The measures of angle ABC and DBC are 41 degrees and 43 degrees
How to find the measures of the angle ABC and DBC?The angles are given as
Angle ABC = (5x + 1) degrees
Angle DBC = (6x - 5) degrees
Angle ABD = 84 degrees
The angles add up to 84 degrees
So, we have:
ABC + DBC = 84
This gives
5x + 1 + 6x - 5 = 84
Evaluate the like terms
11x = 88
Divide both sides by 11
x = 8
Substitute x = 8 in Angle ABC = (5x + 1) degrees and Angle DBC = (6x - 5) degrees
Angle ABC = (5 x 8 + 1) degrees
Angle DBC = (6 x 8 - 5) degrees
Evaluate
Angle ABC = 41 degrees
Angle DBC = 43 degrees
Hence, the measures of angle ABC and DBC are 41 degrees and 43 degrees
Read more about angles at
https://brainly.com/question/7620723
#SPJ1
f(x) = (½)x + 3
Rate of change ?
End behavior?
The rate of change is 1/2.
the end behavior of the function is:
as x → ∞, f(x) → ∞
as x → -∞, f(x) → -∞
What is the rate of change?
Here we have a simple linear function:
y = (1/2)*x + 3
Remember that for a general linear function we have:
y = a*x + b
Where a is the rate of change and b is the y-intercept.
Then comparing our function with the general one, we can see that the rate of change is 1/2.
Now, because the rate of change is positive, we can see that when x tends to infinity the function also tends to infinity.
And when x tends to negative infinity also does f(x).
Then the end behavior of the function is:
as x → ∞, f(x) → ∞
as x → -∞, f(x) → -∞
If you want to learn more about linear functions:
https://brainly.com/question/4025726
#SPJ1
if a cubic box (all sides the same length) has a volume of 1.0 l, what is the length of each side of the box in cm?
The length of each side of the box is 10 centimeter.
Volume is the amount of space occupied by a three-dimensional figure as measured in cubic units.
Given,
The volume of the cubic box = 1 liter
We know 1 liter= 1000 cubic centimeter
Volume of the cubic box= [tex]x^3}[/tex]
Then,
[tex]x^{3}=1000\\ x=\sqrt[3]{1000}[/tex]
x=10 centimeter
Hence, the length of each side of the box is 10 centimeter.
Learn more about volume here
brainly.com/question/1578538
#SPJ4
what is 0.000 064 3 in standard form
Answer:
the answer is 6.43 × 10-5
Ryan was offered a job after college earning a salary of $60,000. He will get a raise of $4,000 after each year working for the company. Answer the questions below regarding the relationship between salary and the number of years working at the company.
Whoever answers correctly will get Brainliest!!
Answer:
number of years worked, salary, salary, number of years worked, M(x)=4,000x+60,000, M(9)=96,000, switch your very last answer
Step-by-step explanation:
The dependant veriable depends on whatever the independent variable is.
Ryan was offered a job after college earning a salary of $60,000. He will get a raise of $4,000 after each year working for the company.
In this problem, the dependant variable is the salary, because his salary depends on the number of years he's worked.
If you think about it as if it's really happening, it'll make more sense--the longer you work at a job, the more raises you'll get over time.
To put this into an equation, we have to use slope-intercept form: y=mx+b
y is the same as M(x), m is your dependent variable, x is your independent variable, and b is the amount you start with.
Then we just plug the numbers in:
the dependant variable is 4000, independent is the years (which we don't need yet, so it stays as x) and the amount he will start with is 60000
M(x)=4,000x+60000
for M(9), you just plug 9 into x and solve
M(9)=4,000(9)+60000=96,000
Finally, 9 years after being hired, his salary will be 96000 (dollars? I don't know what answer goes here but what you put doesn't really fit)
I really hope I didn't explain that too badly or completely wrong because it's been a bit since I learned this so sorry, but fun fact, I remember doing this exact delta math, and I also remember hating it so good luck
:D
a student receives test scores of 62, 83, and 91. the student's term project score is 88 and her homework score is 76. each test is worth 20% of the final grade, the term project is 25% of the final grade, and the homework grade is 15% of the final grade. what is the student's mean score in the class?
Final answer:
The student's mean score in the class is calculated as 80.6
What is mean in statistics ?The average of a group of variables is referred to as the mean in mathematics and statistics. There are several methods for calculating the mean, including simple arithmetic means (adding the numbers together and dividing the result by the number of observations), geometric means, and harmonic means. The mean represents the average or middle value of all the data in a dataset as a single number. One of many measures of central tendency, it is also referred to as the arithmetic average.
The mean is significant because it reveals the location of the dataset's median value. Because it contains data from each observation in a dataset, the mean is also significant.
Explanation:
Let [tex]x1 = 62, x2 = 83, x3=91, x4=88, x5=76[/tex]
Test scores count for 20% of the grade, final grades for 25%, and homework grades for 15% of the grade. Therefore
[tex]w1 = w2= w3 = 0.20\\w4 = 0.25\\w5 = 0.15[/tex]
[tex]= > \frac{12.4 + 16.6 + 18.2 + 22+11.4}{1}[/tex]
Which becomes,
[tex]= 80.6[/tex]
According to weights proportionate to values in the final grade, the weighted mean yields the mean value. The observed values are multiplied by the weights, which are then divided by the total number of weights.
To learn more about mean , visit ,
brainly.com/question/13196722
#SPJ4
A bus leaves for Faisalabad at 4:30 p.m. It takes 1 hour 25 minutes to reach there .At what time will it reach Faisalabad
In a survey of 232 professional athletes, it was found that 121 of them owned a convertible, 100 of them owned a giant screen tv, and 93 owned a sporting goods store. 18 owned a convertible and a store, 38 owned a tv and a store, and 54 owned a covertible and a tv. 5 owned all three items. how many athletes did not own any of the three items? how many owned a covertible and a tv, but not a store? how many athletes owned a convertible or a tv? how many athletes owned exactly one type of item in the survey? how many athletes owned at least one type of item in the survey? how many owned a tv or a store, but not a convertible?
In a survey of 232 professional athletes, 23 athletes do not own any of the three items. 49 owns a convertible and a tv, but not a store. 163 athletes owns a convertible or a tv. 109 athletes owns exactly one type of item in the survey. 209 athletes owns at least one type of item in the survey. 55 owns a tv or a store, but not a convertible.
Using Venn diagram, a diagram used to present the relationship between sets in a logical form, we analyze the given information.
athletes who do not own any of the three items = 232 - (121 + 100 + 93) +(54 + 38 + 18) - 5 = 23
athletes who owns a convertible and a tv, but not a store = 54 - 5 = 49
athletes who owns a convertible or a tv = (121 + 93) - (18 + 38 - 5) = 163
athletes who owns exactly one type of item in the survey = (121 - 54 - 18 + 5) + (100 - 38 - 54 + 5) + (93 - 18 - 38 + 5) = 109
athletes who owns at least one type of item in the survey = 121 + 100 + 93 - 54 - 38 - 18 + 5 = 209
athletes who owns a tv or a store, but not a convertible = (100 - 54 -38 + 5) + (93 - 18 - 38 + 5) = 55
See attached photo for reference.
Learn more about Venn diagrams here: https://brainly.com/question/24713052
#SPJ4
The initial population of a small town was 2.53 thousand. The population grows at a rate of 2.15% each year. After how many years will the population have doubled?
The number of years that the population has doubled will be 33 years.
What is an exponent?Consider the function:
y = a (1 + r) ˣ
Where x is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.
A little town had a population of 2.53 thousand upon its founding. The population increases by 2.15% annually. Then the equation will be
y = 2.53(1.0215)ˣ
The number of years that the population has doubled will be
2 × 2.53 = 2.53(1.0215)ˣ
2 = (1.0215)ˣ
x ln1.0215 = ln2
x = 32.58 ≈ 33 years
The number of years that the population has doubled will be 33 years.
More about the exponent link is given below.
https://brainly.com/question/5497425
#SPJ1
NEED THIS ASAP THIS IS DUE TONIGHT PLEASE HELP!!!!
All students in Ridgewood Junior High School either get their lunch in the school cafeteria or brought it from home on Tuesday. 4% of students brought their lunch. 44 students brought their lunch. How many students in total are in Ridgewood Junior High School?
Answer:
1100. because the 4% and 44 are the same thing 4% goes into 100% 25 times then 44 times 25 is 1100
PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
D. A monthly truck payment
Please I really need help on this!!!!
Answer:
502.7 cubic units
Step-by-step explanation:
When a rectangle is rotated about the side, a cylinder is formed.
Height of the cylinder will be the length of the rectangle of the side about rotated.
Height = h = VY = 10 units
Radius = r = VW = 4 units
[tex]\sf \boxed{\bf Volume \ of \ cylinder = \pi r^2h}[/tex]
= 3.142 * 4 * 4 * 10
= 502.7 cubic units
The table shows a proportional relationship between x and y. x 1 2 3 y 3 6 9 The proportionality constant (y to x) is .
Answer:
x = 1, y = 3.
Step-by-step explanation:
1/3
2/6
and
3 to 9
are all the same.
5x+3-2x=7x+3 sometimes always never
The true statement is sometimes true
How to determine the true statement?The equation is given as
5x + 3 - 2x = 7x + 3
Evaluate the like terms on each side of the equation
So, we have
3x + 3 = 7x + 3
Evaluate the like terms on both sides
4x = 0
Divide both sides by 4
x = 0
This means that the equation is only true when x = 0
Hence, the true statement is sometimes true
Read more about equations at
https://brainly.com/question/13763238
#SPJ1
Record which place digit it is in the number below
Answer:
1: is in the million
6: is in the hundred thousand
7: is in the ten thousand
5: is in the thousand
8: is in the hundred
9: is in the ten
2:is in the one
Find the values of a through e that make these two relations inverses of each other.
a=
b=
c=
d=
e=
DONE✔
2 of 11
-3.8
b
-1.4
-0.2
1.0
y
-3.1
3.2
с
4.4
5.0
x
-3.1
3.2
1.7
d
5.0
ע
a
-2.6
-1.4
-0.2
Answer:
hmm I'm pretty sure a is 3.2
Help asap! 45 pts!
What is the third reason in the angle proof?
∠2≅∠3 because ∠1≅∠2 and ∠1≅∠3. Hence proved.
Given that, AD bisects ∠BAC and ∠1≅∠3.
What is an angle bisector?An angle bisector is defined as a ray, segment, or line that divides a given angle into two angles of equal measure. The word bisector or bisection means dividing one thing into two equal parts.
Since AD bisects ∠BAC, ∠BAD=∠DAC.
That is ∠1≅∠2 (AD bisects ∠BAC into two equal angles)
Since ∠1≅∠2 and ∠1≅∠3 (given)
We get, ∠2≅∠3
∠2≅∠3 because ∠1≅∠2 and ∠1≅∠3. Hence proved.
To learn more about the angle bisector visit:
brainly.com/question/12896755.
#SPJ1
Which drivers race times were the most variable
Driver A had a mean race time of 4.01 seconds and a standard deviation of 0.05
Driver B had a mean race time of 3.96 seconds and a standard deviation of 0.12
Driver C had a mean race time of 3.99 seconds and a standard deviation of 0.19 seconds
Please help I need this by today
Driver C and Driver B are variable
Is 13/16 a real number
Nathan and Steven stacked boxes on a shelf. Nathan lifted 13 boxes and Steven lifted 15 boxes. The boxes that Nathan lifted each weighed 12 lb more than the boxes Steven lifted.
Let s represent the weight of the boxes that Steven lifted.
Which expression represents the total number of pounds Nathan lifted?
A. s + 12
B. 15(s+12)
C. 12(s+13)
D. 13(s+12)
Answer:
we assume the two boys lifted the same amount of weight of boxes. Let s be the weight of the boxes Steven lifted. Hence,
Step-by-step explanation:
13 ( s+12) = 15 s
where s + 12 means that the box lifted by Nathan weighed 12 more than that of Steven.
we solve,
s = 78 pounds
such that Nathan's is 90 pounds.
G(x) = 2x + 9
G=15
Do you know how g=15
Answer:
(x)=6
Step-by-step explanation:
2x3=69+6=15so your answer should be 6 for (x) so you could get g=15HELP FAST PLEASE!!!!!!!
Answer: The answer is triangle ABC ~ triangle EDC because m<3=m<4 and m<1=m<5.
Step-by-step explanation: The reason this would be is that both triangles are equilateral, so all the sides are the same.
Now that we know that the triangles are similar to each other, then we can eleminate the last two answers. The best possible answer would be triangle ABC ~ triangle EDC because m<3=m<4 and m<1=m<5.
find d using the equation
The distance between the coordinates G(8, -2) and H(-1, 4)is; 10.82
How to find the distance between two coordinates?We are given the two coordinate points as;
G(8, -2) and H(-1, 4)
The formula to find the distance between these two given coordinates is;
d = √[(x2 - x1)² + (y2 - y1)²]
Plugging in the relevant values gives;
d = √[(-1 - 8)² + (4 - (-2))²]
d = √(81 + 36)
d = √117
d = 10.82
Thus, the distance between the coordinates G(8, -2) and H(-1, 4)is; 10.82
Read more about Distance between two coordinates at; https://brainly.com/question/7243416
#SPJ1
Find the exact solution of x.
X²=16
X=4
No solution
X=_+4
X=-4
Answer:
(-4, 4)
Step-by-step explanation:
x can be either negative 4 or positive 4. A negative number squared is a negative number times a negative number, which will be a positive number.
Stella earned a grade of 62% on her multiple choice history final that had a total of 200 problems. How many problems on the final exam did Stella get wrong?
Answer: 76 problems wrong
Step-by-step explanation:
62%=
62/100=0.62
0.62*200=124 problems right
200-124=76 problems wrong
Solve the equation for the red variable.
please help :(
Answer:
V = [tex]\frac{Bh}{3}[/tex]
Step-by-step explanation:
B = 3 × [tex]\frac{V}{h}[/tex] ( multiply both sides by h to clear the fraction )
Bh = 3V ( divide both sides by 3 )
[tex]\frac{Bh}{3}[/tex] = V
What tells us how many steady beats go in a measure?
Answer:
You'll spot the time signature in the beginning of the music – it's two numbers stacked vertically. The top number tells you how many beats there are in one measure.
Step-by-step explanation:
hope it helps
There are 5 adults and 8 children in a group. what is the total cost for the group to ride the Ferris wheel??
If a group of 5 adults and 8 children, went for a ride of the Ferris wheel, and if the ticket cost $1 per person, irrespective of age, then total cost of tickets for the whole group will be $13.
As per the question statement, a group of 5 adults and 8 children, went for a ride of the Ferris wheel and the ticket costed $1 per person, irrespective of age.
We are required to calculate the total cost of tickets for the whole group.
Since the ticket cost was same for persons of all ages, therefore, total members of the group who wanted to ride the Ferris wheel was
(8 + 5) = 13.
As per the Unitary method, we have to calculate the value of 13 tickets from the data on the value of a single ticket provided to us in the question statement, i.e., we simply need to multiply the number of tickets with the cost of a single ticket to obtain our desired answer.
Therefore, cost of 13 tickets with each ticket costing $1 is [tex](13*1)=13[/tex] Dollars.
Unitary Method: In Mathematics, the unitary method is a technique of solving a problem, where first, we find the value of a single unit, and then find the required value by multiplying the value of the single unit.To learn about Unitary Method, click on the link below.
https://brainly.com/question/23423168
#SPJ9
Lisa's father has a large collection of ties. he has 16 ties and 6 of them are blue. if lisa's father chose a tie at random, what is the probability that the tie would be blue?
If Lisa's father randomly pick a tie among his 16 ties, the probability it will be a blue one is 3/8
Probability is a measure how likely an event will happen. The probability of an event A is defined as the number of event A divided by the number of all possible outcomes. Mathematically,
P(A) = n(A)/n(S)
Where:
n(A) = number of event A
n(S) = number of all possible outcomes or sample space.
In the given problem:
Number of all ties = 16
Number of blue ties = 6
Hence, when a tie is picked up randomly, the probability it will be a blue one is:
P(blue) = (number of blue ties) / (number of all ties)
P(blue) = 6/16 = 3/8
Learn more about probability here:
https://brainly.com/question/24830485
#SPJ4
Find each unit rate. Round answers to hundreds
3) $57 for 6 hours of work
The unit rate is $9.50 per hour
A unit means one of several things. A unit rate means a rate for one thing. We write it as a ratio with the denominator being one.For example, if you run 70 meters in 10 seconds, on average you have run 7 meters in 1 second. Both rates, 70 meters in 10 seconds and 7 meters in 1 second, are ratios, but 7 meters in 1 second are unit rates. The unitary method is a method in which you find the value of one unit and then the value of a required number of units.Suppose you go to the market to buy 6 apples. The trader tells you that he is selling 10 apples for Rs 100. In this case, the number of apples is the unit and the price of the apples is the value.
As the rate for 6 hrs. is $57,
the rate is 57/6=(3×19) / (3×2)
=19/2
=9.50
The unit rate is $9.50 per hour
Learn more about unitary method here
https://brainly.com/question/24587372
#SPJ9
Please help with problem 24
Answer: Domain: All real numbers
Range: y<-2, y>=0
Step-by-step explanation:
Domain: All real numbers ==> x can be less than zero and greater than or equal to zero.
Range: y<-2, y>=0
-x-2, x>0
-x-2+2, x>2
-x, x>2
x, x<-2
y, y<-2
-x, x<=0
x, x>=0
y, y>=0
Answer:
Step-by-step explanation:
Domain 5
range 2