The polynomial 49 · x · y + 34 · y - 72 · z has three variables (x, y, z) and each of these variables has a degree of 1.
How to determine the degree of a polynomial
Variables and degrees are the most important features in polynomials. A variable is a letter that represents at least one value of an expression and the degree of the variable is the maximum number of the exponent associated to the variable. According to the statement, the polynomial has three variables (x, y, z), each of them has an degree of 1, that is:
grade (x) = 1, grade (y) = 1, grade (z) = 1
To learn more on degree of polynomials: https://brainly.com/question/12850541
#SPJ1
Find the distance between the given points. Round to the nearest tenth. 5,-2 and 1,2.
Answer:
[tex]4\sqrt{2}[/tex]
Step-by-step explanation:
Use the distance equation
[tex]\sqrt{(x1-x2)^2+(y1-y2)^2}[/tex]
insert values (5,-2)=(x1,y1) and (1,2)=(x2,y2)
[tex]\sqrt{(5-1)^2+((-2)-2)^2}[/tex]
[tex]\sqrt{16+16}[/tex]
[tex]4\sqrt{2}[/tex]
Hope that helps :)
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.
The diameter of a circle is 4 m. Find the circumference to the nearest tenth.
Answer :
[tex] \bf \large 10 \: m[/tex]
Step by step explanation :
Given that :The diameter of a circle is 4 m.to find :Find the circumference to the nearest tenth.formulas used :circumference = π × Diameterwhere,
π = 22/7Diameter = 4 mexplanation :⟼ c = πd
⟼ c = 22/7 × 4 m
⟼ c = 88/7 m
⟼ c = 12•57 m.
Round to the nearest tenth :⟼ c = 12•57 m
⟼ c = 10 m.
∴ circle circumference is 10 m.
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!
name types of angles in geometric figures
Answer:
obtuse angle,acute angle,right angle,straight angle hope it helps
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
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
Find the slope of the
(4,5), (6,2)
Answer:
Answer and steps are in picture.
Coin Calculation plz help
Answer:
You didnt add a question, file or possible answer choices
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
what is It is believed that the early settlers of the Pacific Islands originally migrated from __________.
A.
Europe
B.
Australia
C.
Southeast Asia
D.
Central Asia
Please select the best answer from the choices provided
ill give brainliest
Answer:South Asia-C
Step-by-step explanation:
gaged
Answer:
C, Southeast Asia
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
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
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)
Let's play Cooking Diary! Together we'll rock the culinary world! https://social-cd.mytonagames.com/4gx9R8
Kendall worked 25.5 hours one week.
If he earns $12.50 per hour, how
much did he earn that week? How did
you know where to put the decimal
point?
what is the area of the figure?
3) What measurement is
closest to the volume of
the cone in cubic
kilometers?
7 km
14 km
781.3 km
O 435.1 km
O 562.4 km
718.4 km
Answer:
A) 781.3
Step-by-step explanation:
To find the volume of the cone, you must first find the radius and height of the cone. Which is 7km (radius) and 14km(height).
Next use the formula (Which is in the picture since it's too hard to type out on here)
I also would of explained it but I found it easier just to type it out (In the file attached below)
Finally the answer is 781.3 km
Hope this helps
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.
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
Which is the value of this expression when P= -2
and q=-1
((p^2)(q^-3))^-2•((p^-3)(q^5))^-2
-4
-1/16
1/16
4
Answer:
B -1/16
Step-by-step explanation:
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:
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.
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
a circle has its center at (-2, -3) and a radius of 3 units. Find the question of the circle using the Pythagorean Theorem
Answer:
a^2 plus b^2 = c^2
Step-by-step explanation:
That's the Pythagorean theorem apply.
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 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.
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
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:
Esther estimates that she will need about $8,600 for the first year of tuition at college. Her grandparents contribution will cover 65% of the tuition expenses, and Esther will need to save to pay for the rest. If Esther has 2 years to save, what is the minimum amount that she should save each month?
Answer:
$125.42
Step-by-step explanation:
Her grandparents will cover 65% of $8600, which is 8600 * 0.65 = $5590. Therefore, she needs to pay for the part they're not covering, which is $8600 - $5590 = $3010.
2 years = 24 months, so assuming she wants to save the same amount each month, we need to divide $3010 by 24 to get the amount per month. This gets us $125.42
The minimum amount that she should save each month for two years is $125.42.
What is the minimum amount she would have to save each month?Percentage can be described as a fraction out of an amount that is usually expressed as a number out of hundred.
Amount given by her grandparents = 65% x 8600= $5590
Amount she would have to save each month for two years = (8600 - $5590) / 24 = $125.42
To learn more about percentages, please check: https://brainly.com/question/25764815