Answer:
For an nth term in an arithmetic sequence
U(n) = a + (n - 1 )d
a = first term
d = common difference
U(n) = 10 + (n -1)-3
= 10 - 3n + 3
= 13 - 3n
Hope this helps.
Answer: -3n + 13
Step-by-step explanation:
Eva invested $10,000 in a savings account. If the interest rate is 3.5%, how much will be in the account in 10 years by
compounding continuously? Round to the nearest cent.
Answer:
The total in the account after 10 years would be: $14,190.68
Step-by-step explanation:
Recall the formula for continuous compounding:
[tex]A=P\,e^{r\,t}[/tex]
where "A" is the accrued value after t years (what we need to find), "P" is the principal invested (in our case $10,000), "r" is the interest rate in decimal form (in our case r = 0.035), and "t" is the time in years (in our case t = 10). Therefore the formula becomes:
[tex]A=P\,e^{r\,t}\\A=10000\,\,e^{0.035\,*\.10}\\A=14190.68[/tex]
Therefore the total in the account after 10 years would be: $14,190.68
given
[tex] log(x) = 2 \: and \: log(y) = - 1[/tex]
prove that
[tex]xy - 100y {}^{2} = 9[/tex]
Step-by-step explanation:
[tex] log(x) = 2 \\ {10}^{2} = x \\ x = 100[/tex]
then for y:
[tex] log( y) = - 1 \\ {10}^{ - 1} = y \\ y = 0.1[/tex]
so:
[tex]xy - 100 {y}^{2} \\ = 100 \times 0.1 - 100 \times {(0.1)}^{2} \\ = 10 - 100 \times 0.01 \\ = 10 - 1 \\ = 9[/tex]
HELP ME PLEASE THIS IS TOO MUCH FOR ME its 2 questions
Answer:
1. 5cm
2. 10 [tex]\sqrt{2}[/tex]
Step-by-step explanation:
Answer:
You got the answer right.
The first question BC is 5 cm.
In the second question, we gotta find the hypotenuse.
In a 45 45 90 triangle, the hypotenuse will have a length of [tex]x\sqrt{2}[/tex], therefore, the side AC is equal to [tex]10\sqrt{2}[/tex].
X-2/3 = 2x+4/2
Show answer
Answer:
x = -4
Step-by-step explanation:
Make x variable on one side.
(x - 2)/3 = (2x + 4)/2
Simplify.
x/3 - 2/3 = 2x/2 + 2
x/3 - 2/3 = x + 2
Add 2/3 and -x on both sides.
x/3 - x = 2 + 2/3
-2/3x = 8/3
Multiply -3/2 on both sides.
x = -4
Answer:
x=-4
Step-by-step explanation:
(x-2)/3 = (2x+4)/2
We can use cross products
(x-2) *2 = 3(2x+4)
Distribute
2x-4 = 6x+12
Subtract 2x from each side
2x-4-2x = 6x-2x+12
-4 = 4x+12
Subtract 12
-4-12 = 4x+12-12
-16 = 4x
Divide by 4
-16/4 = 4x/4
-4 =x
Select the correct shapes.
Select the shapes that are similar to shaoe A
Answer:
A , B and C are similar to each other
Step-by-step explanation:
Please give me branlest
If a person can complete a job in 8 hours and his/her friend needs 6 hours to do the same job, what portion of the job would the tow of them complete by working together
for two hours?
Both of them can complete 7/12 of the job in 2 hours.
What is rate?Rate is the mathematical term use to show how one quantity varies with a standard quantity.
Analysis:
If He can do the job in 8 hours, then he can do 1/8 of the job in 1 hour
If his friend can do the same job in 6 hours, then he can do 1/6 of that job in 1 hour.
So both of them would do the same job combine in 1 hour = 1/8 + 1/6
LCM of 6 and 8 is 24 so that 3/24 + 4/24 = 7/24
In 2 hours they would complete = 7/24 x 2 = 7/12
In conclusion, both of them can do 7/12 of that job in 2 hours.
Learn more about rate: brainly.com/question/24304697
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pls find WV
a.7
b.23
c.84
d.145
Answer:
[tex]\mathrm{B}[/tex]
Step-by-step explanation:
[tex]WV=XY[/tex]
[tex]12x-61=3x+2[/tex]
[tex]12x-3x=2+61[/tex]
[tex]9x=63[/tex]
[tex]9x/9=63/9[/tex]
[tex]x=7[/tex]
[tex]12x-61[/tex]
[tex]12(7)-61[/tex]
[tex]=23[/tex]
Answer:
B. 23
Step-by-step explanation:
This is a congruent triangle by SAS Postulate
So,
XY = WV
=> 3x+2 = 12x-61
=> 2+61 = 12x-3x
=> 63 = 9x
Dividing both sides by 9
=> x = 7
Now Side WV:
=> 12(7)-61
=> 84-61
=> 23
You are going discount shopping for some new sweaters, T-shirts, and pants. Sweaters (s) cost $5, T-shirts (t) cost $8, and pants (p) cost $2. What algebraic expression models the total cost of clothes that you buy?
Suppose you bought 24 sweaters, 6 T-shirts, and 17 pairs of pants. How much did you spend?
Answer:
24s + 6t + 17p= 202
Step-by-step explanation:
Answer:
24x + 6y + 17z = 202
Step-by-step explanation:
Let sweaters be x
T-shirt be y
Pant be z
The equation is 24x + 6y + 17z
Substituting with the cost of each,
24(5) + 6(8) + 17(2)
120 + 48 + 34 = 202
The distance between points (X7, Yı) and (4, 8) is the square root of (x7 - 8)2 +
(1-4)²
A. True
B. False
Answer:
B. False
Step-by-step explanation:
Given
[tex]Points: (x_7 - y_i),(4,8)[/tex]
Required
Is the distance between them [tex]\sqrt{(x_7 - 8)^2 + (y_1 - 4)^2}[/tex]
Given that there are two points, the distance between them is calculated using
Distance = [tex]\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
In this case;
[tex](x_1,y_1)= (x_7 - y_i)\\(x_2,y_2) =(4,8)[/tex]
Substitute these in the given formula
Distance = [tex]\sqrt{(4- x_7)^2 + (8 - y_1)^2}[/tex]
Comparing this with the given formula, both are not the same;
Hence, the formula is false and the correct formula is of the form [tex]\sqrt{(4- x_7)^2 + (8 - y_1)^2}[/tex]
4/7 divided by 7/2?????
Answer:
8/49
Step-by-step explanation:
4/7 ÷7/2
Copy dot flip
4/7 * 2/7
Multiply the numerators
4*2 = 8
Multiply the denominators
7*7= 49
numerator over denominator
8/49
Answer: 8/49
Step-by-step explanation: When dividing by a fraction, we can change the division sign to multiplication and flip the second fraction.
So 4/7 ÷ 7/2 means the same thing as 4/7 · 2/7.
So when dividing by a fraction, we can just multiply by the
reciprocal of that fraction or that fraction flipped.
Now multiply across the numerators
and denominators to get 8/49.
Since 8/49 is in lowest terms, it's our final answer.
Anyone help with this too?
Answer:
36
Step-by-step explanation:
I cant be asked
Answer:
the answer is x = ( 5 + r )²
Step-by-step explanation:
I hope this was helpful
Squares and rectangles have the same properties except ANSWERS: A) Opposite angles are congruent. B) Opposite sides are parallel. C) All four sides are congruent. D) Opposite sides are congruent.
Answer: C
Step-by-step explanation:
C) All four sides are congruent
A rectangle does not have all four sides that are congruent to each other (In harmony) however a square does because all it's sides are equal!
A rectangle does not have equal sides, only it's parrel sides are equal to each other.
If this really helped please mark me brainliest!
Answer:
C. All four sides are congruent
What is the point-slope equation of the line with slope
3/2
that goes through the
point (-3,5)?
