Answer: Hi!
To solve this equation, we first distribute to the terms inside of the parentheses.
10*4 = 40
10*-3i = -30i
Our equation now looks like this:
40 - 30i
There is nothing left to simplify, so you're done!
Hope this helps!
What is a sufficient sample?
Answer:
A good maximum sample size is usually 10% as long as it does not exceed 1000. A good maximum sample size is usually around 10% of the population, as long as this does not exceed 1000. For example, in a population of 5000, 10% would be 500. In a population of 200,000, 10% would be 20,000.
Step-by-step explanation:
Mia's kitten weighs of 3/5 a pound. The mother cat weighs 14 times as many pounds as the kitten. How much does the mother cat weigh.
Answer:
8.4
Step-by-step explanation:
You must multiply 0.6 or 3/5 by 14. 6x14=84, but you must divide that by 10 which would give you a total answer of 8.4 pounds
The weight of the mother cat is 8[tex]\frac{2}{5}[/tex] pounds
The weight of the mother cat can be determined by multiplying the weight of the kitten by 14
Weight of the mother cat = weight of kitten x 14
[tex]\frac{3}{5}[/tex] x 14
= [tex]\frac{42}{5}[/tex]
Convert the improper fraction to a mixed fraction
[tex]\frac{42}{5} = 8\frac{2}{5}[/tex] pounds
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The direction angle of a vector is 135o. The x-component of the vector is -3. What is the y-component of this vector
Answer:
3
Step-by-step explanation:
the vector somewhat looks like this:
^
_\|_ the angle is 135 degrees, and the x component is -3
| To find the y component given the direction angle and x component, use the formula y_comp = tan(angle) * x_comp
tan (135 degrees) * -3 = 3
You can also use the graph and geometry, but that method is not recommended for beginners as it is very easy to make a mistake. The graph should be used to check if your answer makes sense.
help!! Will mark brainliest! Thank you
Answer:
34
Step-by-step explanation:
7y - 3x
7(4) - 3(-2)
28-(-6)
34
Create a real-world problem that represents 2/3 and 2/5.
Answer: Hi!
Sara had 2/3 of a piece of cake. Jasmine had 2/5 of a piece of cake. How much cake did Sarah and Jasmine have in total?
Hope this helps!
Answer:
If Kaylah had 2/5 of a pizza, and Allia had 2/3 of a pizza how much would they eat together?
I NEED URGENT HELP PLEASE
Answer:
x'9(3√y) is the correct answer.
-First apply the exponent multiplication rule of algebra
A student has money in three accounts that pay 5%, 7%, and 8%, in annual simple (i.e. compounded once per year) interest. She has three times as much invested at 8% as she does at 5%. If the total amount she has invested is $1600 and her interest for the year comes to $115, how much money does she have in each account
Answer:
Amount invested in account with 5% annual interest = $300
Amount invested in account with 7% annual interest = $400
Amount invested in account with 8% annual interest = $900
Step-by-step explanation:
Let the money invested in account with 5% annual interest = [tex]x[/tex]
As per question statement,
Money invested in account with 8% annual interest = [tex]3x[/tex]
Given that total amount invested in three accounts = $1600
So, Money invested in account with 7% annual interest = 1600- [tex]3x[/tex] -[tex]x[/tex] = 1600- [tex]4x[/tex]
For one year, the compound interest is same as that of Simple Interest.
Formula for simple interest is given as:
[tex]SI =\dfrac{PRT}{100}[/tex]
Where, P is the amount invested
R is the annual rate of interest
T is the time for which the amount is invested.
As per question statement:
[tex]\dfrac{x\times 5\times 1}{100}+\dfrac{(1600-4x)\times 7\times 1}{100}+\dfrac{3x\times 8\times 1}{100} =115\\\Rightarrow 5x\times +1600\times 7-28x+24x=11500\\\Rightarrow 29x-28x = 11500-11200\\\Rightarrow \bold{x =\$300}[/tex]
Amount invested in account with 5% annual interest = $300
Amount invested in account with 7% annual interest = $1600-$1200 = $400
Amount invested in account with 8% annual interest = $900
Please help meeee > THANK YOU!!!!!
Answer:
39. An adult male Western Banded Gecko is 5 1/2 (or 5.5) inches long.
41. 13,000 feet long, because 1 4/9 of 9,000 is 13,000.
43. to answer the question we need to know if 35 out of 50 states is equal or greater than 3/4 if that is the case, the Constitution will be ammended, and that is represented like this:
35/50 >= 3/4
that inequality is saying that 35 states out of 50 is equal or greater than 3/4, lets simplify and modify the fractions to compare easily:
35/50 >= 3/4
7/10 >= 3/4
now we need to find the least common multiplier of 10 and 4 to take the fractions to a common denominator and compare easy. Lets multiply numerator and denominator for a correct number to get the fractions to denominator common 20, the lcm:
7/10 >= 3/4
(2/2)(7/10) >= (5/5)(3/4)
2*7/2*10 >= 5*3/5*4
14/20 >= 15/20
we can see that the inequality does not hold, so,
35/50 >= 3/4
does not hold either, therefore the Constitution cannot be ammended
40. 10 students play chess and sudoku,
30*2/5 is 12, out of 12; the number of students that play chess,5/6 play sudoku.
So..12*5/6 is 10 and that is the number of students that play both sudoku and chess.
42. Four fifths of 7/8 will be less than 7/8 (because you've multiplied by a number less than 1).
Similarly, 7/8 of 4/5 will be less than 4/5.
This means that the product will be less than each of the original factors.
answer: no
44. The answer is 7/12 because 3/4 - 1/6= 7/12
3/4 converts to 9/12 and 1/6 converts to 2/12. The domanaters stay the same, but 9-2=7. that is how you get 7/12
Please solve these. Will rate you 5 star!
Answer: Hi!
To find the answer for question 24, we would first find the square root of 20 and 5. The square root of 20 is about 4.47 (I used a calculator for convenience) and the square root of 5 is about 2.24. Now we need to add these:
4.47 + 2.24 = 6.71
Now we divide 30 by this:
30/6.71 = 4.47
Now, we'll evaluate the answer choices.
a) is equal to 1.49
b) is equal to 13.4
c) is equal to 4.47
d) is equal to 26.88
The answer choice that is correct is c, because it is what we got for the problem that we were supposed to solve in the beginning.
Hope this helps!
Write the quotient 7+5i÷1-4i in standard form.
Answer:
7+i
Step-by-step explanation:
(7+5i)/1-4i = 7+i
Answer:
[tex]-\frac{13}{17} + \frac{33}{17} i[/tex]
Step-by-step explanation:
(see attached)
If tan fº = 2/1 and the measure of yw is 8 units, what is the measure of xw?
2units
4units
7units
8 units
*see attachment for the figure referred to
Answer:
4 units
Step-by-step explanation:
Given that [tex] tan(f) = \frac{2}{1} [/tex], therefore, it follows that:
[tex] tan(f) = \frac{opp}{adjacent} = \frac{YW}{XW} = \frac{8}{XW} [/tex],
If the ratio of YW to XW = 2:1, therefore, [tex] \frac{2}{1} = \frac{8}{XW} [/tex]
Cross multiply to find XW
[tex] XW*2 = 8*1 [/tex]
[tex] XW = \frac{8}{2} = 4 units[/tex]
Answer:
the answer is B
Step-by-step explanation:
I took the test and got it right
Plz Help ASAP WILL MARK YOU BRAINLIEST
Answer: D
Step-by-step explanation:
It is D because it forms a right angle. perpendicular lines must form a right angle so it is D.
Answer:
D.
Step-by-step explanation:
The 2 lines that cross form a 90 degree angle, therefore it is perpendicular.
what is the answer for b
[tex]2(b - 3)[/tex]
Answer:
B
Step-by-step explanation:
Answer:
2b-6
Step-by-step explanation:
[tex]2(b-3)\\\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b-c\right)=ab-ac\\a=2,\:b=b,\:c=3\\=2b-2\times \:3\\=2b-6[/tex]
What is The equation of the line that passes through the point (4,8) and has a slope of 0
Answer:
y = 8
Step-by-step explanation:
Plug in the point and slope into the equation y = mx + b to solve for b:
8 = 0(4) + b
8 = b
Then, plug this back into the equation:
y = 0x + 8
y = 8 will be the equation
Answer: y=8
Step-by-step explanation:
concept to know: when it is a horizontal line, the slope is zero, when it is a vertical line, the slope is undefined.
---------------------
If it is required to have a slope of 0, then it is a horizontal line.
y=b (this is the equation for some line that slope is 0)
We then should find the b, or the y-intercept
The question did not provide us with a point of y-intercept, BUT since it is a horizontal line, the y value of any point is the same, including y-intercept (when x value is 0)
Therefore, the y-intercept will be (0, 8), and the equation will be
y=8
The angle of elevation to the sun is 24°. What is the length of the shadow cast by a person 1.82 m tall? A. 0.81 m B. 1.99 m C. 4.09 m D. 4.47 m
Answer:
C. 4.09 m
Step-by-step explanation:
Let the length of the shadow cast by a person be x m.
[tex] \tan \: 24 \degree = \frac{height \: of \: person}{length \: of \: the \: shadow} \\ \\ 0.4452286853 = \frac{1.82}{x} \\ \\ x = \frac{1.82}{0.4452286853} \\ \\ x = 4.08778693 \: m \\ x = 4.09 \: m[/tex]
The length of the shadow cast by a person 1.82m tall is 4.99m.
What is the angle of elevation?The angle of elevation is an angle a person's sight is making with the object if he stands in the front of an object.
How to determine the length of the shadow casted?We have been given that the angle of elevation to the sun is 24 degree and the person is 1.82m tall. Then the length of the shadow will be:
tan(24)=1.82/length of the shadow
0.445286853=1.82/length of the shadow
length of the shadow=4.087
=4.09 (approx)
Hence the length of the shadow cast by a person 1.82m tall is 4.09m if the angle of elevation to the sun is 24 degrees.
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Solve. And Explain. r/9 = -4
Answer:
Step-by-step explanation:
r/9 = -4
then multiply 9 to -4 which equals -36
at last, r is equal to -36
So you need to have the variables on one side and the constants on another.
Since r is divided by 9 on the left side, you have to get rid of the 9 by multiplying. r/9 times 9 equals r, and -4 times 9 equals -36.
So r = -36
Hope this helped!
square root of -19 in terms of i
Answer:
i√19
Step-by-step explanation:
Because √(-19) = √(-1)√19, and because √(-1) = i, we get i√19
Which statement is true? Question 3 options: 0 is a natural number -9 is a whole number 4.6 is a rational number 81−−√ is an irrational number
Answer:
the true statement, 0 is a natural number
What is 7/8w=14 and how do you solve it?
Answer:
w = 16
Step-by-step explanation:
7/8 *w = 14
Multiply each side by 8/7
8/7 *7/8 *w = 14*8/7
w = 14/7*8
w = 2*8
w = 16
Answer:
w = 16
Step-by-step explanation:
7 / 8w = 14
multiply both sides by 8:
8 * (7/8w) = 14 * 8
simplify
7w = 112
w = 112 / 7
w = 16
Given that (y+2), (y+3)and (2y^2+1) are consecutive terms of an arithmetic progression find the value of x
Answer:
In an arithmetic sequence, the difference between any consecutive terms should be always the same, then we have:
(y + 3) - (y + 2) = D
(2*y^2 + 1) - (y + 3) = D.
From the first equation, we can find the value of D:
y + 3 - y - 2 = D
1 = D.
Replacing this in the second equation, we have:
(2*y^2 + 1) - (y + 3) = 1
Now we can solve this equation:
2*y^2 + 1 - y - 3 - 1 = 0
2*y^2 - y - 3 = 0.
The solutions of this quadratic equation can be found with the Bhaskara's equation:
[tex]y = \frac{1 +- \sqrt{1^2 - 4*2*(-3)} }{2*2} = \frac{1+-\sqrt{25} }{4} = \frac{1+-5}{4}[/tex]
Then the possible values of y are:
y = (1 + 5)/4 = 6/4
y = (1 - 5)/4 = -1
in the class of 40 students,18 passed mathematics,19 passed account,16 passed economics,5 passed mathematics and accounts only ,2 passed accounts and economics only. if each student offered at least one of the subject
a: how many students failed in all the subjects
b: find the percentage number who failed in at least one of economics and mathematics
C: calculate the probability that a student selected at random failed in accounts..
Answer:
A) 4 students
B) 32.5%
C) 19/40
Step-by-step explanation:
Using set notation to solve the problem with universal set n(U) = 40
Let n(A) be the number of students that pass account
n(E) be the number of students that pass economics
n(M) be the number of students that pass mathematics
n(AUEUM)' be number of students that failed in all the 3 subjects.
n(AUEUM) be number of students that pass in all the 3 subjects.
n(U) = n(AUEUM)+ n(AUEUM)'
Find the remaining solution in the attachment
PLZZ ANSWER ASAP PLZZZ HELP MEEE
___________________________________
Answer: There is no answer because this is a multi step question.
___________________________________
Step-by-step explanation:
A singular unit in this problem can be found by doing 25.00/2.
This is 12.50. You then use this to answer all the questions.
1.A) She earns 12.50 per hour.
1.B) (Idk if this is right but I'm answering the question) Kate will never have more then Jocelynn if they work the same amount of hours because Jocelynn is simply paid more.
Joan saved $2.34 on an item that is usually $7.89. What percent did she save
hi:) I need help with 11(a) , thanks!:))
Answer:
18.95
Step-by-step explanation:
ln 2 x ln (4x) = 3
ln 4x = = 3 / ln 2
ln4x = 3 / 0.69315 = 4.3281
4x = e^4.328 = 75.80
x = 18.95.
What is the distance between 4.5 and - 3.75
Which statement is true about the end behavior of the function represented by the graph?
As x approaches 1, f(x) approaches 25.
As x approaches −∞, f(x) approaches −∞, and as x approaches ∞, f(x) approaches −∞.
As x approaches −∞, f(x) approaches −4, and as x approaches ∞, f(x) approaches 7.
As x approaches −∞, f(x) approaches −∞, and as x approaches ∞, f(x) approaches ∞.
End behavior always involves x approaching positive and negative infinity. So we'll cross off the choice that says "x approaches 1".
The graphs shows both endpoints going down forever. So both endpoints are going to negative infinity regardless if x goes to either infinity.
Answer: Choice BAs x approaches −∞, f(x) approaches −∞, and as x approaches ∞, f(x) approaches −∞.Another way to phrase this would be to say "f(x) approaches negative infinity when x goes to either positive or negative infinity"
End behavior always involves x approaching positive and negative infinity. So we'll cross off the choice that says "x approaches 1".
The graphs shows both endpoints going down forever. So both endpoints are going to negative infinity regardless if x goes to either infinity. (Option B)
What is end behavior in graphs?End behavior refers to the behavior of a graph as the x-values approach positive or negative infinity.
It describes how the graph behaves at the far left and far right ends.
End behavior can be categorized as increasing or decreasing, and it helps understand the long-term trend or direction of the graph.
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Which angle measures are correct? Select three options,
OmZX= 55°
OmZW = 125°
OmZW = 55°
mZZ = 125°
mZZ = 55°
PLEASE ANSWER FAST TIMED TEST
Answer:
m∠W = 125°
m∠X = 55°
m∠Z = 55°
Step-by-step explanation:
The shape is parallelogram WXYZ. m∠Y = 125.
A parallelogram is a quadrilateral shape in which both opposite sides and opposite angles are equal to each other. The diagonals of a parallelogram bisect each other. Also consecutive angles in a parallelogram are supplementary.
Therefore in parallelogram WXYZ:
m∠Z + m∠Y = 180° (Consecutive angles in a parallelogram are supplementary)
m∠Z + 125 = 180
m∠Z = 180 - 125
m∠Z = 55°
m∠W = m∠Y (Opposite angles are equal)
m∠W = 125°
m∠W + m∠X = 180° (Consecutive angles in a parallelogram are supplementary)
m∠X + 125 = 180
m∠X = 180 - 125
m∠X = 55°
Name any two special cases of quadrilaterals, which can be constructed by knowing less than five
measurements.
Well when you take x*5 and put that into a glizzy then you swallow it whole the answer will come out to about answer B
Answer:
Below.
Step-by-step explanation:
1. You can construct a square knowing only 1 measurement, the length of each side.
2. Also a rectangle can be constructed only knowing 2 measurements: the length and the width.
Hello. I really need some help here. EASY math. Can you guys explain how to convert negative fractions and mixed numbers to decimals? That would be VERY helpful. Thank you! : )
Answer:
use a calculator
Answer:
Step-by-step explanation:
For example, if you had 2 3/4, you would change the mixed number into an improper fraction. That would equal 11/4 (4 times 2 is 8 and 8 + 3 is 11). Then, you would divide 11 by 4, which equals 2.75 (2 and 75 hundredths).
For negative fractions, you would take the numerator divided by the denominator (3/4= 3 divided by 4= 0.75). You would then put the negative sign in front of the decimal.
Joe bought a box of laundry detergent that contains 195 scoops. Each load of laundry
2 scoops. How many loads of laundry can he do with this one box? The box of
detergent was $19.99. How much is he paying for each load that he washes?
uses
Answer:
at least 97 loads
Step-by-step explanation: