Answer:
[tex]a_{61}=-972[/tex]
Step-by-step explanation:
Arithmetic Sequences
The arithmetic sequences are identified because any term n is obtained by adding or subtracting a fixed number to the previous term. That number is called the common difference.
The equation to calculate the nth term of an arithmetic sequence is:
[tex]a_n=a_1+(n-1)r[/tex]
Where
an = nth term
a1 = first term
r = common difference
n = number of the term
We are given the first terms of a sequence:
-12, -28, -44,...
Find the common difference by subtracting consecutive terms:
r = -28 - (-12) = -16
r = -44 - (-28) = -16
The first term is a1 = -12. Now we calculate the term n=61:
[tex]a_{61}=-12+(61-1)(-16)[/tex]
[tex]a_{61}=-12-60*16=-12-960[/tex]
[tex]\mathbf{a_{61}=-972}[/tex]
Someone help me with this, please! i’ll mark u as brainlist
Answer:
x = 8
Step-by-step explanation:
2x + 5 = 21
-5 -5
2x = 16
2x/2 = 16/2 ( divided 2 on both sides)
you get x= 8
to check your work, replace x with 8 in the equation
2 x 8 + 5 = 21 ( don't forget PEMDAS!!)
16 + 5 = 21
1 On average, Shawnte drinks 2 of a 6-ounce glass of water in hour. How much water 3 does she drink in an hour?
Answer:
3/4 of a 6-ounce glass
Step-by-step explanation:
Given time = 2/3 of hour
As hour = 60 min
= 120/3
= 40 mins
So,
40 mins: water in take is 3 ounce
1 minute: water in take is 3/40
60 mins: water in take is (3/40) x 60 = 4.5 ounce
Solve: 19x2 +
12x2 +5x-4 - 122x+6
O x= 2
x= -5
x = 2, x= -5
no solution
Answer:
x = 2, x = -5 (The third option)
Step-by-step explanation:
Create equivalent expressions in the equation that all have equal bases, then solve for x
help meeeeeeeeeeeeee
Answer:
16
Step-by-step explanation:
Answer: 16
Step-by-step explanation: If we are relating the flour to the cookies it would simply be 48/3. It takes 3 cups of flour to make 48 cookies, so we know that each cup provides 16 cookies.
WILL GIVE BRAINLIEST :)
Answer:
c
Step-by-step explanation:
it would have some exponent but its the only one that is constant
Choose yes or no to tell wether the fraction and percent are equivalent
Answer:
1. No
2. Yes
3. No
4. Yes
Answer:
1. No 40/1000 = 4%
2. Yes
3. No 50/33 = 66%
4. Yes
Step-by-step explanation:
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
Is this wrong?
Factorize x^2+3x+2
x^2+2x+x+2
x(x+2)+x+2
(x+2)(x+2)
if wrong please correct.
Help!
Step-by-step explanation:
The last step is a little wrong. Lemme show you:
x(x + 2) + (x + 2)
Imagine there is an invisible '1' infront of (x + 2) like this:
= x(x + 2) + 1(x + 2)
Now we can combine the like terms together:
= (x + 1)(x + 2)
This is the correct factorization.
I give 20! Find the surface area. And without explanation please, I don’t have enough time.
Answer:
816 cm²
Step-by-step explanation:
Surface area of the composite figure = (surface area of the larger rectangular prism + surface area of the smaller rectangular prism) - area of the side of the smaller rectangular prism that is joined to the bigger prism.
✔️Surface area of the larger rectangular prism:
Area = L*W*H = 20*5*6 = 600 cm²
✔️surface area of the smaller rectangular prism:
Area = L*W*H = 12*4*6 = 288 cm²
✔️area of the side of the smaller rectangular prism that is joined to the bigger prism.
Area = L*W = 12*6 = 72 cm²
Surface area of the composite = (600 + 288) - 72 = 888 - 72 = 816 cm².
Which equation represents the line passing through the points (4, −1) and (1, 0)?
Select one:
A. x + 3y = 1
B. 3x + y = 1
C. x − 3y = −1
D. −x + 3y = 1
How many 1/3 yard lengths are in 1 yard
Answer:
3
Step-by-step explanation:
1/3 yard lengths times 3 equals 3 (or 1 yard).
There are 3 numbers of 1/3 yard lengths are in 1 yard.
What is the arithmetic operator?A summation, which is the result of adding two or more numbers or quantities, is also known as a sum.
A mathematical operation known as subtraction involves two values that will be subtracted to produce a new value.
Multiplication is the general procedure in mathematics in which we multiply two or more numbers to each other to find a new multiplied number.
Division is divide of any two numbers so it will give a new divided value for example 4/2 will gives us 2.
1 yard = 1/3 yard + 1/3 yard + 1/3 yard
The lowest common multiple of the right hand will be 3
So,
1 yard = (1 + 1 + 1)/3 yard
1 yard = 3/3 yards
1 yard = 1 yard
Hence in 1 yard, there is a total of 3 numbers of 1/3 yards.
To learn more about the arithmetic operator
brainly.com/question/25834626
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Help I’ll thank you a lot :)
A store manager purchases a DVD for $15. He marks it up to $21.75 in order to make a profit. What is the percent of increase?
When two variables are in a proportional relationship, which of the
following is true about their values. *
their sums are a constant
their differences are a constant
their products are a constant
their quotients are a constant
Submit
Answer:
Their quotients are a constant
Step-by-step explanation:
Required
Quotient of two variable
Let the variables be x and y
The quotient of x and y in this case is their constant of variation.
Take for instance:
[tex](x_1,y_1) = (2,4)[/tex]
[tex](x_2,y_2) = (4,8)[/tex]
[tex](x_3,y_3) = (8,16)[/tex]
Their quotient is calculated as follows:
[tex]Quotient = \frac{y}{x}[/tex]
[tex](x_1,y_1) = (2,4)[/tex]
[tex]Quotient = \frac{4}{2} = 2[/tex]
[tex](x_2,y_2) = (4,8)[/tex]
[tex]Quotient = \frac{8}{4} = 2[/tex]
[tex](x_3,y_3) = (8,16)[/tex]
[tex]Quotient = \frac{16}{8} = 2[/tex]
Notice that the quotient has a constant value of 2.
However, the sum, difference or products will give a different set of values entirely.
Hence, option (d) is correct
What is the y-intercept of the graph of 4y = 2x + 8?
4
2
6
00
N
Answer:
2
Step-by-step explanation:
4y = 2x + 8
First get the equation in slope intercept form y= mx+b where m is the slope and b is the y intercept
Divide each side by 4
4y/4 = 2x/4 +8/4
y = 1/2x +2
The slope is 1/2 and the y intercept is 2
Answer:
2
Step-by-step explanation:
Manipulate your equation into slope-intercept form: y = mx + b, where b is the y-intercept.
To do this, divide 4 from both sides:
[tex]y=\frac{1}{2} x+2[/tex]
b = 2
How is the space between consecutive whole numbers divided on the number line?
O into halves
O into fifths
O into sixths
O into sevenths
Answer:
I think it’s is into fifths if I’m correct
Step-by-step explanation:
Which of the tables represents a function?
a. Table A
b. Table B
c. Table C
d. Table D
Answer:
the answer is D (U,U).-
Step-by-step explanation:
Arthemeatic sequence
Answer:
14
Step-by-step explanation:
its going down by 11
What is an algebraic expression?
A. the operation between two number or letters
B. letters that represent numbers
C. a branch of mathematics
D. a combination of operations on letters and numbers
Answer:
d. a combination of operations on letters and numbers
Step-by-step explanation:
b is a variable and c can be all sort of things
Answer:
D. a combination of operations on letters and numbers.
Step-by-step explanation:
A boat traveled 12 miles in 30 min. At this rate, how many miles will the boat travel in 3 hours?
1. What is 4 to the power of 2 ?
2. What is 2 to the power of 4 ?
3. What is 8 to the power of 2 ?
4. What is 2 to the power of 8 ?
4²= 16
Work - 4 x 4 = 16
2⁴= 16Work - 2 x 2 x 2 x 2 = 16
8²= 64Work - 8 x 8 = 64
2⁸= 256Work - 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2= 256
What are the two methods for finding the constant of proportionality when given a table
Answer:
If the ratio of one variable to the other is constant, then the two variables have a proportional relationship, If x and y have a proportional relationship, the constant of proportionality is the ratio of y to x.
Step-by-step explanation:
I NEED AN ANSWER QUICK! What is the surface area of the right trapezoidal prism? To receive credit, you must show the work used to arrive at a final answer. (And PLEASE show work)
Answer:
210 cm²
Step-by-step explanation:
Area of the surface having dimensions 6 cm × 11 cm
[tex]A_1[/tex] = 11 × 6 = 66 cm²
Area of the surface having dimensions 3 cm × 6 cm
[tex]A_2[/tex] = 3 × 6 = 18 cm²
Area of the surface having dimensions 7 cm × 6 cm
[tex]A_3[/tex] = 7 × 6 = 42 cm²
Area of the surface having dimensions 5 cm × 6 cm
[tex]A_4[/tex] = 5 × 6 = 30 cm²
Area of the trapezoidal surface on the top = [tex]\frac{1}{2}(b_1+b_2)h[/tex]
[tex]A_5[/tex] = [tex]\frac{1}{2}(11+7)3[/tex]
= 27 cm²
Area of the trapezoidal base [tex]A_6[/tex] = Area of the surface on the top = 27 cm²
Total surface area = [tex]A_1+A_2+A_3+A_4+A_5+A_6=66+18+42+30+27 + 27[/tex]
= 210 cm²
Therefore, total surface area of the trapezoidal prism = 210 cm²
Which statement best represents the equation below?
10+(-10)=0
1. A dog runs 10 feet to the left and then runs another 10 feet to the left .
2. A car goes 10 feet and then reversed 10 feet .
3. A bottle contained 10 litters of juice after 10 liters spilled on the floor .
4. A girl earns $10 in 10 hours .
Answers ASAP!!!!!
Answer:
the answer is 2 because the car goes forward 10 feet then it goes back to the same amount which puts it at its start
I NEED HELP ASAP PLZ
first one
Step-by-step explanation:
Answer:
1/2 is the answer
Step-by-step explanation:
The USDA conducted tests for salmonella in produce grown in California. In an independent sample of 252 cultures obtained from water used to irrigate the region, 18 tested positive for salmonella. In an independent sample of 476 cultures obtained from the region’s wildlife (e.g., birds), 20 tested positive for salmonella. Is this sufficient evidence for the USDA to conclude that the proportion of salmonella in the region’s water differs from the proportion of salmonella in the region’s wildlife? Assume the significance level of 0.01.
Answer:
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There no sufficient evidence to show that the proportion of salmonella in the region’s water differs from the proportion of salmonella in the region’s wildlife
Step-by-step explanation:
From the question we are told that
The first sample size is [tex]n_1 = 252[/tex]
The number that tested positive is [tex]k_1 = 18[/tex]
The second sample size is [tex]n_2 = 476[/tex]
The number that tested positive is [tex]k_2 = 20[/tex]
The level of significance is [tex]\alpha = 0.01[/tex]
Generally the first sample proportion is mathematically represented as
[tex]\^ p _1 = \frac{k_1 }{ n_1 }[/tex]
=> [tex]\^ p _1 = \frac{18 }{ 252 }[/tex]
=> [tex]\^ p _1 = 0.071[/tex]
Generally the second sample proportion is mathematically represented as
[tex]\^ p _2 = \frac{k_2 }{ n_2 }[/tex]
=> [tex]\^ p _2 = \frac{20 }{ 476}[/tex]
=> [tex]\^ p _2 = 0.042[/tex]
The null hypothesis is [tex]H_o : p_1 - p_2 = 0[/tex]
The alternative hypothesis is [tex]H_a : p_1 - p_2 \ne 0[/tex]
Generally the test statistics is mathematically represented
[tex]z = \frac{ \^ p_1 - \^ p_2 - ( p_ 1 - p_2 )}{ \sqrt{\frac{\^ p_1 (1-\^ p_1)}{ n_1 } + \frac{\^ p_2 (1-\^ p_2)}{ n_2 } } }[/tex]
=> [tex]z = \frac{ 0.071 - 0.042 - 0 }{ \sqrt{\frac{0.071 (1-0.071)}{ 252 } + \frac{0.042 (1-\^ 0.042)}{ 476 } } }[/tex]
=> [tex]z = 1.56[/tex]
From the z table the area under the normal curve to the right corresponding to 1.56 is
[tex]P(Z > 1.56 ) =0.05938[/tex]
Generally the p-value is mathematically represented as
[tex]p-value = 2 * P(Z > 1.56 )[/tex]
=> [tex]p-value = 2 * 0.05938[/tex]
=> [tex]p-value = 0.1188[/tex]
From the value obtained we see that [tex]p-value > \alpha[/tex] hence
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There no sufficient evidence to show that the proportion of salmonella in the region’s water differs from the proportion of salmonella in the region’s wildlife
Solve kx - 3 = 5 for x.
A. x = 8 - k
B. x = 8k
C. x=2/k
D. x= 8/k
Answer: D
Step-by-step explanation:
I just got it wrong and D was the answer
nodadnotoday is my Spotify tho
peter and jane have $90 together if peter gave jane $16 he would have $14less than jane how much does peter originally have
Answer:
peter = $54
jane = $36
Step-by-step explanation:
let peter = x
let jane = y
peter + jane = $90
x+y = 90 --------- (1)
peter gave jane $16 = x-16
jane gets extra $16 from peter = y+16
peter would have $14 less than jane
jane - peter = $14
(y+16)-(x-16) = 14
y+16-x+16 = 14
y-x+32 = 14
y-x = 14-32
y-x = -18 ---------- (2)
x+y = 90 --------- (1)
y-x = -18 --------- (2)
from (1)
x+y = 90
y = 90-x --------- (3)
substitute (3) into (2)
y-x = -18
90-x-x = -18
90-2x = -18
-2x = -18-90
-2x = -108
x = 54
substitute x = 54 into (3)
y = 90-x
y = 90-54
y = 36
x = peter = $54
y = jane = $36
what is 696 39/100 into a decimal
Answer:
696.39
Step-by-step explanation:
HOPE THIS HELPS
PLZZ MARK BRAINLIEST
Answer: 696 39/100 into a decimal is 696.39
if anybody can answer this quickly; please do!
Answer:
The answer is D
Step-by-step explanation:
I would give an explanation but it would take to long. The original answer is 21, there is no other equation that equals 21.
can u pls help me with this question
Answer: a or d
Step-by-step explanation: