Answer:
Distributive Property.
Step-by-step explanation:
You distribute the 2 to each of the terms.
the four fastest times in a race were 27.08 seconds 27.88 seconds 27.8 seconds and 26.78 seconds between which two times does 27.84 belong
what appear to be the next two terms in this sequence
18, 24, 32, 128/3.....
Answer: 512/9 and 6,144/81
Step-by-step explanation:
The sequence is:
18, 24, 32, 128/3, ...
Now, is easy to see that it is not an arithmetic sequence, so we can jump to see if this is a geometric sequence.
To see this, we must see at the quotient of two consecutive numbers in the sequence, and that quotient must be the same for any pair of consecutive elements.
24/18 = 1.33...
32/24 = 1.33...
(128/3)/32 = 1.33....
The quotient is constant, then this is a geometric sequence.
Then we can write the n-th term as:
Aₙ = Aₙ₋₁*1.33...
And we first should write 1.33 in a way that is easier to use:
1.33... = 1 + 0.33...
The left side can be writen as:
0.33... = 0.33...*(10/10) = (3.3.../10)
Now we can subtract the initial number:
(3.33..../10) - 0.33... = 3/10 = 0.33...*(9/10)
0.33... = (3*10)/(9*10) = 30/90 = 3/9
then we have:
1.33... = (1 + 3/9) = (9/9 + 3/9) = (12/9)
Then the two next terms are:
(128/3)*(12/9) = 128*4/9 = (512/9)
And the next term is:
(512/9)*(12/9) = (6,144/81)
Then the first six terms are:
18, 24, 32, 128/3, 512/9, 6,144/81
cube-shaped art sculpture has a volume of 64 cubic
eet. What is the length of each edge of the cube? How can you find the cube root 64?
Find mDCAˆ. the question says that the angle is 3x+19 the smaller arc is 91 and the bigger is 17x-3 it is one of those problems were the difference in the arcs divided by two equals the angle
Answer: Option C.
Step-by-step explanation:
Let as consider the below figure is attached below.
We know that angle between tangent and secant is half of difference of major and minor arcs.
[tex]\angle ABC=\dfrac{arc(AD)-arc(AC)}{2}[/tex]
[tex]3x+19=\dfrac{17x-3-91}{2}[/tex]
Multiply both sides by 2.
[tex]6x+38=17x-94[/tex]
[tex]38+94=17x-6x[/tex]
[tex]132=11x[/tex]
Divide both sides by 11.
[tex]12=x[/tex]
The value of x is 12.
[tex]arc(AD)=17(12)-3[/tex]
[tex]arc(AD)=204-3[/tex]
[tex]arc(AD)=201^{\circ}[/tex]
Now,
[tex]arc(DCA)=360^\circ-arc(AD)[/tex]
[tex]arc(DCA)=360^\circ-201^{\circ}[/tex]
[tex]m\widehat {DCA}=159^{\circ}[/tex]
Therefore, the correct option is C .
(True or False) ((22)3) = 25.
Answer:
22*3=66
Flase
Step-by-step explanation:
The equation ((22)3) = 25 is false.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is ((22)3) = 25.
We have to check whether the left hand side is equal to right hand side.
If the LHS and RHS are equal then the equation is true.
If not then it is false.
The value in LHS is 22×3 = 66
The value in RHS is 25
66 is not equal to 25
Hence, the equation ((22)3) = 25 is a false statement.
To learn more on Equation:
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If there are 7533 students at Rocky Valley College and 1/3 of the students take speech, how many students take speech at Rocky Valley College?
Answer:
no of student take speech at college = 1/3*7533=2511
Step-by-step explanation:
Can someone help me with this question?
Answer:
6×2/5 --> greater than 1
1×3/8 --> less than 1
4×1/4 --> equal to 1
5×3/4 --> greater than 1
2×1/2 --> equal to 1
3×1/3 --> equal to 1
Step-by-step explanation:
6×2/5 = 12/5 = 2 2/5
1×3/8 = 3/8
4×1/4 = 1
5×3/4 = 23/4 = 5 3/4
2×1/2 = 1
3×1/3 = 1
2+98635.984463-97.8÷75.6+347+2363743769= PLEASE HELP!!
