Answer:
x = 3 and y = 2
Step-by-step explanation:
We can plug in the numbers. 2 x 3 is 6, and 3 x 2 is 6. 6 + 6 is 12. So, x is 3 and y is 2.
Solve m + 7 = 11.
The solution is?
Answer:
m=4
Step-by-step explanation:
Answer:
4, subtract 7 from both sides m = 4
Find the volume of the given solid. Bounded by the cylinder y2 + z2 = 16 and the planes x = 2y, x = 0, z = 0 in the first octant
Answer:
[tex]\mathbf{ \dfrac{128}{3}}[/tex]
Step-by-step explanation:
Given that:
[tex]y^2 + z^2 = 16; \\ \\ where; \ x = 2y , x =0, z= 0[/tex]
[tex]Replace \ z = 0 \ \text{in the given equation ;} y^2+z^2=16[/tex]
[tex]Then;[/tex]
[tex]y^2 = 16 \\ \\ y = \sqrt{16} \\ \\ y = \pm 4[/tex]
[tex]\text{So; in 1st octant \ limits of y }= 0 \to 4 \ \text{and for x }= 0 \to 2y[/tex]
∴
[tex]\text{Volume of solid: (V) = }\int ^{4}_{y=0} \int ^{2y}_{x=0} \sqrt{16-y^2} \ dxdy \\ \\ = \int^4_{y=0} \sqrt{16 -y^2} \ (x)^{2y} _o \ dy \\ \\ = \int^4_{y=0}\sqrt{16 -y^2} (2y -0) \ dy \\ \\ V = \int^{4}_{y=0} \ 2y \sqrt{16 - y^2} \ dy[/tex]
[tex]Now, let:\\\\ 16 - y^2 = u \\ \\ -2ydy = du \\ \\ 2ydy = -du \\ \\ Hence, when \ y = 0; u = 16 \\ \\ and \\ \\ when \ y = 4 \ then \ u = 0[/tex]
∴
[tex]V = \int ^4 _{y=0} \ 2y \sqrt{16 -y^2 } \ dy \\ \\ = \int ^0_{16} - \sqrt{u}\ du \\ \\ = - \int^0_{16} \ u^{^{\dfrac{1}{2}}} \ du \\ \\ = \Bigg [\dfrac{u^{^{\dfrac{1}{2}+1}}}{\dfrac{1}{2}+1 } \Bigg]^0_{16} \\ \\ =\Bigg[ -\dfrac{u^{\dfrac{3}{2}}}{\dfrac{3}{2}}^0_{16} \Bigg] \\ \\[/tex]
[tex]= - \dfrac{2}{3}\Big( u^{\dfrac{3}{2}}\Big)^0_{16} \\ \\ = - \dfrac{2}{3} \Big(0^{^\dfrac{3}{2}}}- 16^{^{\dfrac{3}{2}}}\Big ) \\ \\ = - \dfrac{2}{3} \Big(0 - (4^2)^{^{\dfrac{3}{2}}}\Big ) \\ \\ = - \dfrac{2}{3} \Big(-(4)^{3}}\Big )[/tex]
[tex]= - \dfrac{2}{3} \Big(64\Big )[/tex]
∴
[tex]\mathbf{V = \dfrac{128}{3}}[/tex]
Simplify the following expression completely, where x 20.
x5xy* + 405x’y* - 180x’y4
O xy2 5x + xy? V405x – xy2/80x
0 6xyV5x
-3xy 5x + xy? J405x
O 6xy ſ5x}
Answer:
Option B is your answer
Step-by-step explanation:
hope it helps
have a great day!!
Answer:
A.) -80X^8 + 40x^7 -5x^6 -3x^2
Its OPTION A
Step-by-step explanation:
PLEASE HELP WILL GIVE BRAINLEIST!!! What type of angles are ∠4 and ∠8?
Answer:
Corresponding Angles
Step-by-step explanation:
They are both in the same positions but just on different lines meaning they are corresponding :)
The angle 4 and angle 8 are corresponding angles because line b and line c are parallel to each other and intersected by a line a option (D) is correct.
What is an angle?When two lines or rays converge at the same point, the measurement between them is called a "Angle."
As we can see in the figure, the line b and line c are parallel to each other and intersected by a line a.
The angles 1, 2, 3, 4, 5, 6, 7, and 8 formed.
The angles 1 and 4, angle 2 and 3 are vertically opposite angles.
Similarly, 5&8 and 6&7 are vertically opposite angles.
The angle 4 and angle 8 are corresponding angles.
Thus, the angle 4 and angle 8 are corresponding angles because line b and line c are parallel to each other and intersected by a line a option (D) is correct.
Learn more about the angle here:
brainly.com/question/7116550
#SPJ2
María trajo de su viaje seis paquetes con seis cajas cada uno. Si cada caja tiene seis bolsas, y cada bolsa, dos caramelos ¿cuántos caramelos trajo María de su viaje?
Answer:
72 candies
Step-by-step explanation:
she had 6 boxes with 6 bags each so that equals 36 and each bag has 2 candies so 36 times 2 equals 72
hope this helped plz give brainliest
ella tenía 6 cajas con 6 bolsas cada una, por lo que es igual a 36 y cada bolsa tiene 2 caramelos, por lo que 36 por 2 es igual a 72
Espero que esto haya ayudado por favor a dar lo más inteligente
Find the missing side of this right triangle. [Pythagorean Theorem]
Answer: 12 x 7 = 72
Step-by-step explanation:
Answer:
Square root of 193
Step-by-step explanation:
7^2+12^2=x^2
Switch sides: x^2=7^2+12^2
After everything is squared: x^2=49+144
x^2=193 OR x=\sqrt{193}
A package delivery company experiences high variability in daily customer demand, which in turn results in high variability in the daily workload at the central sorting facility. The company relies on its sorting facility employees working overtime to provide on-time delivery when the workload demand is very high. A sorting facility employee receives a salary of $12/hour for a 40 hour week, and the employee receives $18/hour for every hour worked overtime, that is, for every hour worked over 40 hours in a given week. The number of overtime hours that an employee works in any given week is a random variable, with a mean of 15 hours and a standard deviation of 4 hours.
Required:
What are the mean, the standard deviation, and the variance of an employee's total weekly salary?
Solution :
Let :
X = number of overtime hours
S = total weekly salary
S = [tex]$12 \times 40 + 18 \times X$[/tex]
S = 480 + 18X
E(S) = [tex]$480 + 18 \times E(X)$[/tex]
[tex]$E(S) = 480 + 18 \times 15$[/tex]
= 750
Mean of S = 750
Var (S) = [tex]$18^2 \times Var(X)$[/tex]
Var(S) = [tex]$18^2 \times 4^2$[/tex]
= 5184
Variance of S = 5184
The standard deviation equals square root of 5184 = 72
the of two numbers from a set of ten numbers is 4.5 . if one of the numbers is 6, find the number
Answer:
Step-by-step explanation:
The average of two numbers?
6+x = 4.5*2 = 9
x = 3
**Think about how many TOTAL pieces there will be.
What is the common denominator of 3 5 and 4 10
Answer:
3 and 5, 15; 4 and 10, 20
Step-by-step explanation:
The lowest number divided by 3 and 5 is 15. Same for 4 and 10. The lowest number they can both be divided by is 20.
I need this answer ASAP
Answer:
trapezoid one is 336 inches squared
trapezoid two is 9 inches squared
Step-by-step explanation:
The formula for a trapezoid is b1+b2 so the number on the top line = the number on the bottom line, you then multiply your new number by the height which is the number bye the dotted red line.
Hope this helps!
Please help me with this
Answer:
Y= -5/3x -1
Step-by-step explanation:
ASAP pls help pls pls pls
Answer:
1. No, not all line segments
2. Yes, quadrilateral
3. Yes, hexagon
4. No, it is not a closed shape.
1. Hexagon, concave
2. Octagon, convex
3. Pentagon, concave
4. Triangle, convex
5. No, not a closed shape
6. Yes
7. No, not all line segments
8. Yes
9. Uploaded in picture
10. Yes, both have exactly four sides
11. Four
12. C. 3
Dionne can fold 175 packing boxes in 50 minutes.
Elias can fold 120 packing boxes in 40 minutes.
Use unit rates to find how much time it will take each person to fold 210 packing boxes.
Drag the numbers to explain and show your answer. Numbers may be used once or not at all.
370803.54.550604
Dionne can fold
boxes in 1 minute and Elias can fold
boxes in 1 minute.
Dionne will fold 210 boxes in
minutes and Elias will fold 210 boxes in
minutes.
REFER THE ATTACHMENT ABOVE ☝☝☝☝
Answer:
[tex] \frac{176}{50m} = \frac{3.5}{1} [/tex]
RESULT
Use ratio and proportion.
Let x be the time it takes Dionne to fold 210 packing boxes:
[tex] \frac{175}{50} = \frac{210}{x} \\ \\ cross \: multiply \\ \\ \\ 175x = 50(210) \\ \\ x = \frac{50(210)}{175} \\ \\ x = \frac{50(210)}{175} \\ \\ x = 60[/tex]
So, it will take Dionne 60 minutes to fold 210 packing boxes.
Let y be the time it takes Elias to fold 210 packing boxes:
[tex] \frac{120}{40} = \frac{210}{x} \\ \\ cross \: multiply \\ \\ \\ 120x = 40(210) \\ \\ x = \frac{40(210)}{120} \\ \\ \\ x = 70[/tex]
So, it will take Elias 70 minutes to fold 210 packing boxes.
Find the 20th term of this geometric sequence: 6, 12, 24, 48, . . .
Answer: 3145728
6 12 24 48 96 192 384 768 1536 3072 6144 12288 24576 49152 98304 196608 393216 786432 1572864 3145728
8. What must be the mass of a model rocket engine be in grams to develop an
acceleration of 520 m/s2 when subjected to a force of 11.2 N? Please include the equation, it would really help me out, thanks so much!
Answer:
20 grams
Step-by-step explanation:
I did this, but I'm not sure if I'm 100% correct. Here is my answer though:
m=F/a
m=11.2/520
m=0.02kg
0.02kg=20 grams
Answer:
0.02kg
Step-by-step explanation:
Can y’all help me on question eight?!
Answer:
50
Step-by-step explanation:
PEMDAS
3(2)+24/2+2(3+7)
Pemdas
3(2)+24/2+2(10)
PeMDas
6+24/2+20
6+12+20
PemdAs
38
Pls help me pls pls
Answer:
190.8
Step-by-step explanation:
Im pretty sure my math is wrong but i hope this helps
2 Each Saturday Mr. Franklin teaches 3 piano lessons at his music school and 4 piano lessons in students' homes. For each lesson at his music school, he charges $15. • For each lesson in a student's home, he charges $20. Which set of equations can be used to find m, the amount of money in dollars Mr. Franklin earns from piano lessons each Saturday? F 15 x 4= 60 20 X 3 = 60 60 + 60 = m G 15 = 3 = 5 20:4= 5 5 + 5 = m H 15 x 3 = 45 20 x 4 = 80 80-45 = m J 15 x 3 = 45 20 x 4 = 80 45 + 80 = m
Answer:I Don't Know
Step-by-step explanation:
need help with these 2 questions
Answer:
I worked really hard on this problem, I had to manually edit with my editing tool for 15 minutes lol.
what is the percent increase of 8.4514 and 7.9053
Answer:
987.9
Step-by-step explanation:
PLEASE HELP 20 POINTS!
which model shows 1/4 ÷ 3?
Answer:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
A
MATCH THE GIVEN SIDE OR ANGLE TO ITS MEASURE USING THE PARALLEGRAM BELOW
Answer:
Wheres the PARALLEGRAM? if you give it I can answer :)
Step-by-step explanation:
Find the missing lengths leave your answers as radicals in simplest form
Step-by-step explanation:
w = 4
y = 4√2
plz mark my answer as brainlist plzzzz.
hope this will be helpful to you .
300=14(F+2)^2/3 find F and round to the nearest whole number.
Answer:
Step-by-step explanation:
5
Convert 1101 two to base 5
the answer is 23...........
need help ASAP plz and I've got more if anyone wants to help
Answer:
1/4+1/4+1/4+1/4+1/4+1/4= 1.5
3/10x2/3= 0.2
2/4x2/3= 0.33333333333 (just put 0.3 with a line on top of the 3)
6 divided by 1/2 = 12/1 or 12
9 divided by 1/3 = 27/1 or 27
2/5 divided by 3/4 = 8/15
1/2 divided by 2/3 = 3/4
7 ft equals blank inches
Answer:
it is 84 inches all together
Answer:
84 inches
Step-by-step explanation:
have a good day
may i please get a branlillest
RU is the midsegment of the trapezoid PQST.
If PQ = 17 and RU = 27, what is ST?
Answer:
7
Step-by-step explanation:
27-17=10
17-10=7
Examples of application of factoring in your work environment.
Answer:
dividing something into equal pieces, exchanging money, comparing prices, understanding time and making calculations during travel
Step-by-step explanation: