Answer:
circumference of the cake board = 109.9 cm
Step-by-step explanation:
diameter of cake = 30cm
diameter of cake board = 5cm longer than 30cm = 5 + 30 = 35cm
radius cake board = diameter ÷ 2 = 35 ÷ 2 = 17.5 cm
radius of cake board = 17.5 cm
circumference of a circle = 2 × π × r (where π = 3.14)
circumference of a circle = 2 × 3.14 × 17.5 = 109.9 cm
Therefore the circumference of the cake board = 109.9 cm
Answer:
35pi
Step-by-step explanation:
brainliest maybe?
PLEASE HELP!
Evaluate the expression 5(7 − 4)2 ÷ 3 + 11.
Answer:
26
Step-by-step explanation:
5(7 − 4)^2 ÷ 3 + 11.
PEMDAS says parentheses first
5(3)^2 ÷ 3 + 11.
Then exponents
5 (9)÷ 3 + 11.
Multiply and divide from left to right
45 ÷ 3 + 11
15 +11
26
Consider the following system.
y = 4x - 1
y = -3x + 6
Find the solution by using substitution.
HINT: Equal them to each other, solve for x. Then plug in x to one equation to find y.
Answer:
x=1 y=3
Step-by-step explanation:
y = 4x - 1
y = -3x + 6
Set the two equations to each other
4x - 1 = -3x + 6
Add 3x to each side
4x +3x - 1 = -3x+3x + 6
7x-1 =6
Add 1 to each side
7x-1+1 = 6+1
7x= 7
Divide each side by 7
7x/7 = 7/7
x=1
Now we can find y
y = 4x-1
y = 4(1)-1
y = 3
You have 4 yards of ribbon. You need to wrap 6 equal sized boxes with the ribbon. How many feet of ribbon can you use on each box?
Answer:
24
Step-by-step explanation:
1 yard=36 inches
36x4=144
144/6=24
Use the Trapezoidal Rule with n = 4 to approximate
0.3523
0.7048
0.2456
0.4913
Answer:
0.7048
Step-by-step explanation:
∫₂⁴ 1 / (x − 1)² dx
n = 4, so we divide the interval into 4 regions. The width of the regions is:
(4 − 2) / 4 = 0.5
So the intervals are (2, 2.5), (2.5, 3), (3, 3.5) and (3.5, 4).
Evaluate f(x) at the ends of each interval.
f(2) = 1
f(2.5) = 4/9
f(3) = 1/4
f(3.5) = 4/25
f(4) = 1/9
Find the area of each trapezoid:
A₁ = ½ (2.5 − 2) (1 + 4/9) = 13/36
A₂ = ½ (3 − 2.5) (4/9 + 1/4) = 25/144
A₃ = ½ (3.5 − 3) (1/4 + 4/25) = 41/400
A₄ = ½ (4 − 3.5) (4/25 + 1/9) = 61/900
So the total approximate area is:
A = 0.705
Closest answer is 0.7048.
The value of expression is,
⇒ 0.7048
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
⇒ ∫₂⁴ 1 / (x − 1)² dx
Now, For n = 4, we divide the interval into 4 regions.
Hence, The width of the regions is:
= (4 − 2) / 4
= 0.5
Thus, the intervals are,
⇒ (2, 2.5), (2.5, 3), (3, 3.5) and (3.5, 4).
Thus, We can evaluate f(x) at the ends of each interval as,
f(2) = 1
f(2.5) = 4/9
f(3) = 1/4
f(3.5) = 4/25
f(4) = 1/9
Hence, the area of each trapezoid are,
A₁ = 1/2 (2.5 − 2) (1 + 4/9) = 13/36
A₂ = 1/2 (3 − 2.5) (4/9 + 1/4) = 25/144
A₃ = 1/2 (3.5 − 3) (1/4 + 4/25) = 41/400
A₄ = 1/2 (4 − 3.5) (4/25 + 1/9) = 61/900
Therefore, the total approximate area is:
A = A₁ + A₂ + A₃ + A₄
A = 0.7048
Learn more about the mathematical expression visit:
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Michael was asked to give examples of the identity property of addition and the identity property of multiplication. Below are his answers.
Identity property of addition: 8 + 1 = 8
Identity property of multiplication: 8(0) = 0
What was Michael’s mistake?
He should have added 0 to 8 and multiplied 1 by 8.
He should have 8 + 1 = 9.
He should have 8(0) = 8.
He should have distributed the 8.
Answer:
He should have added 0 to 8 and multiplied 1 by 8
Step-by-step explanation:
Michael should have added 0 to 8 and multiplied 1 by 8.
What is multiplication?Multiplication is the process of adding a number up to a given number.
The identity property of addition is 0 and the identity property of multiplication is 1.
Therefore, Michael should have added 0 to 8 and multiplied 1 by 8.
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If (A:20:4:16) is a proportion the find out the value of A fastly
Answer: A = 5
Step-by-step explanation:
I'll rewrite this as fractions.
[tex]\frac{A}{20}=\frac{4}{16}[/tex]
Solve for A,
[tex]A=\frac{20*4}{16}\\ A=\frac{80}{16}[/tex]
[tex]A=5[/tex]
A square can also be classified as which of the following?
rhombus
rectangle
parallelogram
trapezoid
quadrilateral
Thanks gamers
Answer:
Step-by-step explanation:
A square is a rhombus, rectangle, parallelogram, and quadrilateral. So basically it is everything accept for a trapezoid. It has all equivalent sides so it is a rhombus. It has all right angles so it is a rectangle, it has four sides so it is a quadrilateral, and opposite sides are equal so it is a parallelogram. Hope it help's! ;)A necklace found at a pawn shop is 192 grams and has a volume of 19.5 cubic centimetres. What metal is the necklace made of?
Answer:
Bronze
Step-by-step explanation:
To know the metal used to produce necklace, we must calculate the density of the necklace. This is illustrated below below:
Mass of necklace = 192g
Volume = 19.5cm^3
Density =...?
Density of a substance is simply defined as the mass of the substance per unit volume.
Density = Mass /volume
Density = 192g / 19.5cm^3
Density = 9.85g/cm^3
Now comparing the density of the necklace with the density of various metals in the table, we can see that the density of the necklace matches that of bronze.
Therefore, the necklace is made of bronze.
A bag contains four red marbles, nine green marbles, four blue marbles, and three yellow marbles. If Lisa draws a random marble
from the bag, what is the probability that it will be a red, green, or blue marble?
Answer:
The answer is 17/20
Step-by-step explanation:
idk
Answer (*shrugs*):
Red = 1/5
Green = 9/20
Blue = 1/5
Tamika’s math test scores (out of 30) are 25, 28, 26, 25, 8, 29, 28, 24, 23.
a)What is the outlier in this set?
b) Why might Tamika’s teacher decide to remove this outlier when calculating the average for her report card?
c) Which average is affected more by the removal of the outlier, the mean or median? Justify your answer.
I WILL GIVE BRAINLIEST IF YOU ANSWER ALL THE 3 QUESTIONS GOOD.
Answers:
A.) 8 is the outlier in the set. It is the only number that doesn't match with the others. It is the furthest from the median of the numbers.
B.) The outlier could represent false information. It could greatly drop the number of the mean, or the average, range of the scores.
C.) The mean is affected more. The mean of a set of numbers is the average of the set. The median just locates the middle-most number. The median would not always give an accurate representation of the average of the set like the mean would.
This net will be folded to form a prism. A net of a rectangular prism. From top to bottom, the rectangles are labeled B, D, E, F. The left side is labeled A and the right side is labeled C. Which pairs of faces will be opposite one another when the prism is created? Check all that apply. D and F A and C A and B B and F B and E B and C E and F A and F
Answer:
D and F
A and C
B and E
Step-by-step explanation:
due to the fact that it is a rectangle prism, and the A is on the left and C is on the right, the other alphabet B,D,E F is straight down, you have to fold the d and f first, then A and C and lastly B and E to form the prism
Answer:
a,b,e
Step-by-step explanation:
Use properties of operations to write two expressions that are equivalent
to 3/4n + (8 + 1/3z).
Answer:
(9z+96nz+4n)/12nz
Step-by-step explanation:
3/4n + 8+ 1/3z. distributive property
The required equivalent expression is [9z + 96nz + 4n] / 12nz and the property used is distributive property.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
= 3/4n + (8 + 1/3z)
Using the distributive property for the association,
= 3/4n + 8 / 1 + 1/3z
= [9z + 96nz + 4n] / 12nz
Thus, the required equivalent expression is [9z + 96nz + 4n] / 12nz, and the property used is the distributive property.
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Formula for a area of a circle
Answer:
A=(pie) r^2
Step-by-step explanation:
A = Area
(pie) = 3.14
r^2 = (r is the radius)
Answer:
pi r^2
Step-by-step explanation:
That is your answer
pls help it will mean alot!!
due rn!!
Answer:
f(x) = 4^x
f(4) = 4^4 = 256
Hope this helps!
:)
the answer is 256 but i am not sure
hope this helps and be safe :)
Mr. Anderson has 4 recipes for granola. Which recipe has the greatest ratio of honey to oats?
Answer:
Recipe 3 has the greatest honey to oats ratio amongst the 4 recipes.
Step-by-step explanation:
Complete Question
Mr. Anderson has 4 recipes for granola. Recipe 1
A 2-column table with 3 rows is titled Recipe 1. Column 1 is labeled Honey (tablespoons) with entries 5, 10, 15. Column 2 is labeled Oats (cups) with entries 2, 4, 6.
Recipe 2
A 2-column table with 3 rows is titled Recipe 2. Column 1 is labeled Honey (tablespoons) with entries 6, 10, 14. Column 2 is labeled Oats (cups) with entries 3, 5, 7.
Recipe 3
A 2-column table with 3 rows is titled Recipe 3. Column 1 is labeled Honey (tablespoons) with entries 3, 6, 9. Column 2 is labeled Oats (cups) with entries 1, 2, 3.
Recipe 4
A 2-column table with 3 rows is titled Recipe 1. Column 1 is labeled Honey (tablespoons) with entries 8, 10, 12. Column 2 is labeled Oats (cups) with entries 4, 5, 6.
Which recipe has the greatest ratio of honey to oats?
Solution
Computing the ratio of honey to oats for each of recipes
Recipe 1
Honey | 5 | 10 | 15
Oats | 2 | 4 | 6
Honey to Oats ratio = (5/2) = (10/4) = (15/6) = 2.5 to 1.
Recipe 2
Honey | 6 | 10 | 14
Oats | 3 | 5 | 7
Honey to Oats ratio = (6/3) = (10/5) = (14/7) = 2 to 1.
Recipe 3
Honey | 3 | 6 | 9
Oats | 1 | 2 | 3
Honey to Oats ratio = (3/1) = (6/2) = (9/3) = 3 to 1.
Recipe 4
Honey | 8 | 10 | 12
Oats | 4 | 5 | 6
Honey to Oats ratio = (8/4) = (10/5) = (12/6) = 2 to 1.
Recipe 3 evidently has the greatest honey to oats ratio amongst the 4 recipes.
Hope this Helps!!!
Answer: Recipe 3
Step-by-step explanation:
Which of the following is true of the values of x and y in the diagram below? A unit circle is shown. A radius with length 1 forms angle theta = StartFraction pi Over 4 EndFraction. The radius intersects point (x, y) on the unit circle. y < x y > x y + x = 1 StartFraction y Over x EndFraction = 1
Answer:
y/x = 1 got it right on edg
Step-by-step explanation:
Answer:
y/x = 1 on E2020
Step-by-step explanation:
Have a Great Day :)
Exponential Growth and Decay The expressions below represent either exponential growth or exponential decay. Check all the expressions that represent exponential decay. 5x 3(0.75)2t 35(2.4)x 5000(1.04)3t 0.05x 500(0.005)t
Answer:
First one: 5x3(0.75)2t
and fourth one: 0.05x500(0.005)t
Step-by-step explanation:
In order to have an exponencial decay, the rate of the exponencial function needs to be lesser than 1.
