Answer:
Step-by-step explanation:
lets assume that the month has 4 weeks
12h/week with 9 dollars/hour
week=12*9=108
108+15=123
123*4 weeks=492 dollars month total income
Answer:
492
Step-by-step explanation:
9*12=108. I used January for this. there 4 weeks in it. so !08*4+15*4=492
A state began an effort to increase the deer population. In year 2 of the effort, the deer population in a state forest was 1,200. In year 4, the population was 1,728.
The explicit rule for the geometric sequence is:
Answer:
nth term = 1000×1.2ⁿ⁻¹
Step-by-step explanation:
The explicit rule for the given geometric sequence is aₙ = a₁rⁿ⁻¹ = 1000 x 1.2ⁿ⁻¹
What is a geometric sequence?A geometric sequence is a special type of sequence where the ratio of every two successive terms is a constant.
Given that, in two years the deer population in a state forest was 1,200. In year 4, the population was 1,728,
Therefore,
a₄ = 1728 and a₂ = 1200
We have two terms of the GP, therefore, finding r,
r² = 1728 / 1200 = 1.44
r = 1.2
Therefore,
a₁ = a₂r¹⁻²
= 1200r⁻¹ = 1200/r
= 1200 / 1.2 = 1000
Therefore, the formula will be = aₙ = a₁rⁿ⁻¹ = 1000 x 1.2ⁿ⁻¹
Hence, the explicit rule for the given geometric sequence is aₙ = a₁rⁿ⁻¹ = 1000 x 1.2ⁿ⁻¹
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Select all the logarithmic expressions that have been evaluated correctly, to the nearest thousandth.
The logarithmic expressions are log6 with base 3 and log5 with base 4.
What is logarithmic function?
It is the inverse of the exponential functions. It is equal to y=㏒x.
How to solve logarithmic functions?
A) log 8 with base 3=log8/log3=0.903089987/0.4771212547=1.8927
B) log 6 with base 3=log6/log3= 0.77815125038/0.4771212547=1.6309
C) log 5 with base 4=log5/log4=0.69897000433/0.60205999132=1.1609
D) log 32 with base 2=log32/log2=1.50514997832/0.30102999566=5
E) log 7 with base 4=log 7/ log 4=
=0.84509804001/0.60205999132=1.403
Hence the required logarithmic expressions be on B and C.
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A number consists of two digits. The digit at the ten's place is
two times the digit at the unit's place. The number formed by
reversing the digit is 27 less than the original number. Find
the original number?
[CMAT 2011]
9514 1404 393
Answer:
63
Step-by-step explanation:
Reversing the digits changes the value by a factor of 9 times the difference in the digit values. Here, this means the digits differ by 27/9 = 3. If one digit is double the other, the higher digit is 2×3 = 6.
The number is 63.
_____
If you like, you can work through the algebra of it. Let the original number have tens digit x and ones digit y.
original number value = 10x +y
reversed number value = 10y +x
difference of values = 27 = (10x +y) -(10y +x) = 9(x -y)
The tens digit is twice the ones digit, so we have ...
x = 2y
Substituting in the difference equation, we have ...
27 = 9(x -y)
3 = (2y -y) = y . . . . . divide by 9, substitute for x
x = 2(3) = 6
The number is 10x+y = 63.
What is the fraction equivalent of 2.151515?
Answer:
430303/200000
Step-by-step explanation:
hope this helps!!!
If brownies are $1.80 each how much is that for 10 brownies
Answer:
18 just move the decimal because there is one zero
What is the slope of the line
Answer:
b
Step-by-step explanation:
the slope is 7 bc of y=mx+b. m is the slope
Which ordered pairs show the location of the Empire State Building? Check all that apply. (1 and one-half, 1) (1, 1 and one-half) (–1.5, –1.0) (1.5, 1.0) (1.0, 1.0) nevermind
I know you said never mind but the answer is a and d if it's wrong im sorry but i got it right on mine
Answer: a & d
Step-by-step explanation:
PLEASE HELPP! WORTH 21 POINTS AND I WILL MARK BRAINLIEST!!!
Answer:
8 pizz an chick 6
Step-by-step explanation:
Help? I cannot get my head around it.
Answer:
60cm³
Step-by-step explanation:
What is the quotient of 6.16 divided
by 1.1?
Answer:
5.6
Step-by-step explanation:
Evaluate the expression 4x+3-x for
x=8
PLEASE HELP ME!
Answer:
x + 3 =8 x 4 =32 so your answer is 32 sorry for he wait
Step-by-step explanation:
x =5
3
Which is the best estimate for the percent equivalent to 3/8
000
26%
27%
37%
38%
The Answer is C
Also 37%
I need help thank you
Answer:
Maybe three
Step-by-step explanation:
Im not sure
The product of two numbers is 42.63. If one number is 21. What is the other number
Answer:
21.63 is the other number
Step-by-step explanation:
21 + 21.63 equals 42.63
Answer:
Hi dear. I'm helping you to solve the question and in return you help me with my question.
Step-by-step explanation:
Question : The product of two numbers is 42.63. If one number is 21. What is the other number?
Solution :-
Product of two numbers = 42.63
One of the number = 21
Therefore , the other number = 42.63 ÷ 21 = 2.03
Hope my solution helps you and don't forget to help me with maths questions in return...
1/2x -5-1/3y when x =48 and y=15
A group of 28 students wants to go on a bus trip. The cost of the bus is $220. $94 dollars will be paid by one parent and the rest of the cost will be paid for by the students. Select the correct equation to represent this scenario from the options below. Group of answer choices LaTeX: 28x+94=22028 x + 94 = 220
LaTeX: 28x-94=22028 x − 94 = 220
LaTeX: 94x+28=22094 x + 28 = 220
LaTeX: 94x=22094 x = 220
Answer:
c
Step-by-step explanation:
I need help bad!!!!!!! Question: Angle ABC and angle DEF are supplementary. If
Answer:
Angle ABC and angle DEF are supplementary if and only if they add up to 180 degrees
can you guys please help me
9514 1404 393
Answer:
see below
Step-by-step explanation:
Each vertex has a single-letter label.
Each edge joins two vertices, and is named by naming those two vertices.
Each polygon is named by listing the vertices at its corners. It is a plane figure.
The base is the polygon opposite the point where all of the triangles come together.
__
16. figure: pentagonal pyramid ABCDEF
17. base: ABCDE
18. faces: ABF, BCF, CDF, DEF, AEF, ABCDE (the bottom face, or base)
19. edges: AB, BC, CD, DE, AE, FA, BF, CF, DF, EF
20. vertices: A, B, C, D, E, F
Find: 1. three quartiles and 2. interquartile range (IQR).
1, 3, 9, 12, 12, 14, 18
The position of Q1 is the 2th number. Q1 is 3.
The position of Q2 is the 4th number. Q1 is 12.
The position of Q3 is the 6th number. Q1 is 14.
IQR is 11.
What are the required values?The first quartile, second quartile and the interquartile range are used to measure the variation of data. Median is a measure of central tendency. Median is the number at the center of the dataset.
Q1 = 1/4 x (n + 1)
1/4 x 8 = 2nd number = 3
Q2 = 1/2 x (n + 1)
1/2 x 8 = 4th number = 12
Q3 = 3/4 x (n + 1)
3/4 x 8 = 6th number = 14
IQR = Q3 - Q1
14 - 3 = 11
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pls help
Which graph represents a linear function?
Answer: The second one
Step-by-step explanation:
Lineair is always a straight line, think of it as a “line in the air”
Answer:
the second one
Step-by-step explanation:
its a straight line
What is the total area? Use 3 for Pi.
answer fast pls! xx
Answer:
146.3m²
Step-by-step explanation:
area of quarter circle=1/4π×8²
=50.3m²
area of the square=s²
8×8=64m²
area of the triangle=1/2bh
1/2×8×8=32m²
total area=50.3+64+32=146.3m²
It is estimated that 3% of the athletes competing in a large tournament are users of an illegal drug to enhance performance. Athletes are tested to see if they are using illegal drugs or not using illegal drugs and the test can come back positive or negative. The test for this drug is 90% accurate for non-drug users (this means there is a 90% chance the test comes back negative if the person is a non-user). What is the probability that an athlete tests negative and is not a user of an illegal drug
Answer:
0.873 = 87.3% probability that an athlete tests negative and is not a user of an illegal drug
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Not a user of an illegal drug.
Event B: Tests negative.
The test for this drug is 90% accurate for non-drug users (this means there is a 90% chance the test comes back negative if the person is a non-user)
This means that [tex]P(B|A) = 0.9[/tex]
It is estimated that 3% of the athletes competing in a large tournament are users of an illegal drug to enhance performance.
So 100 - 3 = 97% probability that the athlete does not use the drug, so [tex]P(A) = 0.97[/tex]
What is the probability that an athlete tests negative and is not a user of an illegal drug
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
[tex]P(A \cap B) = 0.9*0.97 = 0.873[/tex]
0.873 = 87.3% probability that an athlete tests negative and is not a user of an illegal drug
combine like terms to make a simple Hi, equivalent expression: 14-3+8x+7x
Answer:
11+15x
Step-by-step explanation:
combine 14 - 3 and 8x + 7x = 11 + 15x
help loll i’m confused
11. Silvaro borrowed $89.40 from his brother. He determines that he can pay him back
in six weeks. What effect will Silvaro's repayment have on his weekly bank account?
Answer: 14.90$ weekly deduction
Step-by-step explanation:
Answer:
$14.9 deduction
Step-by-step explanation:
Silvaro borrowed $89.40 from hsi brother
Silvaro decided that he will pay him back the money in six months of allowance.
Therefore the effect of the payment in his bank account can be calculated as follows.
= $89.40/6
= $14.9
Hence the payment will have a deduction of $14.9 from his monthly bank account
Hope it helps and if it does mark me brainliest.
2 Evaluate the following expression whenx = 2.
2+7x+2
A. 24
B. 22
C. 10
D. 9
Answer:
a is the answer bye bye hope that helps you
Define/explain the Pythagorean theorem.
Answer: The Pythagorean theorem consists of a formula a^2+b^2=c^2 which is used to figure out the value of (mostly) the hypotenuse in a right triangle. It's a fundamental relation in Euclidean geometry among the three sides of a right triangle.
Step-by-step explanation:
Answer:
Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the legs.
Elena went 60 meters in 50 seconds. Noah went 50 meters in 10 seconds. Elena and Noah both moved at a constant speed. Who went faster? Explain your reasoning.
A class is collecting data on the number of pets each student has. The class is divided into 4 groups. Which table shows the group of students with the greatest mean number of pets?
Answer:
The group of students on the top right those students have a mean of 2.6
Step-by-step explanation:
The mean is adding up all the different numbers of pets for each kid and dividing it by the number of kids so 13 the number of pets and 5 the number of different students
1. Find the area of the composite figure. Heellllppppp
Answer: 24
Step-by-step explanation:
Basically you just need to add the sides up to get your answer, its like breaking it up and adding simply.
Please help don’t guess pick answer in the bottom please I’m begging you I need this grade!!! 40pts!!!
Answer:
1) x/4 < 4 ⇒ x < 4*4 ⇒ x< 16
x = 4, 8, 122) x + 3 ≥ 15 ⇒ x ≥ 12
x = 123) 19 > x + 4 ⇒ 15 > x ⇒ x < 15
x = 4, 144) 12 ≥ 6x ⇒ 2 ≥ x ⇒ x ≤ 2
x = 1, 25) 7x ≤ 21 ⇒ x ≤ 3
x = 1, 2, 36) 5 + x < 7 ⇒ x< 2
x = 17) x - 5 < 17 ⇒ x < 22
x = 9, 14, 158) 3x ≥ 18 ⇒ x ≥ 6
x = 6, 119) 20 > x + 9 ⇒ 11 > x ⇒ x < 11
x = 4, 8