S) + P(T)
Therefore,
P(S ∪ T) = (5/8) + (1/8)
= 6/8
= 3/4
Answer correctly and i give you brainliest
Answer:
B.
Step-by-step explanation: The answer is b because 65.04 is the answer we get from finding the difference of those irregular triangles and the circle.
P.S. They must be done seperately.
PLS HELP ME I NEED TO TURN THIS IN
Answer:
150 tablets.
Step-by-step explanation:
20% of 500 is 100, so there was 100 desktop computers. Than, half of the devices were laptop computers, being 250. Than you add 100 and 250 to get 350. Than subtract 350 from 500 and you get 150.
PLEASE HELP !!!!!!!!!
What is the slope of the line?
Answer:
-3
Step-by-step explanation:
First, let's remind ourselves the definition of a slope.
Slope = rise/run OR the height from one point to another/ the distance from one point to another.
First, let's find two points on this graph that are marked easily.
One point that can be found is (0, -3) and the other is (0, -1).
Let's apply our formula to these points!
<------- Starting from point (0, -3), we are RISING 3 points and RUNNING -1 points.
Rise 3
------- = ----------
Run -1
3/-1 = -3
The slope of the line is -3.
Answer:
-3.
Step-by-step explanation:
1) to choose two points on the given line on the graph. For example, A(-2;3) and B(-1;0);
2) to calculate the required slope according to the rule:
[tex]slope=\frac{Y_B-Y_A}{X_B-X_A};[/tex]
3) the required slope:
slope=-3/1=-3.
Jerry is running a race. He knows he can run 44 feet in 3 seconds. If he maintains this rate, how many miles will he run in 1 hour?
Step-by-step explanation:
44 ft in 3 seconds
in 1 hour there are 60 minutes with 60 seconds each.
so, 1 hour = 60×60 = 3600 seconds.
in 3600 seconds there are
3600 / 3 = 1200 "packages" of 3 seconds.
so, Jerry would run
1200 × 44 = 52800 ft in 1 hour.
there are 5280 ft in 1 mile.
that means Jerry would run
52800 / 5280 = 10 miles in 1 hour.
Consider a triangle a
ABC like the one below. Suppose that A = 46°, C=79°, and b=61. (The figure is not drawn to scale.) Solve the triangle.
Round your answers to the nearest tenth.
If there is more than one solution, use the button labeled "or".
Answer:
A =24.7° ; B = 40.6° ; C =114.7°
Step-by-step explanation:
Use the following random list of 100 numbers and the assignations 0-4 to represent girls and 5-9 to represent boys to answer the question below. 3199 9288 1023 1130 0809 1770 6231 7538 8927 4761 7258 7111 0209 0916 1450 9848 4654 7579 6150 3093 9608 0061 4014 9501 0382 3052 2385 9074 1664 6551 6577 1811 3454 5870 1277 5056 1063 5697 9141 4120 9181 1343 0168 3693 0463 4842 1704 3774 4908 4161 6404 9675 2518 3988 4268 6083 0636 9634 5295 5656 1918 3133 6831 8393 6363 2452 1531 1638 1317 2279 9395 0702 2091 5269 0422 0275 3373 1424 1958 0356 5163 0743 6658 6257 2772 0570 4522 2665 0890 3560 5549 2238 2172 9715 9741 4975 6617 9034 4441 8220 Based on the results of the simulation, if 224 groups are formed, about how many of them would you expect to contain all girls? Round your answer to the nearest number of groups. groups.
100:224 = 61:x, or 61/100 = x/224
Cross multiply; 100x=13664
Then, divide by 100; x=136.64, or about 137 groups would contain all girls
round 63,104,159,896 to the nearest hundred million
round 2,005,562,134 to the nearest hundred million
round 5,678,600,941 to the nearest hundred million
Answer:
The answer to each one is 1) 63,100,000,000
2) 2,000,000,000
3) 5,700,000,000
Which table contains only values that satisfy the following? y = x - 1
-
1. Find all critical numbers for the function: f(x) = (9 - x2)3/5
A. {0}
B. {-3,3}
C. {3}
D. {-3,0,3}
Answer:
its easy
Step-by-step explanation:
Given the recursive formula below, what are the first 4 terms of the sequence?
image
Question 3 options:
A)
17, 19, 21, 23
B)
17, –6, –3, 0
C)
17, 13, 9, 5
D)
17, 15, 13, 11
Answer:
D)
17,15,13,11
Step-by-step explanation:
From the formula
[tex]f(n) = f(n - 1) - 2 \\ f1 = 17 \\ [/tex]
we can deduce the next three terms as follows:[tex]f(2) = f(2 - 1) - 2 \\ f(2)= f(1) - 2 \\ f(2) = 17 - 2 \\ f(2) = 15\\ [/tex][tex]f(3) = f(3 - 1) - 2 \\ f(3)= f(2) - 2 \\ f(3) = 15 - 2 \\ f(3) = 13\\ [/tex][tex]f(4) = f(4 - 1) - 2 \\ f(4)= f(3) - 2 \\ f(4) = 13 - 2 \\ f(4) = 11\\ [/tex]Hence the sequence is; 17, 15, 13, 11,...What is the perimeter of the rectangle in the coordinate plane?
14 units
28 units
36 units
45 units
Answer:
45 units^2
Step-by-step explanation:
W x H = area
9 x 5 = 45 units^2
Answer:
28 units
Step-by-step explanation:
Length (l) = 9 units
Breadth (b) = 5 units
Perimeter of the rectangle will be,
→ 2(l + b)
→ 2(9 + 5)
→ 2 × 14
→ 28 units
Hence, the perimeter is 28 units.
A student estimates that it would take her 3 hours to write a book report,but it actually takes he 5 hours what is the percent error
Answer:
66.67%
If it wrong! IM SO SORRY:(
Kiran bent some wire around a rectangle to make a picture frame. The rectangle is 8 inches by 10 inches. what is the perimater
Answer:
62.8 inches
.Step-by-step explanation:
The wire consists of 14 semicircle + 4 3/4 circles. The diameter of each circle = 8 / 4 = 2 inches.Length of a semicircle = 1/2 * pi * diameter and of a 3/4 circle it is 3/4 * pi * diameter.So the perimeter of the wire= 14 * 1/2 * 3.14 * 2 + 4 * 3/4 * 3.14 * 2= 14 * 3.14 + 4 * 3/2 * 3.14= 62.8 inches.
Answer:
62.8 inches
Step-by-step explanation:
= 14 * 1/2 * 3.14 * 2 + 4 * 3/4 * 3.14 * 2
= 14 * 3.14 + 4 * 3/2 * 3.14
= 62.8 inches.
Sammy was playing Games with Alex. The ratio of games Sammy won was to the number of games Alex won was 9 to 5. If Sammy won 36 games, how many games did Alex win?
-4x + 7 > x - 13 Graph the solution to this inequality on the number line
Answer:
x < - 4
Step-by-step explanation:
Draw a number line and find -4 then graph it
Brad began working on a project at 10:15 A.M. He finished the work at 5:08 P.M.
How long did it take Brad to complete the project?
Answer:
It is a good idea to convert the times into internation time
thus, 5:08 becomes 17 08
Substraction:
17 08 - 10 15
= 16 68 - 10 15 ( I took one hour from 17 and added 60 minutes to 08)
= 6 53
he worked 6 hr 53 mins
Find the slope on any given line please see attached photo
Answer:
-5/4
Step-by-step explanation:
Count down 5 units and then count right 4 units in order to get negative 5 over 4.
PLEASSEWEEEEEEEEEEEEEEEEEEEEEEEE
Answer:
46 square inches
Step-by-step explanation:
Surface Area = 2×(5×3 + 5×1 + 3×1)
Wanda is working on her predictions for the next few days. She calculates that there is a 20% chance of rain on Monday and a 20% chance onf rain on Tuesday. If she is correct, what is the probability that it will rain on at least one of these days?
Answer:
the answer is that 20% plus 20% equals to 40% and the probability it will rain on at least one of those days is 40% or 2/5
can you please help me I’ll pay you £100
Answer:
The new points to the triangle will be:
[tex]A(-6, 6)\\B(-6, 3)\\C(-8, 3)[/tex]
Step-by-step explanation:
Because the reflection point is at [tex]x = -1[/tex], all x values will subtract their distances from [tex]x = -1[/tex] to get their new values. The y values remain the same.
The starting values are:
[tex]A(4,6)\\B(4,3)\\C(6,3)[/tex]
Point [tex]A[/tex] is 5 units away from [tex]x = -1[/tex], so we'll subtract 5 from -1 to get the new x value: [tex]-1 - 5 = -6[/tex], so [tex]A(-6, 6)[/tex].
Point [tex]B[/tex] is also 5 unit away from [tex]x = -1[/tex], so we'll subtract 5 from -1 to get the new x value: [tex]-1 - 5 = -6[/tex], so [tex]B(-6, 3)[/tex].
Point [tex]C[/tex] is 7 units away from [tex]x = -1[/tex], so we'll subtract 7 from -1 to get the new x value: [tex]-1 - 7 = -8[/tex], so [tex]C(-8, 3)[/tex].
Answer:
No need to pay me, its my pleasure, also its not even in my country's currency so it would be worthless to me anyways.
5,4 and 4,4
Step-by-step explanation:
Can you turn all the mixed numbers in the boxes into and improper fraction please!!!
Answer:
answers are in the attached file!
Step-by-step explanation:
these are super simple to solve if you break it down! in order to turn a mixed number into an improper fraction, you first need to multiply the whole number by the denominator of the fraction. then, you add the numerator of the fraction to the product of the multiplication problem. that answer is then the new numerator of the fraction! the denominator will stay the same.
for example, the very first one that is given in the picture is 6 1/2. 6•2 equals 12, plus the numerator, 1, gives 13.
Energy for both renewable and nonrenewable sources originally comes from
A. Oil
B. Earth's core
C. fossil fuel
D. the sun
Answer:
d
Step-by-step explanation:
the sun is the primary source
The sum of 6 and the product of 3 and d
Answer:
6 + 3d
Step-by-step explanation:
First, we can translate from English words to mathematical operations:
– Product: the result of multiplication
– Sum: the result of addition
So, we can rephrase the original sentence as “the result of adding 6 and (the result of multiplying 3 and d)”
When we multiply a constant like 3 by a variable like d, we usually write the two next to each other, which would be “3d” in this case. We can replace that last sentence in symbols with 6 + 3d
Draw the image of quadrilateral ABCD under a translation by 2 units to the left and 3 units up.
The image of the quadrilateral after the translation is added as an attachment
How to determine the image of the quadrilateral?The given parameter represents the quadrilateral ABCD on the graph.
On this graph, we have the coordinates of ABCD to be:
A = (2, -3)
B = (-1, 3)
C = (-1, -3)
D = (-4, -4)
The translation is given as
2 units to the left and 3 units up.
Mathematically, this can be represented as
(x, y) = (x - 2, y + 3)
So, we have
A' = (0, 0)
B = (-3, 6)
C = (-3, 0)
D = (-6, -1)
Next, we plot the above coordinates on the graph (See attachment)
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Answer:
look at the photo
Step-by-step explanation:
it just is
If cos A = k, then the value of the expression (sin A)(cos A)(tan A) is equivalent to:
1). 1
2). 1/k
3). k
4). k²
Answer:
[tex](\sin A)(\cos A)(\tan A)=1-k^2[/tex]
Step-by-step explanation:
[tex]\textsf{Trig identity}: \quad \tan A=\dfrac{\sin A}{\cos A}[/tex]
[tex]\begin{aligned}\implies (\sin A)(\cos A)(\tan A)& =(\sin A)(\cos A)\dfrac{(\sin A)}{(\cos A)}\\\\& =\dfrac{(\sin A)(\cos A)(\sin A)}{(\cos A)}\\\\& =\sin^2 A\\\end{aligned}[/tex]
[tex]\begin{aligned}\textsf{Trig identity}: \quad \sin^2 A + \cos^2 A &=1\\\implies \sin^2 A & =1-\cos^2 A\end{aligned}[/tex]
[tex]\implies (\sin A)(\cos A)(\tan A)=1-\cos^2 A[/tex]
If [tex]\cos A=k[/tex] then:
[tex](\sin A)(\cos A)(\tan A)=1-k^2[/tex]
The value of the expression (sin A)(cos A)(tan A) is equivalent to[tex]1 - k^2[/tex], which corresponds to option 4). k².
How to determine the value of the expression (sin A)(cos A)(tan A) is equivalentLet's use the trigonometric identity: tan A = (sin A) / (cos A).
Given cos A = k, we can find sin A using the Pythagorean trigonometric identity:[tex]sin^2 A + cos^2 A = 1.[/tex]
[tex]sin^2 A + k^2 = 1[/tex]
[tex]sin^2 A = 1 - k^2[/tex]
sin A = √(1 - [tex]k^2[/tex])
Now, the expression (sin A)(cos A)(tan A) is:
(sin A)(cos A)(tan A) = (√(1 - [tex]k^2[/tex]))(k)((√(1 -[tex]k^2[/tex]))/k)
Now, we can cancel out the common terms:
(sin A)(cos A)(tan A) = (√(1 - [tex]k^2[/tex]))(√(1 - [tex]k^2[/tex]))
Taking the square root of the product:
(sin A)(cos A)(tan A) = √((1 -[tex]k^2[/tex])(1 - [tex]k^2[/tex]))
(sin A)(cos A)(tan A) = √((1 -[tex]k^2[/tex][tex])^2[/tex]
(sin A)(cos A)(tan A) = [tex]1 - k^2[/tex]
So, the value of the expression (sin A)(cos A)(tan A) is equivalent to [tex]1 - k^2[/tex], which corresponds to option 4). k².
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from 2001 to 2012 the sales for a local doughnut store increased by about the same percent each year. The sales, S, for year t can be modeled by, S=372,300(6/5)^t. Where t=0 corresponds to 2001. What were the sales in 2001
Using the given exponential function, it is found that the number of sales in 2001 was of 327,300.
What is the exponential function in this question?It models the number of sales S in t years after 2001, given by:
[tex]S(t) = 372300\left(\frac{6}{5}\right)^t[/tex]
2001 is year 0, hence the amount is given by S(0), that is:
[tex]S(0) = 372300\left(\frac{6}{5}\right)^0 = 372300[/tex]
The number of sales in 2001 was of 327,300.
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I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answer:
48pi cm squred
Step-by-step explanation:
first find area of the circle which is pi x r^2
pi x 3^2 = 9pi
Since there are two circles...
9pi x 2 = 18pi
Then find the area of the rectangle that is wrapped around the circle by finding the circumference of the circle and then multiplying that with the height of the cylinder
circumference of the circle = 2 x pi x r
2 x pi x 3 = 6pi
6pi x 5 = 30pi
Therefore the surface area is
48pi cm squred
Hope this helps!
What is the combined length of all the buttons longer than 1 inch?
