Answer:
g× $12130.0012130.00.
Ella has a collection of bracelets. out of the 6 brackets, she gave her Sister 1 and her mother 3. What fraction of bracets did Ella's sister receive?
Answer:
1/6
Step-by-step explanation:
just use the total amount of bracelets as the denominator and the amount of bracelets her sister received as the numerator
1. A clock has a minute hand that is 6 inches long. How fast is the tip of the minute hand moving?
Give your answer in inches/minute.
The tip of the minute hand moves in a circle of radius exists 6 in. In 25 minutes, the tip of the minute hand moves 15.7 in
What is meant by length of an arc?The arc length of a circle can be estimated with the radius and central angle utilizing the arc length formula, Length of an Arc = θ × r, where θ is in radian. Length of an Arc = θ × (π/180) × r, where θ exists in degree.
The tip of the minute hand moves in a circle of radius R = 6in.
We will find that for each case, 15 minutes and 25 minutes, the distance traveled is 9.42 in and 15.7 in correspondingly.
Remember that the length of an arc is defined by an angle θ in a circle of radius R is given by:
L = (θ/360°) × 2 × pi × R
We know that R = 6in.
To find how much the tip of the minute hand moves in 15 minutes.
Then we need to find the angle θ that the tip moves in these 15 minutes.
Remember that a complete rotation in the clock has 60 minutes.
This means that there exists an equivalence:
60 min = 360°
1 = (360°/60 min)
15 min = (15 min) × (360°/60 min) = 90°
Then, in 15 minutes, the tip of the minute hand moves:
L = (90°/360°) × 2 × 3.14 × 6in = 9.42 in
For the case of 25 minutes the procedure is the same:
25 min = (25 min) × (360°/60 min) = 150°
Then, in 25 minutes, the tip of the minute hand moves:
L = (150°/360°) × 2 × 3.14 × 6in = 15.7 in
Therefore, the correct answer is 15.7 in.
The complete question is:
The minute hand of a clock is 6 inches long. how far does the tip of the minute hand move in 15 minutes? how far does it move in 25 minutes? round answers to two decimal places.
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Linear Pair Homework need help on this
The given angles are- a= 62, b = 25, c = 99, d = 141, e = 42, f = 76, g = 88, h = 100, k = 72, m = 104, n = 71, p = 118, q = 82, r = 94, and s = 121.
Here, we are given a figure as shown in the image above.
We know that angles on a straight line are supplementary, that is, the sum of all the angles on a straight line is 180.
Thus, we can easily form the following equations and find the angles-
a + 118 = 180
a = 62
a + 93 + b = 180
⇒ 62 + 93 + b = 180
b = 25
3b + 6 + c = 180
75 + 6 + c = 180
⇒ c = 99
c - 60 + d = 180
99 - 60 + d = 180
⇒ d = 141
d- 3 + e = 180
141 - 3 + e = 180
⇒ e = 42
2e + 20 + f = 180
84 + 20 + f = 180
⇒ f = 76
f + 16 + g = 180
76 + 16 + g = 180
⇒ g = 88
g - 8 + h = 180
88 - 8 + h = 180
⇒ h = 100
h + 8 + k = 180
100 + 8 + k = 180
⇒ k = 72
k + 4 + m = 180
72 + 4 + m = 180
⇒ m = 104
m + 5 + n = 180
104 + 5 + n = 180
⇒ n = 71
n - 9 + p = 180
71 - 9 + p = 180
⇒ p = 118
p - 20 + q = 180
118 - 20 + q = 180
⇒ q = 82
q + 4 + r = 180
82 + 4 + r = 180
⇒ r = 94
r - 35 + s = 180
94 - 35 + s = 180
⇒ s = 121
Thus, we get the given angles as- a= 62, b = 25, c = 99, d = 141, e = 42, f = 76, g = 88, h = 100, k = 72, m = 104, n = 71, p = 118, q = 82, r = 94, and s = 121.
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pllllllllllllllllllls help plllllllls i beg you
Answer:
135 cookies
Step-by-step explanation:
If the baker starts with 1382 cookies and uses 302 of them then they'll have 1080 left because 1382-302=1080. Then, if she wants to make cookies with 8 chocolate chips each, then she can make 135 cookies because 1080/8=135.
1. Write a variable expression for the product between a number y and 2.
y. 3
y 2
2+y
2-y
Answer:
it'd be "the product OF a number y and 2." Answer: 2y.
Step-by-step explanation:
There are 84 members of an archery club this summer. by next summer, mike hopes the number of members will be 125% this number. what is mike's goal for the number of members next summer?
Answer:105 i believe so
Step-by-step explanation:
Answer:
105 members
Step-by-step explanation:
[tex]1.25 \times 84 = 105[/tex]
the event containing the outcomes belonging to a or b or both is the __________ of a and b.
The event containing the outcomes belonging to a or b or both is the union of a and b.
Let us consider two sets a and b, and say events or the elements in set a are: (x, y, z), and the elements in set b are: (o, p, q)
The union of these two sets will give:
aUb=(x, y, z, o, p, q)
Now, a union of two sets (denoted by U), for our case a and b, is the set or event containing the elements belonging to a or b or both the elements in a and b altogether.
Thus, the even containing the outcomes belonging to a or b or both in a and b altogether is the union of a and b.
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Question 14>If 3000 dollars is invested in an account for 10 years. Find the value of the investment at the end of10 years if the interest is:(a) 6.2% compounded monthly: $(b) 6.2% compounded daily (ignore leap years): ¢
Given:
Principal amount, P = $3000
Time, t = 10 years
Let's solve for the following:
• (a). Find the value of the investment if the interest is 6.2% compounded monthly.
Apply the compound interest formula:
[tex]A=P(1+\frac{r}{n})^{nt}[/tex]Where:
• P is the principal = $3000
,• r is the interest rate = 6.2% = 0.062
,• n is the number of times compounded = monthly = 12 months a year
,• t is the time in years = 10 years
Plug in these values and solve for the value, A:
[tex]\begin{gathered} A=3000(1+\frac{0.062}{12})^{12*10} \\ \\ A=3000(1+0.00516667)^{120} \\ \\ A=3000(1.00516667)^{120} \\ \\ A=3000(1.855963241) \\ \\ A=5567.89 \end{gathered}[/tex]Therefore, if it is compounded monthly, the value at the end of 10 years is $5567.89
• (b). 6.2% compounded daily
In this case, the number of times compounded will be:
n = 365 times a year.
Thus, we have:
[tex]\begin{gathered} A=3000(1+\frac{0.062}{365})^{365\times10} \\ \\ A=3000(1.000169863)^{3650} \\ \\ A=3000(1.858830169) \\ \\ A=5576.49 \end{gathered}[/tex]If it is compounded daily, the value at the end of 10 years will be $5576.49
ANSWER:
(a). $5567.89
(b).
Bridge math sails.....
The volume of the waffle of come is 44.7735 inches².
How to calculate the volume?The volume of a cone is calculated as:
= 1/3 πr²h
where π = 3.142
r = radius = Diameter / 2 = 3/2 = 1.5
h = height = 19
The volume will now be:
V = 1/3 πr²h
V = 1/3 × 3.142 × 1.5² × 19
V = 44.7735 inches²
The volume is 44.7735 inches².
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which equations represent exponential growth? which equations represent exponential decay? drag the choices into the boxes to complete the table. put responses in the correct input to answer the question. select a response, navigate to the desired input and insert the response. responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. responses can also be moved by dragging with a mouse. exponential growth exponential decay
1. isn't an exponential function
2. growths
3. growths
4. decay
5. growths
The exponential operations have the subsequent formula: y = K1 × [tex]K2^{(k3*t)}[/tex], where K3, K2, and K1 are constants and K2 is more distinguished than zero.
Exponential operation graphs either decrease or always increase.
To determine whether the operation increases or declines, just consider it at two points, for example, t = 0 and t = 1, and compare the consequences.
1. y = 100 × [tex](1 - 12)^x[/tex] = 100 × [tex](-11)^x[/tex]
Because (-11) is a negative number, y is not an exponential function.
2. y(0) = 0.1 × [tex](1.25)^0[/tex] = 0.1
y(1) = 0.1 × (1.25) = 0.125
y(1) > y(0) → growths
3. y(0) =((1−0.03) × 12)² × (0) = 1
y(0) =((1 − 0.03) × 12)²= 135.4896
y(1) > y(0) → growths
4. y(0) = 426 × [tex](0.98)^0[/tex] = 426
y(1) = 426 × [tex](0.98)^1[/tex] = 417.48
y(1) < y(0) → decay
5. y(0) = 2050 × [tex](12)^{0}[/tex] = 2050
y(1) = 2050 × 12 = 24600
y(1) > y(0) → growths
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The question is -
Does each function describe exponential growth or decay?
Drag and drop the equations into the boxes to correctly complete the table.
Growth Decay
y=100(1−12)^ty=0.1(1.25)^ty=((1−0.03)12)^2ty=426(0.98)^ty=2050(12)^twrite an expression you could use to convert 2.5 gallons to quarts
After the conversion of units, 2.5 gallons to quarts is 12 quarts.
What is the conversion of the unit?Unit is a standard measure that is used to express any amount. For example, a unit of length is a meter, unit of volume is a liter.The process of changing from one unit to another is called the conversion of a unit.Conversion of units is a very important tool for doing mathematical calculations in maths, physics, and even in chemistry.Multiply to change from a larger to a smaller unit. Divide to change from a smaller unit to a larger one.The same attribute is expressed using a unit conversion but in a different unit of measurement. For instance, time can be expressed in minutes rather than hours, and distance can be expressed in kilometers, feet, or any other measurement unit instead of miles.So, 1 gallon = 4.8 quarts:
Now,
4.8 × 2.5 quarts= 12 quartsTherefore, after the conversion of units, 2.5 gallons to quarts is 12 quarts.
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what is the gradient of the blue line?
Answer:
gradient = 4
Step-by-step explanation:
use the slope ( gradient) formula to find gradient m
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (4, 0) and (x₂, y₂ ) = (6,8) ← 2 points on the line
m = [tex]\frac{8-0}{6-4}[/tex] = [tex]\frac{8}{2}[/tex] = 4
Answer:
-0.25
Step-by-step explanation:
Find the radio said the circle given the central angle in the area of the shaded sector
The formula for the area of sector is,
[tex]A=\frac{\theta}{360}\times\pi(r)^2[/tex]Detemine the radius of the circle.
[tex]\begin{gathered} 60\pi=\frac{24}{360}\times\pi(r)^2 \\ r^2=\frac{60\cdot360}{24} \\ =900 \\ r=\sqrt[]{900} \\ =\sqrt[]{3\cdot3\cdot10\cdot10} \\ =30 \end{gathered}[/tex]Thus, radius of the circle is 30 units.
Does anyone know what the Like term is for 2n − n −4+7n
Answer:
2n, -n, 7n
Step-by-step explanation:
Like terms have the same variable parts.
The terms 2n, -n, and 7n, have n as the variable parts, so the like terms are
2n, -n, 7n
The only term that is not a like term here is -4.
Answer: 1
Step-by-step explanation: Well, the like term was going to be n, because 3 of the things have a n. But, because of the 4, the like term isn't n. and because n is the same as 1n, the only like term is one
Which pair of angles are corresponding angles?
Answer:
3 and 7
Step-by-step explanation:
They are in the same relative position as each other
Grace gave her sister a riddle.
I have a number x. I add 15 to twice of x to obtain A. I subtract 4 from x to obtain B. I multiply B by 3 to obtain C. A is equal to C.
Graces sister said the riddle cannot be solved but Grace thought otherwise. Who is right?
Answer:
27, Grace
Step-by-step explanation:
2x + 15 = A x-4 = B 3B = C C= 3x-12 3x-12 = 2x + 15
+12 +12
3x=2x+27
x=27
Grace is right
After working a summer job, you have $1,000 to put into a bank account. You need to decide which bank is a better investment: Elite Bank or Bankify.
Elite Bank is offering a monthly interest rate of 1%. Which equation models how much money you'd have in an Elite Bank account after (x) months?
A. g(x) = 1000/x + 1.01
B. g(x) = 1000(1.01)^x
C. g(x) = 1000 + 1.01x
D. g(x) = 1000 (1.1)^x
Answer:
A because you need to divide that $1000 into the x amount of months that you have.
Part 1 of 4
For the figure shown on the right, find the value of the variable and the measures of the angles.
(2x+40)
(x-12)
P
Answer: x = 38
116
38
28
Step-by-step explanation:
2x + 40 + x + x - 12 = 180
Simplify.
4x + 28 = 180
Subtract 28 on both sides.
4x = 152
Divide by 4 on both sides.
x = 38
For a card trick, Barry is using 14 cards from a deck. If each suit he uses has 5 numbered cards and c face cards, which expression shows how many suits he is using?
A. 14 ÷ (5 + c)
B. 14 x 5 + c
C. 14 ÷ 5 + c
D. 14 x (5 + c)
The correct answer is option A. 14 ÷ (5 + c).
Barry exists spreading the cards among the suits, then he needs enough suits to hold the total of 14 cards he has. Hence, we need to divide the total number of cards by the total number of cards,
What is meant by expression ?An expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles.
A number, a variable, or a mix of numbers, variables, and operation symbols make up an expression. Two expressions joined by an equal sign form an equation.
If we assume Barry exists spreading the cards among the suits, then he needs enough suits to hold the total of 14 cards he has. Hence, we need to divide the total number of cards by the total number of cards.
Therefore, the correct answer is option A. 14 ÷ (5 + c)
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an insurance company offers its policyholders a number of different premium payment options. for a randomly selected policyholder, let x be the number of months between successive payments. the cumulative distribution function of x is
The cumulative distribution function of x is 0.60.
Here X has discrete probability distribution.
[tex]$$\begin{aligned}&\mathrm{P}(\mathrm{X}=1)=0.30 \\&P(X=3)=F(3)-F(1)=0.40-0.30=0.10 \\&P(X=4)=F(4)-F(3)=0.45-0.40=0.05 \\&P(X=6)=F(6)-F(4)=0.60-0.45=0.15 \\&P(X=12)=F(12)-F(6)=1-0.60=0.40\end{aligned}$$[/tex]
Following table shows the pmf:
X P(X=x)
1 0.3
3 0.1
4 0.05
6 0.15
12 0.4
Following is the graph of CDF is [SEE in attachement]
[tex]$P(3 \leq X \leq 6)=F(6)-F(1)=0.60-0.30=0.30$$P(X \geq 4)=1-F(3)=1-0.40=0.60$[/tex]
The probability function that X will have a value less than or equal to x is known as the Cumulative Distribution Function (CDF) of a real-valued random variable X, evaluated at x. It is employed to describe a table's random variables' probability distribution.
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A monument is 120 feet tall. How many inches is this? First fill in the blank on the left side of the equation using one of the ratios. Then write your answer on the right side of the equation.
The length of the building is equal to 1440 inches
Conversion of Metric UnitTo solve this problem, we simply need to convert the length from feet to inches.
So, to convert a measurement in feet to inches, all you need to do is multiply the number by 12. This is an exact number and this will make it easy on our question since its a significant figure.
From metric units;
1 feet is equal to 12 inches
To convert 120 feet to inches, we simply have to multiply 120 by 12 to get the value in inches.
Let the value of the unknown be represented by x
[tex]1ft = 12in\\120ft = x\\x = 120 * 12 \\x = 1440in[/tex]
The length of the monument is equal to 1440 inches.
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What is the volume of a cylinder that has a height of 23 and a radius of 4?
Answer:
V = 1156.11
Step-by-step explanation:
V = πr^2h
V = π(4)^2(23)
V = π(16)(23)
V = π(368)
V = 1156.11
6. The scale on a map of a wilderness area shows that 2 cm represents 3 km. The camp store is
20 cm from the beach on the map.
a) What is the scale factor between the map and the wilderness area?
The scale factor between the map and the wilderness area is :
1:7500
Given, the scale on a map of a wilderness area shows that 2 cm represent 3 km.
Whereas the camp store is 20 cm from the beach on the map.
Calculating scale factor
From the question, we are to determine what the scale factor from the map to the wilderness area is:
we know that, the scale on a map of a wilderness area shows that 2 cm represent 3 km.
so, convert km to cm.
2cm = 3 km
1 cm = 3 km/ 2 cm
cm = 3×100000/2
cm = 3×50000
cm = 150000
= 150000 cm
scale factor between the map and the wilderness area :
⇒ 20 cm : 150000 cm
⇒ 2 : 15000
⇒ 1 : 7500
Hence the scale factor between the map and the wilderness area
is 1:7500
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Can 2015473 in expanded form be written like 2,000,000+15,000+400+70+3 ?
The most appropriate choice for expanded form of a number will be given by-
We can expand 2015473, as 2015473 can be written as 200000 + 15000 + 400 + 70 + 3
And every integers can be written in expanded form.
What is expanded form of a number?
At first it is important to know about integers.
A number with no fractional parts is called integer. Integers can be positive, negative and zero is also an integer.
Expanded form of a number is equal to the sum of place value of its digit.
For example, for 423, place value of 4 = 400, place value of 2 = 20, place value of 3 = 3
423 = [tex]400 + 20 + 3[/tex]
Here,
2015473 can be written as 200000 + 15000 + 400 + 70 + 3
every integer can be written in expanded form.
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What is the correct way to solve this problem? I cannot for the life of me figure this out.
180-x=x
????
Answer:
x = 90
basically this is just finding the half of the number. so you can verify this by adding 90 + 90 = 180. Lmk If you get a good grade on this.
Use the figure below to answer questions #18 - #21.
18. ∠1 = ___°
19. ∠2 = ___°
20. ∠3 = ___°
21. ∠5 = ___°
Answer: 5
Step-by-step explanation:
18. ∠1 = ___°
19. ∠2 = ___°
20. ∠3 = ___°
21. ∠5 = ___°
Calculate the slope of (-4 7)and(8,4).Express your answer in simplest form
The slope for the given points is -0.25.
What is the slope?
A line's slope is defined as the ratio of the change in y coordinate here to the change in x coordinate.Both the net change in the y-coordinate and indeed the net change in the x-coordinate are denoted by y and x, respectively.A line's slope provides information on the steepness and direction of the line. By figuring out the difference here between the coordinates of the two points, (x1,y1) and (x2,y2), it is simple to calculate the slope of a straight line through them. The letter "m" is frequently used to denote slope.Given points are (-4 7) and (8,4)
Slope can be calculated as y2-y1/x2-x1
m=(4-7)/(8-(-4)) =-0.25
The slope for the given points is -0.25.
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5000 people were expected to run and lose 700000 calories. some didnt run and only 4.2x10^6 calories were lost. how many participants did not run
Please show work
The number of participants that didn't take part is 2000.
How to calculate the number?Let the number of people that take part in the race be x.
From the information, 5000 people were expected to run and lose 7000000 calories. some didnt run and only 4.2x10^6 calories were lost. It should take about 4.2x10^6 = 4200000.
This will be illustrated as:
x/5000 = 4200000 / 7000000
x = (5000 × 4200000) / 7000000
x = 3000
Therefore, 3000 took part. Those that didn't take part will be:
= 5000 - 3000.
= 2000
Therefore, 2000 people didn't take part.
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we cemene vironment there bly on som abous imples from all argue that our own planet's potes ne Others will suy that -velopiny, more sustaina Kuta Software - Infinite Algebra 2 Absolute Value Inequalities Solve each inequality and graph its solution. Name Samanthacebonos Date 3/8/2021 1) lonl=18 LLO.
Absolute value x, -x
|n| + 2 ≥ 5
then
|n| ≥ 5 - 2
|n| ≥ 3
Then eliminate parenthesis
n ≥ 3
and
n ≤ -3
Then answer is
n ≤ - 3,. 3 ≤ n
Graph of |n| + 2 ≥ 5
Question 9
|x - 2| - 5 < -2
then
|x - 2| < 5 - 2
|x - 2| < 3
Then eliminate parenthesis
x - 2 < 3
(x - 2) < -3
Then answer is
x< 5
x < -1
New graph question 9
or Kayden's lemonade recipe, 5 lemons are required to make 3 cups of lemonade. At what rate are lemons being used in lemons per cup of lemonade?
The rate of lemons being used in lemons per cup of lemonade is approximately 1.67 lemons per cup of lemonade.
What rate are lemons being used in lemons per cup of lemonade?Unit rate is the measure of an item per one of another item.
Number of lemons = 5
Number of cups of lemonade = 3
Rate of lemons being used in lemons per cup of lemonade = Number of lemons / Number of cups of lemonade
= 1.666666666666666
Approximately,
1.67 lemons per cup of lemonade
In conclusion, 1.67 lemons per cup of lemonade is Kayden's lemonade recipe.
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