Answer:
Step-by-step explanation:
Use the distributive property to get rid of the brackets.
9i + 2*7 + 2*3i Use the multiplication property to simplify the imaginary terms
9i + 2*3i + 2*7 Do the same to the real term
9i + 6i + 14 Use the addition of like terms property
15i + 14 And that's your answer.
You may not like my terminology, but you have to remember that every text teaches this differently.
If it took 8 hours to clean 12 houses how many houses could be cleaned in 12 hours
Answer:
18 houses
Step-by-step explanation:
12 houses / 8 hours = 1.5 houses an hour
We're given 12 hours, so:
1.5 houses/hour * 12 hours = 18 houses
2d +4(d – 3) = 3, what is 9d+1
9514 1404 393
Answer:
9d +1 = 23.5
Step-by-step explanation:
=Simplifying, we have ...
2d +4d -12 = 3
6d = 15
d = 15/6 = 5/2
Then 9d+1 is ...
9(5/2) +1 = 45/2 +1 = 47/2
9d +1 = 23.5
The length of a rectangle exceeds its width by 1
inch and the area is 132 square inches. What
are the length and width of the rectangle?
Answer:
Width equals 11, and length equals 12.
Step-by-step explanation: It is helpful to memorize your multiplication tables up to 12. I personally couldn't figure out a formula for this, but I knew that 12 x 11 equals 132, and the length is greater than the width, so length is 12 and width is 11. Hopefully somebody else can figure it out. P.S. I meant the formula, not the answer, my answer is correct.
Answer:
[tex]l(l - 1) = 132[/tex]
[tex] {l }^{2} - l - 132 = 0 [/tex]
[tex](l - 12)(l + 11) = 0[/tex]
[tex]l = 12 \: or \: l = - 11[/tex]
[tex]length \: must \: be \: postive[/tex]
[tex]integers[/tex]
[tex]l = 12 \: and \: w = l - 1 = 11[/tex]
plato
which of the following tables can be generated from the equation y equals 2x + 1
Answer: 2 the first one
Step-by-step explanation:
Answer: the first one
Step-by-step explanation:
If the radius r of a circle is decreasing at the rate of 5 cm per minute, find the rate of change of area when radius is 6 cm.
Answer:
-94.2 [tex]cm^2/min[/tex]
Step-by-step explanation:
Rate of change of radius = -5 cm per minute (as it is decreasing)
Radius of circle = 6 cm
Formula for area of Area:
[tex]A = \pi r^2[/tex]
Formula for differentiation of [tex]y = x^n[/tex]:
[tex]\dfrac{dy}{dt} = nx^{n-1}\dfrac{dx}{dt}[/tex]
Differentiating area w.r.to [tex]t[/tex]:
[tex]\dfrac{dA}{dt} = 2\pi r\dfrac{dr}{dt}[/tex]
Putting the values, [tex]r = 6, \frac{dr}{dt} = -5[/tex] cm per minute.
[tex]\dfrac{dA}{dt} = 6\pi \times (-5)\\\Rightarrow \dfrac{dA}{dt} = -30 \times 3.14\\\Rightarrow \dfrac{dA}{dt} = -94.2\ cm^2/min[/tex]
Negative sign indicates that area is decreasing.
Rate of change of area is -94.2 [tex]cm^2/min[/tex].
The area decreases at a rate of -188.4 square centimeter per minute
The area (A) of a circle of radius (r) is represented as:
[tex]A = \pi r^2[/tex]
Differentiate the area, with respect to r
[tex]A' = 2\pi r r'[/tex]
From the question, we have:
Radius (r) = 6cmRate of change of radius (r') = -5cm per minuteSo, the equation becomes
[tex]A' = 2\times 3.14 \times 6 \times (-5)[/tex]
[tex]A' =- 188.4[/tex]
Hence, the area decreases at a rate of -188.4 square centimeter per minute
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Hallar la ecuación de la hipérbola que tiene focos en (-5,-11) y (-5,3) y vertice (-5,-8) y (-5,0) ayuda porfa
Answer:
SPANISH TALK THE ENGLSH
Step-by-step explanation:OKKK
OK I GIV ANSWER TALK ENGLISh
May you please help ill give out brainlyist ..
Answer:
C. is your answer dear
Step-by-step explanation:
2^3 = 8
1 = 1
A coordinate plane with 2 lines. The first line is labeled y equals f(x) and passes through (0, 4) and (1, 1) The second line is labeled y - g(x) and is horizontal passing through (negative 2, 2), (0, 2), and (2, 2). The lines intersect at a point that is slightly to the right of (0.5, 2).
If f(x) = −3x + 4 and g(x) = 2, solve for the value of x for which f(x) = g(x) is true.
x = ______
Answer:
2/3
Step-by-step explanation:
cuz it is
Answer:
2/3
Step-by-step explanation:
Ryan feeds his chicken 1/ 3 cups of grain per day. The grain container has 6 cups of grain left. For how many days can Ryan feed the chicken?
Answer:
18 days
Step-by-step explanation:
1 cups=3 days
2 cups=6 days
3 cups=9 days
4 cups=12 days
5 cups=15 days
6 cups=18 days
For the state of Indiana, there are 181,560 businesses that are open during the pandemic. If this makes up only 68% of all businesses, how many total business are there in the state?
Answer:
267,000
Step-by-step explanation:
SCREEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Answer:
2.4 m
Step-by-step explanation:
when the Dixon family traded in their old car, it had 53,790 miles on it. they had the car for 8.25 years. on average, how many miles did they drive per year?
Answer:
6,520 miles per year
Step-by-step explanation:
53,790 divided by 8.25 equals 6,520
Which is the better buy?
48-fluid-ounce container of laundry detergent for
$5.28
3-gallon container of laundry detergent for $34.56
Answer:
3-gallon container of laundry detergent for $34.56
Step-by-step explanation:
48-fluid-ounce container of laundry detergent for $5.28
5.28 : 48 = 0.11
check your work: 0.11 x 48 = 5.28
so for the first offer you will be paying $0.11 per ounce of laundry detergent.
3-gallon container of laundry detergent for $34.56
1 gallon = 128 ounces
3 gallons = 384 ounces
34.56 : 384 = 0.09
check your work: 0.09 x 384 = 34.56
for the second offer you will be paying $0.09 per ounce of laundry detergent. 3-gallon container of laundry detergent for $34.56 is a better buy because you will be paying less for each ounce of detergent.
hope this helps!
A store buys lawnmowers from the manufacturer and marks
up the price by 40% to arrive at a retail price. Fill in the
blank: The wholesale price is times the retail price.
Answer:
0.7142857
Step-by-step explanation:
Let wholesale price = x
Retail price = 40% Markup of wholesale price
Retail price = (100 + 40)% of x
Retail price = 140% of x
Retail price = 140/100 * x
Retail price = 1.4x
Hence,
Wholesale price / retail price
x / 1.4x
= 0.7142857
Hence, wholesale price is 0.7142857 of the retailer price
Find the Length of AC. Round answers to the nearest hundredth (2 decimal places)
Answer:
32.78
Step-by-step explanation:
Assuming that we have two right triangles joined together, with one having adjacent side a, with a side of 12 ft opposite reference angle 30°, and the other one having adjacent side b, with a side of 12 ft opposite reference angle 45°. Thus, a + b = length of AC.
Let's find a and b.
Finding a:
Reference angle = 30°
Opp = 12 ft
Adj = a
Using trigonometric ratio formula, we have:
tan(30) = 12/a
Multiply both sides by a
a*tan(30) = 12
Divide both sides by tan(30)
a = 12/tan(30)
a = 20.78 (nearest hundredth)
Finding b:
Reference angle = 45°
Opp = 12 ft
Adj = b
Using trigonometric ratio formula, we have:
tan(45) = 12/b
Multiply both sides by a
b*tan(45) = 12
Divide both sides by tan(45)
b = 12/tan(45)
a = 12
Length of AC = 20.78 + 12 = 32.78
Select a symbol to compare the numbers.
7/10
0.07
Answer:
7/10>0.07
Step-by-step explanation:
You can turn 7/10 into decimal and its 0.7.
0.7 is greater than 0.07 so you would put a > sign
so the answer is 7/10>0.07
pls mark brainliest
Can I see a picture of this
Help help please I really need it
Pleaseeeeee help please
jack was 8 years older than priscilla. together their ages totaled 154 years. what were their ages?
Answer:
Jack is 81, Priscilla is 73
Step-by-step explanation:
Because their age difference is 8 years, we can subtract 8 from the total 154 years to get 146. Then we divide by 2 to get 73, so Priscilla is 73. Jack is 8 years older, so therefore he is 81. We can check this by adding 81 + 73 = 154.
what's 9x - 7i > 3 (3x - 7u) ?
Step-by-step explanation:
9x-7i>9x-21u
-7i>-21u
i<3u
The solution to the given inequality 9x - 7i > 3(3x - 7u) is i < 3u.
Given that:
Inequality: 9x - 7i > 3 (3x - 7u)
To solve the inequality 9x - 7i > 3(3x - 7u), follow these steps:
Step 1: Distribute the 3 on the right side of the inequality as:
9x - 7i > 9x - 21u.
Step 2: Simplify the inequality.
9x - 9x - 7i > - 21u.
Step 3: Rewrite the inequality.
After cancelling out the 9x terms, we are left with -7i > -21u.
Step 4: Divide both sides by -7.
i < 3u
Therefore, the solution to the inequality 9x - 7i > 3(3x - 7u) is i < 3u.
Learn more about Inequality here:
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Generally those who are less active have no opportunities to exercise
Answer:
False
Step-by-step explanation:
Edge 2021
Hii I need the 7th and 8th question asap will mark brainliest 100% to who ever answers first and right thank you
How do you say hi in chamoru?
Answer:
Step-by-step explanation:
To say Hi in Chamoru you say, "Håfa Adai" (Chamorro for "Hello").
Hope this helped!
Hamburger meat sells for $6 for every 3 pounds. If Alicia buys 10 pounds of hamburger meat, how much will she pay?
Answer:
20
Step-by-step explanation:
Overdue! Please help me! Thank you.
Answer:
1. $79.5 for 10 pizzas
2. $107 for 20 pizzas
Step-by-step explanation:
all you have to do is plug in your numbers to the function! for question one, you would plug in 10 as p. the equation would be s=2.75(10)+52. simplify by multiplying 2.75 by 10 and adding 52. you should get $79.5. for the second one, the equation is s=2.75(20)+52. i encourage you to solve it yourself just to make sure you understand!
The count of bacteria in a culture is 10 and doubles every 20 minutes. Find the population size after 11 hours. Can someone explain how to solve this?
Since you asked how to solve this, I will put the answer at the bottom.
You might not think the same way as I but I think in steps.
(1) Calculate how many times the bacteria divide in eleven hoursThe bacteria divide every 20 minutes, and will therefore divide three times every hour, 60/20 = 3.
If the bacteria grow for eleven hours, each bacterium will divide 3 times per hour × 11 hours = 33 times.
(2) Add the orginial size of bacteria into the equation(This part is edited)
(orginial size)*2^number of divisions
10*[tex]2^{33\\}[/tex]
=85899345920
What is the step. some help
Answer:
Step-by-step explanation:
LM=2x+24
MN= x+28
LN=31
LN=(2x+24)+(x+28)
31=(2x+24)+(x+28)
solve
31=(2x+24)+(x+28)
31-24-28 = 2x +x
-21=3x
-7=x
Find the ratio of red marbles to total marbles. Write the ratio in simplest form.
5/3
3/5
2/3
3/2
Answer:
3:5
Step-by-step explanation:
ratio is 4:6 so ratio equals 2:3
red marbles is 3/5
1. Which equation represents the relationship shown in the table below? (1 point)
y = -x - 3
y=x-3
y = 2x - 3
y=-2x + 3
The equation representing the relationship in the table is y = 2x - 3. The correct option is C.
What is an equation?The equation in mathematics is the relationship between the variables and the number and establishes the relationship between two or more variables.
Given data in the table:-
x y
0 -3
1 -1
2 1
3 3
The equation satisfying the values of the table will be:-
y = 2x - 3
-3 = 2 x 0 - 3=-3
-1 = 2 x 1 - 3 =-1
1 = 2 x 2 - 3 = 1
3 = 2 x 3 - 3 = 3
Therefore, the equation representing the relationship in the table is y = 2x - 3. The correct option is C.
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