Answer:
-12-10i
Step-by-step explanation:
(-9 - 8i) - (3 + 2i)
First, remove parantheses.
-9-8i-3-2i
Combine like terms
-9-3-8i-2i
Solve it!
-12-10i
A triangle has an area of 160 square inches and the base of the
triangle is 40 inches. What is the height of the triangle?
Answer:
8 inches
Step-by-step explanation:
A=h /2
Solving for hb
hb= 2 A /b =2 × 160 /40 = 8 inch
( / means fraction line
A standard deck of playing cards has 13 cards in each of four suits: hearts, clubs, diamonds, and spades. Two cards are chosen from the deck at random. What is the probability of choosing one club and one spade?
Answer:
Probability of choosing one club and one spade = 0.6025
Step-by-step explanation:
Total number of cards= 52 cards
For the first event
Probability of choosing a club
Toatal club = 13 cards
Probability of choosing a club
= 13/52
Probability of choosing a club
= 1/4
Probability of choosing a club
=0.25
For the second event
Probability of choosing a spade
Toatal spade = 13 cards
Probability of choosing a spade
= 13/52
Probability of choosing spadep
= 1/4
Probability of choosing a spade = 0.25
Probability of both = 0.25*0.25
Probability of both = 0.6025
Answer:
D. 0.1275
Step-by-step explanation:
Justo took the Pre-Test on Edg (2020-2021)!!
Body Mass Index (BMI) is given by the formula BMI=705W/H2 , where W is the weight of a person in pounds, and H is their height, measured in inches. If a person is 6 feet 3 inches tall, and weighs 209 pounds, what is their BMI? Round your answer to the nearest tenth.
Answer:
BMI = 26.1
Step-by-step explanation:
The body mass index is given by the below formula as :
[tex]BMI=\dfrac{705\times W}{H^2}[/tex]
Here,
W is the weight of a person in pounds and H is height measured in inches.
If height of a person is 6 feet 3 inches, it means its height is 75 inches. Its weight is 209 pound.
So, plugging all values we get ,
[tex]BMI=\dfrac{705\times 209}{(75)^2}\\\\BMI=26.1[/tex]
So, the body mass index is 26.1.
Find the measure of arc YWX.
1350
650
Michael has a set of five cards shown below. Michael will randomly select a card, not replace it, and then select another card. What is the probability that he selects a prime number and then a 1? *
Step-by-step explanation:
The table is not given, but
The Probability that he selects a prime number = (number of prime number) ÷ (total number of all cards)
And
The probability of selecting a 1 = (total number of 1's)÷(total number of all numbers in the deck).
5/3
Step-by-step explanation:
take the 3 then add it again then you add 3 and get 5/3
Can u pls awnser the following :(
Answer:
25% is .25
75% is .75
20% is .2
100% is 1
37.5% is .375
62.5% is .625
87.5% is .875
12.5% is .125
Step-by-step explanation:
Remember DeeP
D. __. ____ P
Decimal. Percent
You move over two decimal places to the left if you want to convert 35%, which is .35.
You move over two decimal places to the right if you want to convert .45 which is 45%.
If you have 24 square tiles, how many different rectangles can you make? Each rectangle must use all of the tiles and have no holes or gaps. Sketch each rectangle and label its length and width.
Answer:
4
Step-by-step explanation:
A rectangle has a shorter side and a longer side.
The longer side is called the length and the shorter side is called width.
with the 24 tiles you can make the following rectangles (consider the first number the length and the second number the width, and that each unit represents a tile):
24 x 1
12 x 2
8 x 3
6 x 4
A total of 4 different rectangles.
I am not counting the rectangles than have the same sides shifted, for example 2 x 12 because it is the same as 12 x 2 and we are asked for the rectangles to be different.
I attache an image of the sketch of each rectangle with the labels of length and width (not to scale).
Enrique collected 7 more than 2 times as many recyclable bottles as Natasha. Write an expression for the number of bottles they collected altogether
Answer:
12
Step-by-step explanation:
because 7x2 is 12
Answer:
3n+7
Step-by-step explanation:
Let's say the variable n stands for how many recyclable bottles Natasha collected.
Enrique collected 7 more than double of what Natasha has.
SO
2n+7
We also need to include Natasha's share
(2n+7) + n
OR 3n+7
Kyle had 1/3 of a large pizza left. He wants to split it with his
best friend.
How much pizza will each get?
Natalie baked 20 cupcakes for a fundraising event at school. On the way to the event she dropped 35% of the cupcakes on the floor. What is the total number of cupcakes that natalie dropped?
Answer:
The total number of cupcakes that Natalie dropped is 7.
Step-by-step explanation:
This question can be solved using a rule of three.
The amount of cupcakes that she has, which is 20, is 100% = 1. How many cupcakes is 35% = 0.35?
20 cupcakes - 1
x cupcakes - 0.35
x = 20*0.35 = 7
The total number of cupcakes that Natalie dropped is 7.
In triangle ABC, c is the hypotenuse, 0=25 degrees, and b=3
Find the length of c
Answer:
c approximately equals 3.31
Step-by-step explanation:
Which expression is equivalent to 64 − 9x2?
Answer:
it is just 64-18=48
Step-by-step explanation:
you have to just keep 64 the same and do the 9*2. And sum those outcomes.
Secant TP and tangent TR intersect at point T Chord SR and chord PO intersect
at point V. Find the values of x and y. If necessary, round to the nearest tenth.
A
x=2
y=4
B. x= 11.6
y = 11.6
C.
X = 11.6
y = 232
D. x = 18.3
y=36.6
Answer:
(C)x=11.6, y=23.2
Step-by-step explanation:
Using Theorem of Intersecting Secant and Tangent
[tex]TQ$ X TP=TR^2[/tex]
[tex]10(10+x+4)=16^2\\10(14+x)=256\\140+10x=256\\10x=256-140\\10x=116\\$Divide both sides by 10\\x=11.6[/tex]
Next, we apply Theorem of Intersecting Chords
PV X VQ=SV X VR
4 X x= 2 X y
Recall: x=11.6
2y=4 X 11.6
2y=46.4
y=46.4/2=23.2
Therefore: x=11.6, y=23.2
The correct option is C
{(0, 2), (3, 3), (8, 7), (2, 2), (3,9) }
What is the domain and range for each set of ordered pairs
Hey!!!
Here's your answer:
Domain:{(0,2,3,8)}Range:{(2,3,7,9)}Hope it will help u.
have a great day .....Someone help me pleaseeeee
Answer:
36°.
Step-by-step explanation:
To find this, we will simply need to know that the sum of the angles of a triangle is 180°. This means that in order to find the measure of the third angle, we will need to subtract the others from 180°.
180 - 99 - 45 = 36°.
The measure of the third angle is 36°.
Fifteen of the 100 digital video recorders (DVRs) in an inventory are known to be defective. What is the probability you randomly select a DVR that is not defective? The probability is nothing.
Answer:
17/20Step-by-step explanation:
Fifteen of the 100 digital video recorders (DVRs) in an inventory are known to be defective, the total number of non-defective DVRs will be 100-15 = 85 DVRs.
If 85 DVRs are not defective, the probability that you randomly select a DVR that is not defective can be expressed as:
P(non-defective DVRs) = Total number of non-defective DVRs /Total DVRs
P(non-defective DVRs) = 85/100
P(non-defective DVRs) = 17/20
Answer:
0.85
Step-by-step explanation:
Given;
Number of defective DVRs D = 15
Total number of DVRs T = 100
Number of non defective DVR N = T - D = 100 - 15 = 85
The probability of selecting a non defective DVR P(N) is equal to the number of non defective DVR divided by the total number of DVRs.
P(N) = N/T
Substituting the values;
P(N) = 85/100
P(N) = 17/20 = 0.85
I need help with question number 3
Hey there! I'd be delighted to help you out!
First, let's write down our expression!
[tex](x^2-x)+(8x-2x^2)[/tex]
When we look at this expression, we see that all of the numbers are terms, or numbers that are added. We have four terms in this equation, which are:
[tex]x^2, -x, 8x, -2x^2[/tex]
Now, to simplify, we want to combine like terms. Like terms are numbers that have the same variable (or no variable) and are raised to the same power. 1 and 5 are like terms because they both have no variable and they are both raised to the power of 1 (any number that is itself is raised to this power). 4x and 12x are like terms because they both have an x and a power of 1. 4y and 5x are not like terms because they have different variables. 4x³ and 2x² are not like terms because they are raised to different powers.
Now, we see that with our numbers, x² and -2x² are like terms, and -x and 8x are also like terms. We can combine accordingly.
[tex]x^2-2x^2=-x^2\\\\-x+8x=7x[/tex]
Now we combine to get our simplified expression!
[tex]-x^2+7x[/tex]
I hope that this helps! Have a wonderful day!
A TV has a listed price of $788.99 before tax. If the sales tax rate is 8.75%, find the total cost of the TV with sales tax included. Round your answer to the nearest cent, as necessary.
Answer:
$858.02
Step-by-step explanation:
Take $788.99 times 8.75% = 69.03 this is the amount of tax
Add 788.99 and 69.03 = 858.02
Answer:
the answer would be $858.03
About how many times larger is 6.14 x 10-3 than 1.98 x 10-4?
Answer:
About 3.7 times or 4 times.
Step-by-step explanation:
6.14 x 10 - 3 = 61.4-3
61.4 - 3 = 58.4
1.98 x 10 - 4 = 19.8 - 4
19.8 - 4 = 15.8
58.4 ÷ 15.8 = 3.696202531645569620253164556962 ≈ 3.7 times
Find the solution set.
x2 + 16x + 64 = 0
Answer:
(x+8)(x+8)
Step-by-step explanation:
Assuming x2 is x^2
(x+8)(x+8) = x^2 + 16x + 64
Continuation
The Zeros Would Be
x = -8
Help me please help me thank you
Answer: 110, 35, 70, G, J, F, E, B, A, H, C, D, I
Step-by-step explanation:
8. For number 8, you will be using the exterior angle theorem. The exterior angle theorem states that the exterior angle equals the two angles inside the given triangle. Since we have 50 and 60, you will add 50 + 60 to get 110.
9. In this problem, you shall use the vertical angle theorem. The vertical angle theorem is simply that any angles vertical from one another are congruent. So a will be also 35 degrees.
10. This is an image depicting two lines cut by a transversal, creating multiple congruent angles. With this, you will be using the alternate interior angle theorem. Alternate interior angles are angles on different sides of the transversal but inside both of the lines that were cut into, as shown above. So, b will also equal 70 degrees.
Part B:
1. G
2. J
3. F
4. E
5. B
6. A
7. H
8. C
9. D
10. I
pls help me thanks :)
Answer:
2+2 is 4 quick math
Step-by-step explanation:
select the appropriate formula for the surface area of the given figure
Answer:
The answer is A
Step-by-step explanation:
This figure is a cylinder and the surface area formula of a cylinder is 2 pi rh + 2pi r^2
I need help ASAP, would really appreciate it, marking first as brainliest.
iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii
Answer:
A and B
Step-by-step explanation:
The lines are both in slope intercept form:
y=Mx+b
Where m is the slope and b is the y intercept.
We have 2 lines:
y=1/3x+3
y=1/3x-2
1/3 is the coefficient of x, which means the slope is 1/3. Both of these lines have the same slope of 1/3. Since they both have the same slope, they are also parallel lines.
Therefore, A: the same slopes and B: parallel lines is correct.
In the photo, the red line is 1/3x+3 and the blue like is 1/3x-2
Julie conducts an experiment to find the average word length in a book for a 4th grader and a book for a 8th grader. She finds that for the fourth grade book the mean word length is 5 letters with a range of 6 and for the 8th grade book the mean word length is 6 letters with a range of 9. Which statement is true?
A) On average, the book for the 4th grader has longer words.
B) There is not enough information to know if any of the above are true.
C) The word length varies more in the 8th grade book than the 4th grade book.
D) The longest word in the book for the 4th grader is longer than that in the 8th grade book.
Answer: C
Step-by-step explanation: I chose this answer because in 8th graders, their mean is 6 and their range is 9, that’s a difference of 3. But in 4th graders, their mean is 5 and their range is 6, so there isn’t much of a difference for 4th graders. The answer couldn’t be A, B, or D so I came to the conclusion that it’s C. (Sorry if this explanation doesn’t make sense but I hope I got the right answer.)
The true statement is the word length varies more in the 8th grade book than the 4th grade book.
Mean is a measure of central tendency. It is the average of a set of values. For example, if the numbers in a data set are 3,2,10, the mean is (3 + 2 + 10) /3 = 5
Range is the highest number less the least number in a data set. For example, if the numbers in a data set are 3,2,10, the range is 10 - 2 = 7
The mean word length for the fourth grade book is 5. While, the mean word length for the eighth grade book is 6. This means that on average, the average word length of the eighth grade book is greater than the mean word length for the fourth grade book
The range word length for the fourth grade book is 6. While, the range word length for the eighth grade book is 9. These means that either the longest word in the eighth grade book is more than that of the fourth grade book or that the smallest word in the eighth grade book is less than than that in the fourth grade book. This means that the word length varies more in the 8th grade book than the 4th grade book.
To learn more about mean, please check: https://brainly.com/question/12528427?referrer=searchResults
A pair of shoes usually sells for $60. If the shoes are 40% off, and sales tax is 5%, what is the total price of the shoes, including tax?
Answer:
$39
Step-by-step explanation:
We can solve this by finding 40% of $60 and the tax which is 5% of $60. We'll get 36 and 3. Add these up and you have an answer.
Have a great day!
Find the circumference of each circle.
Answer:The distance around a rectangle or a square is as you might remember called the perimeter. The distance around a circle on the other hand is called the circumference (c).
circle diameter radius
A line that is drawn straight through the midpoint of a circle and that has its end points on the circle border is called the diameter (d)
Half of the diameter, or the distance from the midpoint to the circle border, is called the radius of the circle (r).
The circumference of a circle is found using this formula: so the answer is B
Step-by-step explanation:
kaya has $25 left over after the football game she spent $17 for her ticket. She then bought a hat for $11 how much money did kaya bring to the football game
Gabriel started to calculate the area of the triangle. His work is shown. A = 1 2 bh = 1 2 ( 1 2 ) ( 3 4 ) A triangle has a base of three-fourths inch and a height of one-half inch.
Question:
Gabriel started to calculate the area of the triangle. His work is shown.
A = 1/2 bh=1/2 (1/2) (3/4)
A triangle has a base of three-fourths inch and a height of one-half inch
What is the area of the triangle?
The area of the triangle is ___in.²
Answer:
Area of the triangle = [tex] \frac{3}{16} inch^2 [/tex]
Step-by-step explanation:
We are given the dimensions of the triangle as:
Base, b = ¾ inch
Height, h= ½ inch
To find the area of the triangle, let's use the formula :
Area of a triangle = ½base *height
Solving further, we have:
Area of a triangle = [tex] \frac{1}{2}*\frac{3}{4} * \frac{1}{2} = \frac{3}{16} [/tex]
Area of the triangle = [tex] \frac{3}{16} inch^2 [/tex]
How many leaves on a tree diagram are needed to represent all possible
combinations tossing a coin 5 times?
A. 36
B. 16
C. 32
D. 10
Answer: C 32
Step-by-step explanation:
Answer:
C 32
Step-by-step explanation:
