Answer:
-1059
Step-by-step explanation:
Katelyn, this is super easy to understand.
Anyways, to find the 96th term of the sequence, first subtract -14 and -3. You may be thinking it is -17, but it is not. -17 is only if you are subtracting -14 and 3.
(-14) - (-3) = -14 + 3 = -11.
That means the difference between each number is -11.
Now all you have to do is take the -11 and multiply it by 96, which is -1056. Then, add the -1056 to -3, which is -1059. That should be your answer.
Your school may have taught you a different way, but this is my way.
Find the amount of money in an account after 4 years if $1800 is deposited at 5% annual interest compounded quarterly.
Answer:
$2195.80
Step-by-step explanation:
For a initial principal, P compounded with period k over n years at an annual interest rate, r, the amount (A(n)) at the end of n years is determined using the function:
[tex]A(n)=P(1+\frac{r}{k})^{nk}[/tex]
In the given case:
P=$1800
n=4 years
r=5%=0.05
Since it is compounded quarterly, Period, k=4
Therefore, the amount of money in the account after 4 years is:
[tex]A(n)=1800(1+\frac{0.05}{4})^{4*4}\\=1800(1+0.0125)^{16}\\=1800(1.0125)^{16}\\=\$2195.80[/tex]
After 4 years, there will be $2195.80 in the account.
can you please explain ME how to solve identity of algebra homework
Step-by-step explanation:
"identity" means an operation that does nothing.
For adding numbers, adding 0 changes nothing, so 0 is the identity for addition.
For multiplication, multiplying by 1 changes nothing, so 1 is the identity for multiplication.
Can someone answer this question please please help me I really need it if it’s correct I will mark you brainliest .
Step 1) Divide the figure into separate shapes
Long rectangle: 27 x 5
Triangle: 3 x 4
Middle rectangle: 15 x 7
Small rectangle: 6 x 3
Step 2) Find the area of each shape
Long rectangle: A = 27 x 5 = 135
Triangle: A = 1/2 x 3 x 4 = 6
Middle rectangle: A = 15 x 7 = 105
Small rectangle: 6 x 3 = 18
Step 3) Add all of the areas together
A = 135 + 6 + 105 + 18 = 264 square feet
Hope this helps! :)
A recipe calls for 3/4 of an onion. It makes enough for 4 people. Have much onion does each person get?
Answer:
3/16 of an onion
Step-by-step explanation:
3/4 onion divided by 4
3/4÷4
Copy dot lip
3/4 * 1/4
3 /16 of an onion
Answer:
[tex] \frac{3}{16} [/tex]
Step-by-step explanation:
[tex] \frac{3}{4} \div \frac{4}{1} \\ \frac{3}{4} \times \frac{3}{4} \\ = \frac{3}{16} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
John assignments in value of his car overtime the equation for the line of best fit is approximate as Y represents 2.9 X +17.7 where y represents the value in thousands of dollars what values complete the Residual table
Answer:
For the given equation of the line of best fit, the values that complete the table are as follows
An equation for a line of best fit follows the same guidelines as a linear function where 'y' represents the total (value), 'x' represents time (years), -2.9 is the rate, and 17.7 is the starting value. The table indicates that for any year, there is a given value, but what we are solving for is the predicted value. The residual is the different between the given and predicted values. So, for 'a', we need to solve for the 'y' in our equation by replacing 'x' with '1', multiplying by -2.9 and adding 17.7. This gives us 14.8. For 'b', we simply need to subtract the given and predicted values to get a residual of 0.1. For 'c', we again solve for 'y' by replacing 'x' with '3' in our given equation to get 9. And, for 'd' we subtract the given value of 5 and the predicted value of 6.1 to get 1.1.
answer-
a = 14.8
b = 0.1
c = 9
d = -1.1
The answer you seek is
answer-
a = 14.8
b = 0.1
c = 9
d = -1.1
Write a number in the blank to make the statement true.
Flora the giraffe weighs 2670 pounds.
Last year Flora weighed 2340 pounds.
Flora has gained
ao
pounds since last year.
Answer: 330 pounds
Step-by-step explanation:
Solve the equation: 1/3 x - 4 = 28
Answer:
x = 96
Step-by-step explanation:
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
First, add 4 to both sides:
(1/3)x - 4 (+4) = 28 (+4)
(1/3)x = 28 + 4
(1/3)x = 32
Next, multiply 3 to both sides:
(3)(1/3)x = (32)(3)
x = 32 * 3
x = 96
x = 96 is your answer.
~
Answer:
96=x
Step-by-step explanation:
Add 4 to each side
1/3x= 32
multiply 3 on each side to cancel out the fraction
x=96
James, Priya, and Siobhan work in a grocery Store. James makes $9.00 per hour. Priya makes 40% more than James, and Siobhan makes 15% less that Priya. How much does Siobhan make per hour?
Answer:
* Siobhan's profit at the grocery store ⇒ $ 10.8 *
Step-by-step explanation:
See below;
Priya's 40% profit in the grocery store ⇒ 40/100 * 9 = 2/5 * 9 = 18/5 ⇒ $ 3.6,
Priya's profit at the grocery store ⇒ 9 + 3.6 ⇒ $ 12.6,
Siobhan's 15% of Priya's profit from the store ⇒ 15/100 * 12.6 = $ 1.8
Siobhan's profit at the grocery store ⇒ 12.6 - 1.8 = $ 10.8
* Siobhan's profit at the grocery store ⇒ $ 10.8 *
Help ya girl out please
help me cos I give brainliest so good look image below
Answer:
fx
2.542809140.5sum of (fx)= 214
mean = £fx/ N
N=100
mean= 214÷100
mean = 2.14
A theater can hold 120 giants or 144 elves. If 90 giants are already inside, how many elves can also be admitted?
Answer:
36
Step-by-step explanation:
make proportion giants to elves
120/144 = 90/x cross multiply
120x =144*90
120x =12960 divide by 120
x = 108
so if there are 90 giants in the theater there are 108 elves also
considering that total 144 elves can be in the theater subtract 144 and 108 so 36 more elves can be admitted
Answer:
36 elves
Step-by-step explanation:
Using proportions
We have space for 30 more giants
30 giants x elves
------------- = ----------
120 full 144 elves full
Using cross products
30*144 = x*120
Divide each side by 120
30*144/120 = 120x/120
36 = x
We can have 36 elves
Please I really need the answer for this
The answer is A it is correct.
Answer: THE OBJECT MUST MOVE IN THE SAME DIRECTION AS THE FORCE. WORK IS DONE ON AN OBJECT IF TWO THINGS OCCUR 1. THE OBJECT MOVES AS A FORCE IS APPLIED 2. THE DIRECTION OF THE OBJECT'S MOTION IS THE SAME AS THE DIRECTION OF THE FORCE APPLIED.
Step-by-step explanation:
write a story pleasee marking brainiest!
Answer:
2. a^3+2^3=24
1. Jack has 24 pieces of candy and divided them into groups of 3. He put 2 pieces in each group. How many more are in each group?
Step-by-step explanation:
im not sure if this is correct but i tried sorry.
Please help!
You pick a card at random, put it back, and then pick another card at random.
What is the probability of picking a number less than 3 and then picking a number greater than 1?
Write your answer as a percentage.
__%
Your answer would be 37.5%
For the first card you picked, the probability of picking a number less than 3 is 2/4 = 1/2, because there are 2 cards that are less than 3 and a total of 4 cards.
When picking the second card, it is still out of 4 because you replaced the first one, so the probability of picking a card greater than 1 is 3/4 because there are 3 cards that are greater than 1 out of a total of 4.
Therefore the total probability would be 1/2 × 3/4 = 3/8. To find this as a percentage we just multiply by 100, and this gives us 37.5%.
I hope this helps!
Answer:
You have three card : 1, 2, 3 and 4.
You first pick one card randomly, the probability of picking a number less than 3 is:
P = 2/4
You then pick a second card after putting the first card back, the probability of picking a number greater than 1 is:
P = 3/4
=> The probability of picking a number less than 3 and then picking a number greater than 1:
P = (2/4) x (3/4) = 3/8
Hope this helps!
:)
Jada is visiting new york city to see the empire state building she is 100 feet away when sge spots it.To see the top she has to look up at an angle of 86.2 dehrees how tall is the empire state building
Answer:
Height of the empire building = 1505.57 ft
Step-by-step explanation:
Jada is visiting new York city to see the empire state building . She is 100 ft away when the she spots it. To see the top she has to look at an angle of 86.2° . The illustration forms a right angle triangle.
The height of the empire can be gotten below.
the adjacent side of the triangle formed = 100 ft
The side we are looking for is the opposite side which is the height of the empire state building. The angle formed is the angle of elevation from the ground to the top which is 86.2°
Using SOHCAHTOA principle the height can be gotten with the tangential degree.
tan 86.2° = opposite/adjacent
tan 86.2° = a/100
a = 100 tan 86.2
a = 100 × 15.0557227245
a = 1505.57227245
a ≈ 1505.57 ft
Height of the empire building = 1505.57 ft
I have two bags of counters.
The first bag contains two red counters and one blue counter.
The second bag contains one red counter, one blue counter
and two yellow counters.
I take a counter at random from both bags.
a) What is the probability that the two counters will be the same colour?
b) What is the probability that exactly one of the counters will be red?
Answer:
oooooh Mathswatch.a=3/12 b=7/12
Step-by-step explanation:
a=You need to list all the probability out
There is a total of 24 possibility and 6 of them are the same colour. Simplify it, it becomes 3/12
b= see the photo. (sorry the photo wasn't too good, I am on a computer)
There are a total of 14 combination that has one red counter in it, simplify it, it is 7/12
A) The probability that the two counters will be the same colour is; ¼
B) Probability that exactly one of the counters will be red is; P(exactly one counter is red) = 7/12
We are told that he has 2 bags of counters;
First bag;
- 2 red counters
- 1 blue counter
Second bag;
- One red counter
- One blue counter
- two yellow counters
A) He takes a counter from both bags, probability that they will be same colour is;
RR or BB
Now, P(RR) = ⅔ × ¼ = 2/12
P(BB) = ⅓ × ¼ = 1/12
Thus;
P(both same colour) = 2/12 + 1/12
P(both same colour) = ¼
B) Probability that exactly one of the counters will be red;
The possible combinations in this way that have a red is 14.
Meanwhile total possible combinations is 24.
Thus;
P(exactly one counter is red) = 14/24
P(exactly one counter is red) = 7/12
Read more at; https://brainly.com/question/16601588
Which is a right triangle formed using a diagonal through the interior of the cube?
A .triangle BDH
B .triangle DCB
C .triangle GDC
D .triangle GHE
Answer:
GDC
Step-by-step explanation:
Find the exact value of cot (theta) for an angle (theta) with sin (theta)= -1/6 and with its terminal side in Quadrant III.
Answer:
cotθ = √35 = 5.91
Step-by-step explanation:
Explanation:-
Given sin(θ) = -1/6
[tex]cosec(theta) = \frac{1}{sin(theta)} = \frac{1}{\frac{-1}{6} } = -6[/tex]
We will use trigonometric formula
co sec ²θ -cot²θ =1
cot ² θ = co sec ²θ - 1
cot ² θ = (-6)² -1 = 36 -1 =35
cotθ = √35 = 5.91
Given' θ' is Quadrant III.
In third quadrant cotθ and tanθ are positive
cotθ = √35 = 5.91
Write the following fractions in order of size.
Start with the smallest fraction.
(anyone pleasee
｡☆✼★ ━━━━━━━━━━━━━━ ☾
You have to convert them so they have a common denominator
A common multiple of all these is 24
3/4 --> 18/24
5/12 --> 10/24
1/2 --> 12/24
1/4 --> 6/24
2/3 --> 16/24
Now you can easily compare the values
The correct order would be:
D B C E A
Have A Nice Day ❤
Stay Brainly! ヅ
- Ally ✧
｡☆✼★ ━━━━━━━━━━━━━━ ☾
Answer:
Order is DBCEA (1/4, 5/12, 1/2, 2/3, 3/4)
Step-by-step explanation:
Reason that is the order is if you make everthing have a common denominator of 12 you get:
A=9/12
B=5/12
C=6/12
D=3/12
E=8/12
If you rearrange and simplify again you get the order of DBCEA or 1/4, 5/12, 1/2, 2/3, 3/4
Need help - check image
Answer:
All real numbers
Step-by-step explanation:
The range is the possible output values
This is a line and the output goes from negative infinity to positive infinity
The range is all real numbers
Answer:
A
Step-by-step explanation:
Since it's a straight line, it extends from negative infinity to positive infinity
A child throws a ball upward with an initial velocity of 15 ft/s from a height of 2 feet. Let ℎ = 0 and solve. If no one catches the ball, how long will it be in the air? Round to the nearest hundredth. ℎ = −16 2 + v + where v is the initial upward velocity with starting height
Answer:
1.056 seconds
Step-by-step explanation:
Solution:-
- When a ball is thrown vertically in air from a height of "so" from the ground at a velocity of " vo " it follows a parabolic trajectory. The ball undergoes its upward motion against gravity. Hence, it has negative acceleration of a = -g = -32 ft/s^2.
- When the balls reaches its maximum height in air, it starts its downward journey under the complete influence of gravity; hence, it accelerates with a = +g = 32 ft/s^2.
- The entire trajectory of the ball is governed by the constant acceleration "a" due to gravity and neglecting any other effects on the ball i.e air resistance.
- There are three kinematic equation of motion valid for any particle undergoing independent one dimensional motion with constant acceleration.
- For vertical trajectory the displacement "h" from the ground is given by the second kinematic equation of motion:
h - so = vo*t + 0.5*a*t^2
h = vo*t + 0.5*a*t^2 + so
Where the parameters are given as:
so = 2 feet
vo = 15 ft/s
a = - 32 ft/s^2
Therefore we have:
h = 15*t + 0.5*(-32)*t^2 + 2
h = -16t^2 + 15t + 2
- To determine the amount of time the ball is in air the displacement is given by the distance from the ground. The journey starts when the ball is thrown from height "so" and ends when it strikes the ground; hence, at h = 0 ft.
0 = -16t^2 + 15t + 2
0 = 16t^2 -15t - 2
- Use the quadratic formula to solve for time "t":
[tex]t = \frac{-b+/-\sqrt{b^2 - 4*a*c} }{2a} \\\\at^2 + bt + c = 0[/tex]
- Plug in the respective constants:
[tex]t = \frac{15+/-\sqrt{15^2 - 4*16*-2} }{32} \\\\ t = \frac{15+/-18.78829 }{32} \\\\t = 1.056 s[/tex]
- The total time for ball in air would be 1.056 seconds. ( Neglect the negative value of time )
El volumen de un cubo ed de 125 cm3. ¿cuantas veces aumentara el volumen de ese cubo si se duplica la medida de su arista?
Answer:
The volume would increase 8 times
Step-by-step explanation:
The volume of a cube is given by the following formula:
Volume = side^3
With a volume of 125 cm3, we have:
125 = side^3
Now, if we double the length of the side, we have that:
New volume = (2*side)^3
New volume = 8*side^3
New volume = 8 * 125 = 1000
So the ratio of the new volume over the old volume is:
New volume / Volume = 1000 / 125 = 8
So the volume increased 8 times.
What scale factor will dilate triangle ABC so that it has the same vertices as triangle DEF?
Answer:
0.5
Step-by-step explanation:
Answer:
answer is 0.5 just got it right
Step-by-step explanation:
3,024 divided by 336
Answer:
your answer would be 9. hope this helps!
Answer:
-Dividing 3,024 by 336 would give you 9:
[tex]3,024 \div 336 = 9[/tex]
Classify the triangle by its sides and then by its angle
Answer:
equilateral right triangle
Step-by-step explanation:
7^2+7^2=c^2
49+49=c^2
c^2=98
c=10
Therefore, equilateral right triangle
What is the volume of this rectangular prism?
Answer:
12/5 cm^3
Step-by-step explanation:
When you try and figure out volume, you want to multiply all of the sides a shape in order to get it.
The formula for volume is L x W x H
Now let's substitute all of the units with it's corresponding numbers:
L=3
W=4/3
H=3/5
Then just multiply:
3*4/3 = 4
4*3/5=12/5
Then you get the answer 12/5 cm^3
Answer:
[tex]2 \frac{2}{5} {cm}^{3} [/tex]
Step-by-step explanation:
[tex]volume = whl \\ = 3 \times \frac{4}{3} \times \frac{3}{5} \\ = \frac{36}{15} {cm}^{3} \\ = 2 \frac{6}{15} {cm}^{3} \\ = 2 \frac{2}{5} {cm}^{3} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!!
A baker can bake 20 cakes per hour. How long will it take him to bake 400 cakes
Answer:
20 hours
Step-by-step explanation:
20x20
Answer: 20 hours
Step-by-step explanation:
Hour=60 min
20 cakes=60 min
400 ÷ 20 = 20 hours
Simplify cos[arccsc((2√3)/3)].
Answer:
1/2Step-by-step explanation:
Given the expression cos[arccsc((2√3)/3)]
let y = arccsc((2√3)/3)
Taking cosec of both sides we have;
cosecy = cosec[arccsc((2√3)/3)]
cosecy = (2√3)/3
1/siny = (2√3)/3
sin y = 3/2√3
Rationalizing 3/2√3
= 3/2√3 *√3/√3
= 3√3/2*3
= 3√3/6
= √3/2
siny = √3/2
y = arcsin(√3/2)
y = 60°
Since y = arccsc((2√3)/3) = 60°
cos[ arccsc((2√3)/3)] = cos60°
cos60° = 1/2
Answer:
It is 1/2
Step-by-step explanation:
compute: (3.5· 2/7 − 2/3 )÷16
Answer:
≅ 0.02083333
Step-by-step explanation:
(3.5 * 2/7 - 2/3)÷16 = 1
48
≅ 0.02083333
1: Conversion a decimal number to a fraction: 3.5
2: Multiple: 3.5 * 2
7
= 7 · 2
2 · 7
= 14
14
= 1 · 14
1 · 14
= 1
3: Subtract:
4: Divide
Hope this helps.
1/48 is the value of (3.5· 2/7 − 2/3 )÷16.
What is Expression?An expression is combination of variables, numbers and operators.
(3.5 × 2/7 − 2/3 )÷16
Three point five times of two by seven minus two by three divided by sixteen.
Three point five times of two is 2 is seven
(7/7-2/3)÷16
(1-2/3)÷16
(1/3)÷16
1/3×1/16
1/48
Hence, 1/48 is the value of (3.5· 2/7 − 2/3 )÷16.
To learn more on Expressions click:
https://brainly.com/question/14083225
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Zain bought ice cream and sherbet at the grocery store and is placing the containers in the freezer. The container of ice cream was sold in a 10" × 14" × 12" container, and the sherbet was sold in an 11" × 18" × 9" container. How much less space does the container of ice cream occupy than the container of sherbet? *
Answer:
102 in^3.
Step-by-step explanation:
Volume of the ice cream container = 10*14*12 = 1680 in^3.
Volume of the sherbet container = 11*18^9 = 1782 in^3.
So the answer is 1782 - 1680
= 102 in^3.