The factors of 45 are 9 and 5.
A number divisible by 45 needs to be divisible by both 9 and 5.
For a number to be divisible by 9 the sum of the digits must also be divisible by 9 and the number needs to end with either a 0 or a 5 to be divisible by 5.
This means the number needs to end with the 0 so cross out the last number (4)
Now find a sum of 5 remaining numbers divisible by 9.
5 + 1 + 4 + 8 + 0 = 18 which is divisible by 9
Cross out 9,7 and the last number 4 to get the number: 51480
On a map of a town, 3 cm represents 150 m. Two points in the town are 1 km apart. How far apart are the two points on the map?
Answer:
5000 km
Step-by-step explanation:
We are given that
3 cm represents on a map of a town=150 m
Distance between two points=1 km
We have to find the distance between two points on the map.
3 cm represents on a map of a town=150 m
1 cm represents on a map of a town=150/3 m
1 km=1000 m
1 m=100 cm
[tex]1km=1000\times 100=100000 cm[/tex]
100000 cm represents on a map of a town
=[tex]\frac{150}{3}\times 100000[/tex] m
100000 cm represents on a map of a town=5000000 m
100000 cm represents on a map of a town
=[tex]\frac{5000000}{1000} km[/tex]
100000 cm represents on a map of a town=5000 km
Hence, two points are separated by 5000 km on the map.
What are the domain and range of the function f(x) = 3^x + 5?
a. domain: (negative infinity, infinity); range: (0, infinity)
b. domain: (negative infinity, infinity); range: (5, infinity)
c. domain:(0, infinity); range: (negative infinity, infinity)
d. domain: (5, infinity); range: (negative infinity, infinity)
PLEASE RESPOND QUICKKK THANK YOUU
Answer:
b. domain: (negative infinity, infinity); range: (5, infinity)
Step-by-step explanation:
Answer:
B. Domain: (negative infinity, infinity);
Range: (5, infinity)
1+1/2+1/4+1/8+1/16+1/32+1/64
if you continue adding on fractions according to this pattern, when will you reach a sum of 2?
Answer: You will never reach a sum of 2. You would need infinitely many terms to sum up.
============================================================
Explanation:
We have this sequence
1, 1/2, 1/4, 1/8, 1/16, 1/32, 1/64, ...
which is geometric with the following properties
a = first term = 1r = common ratio = 1/2 = 0.5Notice how we multiply each term by 1/2 to get the next term. Eg: (1/4)*(1/2) = 1/8 or (1/16)*(1/2) = 1/32.
Since r = 0.5 is between -1 and 1, i.e. -1 < r < 1 is true, this means that adding infinite terms of this form will get us to approach some finite sum which we'll call S. This is because the new terms added on get smaller and smaller.
That infinite sum is
S = a/(1-r)
S = 1/(1-0.5)
S = 1/0.5
S = 2
So if we keep going with that pattern 1+1/2+1/4+... and do so forever, then we'll reach a sum of 2. However, we cannot go on forever since it's asking when we'll reach that specific sum. In other words, your teacher wants finitely many terms to be added.
In short, we'll never actually reach the sum 2 itself. We'll just get closer and closer.
Here's a list of partial sums
1+1/2 = 1.51+1/2+1/4 = 1.751+1/2+1/4+1/8 = 1.8751+1/2+1/4+1/8+1/16 = 1.93751+1/2+1/4+1/8+1/16+1/32 = 1.968751+1/2+1/4+1/8+1/16+1/32+1/64 = 1.9843751+1/2+1/4+1/8+1/16+1/32+1/64+1/128 = 1.99218751+1/2+1/4+1/8+1/16+1/32+1/64+1/128+1/256 = 1.99609375We can see that we're getting closer to 2, but we'll never actually get there. We'd need to add infinitely many terms to get to exactly 2.
If you pick a card at random from a well shuffled deck, what is the probability that you get an even card or a spade
Answer:
The probability that you get an even card or a spade is P = 0.596
Step-by-step explanation:
In a deck of 52 cards, all the cards have the exact same probability of being drawn.
So, the probability of drawing an even card of a spade, will be equal to the quotient between the number of even cards and spades, and the total number of cards (52).
First, let's found the number of even cards and spades.
There are 13 spades.
For each set, the even cards are:
{2. 4, 6, 8, 10}
(not counting the queen as a "12")
Then for each set, there are 6 even cards.
(there are four sets but we already counted the 6 even cards from the spade set, so we ignore that set)
Then there are 3 sets with 6 even cards each, there are:
3*6 = 18 even cards
So we have:
13 spades + 18 even cards = 31 cards that meet the condition.
The probability is then:
P = 31/52 = 0.596
The probability that you get an even card or a spade is P = 0.596
Please help
Find the value of x if,
m∠5 = x-6, m∠4 = 2x+4, m∠2 = 2x-26
Answer:
Step-by-step explanation:
we are given the angles ∠5 , ∠4 , ∠3 , but with one variable, "X" :)
also we are told ∠AOC is bisected by OB , meaning that ∠1 = ∠2
and the EC is perpendicular to OD , so ∠4+∠5=90°
since we are given ∠4 & ∠5, lets use that to solve for "X"
:)
90= x-6 + 2x+4
90= 3x -2
92 =3x
30[tex]\frac{2}{3}[/tex] ° = x
30.6666666666666666 ° = x
26.3 times 1.2 please do with explanation worth 15 points
Answer - It’s 31.56
Step-by-step explanation: You just do regular multiplication and then add the decimal point
what is the answer some one help me please so i can do this
Answer:
They can buy up to 240 drinks.
Step-by-step explanation:
Let x = number of drinks
The price of 1 drink is 75¢ = $0.75
The price of x drinks is 0.75x
The store gives a discount of $100.
The rice of x drinks is
0.75x - 100
The total price of the drinks must be less than or equal to $80.
0.75x - 100 ≤ 80
Add 100 to both sides.
0.75x ≤ 180
Divide both sides by 0.75
x ≤ 240
Answer: They can buy up to 240 drinks.
Use a linear approximation (or differentials) to estimate the given number. (Round your answer to five decimal places.) 3 217
Using a linear approximation, the estimated cube root of 217 is 6.00925.
Given that the number is,
The cube root of 217
Now, for the cube root of 217 using a linear approximation, use differentials.
So, the derivative of the function [tex]f(x) = x^{(1/3)[/tex] at a known point.
Taking the derivative of [tex]f(x) = x^{(1/3)[/tex], we get:
[tex]f'(x) = (\dfrac{1}{3} )x^{-2/3[/tex]
Now, we can choose a point near 217 to evaluate the linear approximation.
Let's use x = 216, which is a perfect cube.
Substituting x = 216 into the derivative, we get:
[tex]f'(216) = (\dfrac{1}{3} )(216)^{-2/3[/tex]
[tex]= 0.00925[/tex]
Next, use the linear approximation formula:
Δy ≈ f'(a)Δx
Since our known point is a = 216 and we want to estimate the cube root of 217,
since 217 - 216 = 1
Hence, Δx = 1
Δy ≈ f'(216)
Δx ≈ 0.00925 × 1
≈ 0.00925
Finally, add this linear approximation to the known value at the known point to get our estimate:
Estimated cube root of 217 ;
f(216) + Δy = 6 + 0.00925
= 6.00925
Therefore, the estimated cube root of 217 is 6.00925.
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Evaluate 19C1 PLEASE HELP
Answer:
[tex]{19}C_1=19[/tex]
Step-by-step explanation:
We need to find the value of [tex]{19}C_1[/tex].
C stands for combination.
The formula of combination is as follows :
[tex]nC_r=\dfrac{n!}{r!(n-r)!}[/tex]
Here,
n = 19 and r = 1
So,
[tex]nC_r=\dfrac{19!}{1!(19-1)!}\\\\nC_r=\dfrac{19!}{1!\times 18!}\\\\nC_r=\dfrac{19\times 18!}{1!\times 18!}\\\\nC_r=19[/tex]
So, the value of [tex]{19}C_1[/tex] is 19.
Answer:
Your answer will be 19C1 =19
Assume that 300 births are randomly selected and 5 of the births are girls. Use subjective judgment to describe the number of girls as significantly high, significantly low, or neither significantly low nor significantly high.g
Answer:
Following are the response to the given choice.
Step-by-step explanation:
Please find the complete question in the attached file.
Subjective opinion = Question of opinion.
Therefore this requires only just opinion and we don't have to do any actual calculations.
Does this seem like a great number of girls, a little number of girls, or a decent number of girls to you but if 1,300 babies were born, 5 of whom were females?
This is a small number of beautiful gals, in my honest opinion. We anticipate boys and girls to be produced about the very same frequency, thus I expect some half of them to be females if there are 1 300 newborns. You should have roughly 650 girls if 50% of the infants are girls, but now we only have five. That appears to me to be considerably low. which is your own opinion.
What is the probability that this spinner will stop on blue or white when it is spun?
1/4 is white
1/4 is purple
1/4 is blue
1/4 is black
Answer:
1/2 or 50-50
Step-by-step explanation:
1/4 +1/4 = 1/2 or 50-50
Type your answer
(1 out of 4)
What is the value of the function when x = 3 in the
piecewise function
g(x) =
3x when x > 1
- 2x when x < 1
Answer:
9
Step-by-step explanation:
What is the value of y?
Answer:
y=0
Step-by-step explanation:
1. Make variable y as subject for the first equation, which is y= -2x +10
2. substitute the first eq to the second one
3. x - (-2x+10) -5=0
4. solve x, which x = 5
5. substitute in eq 1 which is y= -2x +10
6. solve the eq, the possible solution is y=0
A person participates in a weekly office pool in which he has one chance in ten of winning the prize. If he participates for 5 weeks in succession, what is the probability of winning at least one prize.
The probability of winning at least one prize is 0.40951.
What is probability?Probability is the likelihood that an event will occur.
The following information can be deduced:
P = probability of winning = 1/10
q = probability of not winning = 1- (1/10) = 9/10
x = no. of winning
then, p (x ≥ 1) = 1 - p (x < 1)
= 1 - p (x=0)
= 1 - ⁵C₀ (1/10)^⁰ (9/10)^(5-0)
= 1 - (1) (1) (9/10)^5
= 1 - (9/10)^5
= 1 - 0.59049
= 0.40951
Therefore, the probability is 0.40951.
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Create a new project called 02.03 Math Class Methods. Create a class called PyTheorem in the newly-created folder. Use the appropriate Math class methods to calculate the hypotenuse of two right triangles. The value of each side (sides a and b) should be randomly generated using Math.random(). The range should from 5 (inclusive) to 23 (exclusive). Print the value of each side of both triangles as well as the value of the hypotenuse for both triangles.
Answer:
The program in Java is as follows:
import java.util.*;
public class PyTheorem{
public static void main(String [] args){
Random rNum = new Random();
int a = rNum.nextInt(17) + 5;
int b = rNum.nextInt(17) + 5;
System.out.println("a: "+a);
System.out.println("b: "+b);
double hyp = Math.sqrt(Math.pow(a,2)+Math.pow(b,2));
System.out.print("Hypotenuse: "+hyp);
}}
Step-by-step explanation:
This generates random number for a
int a = rNum.nextInt(17) + 5;
This generates random number for b
int b = rNum.nextInt(17) + 5;
Print a
System.out.println("a: "+a);
Print b
System.out.println("b: "+b);
Calculate the hypotenuse
double hyp = Math.sqrt(Math.pow(a,2)+Math.pow(b,2));
Print the calculated hypotenuse
System.out.print("Hypotenuse: "+hyp);
How would 0.42 be shown as a percent?
A. 0.42%
B. 4%
C. 4.2%
D. 42%
Answer:
42%
Step-by-step explanation:
to find percentages, you move the decimal point twice to the right
A canning factory turns out 568 tins of jam on a certain day. How many tins will be produced in 297 working days?
Help me please I need help 6
Answer:
69.6
Step-by-step explanation:
sin 55 = x / 85
0.8191520443 = x / 85
x = 69.6
Rajah 1 menunjukkan lukisan pelan berskala bagi sebuah rumah
lantainya berbentuk dua segi empat sama.
Skala yang digunakan adalah 1:200. Jika
kos memasang jubin jalah Rm 30 per m3
berapakah jumlah kos memasang jubin bagi
rumah tersebut?
Answer:
RM 1200 kalau ada gambar cuba insert
Please Help NO LINKS
Use cylindrical shells to find the volume of the solid obtained by rotating the region bounded by
y
=
x
2
,
y
=
0
, and
x
=
9
,
about the
y
-axis.
V
=
Answer:
[tex]\displaystyle V = \frac{6561 \pi}{2}[/tex]
General Formulas and Concepts:
Algebra I
FunctionsFunction NotationGraphingCalculus
Integrals
Integration Rule [Reverse Power Rule]: [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]
Integration Rule [Fundamental Theorem of Calculus 1]: [tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]
Integration Property [Multiplied Constant]: [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]
Integration Property [Addition/Subtraction]: [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]
Shell Method: [tex]\displaystyle V = 2\pi \int\limits^b_a {xf(x)} \, dx[/tex]
[Shell Method] 2πx is the circumference[Shell Method] 2πxf(x) is the surface area[Shell Method] 2πxf(x)dx is volumeStep-by-step explanation:
Step 1: Define
y = x²
y = 0
x = 9
Step 2: Identify
Find other information from graph.
See attachment.
Bounds of Integration: [0, 9]
Step 3: Find Volume
Substitute in variables [Shell Method]: [tex]\displaystyle V = 2\pi \int\limits^9_0 {x(x^2)} \, dx[/tex][Integrand] Multiply: [tex]\displaystyle V = 2\pi \int\limits^9_0 {x^3} \, dx[/tex][Integral] Integrate [Integration Rule - Reverse Power Rule]: [tex]\displaystyle V = 2\pi \bigg( \frac{x^4}{4} \bigg) \bigg| \limits^9_0[/tex]Evaluate [Integration Rule - FTC 1]: [tex]\displaystyle V = 2\pi \bigg( \frac{6561}{4} \bigg)[/tex]Multiply: [tex]\displaystyle V = \frac{6561 \pi}{2}[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Applications of Integration
Book: College Calculus 10e
A wiper blade of a car is of length 24 cm sweeping through an angle of begin mathsize 18px style text 120° end text end style. The total area cleaned at one sweep of the blade is
Answer:
[tex]A=603.18\ cm^2[/tex]
Step-by-step explanation:
The length of a blade, r = 24 cm
The sweeping angle is 120°.
We need to find the total area cleaned at one sweep of the blade. The area of sector is given by :
[tex]A=\dfrac{\theta}{360}\times \pi r^2[/tex]
[tex]A=\dfrac{120}{360}\times \pi \times 24^2\\\\=603.18\ cm^2[/tex]
So, the total area cleaned at one sweep of the blade is [tex]603.18\ cm^2[/tex].
If the probability that an event happens is 0.76, what will be the probability that the event will not happen?
Answer:
24% or 0.24
Step-by-step explanation:
100% or 1 minus 76% or 0.76. That makes 24% or 0.24.
To answer the question you should prob just put in 0.24.
Help me pls I am bad at math
Answer:
D is the correct answer.
Step-by-step explanation:
You can get every y value by multiplying the x value by 3/2. This value never changes and there are no extra limitations.
Please help me. A) vertical angle. B) complementary angle. C) supplementary angle. D) none of the above
(C)
Step-by-step explanation:
The sum of angles a and b is 180°, which make the two supplementary angles.
Use the completing the square to solve x^2+6x=12.
Answer:
x= -3 ± [tex]\sqrt{21}[/tex]
Step-by-step explanation:
[tex]x^{2}[/tex]+6x=12
We add 9 [[tex](6/2)^{2}[/tex]] to both sides to complete the square as [tex]x^{2}[/tex]+6x+9 = [tex](x+3)^{2}[/tex].
[tex](x+3)^{2}[/tex]=21
Now we take the square root of both sides:
x+3=±[tex]\sqrt{21}[/tex]
x= -3 ± [tex]\sqrt{21}[/tex]
Answer:
x = -3 ± [tex]\sqrt{21}[/tex]
Step-by-step explanation:
[tex]x^2+6x=12[/tex]
[tex](\frac{b}{2} )^{2}[/tex] = 9
[tex]x^2+6x + 9 =12 + 9[/tex]
[tex](x+3)^{2} =21[/tex]
x + 3 = [tex]\sqrt{21}[/tex]
x = -3 ± [tex]\sqrt{21}[/tex]
There is a bag with only red marbles and blue marbles.
The probability of randomly choosing a red marble is
7/10th
There are 42 red marbles in the bag and each is equally likely to be chosen.
Work out how many marbles in total there must be.
Answer:
60 marbles in total
Step-by-step explanation:
Find how many marbles there are in total by dividing 42 by 0.7:
42/0.7
= 60
So, there are 60 marbles in total
Question 1 of 10
The triangles shown below may not be congruent.
66V
100
100
00
2017
A. True
B. False
SUBMIT
Answer:
A. TRUE
Step-by-step explanation:
To determine if two triangles are congruent, we need to establish the facts that the three angles and three side lengths of one is congruent to corresponding angles and side lengths of the other triangle.
The diagram given only tells us the angle measure of the two triangles which are congruent to each other. The side length wasn't given. Therefore, the triangles may not be congruent.
What is the solution set for |z+4|>15
Answer:
[tex]z + 4 = 15 \\ z + 4 - 4 = 15 \\ z = 15 - 4 \\ z = 11[/tex]
z>11
Step 1: For each circle (A-G) in the table below, use the given information to determine the missing
information. Include supporting work showing and explaining how you found the missing information.
Circle
Center
Radius
Equation
A
(x - 9)2 + (y - 12)2 = 64
B
(-1,-17)
5
С
(-9,13)
9n
D
x2 + (0 - 1)2 = 36
E
x2 + y2 – 26x = -160
F
*2 + y2 + 22x +12y = -93
G
x2 + y2 – 10x+12y = -52
Answer:
I don't really understand the question
Step-by-step explanation:
c
What is the measure of L?
A. 390
B. 25°
C. Cannot be determined
D. 32°
Answer:
∠L = 25°
Step-by-step explanation:
Two sides are equal. so , it is an isosceles triangle.
Angles opposite to equal sides are equal.
∠L = 25