Answer:
y-5 = 3/2(x+3)
Step-by-step explanation:
The point slope form of the equation for a line is
y-y1 = m(x-x1) where m is the slope and (x1,y1) is a point on the line
y-5 = 3/2(x--3)
y-5 = 3/2(x+3)
Answer:
y-5 = 3/2(x+3)
Step-by-step explanation:
I did ze math
HELP ME PLSSSSSsss Solve the following inequality: 5|2x + 4| > -10? Would it be all real numbers....
Answer:
all real numbers
Step-by-step explanation:
5|2x + 4| > -10
Divide by 5
5/5|2x + 4| > -10/5
|2x + 4| > -2
An absolute value is always greater than a negative number so the solution is all real numbers
In the diagram, point P is a point of tangency. Find the radius r of circle O.
Answer:
r = 12
Step-by-step explanation:
From the figure attached,
QP is a tangent to the circle O at the point P.
Therefore, by the property of tangency,
OP ⊥ QP
By applying Pythagoras theorem In right triangle QPO,
(Hypotenuse)² = (Leg 1)² + (Leg 2)²
(OQ)² = (OP)² + (PQ)²
(25 + r)² = (35)² + r²
625 + r² + 50r = 1225 + r²
50r = 1225 - 625
50r = 600
r = 12
Therefore, r = 12 units is the answer.
Answer:
r=12
Step-by-step explanation:
Rewrite in radical form PLEASE HELP
Answer:
b)7c∛d⁵
or
c) 7c∛d⁵
Both options are the same
Step-by-step explanation:
In the above diagram, we are asked to simplify this:
= ∜c × 2d⁴/³ ×1/2c¾ ×7∛d
Collect the like terms
= ∜c × 1/2c³/⁴ × 2d⁴/³ × 7∛d
= c¹/⁴ × 1/2c³/⁴ × 2d⁴/³ × 7d¹/³
= [1 × 1/2c(¹/⁴ + ³/⁴)] × [2 × 7d(⁴/³ +¹/³)
= 1/2c(¹) × 14d(⁵/³)
= 1/2c× 14d(⁵/³)
Collect the whole number together
= 1/2× 14 [C × d(⁵/³)]
= 7cd⁵/³
Writing it in a radical form
= 7c∛d⁵
Triangle E G F is cut by line H J. Line H J goes from side E G through side G F. Lines E F and H J are parallel. Using the side-splitter theorem, which segment length would complete the proportion? StartFraction G H Over H E EndFraction = StartFraction question mark Over J F EndFraction GF JH GJ EF
Answer:
GJ
Step-by-step explanation:
The "Side Splitter" Theorem says that if a line intersects two sides of a triangle and is parallel to the third side of the triangle, it divides those two sides proportionally.
In this case, lines EF and HJ are parallel, H is on side EG and J is on side GF; then using the side-splitter theorem:
[tex] \frac{GH}{HE} = \frac{GJ}{JF} [/tex]
Answer:
It is C
Step-by-step explanation:
Took it on Edg
Which coordinate pair is a solution of the linear
equation below?
5x – 3y = -21
Click on the correct answer.
(9,-8)
(-9,-8)
(-9,8)
Answer:
5x - 3y = -21
5x - 3y
= 5(-9) - 3(-8)
= -45 + 24
= -21
the answer is (-9,-8)
whats the answer???
Answer:
A
Step-by-step explanation:
When two angles are complementary, their measures must add up to 90 degrees. Therefore:
2x-2+3x-5=90
5x-7=90
5x=97
x=19.4
2x-2=2(19.4)-2=38.8-2=36.8
Therefore, the correct answer is choice A. Hope this helps!
Tessa bought stock in a restaurant for $178.00. Her stock is now worth $256.32. What is the percentage increase of the value of Tessa‘a stock?
Answer: 44%
Step-by-step explanation:
Cost of stock = 178
Present value = 256.32
Increase in value = 78.32
= 78.32/178 x 100 = 44%
Answer:
44%
Step-by-step explanation:
Well first you have the starting value $178 and the new value $256.32.
So 256.32 - 178 is 78.32.
So our fraction is 78.32/178.
So we divide them which is .44.
And we have to make a percent which is 44%.
Solve the formula 27a+1/2b=4 for a.
