Answer:
6
Step-by-step explanation:
xy=k
Value of k ; when ; x = - 3 and y = - 2
Put x = - 3 and y = - 2 into the equation :
(-3)(-2) = k
-3 * - 2 = k
6 = k
The constant of variation k = 6
Plz help i will mark brainlies i will also give u points
Answer:
11.31
Step-by-step explanation:
I'm assuming you're looking for the length of each side, 11.31 is the answer
What is the maximum volume of a pyramid that can fit inside a cube with sides that are 18 cm long?
Answer:
972 cm³
Step-by-step explanation:
the maximum volume is
⅓×18³= 972 cm³
What is the scale factor from Polygon A to Polygon B? Explain your reasoning.
B Find the missing length of each side marked with ? in Polygon B.
C Determine the measure of each angle marked with ? in Polygon A.
Answer:
for the lengths, just double the numbrrs
1.5 -> 3
2.5 -> 5
bc the scale factor is two (the upper edge is given)
the angles are just the same, no matter the zoom factor
There are two polygons where B is greater than A.
One side in polygon A has a length of 2.5 and the corresponding length in polygon B is 5.
So, the scale factor is
[tex]\dfrac{5}{2.5}=2[/tex]
So, the missing sides in polygon B are
[tex]1.5\times2=3[/tex]
[tex]2.5\times 2=5[/tex]
The angles in polygon A will be the same as B as all the sides of the polygon have changed according to the scale factor.
So, the missing sides in polygon B are 3 and 5, and the angles in polygon A are [tex]53^{\circ}[/tex] and [tex]82^{\circ}[/tex].
Learn more:
https://brainly.com/question/16315840
https://brainly.com/question/13156698
please help find the surface area. i will give brainliest
Answer:
The first one is 145 in^2 and the other is 250 in^2
Step-by-step explanation:
For the first one you have to find the base first so 5*5=25, then you find the area of the other faces and since theres 4 of them dont bother diving them by 2 and just do it twice, so the faces would be 120 in^2 in all add it together and you get 145
For the second one its the same thing but instead of a square base its a triangle so theres only 3 faces. 8*10 = 80/2 =40, 2 of the faces are 140 in all and to find the last one just 14*10=140/2=70 and you add them together and get 250
Let P denote the set of primes and E the set of even integers. As always, Z and N denote the integers and natural numbers, respectively. Find equivalent formulations of each of the following statements using the notation of set theory that has been introduced in this section. (a) 0 is an integer but not a natural number.
Answer:
{0} ∈ Z ∧ {0} ∉ N
Step-by-step explanation:
The notations we can use here are:
∈ = belongs
∉ = does not belong.
∧ = and
So, if we want to say that 0 is an integer, we use:
{0} ∈ Z
if we want to say that 0 is not a natural number, we use:
{0} ∉ N
And, if we want to say both in the same statement, we can use the "and" symbol:
{0} ∈ Z ∧ {0} ∉ N
Oil from a leaking container radiates outwards in the form of a circular film on the water surfaces.
If the area of the circle increases at rate of 900m²/s, how fast is the radius of the circle
increasing when the area is 1400 z m??
[6 marks)
[Ans:3.83m/s]
[tex] \frac{dr}{dt} = 6.79 \: \frac{m}{s} [/tex]
Step by Step Explanation:
The area a is defined as
[tex]a = \pi {r}^{2} [/tex]
Now take derivative of the above expression with respect to time:
[tex] \frac{da}{dt} = 2\pi r \frac{dr}{dt} [/tex]
Solving for dr/dt, we then get
[tex] \frac{dr}{dt} = \frac{1}{2\pi r} \frac{da}{dt} [/tex]
Note that da/dt = 900 m^2/s and when the area of the oil slick is 1400 m^2, the radius r is r = √(1400/π) = 21.1 m. Therefore,the rate at which the radius is increasing dr/dt is
[tex] \frac{dr}{dt} = \frac{1}{2\pi(21.1 \: m)}(900 \frac{ {m}^{2} }{s} ) = 6.79 \frac{m}{s} [/tex]
Which given statement is also true— ?
Answer:
give brainllest if right
c
Step-by-step explanation:
Sonia ran 6 miles more than twice as far as Brian if the total number of milesso you ran 6 miles more than twice as far as Brian if the total numbers of Miles run by both is 33 how far did each one run.
Answer: Brian ran 9 miles
Sonia ran 24 miles
Step-by-step explanation:
Let's Brian's distance be represented by x.
Since Sonia ran 6 miles more than twice as far as Brian. This will be:
= (2 × x) + 6
= 2x + 6
Therefore,
x + 2x+6 = 33
3x + 6 = 33
3x = 33 - 6.
3x = 27
x = 27/3
x = 9
Brian ran 9 miles
Sonia ran = 2x+6 = 2(9).+ 6 = 18+6 = 24 miles
Find the area and the perimeter.
6.4 yd
5 yd
6.7 yd
Area:
Perimeter:
Answer:
The area of the parallelogram is base*height, so the area would be 5*6.7=33.5yd^2
The perimeter of the shape would be 6.4+6.4+6.7+6.7=26.2yd
Suppose that telephone calls arriving at a switchboard follow a Poisson process with an average of 5 calls per minute. What is the probability up to a minute will elapse by the time 2 calls have come into the switchboard
Answer:
The correct answer is "0.0842".
Step-by-step explanation:
Given:
X = 5
By using the Poisson's distribution formula, we get
The probability will be:
⇒ [tex]P(x=2)=\frac{\lambda^x.e^{-\lambda}}{x!}[/tex]
By substituting values, we get
[tex]=\frac{(5)^2\times e^{-5}}{2!}[/tex]
[tex]=\frac{25\times e^{-5}}{2!}[/tex]
[tex]=0.0842[/tex]
Someone please help me thank you.
9514 1404 393
Answer:
k = 8
Step-by-step explanation:
A slope of 3 means that y increases by 3 when x increases by 1.
The second point (2, k) has an x-value (2) that is 1 more than the x-value (1) of the first point (1, 5). This means the y-value (k) of the second point (2, k) will be 3 more than the y-value (5) of the first point (1, 5).
k = 5 + 3 = 8
The diameter of our solar system (depending on how you define “solar system”) is about 8,980,000,000,000 kilometers. The distance from our solar system to the nearest star, Proxima Centauri, is about 39,900,000,000,000,000 kilometers. A light-year is the distance light travels in one year, and it is equal to about 9,460,000,000,000 kilometers. a) Write each of these numbers in scientific notation. Explain how you got your answers, and explain why you know that your method works. b) You’d like to both know the end-to-end distance within the solar system and the distance to Proxima Centauri in light-years. Using your scientific notation numbers, convert these distances. What is the ratio of the solar system’s length to the Proxima Centauri distance? c) Light travels at 300,000 kilometers per second. Write this rate in scientific notation. When Proxima Centauri sends out light at that speed, how long does it take to reach our solar system? Can you convert to minutes, hours, days, or years? Does your answer in years correspond to the distance in light-years from our solar system to Proxima Centauri? Why or why not?
Answer:
Step-by-step explanation:
Place a decimal point to the right of the first real number. write the real number with decimal point
Then count the number of places after the decimal point and this with the power of ten. For example, in diameter of solar system, after keeping decimal after 8, there are 12 places. so power of 10 is 12
a) 8,980,000,000,000 kilo meters. = 8.98 * 10¹² km
39,900,000,000,000,000 kilo meters = 3.99* 10¹⁶ km
9,460,000,000,000 kilo meters = 9.46 * 10¹² km
b)the distance to Proxima Centauri in light-years = 3.99* 10¹⁶ 9.46 * 10¹²
= 0.4218 * 10⁽¹⁶⁻¹²) = 0.4218 * 10⁴
= 4.218 * 10³ light year
c) Speed of light= 3 * 10⁵ km per second
Cardiovascular disease is a major cause of death and illness worldwide, with high blood pressure and high LDL cholesterol both being established risk factors. Because most cardiovascular events occur in persons with average risk factors. Because most cardiovascular events occur in persons with average risk and no previous cardiovascular disease history, the present research examined the simultaneous use of both blood pressure reducing drugs and cholesterol reducing drugs on this population, rather than focusing on only those on only those at high risk. Subjects included men at least 5 years old and women at least 6565 years old without cardiovascular disease who had at least one additional risk factor besides age, such as recent or current smoking, hypertension, or family history of premature coronary heart disease. Those with current cardiovascular disease were excluded from the study. Subjects were randomly assigned to the treatment (cholesterol and blood pressure reducing drugs) or a placebo, and the number suffering the primary outcome of a fatal cardiovascular event, a nonfatal myocardial infarction or a nonfatal stroke, were observed. Provided are the results for the two groups over the course of the study:
Group Sample size Number experiencing primary outcome
Treatment 3180 113
Placebo 3168 157
Let p1 be the proportion experiencing the primary outcome with the treatment and p2 the proportion without the treatment. Select the correct pair of hypotheses.
a. H0:p1=p2 versus Ha:p1â p2 .
b. H0:p1=p2 versus Ha:p1>p2 .
c. H0:p1=p2 versus Ha:p1
d. None of the options are correct.
Answer:
H0: p1=p2 versus Ha:p1≠p2
Step-by-step explanation:
Let p1 be the proportion experiencing the primary outcome with the treatment and p2 the proportion without the treatment.
We want to determine whether the proportion of persons having the treatment suffering the primary outcome of a fatal cardiovascular event is equal to the proportion of people without the treatment suffering the primary outcome of a fatal cardiovascular event.
The hypothesis is based on the study under observation. The claim is set as the alternate hypothesis.
The null and alternate hypotheses are
H0: p1=p2 versus Ha:p1≠p2
Both proportion ( with and without treatment ) are same
against the claim
Both proportion ( with and without treatment ) are not the same .
Option which gives the answer
H0: p1=p2 versus Ha:p1≠p2
is the best option.
If you place a 24-foot ladder against the top of a 20-foot building, how many feet will the bottom of the ladder be from the bottom of the building? Round to the nearest tenth of a foot.
Help please
The distance from the bottom of the ladder be from the bottom of the building is 13.3feet
Application of pythagoras theoremThe theorem states that the square of the hypotenuse is equal to the square of the other two sides
Given the following
Hypotenuse = 24 feet
Opposite side = height = 20ft
Required
Base of the ladder
Use the theorem
24^2 = 20^2 + b^2
b^2 = 576 - 400
b^2 = 176
b = 13.3feet
Hence the distance from the bottom of the ladder be from the bottom of the building is 13.3feet
Learn more on pythagoras theorem here: https://brainly.com/question/343682
Two trains leave stations 416 miles apart at the same time and travel toward each other. One train travels at 85 miles per hour while the other travels at 75 miles per hour. How long will it take for the two trains to meet?
Answer:
2.6 hours
Step-by-step explanation:
75+85
160x/160= 416/160
=2.6
A projectile is fired straight up from ground level with an initial velocity of 112 ft/s. Its height, h, above the ground after t seconds is given by h = –16t2 + 112t. What is the interval of time during which the projectile's height exceeds 192 feet?
Answer:
Step-by-step explanation:
We can do this the easy way and just set up an inequality and let the factoring do the work for us. The inequality will look like this:
[tex]-16t^2+112t>192[/tex] We will move the constant over and get
[tex]-16t^2+112t-192>0[/tex] and when you factor this you get that
3 < t < 4
Between 3 and 4 seconds is where the projectile reaches a height higher than 192 feet. With a little more work and some calculus you can find the max height to be 196 feet.
Answer:
its A
Step-by-step explanation:
got it right
Staples, a chain of large office supply stores, sells a line of desktop and laptop computers. Company executives want to know whether the demands for these two types of computers are dependent on one another. Each day's demand for each type of computers is categorized as Low, Medium-Low, Medium-High, or High. The data shown in the table below is based on 205 days of operation. Based on these data, can ? Test at the 5% level of significance.
low med-low med-high high
low 4 15 14 3 36
laptops med-low 6 18 18 23 65
med-high 13 17 10 17 57
high 7 15 15 10 47
30 65 57 53 205
Required:
a. What is the test value for this hypothesis test?
b. What is the conclusion for this hypothesis test?
Answer:
As the calculated χ² = 1.23 is less than the critical region χ²≥ χ²(0.05,9)= 16.92 ,Staples can conclude that demands for these two types of computers are independent at the 0.05 level of significance.
Step-by-step explanation:
As we have to test the independence of the two categories the chi square of independence test is applied.
Let the null and alternate hypotheses be
H0 :The demand for each type of computers is independent
against the claim
Ha: The demand for each type of computers is not independent i.e they are associated.
The significance level alpha is chosen to be 0.05
The critical region for alpha =0.05 and (4-1)(4-1) = 3*3 =9 d.f is
χ²≥ χ²(0.05,9)= 16.92
Actual Data
low med-low med-high high Total
low 4 15 14 3 36
med-low 6 18 18 23 65
med-high 13 17 10 17 57
high 7 15 15 10 47
Total 30 65 57 53 205
Expected Frequencies
low- low = 30*36/205= 5.27
low- med.low = 65*36/205 = 11.41
low- medium high = 57*36/205= 10.009
low- high = 53*36/205 =9.31
medium low- low = 30*65/205 = 9.51
medium low- med.low = 65*65/205= 20.61
medium low- medium high = 57*65/205= 18.073
medium low- high = 53*65/205= 16.80
medium high- low = 30*57/205= 8.34
medium high- med.low = 65*57/205= 18.07
medium high- medium high = 57*57/205= 15.85
medium high- high = 53*57/205= 14.74
high- low = 30*53/205= 7.76
high- med.low = 65*53/205= 16.80
high- medium high = 57*53/205= 14.74
high- high = 53*53/205= 13.70
Summarizing in a table
Expected Frequencies
low med-low med-high high Total
low 5.27 11.41 10.009 9.31 35.999
med-low 9.51 20.61 18.073 16.8 64.993
med-high 8.34 18.07 15.85 14.74 57
high 7.76 16.8 14.74 13.7 53
Total 30.88 66.89 58.672 54.55 210.992
Using Excel
The Chi Square Values are
0.062823
0.270857
0.159572
0.735995791
1.229247532
As the calculated χ² = 1.23 is less than the critical region χ²≥ χ²(0.05,9)= 16.92 ,Staples can conclude that demands for these two types of computers are independent at the 0.05 level of significance,
. There are 1,716 students participating in Field Day. They are put into teams of 16 for the
competition. How many teams are created?
Answer:
107 TEAMS
Step-by-step explanation:
1716/16=107
The same exponential growth function can be written in the forms y() - yo e t, y(t)- yo(1 r, and y) yo2 2. Write k as a function of r, r as a function of T2, and T2 as a function of k Write k as a function of r. k(r)-
Answer:
[tex](a)\ k(r) = \ln(1+r)[/tex]
[tex](b)\ r(T_2) = 2^{1/T_2}-1[/tex]
[tex](c)\ T_2(k) = \frac{\ln(2)}{k}[/tex]
Step-by-step explanation:
Given
[tex]y(t) = y_0e^{kt}[/tex]
[tex]y(t) = y_0(1+r)^t[/tex]
[tex]y(t) = y_02^{t/T_2}[/tex]
Solving (a): k(r)
Equate [tex]y(t) = y_0e^{kt}[/tex] and [tex]y(t) = y_0(1+r)^t[/tex]
[tex]y_0e^{kt} = y_0(1+r)^t[/tex]
Cancel out common terms
[tex]e^{kt} = (1+r)^t[/tex]
Take ln of both sides
[tex]\ln(e^{kt}) = \ln((1+r)^t)[/tex]
Rewrite as:
[tex]kt\ln(e) = t\ln(1+r)[/tex]
Divide both sides by t
[tex]k = \ln(1+r)[/tex]
Hence:
[tex]k(r) = \ln(1+r)[/tex]
Solving (b): r(T2)
Equate [tex]y(t) = y_02^{t/T_2}[/tex] and [tex]y(t) = y_0(1+r)^t[/tex]
[tex]y_0(1+r)^t = y_02^{t/T_2}[/tex]
Cancel out common terms
[tex](1+r)^t = 2^{t/T_2}[/tex]
Take t th root of both sides
[tex](1+r)^{t*1/t} = 2^{t/T_2*1/t}[/tex]
[tex]1+r = 2^{1/T_2}[/tex]
Make r the subject
[tex]r = 2^{1/T_2}-1[/tex]
Hence:
[tex]r(T_2) = 2^{1/T_2}-1[/tex]
Solving (c): T2(k)
Equate [tex]y(t) = y_02^{t/T_2}[/tex] and [tex]y(t) = y_0e^{kt}[/tex]
[tex]y_02^{t/T_2} = y_0e^{kt}[/tex]
Cancel out common terms
[tex]2^{t/T_2} = e^{kt}[/tex]
Take ln of both sides
[tex]\ln(2^{t/T_2}) = \ln(e^{kt})[/tex]
Rewrite as:
[tex]\frac{t}{T_2} * \ln(2) = kt\ln(e)[/tex]
[tex]\frac{t}{T_2} * \ln(2) = kt*1[/tex]
[tex]\frac{t}{T_2} * \ln(2) = kt[/tex]
Divide both sides by t
[tex]\frac{1}{T_2} * \ln(2) = k[/tex]
Cross multiply
[tex]kT_2 = \ln(2)[/tex]
Make T2 the subject
[tex]T_2 = \frac{\ln(2)}{k}[/tex]
Hence:
[tex]T_2(k) = \frac{\ln(2)}{k}[/tex]
How much dog food would fit in a into a can with a height of 15.5 cm and a diameter of 10 cm?
Answer:
depends on the size of the food
Step-by-step explanation:
Given the expenses below, what is the yearly total of estimated expenses? Rent: $1,380 per month; Transportation: $405 per month; Clothing: $643 per year, Food: $65 per
week; Savings: $90 per week; Utilities: $395 per month; Recreation/Entertainment: $80 per week
$34,876
$35,457
$36,995
$39,023
None of these choices are correct.
Answer:35457$
Step-by-step explanation:
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IOVAJ
The missing number in the arithmetic sequence 60, 51,
33 is:
43.
41.
ОООО
40.
42.
Step-by-step explanation:
missing where ?
I guess you mean that there is one element missing between 51 and 33 (based on the readable answer options).
if that is true, then the missing element is 42.
the difference between 60 and 51 is 9.
the difference between 51 and 33 is 18.
if there is an engender missing in between 51 and 33, then it is logical to put it in the middle cutting the interval of 18 in half to 2 times 9. which is also supported by the first interval between 60 and 51 (9).
so, it would be 51 -9 = 42
Which equals the product of (x-3)(2x + 1)? 222 – 7x - 3 22 – 5x - 3 3x = 2 6,2
Answer:
.
Step-by-step explanation:
[tex]2 {x}^{2} - 5x - 3[/tex]
Given the vector u with magnitude 8 and direction 150° and the vector v with magnitude 3 and direction 115º, find the components of the vector u + v. Round to
four decimal places
======================================================
Explanation:
Vector u has magnitude 8 and direction 150 degrees.
