Answer:
He will have $1,664 on his 15th birthday.
Step-by-step explanation:
If he is saving $4 per week for 8 years(15-7=8), and there are 52 weeks in a year, then 8x52=416 weeks. Then 416x4=1,664. Therefore, he will have $1248 dollars by his 15th birthday.
Answer:
1664 Hope this is right
Step-by-step explanation:
You first need to find how many weeks is in a year.
Then multiply how many weeks that are in a year 52 by amount of money per week 4.
You get 208
Before the last step you need to subtract 15-7=8
Multiply 208 times 8 and that's your answer
Which best describes the line of reflection
Answer:
Option 3
Step-by-step explanation:
The line between the two shapes is 6 units away from the first B point.
Express the product of 500 and 400 in scientific notation
Answer:
A
Step-by-step explanation:
Scientific Notation
The scientific notation for the product of 500 and 400 is 20 × [tex]10^4[/tex] and this can also be written as 2.0 × [tex]10^4[/tex]. So, options A and D are correct.
How to represent in Scientific notation?This is a way of writing very large numbers or very small numbers in the form of a number multiplied by a power of 10.In general form: a × [tex]10^b[/tex] where a is called as coefficient and b is called the exponent and 10 is the base. Where b is a positive integer for very large numbers and b is a negative integer for very small numbers.Calculating the product:Given numbers are 500 and 400
Their product is 500 × 400 = 200000
This is a large number.
So, the power of 10 is positive and the scientific notation is written as:
200000 = 20 × [tex]10^4[/tex]
= 2.0 × [tex]10^5[/tex]
Therefore, options A and D are correct. The product of 500 × 400 = 20 × [tex]10^4[/tex] = 2.0 × [tex]10^5[/tex].
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Nick has $5, $20, and $100 bills that total 17 bills. He exchanges all his $5 bills for $1 bills, then all his $20 bills for $5 bills, and finally all his $100 bills for $20 bills. At the end, Nick has a total of 77 bills. How many $20 bills did Nick have originally? Assume that each exchange preserves the total dollar amount of Nick’s money.
Answer:
8
Step-by-step explanation:
Key to this question is assume that each exchange preserves the total dollar amount of Nick’s money.
If He exchanges all his $5 bills for $1 bills, it means that a $5 bill will result in 5 $1 bills as such, if he had x number of $5 bill, after the exchange, he would have 5x $1 bills.
then all his $20 bills for $5 bills, it means that for each $20 bill, he gets 4 $5 bills which means that if he had y number of $5 bills, after the exchange, he would have 4y $5 bills.
and finally all his $100 bills for $20 bills, then he must have received 5 $20 bills for each $100 such that if he had z number of $100 bills before the exchange, he would have 5z number of $20 bills after the exchange. Given that originally he had 17 bills and later 77 bills then
x + y + z = 17
5x + 4y + 5z = 77
Multiplying the first equation by 5,
5x + 5y + 5z = 85
5x + 4y + 5z = 77
subtract 2 from 1
y = 8
seth painted the figure at the right on his wall how many square inches of paint did he use
Answer:
there isn't enough information
Step-by-step explanation:
What is the distance between the points (4, 9) and ( 14, 11)? Rounded to the nearest tenth, if necessary
Answer:
10.4
Step-by-step explanation:
Mr. Whittaker’s science class uses tide gauges to measure annual variations in water levels at different parts of a river, and then compares those variations to the average annual trend. Matea recorded that the water level in one part of the river fell 1.05 millimeters per year for 2.48 years. This data will be compared to the average annual trend, which shows the water level rising 1.8 mm/year. Which number represents the rate at which the water level fell? Which number should the rate be multiplied by to find the total variation in water level?
I got the correct answers! :)
The rate at which the water level fell is 1.05 mm/year. To find the total variation in water level, multiply this rate by 2.48 years, giving a total variation of 2.604 mm.
Explanation:In Mr. Whittaker's science class, Matea recorded that the water level in one part of the river fell by 1.05 millimeters per year. This number - 1.05 millimeters - represents the rate at which the water level fell each year. To find the total variation in water level over the 2.48 years, you would multiply the rate (1.05 mm/year) by the time (2.48 years). So, the solution would be: 1.05 mm/year * 2.48 years = 2.604 mm. This results in a total variation of 2.604 millimeters over the 2.48 years. This total variation can now be compared to the average annual trend which is a rise of 1.8 mm/year.
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Kiley is replacing the top of a circular table with glass. The circumference of the table is between 6.28 feet and 12.56 feet. According to the graph, what is the range of areas of round glass she might need?
Radii, Circumferences, and Areas
Circumference (feet). Area (square feet).On a coordinate plane, the x-axis is labeled Radius (feet). A line representing the circumference goes through (0, 0), (1, 3.14), and (2, 12.56). A curve line representing the area goes through (0, 0), (1, 3.14), and (2, 12.56).
3.14 feet squared to 12.56 feet squared
1 foot squared to 2 feet squared
1 foot squared to 4 feet squared
3.14 feet squared to 6.28 feet squared
Answer:
The range of areas is 3.14ft^2- 12.56ft^2
Step-by-step explanation:
I don't know which graph the question is referencing but I found the range of areas this way
first I found out what the range of radius would be
since the circumference is pi*diameter
So to find the diameter I did the individual areas divided by pi
6.28/3.14=2
12.56/3.14=4
So the range of diameters is 2 to 4 this means the range of radius's are 1 to 2
Since area of a circle is r^2*pi
This means the range of areas is
1^2*3.14=3.14
2^2*3.14=12.56
So the range of areas is 3.14ft^2 to 12.56ft^2
Answer:
B
Step-by-step explanation:
sorry this doof was being confusing
Find the mean, median, mode, and range of the data set after you perform the given operation on each
data value.
9,7, 12, 13, 9, 3; add 5
(1 pa
mean: 8.8, median: 9, mode: 9, range: 10
mean; 8.8, median: 9, mode: 9, range: 5
mean: 13.8, median: 14, mode: 14, range: 5
mean: 13.8, median: 14, mode: 14, range: 10
Answer:
mean= 8.8
median= 9
mode= 9
range= 10
ANSWER: A
Step-by-step explanation:
Can someone please answer!!! I’m on a time limit!!!
Answer:
2.8
Step-by-step explanation:
the formula of volume of cylinder is pi*r^2*h. if you plug in, you get (3.14)(r^2)(8.7). if you solve for r, you get 2.8!
Y = -6x+5 -2x + y =5
Answer:
Y=18x
Step-by-step explanation:
You have to add 6x plus 5 and you get 11x then you have to subtract 2x from that 11x to get 9x then you have to add 4 plus 5 and you get 9 and add 9x +9 and you get 18x. So Y=18x
If i am wrong i am sorry i am just trying to help but tell me whether i am right or wrong.
Express the height of the tree in terms of trigonometric ratios.
A) 50tan90°
B) 50sin90°
C) 90sin50°
D) 90tan50°
Find the solutions of the quadratic equation 3x^2 + 9x + 17 = 0
The solutions of the quadratic equation 3x² + 9x + 17 = 0 are x₁ = (-9 + √(123)i) / 6 and x₂ = (-9 - √(123)i) / 6, where "i" represents the imaginary unit.
To find the solutions of the quadratic equation 3x² + 9x + 17 = 0, we'll use the quadratic formula:
x = (-b ± √(b² - 4ac)) / 2a.
Here, a = 3, b = 9, and c = 17. We'll plug these values into the formula and simplify the expression step-by-step.
Step 1: Calculate the discriminant (Δ) using the formula Δ = b² - 4ac.
Δ = (9)² - 4 * 3 * 17
Δ = 81 - 204
Δ = -123
Step 2: Substitute the values of a, b, and Δ into the quadratic formula.
x = (-9 ± √(-123)) / 2 * 3
Step 3: Since the discriminant (Δ) is negative, the quadratic equation has no real solutions. Instead, it has two complex solutions.
Step 4: Simplify the expression under the square root.
x = (-9 ± √(-123)) / 6
Step 5: Now, we deal with the square root of a negative number, which is denoted by "i" in the complex number system. √(-123) = √(123)i.
Step 6: Substitute the value of √(-123) back into the equation.
x = (-9 ± √(123)i) / 6
Step 7: Divide both the real and imaginary parts by 6 to get the two complex solutions.
x₁ = (-9 + √(123)i) / 6
x₂ = (-9 - √(123)i) / 6
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Final answer:
The quadratic equation 3x^2 + 9x + 17 = 0 has no real solutions because the discriminant is negative. The solutions are complex numbers and can be expressed as x = -3/2 ± √(123)/6 × i.
Explanation:
To find the solutions of the quadratic equation 3x^2 + 9x + 17 = 0, we will use the quadratic formula, which is x = (-b ± √(b^2 - 4ac)) / (2a) for a quadratic equation of the form ax^2 + bx + c = 0. In our case, a = 3, b = 9, and c = 17. Plugging these values into the formula gives:
x = (-(9) ± √((9)^2 - 4(3)(17))) / (2(3))
x = (-9 ± √(81 - 204)) / 6
x = (-9 ± √(-123)) / 6
Since the discriminant (the part under the square root, b^2 - 4ac) is negative, the equation has no real solutions. Instead, the solutions are complex numbers:
x = (-9 ± √(-123)i) / 6
The final solutions can be expressed as:
x = -3/2 ± √(123)/6 × i
What is the rate of change and initial value for the linear relation that includes the points shown in the table? x y 2 3 4 5 6 7 8 9 Initial value: 1, rate of change: 2 Initial value: 1, rate of change: 1 Initial value: 2, rate of change: 2 Initial value: 3, rate of change: 2
Final answer:
The rate of change is 1 and the initial value is 1.
Explanation:
The table shows the points (2, 3), (4, 5), (6, 7), and (8, 9). To find the rate of change, we can calculate the difference in y-coordinates and divide by the difference in x-coordinates for any two points. Let's take the points (2, 3) and (4, 5) as an example:
The difference in y-coordinates is 5 - 3 = 2.
The difference in x-coordinates is 4 - 2 = 2.
The rate of change is 2 / 2 = 1.
To find the initial value, we can look for the y-coordinate when x is 0 or when the equation is of the form y = mx + b. In this case, the initial value is 1.
The stained glass window below is a semicircle. What is the distance around the window to the nearest hundredth of an inch? Use 3.14 for π.
The distance around the window is 92.52 inches.
What is a semicircle?A semicircle is a one-dimensional locus of points that forms half of a circle. It is a circular arc that measures 180°. It has only one line of symmetry.
Given that, The stained-glass window is semicircular and the bottom edge of the window is 36 in.
We get that, diameter of the window = 36 in
radius = 18 in
Circumference of semicircle = r(2+π)
= 18(2+3.14)
= 92.52 in
Hence, The distance around the window is 92.52 inches.
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Need help ASAP please and thank you
Answer:
[tex]-3m^{12}{n^{6} }[/tex]
Step-by-step explanation:
To begin simplifying this, we can first divide the coefficients, giving us:
[tex]\frac{-3m^{5}n^{4} }{m^{-7} n^{-2} }[/tex]
We know that when dividing exponents, this means we need to subtract the exponent on the denominator from the numerator. This gives us:
[tex]\frac{-3m^{5+7} n^{4+2} }{1}[/tex]
Now, simplifying this gets:
[tex]-3m^{12}{n^{6} }[/tex]
Identify the 16th term of a geometric sequence where a1 = 4 and a8 = −8,748... How do I find the value of r????
Answer:
r = -3
16th term: -516560652
Step-by-step explanation:
Let's use the formula for a geometric sequence:
[tex]a_n=a_1r^{n-1}[/tex], where [tex]a_n[/tex] is the nth term, [tex]a_1[/tex] is the first term, and r is the common ratio
Here, we know the first term is 4. To find r, let's plug in 8 for n and -8748 for [tex]a_n[/tex]:
[tex]a_n=a_1r^{n-1}[/tex]
-8748 = 4 * [tex]r^{8-1}[/tex]
-8748 = 4 * [tex]r^7[/tex]
[tex]r^7[/tex] = -2187
r = -3
So we know that the common ratio is -3. Now, we want to find the 16th term, so n = 16:
[tex]a_n=a_1r^{n-1}[/tex]
[tex]a_{16}=a_1*(-3)^{16-1}=4*(-3)^{17}=-516560652[/tex]
Answer:
r = -3
16th term: -516560652
Step-by-step explanation:
Let's use the formula for a geometric sequence:
, where is the nth term, is the first term, and r is the common ratio
Here, we know the first term is 4. To find r, let's plug in 8 for n and -8748 for :
-8748 = 4 *
-8748 = 4 *
= -2187
r = -3
What is the slant height x of the square pyramid?
The figure shows a square pyramid. The slant height is shown as a dashed line perpendicular to the base edge and is labeled as x. The length of the lateral edge is 8 meters. The lateral edge makes a 60 degree angle with the base edge
Enter your answer in the box. Express your answer in radical form.
x = m
Answer:
4√3
Step-by-step explanation:
sorry that I was late I just taken it sorry
Prisms are 3-D shape with triangles and a base. The value of x from the diagram in radical form is 4√3
SOH CAH TOA identityFrom the given figure, we are to find the value of "x". To do this, we will use the identity
Given the following parameters
slant height = 8m
Opposite side = x
Determine the value of "x"
Sin 60 = x/8
x = 8 sin60
x = 8 * √3/2
x = 4√3
Hence the value of x from the diagram in radical form is 4√3
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what is the surface area of the rocket?
Answer:
Thus, the surface area equals S(r)=πr2+2πrl+πr54r=πr2(1+54)+2πr(14r2−r4)=94πr2+28πr−π2r2=74πr2+28πr.Jul 15, 2016
Step-by-step explanation:
Which line segment has the same measure as ST?
RX
TX
SR
XS
Answer:
SR
Step-by-step explanation:
Which of the following pair of right triangles cannot be proven to be congruent? Select all that apply.
Write the absolute value equations in the form
x−b
=c (where b is a number and c can be either number or an expression) that have the following solution sets:
a
Two solutions: x=2, x=14.
Answer:
|x - 8| = y + 6
Step-by-step explanation:
The vertex of the equation must be somewhere on the line x = 8, because it is the average of the answers.
If the slope of x is 1, then the vertex is (8, -6)
Plug that into the equation and you get Ix - 8I = y + 6
Answer:
lx-8l=6
RSM said It was right
Step-by-step explanation:
Hunk travelled 540 km at an average speed of 90 km/h. If Tim
completed the same amount of distance with 1 hour and 30 min less
than Hunk, what was Tim's average speed for the whole journey?
km/h
Answer: 120 km/h
Step-by-step explanation:
Hi, to answer this question, first, we have to calculate Hunk's time spent on his travel.
Speed rate = distance /time
Time = distance /speed = 540/ 90 =6 hours
Now, since Tim completed the same amount of distance with 1 hour and 30 min less (1.5) we have to subtract 1.5 hours to Hunk's time to calculate Tim’s time:
6-1.5 = 4.5 hours
Tim's speed rate = distance /time
s = 540/4.5 = 120 km/h
Feel free to ask for more if needed or if you did not understand something.
NEED HELP AS AS SOON AS POSSIBLE
Answer:
c
Step-by-step explanation:
trust me
Answer:
it is the 3rd one
Step-by-step explanation:
I did this question
please answer all the questions
Answer:
Step-by-step explanation:
30-3024-30181-16248What is the surface area of the triangular prism?
2,001 square feet
2.376 square feet
2,592 square feet
4.320 square feet
Answer:
2.376 b
Step-by-step explanation:
Answer:
b. 2.376 square feet
Step-by-step explanation:
In the figure attached, the prism is shown.
Area of the bottom rectangle: 40*24 = 960 square feet
Area of the two side rectangles: 2*40*15 = 1200 square feet
Area of the two triangles: 2*24*9/2 = 216 square feet
Surface area of the triangular prism = 960 + 1200 + 216 = 2376 square feet
Keith is using photo software to enlarge a photograph that is 4 inches by 6 inches to 9 inches by 13.5 inches. What is the scale factor of the dilation?
Answer:
2.25
Step-by-step explanation:
The old width of 4 inches became a new width of 9 inches.
Old: 4 in.
New 9 in.
The old length of 6 inches became a new length of 13.5 inches.
Divide the new size by the corresponding old size.
9/4 = 2.25
13.5/6 = 2.25
You see in both cases, the scale factor is 2.25
The scale factor is 2.25
The diameter of a circle is 14 inches. Find the circumference.
Use 22/7 or 3.14 for π.
Please show work! I will give brainliest!
Answer:
43.96 inches
Step-by-step explanation:
when you have the diameter of a circle, you just multiply it by pi and you will get the answer. since your diameter is 14, you multiply it by 3.14 and you will get 43.96 inches
Using π as 3.14, the circumference of the circle with a diameter of 14 inches is approximately 43.96 inches. This level of precision is suitable for most practical applications.
To find the circumference (C) of a circle, you can use the formula C = πd, where d is the diameter. In this case, the diameter is given as 14 inches.
Given the options of using either 22/7 or 3.14 for π, let's use 3.14 for this calculation.
C = 3.14 × 14
≈ 43.96 inches
Therefore, the circumference of the circle is approximately 43.96 inches when using π as 3.14. This means that if you were to wrap a string around the edge of the circle, it would take nearly 43.96 inches of string to complete one full loop.
It's important to note that using 22/7 for π is another approximation and yields a slightly different result, but for most practical purposes, 3.14 is accurate enough.
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2.3 THINK: Florida Part 2
77
In 1840, the population of Florida was about 54,500. Between 1840 and 1860,
the population grew exponentially, increasing by about 60% each decade.
The number of decades can be calculated when estimating population.
1. How many decades are represented between 1840 and 1850?
2. How many decades are represented between 1840 and 1860?
Reply as 1-2
Answer:
1). 1 decade
2). 2 decades
Step-by-step explanation:
Number of years in decade = 10 years
1). When we are calculating the population of Florida between 1840 to 1850,
Number of years between 1850 and 1840 = 1850 - 1840
= 10 years
So number of decades between 1840 and 1850 = [tex]\frac{10}{10}[/tex] = 1 decade
2). Number of years between 1840 and 1860 = 1860 - 1840
= 20 years
Therefore, number of decades between this gap = [tex]\frac{20}{10}=2[/tex] decades
I’m pretty sure it’s x=9, but I want to be sure.
Answer:
x=9
Step-by-step explanation:
3 ^ (x-4) = 243
Rewrite 243 as a power of 3
3 ^ (x-4) =3^5
Since the bases are the same, the exponents are the same
x-4 =5
Add 5 to each side
x-4+4 = 5+4
x=9
Please help me on number 3, 4 and 5 Trigonometry! Please show your work
Answer:
15
Step-by-step explanation:
14^2 + 6^2 = H^2
196 + 36 = H^2
232 = H^2
*Square root both sides*
About 15 = H
Also: H means hypotheses