Answer:
Union
Step-by-step explanation:
The UNION of two or more sets is the set that contains all elements of the set.
You were 20 inches tall at birth, and 65 inches tall on your 10th birthday. Create a linear equation to
represent this situation. According to your equation, how tall will you be at age 20?
show all the workings
Answer:
[tex]y=4.5t+20\\\\t=20\\y=4.5*20+20\\y=90+20\\y=110[/tex]
Step-by-step explanation:
So when t=0 in the first equation y=20 which is the length as you are just born. How I calculate 4.5 is that I assume:
y=xt+20
for t=10 we have y=65
65=10x+20
10x=45
x=4.5
the equation becomes y=4.5t+20.
Given: △ABC, D ∈ ray BC
C ∈ BD, AB=AC=BC
Prove: BD>DA>AB
Answer:
BD>DA>AB
Step-by-step explanation:
Since ACB = 60, ACD = 120. Since ACD>ACB then DA is greater than AB. Then we can see that AC + DC has to be greater than DA because of triangle property theorem. That's the same as BC + CD by transitivity and BC + CD is BD by PWP. That means that BD > DA. Since we know that BD > DA, we can say, BD > DA > AB.
Please please help me!!!!!
Answer:
x=80
Step-by-step explanation:
This is really simple especially since you have a right triangle, you can easily determine x using trigonometry.
The cosine of an angle in a right triangle is defined by it's adjacent side divided by the hypotenuse.
[tex] \cos(50) = \frac{51}{x} [/tex]
The angle in question is 50, the hypotenuse is the side facing the 90° angle and the adjacent side is the one next to it.
By cross multiplication i can rewrite this as:
[tex]x = \frac{51}{ \cos(50) } [/tex]
[tex]x = \frac{51}{0.64278} [/tex]
[tex]x = 79.34[/tex]
Round to the nearest ten
[tex]x = 80[/tex]
Cherries cost $5.68 a pound. Will $20 be enough to buy a 4.1-pound bag of cherries? Explain how to determine whether $20 is the correct estimate of the product of $5.68(4.1).
Answer: No
Step-by-step explanation:
Cherries costs $5.68 per pound so to find the price of 4.1 pounds, multiply them both together.
$5.68 x 4.1 lb. = $23.3
It costs about $23.3 to purchase 4.1 pounds so you can not buy it with $20.
Answer:
The $20 estimate is too low. $5.68 was incorrectly rounded down; it should have been rounded up to $6. The correct estimate should have been $24, so $20 will not be enough to buy 4.1 pounds of cherries
Step-by-step explanation:
There are 4 adults chaperones for every 15 students who attend a school field trip. If there are 135 students, how many adults would be there on the field trip.
Answer:13
Step-by-step explanation:pretty sure u divide 135 by 15
What is a independent
Answer:
Yo
Free from outside control; not subject to another's authority.
Hope it helps you....
The result of RREF produced the following matrix. What is the solution of the
system? Choose the best answer.
1 0 3 0
0 1 0 5
0 0 0 1
The following RREF matrix has infinite many solutions.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
From the matrix, we can get the following equations:
x + 3z = 0 (1)
y = 5 (2)
And:
0(x) + (0)y + 0(z) = 1
0 ≠ 1 (3)
From equation 3, we can see that the following RREF matrix has infinite many solutions
Find out more on equation at: https://brainly.com/question/2972832
-6(y+15) = -3 + 6
What value of y makes the equation true?
Answer:
Step-by-step explanation:
y+15 = (-3)/(-6) + 6/(-6)
y+15 = 1/2 -1
y+15 = -1/2
y = -15.5
Question 10 of 10
Which method for calculating a credit card balance takes into account both
the purchases and the payments made during the current billing cycle?
A. Subsequent Balance Method
B. Previous Balance Method
C. Average Daily Balance Method
D. Adjusted Balance Method
Answer:
The Adjusted Balance Method
Step-by-step explanation:
The Adjusted Balance method calculates finance charges on monies owed at the end of the billing cycle after all transactions, including debits and credits have been posted to the account which include both the purchase and the payment made during the billing cycle.
It usually results in lower finance costs for the consumer because interest is calculated on the final amount instead of day to day.
A rectangle on a coordinate plane is translated 5 units up and 3 units to the left. Which rule describes the translation?
(x, y) → (x + 5, y – 3)
(x, y) → (x + 5, y + 3)
(x, y) → (x – 3, y + 5)
(x, y) → (x + 3, y + 5)
Answer:
(x, y) → (x – 3, y + 5)
Step-by-step explanation:
If you move up or down, it affects the y coordinate and going up is positive so 5 units up is y + 5 and if moving left or right affects the x coordinate and moving left is negative so x - 3
"5 units up" would be "5 added to the current y-value".
"3 units to the left" would be "3 subtracted from the current x-value".
So, the translation rule is: (x, y) → (x – 3, y + 5)
~Lenvy~
What is 3x + 4 (−x − 5) when x = 5?
A −25
B −10
C 15
D 55
Answer:
A. -25
Step-by-step explanation:
3x + 4 (-x - 5)
3x + 4 (-10)
15+4(-10)
15 + (-40)= -25
Hannah was getting ready for a party. It took her 24 minutes to pack her toys to bring and 16 minutes to have lunch. If she was ready to leave at 4:42 p.m., what time did she start getting ready? (4 points)
a
3:02 p.m.
b
4:02 p.m.
c
4:12 p.m.
d
5:12 p.m.
Answer:
b. 4:02 p.m.
Step-by-step explanation:
24 + 16 = 40
4:42 - 40 minutes = 4:02
Answer:
4:02
Step-by-step explanation:
Because add 24 + 16 = 40 and then subtract 40 from 42 and then get your answer.
Solve for x =2.4x + 3.4=15.4
Answer :
5Explanation :
[tex]\longrightarrow \qquad \sf{2.4x + 3.4=15.4}[/tex]
Subracting 3.4 from both sides we get :
[tex]{\longrightarrow \qquad \sf{2.4x + 3.4 - 3.4=15.4 - 3.4}}[/tex]
[tex]\longrightarrow \qquad \sf{2.4x =12}[/tex]
Dividing 2.4 from both sides we get :
[tex]\longrightarrow \qquad \sf{ \dfrac{2.4x}{2.4} = \dfrac{12}{2.4} }[/tex]
[tex]\longrightarrow \qquad \sf{ \dfrac{ \cancel{2.4} \: x}{ \cancel{2.4}} = 5 }[/tex]
[tex]\longrightarrow \qquad \bf{x = 5 } [/tex]
Therefore,
The value of x is 5.Answer:
x = 5
Step-by-step explanation:
[tex]\mathrm{Multiply\:both\:sides\:by\:}10[/tex]
[tex]2.4x\cdot \:10+3.4\cdot \:10=15.4\cdot \:10[/tex]
[tex]\mathrm{Refine}[/tex]
[tex]24x+34=154[/tex]
[tex]\mathrm{Subtract\:}34\mathrm{\:from\:both\:sides}[/tex]
[tex]24x+34-34=154-34[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]24x=120[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}24[/tex]
[tex]\frac{24x}{24}=\frac{120}{24}[/tex]
x = 5
~Learn with Lenvy~
How do you do this question?
Step-by-step explanation:
aₙ = ⁿ√(3⁸⁺³ⁿ)
aₙ = (3⁸⁺³ⁿ)^(¹/ₙ)
aₙ = 3^(8/n + 3)
aₙ = 3^(8/n) 3^3
aₙ = 27 · 3^(8/n)
lim(n→∞) aₙ
lim(n→∞) 27 · 3^(8/n)
27 · 3^(8/∞)
27 · 3⁰
27
29 characters here you go
The Correct choice is ~
[tex]y = - 3x - 1[/tex]
Well, I will explain it if you want but I'm in hurry, so please bear with it ! but I assure you that the answer is correct !
Answer:
[tex]\mathsf{y=-3x-1}[/tex]
Step-by-step explanation:
[tex]\mathsf{(x_1,y_1)=(-1,2)}\\\\\mathsf{(x_2,y_2)=(1,-4)}[/tex]
[tex]\mathsf{slope \ (m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-4-2}{1+1}=-3}[/tex]
[tex]\mathsf{y-y_1=m(x-x_1)}[/tex]
[tex]\mathsf{y-2=-3(x+1)}[/tex]
[tex]\mathsf{y=-3x-1}[/tex]
Determine the translation.
Use non-negative numbers.
A translation by
units to the
right/left
and
units up/down
HELP PLEASE!!!***
Answer:
(X+4,Y+2) Or 4 units to the right, 2 units up.
Step-by-step explanation:
Count the units, remember X axis always goes first
Find the equation of the line perpendicular to y=−2 that passes through the point (4, −2).
QUICKLY PLEASE
Answer:
x = 4
Step-by-step explanation:
y = - 2 is the equation of a horizontal line parallel to the x- axis.
A perpendicular line is therefore a vertical line parallel to the y- axis with equation
x = c
where c is the value of the x- coordinates the line passes through.
The line passes through (4, - 2 ) with x- coordinate 4 , thus
x = 4 ← equation of perpendicular line
pls help i appreciate it!
3 3/4
Step-by-step explanation:
Minus a half on both sides to get h on it's own
3x4 +1=13
13/4 + 1/2
Multiply 1/2 by 2 to get 2/4 & add the top only
13+2=15
So, we've got 15/4, simplify to get 3 whole number and 3/4.
3 3/4
Hope this helps!
Ken is making trail mix for his next hiking club meeting. He mixes 2 pounds of peanuts, 2
pounds of raisins, and 1 pound of chocolate chips. His little sister begs him for a snack, so he
gives her 5 ounces of the trail mix. Then, he portions out the rest for his meeting. If Ken
splits the remaining trail mix evenly among 25 snack bags, how many ounces of trail mix will
each bag have?
ounces
Answer:
3 ounces of trail mix per bag
Step-by-step explanation:
1 pound = 16 ounces
2 pounds of peanuts
2 pounds of raisins
+ 1 pound of chocolate chips
= 5 pounds of trail mix
[tex]5(16) = 80[/tex]
5 pounds = 80 ounces of trail mix
80 - 5 (for Ken's sister) = 75 ounces
75 ÷ 25 = 3 ounces
Hope this helps~!
what is the missing number 5/9 = 10/
Answer:
10/18Step-by-step explanation:
5/9 = 10/18 because...
5 times 2 = 10
9 times 2 = 18
Hope this helps! <3
Answer:
what the other dude said.
Step-by-step explanation:
Which statement is true about y = arctanx?
The domain is (-pi/2,pi/2)
The range is all real numbers.
The graph contains vertical asymptotes.
The graph is symmetric about the origin.
Answer:
D. The graph is symmetric about the origin.
Step-by-step explanation:
got it right on edge :)
The correct option is Option D: The graph is symmetric about origin.
What is the arctan function?The function f(x) = arctan x is the inverse of tangent function y=tanx.
Checking all the options
Option A: This option is incorrect as the domain of arctan x is real number R i.e. (-∞,∞). arctan x is valid for all values of x between -∞ to ∞.
Option B: This option is incorrect as the range of the function arctan x is (-π/2, π/2) which is the restricted domain of the tan x.
Option C: This option is incorrect as the graph is continuous in R and also bounded in (-π/2, π/2) so it has no vertical asymptotes. But tan x has vertical asymptotes.
Option D: This option is correct as from the graph it is also clear that this function arctan x is symmetric about the origin. Also, function arctan x is an odd function. As odd functions are symmetric about origin, arctan x is symmetric about the origin.
Therefore The correct option is Option D: The graph is symmetric about origin.
Learn more about arctan x
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Which decimal number is NOT between the two decimal numbers on the
number line?
6.
0.542
0.611
A
0.54
B
0.6
с
0.604
Answer:
A, .54
Step-by-step explanation:
The number line ranges from .542 up until .611, giving you three options below. For .6, it can be translated into .600 which is in bounds of the number line. Next for .604, it is still in bounds of the number line. For .54 it would be translated to .540 which is not in bounds, being before .542.
In an If condition, first an IF is required to test an initial expression. Optionally, we can also add additional ELIF statements to test additional expressions if the initial IF statement fails. Question: What statement can be used at the end of an IF condition to catch if all previous expressions fail
Answer:
The block of code inside the if statement is executed is the condition evaluates to true.
Step-by-step explanation:
What is the sign of y.
