DA is tangent to the circle at A and DC is tangent to the circle at C. Find m
Answer:
D
Step-by-step explanation:
m angle b equals 77 now we have to find the arc of andle b.
so use the equation arc AC = 2(77)
arcAC = 154
360 - 154
=206
206/2
= 103
PLEASE SOMEONE ANSWER A REAL ANSWER WILL GIVE BRAINLIST
Answer:
a I think please be right
number 5 please yeah
Answer:
3x<45
Step-by-step explanation:
Simple
About Prove each of the following statements using mathematical induction. (a) Prove that for any positive integer n, 4 evenly divides 32n-1. (b) Prove that for any positive integer n, 6 evenly divides 7n - 1. (c) Prove that for any positive integer n, 4 evenly divides 11n - 7n. (d) Prove that for any positive integer n, 7 evenly divides 9n - 2n.
Answer:
(a) [tex]3^{2{k+1}} - 1 = 4(9k + 2)[/tex]
(b) [tex]7^{k+1} - 1 = 6(7k + 1)[/tex]
(c) [tex]11(k + 1) - 7(k + 1) = 4(k + 1)[/tex]
(d) [tex]9(k+1) - 2(k+1) = 7(k+1)[/tex]
Step-by-step explanation:
Solving (a): For integer [tex]n[/tex], 4 divides [tex]3^{2n} - 1[/tex]
The proof is as follows:
For n = k, we have:
[tex]\frac{3^{2k}- 1}{4} = k[/tex]
Multiply through by 4
[tex]3^{2k} - 1 = 4k[/tex]
[tex]9^k - 1 = 4k[/tex]
Next, prove the statement is true for [tex]n = k+1[/tex]
[tex]3^{2{k+1}} - 1[/tex]
[tex]3^{2{k+1}} - 1 = 9^{{k+1}} - 1[/tex]
[tex]3^{2{k+1}} - 1 = 9^{k} * 9^1 - 1[/tex]
[tex]3^{2{k+1}} - 1 = 9^k * 9 - 1[/tex]
Express -1 as - 9 + 8
[tex]3^{2{k+1}} - 1 = 9^k * 9 - 9 + 8[/tex]
Factorize:
[tex]3^{2{k+1}} - 1 = 9(9^k - 1) + 8[/tex]
Recall that: [tex]9^k - 1 = 4k[/tex]
So, we have:
[tex]3^{2{k+1}} - 1 = 9*4k + 8[/tex]
Factorize
[tex]3^{2{k+1}} - 1 = 4(9k + 2)[/tex]
Since the above mathematical statement is true, then the given statement has been proved
Solving (b): For integer [tex]n[/tex], 6 divides [tex]7^n - 1[/tex]
The proof is as follows:
For n = k, we have:
[tex]\frac{7^k - 1}{6} = k[/tex]
Multiply through by 6
[tex]7^k - 1 = 6k[/tex]
Next, prove the statement is true for [tex]n = k+1[/tex]
[tex]7^{k+1} - 1[/tex]
[tex]7^{k+1} - 1 = 7^k * 7^1 - 1[/tex]
[tex]7^{k+1} - 1 = 7^k * 7 - 1[/tex]
Express -1 as - 7 + 6
[tex]7^{k+1} - 1 = 7^k * 7 - 7 + 6[/tex]
Factorize:
[tex]7^{k+1} - 1 = 7(7^k - 1) + 6[/tex]
Recall that: [tex]7^k - 1 = 6k[/tex]
So, we have:
[tex]7^{k+1} - 1 = 7(6k) + 6[/tex]
Factorize
[tex]7^{k+1} - 1 = 6(7k + 1)[/tex]
Since the above mathematical statement is true, then the given statement has been proved
Solving (c): For integer [tex]n[/tex], 4 divides [tex]11n - 7n[/tex]
The proof is as follows:
For n = k, we have:
[tex]\frac{11k - 7k}{4} = k[/tex]
Multiply through by 4
[tex]11k - 7k = 4k[/tex]
Next, prove the statement is true for [tex]n = k+1[/tex]
[tex]11(k + 1) - 7(k + 1)[/tex]
[tex]11(k + 1) - 7(k + 1) = 11k + 11 - 7k - 7[/tex]
Collect Like Terms
[tex]11(k + 1) - 7(k + 1) = 11k - 7k + 11 - 7[/tex]
[tex]11(k + 1) - 7(k + 1) = 11k - 7k + 4[/tex]
Recall that: [tex]11k - 7k = 4k[/tex]
So, we have:
[tex]11(k + 1) - 7(k + 1) = 4k + 4[/tex]
Factorize
[tex]11(k + 1) - 7(k + 1) = 4(k + 1)[/tex]
Since the above mathematical statement is true, then the given statement has been proved
Solving (d): For integer [tex]n[/tex], 7 divides [tex]9n - 2n[/tex]
The proof is as follows:
For n = k, we have:
[tex]\frac{9k - 2k}{7} = k[/tex]
Multiply through by 7
[tex]9k - 2k = 7k[/tex]
Next, prove the statement is true for [tex]n = k+1[/tex]
[tex]9(k+1) - 2(k+1)[/tex]
[tex]9(k+1) - 2(k+1) = 9k+9 - 2k-2[/tex]
Collect Like Terms
[tex]9(k+1) - 2(k+1) = 9k- 2k+9 -2[/tex]
[tex]9(k+1) - 2(k+1) = 9k- 2k+7[/tex]
Recall that: [tex]9k - 2k = 7k[/tex]
So, we have:
[tex]9(k+1) - 2(k+1) = 7k+7[/tex]
Factorize
[tex]9(k+1) - 2(k+1) = 7(k+1)[/tex]
Since the above mathematical statement is true, then the given statement has been proved
The graph of a function is a line that passes through the coordinates (2, 11) and (8, 14).
Which is an equation in terms of x and y for this function?
y = 12x + 10
y = 23x + 9
y = 32x + 8
y = 2x + 7
Answer:
y=12x+10
Step-by-step explanation:
hope this helps sorry if I'm wrong
12(a – 2) = 14 + 3(2b – 1)
5(a + 1) + 2(1 – 2b) = 14
solve with elimantion?
Answer:
(a,b) = (49/9 , 91/18)
Step-by-step explanation:
12a-6b=35
5a-4b=7
multiply both sides
-24+12b= -70
15a-12b=21
elimiate one varibable by adding the equations
-9a= -49
divide both sides
a=49/9
subsitite the value of a
5*49/9-4b=7
solve the equation
b=91/18
a possible solution is
(a,b) = (49/9 , 91/18)
Check it if you want but yeah
g A construction company has four trucks to carry sand to construction sites. The amount of sand that one truck can transport in one day can be modeled by an exponential distribution with mean of 4 tons for each of the four trucks. The trucks operate independently Find the probability that exactly two out of the four trucks transport more than 4 tons on a given day. What is the median load
6-4x is Less than or equal to 26
determine the following
Answer:
function
Step-by-step explanation:
y = 6x^2 +x+7
This is an upward facing parabola
This relation will pass the vertical line test.
This relation is a function
PLS HELP TEXT ILL GIVE BRAINLIEST
Answer:
a = -15
Step-by-step explanation:
multiply both sides by 3, then you get a = -15
Answer:
a= -15 for the first one and b= -1 for the 2nd one
Step-by-step explanation:
Find the solution to -1/3y = -9
Answer:
y=27
Step-by-step explanation:
Hey There!
So the whole objective is to get y on one side and the constant on the other
to do so we use inverse operations
-1/3y=-9
divide each side by 1/3
-9/-1/3=-27
we're left with y=-27
Use long hand division to determine if (x-1) is a factor of 4x^4 + 7x^2 - 5x + 1
Answer:
[tex] \bold{quotient } = {4x}^{3} + {4x}^{2} + 13x + 8 \\ \bold {remainder} = 9[/tex]
Step-by-step explanation:
See the attached image.
A ladder is placed 7 feet from the base of a building and reaches a point on the building that is 24 feet above the ground. Find the length of the ladder.
Use the Pythagorean theorem:
7^2 + 24^2 = length^2
Simplify:
49 + 576 = length ^2
Add:
625 = length^2
Take the square root of both sides
Length = 25
The ladder is 25 feet long
Whats 9387c x 732l +99 *DO NOT REPORT TY!*
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do not come until wednesday
Id: 334 911 1797
pass: hey
Answer:
You did not even start the meeting them you want us to join . Silly
Step-by-step explanation:
6871383
how you doing?
how your day going?
Answer:
6871383
Step-by-step explanation:
why dont come until wednsday??
Barb drew a line through the origin and point
(2, 3). Jamal drew a line through the origin
and point (4,6). How can you tell that Barb
and Jamal drew the same line?
Which best describes the triangle shown?
Answer:
a I think please be right
What is the highest common factor of 72 and 96
What expression is equivalent to 3x - 7 - 6x + 13
Answer:
-3x + 6 and -3(x - 2)
Step-by-step explanation:
Given
[tex]3x - 7 - 6x + 13[/tex]
Required
An equivalent expression
[tex]3x - 7 - 6x + 13[/tex]
Collect Like Terms
[tex]3x - 7 - 6x + 13 = 3x - 6x - 7 + 13[/tex]
[tex]3x - 7 - 6x + 13 = -3x+6[/tex]
This can be simplified further as:
[tex]3x - 7 - 6x + 13 = -3(x-2)[/tex]
Find the value of x.
(13x+12)
129
X=
PLSS HELP
Answer:
The value of x would equal 9
Step-by-step explanation:
129 - 12 = 117
117/13 = 9
Bill is in a class of 23 girls and 27 boys. 40% of the students in the class take the bus to school. How many students take the bus to school?
A. 15
B. 20
C. 30
D. 35
Answer: 20 students
Step-by-step explanation: 20 students who take the bus to school. Therefore thirty students do not take the bus to school.
Kiran is flying a kite. He gets tired, so he stakes the kite into the ground. The kite is on a string that is 12 feet long and makes a 45 degree angle with the ground.
How high is the kite?
Answer:
the Hight of kite is =12×sin45
therefore,8.5 feet
Name
Use the given information to answer Problems 7-11.
Leon and Jacey work for a florist. They each program a drone
to deliver boxes of flowers to neighbors. With Leon's program,
he must manually attach the box to the drone. With Jacey's
the drone can pick up one box at a time from a pile.
program,
ram
Please help!!
Answer:
#7: 30 seconds On The Graph The Drone Has Not Moved and The Time Is At 30 Seconds :)
#8 : 20 Seconds On The Graph All The times go Up by 20 So that is the only Possible answer
#9: Leon Drone Is Faster Look At The Graph 60 Seconds = 10 Feet And Jacey's Graph its 80 Seconds For 10 Feet And I could Go On
#10 The Time In Seconds
#11 With slow speed you can guarantee it will not be broken or damaged
I Hope This Helps :) Please Give Brainiest If It Makes Sense To You !
Thanks :)
What are two absolute value expressions that are equivalent to |7+9|.
You did not give is choices to choose from.
|7 + 9| is the same as |-7 - 9|.
|16| is the we same as |-16|.
Besides using the proper formula, what must you be cautious of when calculating the area of geometric
figures? Why?
Answer:
Some units are inches and some are feet. In that case, you would need to convert in order for the equation to be solved.
Step-by-step explanation:
I got 100% on edgen
Cautious of when calculating the area of geometric figures is different unit.
What are units?A measurement unit is a standard quantity used to express a physical quantity.
The main caution while calculating the geometric figures is units.
Sometimes units are inches and some are feet.
In this case, we need to convert in order to get the correct calculation because different measurements can cause error in finding the solution.
Learn more about units here:
https://brainly.com/question/12629581
#SPJ2
Cereal costs $2 per box. How many boxes did Joe buy if she spent $6?
Answer:
3 boxes
Step-by-step explanation:
Take the total spent and divide by the cost per box
$6/ $2
3
She bought 3 boxes
Use the applet to select a random sample of 8 students.Repeat to generate many samples. The applet gives the sample proportion for each sample. Examine the variability in the sample proportions you generated with the applet. Which of the following sequences of sample proportions is most likely to occur for 5 random samples of 8 students from this population? Group of answer choices 0.250, 0.125, 0.500, 0.500, 0.875 0.600, 0.600, 0.600, 0.600, 0.600 0.375, 0.625, 0.500, 0.500, 0.875
Answer:
0.250, 0.125, 0.500, 0.500, 0.875
Step-by-step explanation:
Sampling method is used in statistics where the sample is extracted from the population. A random sampling means that there is equal chance of every proportion to be selected in the sample. In the given scenario the sampling method used is random sampling which has 5 random samples of 8 students. There can be sequence for the sampling starting from 0.250.
2 cups is to 8 cans as 14 cups is to ___ cans?
Answer:
56
Step-by-step explanation:
The ratio is 1:4
14 * 4 = 56
Answer: 56
Step-by-step explanation:
8 ÷ 2 = 4 (cans) - it is 1 cup.
14 × 4 = 56 (cans) - it is 14 cups.
To solve the system of equations below, Grace isolated the variable y in the
first equation and then substituted into the second equation. What was the
resulting equation?
2y = 10x
x y²
64 36
= 1
Answer:
D
Step-by-step explanation:
2y=10x
Divide both sides by 2.
y=5x
Now substitute this into the second equation.
Answer:
b. [tex]x^2/64 - 5y^2/36=1[/tex]
Step-by-step explanation: a p e x
what is bigger 1 yard or 35 inches
Answer:
Step-by-step explanation:
1 yard has 3 feet
1 foot has 12 inches
3 feet have 3 * 12 = 36
36 is greater than 35
1 yard is greater than 35 inches.
Which of the points shown below are on the line given by the equation y = 2x?
Check all that apply
