Answer:
Tom sits in the middle and he is 18
Step-by-step explanation:
On the table you will first mark off Tom from being in the rear, as well as being 19
You will mark off Tom and Roy from the 1st, which places Davis as 1st, you also know that Tom is neither 1st nor last, so he is in the middle.
Now you see that Roy is neither in the 1st nor middle, so he is last.
Last is also the 20 yr old, so Roy is 20yrs and last seat.
Tom is neither 19 or 20.
So Tom is in the middle and 18yrs old
Find the domain and range.
Answer:
Domain is all real #s
Range is (-∞, 4] or y < 4
Step-by-step explanation:
PLEASE HELP ME WITH THIS!!
Otis measured the heights of several sunflowers. He found that their heights were 1, 4, 6, 9, and 10 feet. Otis found that the mean was 6 feet and the range was 9 feet. Which numbers describe the center and spread of this data set?
Answer: 6 feet describes the center, and 9 feet describes the spread
Step-by-step explanation:
The center of a data set is mostly considered as the median or the mean
Here mean is 6 (given). And median is also 6. As 6 is exactly at the middle of the data set. (When arranged in ascending order)
Now, one of the way of calculating the spread is calculating the range, here it's given that the range is 9.
Therefore, 6 feet describes the center, and 9 feet describes the spread is correct.
Volume of rectangle and triangle problem. The one that has no answer
Answer:
6825 in^3
Step-by-step explanation:
First break the shape into two shapes a square prism and triangular prism
the volume of a square prism is equal to s^2 * h
and the volume of a triangular prism is 1/2 b * l *h
square prism:
v = s^2 * h
v = 13^2 * 30
v = 5070 in^3
triangular prism:
v = 1/2 b * l * h
v = 1/2 * 9 * 30 * 13
v = 1755 in^3
then you add the two volumes to get the total volume
5070 + 1755 = 6825 in^3
what is 2.5 in a fraction?
Answer: 5/2
To convert 2.5 into a fraction, firstly we will write the number in x/y form, where x and y are positive integers. So, 2.5 can be written as 2.5/1. For the removal of the decimal, we multiply and divide by 10. And we get, 2.5/1 x 10/10 = 25/10 = 5/2.
Kim is earning money for a trip. She has saved $60 and she earns $10 per hour babysitting. The total amount of money earned
(y) after (x) number of hours worked is given by the equation y = 10x + 60.
How many hours will she need to work in order to earn $300 for her trip?
Answer:
x=24
Step-by-step explanation:
you need 300.
10x + 60?
10 x 3 = 300
300 - 60 = 240
300 = (10 x 24) + 60
A
Angle ABC Is a right angle.
The measure of angle
DBC is 55°.
The measure of angle ABD Is x
55°
What is the value of x?
B
Answer:
25
Step-by-step explanation:
ABC is a right angle so ABD and DBC are complementary angles and their sum is equal to 90:
x + 55 = 90 subtract 55 from both sides
x = 25
A student incorrectly determined that the length of DE is 29 cm explaining that 12-7 = 5 and 36-7 = 29 explain what mistake the student may have made and why this is not correct way to determine the length of a DE what is the actual length of DE
Answer:
The length of the hypotenuse ≈ 39.7 cm
Explanation:
Since the given triangle is a right-angled triangle, this means that we can apply the Pythagorean theorem.
The equation for Pythagorean calculation is:
(hypotenuse)² = (first leg)² + (second leg)²
In the given, we have:
first leg = 30 cm
second leg = 26 cm
Substitute with the givens in the above equation to get the hypotenuse as follows:
(hypotenuse)² = (30)² + (26)²
(hypotenuse)² = 1576
This means that:
either hypotenuse = √1576 = 39.69 ≈ 39.7 cm ..........> accepted
or hypotenuse = -√1576 = -39.69 ......> rejected as length can't be negative
Hope this helps :)
Suppose that in your city % of the voters are registered as Democrats, % as Republicans, and % as members of other parties. Voters not aligned with any official party are termed "Independent." You are conducting a poll by calling registered voters at random. In your first three calls, what is the probability that you talk to
Answer:
it will depend on what state you are in
Step-by-step explanation:
depending on what state you are in will depend on the voting polls. and it would most likely be democratic
The rabbit population in a certain area is 500% of last year's population. There are about 300 rabbits this year. How many were there last year?