The rate is the value between parenthesis, so in the first equation, the rate is 0.75, so this is an exponencial decay.
The second equation has rate = 2.4, so this is not an exponencial decay.
The third equation has rate = 1.04, so this is not an exponencial decay.
The fourth equation has rate = 0.005, so this is an exponencial decay.
Answer:
It's A,C,F
Step-by-step explanation:
I answered it :) and got it right.
2х + 5y = 6
x+2y = -3
what is x?
Answer:
x = -3
In-Depth Steps:
1.) Start with the bottom equation: [tex]x+2y=-3[/tex]
2.) Set [tex]x[/tex] alone on one side of the equal sign. Your equation will look like [tex]3+2y=x[/tex].
3.) Plug [tex]3+2y[/tex] in for [tex]x[/tex] in the first equation. You will get [tex]2(3+2y)+5y=6[/tex].
4.) Distribute. Your equation now looks like this: [tex](6+4y)+5y=6[/tex].
5.) Combine like terms. You will get [tex]6+9y=6[/tex].
6.) Subtract 6 from both sides. You get [tex]9y=0[/tex]. We can learn that Y=0.
7.) Go back to either equation and put 0 in for y.
8.) In the top equation, it would look like [tex]2x=6[/tex] and the bottom equation would look like [tex]x=-3[/tex]. We basically got our answer of [tex]x = -3[/tex], but we will plug it into the [tex]2x=6[/tex] equation, and in-fact, we get x = -3.
Can someone please help me with this?
Answer:
Step-by-step explanation:
find the proportion and solve for the volume.
What amount to the nearest cent will an account have after 6 years is $175 is invested at 8% interest compounded continuously
Answer:
$281.02
Step-by-step explanation:
P=$175
r=8%=0.08
t=6 years
n=12
A=p(1+r/n)^nt
=175(1+0.08/12)^12×6
=175(1+0.0066)^72
=175(1.0066)^72
=175(1.6058)
=$281.015
Approximately $281.02
36 + 1.80 + 2.16 I'm stuck
Answer:
39.96 should be the right answer
Answer: 39.96
Step-by-step explanation:
36+1.80=37.80
Then you add 2.16
37.80+2.16=39.96
Two different sports teams are doing fundraising to be able to afford their uniforms. The softball team needs to raise $318.12 between the twelve girls on the team. The hockey team needs to raise $391.92 between the 24 boys on the team. If each player raises the same amount of money, does each softball player or hockey player needs to raise more? How can estimation help you solve?
Answer:
The softball team needs to raise more money per person.
Step-by-step explanation:
To calculate what you need in each team you have to divide the money you need by the number of players in each team, because each one contributes an equal amount.
The softball team needs to raise $ 318.12 between the twelve girls on the team:
318.12 / 12 = 26.51
$ 26.51 each girl needs to contribute
The hockey team needs to raise $ 391.92 between the 24 boys on the team
391.92 / 24 = 16.33
$ 16.33 each boy needs to contribute
Therefore, the softball team needs to raise more money per person.
Find the volume of this figure.
12 m
6 m
6m
Answer:
432
Step-by-step explanation:
To get volume you need to multiply all of the numbers together (Length, height, and width). You need to multiply 6 and 6 (You get 36) and multply the answer by 12 to get 432.
Hope this helps!
(Also can I get Brainliest? Please?)
Which relation is a function?
Answer:
A.
Step-by-step explanation:
You can tell if it has a function or not by the x-axis/domain. It does not matter if the y-axis/range has the same number, but if the x-axis has the same number then that would not be a function. Hope this helps!
Convert 4.5 x 10
to a normal number
Step-by-step explanation:
4.5 × 10
= 45
this is the answer
Betsy made a cake for Josie's birthday party. After the party, y of the cake was left.
Later that afternoon, Betsy ate another 2 of the cake. Then, that evening, Josie ate
another 112 of the cake. How much of the cake was eaten in all? Show
your
work.
Answer:
!!4
Step-by-step explanation:
according to my calculation it is 114
A ladder that is 21 feet long is propped against a building. The bottom of the ladder was placed 4 feet from the base of the building. How high up on the building does the ladder reach? Round the answer to the nearest tenth of a foot.
4.1 feet
17.0 feet
20.6 feet
21.4 feet
Answer:20.6
Step-by-step explanation:
20.6
Answer:
C) 20.6
Step-by-step explanation:
just took the test
At 94°F, a certain insect chirps at a rate of 60 times per minute, and at 96°F, they chirp 66 times per minute. Write an equation in slope-intercept form that represents the situation.
Answer:
[tex] (x_1 = 94 , y_1 = 60)[/tex]
[tex] (x_2 =96 ,y_2 = 66)[/tex]
And we can estimate the slope with the following formula:
[tex] m =\frac{y_2 -y_1}{x_2 -x_1}= \frac{66-60}{96-94}=3[/tex]
And we can find the intercept using the first point given for example:
[tex] 60 = 3*94 +b[/tex]
And solving for b we got:
[tex] b = 60 -282 = -222[/tex]
And the model would be given by:
[tex] y = 3x -222[/tex]
Step-by-step explanation:
For this case we can assume that the interest is find an equation for the times per minute with the temperature. So then the independent variable (x) would be the temperature and the dependent (y) the times per minute. We want to adjust a linera model like this one:
[tex] y = mx +b[/tex]
We have the following info given:
[tex] (x_1 = 94 , y_1 = 60)[/tex]
[tex] (x_2 =96 ,y_2 = 66)[/tex]
And we can estimate the slope with the following formula:
[tex] m =\frac{y_2 -y_1}{x_2 -x_1}= \frac{66-60}{96-94}=3[/tex]
And we can find the intercept using the first point given for example:
[tex] 60 = 3*94 +b[/tex]
And solving for b we got:
[tex] b = 60 -282 = -222[/tex]
And the model would be given by:
[tex] y = 3x -222[/tex]
Answer:
Step-by-step explanation:
Let " x " denotes the temperature in degree Fahrenheit .
Let " y " denotes the chirp rate per minute .
We have given that at 94 degree Fahrenheit , chirp rate is 64 times per minute and at 96 degree Fahrenheit , it is 118 times per minute .
We write this information in coordinate form ( x,y) .
We have ( x₁ ,y₁) = ( 94 , 60 ) and ( x₂ , y₂) = ( 96,66) .
y₂ - y ₁ 66 - 60 6
Slope , m = ---------------------- = --------------------- = -----------
x₂ - x₁ 96 - 94 2
Slope , m = 6/2 = 3 .
Equation of line in slope intercept form is
y = m x + b where ' m' is slope and ' b ' is intercept .
Plug value of m , we get
y = 3 x + b .
To find value of b , we put ( 94 , 60 ) in place of x and y .
Put x = 94 and y = 60 , we get
60 = 3 * 94 + b
60 = 282 + b
60 - 282 = b
- 222 = b
Thus we get b = - 222 .
So the equation become
y = 3 x - 222 .
Equation in slope intercept form representing the situation isy = 3 x - 222How do you tell if two samples have the same mean and MAD as each other WITHOUT CALCULATING. I’m attaching a pic.
Answer:
Look below.
Step-by-step explanation:
I mean I can tell because set B is literally just +20 from Set A
The temperature during a winter day was less than 8 degrees Fahrenheit. Digby wants to write an any quality for the temperature during the winter day. What constant should Digby use in the inequality?
Answer:
8
Step-by-step explanation:
y < mx+c
here y will be the temperature on any particular winter day, x will be the variable on whixh temperature is dependent and m will be the gradient.
The temperature must always be less than 8 so c will be 8.
y < 8
8 should be the maximum value of the inequaltiy
Answer:
your anwser is 8
Step-by-step explanation:
