Answer: [tex]t_9=\dfrac{1}{2^8}[/tex]
Step-by-step explanation:
[tex]t_n=t_1\times r^{n-1}\\\\Given: t_1=1,\quad r=\dfrac{1}{2}\\\\\\t_9=1\times\bigg(\dfrac{1}{2}\bigg)^{9-1}\\\\\\.\quad =\large\boxed{\dfrac{1}{2^8}}[/tex]
In one design being considered for the containers shaped like a rectangular prism, each
container will have a height of 114 inches and length of 74 inches. What will be the within
inches, of the container?
A.3
B.4
C.14
D.15
Answer:
your answer is A 3 inches
1. Arjun puts £750 into his savings account. The account earns 5% simple interest per annum. After 4 years, how much money will Arjun have in his savings account? £ 1. Connor invests £1500 of his money for 2 years at a simple interest rate of 10%. How much money will he get back in interest?
Answer:
1. 900
2. 350
Step-by-step explanation:
the formula,
A= P(1+rt)
A= final amount
P= starting amount
r= intrest rate
t= time
1. A=750(1+.05*4)
A=750(1.2)
A=900
2. A=1500(1+.1*2)
A=1500(1.1)
A=1650
But theyre
asking for how much intrest will they get back, so you subtract the new amount by the starting amount to find how much intrest was earned
1650-1500=350
Clothing donations are collected to help a family in need. The function g(x) represents the number of items collected where x is the number of people who donated. Does a possible solution of (60, 10) make sense for this function? Explain your answer.
Answer:
No, it doesn't make sense because the output is not feasible.
Step-by-step explanation:
We are told that the function g(x) represents the number of items collected.
Now, we are also told that x is the number of people who donated.
Now, if we want to consider a possible solution of (60, 10) .
It means, we now have; g(60) = 10
This means that 60 people donated and 10 items were collected.
It doesn't make sense that 60 people donated items and only 10 items were available to be collected.
Thus, we can say that ;
No, it doesn't make sense because the output is not feasible.
Factor this polynomial.
-3x^2– 5x-2
Answer:
[tex]-(3x+2)(x+1)[/tex]
Step-by-step explanation:
So we have the polynomial:
[tex]-3x^2-5x-2\\=-(3x^2+5x+2)[/tex]
(I moved the negative to the outside. This is optional, but it makes things cleaner and you will have to do it eventually.)
This is a quadratic. To factor this, we need to find two numbers p and q such that:
[tex]p\cdot q=ac\\p+q=b[/tex]
From there, we can substitute these numbers in for b.
From the quadratic, a=3, b=5, and c=2. We ignore the negative sign.
In other words, ac=6 and b=5.
After guessing and checking, two numbers that work are 3 and 2 since 3(2)=6 ad 3+2=5. We substitute these values in for b. So:
[tex]-(3x^2+5x+2)\\-(3x^2+3x+2x+2)\\=-(3x(x+1)+2(x+1))\\=-(3x+2)(x+1)[/tex]
Henry rented a truck for one day. There was a base fee of 15.99 , and there was an additional charge of 79 cents for each mile driven. Henry had to pay 115.58 when he returned the truck. For how many miles did he drive the truck?
Subtract base fee from total then divide by price per mile:
115.58 - 15.99 = 99.59
99.59 / 0.79 = 126.063 miles
Round the answer as needed.
Which data set has the largest standard deviation?
O A. 12, 14, 13, 14, 12, 13, 12
O B. 1,6,3, 15, 4, 12,8
O C. 20, 21, 23, 19, 19, 20, 20
D. 3,4,3, 4, 3, 4,3
SU
Answer:
I thinks it's B.not sure...
The deviation of the mean between the sample is less in option B.
What is a standard deviation?It is the measure of the dispersion of statistical data. Dispersion is the extent to which the value is in variation.
The mean is the numerical normal of a bunch of at least two numbers. The number juggling means and the mathematical mean are two sorts of implications that can be determined.
If the deviation of the mean between the sample is more, then the deviation will be more.
Let's check all the options.
A. 12, 14, 13, 14, 12, 13, 12
The mean is calculated as,
Mean = (12 + 14 + 13 + 14 + 12 + 13 + 12) / 7
Mean = 12.86
B. 1,6,3, 15, 4, 12,8
The mean is calculated as,
Mean = (1 + 6 + 3 + 15 + 4 + 12 + 8) / 7
Mean = 7
C. 20, 21, 23, 19, 19, 20, 20
The mean is calculated as,
Mean = (20 + 21 + 23 + 19 + 19 + 20 + 20) / 7
Mean = 20.28
D. 3,4,3, 4, 3, 4, 3
The mean is calculated as,
Mean = (3 + 4 + 3 + 4 + 3 + 4 + 3) / 7
Mean = 3.43
The deviation of the mean between the sample is less in option B.
More about the standard deviation link is given below.
https://brainly.com/question/12402189
#SPJ2
need help asap use the screen shot
Answer:
7 and 37
Step-by-step explanation:
Imagine our 3rd side becoming smaller and smaller. In the ultimate case the triangle will be a flat line, and the two other lines overlap. The third line will have to be 7, to get from 15 to 22 (22-15=7).
Likewise, if the line increases and increases, again you'll endup with a flat line, but now the two otherlines will span the entire third line, so its length is the sum, i.e., 15+22 = 37
helpppppp plsssssss!!!!!!! in the picture below
Answer:
266.67 feet^2.
Step-by-step explanation:
The scale is 1:40.
That means that if the scale has a width of 4 inches, the room will have a width of 4 * 40 = 160 inches. 160 / 12 = 80 / 6 = 40 / 3 feet.
The length in the model is 6 inches, so the room has a length of 6 * 40 = 240 inches. 240 / 12 = 120 / 6 = 60 / 3 = 20 feet.
The area will then be (40 / 3) * 20 = 800 / 3 = 266.67 feet^2.
Hope this helps!
Find the area a. 530 b. 779 c. 390 d. 1060
Answer:
a. 530 ..I think.. i'm pretty sure
Step-by-step explanation:
40*26.5 is 1060
1060/2=530
area=530
What is the least common denominator of the rational expressions below?
Answer:
x(x-3) ( x+4)
Step-by-step explanation:
2 5
---------- + ------------
x^2 -3x x^2 + x - 12
Factor the denominator
2 5
---------- + ------------
x(x -3) (x-3) (x+4)
The common denominator is
x(x-3) ( x+4)
when 5 more than 2 lots of a number is tripled the result is 10
Answer:
-5/6
Step-by-step explanation:
a number is x
then two lots will be 2 x
five more will be 2x+5
then tripled so 3(2x+5)
will equal 10
Answer: [tex]-\frac{5}{6}[/tex]
Step-by-step explanation:
3(2x+5)=10
Distribute
6x+15=10
Subtract 15
6x=-5
x = -5/6
Hope it helps <3
MATH PLEASE HELP ME. WILL GIVE BRAINLIEST
Answer:
The answer is - 17Step-by-step explanation:
g(x) = 2x³ - 3x + 5
To find g(- 2) substitute the value of - 2 into g(x)
That's
g(- 2) = 2(-2)³ - 3(-2) + 5
= 2(-8) - 3(2) + 5
= - 16 - 6 + 5
= - 17Hope this helps you
Help me please
I’m having so much trouble
Answer:
Step-by-step explanation:
5 * 45 = 225
225+75=300
300/500=0.6
The tank will be 60% full.
If this helped, make sure to mark it as brainliest :D
Answer:
C.60%
Step-by-step explanation:
45 x 5 = 225 225 + 75 = 300
300 / 500 = 0.6 = 60%
What is the product of
(2x-6)(x+1)
Answer:
Hey there!
(2x-6)(x+1)
2x^2-6x+2x-6
2x^2-4x-6
Hope this helps :)
Answer:
2x^2 -4x-6
Step-by-step explanation:
(2x-6)(x+1)
FOIL
first: 2x*x = 2x^2
outer: 2x*1 = 2x
inner: -6*x = -6x
last: -6*1 = -6
Add them together
2x^2 +2x-6x-6
Combine like terms
2x^2 -4x-6
Esmerelda rents a car from a company that rents cars by the hour. She has to pay an initial fee of $52 and then they charge her $8 per hour. She has $144 Available to spend on a car rental. What is the greatest number of hours for which she can rent the car?
Answer:
11 hours
Step-by-step explanation:
First, you have to subtract 144-52= 92. After the initial fee, she has 92 dollars to spend on the car. Then, you divide 92 by 8 because it costs 8 dollars an hour. And this gets you 11.5 which you would have round down because she can't pay for the extra hour. She does not have enough money.
Bill's school is selling tickets to a spring musical. On the first day of ticket sales the school sold
10 senior citizen tickets and 8 child tickets for a total of $170. The school took in $185 on the
second day by selling 10 senior citizen tickets and 11 child tickets. Find the price of a senior
citizen ticket and the price of a child ticket.
A) senior citizen ticket: $13, child ticket: $5 B) senior citizen ticket: $12, child ticket: $7
C) senior citizen ticket: $5, child ticket: $13 D) senior citizen ticket: $21, child ticket: $6
Answer:
A
Step-by-step explanation:
If you play around with each of the answers, you'll find that 13*10=130 (where $13 is the cost of each of 10 senior tickets) plus 5*8=40 (where $5 is the cost of each of 8 child tickets) equals $170.
Hope this helps!! <3
The price of a senior citizen and child ticket is required.
The correct option is A) senior citizen ticket: $13, child ticket: $5
System of linear equationsLet [tex]x[/tex] be the price of senior citizen ticket
[tex]y[/tex] be the price of child ticket
The equations will be
[tex]10x+8y=170[/tex]
[tex]10x+11y=185[/tex]
Subtracting the equations
[tex]-3y=-15\\\Rightarrow y=\dfrac{-15}{-3}\\\Rightarrow y=5[/tex]
Finding [tex]x[/tex]
[tex]10x+8y=170\\\Rightarrow x=\dfrac{170-8y}{10}=\dfrac{170-8\times 5}{10}\\\Rightarrow x=13[/tex]
Learn more about system of linear equations:
https://brainly.com/question/14323743
The equation of the graphed line in point-slope form and it’s equation in slope-intercept form is (-2,3)(3,0)
Answer:
y = -9/5x + 9/5
Step-by-step explanation:
From this points, we can determine the slope and the y-intercept.
First, we do: y/x - y1/x1
=> 0/3 - (3 - 2)
=> 0-3/ 3 + 2
=> -3/5
So the slope of the equation is -3/5.
The equation is: y = mx + b
In this equation "m" = slope.
=> b = constant
Now we take the x and y points from the above numbers.
=> Let's take 3 as x and 0 as y.
=> 0 = -3/5 *3 + b
=> 0 = -9/5 + b
=> Take the -9/5 to the other side
=> 9/5 = b
So, the constant number which is not multiplied by the x is 9/5
Now, our equation looks like:
y = -9/5x + 9/5
If you have any doubts about this question, ask me the comments and I will answer it as soon as possible.
Please answer it now in two minutes
Answer:
m∠F = 20.6°
Step-by-step explanation:
In the given right triangle ΔHGF,
∠G = 90°
By applying tangent rule in the triangle,
tan(∠F) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
= [tex]\frac{\text{HG}}{\text{GF}}[/tex]
= [tex]\frac{3}{8}[/tex]
= 0.375
m∠F = [tex]\text{tan}^{-1}(0.375)[/tex]
= 20.556°
= 20.6°
Therefore, measure of angle F is 20.6°
The equation of a line that is parallel to y = -3x + 6 and passes through the point (0, -4) please help this is an emergency I need this ASAP please!!!!
Answer:
y = - 3x - 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 3x + 6 ← is in slope- intercept form
with slope m = - 3
Parallel lines have equal slopes.
The line crosses the y- axis at (0, - 4 ) ⇒ c = - 4, thus
y = - 3x - 4 ← equation of parallel line
Solve for x: |x| − 8 = −5 (2 points) A. x = −13 and x = −3 B. x = 3 and x = −3 C. x = 3 and x = 13 D. No solution
Answer:
x = 3 and x = -3
Step-by-step explanation:
/x/ - 8 = -5
Add 8 to both sides
/x/ -8 + 8 = -5 +8
/x/ = 3
/ x / will be always positive as it is absolute value of x. So, x = 3 & x= -3
Which set of points does NOT represent a function?
OA) (8,5), (7,5), (6,5), (5,5)
O B) (3,-5), (3, -1), (3, 2), (3, 4)
OC) (-2,3), (-3,2), (2, -3), (3, -2)
OD) (4, -1), (5, 1), (-1,4), (1,5)
Answer:
Answer A does not represent a function(I think)
Step-by-step explanation:
Because the Y-coordinates are the same.
Please help me with this problem! If anybody answers first in this, i will give brainliest to you! Be the first one to answer this then i will give out a brainliest award to you!
Are you sure your that person?
Answer:
32 remainder 2
Step-by-step explanation:
To divide 162 by 5, we simply do the following:
5 goes into 16 => 3
Multiply 5 by 3 => 3 × 5 = 15
Subtract 15 from 16 => 16 – 15 = 1
Put the 1 before 2 => 12
5 goes into 12 => 2
Multiply 5 by 2 => 5 × 2 = 10
Subtract 10 from 12 => 12 – 10 => 2
In summary,
162 divided by 5 => 32 remainder 2
Please see attached photo for further details.
A research agency asks a random sample of respondents, ‘Would you vote for a female candidate for President if she were qualified in every other way?” The design of this study is flawed. How?
A. More information should have been provided about this potential female candidate for president, such as age, race, and religious affiliation.
B. Only carefully screened subjects should have been allowed to answer this survey question because not everyone is likely to vote in the next presidential election.
C. Research agencies should not ask survey questions about differences in age, race, gender, or religious affiliation as there is an increased risk in offending some sample respondents.
D. Wording the question in this manner implies that being female by itself makes you less qualified than a male…it says “if she were qualified in every other way.”
The correct answer is D. Wording the question in this manner implies that being female by itself makes you less qualified than a male…it says “if she were qualified in every other way.”
Explanation:
One of the factors that can make a study flaw is bias, this means the study includes questions or content influenced by personal judgements or that tries to influence the answers of the respondents. This occurs in the question "‘Would you vote for a female candidate for President if she were qualified in every other way?” because the phrase "if she were qualified in every other way" indirectly tells respondents women are less qualify or might not be qualified to be in the role of a president, which shows a personal judgment. Also, this wording might influence respondents to answer they would not vote for a woman.
Pls answer ASAP will mark brainliest if correct
Answer:
E. 88 inches squared
Step-by-step explanation:
First we will calculate the total area(including the area of the picture):
Step 1(Finding dimensions of frame): 10+2+2=14 and 8+2+2=12
Step 2(Finding total area): 12 * 14 = 168
Now we will find the area of the picture and subtract it from the total area to get the area of the frame:
A= 8*10= 80
168 -80 =88 inches squared
Hope this helps!
Answer:
E(88)
Step-by-step explanation:
first find the area of the photograph : 8*10=80 square inches
the length of the whole frame in including the photograph is:
8+2 inches+2 inches=12 inches
the width is 10+2+2=14 inches
the area of the whole frame=12+14=168 inches square
the area of the border=168-80=88 inches square
What is the answer to 2+2 * 89 - 63 + 70
Answer:
187
Step-by-step explanation:
2*89=178
178+2=180
180-63=117
117+70=187
Answer:
47
Step-by-step explanation:
You'd have to follow PEMDAS.
First we multiply:
89*2=178.
Now we add:
178+2=180
AND
63+70=133.
Finally, we subtract:
180-133=47.
Hope this helps!! <3
Pleaseeee helppppp❤️
Answer:
The expression will be simplified into [tex]26x^4y^3+35xy^6-42xy^5\\[/tex]
Step-by-step explanation:
It's like addition, when you multiply exponents that are on the same bases as each other.
11. How many kilometers is it from the main gate to Manatee Springs? (Hint: To convert from
yards to kilometers, multiply by 0.0009144). Round answer to the nearest hundredth kilometer.
Manatee Springs
Elephant
House
3,500 yds
4,200 yds
Train Depot
2,000 yds
Bird Sanctuary
Main Gate
(SHOW WORK)
Answer:
6 km
Step-by-step explanation:
Let us assume the following items
the Point at Train depot = T
The Point at Main gate = M
The Point at Bird sanctuary = B
The Point at Elephant house = E
The Point at manatee Springs = S
As we can see that there are two triangles namely TMB and TSE.
Mentioned that
MTB = ∠STE
∠TMB = ∠TSE
∠TBM = ∠TES.
According to the Angle-angle-angle (AAA similarity)
So, the triangles TMB and TSE are the same.
[tex]\frac{TM}{TS} = \frac{TB}{TE} \\\\ \frac{TM}{4,200} = \frac{2,000}{3,500}[/tex]
So, the TM is 2400 yds
Now the Distance between Main gate M and manatee Spring S is
MS = MT + TS
= 2,400 + 4200
= 6600 yds
Now the MS is
= 6600 × 0.0009144 km
= 6.035 km
≅ 6 km
Find the product.
(6a + 3b)(a - b)
Enter the correct answer.
Answer:
See below.
Step-by-step explanation:
[tex](6a+3b)(a-b)\\[/tex]
Distribute:
[tex]=(6a+3b)(a)-(6a+3b)(b)\\=6a^2+3ab-(6ab+3b^2)\\=6a^2+3ab-6ab-3b^2\\=6a^2-3b^2-3ab[/tex]
Answer:
6a^2-3b^2-6ba+3ba
Step-by-step explanation:
(6a+3b)(a+b)....expand the term
6axa - 6axb + 3bxa - 3b×b ....simplify
6a^2 - 6ba + 3ba - 3b^2, then reorder so highest order terms come first
6a^2 - 3b^2 - 6ba + 3ba
What is 1x1+5 hehe lol
Need Help Quick!!! Vanessa and William are stuck simplifying radical expressions. Vanessa has to simplify . X 3/5 over X 1/4 William has to simplify 20 square root of x times x^3 times x^4 . Using full sentences, describe how to fully simplify Vanessa and William's expressions. Describe if Vanessa and William started with equivalent expressions or if they started with expressions that are not equal.
Answer:
Yes, they started with equal expressions.
Step-by-step explanation:
To simplify Vanessa's expression, we must rationalize the denominator. This means we must make the denominator x.
We need to multiply the denominator by x^(1/6) to make a whole x; this means we must multiply the numerator by x^(1/6) as well: