The second on a watch is 14mm long. What area does it sweep through in 30 seconds
Exact Area = 98pi
Approximate Area = 307.8760800518 (use calculator stored version of pi)
Approximate Area = 307.72 (using pi = 3.14)
Units are in square millimeters
======================================================
Explanation:
In 60 seconds, the hand sweeps out a full circle of radius 14. The area of this circle is
A = pi*r^2 = pi*14^2 = 196pi
Half of this is what the hand sweeps out in 30 seconds, so A/2 = (196pi)/2 = 98pi is the exact area it sweeps out. Your calculator would then show 98pi = 307.8760800518 approximately
If instead you use pi = 3.14, then the approximate area is 98*3.14 = 307.72
The admission fee at an amusement park is $3.50 for children and $6.80 for adults. On a certain day, 223 people entered the park, and the admission fees collected totaled 1160 dollars. How many children and how many adults were admitted?
Answer:
108 children and 115 adults were admitted
Step-by-step explanation:
Create a system of equations where c is the number of children admitted and a is the number of adults admitted:
c + a = 223
3.5c + 6.8a = 1160
Solve by elimination by multiplying the top equation by -3.5:
-3.5c - 3.5a = -780.5
3.5c + 6.8a = 1160
Add the equations together and solve for a:
3.3a = 379.5
a = 115
So, 115 adults were admitted.
Find how many children were admitted by subtracting 115 from 223, the total number of people admitted:
223 - 115
= 108
108 children and 115 adults were admitted.
Simplify.
Remove all perfect squares from inside the square root.
V63 =
I need the answer ASAP can anyone help?
3*sqrt(7)
3 times the square root of 7
====================================================
Explanation:
I'm assuming the V stands for square root. You can write sqrt(63).
[tex]\sqrt{63} = \sqrt{9*7}\\\\\sqrt{63} = \sqrt{9}*\sqrt{7}\\\\\sqrt{63} = 3\sqrt{7}[/tex]
The idea is to factor 63 in such a way that one factor is the largest perfect square possible, that way we can pull the root apart to simplify as shown above. The rule I used for the second step is [tex]\sqrt{x*y} = \sqrt{x}*\sqrt{y}[/tex]
PLS HELP ASAP! 20 PTS
evaluate
Answer:
Step-by-step explanation:
Cos^-1(1/2) = 60
To get from a degree to radian, simply multiply by pi then divide by 180. So the final answer is 1/3pi or approximately 1.0472
I hope this helped! :D
Use the following prompt to answer the next 6 questions. Suppose we want to test the color distribution claim on the M&M’s website that a bag of plain M&M’s is made up of 10% blue, 10% orange, 10% green, 20% red, 20% yellow, and 30% brown. We select a sample of 400 plain M&M’s and found the following: Color Blue Orange Green Red Yellow Brown Frequency 30 48 55 66 70 131 Is there evidence to doubt the color distribution claimed by the website? Use ????=0.05
Answer:
The claim on the M&M’s website is not true.
Step-by-step explanation:
A Chi-square test for goodness of fit will be used in this case.
The hypothesis can be defined as:
H₀: The observed frequencies are same as the expected frequencies.
Hₐ: The observed frequencies are not same as the expected frequencies.
The test statistic is given as follows:
[tex]\chi^{2}=\sum\limits^{n}_{i=1}{\frac{(O_{i}-E_{i})^{2}}{E_{i}}}[/tex]
Here,
[tex]O_{i}[/tex] = Observed frequencies
[tex]E_{i}=N\times p_{i}[/tex] = Expected frequency.
The chi-square test statistic value is, 14.433.
The degrees of freedom is:
df = k - 1 = 6 - 1 = 5
Compute the p-value as follows:
[tex]p-value=P(\chi^{2}_{k-1} >14.433) =P(\chi^{2}_{5} >14.433) =0.013[/tex]
*Use a Chi-square table.
The significance level is, α = 0.05.
p-value = 0.013 < α = 0.05.
