Answer:
Total amount of fat = 92 grams
Step-by-step explanation:
Given:
Item Amount of fat (in gram)
Hamburger 24
Chicken sandwich 13
Fries 30
Onion rings 25
Find:
Total amount of fat
Computation:
Total amount of fat = [Hamburger + Chicken sandwich + Fries + Onion rings]
Total amount of fat = [24 + 13 + 30 + 25] grams
Total amount of fat = 92 grams
Multiply. 1/4 x 2/5 Express your answer in simplest form. 1/3 1/10 2/9 3/20
Answer: 1/10
Step-by-step explanation:
1/10 which means that 2/9 Was the wrong answer
6+3.245
Find the sum
Answer:
9.245
Step-by-step explanation:
6 + 3.245 = 9.245
Answer: 9.245
have a nice day:) ;)
-5(5 – 2x) = -95
show work and all steps please
Answer:
x = -7
Step-by-step explanation:
See the photo attached.
How much is X? NEED HELP RIGHT NOW 20 POINTS!!!
I don’t get thiss so can someone help me
Step-by-step explanation:
use algabraic expreshens it will help trust me
3. [W] Consider the following data from NASA about the density of the sun. • When you are 10% of the way out from the center of the sun (use x = 0.1), the density is approximately 82.9619 g/cm3 . • When you are 20% of the way out of the sun, the density is approximately 38.7504 g/cm3 . • When you are 70% of the way out of the sun, the density is approximately 1.7819 g/cm3 . • When you are 80% of the way out of the sun, the density is approximately 1.9824 g/cm3 . • When you are 90% of the way out of the sun, the density is approximately 0.7859 g/cm3 . We want to use this data to find a quartic (4th degree) interpolating polynomial for the density of the sun throughout. y = Ax4 + Bx3 + Cx2 + Dx + E (a) Set up this problem as a system of linear equations. (b) Find the quartic polynomial that goes through these data points. (c) Use this polynomial to approximate the density 50% of the way out of the sun.
Answer:
a)
A(0.1)^4 + B(0.1)^3 + C(0.1)^2 + D(0.1) + E = 82.9619 ----------1
A(0.2)^4 + B(0.2)^3 + C(0.2)^2 + D(0.2) + E = 38.7504 -------2
A(0.7)^4 + B(0.7)^3 + C(0.7)^2 + D(0.7) + E = 1.7819 ----------3
A(0.8)^4 + B(0.8)^3 + C(0.8)^2 + D(0.8) + E = 1.9824 ----------4
A(0.9)^4 + B(0.9)^3 + C(0.9)^2 + D(0.9) + E = 0.7859 ----------5
b) y = 519x^4 - 1630x^3 + 1844x^2 - 889x + 155
c) 0.1875
Step-by-step explanation:
a)
Let y = Ax^4 + Bx^3 + Cx^2 + Dx + E
Setting up the problem as a system of linear equations
when x=(10%)=0.1, y = 82.9619
therefore
A(0.1)^4 + B(0.1)^3 + C(0.1)^2 + D(0.1) + E = 82.9619 ----------1
when x=(20%)=0.2, y = 38.7504
A(0.2)^4 + B(0.2)^3 + C(0.2)^2 + D(0.2) + E = 38.7504 -------2
when x=(70%)=0.7, y = 1.7819
A(0.7)^4 + B(0.7)^3 + C(0.7)^2 + D(0.7) + E = 1.7819 ----------3
when x=(80%)=0.8, y = 1.9824
A(0.8)^4 + B(0.8)^3 + C(0.8)^2 + D(0.8) + E = 1.9824 ----------4
when x=(90%)=0.9, y = 0.7859
A(0.9)^4 + B(0.9)^3 + C(0.9)^2 + D(0.9) + E = 0.7859 ----------5
b)
Find the quartic polynomial that goes through these data points
Now to find the values ( A,B,C,D,E)
[MATRIX]
║A║ ║ (0.1)^4 (0.1)^3 (0.1)^2 (0.1) 1 ║^-1 ║ 82.9619 ║
║B║ ║ (0.2)^4 (0.2)^3 (0.2)^2 (0.2) 1 ║ ║ 38.7504 ║
║C║ = ║ (0.7)^4 (0.7)^3 (0.7)^2 (0.7) 1 ║ ║ 1.7819 ║
║D║ ║ (0.8)^4 (0.8)^3 (0.8)^2 (0.8) 1 ║ ║ 1.9824 ║
║E║ ║ (0.9)^4 (0.9)^3 (0.9)^2 (0.9) 1 ║ ║ 0.7859 ║
║A║ ║ 29.7619 -47.619 166.667 -238.095 89.2857 ║ ║ 82.9619║
║B║ ║ -77.381 119.048 -333.333 452.381 -160.714 ║ ║ 38.7504║
║C║ = ║ 71.131 -102.381 208.333 -269.048 91.9643 ║ ║ 1.7819 ║
║D║ ║ -26.369 33.0952 -41.6667 52.619 -17.6786 ║ ║ 1.9824 ║
║E║ ║ 3.00 -2.4 -2.4 -3.00 -1.00 ║ ║ 0.7859 ║
║A║ ║ 519 ║
║B║ ║ -1630║
║C║ = ║ 1844 ║ , y = 519x^4 - 1630x^3 + 1844x^2 - 889x + 155
║D║ ║ -889 ║
║E║ ║ 155 ║
c)
approximate the density 50% of the way out of the sun
so at 50% (0.5) x=0.5
we substitute
y = 519(0.5)^4 - 1630(0.5)^3 + 1844(0.5)^2 - 889(0.5) + 155
= 0.1875
x is a normally distributed variable with mean μ = 17 and standard deviation σ = 3 find:
a) P(x >21)
b) P(x < 15)
c) P(16 < x < 25)
Answer:
a)0.09176
b)0.22065
c)0.62551
Step-by-step explanation:
a) p(x>21) = p(z> (21-17)/3)=p(z>1.333) = 1-.90824= 0.09176 (subtracting from one because we are looking at the right side of the graph from the Z-table)
b)p(x<15) = p(z< (15-17)/3)=p(z<-.6667) = 0.22065
c)p(16 < x < 25)= (z(16-17)/3 < p < z(25-17)/3)= z(-.333) < p < z(2.667)=.99621 -.37070 = 0.62551
The table shows the number of pounds a dog lost or gained over the past month. A 2-column table with 4 rows. Column 1 is labeled Week with entries 1, 2, 3, 4. Column 2 is labeled pounds with entries 2 and one-half, negative 1, 1, negative 3 and one-half In which week did the dog have the greatest weight change? Week 1 Week 2 Week 3 Week 4
Answer:
column 2
Step-by-step explanation:
Answer:
week 4 so D
Step-by-step explanation:
Solve the inequality. 6x + 14 > 20
???????
Answer:
x > 1
Step-by-step explanation:
6x + 14 > 20
-14 -14
6x > 6
/6 /6
x>1
The sum of the measures of the angles of a triangle is 180. The sum of the measure of the second and third angle is five times the measure of the first angle. The third angle is 16 more than the second. Let x, y, and ,z represent the measures of the first second and third angles
Answer:
x = 30 degrees
y = 67 degrees
z = 83 degrees
Step-by-step explanation:
Since x, y , and z are the angle measure for the first, second and third angle respectively, we can write the following equations following the statements given:
The sum of the measures of the angles of a triangle is 180:
(1) x + y + z = 180
The sum of the measure of the second and third angle is five times the measure of the first angle:
(2) y + z = 5 x
The third angle is 16 more than the second:
(3) z = y + 16
Now we solve the system of three equations. We use the third equation to replace z in the second one:
y + (y + 16) = 5 x
then : 2 y = 5 x - 16; then y = 2.5 x - 8
So , now we can replace this expression for y in the third equation:
z = (2.5 x - 8) +16 = 2.5 x + 8
and finally we made the replacements of y and z shown above in bold, in the first equation:
x + (2.5 x - 8) + (2.5 x + 8) = 180
x + 5 x = 180
6 x = 180
then x = 180/6 = 30 degrees
From this, we get the value of the other angles:
y = 2.5 (30) - 8 = 67 degrees
z = 2.5 (30) +8 = 83 degrees
The mean and standard deviation of a normal distribution are 150 and 12
respectively. What percentage of values lie between:
a) 138 and 162
b) 126 and 174
c) 126 and 162
d) 162 and 174
a) (150 - 138) / 12 = 1 deviation or 34%
(162 - 150) / 12 = 1 deviation or 34%
34% + 34% = 68%
b) (150 - 126) / 12 = 2 deviations or 47.5%
(174 - 150) / 12 = 2 deviations or 47.5%
47.5% + 47.5% =95%
c) (150 - 126) / 12 = 2 deviations or 47.5%
(162 - 150) / 12 = 1 deviation or 34%
47.5% + 34% = 81.5%
d) (162 - 150) / 12 = 1 deviation or 34%
(174 - 150) / 12 = 2 deviations or 47.5%
This problem is a little different. We have to subtract 34% from 47.5%
47.5% - 34% = 13.5%
6.204 = 6 + 0.2+ ? What is it?
Answer:
0.004
Step-by-step explanation:
6.204 = 6 + 0.2 + 0.044.
The answer is 0.004.
31-X + (2 x + 1)] = x - 1.
X =
Answer:
answer is X= 2/1 ×5+2 ok
Zach bought 200 shares of Goshen stock 20 years ago for $21.35 per share. He sold all 200
shares today for $43 per share.
a. What was the total purchase price for the 200 shares?
b. What was the total selling price for the 200 shares?
C. What was the capital gain for the 200 shares?
Answer:
4,330
Step-by-step explanation:
Multiply 21.35 times 200 and you get 4,270, then multiply 200 times 43 and you will get 8,600. then subtract and you will get 4,330
The answers are :
a) The total purchase price for the 200 shares was $4270.
b) The total selling price for the 200 shares was $8600.
c) The capital gain for the 200 shares was $4330.
What is the unitary method ?
The unitary method is a method in which you find the value of one unit and then the value of a required no. of units.
It is given that 20 years ago Zach bought 200 shares.
Price of 1 share = $21.35
a)
The total purchase price for the 200 shares was :
= 200 × $21.35
= $4270
b)
It is given that Zach sold 200 shares today.
Price of 1 share = $43
The total selling price for the 200 shares was :
= 200 × $43
= $8600
c)
The capital gain for the 200 shares was :
= $8600 - $4270
= $4330
Therefore , the answers are :
a) The total purchase price for the 200 shares was $4270.
b) The total selling price for the 200 shares was $8600.
c) The capital gain for the 200 shares was $4330.
Learn more about unitary methods here :
https://brainly.com/question/8083231
#SPJ1
In the 2019 NBA Eastern Conference semi‐finals, Philadelphia 76ers (PHI) played the (eventual 2019 NBA Champion) Toronto Raptors (TOR) in a best‐of‐7 series where the first team to win 4 games wins the series. Assume that the outcome of each game is independent. (a) Assuming that either team has a win probability of 0.5, what is the probability that after the first 4 games, the teams would be tied 2‐2? Clearly show all your steps.
Answer: 0.375
Step-by-step explanation:
Given the following :
Both teams have an equal probability of winning = 0.5
Find the probability that both teams are tied after 4 games, that is 2-2 ( this means each team has exactly 2 successes and 2 losses).