So r = 8 and theta = 150
The polar form
r*(cos(theta)+i*sin(theta))
updates to
8*(cos(150)+i*sin(150))
---------------------
Use your calculator to evaluate that last expression to get it into a+bi form
8*(cos(150)+i*sin(150))
8*(-0.866025 + i*0.5)
-6.9282 + 4i
So this is the a+bi form of vector u. It's a rough approximation of it.
-----------------------
Repeat those steps for vector v
v = r*(cos(theta)+i*sin(theta))
v = 3*(cos(115)+i*sin(115))
v = 3*(-0.422618 + i*0.906308)
v = -1.267854 + 2.718924i
----------------------
We're converting each vector to a+bi form so that we can add the vectors.
The general idea is that if you want to add v = a+bi and w = c+di, then
v+w = (a+c)+(b+d)i
we simply add the corresponding real components together, and the imaginary components are added together as well.
-----------------------
Add up u and v
u+v = (-6.9282 + 4i) + (-1.267854 + 2.718924i)
u+v = (-6.9282 + -1.267854) + (4i + 2.718924i)
u+v = -8.196054 + 6.718924i
When rounding to four decimal places, the real and imaginary components are -8.1961 and 6.7189 respectively. These represent the x and y components of the vector.
So we can say vector u+v is approximately < -8.1961, 6.7189 >
What is the answer to this question?
B. Solve for the unknown side by applying the Triangle Angle‐Bisector Theorem.
Answer: It is 18
Step-by-step explanation: Well because it is the same as the other side.
Solve for the unknown side by applying the Triangle Angle‐Bisector Theorem.
Solution for r:-[tex] \rightarrow\sf{\frac{25}{15}=\frac{s}{18}\rightarrow{15s}=25(18)}[/tex]
[tex] \rightarrow\sf{s=\frac{25(18)}{15}}[/tex]
[tex] \rightarrow\sf{s={\frac{[(5)(5)][(2)(3)(3)]}{(3)(5)}}}[/tex]
[tex]\rightarrow\sf{s=(5)(2)(3)=30}[/tex]
Solution for s:-[tex]\rightarrow\sf{s=20-r=20-12={\color{magenta}{8}}}[/tex]
Answer:-The Unknown sides of the given figure above is 8.[tex]\large{—————————————————————}[/tex]
#CarryOnMath⸙
✍Zenitsu2
What is mortgage of a 400000.00 loan at 6% 30 year fixed
9514 1404 393
Answer:
$2398.20
Step-by-step explanation:
Perhaps you want the monthly payment. It is given by the amortization formula ...
A = P(r/n)/(1 -(1 +r/n)^(-nt))
where P is the principal amount, r is the annual interest rate, n is the number of payments per year, t is the number of years.
Your monthly payment will use P = 400,000; r = 0.06, n = 12, t = 30.
A = $400,000(0.06/12)/(1 -(1 +0.06/12)^(-12·30)) ≈ $2398.20
show ur solving please
Which number completes the table?
n
63
91
119
147
n7
9
?
21
Answer:
The answer is 13.
Step-by-step explanation:
n ÷ 7
= 91 ÷ 7
=13
Avi, Caleb, Rosa, Sonya, and Zamir compared recent quiz scores and learned that some of their quizzes differed in the number of questions. Zamir answered .75 of the 40 questions on his test correctly. Caleb answered 12 fewer questions correctly then Zamir, but he had only 25 questions on his test. Caleb and Rosa had the same number of quiz questions, but Rosa solved 1 more question correctly than Caleb. What was the percentage score for each of the students?
Answer:
Zamir 75%
Caleb 72%
Rosa 76%
Work
Zamir
.75=75%
75*40=3000
3000/ 100= 30
Zamir got 30 out of 40 questions right
Caleb
30-12=18
Caleb got 18 out of 25 questions right now find percent
18*100=1800
1800/ 25= 72
Caleb got 72%
Rosa
18+1=19
Rosa got 19 out of 25 questions correct now find percent
19*100=1900
1900/ 25=76
Rosa got 76%