Answer: 1500
Hope this helps! :)
Please mark brainliest.
Need some help please
help me please…………….
Answer:
The answer is e. (x - 10 * y^2 * z) (x + 10 *y^2 *z)
Step-by-step explanation:
To explain it test all the options by distributing them.
Using an online website that I plugged into the calculator to factory gets answer e.
what is an equation of the line that is perpendicular to line y= -1/2x -2 and passes through the point (0,-4)?
Answer:
[tex]y = 2x -4[/tex]
Step-by-step explanation:
[tex]y = -\frac{1}{2}x - 2\ \ \ \ \ \ (0, -4)[/tex]
To find the perpendicular equation of a line,
You need the product of their gradients to be -1
[tex]-\frac{1}{2} \times ? = -1[/tex]
Divide both sides by [tex]-\frac{1}{2}[/tex]
? = 2
The gradient of the perpendicular line is 2
Straight line formula is in the form [tex]y = mx + c[/tex]
[tex]y = 2x + c[/tex]
We're nearly there, we just need to find out c.
Luckily, we're given a point [tex](0, -4)[/tex]
[tex](x, y) = (0, -4)[/tex]
[tex]y = 2x + c[/tex]
[tex]-4 = 2(0) + c\\-4 = 0 + c\\c = -4[/tex]
We then end up with...
[tex]y = 2x -4[/tex]
A scale drawing of a rectangular playground has a length of 20 inches and a width of 10 inches as shown.The scale is 1 inch = 15 feet.
Write a scale that relates the area of the drawing to the area of the actual playground. Show or explain your work and write your answer in the space provided.
Answer:
4:9
Step-by-step explanation:
Find the area in inch first:
20 inch × 10 inch = 200 inch
Area in feet:
(20×15) + (10×15) = 450 inch
Area of the drawing : Area of the actual playground
200:450
Simplify it by dividing by 5
Last answer =4:9
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Find the area of the rectangle.
8
2
square units
Mrs. Reynolds has $153. She buys a bicycle for $105.
Then, she finds $20 at the bottom of her purse.
How much money does she have now? Use the bar diagrams to help you.
Step 1:
Step 1: a bar diagram shows 105 and m, the money left after buying a bike. Together 105 and m are equal to 153.
Step 2:
Step 2: a bar diagram shows that 20 and m is equal to s, the money now.
Enter your answer in the box.
Mrs. Reynolds has $
now.
The total amounts of money which Mrs. Reynolds now has according to the descriptions in the task content is; $68.
How much does Mrs. Reynolds have now?It follows from the task content that;
Together 105 and m are equal to 153.20 and m is equal to s.On this note;
105 + m = 153m = 153 -105 = 48Hence, it follows that the amount of money, s she has now is;
s = 48 + 20 = $68Read more on addition and subtraction;
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PLS ANSWER THIS QUESTION FAST
EXPLANATION IS NOT NEEDED PLS MAKE SURE ITS CORRECT
I WILL MARK BRAINLIEST
Answer:
C. 16π
Step-by-step explanation:
You want to know the area of a circle whose radius is twice the edge of a cube that has a surface area of 24 square units.
AreaThe relevant area formulas are ...
As = 6s² . . . . . . area of cube with edge s
Ac = πr² . . . . . . area of circle with radius r
ApplicationHere, we have r = 2s, so the area of the circle is ...
Ac = π(2s)² = 4πs²
And we have the area of the square as 24, so the value of s² is ...
As = 24 = 6s²
24/6 = 4 = s²
Using this in the circle area expression, we have the area of the circle as ...
Ac = 4π(4) = 16π . . . . . square units
The area of the circle is 16π square units.
<95141404393>
1) Find the circumference and Area
2) Find the Perimeter and Area
Thank you so much!
Answer:
See below.
Step-by-step explanation:
1) We know that the circumference of a circle can be found using the formula [tex]c=\pi d[/tex], so for this circle the circumference will be [tex]c=3.14 \times 40=125.6 \text{ yards}[/tex]. The formula for the area of a circle is [tex]A=\frac{1}{4}\pi d^2[/tex], so the area of this circle will be [tex]A=\frac{1}{4} \times 3.14 \times 40^2=1256 \text{ yards}[/tex].
2) First we'll work out the length of the curved side of the shape. That's [tex]\frac{1}{2}\times\pi d =\frac{1}{2} \times 3.14 \times 12=18.84 \text{ mm}[/tex]. Then, we'll add the length of the other two straight sides to get [tex]10.82 \times 2 + 18.84=40.48 \text{ mm}[/tex]. Next: the area of the semi-circle is [tex]\frac{1}{2} \times \frac{1}{4} \pi d^2 = \frac{1}{8} \times 3.14 \times 144 = 56.52 \text{ mm}[/tex]. Adding this to the areas of the two triangles: [tex]56.52+2 \times \frac{1}{2}bh=56.52+(\sqrt{10.82^2-9^2)}\times9 \approx 110.57 \text{ to 2 d.p.}[/tex]
Example: I am shopping for school supplies at Target and I have $130 extra. I see air pods on sale for
$120. / want to determine if I have enough money to cover the total purchase price, including tax,
before i get to the register. Here's how I would organize the problem in my head (or on paper) to get
an accurate calculation...
To determine if you have enough money to buy this product, calculate the sales tax and the final price of the product.
How to calculate sales tax?Sales tax is usually expressed as a percentage. Moreover, this percentage can slighly change depending on the state where you live.
Here is an example:
Sales tax in texas: 6.25%Price of the product / 100 x 6.25130/ 100 = 1.3 x 6.25 = 8.12Final price = 138.12
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Simplify
5x²-x+ 9 =
X=3
Answer:
51
Step-by-step explanation:
5x^2 - x + 9
5(3^2) - 3 + 9
5(9) + 6
45 + 6
= 51
f(x) = e^-x . Find the equation of the tangent to f(x) at x=-1
Answer:
The equation of the tangent line is given by the following equation:
[tex]\displaystyle y - \frac{1}{e} = \frac{-1}{e} \bigg( x - 1 \bigg)[/tex]
General Formulas and Concepts:
Algebra I
Point-Slope Form: y - y₁ = m(x - x₁)
x₁ - x coordinatey₁ - y coordinatem - slopeCalculus
Differentiation
DerivativesDerivative NotationDerivative Property [Multiplied Constant]:
[tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]
Derivative Rule [Basic Power Rule]:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Derivative Rule [Chain Rule]:
[tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]
Step-by-step explanation:
*Note:
Recall that the definition of the derivative is the slope of the tangent line.
Step 1: Define
Identify given.
[tex]\displaystylef(x) = e^{-x} \\x = -1[/tex]
Step 2: Differentiate
[Function] Apply Exponential Differentiation [Derivative Rule - Chain Rule]:Step 3: Find Tangent Slope
[Derivative] Substitute in x = 1:∴ the slope of the tangent line is equal to [tex]\displaystyle \frac{-1}{e}[/tex].
Step 4: Find Equation
[Function] Substitute in x = 1:∴ our point is equal to [tex]\displaystyle \bigg( 1, \frac{1}{e} \bigg)[/tex].
Substituting in our variables we found into the point-slope form general equation, we get our final answer of:
[tex]\displaystyle \boxed{ y - \frac{1}{e} = \frac{-1}{e} \bigg( x - 1 \bigg) }[/tex]
∴ we have our final answer.
---
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---
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentiation
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answer:
45 degrees
right angle =90 degrees
remaining :90
angles are equal
so 45 each
what is the distance between (7, -7) and (9,-9)
Answer: 2,-2
Step-by-step explanation: 9-7 is 2 and -9 minus -7 is minus 2.
Lillie has read 45 books and read 10 books every year. Dean has read 23 books and reads 12 books every year. How many years will Dean take to read as many books as Lillie?
Answer:
11 years
Step-by-step explanation:
x = years to equal
45 + 10x = 23 + 12x
22 = 2x
x = 11 years
It will take 11 years for Dean to read as many books as Lillie.
What is an Equation?An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.
Given that,
Number of books read by Lillie every year = 10 books
Total number of books already read = 45 books
The number of books, n, read by Lillie in t years,
n = 45 + 10t
Number of books read by Dean every year = 12 books
Total number of books already read = 23 books
The number of books, n, read by Lillie in t years,
n = 23 + 12t
Dean read as many books as Lillie, when,
23 + 12t = 45 + 10t
12t - 10t = 45 - 23
2t = 22
t = 11
Hence the number of books read by both will be same in 11 years.
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8) Use the formula for the cardinal number of union of two sets
n(AUB) = n(A) + n(B) – n(An B)
n
to solve the problem.
Set A contains 10 elements, set B contains 5 elements and 3 elements are common
to sets A and B. How many elements in the union of these two sets?
18
09
12
15
Answer:
12
Step-by-step explanation:
n(AUB) = n((A) + n(B) – n(AnB)
Step 1:
Identify the values for each function of the formula. n(A) = 10, n(B) = 5, n(AnB) = 3
Step 2:
Replace each function with its values
n(AUB) = n(A) + n(B) – n(AnB)
n(AUB) = 10 + 5 – 3
Step 3:
Carry on the simple arithmetic
n(AUB) = 10 + 5 – 3 (follow the BODMAS method)
= 15–3
= 12
Therefore, the n(AUB) is 12
Mark earned $1340 for a 40-hour week. Use the formula P = RH where (P is the pay,
R is the rate per hour, and H is the number of hours worked) to find his hourly rate.
I need asap please
What square root best approximates the point on the graph?
A) 5 to the square root
B) 15 to the square root
C)28 to the square root
D) 53 to the square root
Answer:
[tex]\sqrt{28}[/tex]
Step-by-step explanation:
the point lies between 5 and 6 , that is between
[tex]\sqrt{25}[/tex] and [tex]\sqrt{36}[/tex]
therefore the poi nt approximates to the [tex]\sqrt{28}[/tex]
Consider the given probability histogram of a binomial
random variable.
What are the center and shape of the distribution?
0.4
A. Center: 2
Shape: symmetric
B. Center: 2.5
Shape: symmetric
C. Center: 2.5
Shape: slightly skewed
D. Center: 3
Shape: uniform
The center and shape of the distribution are 2.5 and symmetric. Then the correct option is B.
How to find that a given condition can be modeled by binomial distribution?Binomial distributions consist of n independent Bernoulli trials.
Bernoulli trials are those trials that end up randomly either on success (with probability p) or on failures( with probability 1- p = q (say))
Suppose we have random variable X pertaining to a binomial distribution with parameters n and p, then it is written as
[tex]X \sim B(n,p)[/tex]
The probability that out of n trials, there'd be x successes is given by
[tex]\rm P(X =x) = \: ^nC_xp^x(1-p)^{n-x}[/tex]
Then the center and shape of the distribution will be 2.5.
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Answer:
Center : 2.5 Shape: Symmetric
Step-by-step explanation:
Trust Fam
Type The Correct Answer.
Answer:
6.3
Step-by-step explanation:
151.2/24 in order to find out how many miles he drove per day
the answer is 6.3 miles per day
Answer:
6.3 Miles
Step-by-step explanation:
just divide 151.2 by 24.
HELP ASAP PLEAse!!! HOW DO YOU FIND THE LATERAL AREA OF THE TRIANGLE, (ALREADY GOT SURFACE AREA CORRECT), PLEASE ROUND IT TO THE NEAREST HUNDRETH