Answer:
122620.6908
Step-by-step explanation:
Just follow PEMDAS and it's not hard at all.
Answer:
Step-by-step explanation:
which expression represents exponential decay
A. Y=1/100 (31)x
B. Y=1/10 (3.1)x
C. Y=10(0.13)x
D. Y=100(1.03)x
Given:
The exponential equations in the options.
To find:
The equation which represents exponential decay.
Solution:
The general exponential equation is
[tex]y=ab^x[/tex]
where, a is initial value and b is growth rate.
If b<1, then it is an equation of exponential decay.
If b>1, then it is an equation of exponential growth.
In option A, b=31>1, i.e., exponential growth.
In option B, b=3.1>1, i.e., exponential growth.
In option C, b=0.13<1, i.e., exponential decay.
In option D, b=1.03>1, i.e., exponential growth.
Only [tex]y=10(0.13)^x[/tex] represents exponential decay.
Therefore, the correct option is C.
PLEASE HELP ME SOLVE THIS ASAP WITH WORK!!
Answer:
6
Step-by-step explanation:
If you multiply a number from the big polygon by 2/3s, you will get the corresponding number on the small polygon. For example, 6 × 2/3 = 4To find x, find the corresponding number on the big polygon and multiply it by 2/3s. The number on the big polygon is 9. 9 × 2/3 = 6I hope this helps!
Find the perimeter P of ▱JKLM with vertices J(−3,−2), K(−5,−5), L(1,−5), and M(3,−2). Round your answer to the nearest tenth, if necessary.
Given:
Vertices of JKLM are J(−3,−2), K(−5,−5), L(1,−5), and M(3,−2).
To find:
The perimeter P of a parallelogram JKLM.
Solution:
Distance formula:
[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Using distance formula, we get
[tex]JK=\sqrt{\left(-5-\left(-3\right)\right)^2+\left(-5-\left(-2\right)\right)^2}[/tex]
[tex]JK=\sqrt{\left(-5+3\right)^2+\left(-5+2\right)^2}[/tex]
[tex]JK=\sqrt{\left(-2\right)^2+\left(-3\right)^2}[/tex]
[tex]JK=\sqrt{4+9}[/tex]
[tex]JK=\sqrt{13}[/tex]
Similarly,
[tex]KL=\sqrt{\left(1-\left(-5\right)\right)^2+\left(-5-\left(-5\right)\right)^2}=6[/tex]
[tex]LM=\sqrt{\left(3-1\right)^2+\left(-2-\left(-5\right)\right)^2}=\sqrt{13}[/tex]
[tex]JM=\sqrt{\left(3-\left(-3\right)\right)^2+\left(-2-\left(-2\right)\right)^2}=6[/tex]
Now, perimeter P of ▱JKLM is
[tex]P=JK+KL+LM+JM[/tex]
[tex]P=\sqrt{13}+6+\sqrt{13}+6[/tex]
[tex]P=2\sqrt{13}+12[/tex]
[tex]P=2(3.61)+12[/tex]
[tex]P=7.22+12[/tex]
[tex]P=19.22[/tex]
[tex]P\approx 19.2[/tex]
Therefore, the perimeter P of ▱JKLM is 19.2 units.
What is the difference?
77 – 43.6 =
A. 23.3
B. 33.4
O C. 34.6
OD. 44.1
Answer:
B. 33.4
Step-by-step explanation:
77 - 43.6 = 33.4
Divide -4-i/2+3i i , write answer in standard form a + bi This is a multiple choice question, pick one of the choices for your answer.
