area and percent .
Answer:
a. 61.92 in²
b. 21.396 ≈ 21.4%
c. $4.71
Step-by-step explanation:
a. Amount of waste = area of rectangular piece of stock - area of two identical circles cut out
Area of rectangular piece of stock = 24 in × 12 in = 288 in²
Area of the two circles = 2(πr²)
Use 3.14 as π
radius = ½*12 = 6
Area of two circles = 2(3.14*6²) = 226.08 in²
Amount of waste = 288 - 226.08 = 61.92 in²
b. % of the original stock wasted = amount of waste ÷ original stock × 100
= 61.92/288 × 100 = 6,162/288 = 21.396 ≈ 21.4%
c. 288 in² of the piece of stock costs $12.00,
Each cut-out circle of 113.04 in² (226.08/2) will cost = (12*113.04)/288
= 1,356.48/288 = $4.71.
If the discriminant of a quadratic equation is equal to Negative 8, which statement describes the roots?
There are two complex roots.
There are two real roots.
There is one real root.
There is one complex root.
Answer:
A. There are two complex roots
Step-by-step explanation:
Just took the test
If the discriminant of a quadratic equation is equal to Negative 8, there are two complex roots.
Discriminant of quadratic equationThe discriminant of a quadratic equation is given as;
[tex]b^2 - 4ac>0 \ \ ( 2 \ solutions; 1 \ positive \ and \ 1 \ negative\ solution)\\\\b^2 -4ac = 0 \ \ (1 \ real \ solution)\\\\b^2 - 4ac \ < 0 \ \ (complex \ root, \ no \ solution)[/tex]
A discriminant of negative 8 falls with last category in the solution above.
[tex]b^2 - 4ac <0 \ \ (eg \ -8),[/tex]
[tex]x = +/-\sqrt{-8} \\\\x = \sqrt{-8 } \ \ or \ \ -\sqrt{-8} \ \ \ \ \ (2 \ complex \ roots)[/tex]
Thus, if the discriminant of a quadratic equation is equal to Negative 8, there are two complex roots.
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In the figure shown, r l l s
Solve It! The area of a rectangular solar panel is given by the trinomial below.
x^2+7x+12
The height of the solar panel is given by the binomial below.
x+3
What is an expression for the length of the panel?
A.x^2+6x+9
B.x+3
C.x^2+3
D.x+4
Answer:
im not sure hmu if gets answered
Step-by-step explanation:
the quotient of 9 3/4 and 5/8
Answer:
15.6
Step-by-step explanation:
The answer is 15.6 because if you divide 9 3/4 by 5/8, you get 78/5, or 15.6 in decimal form. Hope it helps!
Katie make the cake her brother a 1/8 of the cake her father ate one fourth of the cake and her mother eat 1/8 of the cake how much cake is left
Answer:
1/2
Step-by-step explanation:
Well first lets break it down into steps!
We have 1 cake.
Brother ate: 1/8
Mom ate: 1/8
Dad ate: 1/4
Now we know that 1/8 + 1/8 = 1/4.
So her brother and mom combined ate 1/4th of the cake.
Her dad also ate 1/4th.
So we have 1 - (1/4) - (1/4) = 2/4 = 1/2.
1/2 of the cake is left.
11. Use an inequality symbol (<, >, 2, =) to compare -26
O A.
O B. =
O C.<
O D.>
Answer:
c. <
Step-by-step explanation:
-26 < (less than) 54
What is the answer to this problem?
Answer:3
Step-by-step explanation:
C = 2()r
2*3.14 = 6.28
18.84 / 6.28
=3
If correct pls give brainly
A store plans to sell two different game consoles, the Wii and the xbox. The store’s wholesale price for the Wii is $250, and the store can sell one for $295. The xbox wholesale price is $400, and the store can sell it for $450. The stores marketing research indicates that the total monthly demand for game consoles will not exceed 250 units sold. The store’s financial manager doe not want to invest more than $70,000 in inventory costs for game consoles. Write the constraints and the objective formula.
I'll answer this question in a bit, I am busy with some other things right now.
Write an equation for a line parallel to y = 5x + 1 and passing through the point (3,11)
Answer:
Here's the parallel line: y = 5x - 4
FIRST RIGHT GETS BRAINLIEST
Answer:
-1 + 7 =-8
Step-by-step explanation:
Answer:
-6, -7
Step-by-step explanation:
-1 + -6 = -7
tim has two spinners
I need to find the value of y
ok check this out
its a simple equation from my analysis
given the equation of the vector line 3y-4=28
just an algebraic simplification might help
3y=28+4
3y=32
y=1Answer: y=10.6667
Step-by-step explanation:
y=10.6667
Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.) 36 x2 x dx
We need to find the integration of (36x²)x.dx .
We know,
[tex]\int x^n.dx = \dfrac{x^{n+1}}{n+1} +c[/tex]
Now,
[tex]I=\int {36x^2x} \, dx \\\\I=36\int x^3.dx\\ \\I=36\times \dfrac{x^4}{4}+c\\\\I=9x^4+c[/tex]
Therefore, the integration of (36x²)x.dx is [tex]9x^4+c[/tex] .
Hence, this is the required solution.
To find the solution to the equation using factoring, we need to first write it in standard form.
Which of the following choices is equivalent to the equation:
(x - 3)(x + 5) = 10
x^2 + 2x - 5=0
x^2 + 8.2 – 25 = 0
x^2 + 2x – 25 = 0
x^2 + 2x + 5 = 0
Answer: the answer is x^2+2x-25
Step-by-step explanation:
Use distributive property
Multiply the two x’s by each other
Multiply the first x by +5
Multiply the -3 by x
Multiply the -3 by +5
You have x^2+5x-3x-15=10
Move the 10 to the left side and simplify
x^2+2x-25
1/2 mi = 880 yd
O True
O False
Help
Answer:
True
Step-by-step explanation:
1,760 yds = 1 mile, 1,760 ÷ 2 = 880
3 of 5
Simplify as far as possible without a calculator.
