Help ME! solve for ∠K.

Answer:

45

Step-by-step explanation:

Every Triangle has 180 degrees.

x + 8x + 3x = 180

12x = 180

x = 180/12

x = 15

Angle K = 3x

K = 3 * 15

K = 45

Prove that

(a) there exist integers m and n such that 2m + 7n = 1.

(b) there exist integers m and n such that 15m + 12n = 3.

(c) there do not exist integers m and n such that 2m + 4n = 7.

(d) there do not exist integers m and n such that 12m + 15n = 1.

(e) for every integer t, if there exist integers m and n such that 15m + 16n = t, then there exist integers rand s such that 3r + 8s = t.

(f) if there exist integers m and n such that 12m + 15n = 1, then m and n are both positive.

(g) for every odd integer m, if m has the form 4k + 1 for some integer k, then m + 2 has the form 4j - 1 for some integer j. (h) for every integer m, if m is odd, then m2 = 8k + 1 for some integer k.

(i) for all odd integers m and n, if mn = 4k - 1 for some integer k, then m or n is of the form 4} - 1 for some integer j.

If (44)^x = 4^32, what is the value of x?

20*35*x = 7626.9923/2

Rewrite the following in logarithmic form:

e^x=16

Solve for y: 3x < 2y - 6

the average person takes about 30,000 breaths per day. express this number as a single digit integer times a power of 10

4. Billy Breath jogged 40 miles in 16 minutes. What is his rate of speed?​

An organization has raised $4800 for a remodeling project. This is 60% of their goal.
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Simplify: −2s − 9 + 7 − 5r use s = 3 and r =

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helpp meeeeeee pleasereee

To solve 38 = 6x - 16, you would subtract 16 and then divide by 6.
true
or
false

The alpha level is the set of analysis of the data. Identify the boundaries that separate the extreme samples from the samples that are more obviously consistent with the null hypothesis. Assume the null hypothesis is nondirectional, meaning that the critical region is split across both tails of the distribution.

The z-score boundaries at an alpha level α = .05 are:_________

[7(2) - 4] + [9+ 8(4)]

The auxiliary bookstore in the student center has one checkout counter where one employee operates the cash register. Customers arrive at a rate of 24 per hour following a Poisson distribution and service times are exponentially distributed, with a mean rate of 30 customers per hour. The average purchase per customer is $48. The bookstore considers adding another employee to assist the present operator. There are several options to utilize this additional staff. One is to enable more customers to be served in less time, thus increasing the service rate from 30 customers per hour to 40 customers per hour. Alternatively, the bookstore could redesign to add a second cash register, one has its own line. Assume existing customers split evenly between the two cash registers and each has her/his own line, just like most grocery stores. Finally, the bookstore can use this additional staff as a second register but unlike option 2, there is only one combined line shared by these two registers (like most of the bank tellers). Assume the hourly rate for each employee is $20, regardless what job do they perform. Assume that each customer is only waiting for up to 1 minute to be served, or would renege (i.e., leave the store unpurchased). Which option should the bookstore adopt to minimize the total cost?

What is the reciprocal of
2/7?

se the drawing tool(s) to form the correct answer on the provided graph.
A barrel in Jim's yard contains 60 gallons of water. Water leaks out of the barrel at a rate of 1 gallon every 10 minutes.

Create and graph the solution set of the equation for the gallons of water, y, remaining in the barrel in terms of the number of minutes elapsed, x

Ellie must mix 6 tablespoons of plant food for every 2 gallons of water. If she has 6 gallons of water,how much plant food should she use?

solve
0=40+3x
show work please

128.5 divided by 4.5

Two Parallel lines are intersected by a transversal /1 and /2 are alternate exterior angles. The measure of /1 is (5x - 16) the measure of /2 is (4x-2) what is the measure of each angle?
A.m/1=m/2=46
B.m/1=94 and m/2=86
C.m/1=m/2=54
D.m/1=m/2=70

Write in words: 970,001​

Which expression is the simplified form of −10+3x−x−7x+5x+7+2x

Preform the indicated operation 1 1/3 times 3 3/4

Please help!

Read the following scenarios. For each scenario you need to decide which of the following four methods is appropriate.
A. One sample t test
B. Paired samples t test
C. Independent samples t test
D. One-way analysis of variance (ANOVA)
1. A shareholders' group suspects that the mean tenure of corporate chief executive officers (CEO) is significantly greater than the 5 years that CEO supporters claim. The group has hired a statistician who is using information on tenure of the last retired CEO in a sample of 30 corporations to test this claim.
2. All employees in a firm have recently received professional development training that is designed to improve their productivity. A manager wants to know whether or not the post-training productivity differs significantly across low-, medium-, and high-education employees.
3. A computer manufacturer has designed twenty-three prototype microcomputer central processing unit chips, and is using a sample of 506 computers (22 computers carrying each prototype) to evaluate whether the mean processing time differs significantly across the twenty-three prototypes.
4. In a blind taste experiment a group of potential customers were asked to rate the taste of two different coffee brands on a scale of 0 to 10. The experimenter wants to know whether or not on average the ratings differ for the brands.
5. A bank manager wants to know whether or not the average waiting time for bank customers is significantly different between two local branches of that bank.
6. A national auto dealers association claims that the mean price of a used car is $9,987. A used car dealership manager located in the City of Baltimore wants to test this claim using a sample of 45 cars currently parked at the dealership.
7. A computer manufacturer has discovered a method to improve performance of existing CPU chips by coating those chips with a fine layer of a special patented chemical. The manufacturer wants to test the effectiveness of this method in two groups of similar computers. The CPU chips in only one group have received a coating of the special chemical.
8. A computer manufacturer has discovered a method to improve performance of existing CPU chips by coating those chips with a fine layer of a special patented chemical. The manufacturer wants to test the effectiveness of this method in a sample of 54 computers by observing CPU performance before and after applying the coating.
9. A local landscaping business owner wants to test the hypothesis that the mean tree planting time differs significantly from 2 hours for her employees.
10. An educator wants to test the hypothesis that average SAT score in the population is the same in Belgium, Denmark, and Netherlands.
11. Using random state-level household samples, a social scientist wants to know whether or not the mean household size is the same across 50 states in the U.S.
12. It has been claimed that average nursing salaries in Milwaukee, Wisconsin are lower than those in Pittsburgh, Pennsylvania. A medical professional wants to test this claim using a sample of salaries from the two cities.
13. A student government representative at a mid-sized East Coast university wants to test the mean difference in GPA at the beginning and end of the freshman year using a sample of 89 undergraduate students.
14. All employees in a firm have recently received professional development training that is designed to improve their productivity. The training provider claims that such training increases employee productivity by 10%. A firm manager has obtained estimates of change in productivity for 32 employees who received the training, and wants to test the training provider's claim.

A driving range charges $4 to rent a golf club plus $2.75 for every bucket of golf balls you hit. Write an equation
that shows the total cost c hitting b buckets of golf balls.

A running track in the shape of an oval is shown. The ends of the track form semicircles.

A running track is shown. The left and right edges of the track are identical curves. The top and bottom edges of the track are straight lines. The track has width 54 m and length of one straight edge 120 m.

What is the perimeter of the inside of the track? (π = 3.14)

409.56 m
480.00 m
579.12 m
616.80 m