Answer:
1/3a - 8
Step-by-step explanation:
Distribute negative sign:
2/3a - 5 + -1 (1/3a + 3)
2/3a + -5 + -1 (1/3a) + (-1)(3)
2/3a + -5 + -1/3a + -3
Combine like terms:
2/3a + -5 + -1/3a + -3
(2/3a + -1/3a) + (-5 + -3)
= 1/3a - 8
First round 0.69 to the nearest tenth.
Answer:
0.69 rounded to the nearest tenth is 0.7
Can someone answer this
Answer:
Step-by-step explanation:
multiply by 6
4-24x+21=-54x+5
54x-24x=5-4-21
30x=-20
x=-20/30=-2/3
A company makes a profit of $y (in thousand dollars) when it produces x computers,
where y is given by the formula y = a(x - 100)(x - 200) for x 20 If 120
computers are produced, the profit will be $3,200,000.
a) Find the value of a.
b) What is the maximum profit the company can make? At this profit, how many
computers should be produced?
c) If the company targets to make at least $4,800,000, what is the range of the
number of computers to be produced?
Using quadratic function concepts, it is found that:
a) The value of a is -2000.
b) The maximum profit the company can make is of $5,000,000, when 150 computers should be produced.
c) Between 140 and 160 computers need to be produced.
The profit is modeled by:
[tex]y = a(x - 100)(x - 200)[/tex]
Item a:
If 120 computers are produced, the profit will be $3,200,000, hence when [tex]x = 120, y = 3200000[/tex], and this is used to find a.
[tex]y = a(x - 100)(x - 200)[/tex]
[tex]3200000 = a(120 - 100)(120 - 200)[/tex]
[tex]-1600a = 3200000[/tex]
[tex]a = -\frac{3200000}{1600}[/tex]
[tex]a = -2000[/tex]
The value of a is -2000.
Item b:
We first place the quadratic function into standard form, thus:
[tex]y = -2000(x - 100)(x - 200)[/tex]
[tex]y = -2000(x^2 - 300x + 20000)[/tex]
[tex]y = -2000x^2 + 600000x - 40000000[/tex]
Which has coefficients [tex]a = -2000, b = 600000, c = -40000000[/tex].
Then, we have to find the vertex:
[tex]x_V = -\frac{b}{2a} = -\frac{600000}{2(-2000)} = 150[/tex]
[tex]\Delta = b^2 - 4ac = (600000)^2 - 4(-2000)(-40000000) = 40000000000 [/tex]
[tex]y_V = -\frac{\Delta}{4a} = -\frac{40000000000 }{4(-2000)} = 5000000[/tex]
The maximum profit the company can make is of $5,000,000, when 150 computers should be produced.
Item c:
We are working with a concave down parabola, hence the range is between the roots of:
[tex]y = -200x^2 + 600000x - 40000000[/tex]
[tex]4800000 = -200x^2 + 600000x - 40000000[/tex]
[tex]-200x^2 + 600000x - 44800000 = 0[/tex]
The coefficients are [tex]a = -200, b = 600000, c = -44800000[/tex].
Then:
[tex]\Delta = b^2 - 4ac = (600000)^2 - 4(-2000)(-44800000) = 1600000000[/tex]
[tex]x_1 = \frac{-b - \sqrt{Delta}}{2a} = \frac{-600000 - \sqrt{1600000000}}{2(-2000)} = 160[/tex]
[tex]x_2 = \frac{-b + \sqrt{Delta}}{2a} = \frac{-600000 + \sqrt{1600000000}}{2(-2000)} = 140[/tex]
Between 140 and 160 computers need to be produced.
A similar problem is given at https://brainly.com/question/24705734
Use point-slope form to write the equation of a line that passes through the point (19,-17) with slop -5/3
Answer:
y +17 = -5/3(x -19)
Step-by-step explanation:
The point-slope form of the equation for a line is ...
y -k = m(x -h) . . . . . . . line with slope m through point (h, k)
You want a line with slope -5/3 through point (19, -17). Its equation is ...
y -(-17) = -5/3(x -19) . . . . . substitute the given values
y +17 = -5/3(x -19) . . . . . simplify
What is the value of x? Midsegments of triangles
Hi how u doin ?
[tex] \frac{16}{x + 4} = \frac{1}{2} \\ [/tex]
inverse both sides
[tex] \frac{x + 4}{16} = \frac{2}{1} \\ [/tex]
Multiply both sides by 16
[tex]16 \times \frac{x + 4}{16} = 16 \times 2 \\ [/tex]
[tex]x + 4 = 32[/tex]
Subtract both sides 4
[tex]x + 4 - 4 = 32 - 4[/tex]
[tex]x = 28[/tex]
There u go..... Have a great day ❤
this is just and addition to the great posting below, just supplementing.
keeping in mind that the midsegment of a triangle is half the length of the parallel base/side, Check the picture below.
What is the z-score of x, when x = 1 and X ~ N (12,3)? Must Show Working
Answer:
=1−12/3≈−3.67
Step-by-step explanation:
The z-score of x = 1, when x ~ N(12, 3), is approximately -3.6667.
To find the z-score of x when x = 1, we'll use the formula for z-score:
z = (x - μ) / σ
Given:
x = 1
μ (mean) = 12
σ (standard deviation) = 3
Substituting these values into the formula, we get:
z = (1 - 12) / 3
Calculating the numerator:
1 - 12 = -11
Dividing the numerator by the denominator:
-11 / 3 ≈ -3.6667
Therefore, the z-score of x = 1, when x follows a normal distribution with a mean of 12 and a standard deviation of 3, is approximately -3.6667.
To know more about z-score, refer here:
https://brainly.com/question/31871890
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A ladybug crawls around the outside of a rectangle that measures 7.5 cm by 8.5 cm. The ladybug stays exactly 3.9 cm from the rectangle at all times to form a larger figure. What is the area of the new rectangle bound by the path of the bug?
Answer:
185.64 [tex]cm^{2}[/tex]
Step-by-step explanation:
Width =7.5+3.9*2 = 15.3 cm
Length = 8.5+3.9*2=16.3 cm
Big Area = 15.3*16.3 = 249.39 [tex]cm^{2}[/tex]
Small Area = 7.5*8.5 = 63.75 1 [tex]cm^{2}[/tex]
area bounded by the path of the bug = 249.39-63.75 = 185.64 [tex]cm^{2}[/tex]
Identify the kind of sample that is described
The student government association at a certain college chooses three classes, at random, being taught during a given semester
and samples all students in those classes to ask about a new grading policy.
Answer:
Cluster sampling
Step-by-step explanation:
Choosing groups and sampling whole group.
Investing $10,000 in a savings account at 3% annual interest compounded monthly will result in approximately how much money after
10 years?
formula: A = P(1 + r/m)^mt
O $10, 564.68
O $13, 439.16
O $13, 493.54
O $13,000.00
Answer:
$13,493.54
Step-by-step explanation:
We are gonna use the provided formula: A = P(1 + r/m)^mt
A = Final amount (?)
P = Starting amount (10,000)
r = rate (0.03)
m = times applied (12 since it is compounded monthly)
t = years (10)
A = 10,000(1 + 0.03/12)^12·10
I would suggest using a calculator, but let's try to get a little far with this
A = 10,000(1 + 0.0025)^12·10
A = 10,000(1.0025)^120
A = 13,493.535471908333
5. Hamza chopped up
pineapple and gave į to his
mum. He also ate half himself.
How much was left to give to
his dad?
Answer:
depends how much he chopped up
Step-by-step explanation:
Answer:
Nothing
Step-by-step explanation:
"5. Hamza chopped up
pineapple and gave ½ to his
mum. He also ate half himself.
How much was left to give to
his dad?"
1 - 1/2 - 1/2 = 2/2 - 1/2 - 1/2 = 1/2 - 1/2 = 0
Answer: There was nothing left for him.
HELP
The perimeter of a rectangular pool is 740 yd. If the length is 30 yd less than four times the width, find the length and width.
The length of the rectangular pool is __ yd.
The current / in an electric circuit varies inversely with the resistance R. If a current of 60 amperes is produced by a resistance of 9 ohms, what current will be produced by a resistance of 6 ohms?
A resistance of 6 ohms will produce a current of
amperes
Answer:
Step-by-step explanation:
E = IR
E = 60(9)
E = 540 V
540 = I(6)
I = 540/6
I = 90 Amperes
100 points, Please help!
Answer:
Look if you say 100 points. Give a hundred points. If you want an answer be honest~ and say fifty points
Step-by-step explanation:
1=17
2=97
Answered:
1 = 17
2 = 97
The labor cost for a certain dish is $40 per hour. If it takes 45 minutes to make the dish, what is the labor cost for this particular dish?
Luisa buys a plane ticket that has an original price of $\$240$ . She uses a coupon code to get a $30\%$ discount off of the original price. She is then charged a $7\%$ tax on the discounted price.
What is the final cost for Luisa's plane ticket?
Answer:
c
Step-by-step explanation:
Answer:
179.76
Step-by-step explanation:
If there are 240 dollars then minus 30%240-30%=168.00Then, plus the 7% 168+7%= 179.76I hope this helps!
4 lbs of tomato’s cost $14 complete the double number line so that it shows how much it will cost for up to 8 lbs of tomato’s
Answer:
the answer is 28$ because since the lbs get doubled so ypu also have to double the cost
What is (- 2g-6)-(g-10)
Answer:
-3g + 4
Step-by-step explanation:
Answer:
Step-by-step explanation
(-2g-6)-\left(g-10\right)
(−2g−6)−(g−10)
Danielle's text messaging plan costs $8 for the first 550 messages and 15¢ for each additional text message. If she owes $8.60 for text messaging in the month of October, how many text messages did she send that month?
Answer:
Danielle sent 554 text messages that month.
Step-by-step explanation:
In Oct she owed: $8 + 60¢
Because 15¢ = 1 additional message => 60¢ = 4 additional messages
So Danielle sent 550 messages (=$8) and 4 additional messages (= 60¢)
=> She sent: 550 messages + 4 additional messages = 554 messages
Hope this helps!
QUIEN MONDA ME AYUDA A SOLUCIONA'
f(x)=(3x-4x)(-8x² + 3x)
POR FAVOR
Answer:
- x(- 8x^2 + 3x)
8x^3 - 3x^2
Bradley is 27 years older than Madison seven years go, the sum of their ages was 59?
Answer:
how old is Madison right then I can't really help u solve it with that little info
Help me poeaseeeeeeeeeeee
Answer:
C. Hope It's Help :)))))
Answer:
4.5
Step-by-step explanation:
∛100 = ?
100 = 2 x 2 x 5 x 5
∛100
= ∛ ( 2 x 2 x 5 x 5 )
= 4.642
4.642 ~ 4.5
The approximation 4.642 can also be written as 4.5
Therefore,
∛100 = 4.5
NO LINKS..... There are 39 people on a city bus. The ratio of adults to children is 10:3. At the next stop, 3 adults get off the bus. What is the new ratio of adults to children on the bus? A. 3:1 B. 9:2 C. 7:3 D. 12:1
thanks ill mark brainliest
If I'm watching Gossip Girl, then it is Monday.
Hope this helps you!
Answer:
if i am watching Gossip Girl then it is monday
Step-by-step explanation:
that is the common sense that everyone should know
hope this helps everyone and have a great summer!
What type of correlation does the data set display?
х
y
2
13
5 11
7 10
9
8
11
2
A. Negative
O B. No correlation
C. Positive
Answer:
B-NO CORRELATION.....
shola earns #750 every month. if she spends 4/5 of her salary and saves the rest, how much does she save every month?
Answer:
250
Step-by-step explanation:
Amount she earns = 750
amount she spend = ⅘ of 750 = ⅘×750= 600
amount she saves = 750-600
Shola saves $150 every month.
What is multiplication?Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression for some number of times.
Example - 2 × 3 means 2 is multiplied by 3, or 2 is added 3 times.
Given:
Shola earns $750 every month.
She spends 4/5 of her salary.
That means,
4/5 of $750.
And 4/5 of $750 = 4/5 x 750
= 4 x 150
= 600
She spends $650 per month.
Saved amount,
= $750 - $600
= $150
Therefore, $150 is her monthly savings.
To learn more about the multiplication;
https://brainly.com/question/19634536
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Mr. Levy has a budget of $18,000. Uniforms for the marching band cost $315 each, and he needs 62 uniforms. He says, "Since 60x$300=$18,000, I can stay within the budget." Do you agree? Explain.
Answer:
No. See explanation below.
Step-by-step explanation:
No.
Since 60 × $300 = $18,000, he would be exactly at budget if he needed 60 uniforms and if each uniform cost $300, but he needs more than 60 uniforms, and each uniform costs more than $315, so the total cost is definitely more than $18,000.
No, Mr. Levy would not be staying within budget.
Sure, 60 · $300 is $18,00, but he didn't take in the other $15 or the 2 extra uniforms.
If he were to do the math correctly, he should have done 62 · $315, which would be $19,530.
If Mr. Levy were to buy all the uniforms and not worry about it because "60 · $300 is $18,000," he would go over the budget by $1,530.
Have a luvely day!
Use the ALEKS calculator to write
13
24
as a decimal rounded to the nearest tenth.
Enter your search term
Answer:
0.13
0.24
Step-by-step explanation:
please mark as brainlist
Answer:
0.13
0.24
Step-by-step explanation:
In the 7th grade, 30% of students wear a medium size shirt. If 93 students wear a medium, how many total students are there in the 7th grade?
Answer:
310
Step-by-step explanation:
Answer:
310
Step-by-step explanation:
is/of = % / 100
[tex]93/x = 30/100[/tex]
93 * 100=9300
9300/30 = 310
find the missing side length. giving BRAINLIEST.
Answer:
15 degrees
Step-by-step explanation:
It is a right angle!
61 + 14 = 75
90 - 75 = 15
Hope this helps!!! :))
Bài 4: 350 Cho tam giác ABC nhọn, hai đường cao BD, CE cắt nhau tại H. M là trung điểm của BC. K đối xứng với H qua M. a) Chứng minh tứ giác BHCKlà hình bình hành b) Chứng minh BK LAB và CK AC. c) Gọi 0 là trung điểm của AK. Chứng minh OM IBC d) Gọi N là điểm đối xứng với H qua BC. Chứng minh BNKC là hình thang cần