-11/13 + 10/13 i
-11/13 - 10/13 i
-11/5 + 2i
-11/5 -2i
Answer:
Step-by-step explanation:
[tex]\frac{-4 - i}{2 + 3i} * \frac{2 - 3i}{2 - 3i} = \frac{-8 + 12i - 2i + (3i)^{2} }{4 - 3i^{2} } = \frac{-11 - 10i}{4 + 9}= \frac{-11 - 10i}{13}[/tex]
the answer is b
A recent survey shows that the probability of a college student drinking alcohol is 0.6. Further, given that the student is over 21 years old, the probability of drinking alcohol is 0.8. It is also known that 30% of the college students are over 21 years old. Of the students who are not over 21, what is the probability they drink alcohol? Group of answer choices
Answer: 0.5143
Step-by-step explanation:
Probability of students who are over 21 years old = 30% = 0.3
Probability of students who are under 21 years old = 100% - 30% = 70% = 0.7
Probability of drinking alcohol for over 21 = 80% = 0.8
Probability of not drinking alcohol for over 21 = 100%- 80% = 20% = 0.2
Let the probability of the students who are not over 21, that drink alcohol be p.
Total probability of a college student drinking alcohol = (0.3 × 0.8) + (0.7 × p)
0.6 = (0.3 × 0.8) + (0.7 × p)
0.6 = 0.24 + 0.7p
0.7p = 0.6 - 0.24
0.7p = 0.36
p = 0.36/0.7
p = 0.5143
The probability of the students who are not over 21, that drink alcohol is 0.5143.
manuel works at cheese cake king. He earns $15 per hour as a busboy. the waiters he helps give him 25% of their tips.
a) if manuel worked 6 hours today, how much did he earn, without tips?
b) the waiters mauel assited waited on 16 tabels, and the total bill from all the these tabels was $1,188. the waitress earned 15% in tips, and 25% of these earnings to manuel. How much money did manuel make in tips?
c)what was manuel's total salary for the day?
d) what was manuel's average ernings per hour, including tips? round to the nearest cent
Answer:
a. 90
b. 44.55
C. 134.55
D. 22.42
Step-by-step explanation:
A. 6*15 = 90
B. 15 % of 1188 is 178.2, and 178.2 divided by 4 (0.25%) is 44.55
C 90 + 44.55 = 134.55
d. 134.55 divided by 6 hours worked is 22.42
a. The earning should be 90.
b. The money that should be made is 44.55.
c. The total salary for the day is 134.55
d. The Manuel average earnings per hour, including tips is 22.42
Calculation of the earning, money, total salry, and average earnings per hour:a.
The earnings should be
= 6(15)
= 90
b. The money made should be
The 15% of 1188 should be 178.2
Now we have to divide the 178.3 from 4 so it comes 44.55.
c. The total salary should be
= 90 + 44.55
= 134.55
d. The average earnings per hour should be
Here 134.55 divided by 6 hours = 22.42
Learn more about earnings here: https://brainly.com/question/24512296
choose the congruent angles on the triangle shown below
Answer:
I think it would be angles A and B.
Hope this helps!
need help asap (8u^9)^2 must have only one exponent plssss help me
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ {8u}^{18}}}}}} [/tex]
Step-by-step explanation:
Using the power to power law of indices
i.e When an algebraic term in the index form is raised to another index , the base is raised to the product of two indices.
Now, Let's simplify
[tex] \star \: \sf{({8u}^{9})^{2} }[/tex]
[tex] \dashrightarrow{ \sf{(8 {u})^{9 \times 2}}} [/tex]
[tex] \dashrightarrow{ \boxed{ \sf{ {8u}^{18}}}} [/tex]
Hope I helped!
Best regards! :D
Given y=2x+8, determine the value of y when x=3
Answer:
y = 14
Step-by-step explanation:
Given x plug in 3 for x
y = (2times3) + 8
y = 6 + 8
to cheak ur awsner plug in y as 18 and solve for x
Answer:
x=3 so y=2*3+8
=6+8
=14
40.4 x 18=? Please help
Answer:727.2
Step-by-step explanation:40.4x18=727.2
If r objects are being selected from a group of n distinct objects and order does matter, then this arrangement is known as a
Answer:
Permutation
Step-by-step explanation:
The term to describe the given statement is permutation.
