Answer: 25 units squared
Step-by-step explanation:
1) A square has 4 equal sides.
2) The area of a square is length x width.
3) Therefore, 5x5 = 25 units squared (area is always reported in units squared).
Find the nominal rate jm equivalent to the annual effective rate j, if (a) j= 6%, m = 2; (b) j = 9%, m = 4; (c) j = 10%, m = 12; (d) j = 17%, m = 365; (e)j = 8%, m = 52; j = 11.82%, m = 00. Ans. (a) 5.91%; (b6) 8.71%; (e) 9.57%; (d) 15.70%; (e) 7.70%:
A consumer buys goods worth $1500, paying $500 down and $500 at the end of 6 months. If the store charges interest at j1a = 18% on the final payment will be necessary at the end of one year?
The length of the hypotenuse is??
Answer:
[tex]x = 14.31[/tex]
Step-by-step explanation:
According to PYTHAGORAS Theorem,
let the Hypotenuse be x
[tex] {6}^{2} + {13}^{2} = {x}^{2} \\ 36 + 169 = {x}^{2} \\ 205 = {x}^{2} \\ \sqrt{205} = x \\ x = 14.31[/tex]
Answer: 14.32
Step-by-step explanation:
To find the length of the hypotenuse, we need to use the Pythagorean Theorem.
Pythagorean Theorem: a²+b²=c²
Since we are given the legs, we can plug them in to find c.
[tex]6^2+13^2=c^2[/tex] [exponent]
[tex]36+169=c^2[/tex] [add]
[tex]205=c^2[/tex] [square root both sides]
[tex]c=\sqrt{205}[/tex]
[tex]c=14.32[/tex]
The hypotenuse is approximately 14.32.
What is the area of the trapezoid?
Answer:
A=a+b
2
Step-by-step explanation:
To find the area of a trapezoid, multiply the sum of the bases (the parallel sides) by the height (the perpendicular distance between the bases), and then divide by 2.
700,000 rounded to the nearest hundred thousand
Answer:
700,000
Step-by-step explanation:
700,000 is already a 100,000, therefore there is no rounding to do.
Answer:
700,000 is the answer
Step-by-step explanation:
A spring has natural length 20 cm. Compare the work W1 done in stretching the spring from 20 cm to 30 cm with the work W2 done in stretching it from 30 to 40 cm. (Use k for the spring constant) How are W2 and W1 related?
Answer:
W₂ is three times W₁ (W₂ = 3W₁)
Step-by-step explanation:
Applying,
W = ke²/2............. Equation 1
Where W = workdone in stretching the spring, k = spring constant, e = extension.
For W₁,
W₁ = ke₁²/2
Given: e₁ = 30-20 = 10 cm = 0.1 m
Substitute these value into equation 1
W₁ = k(0.1²)/2
W₁ = 0.005k Joules
For W₂,
W₂ = (ke/2)-W₁
Given: e = (40-20) = 20 cm = 0.1 m
Substitute these value into equation 1
W₂ = (k×0.2²/2)-0.005
W₂ = 0.015k Joules.
W₂/W₁ = 0.015k/0.005k
W₂/W₁ = 3
Therefore,
W₂ = 3W₁
|x|+|x+1|+|x+2|+|x+3|+...+|x+2021=2021x
Answer:
jo pahle wale X hai na na X + x plus 1 unhen Yad Karke answer 1 aaega FIR X + 2 =_= + 3 X + 3 yah answer Aaya 1 or 2 X + ka ok
Step-by-step explanation:
FIR hai x+ x and ++ 2021 x
2021x
FIR + Kannan donon ko x
ans
x - 3 X
x - 4042
yah answer aayega ine donon ka the solve this question ok friend
(sin 10° + cos 10º)2 - 2 sin 80°cos 80°
Answer
the simplied form of the given question is 1
help me please. who ever answers gets brainliest
Answer:
32
Step-by-step explanation:
(4x6)/2+(2x2)/2+2x2+(2x6)/2
!!PLEASE ANSWER ASAP!!
Simplify 1 - x - X/1
A) X
B) 1
C) 0
The figure shows an equilateral triangle with its sides as indicated. find the length of each side of the triangle .
I Will Mark Brainliest
Answer:
21
Step-by-step explanation:
All three sides are equal
2x-7 = x+y-9 = y+5
Using the last two
x+y-9 = y+5
Subtract y from each side
x+y-9-y = y+5-y
x-9 = 5
Add 9 to each side
x -9+9 = 5+9
x=14
We know the side length is
2x-7
2(14) -7
28-7
21
The side length is 21
A vending machine dispenses coffee into a twenty-ounce cup. the amount of coffee dispensed into the cup is normally distriubuted with a standard deviation of 0.03 ounce. You can allow the cup to overfill 2% of the time. What amount should you set as the mean amount of coffee to be dispensed?
Answer:
x=20.938
Step-by-step explanation:
-2.053748911 = (x - 21)/.03
x=20.938
Find the arclength of the curve r(t) = ⟨ 10sqrt(2)t , e^(10t) , e^(−10t)⟩, 0≤t≤1
Answer:
[tex]\displaystyle AL = 2sinh(10)[/tex]
General Formulas and Concepts:
Pre-Calculus
Hyperbolic FunctionsCalculus
Differentiation
DerivativesDerivative NotationDerivative Property [Multiplied Constant]: [tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]
Derivative Rule [Chain Rule]: [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Exponential Differentiation
Integration
IntegralsIntegration Constant CDefinite IntegralsParametric Integration
Vector Value Functions
Vector IntegrationArc Length Formula [Vector]: [tex]\displaystyle AL = \int\limits^b_a {\sqrt{[i'(t)]^2 + [j'(t)]^2 + [k'(t)]^2}} \, dt[/tex]
Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle \vec{r}(t) = <10\sqrt{2}t , e^{10t} , e^{-10t} >[/tex]
Interval [0, 1]
Step 2: Find Arclength
Rewrite vector value function: [tex]\displaystyle r(t) = 10\sqrt{2}t \textbf i + e^{10t} \textbf j + e^{-10t} \textbf k[/tex]Substitute in variables [Arc Length Formula - Vector]: [tex]\displaystyle AL = \int\limits^1_0 {\sqrt{\bigg[\frac{d}{dt}[10\sqrt{2}t \textbf i]\bigg]^2 + \bigg[\frac{d}{dt}[e^{10t} \textbf j]\bigg]^2 + \bigg[\frac{d}{dt}[e^{-10t} \textbf k ]\bigg]^2}} \, dt[/tex][Integrand] Differentiate [Respective Differentiation Rules]: [tex]\displaystyle AL = \int\limits^1_0 {\sqrt{[10\sqrt{2} \textbf i]^2 + [10e^{10t} \textbf j]^2 + [-10e^{-10t} \textbf k]^2}} \, dt[/tex][Integrand] Simplify: [tex]\displaystyle AL = \int\limits^1_0 {\sqrt{200 \textbf i + 100e^{20x} \textbf j + 100e^{-20x} \textbf k}} \, dt[/tex][Integral] Evaluate: [tex]\displaystyle AL = 2sinh(10)[/tex]Topic: AP Calculus BC (Calculus I + II)
Unit: Vector Value Functions
Book: College Calculus 10e
Point C partitions AB into two parts so that the ratio of the length of AC to the length of CB is 1:5. What are the coordinates of point ?
Select and drag a number to each empty box to correctly complete the coordinates of point
The coordinates of point C are?
9514 1404 393
Answer:
C(-1, -4)
Step-by-step explanation:
We want ...
AC/CB = 1/5
5(C-A) = B-C . . . . multiply by 5CB
6C = B +5A . . . . . add 5A-C
C = (B +5A)/6 . . . divide by 6
C = ((4, 6) +5(-2,-6))/6 = (4-10,6-30)/6 = (-6, -24)/6
C = (-1, -4)
If £15=$20 and $5=390 find the number of pounds that can be exchanged
200
Mark as braianlist
15 multiple by 5 equal 75 -390 equal 315 -15equal 200
Wesley is making a patio from stones of two sizes, 5 inch wide and 10 inch wide. He wants to begin and end his pattern with a 10 inch stone so there will be one more of the 10 inch stones than of 5inch stones. His patio will be 130 inches wide.
How many 10 inch stones will Wesley need for one row?
9514 1404 393
Answer:
9
Step-by-step explanation:
If x is the number of 10-inch stones, then (x-1) is the number of 5-inch stones, and the total width is ...
10x +5(x-1) = 130
15x -5 = 130 . . . . . . . eliminate parentheses
15x = 135 . . . . . . add 5
x = 9 . . . . . . . divide by 15
Wesley will need 9 10-inch stones for one row.
My son is 31 years younger than me. In one years time my son's age will be one quarter my current age. How old am I?
Question 2 of 10
Which pair of functions are inverses of each other?
O A. f(x) = i +15 and g(x) = 12x - 15
O B. f(x) = - 10 and g(x) = 2410
O C. f(x) = y3x and g(x) = (3) 3
O D. f(x) = 11x- 4 and g(x) = 4
SUBMIT
Answer:
option c f(x)=-10and g(x)=2410
Just answer the questions please
Answer:
1)( y= 0.12 * x ) y(dependent) , x(independent) 2) x=150 : y=18 / x=300 : y=36 / x=450 : y=54 / x=600 : y=72 / x=750 : y=90 / x=900 : y=108 3) 300+750+1050=2100 pound
2100*0.12=252 pound food they need to eat in each day
252*7=1764 pound in each month
What lines are parallel?
w • (-4+ z) = mz + 17
z = ____
solve for z.
ps.. pls help me lol. i need the answer
Answer:
z = (17+4w)/(w-m)
Step-by-step explanation:
w • (-4+ z) = mz + 17
Distribute
-4w +wz = mz+17
Subtract mz from each side
-4w +wz - mz = mz+17-mz
-4w +wz-mz = 17
Add 4w to each side
-4w +4w+wz-mz = 17+4w
wz-mz = 17+4w
Factor out z
z(w-m) = 17+4w
Divide by (w-m)
z(w-m)/(w-m) = (17+4w)/(w-m)
z = (17+4w)/(w-m)
Express the equation 5(x-8)^2=y-12 in the form y=a(x-h)+k, then identify a,h, and k.
9514 1404 393
Answer:
y = 5(x -8)^2 +12a=5h=8k=12Step-by-step explanation:
5(x-8)^2=y-12 . . . . given
y = 5(x -8)^2 +12 . . . . add 12
Comparing to the required form, we see that ...
a = 5h = 8k = 12(y - .18) x .08 = needing help
Answer:
0.08y - 0.0144
Step-by-step explanation:
We need to solve the below expression i.e.
(y - .18) x .08
It can be done as follows :
Using distributive property to solve it.
(y - .18) x .08 = 0.08(y) - 0.18(0.08)
= 0.08y - 0.0144
So, the equivalent expression is 0.08y - 0.0144.
I WILL MARK AS BRAINLIES
PLEASE HELP ME AND BE CORRECT BEFORE ANSWERING
Answer:
Both are true
Step-by-step explanation:
Both are true
Ben travels a regular distance of 80 miles to reach office. Today, he used an alternative route that covered a distance of only 75 miles. What is the decrease in the percentage of the distance travelled by ben
Answer:
Ben traveled 93.75% of his usual distance.
Step-by-step explanation:
Given that Ben travels a regular distance of 80 miles to reach office, and today he used an alternative route that covered a distance of only 75 miles, to determine what is the decrease in the percentage of the distance traveled by Ben, the following calculation must be done:
80 = 100
75 = X
75 x 100/80 = X
93.75 = X
Therefore, Ben traveled 93.75% of his usual distance.
How many ways can four marbles be chosen from a set of five marbles?
Answer:
120
Step-by-step explanation:
5x4x3x2x1=120
Solve for x
6x + 11= - (6x + 5)
Answer:
x = -4/3
Step-by-step explanation:
6x + 11 = -6x - 5
12x = -16
x = -4/3
Answer:
x = -4/3
Step-by-step explanation:
6x + 11= - (6x + 5)
Distribute the minus sign
6x+11 = -6x-5
Add 6x to each side
6x+11 +6x = -6x-5+6x
12x+11 = -5
Subtract 11 from each side
12x+11-11 = -5-11
12x = -16
Divide by 12
12x/12 = -16/12
x = -4/3
Samuel baked 81 cakes how many more cake does Samuel have to bake to have 123 cakes
Answer:
42 cakes
Step-by-step explanation:
123 - 81 = 42
.....
Samuel needs to bake 42 more cakes to have a total of 123 cakes.
To find out how many more cakes Samuel needs to bake to have a total of 123 cakes, we subtract the number of cakes he already baked from the desired total.
Total desired cakes: 123
Cakes already baked: 81
To find the remaining cakes, we subtract the number of cakes already baked from the desired total:
123 - 81 = 42
Therefore, Samuel needs to bake 42 more cakes to have a total of 123 cakes.
To know more about cakes , here
https://brainly.com/question/30083703
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In the figure, triangles ABC and DEF are congruent.
Find the measure of DF.
a. 13m
b. 13m
c. 7m
d. 13.928m
Please show work to help me understand.
since the two triangles are congruent..
AB=ED
AC=FD(side opposite to the right angle)
FD=AC
•°•FD=13m
What are the measures of Angles a,b, and c? show your work and explain your answers.
Answer:
a=35
b=55
c=110
Step-by-step explanation:
a=35
Opposite angles which are non-adjacent angles formed by two intersecting lines are equal
b+35+90=180 sum of interior angle of a triangle equal to 180
b=180-125
=55
c+70=180 Angles on a straight line add up to 180°
c=180-70
=110
The following sample of weights was taken from 8 cookies off the assembly line. Construct the 95% confidence interval for the population variance for all cookies that come off the assembly line. Round your answers to two decimal places.
9.6,10.2,10.3,9.2,9.5,10.1,9.2,9.4
Answer:
what are you asking
Step-by-step explanation:
