Answer:
x = 3.5
y = 8x + 12
Step-by-step explanation:
1) Given the equation
12x = 4(x+2)+20
Expand
12x = 4x+8+20
12x - 4x = 28
8x = 18
x = 28/8
x = 3.5
Hence the value of x is 3.5
2) The standard form of equation in slope intercept form is y = mx+c
m is the slope
c is the y intercept
Get the y-intercept
Substitute m = 8 and (0, 12) into y = mx+c
12 = 8(0)+c
12 = c
c = 12
Get the required equation
Recall that y = mx+c
y = 8x + 12
This gives the required equation
sin 30Degrees = square of 3/2 and cos 30degrees =1/2 true or false
Answer:
False
Step-by-step explanation:
Trying it in a calculator says otherwise meaning it's false
Consider the following problem: a box with an open top is to be constructed from a square piece of cardboard, 3 feet wide, by cutting out a square from each of the four corners and bending up the sides. Find the largest volume that such a box can have. (a) Draw several diagrams to illustrate the situation, some short boxes with large bases and some tall boxes with small bases. Find the volume of each configuration. Does it appear that there is a maximum volume
Answer:
) See annex
b) See annex
x = 0,5 ft
y = 2 ft and
V = 2 ft³
Step-by-step explanation: See annex
c) V = y*y*x
d-1) y = 3 - 2x
d-2) V = (3-2x)* ( 3-2x)* x ⇒ V = (3-2x)²*x
V(x) =( 9 + 4x² - 12x )*x ⇒ V(x) = 9x + 4x³ - 12x²
Taking derivatives
V¨(x) = 9 + 12x² - 24x
V¨(x) = 0 ⇒ 12x² -24x +9 = 0 ⇒ 4x² - 8x + 3 = 0
Solving for x (second degree equation)
x =[ -b ± √b²- 4ac ] / 2a
we get x₁ = 1,5 and x₂ = 0,5
We look at y = 3 - 2x and see that the value x₂ is the only valid root
then
x = 0,5 ft
y = 2 ft and
V = 0,5*2*2
V = 2 ft³
ZABD and ZDBC are supplementary angles.
What is the measure of x?
X = [?]°
7D
110%
AK
>C
C С
B
Angles are not drawn to scale.
Enter
Answer:
Measure?
Step-by-step explanation:
Could u like explains more pls?
Answer:
x=70°
Step-by-step explanation:
x+110=180 linear pair
x=180-110=70
A single die is rolled. Find the odds in favor of rolling a number greater than 3.
Answer:
6:3
Step-by-step explanation:
Answer and Step-by-step explanation:
3 of the options are not to be chosen, and 3 are wanted.
That means that anything above 3 (so, 4, 5, or 6) are the numbers that are wanted, while the numbers 1, 2, and 3 are not wanted.
We have 6 total options.
The ration would be:
3:6, or 3 to 6. This reduces down to 1:2, or 1 to 2.
That means that there is a 50% chance of getting 4, 5, or 6.
#teamtrees #PAW (Plant And Water)
Graph the function f(x)= -³√x+2.
Answer:
Step-by-step explanation:
A woman bought some large frames for $13 each and some small frames for $6 each at a closeout sale. If she bought 18 frames for $136, find how many of each type
she bought
She bought large frames
vie
Answer:
she bought 4 large frames and 14 small frames!
Step-by-step explanation:
This is a system of equation problem!
let's say that x= large frames and y=small frames.
since there's 18 total, we already have our first equation set.
x+y=18
(number of large frames) + (number of small frames)= 18
13x would represent the large frames because each one is 13 dollars.
6y would represent the small frames because each one is 6 dollars.
Since she paid 136 dollars total, we can already tell that
13x+6y=136
(price of large frames*number of large frames) + (price of small frames*number of small frames)=136.
Now, time for the math!
Attached below is how you would work it out using substitution.
Hope this helps!
x=4 and y=14
Meaning that she bought 4 large frames and 14 small frames!
what is the GCF of 24 and 20 is?
Step-by-step explanation:
4. because it's the highest number your can evenly divide both numbers by
Volume of a square prism with faces of 3/8
Answer:
27/512 in.^3
Step-by-step explanation:
volume = side^3
V = (3/8 in.)^3
V = 27/512 in.^3
Coin Calculation plz help
Answer:
You didnt add a question, file or possible answer choices
Can someone please help me out?
Answer:
x | f(x)0 | 02 | 25 | 39 | 110 | 0Step-by-step explanation:
On the left side of the chart, is the x values. The x values are listed on the x axis which is the horizontal line.
The right side of the chart are the y values. The y values are listed on the y axis which is the vertical line.
Knowing this, we can start
First, for all the answer that we know the x value, we need to find the number that matches on the x axis. Once we find that number, we go up or down on the y axis until we find the line.
If we know the y value, we need to find the number that matches on the y axis. Then we will go right until we find the line.
Remember - There CAN NOT be two y values for the same x value but THERE CAN BE two x values for the same y value
The authors of a paper concluded that more boys than girls listen to music at high volumes. This conclusion was based on data from independent random samples of 768 boys and 745 girls from a country, age 12 to 19. Of the boys, 397 reported that they almost always listen to music at a high volume setting. Of the girls, 331 reported listening to music at a high volume setting.
Do the sample data support the authors' conclusion that the proportion of the country's boys who listen to music at high volume is greater than this proportion for the country's girls? Test the relevant hypotheses using a 0.01 significance level. (Use a statistical computer package to calculate the P-value. Use μboys − μgirls. Round your test statistic to two decimal places and your P-value to four decimal places.)
Answer:
Since the calculated value of z= 2.82 does not lie in the critical region the null hypothesis is accepted and it is concluded that the sample data support the authors' conclusion that the proportion of the country's boys who listen to music at high volume is greater than this proportion for the country's girls.
The value of p is 0 .00233. The result is significant at p < 0.10.
Step-by-step explanation:
1) Let the null and alternate hypothesis be
H0: μboys − μgirls > 0
against the claim
Ha: μboys − μgirls ≤ 0
2) The significance level is set at 0.01
3) The critical region is z ≤ ± 1.28
4) The test statistic
Z= p1-p2/ sqrt [pcqc( 1/n1+ 1/n2)]
Here p1= 397/768= 0.5169 and p2= 331/745=0.4429
pc = 397+331/768+745
pc= 0.4811
qc= 1-pc= 1-0.4811=0.5188
5) Calculations
Z= p1-p2/ sqrt [pcqc( 1/n1+ 1/n2)]
z= 0.5169-0.4429/√ 0.4811*0.5188( 1/768+ 1/745)
z= 2.82
6) Conclusion
Since the calculated value of z= 2.82 does not lie in the critical region the null hypothesis is accepted and it is concluded that the sample data support the authors' conclusion that the proportion of the country's boys who listen to music at high volume is greater than this proportion for the country's girls.
7)
The value of p is 0 .00233. The result is significant at p < 0.10.
Let's play Cooking Diary! Together we'll rock the culinary world! https://social-cd.mytonagames.com/4gx9R8
You spin a spinner that is equally divided into 5 parts, and then you spin it again. 1 part is pink, 2 parts are blue, and 2 parts are black. What is the probability of the spinner dropping on a blue section on the first spin and then a blue section of the second spin?
Answer:
There is a 16% chance of the spinner dropping on a blue section on the first spin and then a blue section of the second spin.
Step-by-step explanation:
Given that I spin a spinner that is equally divided into 5 parts, and then I spin it again, knowing that 1 part is pink, 2 parts are blue, and 2 parts are black, to determine what is the probability of the spinner dropping on a blue section on the first spin and then a blue section of the second spin the following calculation must be performed:
Blue parts: 2
Total Parts: 5
2/5 = 0.4 = 40%
0.40 x 0.40 = 0.16
Thus, there is a 16% chance of the spinner dropping on a blue section on the first spin and then a blue section of the second spin.
the marked price of an article is 35% more than that of cost price.If the article is sold allowing 15% discount,profit becimes Rs.200.Find the MP and Cp of the article.
Answer:
B
Step-by-step explanation:
What effect does armature reaction have on the torque speed characteristic of a DC shunt motor?
Answer:
Step-by-step explanation:
The armature reaction in the motor affects the torque speed characteristics of the motor. Due to the armature reaction in the motor the shape of the torque speed characteristics will changes. The relation between torque and speed of the motor is given below.