Answer:
a = 4/27 - b/54
Step-by-step explanation:
27a+1/2b=4
Subtract 1/2 b from each side
27a+1/2b - 1/2 b=4-1/2 b
27a = 4 - 1/2 b
Divide each side by 27
27a/27 = 4/27 - 1/2 b/27
a = 4/27 - b/54
Neil is making colorful friendship bracelets for 6 of his friends. He has all of the colors of
thread he plans to use except for green. If every bracelet uses 22 inches of each color of
thread, how many feet of green thread should Neil buy from the craft store?
Answer:
11 feet(or 132 inches)
Step-by-step explanation:
Since there are 6 bracelets to make, we can multiply 22 and 6 to get 132.
The correct unit / format to answer this is in feet and all we have right now is the amount of inches we must convert.
132 inches converted into feet can be found by dividing by the amount of inches there are in a 1 foot.
Since there are 12 inches in a foot, we can divide 132 by 12 to get 11.
Can anyone help. Thanks
Answer:
Option C
please see the attached picture for full solution
hope it helps..
Good luck on your assignment...
At the sandwich shop, there are 3 different meats and 4 different cheeses from which to choose. How many different sandwiches can be made using one meat and one cheese? A. 2 B. 3 C. 7 D. 12
Answer:
D. 12
Step-by-step explanation:
D. 12 as 4 x 3 = 12
Proof
1 1
1 2
1 3
1 4
2 1
2 2
2 3
2 4
3 1
3 2
3 3
3 4
Sandwiches = 12
Answer:
12
Step-by-step explanation:
4*2=12
please mark me brainliest :)
Mikes mother took 18 minutes to make 2 bowls of salad. How long would it take to make 7 such bowls of salad?
Answer:
63 minutes or 1 hour 3 minutes
Step-by-step explanation:
We can use ratios to solve
18 minutes x minutes
--------------- = --------------
2 bowls 7 bowls
Using cross products
18*7 = 2x
Divide by 2
18/2 *7 = x
63 minutes
Answer: 63 minutes or 1 hour and 3 minutes
Step-by-step explanation:
18 minutes is how long it takes to make 2 bowls. To find out how long it takes to make 1 bowl, divide by 2.
18 / 2 = 9
Now multiply that by 7 to find out how long it takes to make 7 bowls.
9 * 7 = 63
63 minutes
solve for x, x+3y=-3
Answer:
x = -3y-3
Step-by-step explanation:
To put the equation in terms of x, you simply subtract 3y on both sides.
Answer:
x = -3 -3y
Step-by-step explanation:
x+3y=-3
Subtract 3y from each side
x+3y-3y=-3-3y
x = -3 -3y
How many hundreds in a billion
Answer:
Step-by-step explanation:
1 one 10 ten 100 hundred 1.000 one thousand 10,000 ten thousand 100,000 hundred thousand 1,000,000 One million 10,000,000 ten million 100,000,000 Hundred million 1,000,000,000 One billion 10,000,000,000 ten billion 100,000,000,000 hundred billion 1,000,000,000,000 one trillion etc.
Answer:
10,000,000
Step-by-step explanation:
Which of these units should be used to measure the mass of a small dog? A. milligram B. centigram C. gram D. kilogram
Answer:
D. kilograms
Step-by-step explanation:
A small dog is about the size of a human infant. We measure infants in kilograms, so the option best fitting for measuring a dog would be kilograms or kg.
The lines shown below are parallel. If the green line has a slope of -2, what is the slope of the red line? A. 1/2 B. -1/2 C. 2 D. -2
Answer:
D, -2
Step-by-step explanation:
Hello! If two lines are parallels, it means they will never meet. This means that they have to be the same slope, because if one is even the slightest bit different, it will eventually touch the other line! A great website to understand visually, is Desmos! You can plot the lines and see for yourself if you're a visual learner!
Hope this helps! :)
Color the strips. Show two different ways to show 1 third.
Picture above.
Answer:
The first way is to color only the leftmost box of the three, and the second is to color only the rightmost box. Reference the example if you need further clarification.