0
Choose 1 answer:
Positive
Negative
Zero
Answer:
Negative.
Any negative number times a positive is always negative.
A bag contains four colors of marbles. The probability of randomly drawing out a red marble is 21%.
What is the probability of not drawing a red marble?
Enter the answer in the box.
Probability of not drawing a red marble = %
Answer:
hello
What is the probability of not drawing a red marble
= 1 - 0.21 = 0 .79
Step-by-step explanation:
(Please answer both parts) Part A
Mary's house cost $500, 000 in the year 2010.
In 2020 she sold it for $900, 000.
Was the change in price an increase or decrease?
Answer:
Part B
What was the percent of change in the price of the house?
Answer:
Answer:
Part A: It was an increase.
Part B:80%
Step-by-step explanation:
First, state the info of the problem
Cost Price(CP):$500,000
Selling Price(SP):$900,000
Part A Solution
The SP is higher than the CP so there is a price increase
$900,000>$500,000
Part B Solution
Find price change
Price change equals SP-CP
$900,000-$500,000 equal to $400,000
State CP percent so it will later help in finding percent of price change
CP percent:100%(basic percent for the original cost of item,CP percent is basically 100%)
Cross multiply by comparing amount with percent
So if $500,000 equals 100%
∴$400,000 equals ?(can be represented by variable "x")
Cross-multiplying, we get
$500,000x equals 100%×$400,000(dividing both sides by $500,000)
x equals (400/5)% which further equals 80%
∴The percent of change for the house price was 80%
To confirm
If there was a price increase(Profit),the SP equals CP plus P
SP equals 100% plus 80%:180% ∴SP equals 180%
If 100% equals $500,000
∴180% equals x which is $900,000 after cross-multiplying.
Hope all confusion is now cleared.
In art class, Ernest is attaching strings to puppets to make marionettes. For each puppet, he
ties 6 inches of string to the head and 9 inches of string to each of the 2 arms. If he has a
total of 5 puppets, how many feet of string does he use in all?
feet
Answer:
he will use 10 each for the feet
Represent 3200 divided by 100 in three different ways and simplify.
The answer of 3200 divided by 100 by three different ways is 32.
What is simplification?
Simplification generally means finding an answer for the complex calculation that may involve numbers on division, multiplication, square roots, cube roots, plus and minus.
Now the given division is, 3200 divided by 100.
Since we know that division can be represented in three different way that is,
a) Factoring
b) Long division
c) Synthetic division
So,
a) Factoring 3200 divided by 100 we get,
(2x2x2x2x2x2x2x5x5)/(2x2x5x5)
= 2x2x2x2x2
= 32
b) Long division 3200 divided by 100
32
100| 3200
- 300
200
- 200
000
So,Quotient is 32
remainder is 0.
c) Synthetic division 3200 divided by 100
Let x = 100
Therefore, 3200 = 32x
now to divide 32x/x syntehtic division is given as,
1 | 32
1
Hence 32x/x by synthetic division we get 32 R 0.
Therefore, the required answer is 32.
More about Division :
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ILL GIVE YOU ALL MY POINTS FOR THIS EASY QUESTION!!!!!!
Solve the formula for the red variable.
The Surface Area of Cylinder:
Red Varible: h
[tex]S=2\pi \:r^2+2\pi rh[/tex]
Answer:
h = (S- 2πr²)/(2πr)Step-by-step explanation:
Given
Formula S = 2πr² + 2πrhSolve for h
S = 2πr² + 2πrh2πrh = S - 2πr²h = (S- 2πr²)/(2πr)A fireplace arch is to be constructed in the form of a semi ellipse. The opening is to have the height of 1 foot at the center and a width of 6 feet along the base. The contractor cuts a string of a certain length and nails each end of the string at the foci of the base in order to sketch the outline of the semi ellipse. What is the total length of the string?
Answer:
6 feet.
Step-by-step explanation:
Remember that the foci of the semi-ellipse are two points in the base of the semi-ellipse from where you can create the full perimeter of the semi-ellipse, basically form there you can sketch it. And the sum of both to the same spot in the perimeter always adds up to the same number.
To calculate it you just need to remember that the major axis is always equal to that rope that you use to draw the semi-ellipse and since the major axis is the same as the base the rope will be 6 feet.