…… (1)
where
Terminal voltage of the motor
Flux in the motor
Torque induced in the motor
Armature resistance
If a motor has armature reaction, as the load increases the flux weakening effect reduces the flux in the field winding. From equation (1), as the flux reduces, the speed of the motor increases at a given load over the speed it would run at without armature reaction.
Ella has a part-time job selling cupcakes at a cart in the park. She is paid $25 for a shift plus a fee of $0.25 for each cupcake she sells. A) Write and equation that can be used to solve for the total amount, t, Ella earns for working a shift in the park and selling c cupcakes. Ella works a shift and earns $38. B. Use the equation you wrote for part A to solve for the number of cupcakes Ella sold during her shift. Show your work. In the summer, the average number of cupcakes sold during a weekday shift is 36 and the average number of cupcakes sold during a weekend shift is 62. Ella has been given the choice to work a regular schedule of 3 weekday shifts each week or 2 weekend shifts each week. C. Explain which schedule will allow Ella to earn $300 more quickly. Support your answer with mathematical evidence, and state which shift Ella should choose.
9514 1404 393
Answer:
A) t = 0.25c +25
B) c = 52
C) 3 weekday shifts
Step-by-step explanation:
A. The amount Ella earns is $0.25 per cupcake, so for c cupcakes, that is ...
0.25c
In addition, she is paid $25, so her total amount she is paid is ...
t = 0.25c +25
__
B. In order to earn $38, the number of cupcakes sold must be ...
38 = 0.25c +25
13 = 0.25c . . . . . . subtract 25
52 = c . . . . . . . . . multiply by 4
Ella sold 52 cupcakes to earn $38.
__
C. On one of the average weekdays, Ella could be expected to earn ...
t = 0.25(36) +25 = 34
Then for 3 weekday shifts, her earnings would be 3($34) = $102. (It would take Ella 3 weeks to earn $300.)
On one of the average weekend shifts, Ella could be expected to earn ...
t = 0.25(62) +25 = 40.50
Then for 2 weekend shifts, her earnings would be 2($40.50) = $81. (It would take Ella 4 weekends to earn $300.)
Ella would earn $300 more quickly by working weekday shifts.
Pls help I don’t know hot to multiply the last part 8 2
Answer:
8^2 = 64
Step-by-step explanation:
Hi! Okay, let's get started!
[tex]8^{2}[/tex] is what you need help with right?
So, that equals to 8 x 8.
8 x 8 = 64, so it would be 64
Hope that helps!
-Aphrodite :)
Please help me ASAP Please
Answer:
31x=217 x=7
Step-by-step explanation:
begin with what you know. You know that you will have 31 days to complete the goal and that the goal is 217 miles. This gives you your y (217) and your m (31). Then set up into y=mx+b form. This gives 31x=217. Then to solve divide 217 by 31. This gives the needed the needed answer of 7 miles per day
please please help me I will mark brainlist !!
Answer:
9. B. 32 millimeters
10. C. 7 inches
11. C. 56.24 millimeters
13. B. 14.13 square feet
Step-by-step explanation:
9. Radius of a circle or any circular shape = ½ of its diameter
Diameter of the disk = 64 millimeters
Radius of the disk = ½(64) = 32 millimeters
10. Width of the cooler = 6 in.
Length = 8 in.
Volume = 336 in.³
Height = ?
Formula for volume of a rectangular prism = L*W*H
Plug in the values
336 = 8*6*H
336 = 48*H
Divide both sides by 48
336/48 = H
H = 7 inches
11. A dime has a circular shape
The circumference of the dime = circumference of a circle = πd
Where,
d = 17.91 millimeters
π = 3.14
Plug in the values
C = 3.14 × 17.91 = 56.2374
≈ 56.24 millimeters (nearest hundredth)
12. Area of the top of the desk = area of semicircle = ½ × πr²
Where,
r = ½(6) = 3 ft
π = 3.14
Plug in the values
Area = ½ × 3.14 × 3² = ½ × 3.14 × 9
Area = 14.13 square feet
what is the area of the figure?
A bag contains 7 blue, 4 yellow, 4 green, and 5 red marbles. Find the probability of choosing a green marble without looking. Mark only one oval. Dood
Answer:
1/4
Step-by-step explanation:
total balls=7+4+4+5=20
probability of green marble=?
green marbles are 5 so,
Probability=number of favourable outcomes / number of all possible outcomes
total outcomes=20
green ball chances=5
=5/20
=1/4
Rachel received a monthly raise of $105.25. If this represented a 5.5% increase, what is her monthly salary after the raise?
A. $1,913.64
B. $1,964.13
С. $2,018.89
D. $2.089.18
Answer:
C
Step-by-step explanation:
105,25:5,5*105.5=2018,89
A person places $3090 in an investment account earning an annual rate of 3%,
compounded continuously. Using the formula V = Pet, where V is the value of the
account in t years, P is the principal initially invested, e is the base of a natural
logarithm, and r is the rate of interest, determine the amount of money, to the
nearest cent, in the account after 11 years.
Answer:
$4298.10
Step-by-step explanation:
Using the relation :
V = Pe^rt
P = 3090 ; r = 3% = 0.03 ; t = 11 years
V = 3090 * e^(0.03 * 11)
V = 3090 * e^0.33
V = 3090 * 1.3909681
V = 4298.0915
Amount in the investment after 11 years will be $4298.10
Which line shown appears to have a Y-intercept of 3?
A. I
B. II
C. III
D. IV
E. none of the above
im almost done with this hw. plz help!!! give explanation if you actually know the answer so ik u dont just want points
Answer:
i belive it is answer B
Step-by-step explanation:
Answer:
I think its B
Step-by-step explanation:
im not sure
what is the present perfect of everybody
Answer:
Present Perfect Tense Examples
Has lived: She has lived here all her life.
Have written: They have written three letters already.
Have worked: I have worked here since I graduated school.
Has done: He has finished his homework.
Have been: We have been to Canada.
Has forgotten: She has forgotten her folder.
Step-by-step explanation:
Find the slope of the
(4,5), (6,2)
Answer:
Answer and steps are in picture.
7) Una epidemia mató los 3/7 de las vacas de un granero y de las que le quedaron vendió 1/2. Si todavía le quedaron 24 vacas, ¿Cuántas vacas tenía al principio, ¿cuántas murieron y cuántas vendió?
Answer:
Habían inicialmente 84 vacas. Murieron 36 vacas. 24 vacas fueron vendidas.
Step-by-step explanation:
Sea [tex]x[/tex] la cantidad inicial de vacas. De acuerdo con el enunciado, murieron tres séptimos de la cantidad inicial y la mitad de ese remanente fue vendida, quedando 24 vacas. Matemáticamente, tenemos las siguientes operaciones:
Cantidad inicial de vacas
[tex]x = \frac{24}{\left(1-\frac{3}{7} \right)\cdot \left(1-\frac{1}{2} \right)}[/tex]
[tex]x = 84[/tex]
Habían inicialmente 84 vacas.
Cantidad de vacas muertas
[tex]y = \frac{3}{7}\cdot x[/tex]
[tex]y = 36[/tex]
Murieron 36 vacas.
Cantidad de vacas vendidas
[tex]z = \left(1-\frac{3}{7} \right)\cdot \frac{1}{2}\cdot x[/tex]
[tex]z = 24[/tex]
24 vacas fueron vendidas.
a bag contains 1 red beads,2 yellow beads,2 green beads and 1 blue beads
a bead is chosen at random
a)what is probability that it is green ?
b)what probability that it is green or yellow
Answer:
a) 2/6 b) 4/6
Step-by-step explanation:
You add the amount of beads: 1+2+2+1= 6
And take the amount of green beads and put it over the total amount so 2/6
For b you do the same but add the green and yellow beads and put that over the total amount 4/6
Answer:
Step-by-step explanation:
a) 2/6 = 1/3
b) green or yellow = (2/6 x 1/5) + (2/6 x 1/5) = 1/15 x 1/15 = 1/225
im not sure if my answers are correct
Which box plot matches the date set 34,36,41,45,49,50,51,52,56,59
Answer:
D
Step-by-step explanation:
The box has to go from the first to the third quartile and that one does and c isn't correct because the line isn't at the median.