The area of the face of a nickel 353.14 [tex]mm^{2}[/tex] (nearest hundredth)
What is Area of Circle?The area of a circle is the amount of space enclosed within the boundary of a circle. The region within the boundary of the circle is the area occupied by the circle.
As the surface of nickel is in shape of 2-D circle.
radius of circle = [tex]\frac{21.21}{2}[/tex] = 10.605 mm
Area of circle= [tex]\pi r^{2}[/tex]
= 3.14* 21.21*21.21
= 353.143 [tex]mm^{2}[/tex]
= 353.14 [tex]mm^{2}[/tex] (nearest hundredth)
Thus, the area of the face of a nickel 353.14 [tex]mm^{2}[/tex] (nearest hundredth)
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The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 5 to 8 . If there were 7761 total votes, how many yes votes were there?
Answer:
2,985 yes votes
Step-by-step explanation:
Ratio of yes votes to no votes was 5 to 8, we can write the following equation:
Yes : no : total = 5 : 8 : 13
Knowing the total votes was 7,761, thus the number of yes votes = (5/13) * 7,761 = 2,985 votes.
Work out the sheet given
Answer:
red colour is 7...blue is 3 ...green 9...yellow 13...purple 8
PLEASE HELP ME HOW TO DO THIS
Step-by-step explanation:
Area: Length X width
Perimeter: Add all sides
Which of the following is a quadratic equation that has the roots x = 2 and x = −7? (4 points)
Answer:
x^2 + 5x - 14
Step-by-step explanation:
We can assume that if there is 2 options for x, this is a quadratic equation that equals 0.
Therefore, we can put this into brackets as one bracket must equal 0.
(x - 2) (x + 7)
After this we expand, which is a process easier to search up
The answer is:
x^2 + 7x - 2x - 14
We can simplify this to:
x^2 + 5x - 14
x^2 represents x squared in case you were wondering
Therefore, the answer is:
x^2 + 5x - 14
75 points Dilations of Segments and Angles
CD is dilated by a scale factor of 3/4 to form C ′ D ′ . CD measures 2. What is the measure of C ′ D ′ ?
Answer
0.823742
Step-by-step explanation:
just a genius
A box of chocolates contains 18 chocolate squares. 10 of the squares are milk chocolate. 5 are dark chocolate and 3 are white chocolate if christina randomly chooses a chocolate out of the box, what is the probability of her choosing a white chocolate square
Answer:
Either %16.67 or %17 if rounded
Step-by-step explanation:.
An easy way to do this is convert the probability from a fraction into a percent. We can do this by taking the total number of chocolate squares (18) and using this as a denominator. Then take the number of white chocolate squares (3) and using this as our numerator. This give us a fraction of 3/18. Now to turn this into a percent, we need to find what you need to multiply 18 by to get 100. We can do this easily by deviding 100 by 18. This is a long decimal so i'll keep it in fraction form (100/18). Now you just have to multiply 3 by (100/18). This is about 16.67. If the answers are rounded it will be 17%.
A survey of 300 farmers in Missouri found that 111 favor the Republican candidate for governor. Construct the 95% confidence interval for the true population proportion of all farmers in Missouri who favor the Republican candidate.
a) 0.280 < p < 0.460
b) 0.324 < p < 0.416
c) 0.368 < p < 0.372
d) 0.315 < p < 0.425
Answer:
b) 0.324 < p < 0.416
Step-by-step explanation:
b) 0.324 < p < 0.416
Which is an advantage of using an ATM as opposed to a bank teller? Select all that apply.
24-hour access
greater number of locations
faster transactions
personal interactions
more types of services
Mike is working on solving the exponential equation 37x = 12; however, he is not quite sure where to start. Using complete sentences, describe to Mike how to solve this equation.
Use the change of base formula: log base b of y equals log y over log b.
[tex]~~~~~37^x = 12\\\\\implies \ln\left( 37^x \right) = \ln(12)\\\\\implies x \ln (37) = \ln(12)\\\\\implies x = \dfrac{\ln(12)}{\ln(37)}\\\\\implies x \approx 0.689[/tex]
The following table gives the statements and justifications for solving the equation 4(x - 7) + 14 =
3x - 9.
Which of the following gives the justification steps in the correct order?
Answer:
From top to bottom:
Simplify
Combine like terms
Subtract 3x from both sides
Add 14 on both sides
Step-by-step explanation:
Hope this helps
Which choice is equivalent to the expression below? Use the FOIL method.
(√x-2)(√x + 3)
A) x-6
B) x+√x +6
C) x-√x -6
D) x+√x-6
Answer:
D) x + √x - 6.
Step-by-step explanation:
(√x-2)(√x + 3)
= √x*√x + 3*√x - 2*√x - 2*3
= x + √x - 6.
based on a survey of 425 master’s programs in business administration, the u. s. news & world report ranked the indiana university kelley business school as the 20th best business program in the country (america’s best graduate schools, 2009). the ranking was based in part on surveys of business school deans and corporate recruiters. each survey respondent was asked to rate the overall academic quality of the master’s program on a scale from 1 “marginal” to 5 “outstanding.” use the sample of responses shown below to compute the weighted mean score for the business school deans and the corporate recruiters. discuss.quality business school corporate assessment deans recruiters 5 44 31 4 66 34 3 60 43 2 10 12 1 0 0
The deans have a higher weighted mean score for business schools which is 3.8.
What is weighed mean?The weighted arithmetic mean is similar to the conventional arithmetic mean in that certain data points contribute more than others to the final average.
Weighed mean = (weightage x parameter)/no of parameters
The Weighted mean score for deans
= [(5×44)+(4×66)+(3×60)+(2×10)]/(44+66+60+10)
= 684/180
= 3.8
The Mean weigted score of recruiters
= [(5×31)+(4×34)+(3×43)+(2×12)]/(31+34+43+12)
= 444/120
= 3.7
Hence, The deans have a higher weighted mean score for business schools which is 3.8.
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pls help with the question in the picture asap
The measure of DE is triangle ABE is similar to ACD is 9units
Similarity theorem of triangleFor triangles to be similar, the ratio of their sides must be equal to the constant called he scale factor.
From the given diagram;
AB/AE = AC/AD
20/15 = 32/15 + DE
Solve for DE
4/3 = 32/15+DE
4(15+DE) = 3(32)
15+DE = 3(8)
DE = 24 - 15
DE = 9
Hence the measure of DE is triangle ABE is similar to ACD is 9units
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How does the graph of g(x) = (x − 2)^3 + 6 compare to the parent function of f(x) = x^3?
g(x) is shifted 2 units to the right and 6 units down.
g(x) is shifted 2 units to the right and 6 units up.
g(x) is shifted 2 units to the left and 6 units down.
g(x) is shifted 6 units to the left and 2 units down.
The transformation to the parent function f(x) from g(x) is (b) g(x) is shifted 2 units to the right and 6 units up
How to compare the graphs?The equations are given as:
f(x) = x^3
g(x) = (x - 2)^3 + 6
The function g(x) can be rewritten as:
g(x) = (x - h)^3 + k
This means that the function f(x) is shifted right by h units and shifted up by k units.
By comparison:
h = 2 and k = 6
Hence, the transformation to the parent function f(x) from g(x) is (b) g(x) is shifted 2 units to the right and 6 units up
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Five workers together can build a road in 20 days. Suppose every worker works at the same rate. Three workers work on the road for 10 days before eleven more workers join them. How much longer will it take the fourteen workers to finish the road?
Answer:
5 days
Step-by-step explanation:
This problem is an inverse proportion case. Having two variables: number of workers and time (in days); when we increase the number of workers, the time needed decreases; vice versa. Therefore, we can use the multiplication method: (workers * time) will always stay constant.
Let's say the time (in days) needed by the eleven workers is t,
5*20 = (3*10) + (14*t)
100 = 30+14t
70 = 14t
5 = t
It will take the eleven-workers 5 more days to finish the road.
Harold bought an 8 pound bag of birdseed to use in his bird feeder. How many
ounces is this?
Answer:
Your answer is 128 oz
Step-by-step explanation:
1 Ounce = 0.0625 Pounds
pounds cancel and leave oz.
8 lb * 1 oz / 0.0625 lb = 128 oz
Answer:
128 oz
Step-by-step explanation:
1 lb = 16 oz
8 lb × 16
= 128 oz
A nickel is selected at random out of a bag containing 15 pennies, 10 nickels, and 15 dimes. What is the probability of the complement of the event? Express your answer as a fraction in simplest form.
The probability of the complement of the event is 3/4 if the nickel is selected at random out of a bag containing 15 pennies, 10 nickels, and 15 dimes.
What is probability?It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
Total number of contains in the bag = 15+10+15 = 40
Total number of nickel = 10
The probability of getting the nickel = 10/40 = 1/4
The complement of the probability:
P' = 1 – 1/4
P' = 3/4
Thus, the probability of the complement of the event is 3/4 if the nickel is selected at random out of a bag containing 15 pennies, 10 nickels, and 15 dimes.
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shawn is shoppping for a rug for his dinning room. the rectangular sug he likes measures 5 feat by 7 feet. what is the area of the rug?
Answer:
35 square feet
Step-by-step explanation:
Area of the rug :
Length x width7 x 535 square feetAntonia bought a set of dishes, a towel, and a candle at a housewares store. The set of dishes cost $35.66, the towel cost $21.56,
and the candle cost $9.02 before any coupons or discounts.
She used a $0.50-off coupon on the candle, a $2.75-off coupon on the towel, and the set of dishes was on sale for 10% off the regular price. Which of the following best describes the amounts that Antonia saved?
A. She saved the greatest percentage on the towel.
B. She saved the greatest percentage on the candle.
C. She saved the same percentage on the towel and the set of dishes.
D. She saved the greatest percentage on the set of dishes.
The sales tax in some places in Texas is 8.25%. Which function
represents the cost of purchasing x dollars of products, including tax?
Taxes usually increase how much you pay from the purchase price. To find the tax charged on the purchase, multiply the tax rate by the purchase.
$28.38 × 0.0825 = $2.34
The tax charged is $2.34
Hellppp Im DYING TO KNOW THE ANSWER RNN-
find the area of a square whose perimeter is 840m
Answer:
Area of square = 44,100 m²Step-by-step explanation:
Given :-
Perimeter of square = 840 cmTo find :-
Area of sqaureSolution :-
The find area of sqaure firstly we need to find the length of each side of the sqaure.
We know that,
Perimeter of rectangle = 4 × side
→ 840 = 4 × side
→ 840/4 = side
→ 210 m = side
Side of square is 210 m→ Area of rectangle = (Side)²
→ Area = (210)²
→ Area = 44,100 m²
Hence, Area of the square is 44,100 m²Hey ! there
Answer:
Area of square is 44100 m² .Step-by-step explanation:
In this question we are provided with a square having perimeter of square 840 m . And we are asked to find the area of square .
For finding area of square we need to find the side of square . So , we are finding the side of square by assuming it as " x " metres and then equating it with given perimeter that is 840 m .
We know that ,
[tex] \qquad \quad \underline{\boxed{\frak{Perimeter_{(Square)} = 4 \times Side }}}[/tex]
SOLUTION : -
✼ Finding Side ,
Substituting value of side as x in formula and equating it with 840 :
[tex] \quad \longmapsto \qquad \: 4 \times x = 840[/tex]
or ,
[tex] \quad \longmapsto \qquad \:4x = 840[/tex]
Dividing with 4 on both sides :
[tex] \quad \longmapsto \qquad \: \dfrac{ \cancel{4}x}{ \cancel{4}} = \cancel{ \dfrac{840}{4} }[/tex]
We get ,
[tex] \quad \longmapsto \qquad \: \underline{\boxed{\frak{x= 210 \: m}}}[/tex]
Therefore , SIDE of square is " 210 " metres .
✼ Finding Area ,
We know that ,
[tex] \: \qquad \: \qquad \: \underline{\boxed{\frak{Area_{(Square)} = Side {}^{2} }}}[/tex]
Now , substituting value of side as 210 in formula :
[tex] \quad \dashrightarrow \qquad \: (210) {}^{2} [/tex]
or ,
[tex] \quad \dashrightarrow \qquad \:210 \times 210[/tex]
Multiplying 210 two times , We get :
[tex] \quad \dashrightarrow \qquad \:\blue{\underline{\boxed{\frak{44100 \: m {}^{2} }}}} \quad \bigstar[/tex]
Henceforth , AREA of square having perimeter 840 m is ❝ 44100 square metres ❞
#Keep LearningFind the distance between the following sets of points: a. (2, −4) and (2, 3) b. (−3, −2) and (−3, 0) c. (1, 4) and (−5, 4) d. (−2, 0) and (−3, 0) e. (4, −6) and (4, −2) f. (5, 1) and (1, 1)
Answer:
Step-by-step explanation:
Distance between set of points parallel to x-axis and y-axis.a) (2,-4) and (2 , 3)
In these two points the x-coordinate are same. So, the distance between the points are given by the absolute value of difference between the y-coordinate.
Distance = I -4-3 I = I -7I = 7 units
b) (-3,-2) and (-3,0)
In these two points the y-coordinate are same. So, the distance between the points are given by the absolute value of difference between the x-coordinate.
Distance = I-2 -0 I = I -2 I = 2 units
c) (1,4) and (-5,4)
In these two points the y-coordinate are same. So, the distance between the points are given by the absolute value of difference between the x-coordinate.
Distance = I 1 - (-5) I = I 1 + 5 I = I 6 I = 6
d) (-2,0) and (-3,0)
In these two points the y-coordinate are same. So, the distance between the points are given by the absolute value of difference between the x-coordinate.
Distance = I -2 - (-3) I = I -2 + 3 I = I 1 I = 1 unit
e) (4,-6) and (4,-2)
In these two points the x-coordinate are same. So, the distance between the points are given by the absolute value of difference between the y-coordinate.
Distance = I -6 - (-2) I = I -6 + 2 I = I-4 I = 4 units
f) (5,1) and (1 , 1)
In these two points the y-coordinate are same. So, the distance between the points are given by the absolute value of difference between the x-coordinate.
Distance= I5 - 1 I = I 4 I = 4 units
1. What is the volume of the cone? (Use 3.14 for *)
904.8 cubic feet
226.2 cubic feet
75.4 cubic feet
301.6 cubic feet
Answer:
C) 75.36 cubic feet
Step-by-step explanation:
Volume of a cone: ⅓hπr²
Given:
r (radius) = 3 fth (height) = 8 ftπ ≈ 3.14Substitute the given values to find the volume:
V = (⅓)(8)(3.14)(3)²
V = (⅓)(8)(3.14)(9)
V = (⅓)(226.08)
V = 75.4 ft³ (nearest tenth)
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URGENT!!! NEED BY 11:59 EDT time!!!!!!!!!!!!!!!!!!!!!! WORTH 100 POINTS WITH CORRECT ANSWER AND EXPLANATION
Karen has 3 different INTEGER test grades (from a teacher that NEVER gives bonus questions or extra credit) that are all B+ and says that it doesn’t matter how high a grade she gets on the last test of the term because she’ll still only end up with no higher than a B+ test average. What is the SMALLEST score that proves her wrong?
Usual gradation standards
90+—≥ A+80-90—>A70-80—»B+60-70—»B50-60—⟩C+40-50—»C30-40—»D<30—≥Fail (F)So inorder to make her wrong we need something less than B+ I e <70
Smallest score is 0 largest score is 70 .
SOMEONE PLEASE HELP WILL MARK BRAINLIEST
Answer:
73.40°
Given a right angle triangle.
Solve the missing angle using cosine rule.
[tex]\sf cos(x) = \dfrac{adjacent}{hypotenuse}[/tex]
Here given:
adjacent: 2
hypotenuse: 7
angle: x
Solve:
[tex]\rightarrow \sf cos(x) = \dfrac{2}{7}[/tex]
[tex]\rightarrow \sf x = cos^{-1}(\dfrac{2}{7})[/tex]
[tex]\rightarrow \sf x =73 .40^ \circ \:[/tex]
Convert -4x+2y=16 to slope intercept form simplify your answer
[tex]\text{Slope-intercept form is y=mx+c, where m is the slope and c is the y-intercept.}\\ \\~~~~~-4x+2y = 16\\\\\implies 2y = 16+4x\\\\\implies y = \dfrac 12(16+4x)\\\\\implies y = 8 + 2x\\\\\implies y=2x +8\\\\\text{It is now in the slope-intercept form.}[/tex]
How do you write 415,000 in scientific notation
Answer:
4.15×10⁵
10⁵=100,000
4.15×100,000=415,000
Answer:
4.15 * 10^5.
Step-by-step explanation:
There are 5 digits after the initial digit(4).
So it is:
4.15 * 10^5
I need help asap I'm not good at math and this makes no sense
Answer:
Total Volume grain elevator holds - 20357.52
Volume needed for 100-acre field - This is all you need to find. If the volume is more than what the grain elevator can hold than there will need to be a rented one as well. If the volume of the grain is lower than what the grain elevator holds, than that's all you need.
Step-by-step explanation:
You have to find how much volume you would need to hold harvest from a 100-acre field.
Then you have to find how much volume is in the grain elevator.
In order to find the volume of the grain elevator you have to divide it up by the cylinder and the cone.
Cone volume - V=πr^2(h/3)
V=2035.75
Cylinder volume - V=πr^2h
V=18321.77
WILL MARK BRAINLIEST
Graph the following exponential function. Show work in how you find the y intercept, talk about the end behavior, and state if it is a growth or decay function.
I already did the graph
y=1/2(0.25)^0-1. +2
y=1/2(0.25)^-1 +2
y=1/2*4+2
y=2+2
y=4
Step-by-step explanation:
set x to 0 to find y intercept
Find some points
y=1/2(0.25)^{x-1}+2x=1
y=1/2+2=5/2=2.5x=2
y=0.25/2+2y=0.125+2y=2.125As you did the graph already so I haven't attached it .
The Y intercept
Put x=0
y=1/2(0.25)^{-1}+2y=1/0.5+2y=2+2y=4Y intercept is 4