When defining permutation, certain keywords such as order does matter and arrangement are used to describe permutation.
Take for instance:
The arrangement of 3 boys on a seat
Ways 4 friends can sit to take photographs
...are examples of permutation
Permutation of r objects in n distinct objects is calculated as:
[tex]^nP_r = \frac{n!}{(n -r)!}[/tex]
What is the inverse of the function f (x) = x2 - 49?
Answer: [tex]f^{-1}(x)=\sqrt{x+49}[/tex]
Step-by-step explanation:
To find the inverse of a function, you want to switch the x with y and y with x. After that, you solve for y.
y=x²-49 [switch x with y and y with x]
x=y²-49 [add both sides by 49]
x+49=y² [square root both sides]
[tex]y=\sqrt{x+49}[/tex]
Now, we know that [tex]f^{-1}(x)=\sqrt{x+49}[/tex].
What is the equivalent expression to 4(5+7) PLEASE HELP
Answer:
4 × 5 + 7
Step-by-step explanation:
I did the math.
.....
Answer:
Expression: 20 + 28, Answer: 48
Step-by-step explanation:
Distributive Property
4 * 5 + 4* 7
Expression: 20 + 28
Answer: 48
Find the absolute value of negative 18.
Answer:
Step-by-step explanation:
I - 18I = 18
I - xI = x
Answer:
positive 18
Step-by-step explanation:
The absolute value of any number is just how far that number is from 0 on a number line
here are a few examples
|-23| = 23
|47| = 47
|-11| = 11
As you can see, in all 3 examples all numbers are positive.
To make it easier to understand, the absolute value of any numer is that number, but positive. Absolute values will always be positive no matter what.
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What is the related rate of the ratio 90 to 3?
Answer:
30:1
Step-by-step explanation:
90:3
90÷3=30
3÷3=1
=30:1
88 students for 4 classes
what is the unit rate?
Answer:
22
Step-by-step explanation:
Answer:
22/1
Step-by-step explanation:
solve for p in the literal equation 8p+5r=q
PLEASE HELPPP!!! THANK YOU SOO MUCH ILY!!!!!!!
Answer:
1) Variables = 11a , 4a
Constants = 0
Coefficients = 11 , 4
2) Variables = 3x , 7x
Constants = 6 , -4
Coefficients = 3 , 7 , 6 , -4
3) Variables = -12m , +4m
Constants = -3 , 16
Coefficients = -12 , 4 , -3 , 16
4) Variables = 6k , k
Constants = -4 , -2
Coefficients = 6 , 1 , -4 , -2
5) Variables = -5p , -2p
Constants = 3 , 13
Coefficients = -5 , -2 , 3 , 13
6) Variables = -10r , -r , -6r
Constants = 11
Coefficients = -10 , -1 , -6 , 11
7) Variables = -5n
Constants = 19 , -8 , 14
Coefficients = -5 , 19 , -8 , 14
8) Variables = 13y , -2y
Constants = 18 , -5
Coefficients = 13 , -2 , 18 , -5
9) Variables = 8a , 3a , -7b , -2b
Constants = 1
Coefficients = 8 , 3 , -7 , -2 , 1
10) Variables = 11x , 2x , -4y
Constants = 8
Coefficients = 11 , 2 , -4 , 8
Step-by-step explanation:
HELP I'm really stupid and I need an answer to this fast!
Answer:
160in^2
Step-by-step explanation:
Pls choose mine as brainliest.
(HELP ASAP) Maria records her distance from home over time. The values are shown in the table below. Find her average speed over the first 4 hours.
Answer:
Step-by-step explanation:
Average=total distance/totaltime
=60+110+180+220/1+2+3+4
=570/10
=57miles/hour
The graph shows Irene's changing distance as she traveled on a boat. What does point A tell you about her speed?
Answer:
Do you have a picture of the problem/graph?
Step-by-step explanation:
Only then, can i provide an acurate answer!
pls & thx