Answer:
the answer is m=11/16 you can just count if not then simplify what you get
Paula opens a bank account that earns 6% interest. Her initial deposit is $400.
How much money does Paula have after 15 years?
Answer:
$461,168.60Step-by-step explanation
Turn the percentage into a decimal Take much much she has in the bankput () around 1+.6y=400(1+.6)^15 and calculate the problem and round to the nearest 100thWhat is the area of a circle with a diameter of 15. 8cm? To the nearest hundredth
Answer:
see below
Step-by-step explanation:
First we need to find the radius
r =d/2 = 15.8/2 = 7.9 cm
The area of a circle is given by
A = pi r^2
= pi ( 7.9) ^2
=62.41 pi
Using 3.14 for pi
195.9674
To the nearest hundredth
195.97
Using the pi button
196.0667975
To the nearest hundredth
196.07
How many terms are there in the expression 5xy² 35xy²?
There are two terms in the given expression 5xy²+ 35xy².
What is meant by term?
Terms comprise expressions. A term may be a constant, a variable, or a combination of variables and constants.
What is an example of a term?
It could be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase. Single-word examples: A single phrase is 3x.
There are two terms in the equation 5xyA ^2 + 35xyA^2 that is separated by an arithmetic operator +.
To learn more about term visit the link:
https://brainly.com/question/12786767
#SPJ4
I need helppp plzz
i'll brainliest
Answer:
Step-by-step explanation:
Since B is the midpoint, AB must be equal to BC.
AB = BC
7x - 4 = 3x + 32
Isolate the variable
7x - 4 = 3x + 32
4x = 36
x = 9
Now solve for one side.
AB = 7x - 4
AB = 7(9) - 4
AB = 59
Since both sides are equal, finding AC just means multiplying one side by 2.
AC = AB * 2
AC = (59) * 2
AC = 118
You can double check by finding the other side and multiplying by 2.
BC = 3x + 32
BC = 3(9) + 32
BC = 27 + 32
BC = 59
AC = BC*2
AC = 59*2
AC = 118
Let me know if you have any questions!
PLEASE HELP SOON!!
Q.1 What is the expression written in simplified radical form? 6 sqrt 27 + 11 sqrt 75
Q.2 53√5 x (-103√50)
Q.3 Which expressions simplify to a rational answer?
Select each correct answer.
1/4 + 1/2
sqrt3 + 4
sqrt4 + 7
2 x sqrt9
7 x sqrt6
4x2sqrt3
3. 7 x (1/3)
7 x sqrt81
Step-by-step explanation:
Q.1
6×sqrt(27) + 11×sqrt(75) =
= 6×sqrt(3×9) + 11×sqrt(3×25) =
= 3×6×sqrt(3) + 5×11×sqrt(3) =
= 18×sqrt(3) + 55×sqrt(3) = 73×sqrt(3)
Q.2
53×sqrt(5) × (-103×sqrt(50)) =
= 53×-103 × sqrt(5)×sqrt(50) =
= -5459 × sqrt(5×50) = -5459 × sqrt(250) =
= -5459 × sqrt(10×25) = -5459 × 5×sqrt(10) =
= -27,295 × sqrt(10)
Q.3
1/4 + 1/2 rational (as both terms are rational)
sqrt3 + 4 irrational (as sqrt(3) is not rational)
sqrt4 + 7 rational (sqrt(4) = 2, 2+7 = 9)
2 x sqrt9 rational (sqrt(9) = 3, 2×3 = 6)
7 x sqrt6 irrational (sqrt(6) is not rational)
4x2sqrt3 irrational (sqrt(3) is not rational)
3. 7 x (1/3) rational (all terms are rational)
7 x sqrt81 rational (sqrt(81) = 9, 7×9 = 63)
Copy Central prints grayscale and colored copies. Yesterday they printed 9 grayscale copies for every 2 colored copies. If they printed 20 color copies how many grayscale copies were printed?
Answer:
90
Step-by-step explanation:
\(\frac{gray}{color}\) = \(\frac{gray}{color}\)
\(\frac{9}{2}\) = \(\frac{x}{20}\)
If you multiply 2 x 10 = 20 ,so
9 x 10 = 90
In a charity triathlon, Mark ran half the distance and swag a quarter of the distance. When he took a quick break to get a drink of Gatorade, he was just starting to bike the remaining 17 miles. What was the total distance of the race?
Answer:
68 miles
Step-by-step explanation:
The total distance can be determined from the fractions.
SolutionLet d represent the total distance of the race.
The distance running is 1/2d. The distance swimming is 1/4d. The remaining distance is 17 miles.
Remaining = total distance - distance running - distance swimming
17 mi = d -1/2d -1/4d = 1/4d . . . . . . . . use known fractions
68 mi = d . . . . . . . multiply by 4
The total distance of the race is 68 miles.
__
Additional comment
This would be a very difficult race. A typical "iron man" race has a swimming distance under 2.5 miles, less than 1/10 of the distance running. The biking distance is typically about 4 times the running distance of "only" 26 miles. An iron man race can take about 17 hours to complete.
This race has a 17-mile swimming segment, which would take a fast swimmer on the order of 8 hours, by itself. (This is 2.7 times the length of a "marathon" swim.) Here, the running distance is 34 miles, about 30% longer than a marathon.
The generic metal A forms an insoluble salt AB(s) and a complex AC5(aq). The equilibrium concentrations in a solution of AC5 were found to be [A] = 0. 100 M, [C] = 0. 0360 M, and [AC5] = 0. 100 M. Determine the formation constant, Kf, of AC5. The solubility of AB(s) in a 1. 000-M solution of C(aq) is found to be 0. 131 M. What is the Ksp of AB?
HELPPP THIS IS TIMEDD I NEED A STEO BY STEPP
Answer:
Why do you need a step by step
Step-by-step explanation:
By using sum or difference formulas, cos(-a) can be written as OA. - sin(x) B. - cos(x) Oc.cos(x) D. sin(x) OE. All of the above OF. None of the above By using sum or difference formulas, cos(-a) can be written as OA. - sin(x) B. - cos(x) Oc.cos(x) D. sin(x) OE. All of the above OF. None of the above By using sum or difference formulas, cos(-a) can be written as OA. - sin(x) B. - cos(x) Oc.cos(x) D. sin(x) OE. All of the above OF. None of the above
By using sum or difference formulas, cos(-a) can be written as - cos(a). Explanation: We know that cosine is an even function of x, therefore,\(cos(-x) = cos(x)\) .Then, by using the identity \(cos(a - b) = cos(a) cos(b) + sin(a) sin(b)\), we can say that:\(cos(a - a) = cos²(a) + sin²(a).\)
This simplifies to:\(cos(0) = cos²(a) + sin²(a)cos(0) = 1So, cos(a)² + sin(a)² = 1Or, cos²(a) = 1 - sin²\)(a)Similarly,\(cos(-a)² = 1 - sin²(-a)\) Since cosine is an even function, \(cos(-a) = cos(a)\) Therefore, \(cos(-a)² = cos²(a) = 1 - sin²(a)cos(-a) = ±sqrt(1 - sin²(a))'.\)
This is the general formula for cos(-a), which can be written as a combination of sine and cosine. Since cosine is an even function, the negative sign can be written inside the square root: \(cos(-a) = ±sqrt(1 - sin²(a)) = ±sqrt(sin²(a) - 1) = -cos\).
To know more about sum visit:
https://brainly.com/question/31538098
#SPJ11
Someone please help! Thank you
Answer:
Hey there!
We can write a equations here:
3x+y=180
Also, since all of the angles have 3x on the outside, then y must be constant.
3y=180
y=60
Thus, for x, we have 3x+60=180, 3x=120, x=40.
2x+6y
2(40)+6(60)
80+360
440.
Let me know if this helps :)
two tankers contain 800 litres and 600 litres of kerosene oil respectively.Find the maximum capacity (in litres) of a container which can measure the kerosene oil of both the tankers when used an exact number of times.
The maximum capacity of a container that can measure the kerosene oil of both tankers when used an exact number of times is 200 litres.
What is Volume?Volume is a physical quantity that refers to the amount of space occupied by a three-dimensional object or substance. It is typically measured in cubic units such as cubic meters, cubic centimeters, or cubic feet.
How to calculate Volume?Volume is calculated by multiplying the three dimensions of an object - length, width, and height - together. For example, the volume of a rectangular box can be calculated by multiplying its length, width, and height:
Volume = length x width x height
In the given question,
The maximum capacity of a container that can measure the kerosene oil of both the tankers when used an exact number of times is equal to the greatest common divisor (GCD) of the two volumes of kerosene oil.
To find the GCD of 800 and 600, we can use the Euclidean algorithm:
GCD(800, 600) = GCD(600, 200) (subtract 1 x 600 from 800)
GCD(600, 200) = GCD(200, 0) (subtract 3 x 200 from 600)
GCD(200, 0) = 200
Therefore, the maximum capacity of a container that can measure the kerosene oil of both tankers when used an exact number of times is 200 litres.
To know more about Volume, visit:
https://brainly.com/question/28058531
#SPJ1
sarahs aunt gave her 5$ for her birthday sarahs grandma gave her ten times as much as her aunt. sarah's uncle gave her $18. how much money did sarah receive for her birthday.
Therefore , as a result the unitary method answer to the given problem is to determine the total or difference: 73.
What does unitary method mean?The unitary technique is a way of problem-solving where you first calculate the amount of a single component, then multiple that value to get the answer. Simply put, a single system value is extracted from a sourced multiple using the unit method. For illustration, 40 pens will set you back 400 rupees, or $1.01. The method used to accomplish this might be standardized. a solitary nation. anything has a distinctive component. (Mathematics, Algebra) Its adjoint and reciprocal are equivalent.
Here,
Given :
Devise 18 + 5 + 5 * 10 based on the given conditions. Do the math: 18 + 5 + 50 to get the product or quotient.
Determine the difference or total: 23 + 50\s=> Determine the difference or total: 73
The answer is: 73.
As a result, the unitary method's answer to the given problem is to determine the total or difference: 73.
To know more about unitary method visit:
https://brainly.com/question/28276953
#SPJ4
Write the equation of the line (in y = ax+b form) in the
graph below. do not use any spaces when typing your
answer
Answer:
y=3x-8
Step-by-step explanation:
Solve
29 = p + 27
(A) p = 2
(B) p = 27
(C) p = 37
(D) p = 81
Answer: p = 2
29 = P + 27
-27 -27
2 = p
your answer is p=2
Step-by-step explanation:
29=p+27
-27. -27
2 = p
Please help!!! Look at the attachment
Option D is the correct answer
2.
An open box with a square base is to have a volume of 2000 cm^3.
What should the dimensions of the box be if the amount of material
is used to be minimum?
***Please use good handwriting!***
The dimensions of the box should be 20 cm x 20 cm x 5 cm to minimize the amount of material used.
To minimize the amount of material used, we need to minimize the surface area of the box while keeping the volume constant.
Let the side of the square base be x cm and the height of the box be h cm.
Then, the volume of the box is given by:
\(V = x^2 * h = 2000 cm^3\)
Solving for h, we get:
\(h = 2000 / x^2\)
The surface area of the box is given by:
\(S = x^2 + 4xh\)
Substituting for h, we get:
\(S = x^2 + 4x(2000 / x^2)\)
\(S = x^2 + 8000 / x\)
To minimize S, we take the derivative and set it equal to zero:
\(dS/dx = 2x - 8000/x^2 = 0\)
Solving for x, we get:
\(x = (8000/2)^(1/3)\)
x = 20 cm
Substituting back into the equation for h, we get:
\(h = 2000 / 20^2\)
h = 5 cm.
For similar question on dimensions.
https://brainly.com/question/28464
#SPJ11
What are the 3 linear functions?.
There are three major forms of linear equations:
point-slope form, standard form, and slope-intercept form.Point slope form:
The point-slope form, as its name suggests, identifies a point on a line and its slope. Not frequently is this form provided to assist with line graphing. To get from a verbal or visual representation of a line to its slope-intercept or standard form, however, is where it is more frequently utilized.
Slope intercept form:
A line's slope and y-intercept are communicated using the slope-intercept form. Technically speaking, it is an exception to the point-slope form.
Standard form:
An equation's conventional form is as follows:
Ax+By=C
Where A is not a negative number and B, C, and all three are whole numbers.
Hence we get the required answer.
Learn more about Linear equations here:
brainly.com/question/4074386
#SPJ4
fill in the blank either using: SAS, SSS, AAS, or ASA
AB = CD : GIVEN
AD = BC : GIVEN
AC = AC : REFLECTIVE PROPERTY
ABC =ADC : ??
ACCORDING TO SSS CONGRUENCE RULE,
ABC =~ ADC.
HELP ME WITH MY MATH
Answer:
91 hundreths, (1*1)+(9*1/10), .19
<3 love from maddie
Answer:
(1*1)+(9*1/10) then 91 hundreths and last 0.19
Hope it helps!
Solve for x: -2(x + 3) = -2(x + 1) - 4. (1 point)
a
2.
CA
3
ос
All real numbers
Od
No solution
Answer:
no solution
Step-by-step explanation:
\(-2 ( x + 3) = -2 (x + 1) -4 \\-2x + 3 = -2x -2 -4\\-2x + 3 = -2x - 6\)
add \(2x\) to both sides
\(-2x + 3 + 2x = -2x - 6 + 2x \\3 = -6\)
That's impossible
so the equation no solution
Answer:
All real numbers ( -∞ ,∞)
Step-by-step explanation:
Simplify \(-2(x+3)\)
Apply the distributive property.
\(-2x-6=-2(x+1)-4\)
Simplify
\(-2(x+1)-4\)
\(-2x-6=-2x -6\)
Move all terms containing x to the left side of the equation.
Add 2 x to both sides of the equation.
\(-2x-6+2x=0\)
Combine the opposite terms in
\(-2x-6+2x\)
add \(-2x\) and \(2x\)
\(0-6= -6\)
\(-6= -6\)
Since \(-6= -6\) , the equation will always be true for any value of x . All real numbers
The result can be shown in multiple forms.
All real numbers
Interval Notation:
( − ∞ , ∞ )
How would you describe the shape of the normal distribution?
The shape of the normal distribution is bell shape and it is also symmetrical from the left and right sides about the origins (mean).
What is a normal distribution?
A normal distribution is a function on some random variables, which represent the set of all those random variables in a symmetrical bell shape about the mean value.
It shows that the probability of occurrence of some data which is distributed over a function is more at or around the mean.
It is also known as probability distribution curve.
The normal distribution has two parameters:
MeanStandard deviationWhat is the shape of the normal distribution?
The normal distribution curve is at it's peak at the mean value. This shows that the probability of occurrence of the data or value is more concentrated or distributed about the mean. It is also symmetric about the mean. As we more further from the mean, we see that the normal distribution curve gradually decreases showing that the probability of occurrence of the data or the values decreases. The shape that this curve forms is like a bell-shaped. So the shape of normal distribution is bell shape.
Hence, the shape of the normal distribution is bell shape and it is also symmetrical from the left and right sides about the origins (mean).
Know more about "normal distribution" here: https://brainly.com/question/15103234
#SPJ4
help if you can asap pls!!!!!
The reason number 3 include the following: D. Definition of midpoint.
What is a midpoint?In Mathematics and Geometry, a midpoint is a point that lies exactly at the middle of two other end points that are located on a straight line segment.
In this context, we can prove that line segment AC is congruent to line segment BC by completing the two-column proof shown above with the following reasons from step 1 to step 3:
Statements Reasons
1. M is the midpoint of AB Given
2. AB ⊥CM Given
3. AM ≅ BM Definition of midpoint
Read more on midpoint here: brainly.com/question/17918978
#SPJ1
A butterfly is 12 inches long and 13 inches wide. Lashay makes a scale drawing
of the butterfly that is 1 inch long. What is the width of his drawing?
Answer:
1.08 inches
Step-by-step explanation:
13 / 12 , to keep aspect ratio the same
If 8/2x-3 = 4, what is the value of x?
Answer:
extract-7/4
decimal-1.75
mixed number-1 3/4
Step-by-step explanation:
can anyone explain this to me
Answer:
angle 1: 30
angle 2: 41
angle 3: 96
Step-by-step explanation:
So the angles' sum in one triangle is 180 degrees so you know two of the first triangle's angles so you sum them up and you get: 150 so now you subtract that from 180 and get 30.
Now you can see that if you want to get angle 2 you need to get angle 3 first. so you can see that the 84 degrees is on the same line as angle 3 so, we also know that a line is 180 degrees. so 180-84=96.
Now to get angle 2 we just simply sum up 43 and 96 which is 139, then we subtract that from 180, then we get 41.
If a bike can travel 14 miles per hour along a road, but only 7 miles per hour across an open field, where should he cut into the field to get to a house 2 miles from the road?
The biker should travel along the road for 0.67 miles and then cut into the field. This will minimize the distance traveled across the field and allow the biker to reach the house in the shortest possible time.
Let's assume that the biker wants to travel from the road to the house in a straight line. Since the biker can travel twice as fast along the road as across the field, it makes sense to minimize the distance traveled across the field.
Let's call the distance the biker travels along the road "d" and the distance the biker travels across the field "x". We know that the total distance the biker needs to travel is 2 miles. Therefore, we can write:
d + x = 2
We also know that the biker travels at a speed of 14 miles per hour along the road and 7 miles per hour across the field. Therefore, we can write:
d/14 = x/7
Simplifying this equation, we get:
2d = x
Now we can substitute this value of x in the first equation to get:
d + 2d = 2
Solving for d, we get:
d = 0.67 miles
Therefore, the biker should travel along the road for 0.67 miles and then cut into the field. This will minimize the distance traveled across the field and allow the biker to reach the house in the shortest possible time.
for such more question on time
https://brainly.com/question/20813161
#SPJ11
You are playing a version of the roulette game, where the pockets are from 0 to 12 and even numbers are red and odd numbers are black (0 is green). You spin 3 times and add up the values you see. What is the probability that you get a total of 17 given on the first spin you spin a 2
The probability of getting a total of 17 is then 6/2197, which simplifies to approximately 0.00273, or 0.273%.
To find the probability of getting a total of 17 when spinning the roulette wheel three times and getting a 2 on the first spin, we need to consider all possible outcomes.
Since we already know that the first spin is a 2, we have two more spins remaining. The remaining spins can result in numbers ranging from 0 to 12.
To get a total of 17, we need the sum of the three spins to be 17. We can calculate the probability by finding the favorable outcomes (combinations of numbers that sum up to 17) and dividing it by the total number of possible outcomes.
Possible combinations that sum up to 17 are:
2 + 7 + 8
2 + 8 + 7
7 + 2 + 8
7 + 8 + 2
8 + 2 + 7
8 + 7 + 2
So, there are six favorable outcomes.
The total number of possible outcomes is given by the product of the number of options for each spin, which is 13 options for each spin (0 to 12).
Therefore, the total number of possible outcomes is 13 * 13 * 13 = 2197.
= 6/2197
To know more about probability,
https://brainly.com/question/24364168
#SPJ11
An investor purchased a house 8 years ago for $48,000 This year it was appraised at $73,500 Complete parts (a) through (d) below. (a) A linear equation V=mt+b,0
Answer:
b = $48000, m = $3187.5 / year
Step-by-step explanation:
The equation of a linear function is given as y = mx + b, where m is the rate of change, b is the value of y when x = 0, y = dependent variable and x = dependent variable.
Given that V = mt + b:
b = initial price of the house at 0 years = $48000
V = mt + 48000, At 8 years the house is appraised at $73,500
73500 = 8m + 48000
8m = 73500 - 48000
8m = 25500
m = 3187.5
please help im crying and failin math i have a 41 f
Answer: d
Step-by-step explanation: trust me
Answer:
C) The depth the scuba diver is before he/she begins the ascent to the surface.
Step-by-step explanation:
This would be your answer because it is asking what the y-intercept of the graph represents. On the graph the y-intercept is labeled Depth(m), which represents the meters the diver assented to reach the surface from where they were originally at.