This problem can be modeled using a binomial probability :
P(x) = nCx * p^x * (1-p)^(n-x)
x = number of successes = 2
P = probability of success = 0.5
(1-p) = probability of failure = 0.5
n = number of trials = 4
P(x = 2 ) = 4C2 * 0.5² * 0.5^(4-2)
P(x = 2) = 6 * 0.5² * 0.5²
P(x = 2) = 6 * 0.25 * 0.25
P(x = 2) = 0.375
Find the area of the surface. The part of the surface z = xy that lies within the cylinder x^2 + y^2 = 9
Answer:
The area of surface is [tex]\dfrac{2}{3}(10^{\frac{3}{2}}-1)\pi[/tex]
Step-by-step explanation:
Given that,
The equation of cylinder is
[tex]x^2+y^2=9[/tex]
The part of the surface z = xy
The coordinates is,
[tex]z_{x}=y[/tex]
[tex]z_{y}=x[/tex]
We need to calculate the value of ds
Using formula of ds
[tex]ds=\sqrt{1+z_{x}^2+z_{y}^2}dA[/tex]
Put the value in to the formula
[tex]ds=\sqrt{1+y^2+x^2}dA[/tex]....(I)
We know that.
The polar coordinates,
[tex]x=r\cos\theta[/tex]
[tex]y=r\sin\theta[/tex]
The general equation of cylinder is
[tex]x^2+y^2=r^2[/tex]
compare from given equation
[tex]x^2+y^2=3^2[/tex]
0<=θ<=2π, 0<=r<=3
Area element in polar coordinates is,
[tex]dA=r dr d\theta[/tex]
Put the value of dA in equation (I)
[tex]ds=\sqrt{1+r^2}r dr d\theta[/tex]....(II)
We need to calculate the area of surface
Using equation (II)
[tex]s=\int_{0}^{2\pi}\int_{0}^{3}\sqrt{1+r^2}r dr d\theta[/tex]
[tex]s=\int_{0}^{2\pi}\dfrac{1}{3}((1+r^2)^{\frac{3}{2}})_{0}^{3}d\theta[/tex]
[tex]s=\int_{0}^{2\pi}\dfrac{1}{3}((1+3^2)^{\frac{3}{2}}-(1+0^2)^{\frac{3}{2}})d\theta[/tex]
[tex]s=(\dfrac{1}{3}((10)^{\frac{3}{2}}-1)\theta)_{0}^{2\pi}[/tex]
[tex]s=\dfrac{1}{3}(10^{\frac{3}{2}}-1)(2\pi-0)[/tex]
[tex]s=\dfrac{2}{3}(10^{\frac{3}{2}}-1)\pi[/tex]
Hence, The area of surface is [tex]\dfrac{2}{3}(10^{\frac{3}{2}}-1)\pi[/tex]
line g has a slope of 9/5. line h is perpendicular to g. what is the slop of line h?
Answer:
-5/9
Step-by-step explanation:
Note. If the line is parallel, then the slope is shared. If the line is perpendicular (directly opposite), it means to flip the sign as well as the fraction.
The slope of line g is 9/5. This means that the slope of line h, (which is perpendicular to line g), would be the opposite, or -5/9
-5/9 is your answer.
~
-2x+3-(5-6x) simplify please
Answer:
4x-2
Step-by-step explanation:
First, distribute the minus sign.
-2x+3-(5-6x)
-2x+3+ -1(5)+ -1(-6x)
-2x+3+ (-5) + (6x)
-2x+3-5+6x
Next, combine like terms.
-2x+3-5+6x
(-2x+6x)+(3-5)
4x+(-2)
4x-2
Answer:
4x - 2
Step-by-step explanation:
-2x + 3 - -5 + 6x ( First distribute the parenthess and apply minus-plus rules making it -2x+3-5+6x )
-2x + 6x + 3 - 5 ( Group the equation like this putting like terms together)
4x + 3-5 ( From there add -2x and 6x- like terms to get 4x)
4x -2( After that subtract 3-5 ad the answer is -2)
THE FINAL ANSWER BECOMES 4x - 2
HOPE IT HELPED
What is answer 2x+8= -4
Answer:
x=-6
Step-by-step explanation:
2x=-4-8
2x=-12
2x/2=-12/2
x=-6
Answer:
x = - 6
Step-by-step explanation:
2x+8 = 4
Subtract 8 from both sides:
2x+8-8 = - 4 - 8
Simplify :
2x = -12
Divide both sides by 2 :
2x/2 = -12/2
Simplify :
-12/2 : -6
x = -6
Hope it Helps :) !!
Solve the system using elimination.
7x + 10y = 27
X-10y = -19
The solution is
(Simplify your answer. Type an ordered pair.)
The solution is (1,2)
Step-by-step explanation:
7x + 10y = 27
x - 10y = -19 +--------------------
8x = 8
Divide by 8 on both sides
x = 1
To find y substitute any of the equations to 1
7(1) + 10y = 27
7 + 10y = 27
Substract 7 from both sides
10y = 20
Divide by 10
y = 2
Subtract.
-4 - 2
Plz help:((
Answer:
The answer is -4-2 = -6
Answer:
-6 is the answer hope that helps
Can you solve (x-2)(x+3)=5 by solving x-2=5 and x+3=5? Explain
Will MARK BRAINLIEST
Answer:
Yes you can.
Step-by-step explanation:
You can because you can just subsitute x-2=5 and x+3=5 into the equation.
Answer:
x=3±/5
Step-by-step explanation:
i don't actually know how to do certain symbols sorry but i hope you know what this means
3. Casey wants to do some baking. She has 6 cups of flour. One of the recipes she wants
to make calls for 3 cups of flour. Another recipe calls for cup of flour. The final recipe
calls for 2 cups of flour.
Will Casey have enough flour to make all three recipes? If so, wills she have any left
over? How much?
Step-by-step explanation:
assuming cup of flower means 1 cup of flower
3+2+1=6
She has enough to make the three recipes and she has nothing left over
Aretailer is having a promotional sale for 35% off all items. There is a 7% sales tax added to the price. Which
represents the situation, where x is the original cost of the item(s)?
Answer:
.65x(1.07) = 0.6955x
Step-by-step explanation:
Match each situation to the simulation that represents it.
Answer: rolling aa six sided die- fiona is deciding which forest
selecting a playing card- Athena has to select 1 student
spinning a spinner - Jenny isa picking a marble
Step-by-step explanation:
Answer:
Fiona- Rolling A Six-Sided Die.
Althea- Selecting A Playing Card From
The Hearts Suit.
Jenny-Spinning A Spinner Divided Into
Five Equal Sections
Which statement is NOT true? Select all that apply 4.913 is less than 4.931 8.001 is greater than 8.002 5.63 is equal to 5.630 7.831 is less than 7.809 10 5 is equal to 100,000
simplify: 6 + √27 / 3
Answer:
6 + √27 / 3
6+ (3√3/3)
6+√3
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
So, the first step if simplifying the square root. Since 27/3 is equal to 9, you now have to take the square root of 9.
6+[tex]\sqrt{27/3}[/tex]=?
Since 27/3 is equal to 9, you now have to take the square root of 9.
6+[tex]\sqrt{9}[/tex]=?
The square root of 9 is 3.
So, you end up with this:
6+3=12
Consigna:
Resuelve el siguiente problema:
Para comprar un juego de mesa para divertirnos en familia durante la pandemia. yo aporté un quinto (6)
del total del precio, mi hermana María aportó la sexta parte (') y mi papá aporto el resto que faltaba.
¿Qué parte del costo del del juego aportó mi papá? Si pagamos el total de $90, ¿Cuánto dinero puso
cada uno?
DATOS
GRÁFICOS O DIBUJOS OPERACIONES
RESULTADOS
Answer:
El padre pago el 63% del valor del juego, es decir, $57.
Step-by-step explanation:
Si el valor total del juego es de $90, y el redactor aportó una quinta parte del total del precio, el total aportado por él es de $18 (90 / 5 = 18). A su vez, su hermana María aportó una sexta parte del valor, es decir $15 (90 / 6 = 15). Por ende, el padre de los niños aportó $57 (90 - 18 - 15 = 57), es decir, el 63% del valor total.
A farmer owns 28 acres of land . Of the 28 acres only 65% can be formed .how many acres Are available for farming ?
18.20 acres
Step-by-step explanation:28×65% =
= 28×65/100
= 1820/100
= 18.20 acres
-56.5 as a mixed number
Answer:
-56 1/2
Step-by-step explanation:
Answer:
-5.6
Step-by-step explanation: