Answer:
The nth term of a sequence is 2n + 1
The nth term of a different sequence is 3n ï€ 1
Work out the three numbers that are
in both sequences
and
between 20 and 40
Now the three numbers I managed to get are 25, 31 and 37 (as I assumed it meant the output of both of these sequences needs to be the same as well as being in between 20 and 40). For example 2x18+1= 37 as does 3x12+1= 37
The volume of this prism is
blank cubic inches.
a.171
b.20
c.140
Answer:
c
Step-by-step explanation:
length times width times height so 8 times 5 times 3.5 equals 140
x-3 1/2=8.25
im working on: Solving Equations Addition/Subtraction
Answer:
x = 11.75
Step-by-step explanation:
hope this was helpful!
Answer:
11.75
Step-by-step explanation:
Measure of ANGLES. NEED HELP QUICK PLZ
Answer:
Angle 1 is 69°. Angle 2 is 111°
Explanation:
solve this equation for x: 1/4 x = 7
Answer:
28
Step-by-step explanation:
because if 28 divide by 4, it gets 7
z mark the brainliest
2. The point (0,0) is a solution to which inequality?
A. y-9 < 3x - 10
B. y-9>3x + 10
C. y - 9 > 3x - 10
D. y + 9 > 3x + 10
Answer:
b
Step-by-step explanation:
Help me with these please and thank you
Answer:
top one is 48 cm, bottom one is 17.5in.
Step-by-step explanation:
From what I understand, these shapes are increasing in size, so they will increase at a certain number. Our top one is rotated, but the 12cm is equivalent to the 3cm from the previous rectangle, thus making it greater by 4 times. To find x, we multiply 12cm by 4 to get 48cm. Same concept for the shapes on the bottom. Our 56in is equivalent to 8in, making it 7 times larger. Now, we multiply 2.5 by 7 to get 17.5in.
At the museum, child admission is 5.80 and an adult is 9.20. On Saturday four times as many adults tickets as child tickets were sold, for a total sales of 1320.60. How many child tickets were sold that day?
Answer:
Number of child tickets sold = 31
Step-by-step explanation:
Let,
x be the number of child tickets sold
y be the number of adult tickets sold
According to given statement;
y = 4x Eqn 1
5.80x + 9.20y = 1320.60 Eqn 2
Putting y=4x in Eqn 2
5.80x + 9.20(4x) = 1320.60
5.80x + 36.80x = 1320.60
42.60x = 1320.60
Dividing both sides by 42.60
[tex]\frac{42.60x}{42.60}=\frac{1320.60}{42.60}\\x = 31[/tex]
Hence,
Number of child tickets sold = 31
A Bloomberg BusinessWeek North American subscriber study collected data from a sample of 2861 subscribers. Fifty-nine percent of the respondents indicated an annual income of $75,000 or more, and 50% reported having an American Express credit card.
1.What is the population of interest in this study?
2.Is annual income a qualitative or quantitative variable?
3.Is ownership of an American Express card a qualitative or quantitative variable?
4.Does this study involve cross-sectional or time series data?
5. Determine whether the following two statistical inferences may be made based on the sample data collected.
An estimated 59% of the population of subscribers has an annual income of $75,000 or more.
An estimated 60% of the population of subscribers has an American Express credit card.
Answer:
Bloomberg Business week NorthAmerica Subscribers
; Quantitative ; Qualitative ; No ; Yes ; No
Step-by-step explanation:
Sample size = 2861
Percentage respondent with annual income ≥ 75000 = 59%
Percentage having an American Express credit card
1.What is the population of interest in this study?
Bloomberg business week NorthAmerica Subscribers
2. Quantitative
Annual income is quantitative because it is numeric, that is repress red by numbers which can be used to perform sensible numerical computation such as additions, mean, multiplication and so on.
3.Qualitative
No ; ownership of an American express card is a Qualitative variable as it will take responses as (yes or no), even when represented or coded as numbers, it will make no numerical sense to peform mathematical calculations with it.
4.
No ; time series data has to do with data collected with respect to a particular month, year or seasonal data.
5. Determine whether the following two statistical inferences may be made based on the sample data collected.
An estimated 59% of the population of subscribers has an annual income of $75,000 or more.
Yes ;
An estimated 60% of the population of subscribers has an American Express credit card.
No ; the research says 50% and not 60%
Points A(x,y) and B are on the same straight line.
The x-coordinate of B is three times the x-coordinate of A.
The y-coordinate of B is four times the y-coordinate of A.
What is the gradient of the line in terms of X and y?
Answer:
Solution,
Let the coordinates of A and B be (x, y) and (3x, 4y) respectively.
Then, the gradient (Slope) of AB is given by:
m = [tex]\frac{4y-y}{3x-x}[/tex]
or, m = [tex]\frac{3y}{2x}[/tex]
This is the required gradient of the line in terms of x and y.
What is the average rate of change for this quadratic function for the interval
from x = 2 to x = 4?
Answer:
B. -6
Step-by-step explanation:
Average rate of change = [tex] \frac{f(b) - f(a)}{b - a} [/tex]
Where,
b = 4, f(b) = -15
a = 2, f(a) = -3
Plug in the values
[tex] \frac{-15 - (-3)}{4 - 2} [/tex]
[tex] = \frac{-12}{2} = -6 [/tex]
The average rate of change of the given quadratic function in the given interval is -6.
How to get the average rate of change?On the graph, we can see that:
f(4) = -15
f(2) = -3
Then the average rate of change on that interval will be:
[tex]y = \frac{f(4) - f(2)}{4 - 2} = \frac{-15 + 3}{2} = -6[/tex]
Then we conclude that the average rate of change of the given quadratic function on the given interval is -6.
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PLS HELP ASAP!! I WILL GIVE BRAINLIEST TO FIRST RIGHT ANSWER!!
Move words to the blanks and equations to the boxes to prove that vertical angles <1 and <3 are congruent
Answer:
Answer below :)
Step-by-step explanation:
Hi there!
1. supplementary
2. m<1 + m<2 =180, m<2 + m<3 = 180
3. Supplementary; congruent
It goes in this order^
I hope this helps!
Find the measures of the interior
angles in a pentagon if the measure
of each consecutive angle is in the
ratio 9:6:10:8:12
Answer:
Angle 1 = 108°
Angle 2 = 72°
Angle 3 = 120°
Angle 4 = 96°
Angle 5 = 144°
Step-by-step explanation:
We need to find the measures of the interior angles in a pentagon if the measure of each consecutive angle is in the ratio 9:6:10:8:12.
Let x be the common ratio
So, we can write:
Angle 1 = 9x
Angle 2 = 6x
Angle 3 = 10x
Angle 4 = 8x
Angle 5 = 12x
We know that the sum of all angles of pentagon = 540
So, adding all angles and equal them to 540, we can find value of x
[tex]9x+6x+10x+8x+12x=540\\45x=540\\x=\frac{540}{45}\\x=12[/tex]
So, we get the value of x: x=12
Now, calculating the angles by putting x=12:
Angle 1 = 9x = 9(12) = 108°
Angle 2 = 6x = 6(12) = 72°
Angle 3 = 10x = 10(12) = 120°
Angle 4 = 8x = 8(12) = 96°
Angle 5 = 12x= 12(12) = 144°
DIRECTIONS: WRITE A MULTIPLICATION NUMBER SENTENCE
(EQUATION) FOR EACH OF THE FOLLOWING:
6). YOU LOST 3 FIVE DOLLAR BILLS. HOW MUCH DID YOU LOSE?
7). JAMES LOST 7 POUNDS EACH MONTH FOR 4 MONTHS. HOW
MUCH DID HE LOSE?
Answer:
6. $15
7. 28 pounds
Step-by-step explanation:
6. 3 x 5 = 15
7. 7 x 4 = 28
select the exspreshion that is equivalent to 45x+10
A 1(9x+2)
B 5(5x+2+4x)
C 5(10+4x+5x)
D 3(3x+2)
Answer:
B
Step-by-step explanation:
Find all the values of x where the tangent line is horizontal.
f(x) = 2x^3 + 42x^2 + 270x + 11
Answer:
If I calculated correctly, the tangent line is horizontal where x ≈ -5.3 + 9.3i, and -5.3 - 9.3i
I'm somewhat concerned at having gotten complex numbers, and strongly recommend going through the steps to see if I missed anything. I checked it myself and don't see any errors.
Step-by-step explanation:
You can do this by taking the derivative of the function and solving for zero:
f(x) = 2x³ + 32x² + 220x + 11
f'(x) = 6x² + 64x + 220
f'(x) = 2(3x² + 32x + 110)
We can't factor that further, so let's do it the long way, starting by letting f'(x) equal zero:
0 = 2(3x² + 32x + 110)
0 = 3x² + 32x + 110
0 = 9x² + 96x + 990
0 = 9x² + 96x + 256 + 734
0 = (3x + 16)² + 734
(3x + 16)² = -734
3x + 16 = ± i√734
3x = -16 ± i√734
x = (-16 ± i√734) / 3
x ≈ (-16 + 27.9i) / 3, and (16 - 27.9i) / 3
x ≈ -5.3 + 9.3i, and -5.3 - 9.3i
I'm always wary when I end up with complex numbers. I'd suggest double checking everything here, but I'm fairly certain I did everything correctly.
Are the graphs of the lines in the pair parallel? Explain.y=−32x+2
3x+2y=8
Answer:
no
Step-by-step explanation:
if to re-write the second equation:
y= -3/2 x+8
and to compare it with the first one, then -3/2≠-32.
It means, the given lines are not parallel.
Exponential form of 1/8
I believe its 2 ^ -3
because
1/8 = 1/2^3 = 2^-3
Is 1/2 equivalent to 7/12
Answer: No because 1/2 is equal to 6/12 because 1 x6=6 and 2x6 =12 which makes 1/2 equivalent to 6/12 not 7/12
Answer:
no this is false
Step-by-step explanation:
7 is not half of 12
What are the terms in the expression 2w + 11t + 4y
A 2, 11, and 4
B w, t, and y
C 17
D 2w, 11t, and 4y
9514 1404 393
Answer:
D. 2w, 11t, and 4y
Step-by-step explanation:
The terms are what are separated by + or - signs. They generally consist of a product of numbers and variables, or they may be a number or variable by itself.
_____
Additional comment
When you're learning about terms, you are generally concerned with polynomials. For that purpose, a "term" is as described above.
More generally, any designated expression or part of an expression can be referred to as a "term". For example, we might refer to √(b²-4ac) in the expression ...
[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
as "the radical term", or we might refer to 2a as "the denominator term". In this expression, the term (b²-4ac) is given the name "discriminant".
Solve the equation d/3=11
Final Answer: [tex]d = 33[/tex]
Steps/Reasons/Explanation:
Question: Solve the equation [tex]\frac{d}{3} = 11[/tex].
Step 1: Multiply both sides by [tex]3[/tex].
[tex]d = 11[/tex] × [tex]3[/tex]
Step 2: Simplify [tex]11[/tex] × [tex]3[/tex] to [tex]33[/tex].
[tex]d = 33[/tex]
~I hope I helped you :)~
Rachel has one $1 bill,
3 quarters, and 2 pennies.
How much money does
Rachel have?
Answer:
$1.77
Step-by-step explanation:
$1 plus 75 cents plus 2 cents
The total amount of money that Rachel has is $1.77.
What is Arithmetic?The study and use of numbers, their relationships, and mathematical observations are topics covered by the area of mathematics known as arithmetic. The word "arithmetic" (which derives from the Greek word "arithmos," "number") is frequently used to refer to the basic ideas in measuring, calculation, and number theory (specifically, the operations of addition, subtraction, multiplication, division, raising to powers, and root extraction).
As per the given data:
We are given the amount of dollar bills, quarters and pennies Rachel has.
Dollar bills = 1
Quarters = 3
Pennies = 2
1 Dollar bill = $1
1 Quarter = $0.25
1 Penny = $0.01
Total money that Rachel has
= 1 × (Dollar bill) + 3 × (Quarters) + 2 × (Pennies)
= 1 × ($1) + 3 × ($0.25) + 2 × ($0.01)
= 1 + 0.75 + 0.02
= $1.77
The total amount of money that Rachel has is $1.77.
Hence, The total amount of money that Rachel has is $1.77.
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Factor 6x^9 - 15x^5
a.)2x^4(3x^5-7x)
b.)3x^4(2x^5-5x)
c.)6x^4(x^5-2x)
d.)3x^5(2x^4-5)
Factor 3x^5 out of 6x^9 − 15x^5.
3x^5 (2x^4 − 5)
The factor equivalent to 10/12
Answer:
Step-by-step explanation:
So, here are some examples: 56 is equivalent to 1012 because 5 x 12 = 6 x 10 = 60. 1518 is equivalent to 1012 because 15 x 12 = 18 x 10 = 180. 2024 is equivalent to 1012 because 20 x 12 = 24 x 10 = 240.
A principal of 2200 is invested at 9% interest, compounded annually. How much will the investment be worth after 6 years?
Answer:
it would be worth 3388
Step-by-step explanation:
9% of 2200 is 198
198×6=1188
1188+2200=3388
Simplify the expression 2(7*-3)
Answer: 11 + x
HOPE THIS HELPS
72 + (43 -11) i need help plz
Answer:
104
Step-by-step explanation:
43 - 11 = 32
32 + 72 = 104
Pleasee helpp
Choose the variable expression that matches this phrase.
... the difference between the number of leaves on the tree and the 520
leaves on the ground.
A. t + 520
B. 5200
C. 520/t
D. t - 520
Answer:
the answer is D because "difference" is a key word for subtraction
Step-by-step explanation:
Can you do the math please
Answer:
The answer is A.
There is a line that includes the point (-5, 2) and has a slope of -3. What is its equation in slope-intercept form?
Answer:
y=-3x-13
Step-by-step explanation:
Answer:
1 .
Step-by-step explanation:
Dewayne is thinking of a number n, and he wants his sister to guess the number. His first clue is that seven less than five times his number is between thirteen and eighteen. Write a compound inequality that shows the range of numbers that Dewayne might be thinking of.
Answer:4<n<5
Step-by-step explanation: 13<5n-7<18
20<5n<25
4<n<5
Inequalities help us to compare two unequal expressions.The compound inequality that shows the range of numbers that Dewayne might be thinking of is 8<(5n-7)<13.
What are inequalities?Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.
The given clue by Dewayne can be written in the form of inequality as shown below. Therefore, we can write,
Five times the number → 5nSeven less than five times a number → 5n-7Seven less than five times his number is between thirteen and eighteen → 8 < (5n - 7) <13.Hence, the compound inequality that shows the range of numbers that Dewayne might be thinking of is 8<(5n-7)<13.
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