So, the null hypothesis will be rejected at 5% significance level.
Thus, concluding that the claim on the M&M’s website is not true.
HCF of algebraic expression x square minus y square and x y minus y square.
Answer:
(x-y+z)(x-y-z)
Given (x²-2xy+y²) - z²
= (x-y)² - z²
/* By algebraic identity
a²-2ab+b² = (a-b)² */
=[(x-y)+z][(x-y)-z]
/* a²-b² = (a+b)(a-b) */
= (x-y+z)(x-y-z)
Therefore,
(x²-2xy+y²)-z² =(x-y+z)(x-y-z)
Step-by-step explanation:
x
2
y
2
=x×x×y×y
xy
2
=x×y×y
h.c.f=xy
2
Select the correct answer.
Solve – 93-(-103)
OA.
-13
11
OB.
Oc. 1917
D. 19 /
Answer:
1 1/7.
Step-by-step explanation:
-9 2/7 - (-10 3/7)
= -9 2/7 + 10 3/7
= - 9 + 10 - 2/7 + 3/7
= 1 + 1/7
= 1 1/7.
Answer:
[tex] \huge \boxed{ \bold{ \purple{1 \frac{1}{7} }}}[/tex]Option B is the correct option
Step-by-step explanation:
[tex] \mathsf{ - 9 \frac{2}{7} - ( - 10 \frac{3}{7}) }[/tex]
First thing we have to do is that convert the mixed number into improper fraction .
[tex] \blue{ \mathsf{how \: to \: convert \: \: the \: improper \: fraction \: to \: mixed \: number}}[/tex]
Follow the steps:
Multiply denominator by the whole number.Add the answer from step 1 to the numerator.Put step 2 answer over the denominatorNow, let's do it!
[tex] \mathsf{ - \frac{ 9 \times7 + 2 }{7} - ( - 10 \frac{3}{7} )}[/tex]
⇒[tex] \mathsf{ - \frac{65}{7} - ( - 10 \frac{3}{7} )}[/tex]
When there is a ( - ) in front of an expression in the
parentheses , change the sign of each term in the expression
⇒[tex] \mathsf{ - \frac{65}{7} + 10 \frac{3}{7} }[/tex]
Convert mixed number into improper fraction
⇒[tex] \mathsf{ - \frac{65}{7} + \frac{73}{7} }[/tex]
While performing the addition and subtraction of like fractions , you just have to add or subtract the numbers for respectively in which the denominator is retained same
⇒[tex] \mathsf{ \frac{ - 65 + 73}{7} }[/tex]
Calculate
⇒[tex] \mathsf{ \frac{8}{7} }[/tex]
Convert the improper fraction into mixed fraction.
( Since 8 is being divided by 7 , I am gonna use long division )
( See attached picture )
⇒[tex] \mathsf{1 \frac{1}{7} }[/tex]
Hope I helped!
Best regards!!
Your skateboard ramp is 2 3/8 feet high. Your friend's skateboard is 2 2/5 feet high. which skateboard is higher?
Answer:
2-3/8 = 2.375
2-2/5 = 2.4
2.4 - 2.375 = 0.025
Your friend's skateboard ramp is 0.025 foot higher
than your skateboard ramp is.
That's about 1.1% higher . . . 0.3 inch, or about 7.62 milometers.
Find the gradient, picture below
Answer:
[tex]\frac{dy}{dx} = \frac{13}{8} [/tex]
Step-by-step explanation:
[tex] y = 2x + 6 {x}^{ - \frac{1}{2} } \\ \frac{dy}{dx} = 2 + 6( - \frac{1}{2}) {x}^{ - \frac{1}{2} - 1 } \\ \frac{dy}{dx} = 2 - 3 {x}^{ - \frac{3}{2} } \\ \frac{dy}{dx} = 2 - \frac{3}{ \sqrt{ {x}^{3} } } [/tex]
When x = 4,
[tex]\frac{dy}{dx} = 2 - \frac{3}{ \sqrt{ {4}^{3} } } \\ = \frac{13}{8} [/tex]
Answer:
Hello,
Answer 13/8
Step-by-step explanation:
[tex]y=2x+\dfrac{3}{\sqrt{x} } \\\\y'=2+6*\dfrac{-1}{2} x^{\frac{-3}{2} }\\\\y'=3-\frac{3}{\sqrt{x^3}} \\\\\\For x=4, \\\\y'(4)=2-\dfrac{3}{8} =\dfrac{13}{8}[/tex]
Find the values of x and y if (-x + 5, 1) = (-y, 2x - 5y).
Answer:
x = 8, y = 3
Step-by-step explanation:
Equating corresponding x and y coordinates , then
- y = - x + 5 ( multiply through by - 1 )
y = x - 5 → (1)
2x - 5y = 1 → (2)
Substitute y = x - 5 into (2)
2x - 5(x - 5) = 1 ← distribute and simplify left side
2x - 5x + 25 = 1
- 3x + 25 = 1 ( subtract 25 from both sides )
- 3x = - 24 ( divide both sides by - 3 )
x = 8
Substitute x = 8 into (1) for corresponding value of y
y = 8 - 5 = 3
Write down all the prime numbers between 20 and 70
Answer:
23,29,31,37,41,43,47,53,59,61 and 67.
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
Answer:
23, 29, 31, 37, 41, 43, 47, 53, 61, 67
Step-by-step explanation:
Im not entirely sure but I believe I'm correct here.
Hello if anyone is able to answer this please do I am not sure how to figure out the answer to this?????
Question-80% as a fraction
Answer:
[tex]\frac{80}{100}[/tex]
Step-by-step explanation:
All percentages are out of 100. Therefore, 80% is equal to [tex]\frac{80}{100}[/tex]. It can also be simplified to [tex]\frac{8}{10}[/tex] or [tex]\frac{4}{5}[/tex].
...................................................
Answer:
11.21157846 =x
Step-by-step explanation:
We know log b (a) = c can be written as b^c =a
log 3 (x) = 2.2
3^2.2 = x
11.21157846 =x
Answer:
[tex]\large \boxed{\sf \bold{A.} \ x=11.21}[/tex]
Step-by-step explanation:
[tex]\large \sf log_3 (x)=2.2[/tex]
Solve this by converting the logarithmic statement into its equivalent exponential form, using the relationship:
[tex]\large \sf log_b(y)=x[/tex]
[tex]\large{\sf y=b^x}[/tex]
Apply the relationship.
[tex]\large \sf log_3 (x)=2.2[/tex]
[tex]\large \sf x=3^{2.2}[/tex]
[tex]\large \sf x=11.21157845...[/tex]
[tex]\large \sf x \approx 11.21[/tex]
Please help!
Suppose that [tex]\alpha[/tex] is inversely proportional to [tex]\beta[/tex]. If [tex]\alpha=4[/tex] when [tex]\beta=9[/tex], find [tex]\alpha[/tex] when [tex]\beta=-72[/tex]
Answer:
The answer is
[tex] \alpha = - \frac{1}{2} [/tex]Step-by-step explanation:
From the question
[tex]\alpha[/tex] is inversely proportional to [tex]\beta[/tex] is written as
[tex] \alpha = \frac{k}{ \beta } [/tex]where k is the constant of proportionality
When
[tex]\alpha[/tex] = 4[tex]\beta[/tex] = 9Substituting the values into the formula
we have
[tex]4 = \frac{k}{9} [/tex]
cross multiply
k = 4 × 9
k = 36
So the formula for the variation is
[tex] \alpha = \frac{36}{ \beta } [/tex]
when
[tex]\beta[/tex] = - 72
That's
[tex] \alpha = \frac{36}{ - 72} [/tex]
Simplify
We have the final answer as
[tex] \alpha = - \frac{ 1}{2} [/tex]Hope this helps you
Pls answer this urgently
Answer:
The pic there has a step by step explanation
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hi my lil bunny!
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
[tex]\frac{(3^-2)^2 * (5^2)^-3 * ( t ^-3)^2 }{( 3^-2) ^5 ( 5^3) ^-2 ( t ^-4)^3}[/tex]
[tex]= \frac{\frac{1}{1265625^t12} }{1}[/tex]
[tex]= \frac{\frac{1}{992640625^t6} }{1}[/tex]
[tex]= \frac{992640625^t6}{1265625}[/tex]
[tex]= \frac{922640625tttttt}{1265625}[/tex]
[tex]= 729t^6[/tex]
Answer : [tex]729t^6[/tex]
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
If this helped you, could you maybe give brainliest..?
❀*May*❀
Is this correct??? Will give Brainlyist
Which regular polygon can be used to form a tessellation?
I need help
Answer:
The regular polygon that can be used to form a regular tessellation are the equilateral triangle a square and a regular hexagon
The sum of two numbers is 52. One number is 3 times as large as the other. What are the numbers?
Answer:
13 and 39
Step-by-step explanation:
The sum of two numbers = 52
One number is 3 times as large as the other
Equation:
x + 3x = 52
4x = 52
52 / 4 = x
x = 13
13 * 3 = 39
The numbers are 13 and 39
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
I have no idea how to solve this
Answer:
9
Step-by-step explanation:
Consider the polygon to consist of 2 rectangles, rectangle X (The bigger rectangular) and Y(the smaller rectangle), as shown in the diagram attached below.
To find DE + EF, let's find each lengths as follows:
DE = BC - FA
DE = 9 - 5 = 4
EF = AB - DC
EF = 8 - DC (we don't know DC)
Let's find out DC by considering the area of the entire polygon to derive an equation that will enable us to find DC.
Area of a rectangle = L*B
Therefore:
Area of the polygon = Area of rectangle X + Area of rectangle Y
Area of Polygon = (AB*FA) + (DE*DC)
52 = (8*5) + (4*DC)
52 = 40 + (4*DC)
Subtract 40 from both sides
52 - 40 = 4*DC
12 = 4*DC
Divide both sides by 4 to make DC the subject.
12/4 = DC
3 = DC
DC = 3
Thus,
DE + EF = (BC - FA) + (AB - DC)
= (9 - 5) + (8 - 3)
= 4 + 5
= 9
The table shows the times that street lights come on one night and go off the next morning.In Glasgow, the lights go off later than they do in Newcastle. How much later?
Answer:
10 mns later
Step-by-step explanation:
Write an absolute value equation to satisfy the given solution set shown on a number line.
Answer:
Step-by-step explanation:
|x-a|≤b
-b≤x-a≤b
add a
a-b≤x≤a+b
put a-b=-8
a+b=-4
add
2a=-12
a=-12/2=-6
-6+b=-4
b=-4+6=2
so |x+6|≤2
Evaluate the function below at x=7. Then enter your solution rounded up to 2 decimal places. 1500•1.09^x
Answer:
Value of the function will be 2742.06
Step-by-step explanation:
Given function is,
f(x) = 1500(1.09)ˣ
By substituting the value of x we can find the value of the given function.
For x = 7,
f(7) = 1500(1.09)⁷
= 1500(1.828)
= 2742.0587
≈ 2742.06
Value of the function will be 2742.06
Solve the equation for all values of x.
- 2x(x − 8)(10x + 1) = 0
From deltamath.com
Answer:
x=0 x=8 x = -1/10
Step-by-step explanation:
- 2x(x − 8)(10x + 1) = 0
Using the zero product property
-2x =0 x-8 = 0 10x+1= 0
x= 0 x= 8 10x = -1
x=0 x=8 x = -1/10
Rita bought 4 CDs that were each the same price. Including sales tax, she paid a total of $ 61.60. Of that total,$ 2.80 was tax. What was the price of each CD before tax
Answer:
The price of each CD is:
$14.70
Step-by-step explanation:
(61.6 - 2.8) /4
= 58.8/4
= $14.7
Answer:
$14.70
Step-by-step explanation:
We want to find the price of each CD before tax. Therefore, we must first subtract the tax from the total.
total -tax
The total cost was $61.60 and the tax was $2.80
$61.60 - $2.80
$58.80
The price for the 4 CDs (without tax) was $58.50.
We know that each CD costs the same price and Rita bought four CDs. Therefore, we can divide the cost without tax by 4.
cost without tax / 4
The cost without tax is $58.80
$58.80 /4
$14.70
Each CD before tax costs $14.70
solve for x 15x + 6 = 10x + 21
Answer:
15x+6=10x+21
15x-10x=21-6
5x=15
divide by 5
5x/5=15/5
x=3
Answer:
x=3
Step-by-step explanation:
15x+6=10x+21
-10x
5x+6=21
-6
5x=15
divided by 5
x=3
Imagine that you have plotted many data points on an xy-plane. Your points seem to align into a clear best-fit line. Do you think this best-fit line can help you make predictions about future data? Explain your answer, and give one or more examples to support it.
It depends really. If you stay close to the present, then predicting future results isn't too bad. The further you go out, the more unpredictable things get. This is because the points may deviate from the line of best fit (aka regression line) as time wears on. Of course, it also depends on what kind of data we're working with. Some pairs of variables are naturally going to correlate very strongly together. An example would be temperature versus ice cream sales.
A best-fit line shows an association between two variables and can therefore be used to make predictions.
An example is a scatterplot attached below showing a best-fit line that depicts the association between the number of people that bath in a pool and daily temperature.
(see attachment below).
Recall:
A best-fit line is a line drawn on a scatterplot showing a trend or an association between two variables.A best-fit line can either show a weak association or a strong association.A best-fit line is often applied in various situations to make predictions based on current trend revealed.Therefore, a best-fit line shows an association between two variables and can therefore be used to make predictions.
An example is a scatterplot attached below showing a best-fit line that depicts the association between the number of people that bath in a pool and daily temperature.
(see attachment below).
Learn more here:
https://brainly.com/question/2396661
Question 12
What is the value of x in the following equation?
2/3x + 2 = 4
A rectangle has a length of 12 m and a width of 400 cm. What is the perimeter of the rectangle?
Answer:
Perimeter = 32 meters
Step-by-step explanation:
1 meter = 1m = 100 cm = 100 centimeters
400cm = 400/100 = 4 meters
Rectangle Perimeter = 2(legth + width)
= 2(12 + 4)
= 2*16
= 32 meters
If EH = 80, calculate GF.
Answer:
The length of Segment GF is 120
Step-by-step explanation:
Given that EH = 80, and AB, GF, RH, and DI are parallel lines, we have;
DC ≅ DE ≅ EF ≅ FA Given
Therefore, CI ≅ HI ≅HG ≅ GB (Triangle proportionality theorem)
From where we have;
EH/GF =CH/CG (Intercept theorem otherwise known as Thales' theorem )
CH = 2 × CI (Transitive property of equality)
Also CG = 3 × CI (Transitive property of equality)
EH/GF = 2×CI/(3×CI) = 2/3
EH/GF = 2/3
80/GF = 2/3
Therefore we have;
Segment GF = 80 × 3/2 = 120
The length of Segment GF = 120.
120 U-U
Mostly cuz i looked it up and i am not explaining it cuz i dont wanna
Find the coordinates of the midpoint of the segment given its endpoints.
3. A (5, 8 ) and B(-1,-4)
Answer:
(2, 2 )
Step-by-step explanation:
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
[ [tex]\frac{1}{2}[/tex] (x₁ + x₂ ) , [tex]\frac{1}{2}[/tex] (y₁ + y₂ ) ]
Here (x₁, y₁ ) = (A(5, 8) and (x₂, y₂ ) = B(- 1, - 4) , thus
midpoint = [ [tex]\frac{1}{2}[/tex] (5 - 1), [tex]\frac{1}{2}[/tex] (8 - 4 ) ] = (2, 2 )