Answer:
12i + 9
Step-by-step explanation:
Since sqrt of negative numbers cannot exist, they are numbers followed by the letter I.
sqrt -16=4i
sqrt -64=8i
3 and 6 cannot be grouped with them, so you would add these two
3+6=9
8i+4i=12
I believe this would be the answer:
12i + 9.
Answer:
18-32i
Step-by-step explanation:
(3+sqrt(16i)(6-sqrt(64i)
= 18-32i
Determine if the three side lengths could form a right triangle.
4, 11, 16
Answer:
yes it can i think
Step-by-step explanation:
Solve for x:
20- 3x= -3(x-8)
Answer:
[tex]20 - 3x = - 3( x - 8) \\ 20 - 3x = - 3x + 24 \\ - 3x + 3x = 24 - 20 \\ 0 = 4[/tex]
It does not have any answer.
Peter says, "If you subtract 19 from my number and multiply the difference by -3, the result is
- 21." What is Peter's number?
Peter's number is?
Answer:
26
Step-by-step explanation:
Let the peter's number be represented x
Given that
1. if you subtract 19 from my number
writing it mathematically it will be x -19
2. multiply the difference by -3
it can be written as
since difference is x-19
multiplied the difference with -3
-3(x-19)
3. the result is -21
-3(x-19) = -21
dividing both side by -3
-3(x-19)/-3 = -21/-3
x-19 = 7
adding 19 both sides
x-19 + 19 = 7 + 19
x = 26
Thus, peter's number is 26.
Oct 16, 12:30:47 PM
Wyatt has 6 cups of yogurt to make smoothies. Each smoothie uses cup of yogurt.
What is the maximum number of whole smoothies Wyatt can make with the yogurt?
Please help ASAP!!! Will give brainlist!
Answer:
the last 1
Step-by-step explanation:
The money spent, M , purchasing burritos at a particular fast food restaurant varies directly with the number of burritos purchased, B. When 12 burritos are purchased, $45 is spent. How much money is spent if 28 burritos are purchased? S
Answer:
multiply 3.75 to 28 and it equals 105
Step-by-step explanation:
The amount of money spent to buy 28 burritos will be $105.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that the money spent, M, purchasing burritos at a particular fast food restaurant varies directly with the number of burritos purchased, B. When 12 burritos are purchased, $45 is spent.
The money required to purchase 28 burritos will be calculated as:-
12 burritos = $45
1 burrito = 45 / 12
28 burritos = ( 45 / 12 ) x 28
28 burritos = $105
Therefore, the amount of money spent to buy 28 burritos will be $105.
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. I'm very bad in math help would mean alot to me
Answer:
(6,1)
Step-by-step explanation:
In order to find the third point, you first need to identify the side length of XZ. X is (1, 1) and Z is (1, 5). In order to find the length of this segment, you just need to subtract 1 from 5 since that is the difference in the y-values and the x-values are the same.
Now, you know that XZ = 4. The problem says that the area of the triangle is 10, and the area of a triangle is a = [tex]\frac{1}{2}[/tex]bh, so you can just insert the values into the equation to solve for the base:
a = [tex]\frac{1}{2}[/tex]bh
= 10 = (1/2) * b * 4
= 10 = 2b
= 5 = b
Because the base is 5 units long, you can just add 5 to the x-value of the point Z, since Y is 5 units to the right of it
Y is (1 + 5, 1)
Y is (6,1)
1. Refer to the equation 3x − 5y = 15. (a) Create a table of values for at least 4 points. Show your work on how you found the values for each coordinate pair, and validated the points were on the line. Work for Point 1 Work for Point 2 Work for Point 3 Work for Point 4
Answer:
We have the equation:
3x - 5y = 15
a) We want to create a table with at least 4 points.
To do this, first, let's write the equation as a function: We must isolate one of the variables. Let's isolate y.
5y = 3x - 15
y = (3/5)*x - 3.
Then we have a linear equation.
Now, we can input different values of x, and see what value takes y in each case, then in this way we can be sure that the points will be on the line.
x = 0.
y = (3/5)*0 - 3
y = -3
Then we have the point (0, -3).
x = 1.
y = (3/5)*1 - 3 = 3/5 - 15/5 = -12/5
y = -12/5
Then we have the point (1, -12/5)
x = 5
y = (3/5)*5 - 3 = 3 - 3 = 0
y = 0
then we have the point (5, 0)
x = 10
y = (3/5)*10 - 3 = 6 - 3 = 3
y = 3
Then we have the point (10, 3).
Now we can create the table
[tex]\left[\begin{array}{ccc}x&y\\0&-3\\1&-12/5\\5&0\\10&3\end{array}\right][/tex]
Below you can see a graph, where the blue dots are our 4 points, and the green line is the line that represents the equation.
you find 38 coins than you find 41 more how many coins do YOU have?
Answer:
38+41=79
Step-by-step explanation:
i did the math
I know this is easy for yall but for me is not I need some help please I'm giving brainlist.
Answer:
about $2.99
Step-by-step explanation:
to find the amount of the discount you find 15% of $19.95
19.95 * .15 = 2.9925 which is about 2.99
Answer:
Give the otherperson brainliest pls and thank u
Step-by-step explanation:
find the lengths of the missing side . Simplify all radicals !!!
help mee!!!!!!
Answer:
[tex] e = 13\sqrt{2} [/tex]
[tex] f = 13\sqrt{2} [/tex]
Step-by-step explanation:
The ∆ given is an isosceles ∆ with a right angle measuring 90°, and two congruent angles measuring 45° each.
Using trigonometric ratio formula, we can find the lengths of the missing side as shown below:
Finding e:
[tex] sin(\theta) = \frac{opp}{hyp} [/tex]
[tex] sin(\theta) = sin(45) = \frac{\sqrt{2}}{2} [/tex]
hyp = 26
opp = e = ?
Plug in the values into the formula
[tex] \frac{\sqrt{2}}{2} = \frac{e}{26} [/tex]
Multiply both sides by 26
[tex] \frac{\sqrt{2}}{2}*26 = \frac{e}{26}*26 [/tex]
[tex] \frac{\sqrt{2}}{2}*26 = e [/tex]
[tex] \frac{\sqrt{2}}{1}*13 = e [/tex]
[tex] 13\sqrt{2} = e [/tex]
[tex] e = 13\sqrt{2} [/tex]
Since side e is of the same length with side f, therefore, the length of side f = [tex] 13\sqrt{2} [/tex]
Caleb is saving money to buy a bike next year. So far he has saved $150. Write an inequality to show how much he needs to
save each month for the next year so he has at least $800 to spend on the bike, then solve the inequality
Name the points which satisfy the conditions. The ordinate is zero.
9514 1404 393
Answer:
G
Step-by-step explanation:
The one point with a y-value of 0 is the one on the x-axis: G.
Ellie read an article claiming that 10% of people in her county were senior citizens, and she thought that it may be higher for residents in her city. She took a random sample of 225 people from her city and found that 36 of them were senior citizens. She wants to test H0:p=0.10 versus Ha:p > 0.10, where p is the proportion of people in her city that are senior citizens. Assuming that the conditions for inference have been met.
Required:
Calculate the test statistic for Ellie's significance test.
Answer:
The value is [tex]z = 3[/tex]
Step-by-step explanation:
From the question we are told that
The population proportion of senior citizens is [tex]p = 0.10[/tex]
The sample size is [tex]n = 225[/tex]
The number of senior citizens is k = 36
The null hypothesis is [tex]H_o : p = 0.10[/tex]
The alternative hypothesis is [tex]H_a : p > 0.10[/tex]
Generally the sample proportion is mathematically represented as
[tex]\^{p} = \frac{k}{n}[/tex]
=> [tex]\^{p} = \frac{ 36 }{225}[/tex]
=> [tex]\^{p} =0.16[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{\^{p} - p }{\sqrt{\frac{p(1 -p )}{n} } }[/tex]
=> [tex]z = \frac{0.16 - 0.10 }{\sqrt{\frac{p(1 -0.10)}{225} } }[/tex]
=> [tex]z = 3[/tex]
Answer:
P-value ≈ 0.0588
Step-by-step explanation:
Can you help me identify where I went wrong? I'm having trouble understanding this concept and I need to in order to understand what I will be learning next, thank you!
Step-by-step explanation:
Your work is correct. First, you graphed the region. The minimum or maximum is always at the corner, which you found to be (3.08, 3.64).
The value of C at this point is C = 14.
Suppose that you roll a die 8 times. What is the probability that you roll a six three or fewer times
Answer:
0.96
Step-by-step explanation:
Given that the a die is rolled 8 number of times.
[tex]n[/tex] = 8
Probability of getting a 6 on roll of a die, [tex]p=\frac{1}{6}[/tex]
Probability of not getting a 6 on roll of a die, [tex]q=1-p=1-\frac{1}{6}=\frac{5}{6}[/tex]
Probability of getting 6 three or fewer times:
[tex]P(r \le 3)=P(r=0)+P(r=1)+P(r=2)+P(r=3)[/tex]
Formula:
[tex]P(r=k)=_nC_k.p^k.q^{n-k}[/tex]
Putting the values using this formula:
[tex]P(r \le 3)=_8C_0.\frac{1}{6}^0.\frac{5}{6}^{8-0}+_8C_1.\frac{1}{6}^1.\frac{5}{6}^{8-1}+_8C_2.\frac{1}{6}^2.\frac{5}{6}^{8-2}+_8C_3.\frac{1}{6}^3.\frac{5}{6}^{8-3}\\\Rightarrow P(r \le 3)=1.\frac{5}{6}^{8}+8.\frac{1}{6}.\frac{5}{6}^{7}+28.\frac{1}{36}^2.\frac{5}{6}^{6}+56.\frac{1}{216}.\frac{5}{6}^{5}\\\Rightarrow P(r \le 3)=0.23+0.37+0.26+0.1=\bold{0.96}[/tex]
Explain how you can prove the difference of two cubes identity. a3 – b3 = (a – b)(a2 + ab + b2)
Answer:
Use the distributive property to multiply the factors on the right side of the equation.
Simplify the product by combining like terms.
Show that the right side of the equation can be written exactly the same as the left side.
Show that the right side of the equation simplifies to a cubed minus b cubed.
Step-by-step explanation:
The difference of two cubes identity a³ - b³ = (a - b)(a² + ab + b²) has been proved using; distributive property of algebra.
We want to prove that;
a³ - b³ = (a - b)(a² + ab + b²)
Now, to solve this we need to understand the distributive property of algebraic functions.This distributive property means distributing an item over others in a bracket. For example; a(b + c) = ab + acApplying this same distributive property to our question gives us;(a - b)(a² + ab + b²) = a(a² + ab + b²) - b(a² + ab + b²)
Multiplying out the brackets gives us;
a³ + a²b + ab² - a²b - ab² - b³
Like terms cancel out to give us;
a³ - b³.
This is same as the left hand side of our initial equation and thus it has been proved.
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Explain the phrase conservation of energy and provide an example.
Answer:
Conservation of energy, principle of physics according to which the energy of interacting bodies or particles in a closed system remains constant. ... For example, when a pendulum swings upward, kinetic energy is converted to potential energy.
Step-by-step explanation:
Mike invests $12,500 at 9% for a term of 12 years. What is the interest earned for his investment?
Answer:
$13.5
Step-by-step explanation:
l= P×R×T/100
I= 12,500×9×12/100
l= $13,5
The interest earned for his investment after 12 years is $13,500.
What is the simple interest?Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time.
Simple interest is calculated with the following formula: S.I. = (P × R × T)/100, where P = Principal, R = Rate of Interest in % per annum, and T = Time.
Given that, P=$12,500, rate of interest=9% and time period=12 years.
Here, simple interest = (12500×9×12)/100
= 1350000/100
= 13,500
So, the interest is $13,500
Therefore, the interest earned for his investment after 12 years is $13,500.
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pls help will give brainliest
Answer:
14 units
Step-by-step explanation:
Answer:
[tex]\sqrt{116[/tex] ( award branliest :) )
Step-by-step explanation:
When you insert both points into the distance formula which is
d = [tex]\sqrt{(x2-x1)^2+(y2-y1)^2}[/tex] you arrive at the final answer of [tex]\sqrt{116}[/tex]
. A snack bar is having a sale on hamburgers. At 9:00AM, the snack bar has sold 28 hamburgers. At 12:00PM, the snack bar discovers that it has sold 103 hamburgers. What is the average rate of change between 9:00AM and 12:00PM?
Answer:
75
Step-by-step explanation:
The average rate of change between 9:00 AM and 12:00 PM is 25 if a snack bar is having a sale on hamburgers. At 9:00 AM,
What is the rate of change?It is defined as the change in values of a dependent variable with respect to the independent variables.
It is given that:
A snack bar is having a sale on hamburgers. At 9:00 AM, the snack bar sold 28 hamburgers.
At 12:00 PM, the snack bar discovers that it has sold 103 hamburgers.
The average rate of change between 9:00 AM and 12:00 PM:
= (103 - 28)/(12 - 9)
= 75/3
= 25
Thus, the average rate of change between 9:00 AM and 12:00 PM is 25 if a snack bar is having a sale on hamburgers. At 9:00 AM,
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what is the sign number of the product -35 and -625 is what
Answer:
I think it is Positive."
Step-by-step explanation:
I am so sorry if it is not correct.
Good luck!
Benny has a basket of 5 red balls, 3 yellow balls, and 2 green balls. He will pick one
ball at random. What is the probability that the next ball he randomly chooses will be
red or green?
Type the answer in the box as a fraction in simplest form.
Answer:
7/11 green or red balls
Step-by-step explanation:
5 + 3 + 2 = 11 = whole basket
5 + 2 = 7 = red + green
probability = 7 / 11 balls
Hope this helps!
The probability that the next ball he randomly chooses will be red or green is 7/10
ProbabilityFrom the question, we are to determine the probability that the next ball Benny randomly chooses will be red or green
From the given information,
Benny has a basket of 5 red balls, 3 yellow balls, and 2 green balls
∴ Total number of possible outcome = 5 + 3 + 2 = 10
Now we will determine the probability of picking red
Using the formula,
[tex]P(A) = \frac{Number\ of\ favourable\ outcome\ to\ A}{Total\ number\ of\ favourable\ outcomes}[/tex]
∴ [tex]P(R) = \frac{5}{10}[/tex]
For the probability of picking green
[tex]P(G) = \frac{2}{10}[/tex]
Then, the probability of red or green is
∴ [tex]P(R \ or \ G) = \frac{5}{10} + \frac{2}{10}[/tex]
[tex]P(R \ or \ G) = \frac{7}{10}[/tex]
Hence, the probability that the next ball he randomly chooses will be red or green is 7/10
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ax+6=15 a is a negative, what must be true about x?
Answer:
x= 9/a
Step-by-step explanation:
I know 5his is easy for yall but for me is not I need some help please I'm giving brainlist.
Answer:
$2.99
Step-by-step explanation:
Given parameters:
Selling price = $19.95
Discount percentage = 15%
Unknown:
Amount of discount = ?
Solution:
To find the amount of discount, ;
Discount amount = discount percentage x selling price
Discount amount = [tex]\frac{15}{100}[/tex] x 19.95
Discount amount = $2.99
I need help ASAP please
Each batch makes 24 cookies. You make x batches of cookies, but eat 5 cookies as you are baking. Write an expression for the number of cookies that you have.
Answer:
24x-5
Step-by-step explanation:
x= number of batches
24x -5
5, 6, 7 8,? Plzzzzzzzz
Answer:
5. perpendicular
6. neither
7. parallel
8. perpendicular.
Step-by-step explanation:
i used the slope formula to compare them. it's easier than graphing if you want to be exactly sure of your answers
please view picture .....................
Answer:
B.
Step-by-step explanation:
What is the domain of the function in this table?
X | Y
1 | 2
2 | 4
3 | 3
4 | 2
CHIOCES:
A. (1, 2), (2, 4), (3, 3), 4,2)
B. {1,2,3,4}
C. (1,2)
D. {2,3,4}
PLEASE HELP URGENT
Answer: B. {1, 2, 3, 4}
Step-by-step explanation:
The domain is the set of input values (in other words, x values)