Work Shown:
1 pound = 16 ounces
5*(1 pound) = 5*(16 ounces)
5 pounds = 80 ounces
Find the missing coordinate.
x = cos t
y = sin t
(-1, [?])
What is the measure of the missing angle?
39 faren height plus 33 plus an unknown number to equal 180
Answer:
108
Step-by-step explanation:
39 + 33 + x = 180
To find the missing angle, we have to add together the two angles that are given and then subtract that from 180.
39 + 33 = 72
180 - 72 = 108
Therefore, our answer is 108 degrees.
I hope this helps! Have a lovely day!! :)
Victor is working on a project and has cut a number of wooden blocks of equal size that are represented by this right rectangular prism. He now needs to cover the wooden blocks on all sides with a red fabric.
How much fabric does Victor need in order to cover 12 of these blocks?
156 cm²
24 cm²
13 cm²
2 cm²
Answer:
(a) 156 cm²
Step-by-step explanation:
The total surface area of the 12 blocks can be computed by first finding the surface area of one block. That result can then be multiplied by 12. The area of one rectangular prism is given by the formula ...
A = 2(LW +H(L +W))
A = 2(4·1 +1/2(4+1)) = 2(4 +5/2) = 13 . . . cm²
The area of 12 such prisms will be ...
12 × (13 cm²) = 156 cm²
Victor needs 156 cm² of fabric to cover 12 blocks.
_____
Additional comment
This problem offers an opportunity to exercise your number sense. The area of the largest surface of one block is (4 cm)×(1 cm) = 4 cm². 12 of these surfaces will have an area of 48 cm². This is only part of the total area, so the only reasonable choice among those offered is 156 cm².
Answer:
156 cm² for K12
What is the value of x to the nearest degree?
Answer:
The answer is 68°
Step-by-step explanation:
Recall that tan ∅° = [tex]\frac{Opposite}{Adjacent}[/tex] for a right triangle.
The value opposite to your angle is 5, and the value that is adjacent to it is 2.
In order to solve for the degree, you use tan^-1([tex]\frac{5}{2}[/tex]) on your calculator.
This gives a value of 68.19459, rounded to just 68.
How many fluid ounces are in 12 1/4 cups
A customer buys three packets of cookies that
cost $0.55 each and a packet of pasta that costs $6.92
She gives the shop assistant $20
How much change should she receive?
Barry earns $1300 a month. He spends 30% of this money on rent and 2/7 on bills. How much of the $1300 does he have left?
Answer:
It should be $538 left after the bills
please help me i need to solve for x
Answer:
1.732i (complex form)
its weird, at high-school level complex shouldn't come, its considered mistake in the question. But the mathematically its all correct
Step-by-step explanation:
In a search engine, 40 000 searches are done every
minute.
How many searches are done in an hour?
Write your answer in standard index form.
Answer:
The answer is 2.4 x 10^6
Step-by-step explanation:
You're going to multiply 40,000 by 60
40,000*60=2400000
Therefore the answer in standard index form will be 2.4 x 10^6
Hope this helps:)....if not then sorry for wasting your time and may God bless you:)
Henry begins a savings account with $500. The savings account accumulates 2.5% annual interest based on the
equation Vh= 500(1.025), where Vh is the value of the account after t years. Andres begins a savings account three
years later with the same initial amount of money at the same interest rate. Which equations represent the value of
Andres's account after t years?
A.
B.
C.
D.
Answer:
it’s B
Step-by-step explanation:
Answer: The answer to the question is option A
Step-by-step explanation:
factorise fully 4x squared + x cubed pls
The value of the equation is A = x² ( 4 + x )
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
A = 4x squared + x cubed
Substituting the values in the equation , we get
A = 4x² + x³ be equation (1)
On simplifying the equation , we get
Taking the common factor as x² in the equation , we get
A = x² ( 4 + x )
Therefore , the value of A is x² ( 4 + x )
Hence , the factorized equation is x² ( 4 + x )
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ2
A cylindrical water tank has a diameter of 9 feet and a height of 16 feet. Each can of paint covers 50 square feet. What is the minimum number of cans of paint needed to cover the outside of the tank
Answer:
12 cans
Step-by-step explanation:
The area of the outside of the tank:
radio = half diameter = 4.5 ft.
base: [tex]A_{b} =\pi r^{2} =\pi (4.5)^{2} =20.25\pi[/tex]
Top: = base [tex]=20.25\pi[/tex]
cylinder: [tex]2\pi rh=2\pi (4.5)(16)=144\pi[/tex]
Total area to paint: [tex]144\pi +2(20.25\pi) =184.5\pi =579.6sq.ft.[/tex]
Number of cans of paint:
[tex]c=\frac{579.6}{50} =11.59=12[/tex]
Hope this helps
13, 39, 117, ...
Find the 6th term.
The sixth term of the sequence 13, 39, 117, ... is 243
How to determine the value of tthe 6th term?The definition of the function is given as
13, 39, 117, ...
The above definitions imply that we simply multiply 3 to the previous term to get the current term
using the above as a guide,
So, we have the following representation
an = 13(3)^(n - 1)
For the 6th term, we have
a(6) = 13(3)^(6 - 1)
Evaluate
a(6) = 243
a₃ = 9 + 3
Hence, the value of the 6th term is 243
Read more about sequence at
brainly.com/question/7882626
#SPJ1
HELP ASAP
Mr. Rodriguez asked 60 randomly chosen students from each grade level at Willowbrook School about their favorite types of reading materials. Of those 60 students, 12 chose science fiction. Mr. Rodriguez used the data to draw the inference that about 20% of middle school students prefer to read science fiction. If 150 students attend the school, did he make a reasonable inference? Explain
Answer:
No
Step-by-step explanation:
The sample size wasn't big enough. It could only be a trend in that grade.
Answer:
Mr. Rodriguez made a reasonable assumption. His surveys were random, non-biased, and relatively large in comparison to the school population. 12 out of 60 is 20%.
Step-by-step explanation:
Someone help with this i beg!
[tex]==================================[/tex]
the rule for the first sequence is "add 1"
so we add 1 in order to get to the next term.
the rule for the next sequence is "add 5"
here, we add 5 in order to get to the next term.
the rule for the next sequence is "subtract 2"
in this sequence, we subtract 2 every time.
the rule for the next sequence is "add 7"
so we add 7 (13+7 does equal 20):)
the rule for the fifth sequence is "multiply by 2"
so this is a geometric sequence, because we use multiplication in order to get to the next term.
the rule for the sixth sequence is "subtract 6"
- we subtract 6 each time :)
the rule for the 7th sequence is "add 2"
the rule for the 8th sequence is "subtract 3"
the rule for the 9th sequence is "multiply by 7"
[tex]\rule{200}{2}~\rule{100}{2}[/tex]
Let's write down the next 2 terms for each sequence.
(the terms are highlighted in bold)
1, 2, 3, 4, 5, 6, 7, 8, 9, 10
4, 9, 14, 19, 24, 29, 34, 39
32, 30, 28, 26, 24, 22, 20, 18
6, 13, 20, 27, 34, 41, 48, 55
3, 6, 12, 24, 48, 96, 192, 384
36, 30, 24, 18, 12, 6, 0, -6
-13, -11, -9, -7, -5, -3, -1
48, 45, 42, 39, 36, 33, 30
1, 7, 49, 343, 2401, 16807, 117649
[tex]\rule{200}{2}[/tex]
note:-Hope everything is clear; if you need any more explanation, kindly ask me; I will comment and/or edit my answer.6) 5 mi
11 mi
7) 22 m
11 m
8) 22 yd
25 yd
Answer:
#6=perimeter=32 area=55
#7=perimeter=66 area=242
#8=perimeter=94 area=550
Step-by-step explanation:
5+5+11+11=32
5x11=55
22+22+11+11=66
22x11=242
22+22+25+25=94
22x25=550
What is the range of the function y = e superscript 4 x y less-than 0 y greater-than 0 y less-than 4 y greater-than 4
The range of a function [tex]\rm y= e^4^x[/tex] is y>0; option second y > 0 is correct.
It is given that the function [tex]\rm y= e^4^x[/tex]
It is required to find the range of a function [tex]\rm y= e^4^x[/tex]
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.
We have a function:
[tex]\rm y= e^4^x[/tex]
If we plot a graph of [tex]\rm y= e^4^x[/tex]:
When x = 0 then [tex]\rm y= e^4^\times^0[/tex] ⇒ 1
When x = 1 then [tex]\rm y= e^4^\times^1[/tex] ⇒ 54.598 and so on.
The graph will exponentially go up as shown in the picture because the 'e' is the positive value(e=2.718) and the power of negative or positive values is never be a negative result.
Thus, the range of a function [tex]\rm y= e^4^x[/tex] is y>0; option second y > 0 is correct.
Learn more about the function here:
brainly.com/question/5245372
Answer:
B, all real numbers less than 0
Step-by-step explanation:
edge 2022
In this figure, ∠1 and ∠2 are located on a line.
Let m∠1=x° and m∠2=(45x)°.
What is the value of x?
Enter your answer in the box.
Answer:
Your answer would be 100
Step-by-step explanation:
4/5 of 100 is 80, 100 and 80 add up to 180, which makes it a supplementary angle, we know it is a supplementary angle because the figure has a line, so x = 100
What is the area of the figure?
Answer:
88
Step-by-step explanation:
We can divide this into 3 shapes, a square, rectangle, and triangle.
Let's solve the area of each of these shapes and add them all up.
First, let's solve the square.
We know that one side is 4 ft so that means that the other side is also 4ft.
4*4=16
Our area of the square is 16ft^2
Let's solve the rectangle next,
Its length is 12ft and its width is 4ft.
12*4=48
So the rectangle area is 48ft^2
Now for the triangle
Remember that area of a triangle is a=hb/2
Our height is 12 ft and our base is 4ft
12*4=48
48/2=24
Triangle is 24ft^2
That means that we can add them all up
24+48+16=88
88ft^2 or 88
There are 210 counters in a bag.30 percent of these counters are red.Work out the number of red counters in the bag
Answer:
63
Step-by-step explanation:
30 percent * 210 =
(30:100)* 210 =
(30* 210):100 =
6300:100 = 63
PLEASE HELP! ASAP!!!!!
Answer:
A, E, B
Step-by-step explanation:
Angel and Jaden were at track practice. The track is 2/5 kilometers around.
Angel ran 1 lap in 2 minutes.
Jayden ran 3 laps in 5 minutes
How many minutes does it take Jayden to run 1 kilometer?
Answer:
See below ↓
Step-by-step explanation:
Information we need
Jayden runs 3 laps in 5 minutesSolving
Time taken by Jayden to run 2/5 kilometers (1 lap) = 5/3 minutesTime taken to run 1 km = Time taken to run 2/5 km x 5/2 Time taken to run 1 km = 5/3 x 5/2 ⇒ 25/6 minutes (improper fraction form)⇒ 4 1/6 minutes (mixed number form)⇒ 4.17 minutes (decimal form)14.01 or 13 or 10 or 107 or 15 or 20 or 14
Answer:
14.01 and 107
Step-by-step explanation:
First let’s review what all the crodile mouths mean:
< = # is less than the # on the right
> = # is more than the # on the right
≤ = # less than or equal to # on the right
≥ = # is greater than or equal to # on right
Equation:
y ≥ 14
To make this true on the values that are greater than or equal to 14 can go.
This means that these values would be correct out of the options:
14.01
107
Furthermore, 13 and 10 don’t make the equation true because neither are greater than or equal to the value 14.
What is the run of a 50% slope with a rise of 50 feet?
a
Answer: 25
Step-by-step explanation: because 50% of 50 is 25
Find the area of triangle
Answer:
Step-by-step explanation:
A = 1/2 bh = 1/2 (12)(17) = 204 square inches
Fill in the table using this function rule y=4x+1
Answer:
1. -7
2. 1
3. 9
4. 17
Step-by-step explanation:
y = 4x + 1
1. y = 4 (-2) + 1
y = -8 + 1
y = -7
2. y = 4(0) + 1
y = 1
3. y = 4 (2) + 1
y = 8 + 1
y = 9
4. y = 4 (4) + 1
y = 16 + 1
y = 17
I hope this helps!
Using function rule, we get,
1. -7
2. 1
3. 9
4. 17
**Given Equation:** y = 4x + 1
1. For x = -2:
- Substitute x = -2 into the equation: y = 4 (-2) + 1
- Calculate: y = -8 + 1
- Result: y = -7
2. For x = 0:
- Substitute x = 0 into the equation: y = 4(0) + 1
- Calculate: y = 1
- Result: y = 1
3. For x = 2:
- Substitute x = 2 into the equation: y = 4 (2) + 1
- Calculate: y = 8 + 1
- Result: y = 9
4. For x = 4:
- Substitute x = 4 into the equation: y = 4 (4) + 1
- Calculate: y = 16 + 1
- Result: y = 17
To know more about function rule,
https://brainly.com/question/10705186
#SPJ3
Element X decays radioactively with a half life of 7 minutes. If there are 980 grams of Element X, how long, to the nearest tenth of a minute, would it take the element to decay to 40 grams?
Answer:
32.3m
Step-by-step explanation:
Use equation A = Ao(0.5)^(t/t½)
Now input values: 40 = 980(0.5)^(t/7)
rearrange for t: t = [7ln(2/49)]/ / ln(0.5). Then from here, you can extract 32.3 as your answer
Answer:
t = 32.3 min
Step-by-step explanation:
This is an example of half-life exponential decay.
For situations like this we have a formula.
[tex]N = N_{0} * (\frac{1}{2})^n[/tex]
N represents the end amount of parent element, N (naught) represents the starting amount of the parent element, and n being the amount half-lifes that have occurred.
Now n, can be broken down further into t/p, which means the time elapsed (t) divided by time it takes for one decay period (p), which essentially gives you the amount of half-lifes that have occurred. So you can represent the formula as:
[tex]N = N_{0} * (\frac{1}{2})^{t/p}[/tex]
The question tells you you start off with 980 grams of Element x, so put that for N naught. [tex]N = 980g * (\frac{1}{2})^{t/p}[/tex]. Then it tells you half-life is 7 minutes, which means the period it takes for one half-life to occur is 7, which is p. [tex]N = 980g * (\frac{1}{2})^{t/7min}[/tex]. You are also told that you end up with 40 grams, so put that in for N. [tex]40g = 980g * (\frac{1}{2})^{t/7min}[/tex]. Now we solve for t, the time elapsed.
(This is the part where you use logs to solve, but if you are still rough on this, I'll walk you through it)
Start off by dividing on both sides.
[tex]\frac{40g}{980g} = (\frac{1}{2})^{t/7min} \\, \frac{2}{49} = (\frac{1}{2})^{t/7min}[/tex]
Take the log of both sides.
[tex]log(\frac{2}{49}) = log( (\frac{1}{2})^{t/7min})[/tex]
Now we gotta get t out of the exponent, we'll do this by using log laws. More specifically the exponent law for log laws which states. [tex]log(b^x) = x*log(b)[/tex]. If we apply that to our situation like so.. [tex]log((\frac{1}{2})^{t/7min}) = \frac{t}{7min} * log(\frac{1}{2})[/tex]
Now our whole equation now looks like this:
[tex]log(\frac{2}{49}) = \frac{t}{7min} * log( \frac{1}{2})[/tex]
keep simplifying,
[tex]\frac{log(\frac{2}{49}) }{log(\frac{1}{2}) } = \frac{t}{7min}[/tex]
[tex]7min *\frac{log(\frac{2}{49}) }{log(\frac{1}{2}) } = t\\\\t = 32.3min \\[/tex]
Now you have your answer!
Suppose you bought 20 tickets in a drawing for a color television. There were 300 tickets sold in the drawing,
a. What is the probability that you win the color television?
b. What are the odds in favor of you winning the television?
c. What are the odds against you winning the television?
The diagram shows a track composed of a rectangle with a semicircle on each end. The area of the rectangle is 7,200 square meters. What is the perimeter of the track? Use 3.14 for Pi
Answer:
The perimeter of the track is the two circumferences of the semicircles (when combined, they form one circle, so we can just find the circumference of the circle) added to the lengths of the rectangle (160 meters).
To find the circumference of the circle, we need to know the diameter.
Circumference of a circle: dπ or 2rπ, where d represents diameter and r represents radius
The diameter of the circle happens to be the same as the width of the rectangle. We know that the area of a rectangle is found by multiplying its length by its width. We know that the area is 14400 and that its length is 160.
Width: area divided by length
14400160=90
The diameter of the circle and the width of the rectangle is 90 meters.
Circumference:
90⋅π=90π→ If you are using an approximation such as 3.14 for π, multiply that by 90
Add 160⋅2 to the circumference since the lengths of the rectangle are also part of the perimeter.
160⋅2=320
The perimeter of the track is 548.4 meters.
What is the perimeter?The perimeter of a shape is defined as the total distance around the shape. It is the length of the outline or boundary of any two-dimensional geometric shape. The perimeter of different figures can be equal in measure depending upon the dimensions.
Given that, the area of the rectangle is 7,200 square meters.
From the figure, length of a rectangle = 120 meter
Here, area of rectangle = Length×Width
120×Width=7200
Width = 60 meter
So, diameter of semicircle is 60 meter.
Radius = 30 meter
Perimeter of track = Perimeter of rectangle + Circumference of two semicircle
= 2(120+60)+2πr
= 360+2×3.14×30
= 360+188.4
= 548.4 meters
Therefore, the perimeter of the track is 548.4 meters.
To learn more about the perimeter visit:
https://brainly.com/question/6465134.
#SPJ3
The accompanying table shows the number of bacteria present in a certain culture
over a 5 hour period, where x is the time, in hours, and y is the number of
bacteria. Write an exponential regression equation for this set of data, rounding all
coefficients to the nearest hundredth. Using this equation, determine the number o
bacteria present after 13 hours, to the nearest whole number.
Hours (x) Bacteria (y)
0 1892
1
2106
2
2
2342
3
2525
4
2819
4
5
5
3042
The general form of the exponential regression equation that models the number of bacteria is y = ab^x
The exponential regression equation is y = 1910.38 * 1.1^x
How to determine the exponential regression equation?The dataset is given as:
x y
0 1892
1 2106
2 2342
3 2525
4 2819
5 3042
To determine the exponential regression equation, we make use of a graphing calculator.
From the graphing calculator, we have the following calculation summary
a = 1910.38
b = 1.10
An exponential regression equation is represented as:
y = ab^x
So, we have:
y = 1910.38 * 1.1^x
Hence, the exponential regression equation is y = 1910.38 * 1.1^x
Read more about regression equations at:
https://brainly.com/question/732489