33(272+273)
Answer:
17,985
Step-by-step explanation:
33(545)= 17,985
Help me please I’m timed
Answer:
a=3 b=4
Step-by-step explanation:
a on the power of 3 is 8
3 on the power of 4 is 81
multiply them and you get 648
There was a 6 square foot piece of wrapping paper for a birthday present
where's the rest of question so I can help?
Could it be zero? 4(x+2)=10
2. 12-8x=3(x+4)
Answer:
1) x=0.5
2 x=0
Step-by-step explanation:
Question No. 1
4(x+2)=10
4x+8=10
4x=2
x=0.5
Question No. 2
12-8x=3(x+4)
12-8x=3x+12
8x-3x=12-12
5x=0
x=0
What is an advantage of using a check book
How much is 28 + 56 + 93
Answer:
177
Hope this helps
baby weighs 4kg when born. at 6 months it weighs m kg. write expression for the weight gain of baby over 6 months
Answer:
gsgdysbdhydsh jz jsjsjeueheyshsusjdhhdjdhdud7
Step-by-step explanation:
hsgshshhshjsjshsjsnseusjsuusjdhddhdydhdhshhsus hjdshsdjdjusisisos kejhfkzbudhuedje3hxue26r2ztedstzvyAnswer:
Wiki Biki Kiki mc mf you
How do you find equivalent ratios? HELP HELP HELP!!! I NEED THE ANSWERS ASAP!!!
Answer:
multiply or divide both quantities by the same number
Step-by-step explanation:
To find an equivalent ratio, multiply or divide both quantities by the same number. It is the same process as finding equivalent fractions
Answer:
1. True
5/7= 0.714285
20/28= 0.714285
2. False
11/13= 0.846
22/25= 0.88
Help ASAP, easy 15 points and a brainly for the first one to answer .
Answer:
It slopes downward from left to right. You can see the downward slope of that gender, which starts at the left and moves to the right.
Step-by-step explanation:
How are 18:3 and 6:1 equivalent ratios
Answer:
You know 18:3 and 6:1 are equivalent ratios because if you take 18:3 and divide both sides by 3, 18/3:3/3, then you will get 6:1, which is clearly equal to 6:1.
18:3 and 6:1 are equivalent ratio because two ratios are in proportion
Given :
We are given with two ratios 18:3 and 6:1
We need to show that two ratios are equal
Lets take ration 18:3
Both 18 and 3 are divisible by 3
We can write the ratio in fraction form
[tex]\frac{18}{3} \\[/tex]
When we divide both top and bottom by 3 , we get
[tex]\frac{6}{1}[/tex]
we can say that [tex]\frac{18}{3} =\frac{6}{1}[/tex]
Hence, the ratios are equivalent ratios
18:3 and 6:1 are equivalent ratios
Learn more : brainly.com/question/18431407
Two requirements to be employed within a certain company are that you must be at least 18 years of age and have had more than one job-related work experience. Write and graph two inequalities that represent the requirements.
Answer:
Step-by-step explanation:
x≥18 and x>1 are the inequalities which represents certain company are that you must be at least 18 years of age and have had more than one job-related work experience.
What is Inequality?A relationship between two expressions or values that are not equal to each other is called 'inequality.
Given,
A certain company are that you must be at least 18 years of age
Let x be the age of employees.
x must be at least 18 years of age.
x≥18
We use ≥ symbol when atleast is used, which means it can be 18 or more than that.
Now employees more than one job-related work experience
Let x be the work experience.
x>1
Here we use > because its given that it should be greater than 1.
Hence, x≥18 and x>1 are the inequalities which represents certain company are that you must be at least 18 years of age and have had more than one job-related work experience.
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-3 times (7+(-3) to the second power) divided by 3
Answer:
-18
Step-by-step explanation:
0.5f - 2.3g
F= 12, g = 2
Hi there & welcome to brainly !
Answer:
[tex] \huge{ \bold{ \boxed{ \tt{1.4}}}}[/tex]
Step-by-step explanation:
[tex] \text{Given : f \: = \: 12 \: g = 2}[/tex]
[tex] \text{To \: find : Value \: of \: given \: expression}[/tex]
[tex] \text{Let's \: start}[/tex] :
[tex] \text{0.5f \: - 2.3g}[/tex]
Here, The values of f and g are 12 and 2 respectively. Plug the given values :
↦ [tex] \text{0.5 ∗ \: 12 - 2.3 ∗ 2}[/tex]
Multiply : 0.5 and 12
↦ [tex] \text{6 - 2.3 \: ∗ \: 2}[/tex]
Multiply : 2.3 and 2
↦ [tex] \text{6 - 4.6}[/tex]
Subtract 4.6 from 6
↦ [tex] \text{ \boxed{1.4}}[/tex]
Hope I helped!
Best regards! :D
~[tex] \text{TheAnimeGirl}[/tex]
The solution of the given expression will be; 1.4
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
We are given that 0.5f - 2.3g where f = 12 and g = 2
Now substitute 12 in for f and 2 in for g and solve;
0.5(12) -2.3(2)
6 - 4.6
=1.4
To know more about an expression follow;
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The complete question is;
Evaluate the expression: 0.5f - 2.3g where f = 12 and g = 2
22.35 written form using proper words
twenty-two and thirty-five hundredths