Step-by-step explanation:
2,300×3÷7=985.71 The amount of money saved
2300×1÷10=230the amount of entertainment
985.71+230=1215.71 total
1215.71÷2300=0.5285 Entertainment money + reserve money ÷ total money
The income that he plan to spend each month on these two items together is 0.5285.
What is a fraction?A fraction represents a part of a number or any number of equal parts.
Given; Travis's income is $2300 a month, and he plans to budget 3/7 of his income for savings and 1/10 of his income for entertainment.
We need to find the income that he plan to spend each month on these two items together.
The amount of money saved;
2,300×3÷7 = 985.71
The amount of entertainment;
2300×1÷10=230
The total 985.71 + 230 = 1215.71
Now, Entertainment money + reserve money ÷ total money
1215.71÷2300 = 0.5285
The income that he plan to spend each month on these two items together is 0.5285.
Learn more about fraction;
https://brainly.com/question/729654
#SPJ2
The given curve is rotated about the y-axis. Find the area of the resulting surface. y = 4 − x2, 0 ≤ x ≤ 3
Answer:
The area of the surface is 2.72 units
Step-by-step explanation:
The area of a curve y = (x) a ≤x ≤ b rotated about the y axis is given by:
[tex]s=\int\limits^a_b {2\pi x\sqrt{1+(\frac{dy}{dx} )^2} } \, dx[/tex]
y = 4 - x²
dy / dx = -2x
(dy/dx)² = (-2x)² = 4x²
Hence:
[tex]s=\int\limits^a_b {2\pi x\sqrt{1+(\frac{dy}{dx} )^2} } \, dx\\\\s=\int\limits^0_3 {2\pi x\sqrt{1+4x^2} } \, dx\\\\Let\ u = 1+4x^2\ \\\frac{du}{dx}=8x\\\frac{du}{8x}=dx\\\\Substituting\ value\ of\ u \ and\ dx:\\ \\s=\int\limits^0_3 {2\pi x\sqrt{u} } \, \frac{du}{8x} \\\\s=\frac{\pi }{4} \int\limits^0_3 {\sqrt{u} } \, du\\\\s=\frac{\pi }{4}|\frac{2}{3}u^{3/2}|_0^3\\\\s=\frac{\pi }{4}*\frac{2}{3}(5.196)\\\\s=2.72\ units[/tex]
The area of the surface is 2.72 units
The area of the resulting surface is [tex]37.3437\pi[/tex].
Curve:
A curve is an object that is similar to a line, but that does not have to be a straight line. A curve may be regarded as a trace left by a moving point.
Given:
[tex]y=4-x^{2}[/tex] , [tex]0 \leq x\leq 3[/tex]
Surface area[tex]=2\pi \int_{a}^{b}x\sqrt{1+\left ( \frac{dx}{dy} \right )^{2}dy}[/tex]
[tex]x=\sqrt{4-y} \ , \ \frac{dx}{dy}=-\frac{1}{2\sqrt{4-y}}[/tex]
when [tex]x=0 \ , \ y=4[/tex]
[tex]x=3 \ , \ y=-5[/tex]
Area of surface[tex]=2\pi \int_{-5}^{4}\sqrt{4-y}\sqrt{1+\frac{1}{4\left ( y-4 \right )}dy}[/tex]
[tex]=2\pi \int_{-5}^{4}\sqrt{4-y+\frac{4-y}{4\left ( y-4 \right )}dy} \\ =2\pi \int_{-5}^{4}\sqrt{4-y+\frac{1}{4}dy} \\ =\frac{2\pi }{2}\int_{-5}^{4}\sqrt{17-y} \ dy \\ =\pi \int_{-5}^{4}\sqrt{17-y} \ dy[/tex]
Solving with calculator:
[tex]\Rightarrow \pi\left [ \frac{1}{6}\left ( 37\sqrt{37}-1 \right ) \right ][/tex]
[tex]=37.3437\pi[/tex]
Learn more about the topic Curve: https://brainly.com/question/8771120
Donald has 456 marbles. Joe has 987 marbles. How many more marbles does Joe have?
Answer:
531
Start off by subtracting.
Joe = 987 marbles
Donald = 456 marbles.
987 - 456 = 531.
So that is your answer. Hope it helps!
Answer:
agree with previos answer
Step-by-step explanation:
Sketch the curve represented by the parametric equations (indicate the orientation of the curve), and write the corresponding rectangular equation by eliminating the parameter.
x = 5t − 2, y = 2t + 1.
Please find attached
Answer:
equation : 2x+9-5y=0
Step-by-step explanation:
x and y cut axes at -4.5 and 1.4 respectively
given
when x=0
9-5y=0
y=1.4
When y=0
2x+9=0
x=-4.5
A jug has a maximum capacity of 4 liters. It's filled to 85% of its capacity, and then poured out at a rate of 25 ml/s. Which of the following
expressions models the volume remaining in the jug, in liters, after x seconds?
Answer: W(x) = 3.4 L - (25/1000)(L/s)*x
Step-by-step explanation:
The maximum of the jug is 4 L.
now, the jug is 85% filled, then the amount of water in the jug is:
(85%/100%)*4L = 0.85*4L = 3.4L
Now, we pour 25 mL each second, so we could write a linear equation as:
W(x) = 3.4L - (25ml/s)*x
where x is the number of seconds that passed since the beginning,
But we want to write this in Liters, we have that:
1L = 1000mL.
Then 1mL = (1/1000) L
then we can write 25 mL as:
25m L = 25*(1/1000) L = (25/1000) L.
Then we can write the equation as
W(x) = 3.4 L - (25/1000)(L/s)*x
which is the amount of water remaining in the jug after x seconds.
How is a coefficient different than a constant... please give me an example as well thank you.. I’m giving max points
Answer:
A coefficient is a number that is in front of a variable. A number that is multiplied by a variable in a variable expression; in an expression such as 3ab, the numerical coefficient of ab is 3. The word constant means unchanging. Since a number’s value never changes, a number with no variable factors is a constant. A constant is a numerical term in an expression. a term that has no variables
Example: 5a+4 The coefficient is 5 and the constant is 4 because it does not have a variable in front of it.
Hope this helps
can someone explain the quadratic formula to me.
Answer:
[See Below]
Step-by-step explanation:
Here are some pictures to help you.
The quadratic formula is shown below.
The beauty of the quadratic formula is that as long as your quadraticis in the form ax² + bx + c = 0, where a, b, and c are integers, you can go straight to the answer by simply plugging your values for a, b, and c into the quadratic formula.
It's a good idea to memorize it.
Believe me it's worth it, you'll be using it all the time.
Graph the parabola y=x^2+3 by plotting any three points on the parabola. Move the key points on the graph to create the parabola.
Answer:
Use a graphing calc.
Step-by-step explanation:
If graphing by hand, use the vertex as one of the main points and then find other points by plugging in x-values.
Answer:
See be'ow
Step-by-step explanation:
We can use a graphing calculator to plot the points of the parabola.
See the attached file!
the ratio of peanuts to raisins in a snack mix is 5:4. A bag of the snack mix contains 200 peanuts. How many raisins are in the bag?
Number of raisins in the bag is 160 raisins
Given that;
Ratio of peanuts to raisins = 5:4
Bag of the snack mix contains = 200 peanuts
Find:
Number of raisins in the bag
Computation:
Number of raisins in the bag = 4[200/5]
Number of raisins in the bag = 4[40]
Number of raisins in the bag = 160 raisins
Learn more:
https://brainly.com/question/1383782?referrer=searchResults
Jan spent $99.99 for a comforter set, $12.99 for pillows, and $36.98 for towels. How much total did she
spend?
O $136.97
O $50.06
O $149.96
O $112.94
O $155.96
Answer:
$149.96
Step-by-step explanation:
99.99+12.99+36.98=149.96
Total=$149.96
You want to buy a car. The loan amount will be $18,000. The company is offering a 5% interest rate for 48 months (4 years). What will your monthly payments be?
Answer:
393.5$
Step-by-step explanation:
$18,000 -- car price
Total sum (105%) = [tex]\frac{18000}{100}[/tex]* 105%
Hence
[tex]\frac{18000/100*105}{48}[/tex] = 393.5$
HELP WOULD BE GREATLY APPRECIATED GURANTED BRAINLIEST
Answer: Choice A) 9
=================================================
Explanation:
We have some variable r that we divide over 3, and then we add on 5. Note the order of operations PEMDAS says to divide first and then add (since D comes before A in PEMDAS).
When we isolate r, we follow PEMDAS in reverse and undo everything. We undo addition by subtracting 5 from both sides
[tex]\frac{r}{3} + 5 \le 8\\\\\frac{r}{3} + 5-5 \le 8-5\\\\\frac{r}{3} \le 3\\\\[/tex]
Then we undo the division happening to r. So we multiply both sides by 3
[tex]\frac{r}{3} \le 3\\\\3*\frac{r}{3} \le 3*3\\\\r \le 9\\\\[/tex]
Since r is less than or equal to 9, this means that r could be 9 or smaller
Only choice A applies.
Solve:
A rectangular garden has length of 24m and width of 17.2m. Use the correct number of
significant digits to write the perimeter of the garden.
meters
Answer:
82.4
Step-by-step explanation:
if you record a lower temperature than the actual value, how would that affect the calculated value of R
Answer:
the calculated value of R would be incorrect and it would be greater than the actual value
Step-by-step explanation:
From the general gas equation,
We have a mole of gas as
PV =nRT
We will have to make R the subject of the formula
So we divide through by nT
R = PV/nT
So we have an inverse proportion between R and absolute temperature.
So when we record a lower temperature than what the actual temperature should be, R is going to be affected such that the wrongly calculated value of R would be more than the actual value.
40 points! Find the distance UV between the points U(2,−2) and V(−5,−3). Round your answer to the nearest tenth, if necessary.
Answer:
7.1
Step-by-step explanation:
Using the distance formula
d = sqrt ( (x2-x1)^2 + ( y2-y1)^2)
sqrt ( (-5-2)^2 + ( -3- -2)^2)
sqrt( ( -7)^2 + ( -3 +2)^2)
sqrt( ( 49 + 1)
sqrt( 50)
7.071067812
To the nearest tenth
7.1
Answer:
7.1 units
Step-by-step explanation:
We can use the distance formula to find the distance between these two points.
The distance formula is:
[tex]\sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }[/tex].
x1 is 2, x2 is -5, y1 is -2, and y2 is -3, so we can plug these values into the equation.
[tex]\sqrt {\left( {2 - (-5) } \right)^2 + \left( {-2 - (-3) } \right)^2 }\\\\\sqrt {7^2 + 1^2}\\\\\sqrt{49+1}\\\\\sqrt{50}\approx7.1[/tex]
Hope this helped!
The West Edmonton Mall in Canada is the largest mall in the world. 20,000,000 people visit the mall each year. If the mall is opened every day, what is the average number of people per day at the mall? (1 yr. – 365 days)
Answer:
54,795
Step-by-step explanation:
Hank invested a total of $20,000, part at 7% and part at 10%. How much did he invest at each rate if the total interest earned in one year was $1640?
Answer:
We have a total investment of $20,000 in two different amounts A and B.
Then:
A + B = $20,000.
And we know that the interest of the amount A is 7%, and the interest of the amount B is 10%. (i will assume that both interests are yearly interest)
And after one year, Hank earns $1,640 thanks to those interests, then we have that:
(7%/100%)*A + (10%/100%)*B = $1,640
And we can write this as:
0.07*A + 0.1*B = $1,640
Then we have a system of equations:
A + B = $20,000
0.07*A + 0.1*B = $1,640
To solve this, the first step is isolating one of the variables in one of the equations.
Let's isolate A in the first equation:
A + B = $20,000
A = $20,000 - B.
Now we can replace this in the other equation:
0.07*A + 0.1*B = $1,640
0.07*($20,000 - B) + 0.1*B = $1,640
$1,400 - 0.07*B + 0.1*B = $1,640
0.03*B = $1,640 - $1,400 = $240
B = $240/0.03 = $12,000
Then we have:
A = $20,000 - $12,000 = $8,000
Hank invests $12,000 in the 10% account and $8,000 in the 7% one.
Prove the following using a direct proof. Your proof should be expressed in com-plete English sentences.
If a, b, and c are integers such that b is a multiple of a3 and c is a multiple of b2, then c is a multiple of a6.
Answer:
Proved
Step-by-step explanation:
Given
Integers: a, b, c
Required
Show that c is a multiple of a⁶
First, we need to list out the multiples of a³
[tex]a^3 -> a^3, a^6, a^9, a^{12}...[/tex]
Since b is a multiple of a³, then b can be any of the listed multiples
Next, is to list out the multiples of b²
[tex]b^2 -> b^2,b^4,b^6,b^8,b^{10}....[/tex]
Since c is a multiple of b², then c can be any of the listed multiples
To list out the multiples of a⁶, we have to get the common multiples of a³ and b² in terms of a
Substitute a³ for b in
[tex]b^2 -> b^2,b^4,b^6,b^8,b^{10}....[/tex]
[tex](a^3)^2 -> (a^3)^2,(a^3)^4,(a^3)^6,(a^3)^8,(a^3)^{10}....[/tex]
[tex]a^6 -> a^6,a^{12},a^{18},a^{24},a^{30}....[/tex]
Recall that c is a multiple of b²
From the above listed multiples, we have a⁶ listed as one of the multiple; Hence, c is a multiple of a⁶
Yes C should be multiple of [tex]a^6[/tex]
Calculation of the multiple:Since it is mentioned that b should be the multiple of [tex]a^3[/tex]
So,
[tex]b = a^3R[/tex] here some integer should be R
And, the c should be multiple of [tex]b^2[/tex]
So,
[tex]C = b^2 r[/tex] for some integer r
Now we have to substitute the value of b from the first equation
i.e.
[tex]C = (a^3R)^2r = a^6 (R^2r)[/tex]
Here [tex]R^2r[/tex] is some integer
so,
[tex]C = a^6R'[/tex]
Therefore, we can say that Yes C should be multiple of [tex]a^6[/tex]
Learn more about multiple here: https://brainly.com/question/24146205
19 - 5 (2m - 3) + 9m = 36
Answer:
m = -2
Step-by-step explanation:
For this problem, we will simply solve the equation for m.
19 - 5 ( 2m - 3 ) + 9m = 36
19 - 10m + 15 + 9m = 36
34 - m = 36
-m = 2
m = -2
Hence, for this equation to be true, m must equal negative 2.
Cheers.
Mrs. Phillips ordered 56 sub sandwiches for a team meal, and 2/7 of them were ham. how many of the sandwiches were ham?
Answer:
16
Step-by-step explanation:
Take the total number of sandwiches and multiply the fraction that were ham
56 * 2/7
56/7 *2
8 *2
16
16 sandwiches were ham
According to Newton's Second Law of Motion, the sum of the forces that act on an object with a mass mmm that moves in an acceleration aaa is equal to m\cdot am⋅am, dot, a. An object whose mass in 808080 grams has an acceleration of 202020 meters per seconds square. What calculation will give us the sum of the forces that act on the object, in Newtons (which are \dfrac{\text{kg}\cdot\text{m}}{\text{s}^2} s 2 kg⋅m start fraction, start text, k, g, end text, dot, start text, m, end text, divided by, start text, s, end text, squared, end fraction)?
What calculation will give us the sum of the forces that act on the object, in Newtons (which are \dfrac{\text{kg}\cdot\text{m}}{\text{s}^2}
[tex]kg . m \ S^{2}[/tex]
Answer:
If you are on Khan Academy doing this, then the answer is 80/100 X 20
Step-by-step explanation:
If the mass of object is 808080 grams and acceleration is 202020 meter per seconds square then the force will be 1632483216 kg [tex]m^{2}[/tex].
What is force?A force is an effect that can change the motion of an object. A force can change the position of an object.
Force=mass*acceleration
How to calculate force?We have been given mass of the object=808080 grams and acceleration =202020 meters per second.
We have to calculate force in kg per meters square so firstly we have to change mass which is in grams into kilogram=808080/1000=808.080 kg
Force =808.080*202020
=163248321
Force=163248321 kg [tex]m^{2}[/tex]
Hence is mass is 808080 grams and acceleration is 202020 meters per second then force will be 163248321 kg meters square.
Learn more about force at https://brainly.com/question/12970081
#SPJ2
The height of a house is 52 ft. A tree beside the house is 7 ft more than twice as tall. What is the height of the tree?
Answer:
111 ft
Step-by-step explanation:
52 x 2 then just add 7
how do you a shade a venn diagram of B-A
Don't shade the part A and the part between A and B. Shade the B part only.
PLEASE ANSWER QUICK!Kierran is trying to find the circumference of a circle. He knows that the radius (r) of the circle is 6 feet and that the diameter, d=2r. Which formula should he use?
A) A=3.14(2r)^2
B) C=3.14(2r)
C) A=3.14d^3
D) C=3.14(2D)
Answer:
B) C=3.14(2r)
Step-by-step explanation:
Circumference of a circle= 2πr
radius=6 feet
Diameter= 2r
=2*6
=12 feet
π= 3.14
C= 2πr
= 2 * 3.14 * r
= 3.14 * 2 * r
C= 3.14 (2r)
Kierran should use the formula C= 3.14 (2r) to find the circumstance of the circle
Option B is the correct answer
C= 3.14 (2r)
= 3.14 * 2 * 6
= 37.68 eet
Any system of government based on rule by the people is called
Answer:
a democracy
I hope this helps!
dwight can drive 60 miles for each gallon of gas on his motorcycle how far can dwight go if he has 3 gallons of gas
Answer:
180
Step-by-step explanation: 60+60 =120 120+6
: What is the volume of this triangular right prism?
6.5 ft
6 ft-
11 ft
5 ft
Answer:
[tex] Volume_{Prism} = 165 ft^3 [/tex]
Step-by-step explanation:
Volume of triangular prism is given as base area * height of prism
Base area = area of triangle = ½*base of the traingle*height of the traingle
Base area = 5 ft * 6 ft = 30 ft²
Height of prism = 11 ft
Volume of the prism = [tex] \frac{1}{2}*30*11 [/tex]
[tex] Volume_{Prism} = 15*11 [/tex]
[tex] Volume_{Prism} = 165 ft^3 [/tex]
-5(x-2) - 2x + 6 help me answer this!
Answer:
x=2.2 this is nice question
Determine the value of c so that f(x) is continuous on the entire real line when
f(x) = {x + 3 x less than or equal to -1 2x - c x > -1.
a. -4.
b. 4.
c. 0.
d. -1.
e. none of these.
Answer:
A. -4
Step-by-step explanation:
Given the function f(x) = x + 3 for x ≤ -1 and 2x - c for x > -1, for the function to be continuous, the right hand limit of the function must be equal to its left hand limit.
For the left hand limit;
The function at the left hand occurs at x<-1
f-(x) = x+3
f-(-1) = -1+3
f-(-1) = 2
For the right hand limit, the function occurs at x>-1
f+(x) = 2x-c
f+(-1) = 2(-1)-c
f+(-1) = -2-c
For the function f(x) to be continuous on the entire real line at x = -1, then
f-(-1) = f+(-1)
On equating both sides:
2 = -2-c
Add 2 to both sides
2+2 = -2-c+2
4 =-c
Multiply both sides by minus.
-(-c) = -4
c = -4
Hence the value of c so that f(x) is continuous on the entire real line is -4
The value of 'c' is -4 and this can be determined by using the concept of continuous function and arithmetic operations.
Given :
f(x) is continuous on the entire real line when c f(x) = x + 3 for [tex]x \leq -1[/tex], 2x - c for x > -1.
Remember for a continuous function, the left-hand limit is equal to the right-hand limit. So, determine the left-hand and right-hand limit.
The left-hand limit is calculated as:
f(-1) = (-1) + 3
f(-1) = 2 --- (1)
The right-hand limit is calculated as:
f(-1) = 2(-1) - c
f(-1) = -2 - c --- (2)
Now, equate both the expression (1) and (2).
2 = -2 - c
c = -4
For more information, refer to the link given below:
https://brainly.com/question/1111011
The scores of players on a golf team are shown on the table Celia-3 Janine 3 Sami 1 Ted 4 Travis 0 The team combined score was 0. What was Travis score?
His score would have to be -5:
-3 + 3 = 0
0 + 1 = 1
1 + 4 = 5
5 + (-5) = 0
So you know that the su of all the scores is 0.
The scores in the table are cecilia -3, janine 3, sami 1 and ted 4 and travis x, where x is the number that we want to know.
if we sum those, we have : 3 - 3 + 4 + 1 + x = 0
and we get 5 + x = 0
then x= -5, so travis's score is -5 points.
Is 10 greater than 10.01 or less than
Step-by-step explanation:
10 is less than 10.01
10.01-10=0.01
10 is 0.01 less than 10.01
So, 10 is less than 10.01.
Hope it helps you!!