Answer:
Step-by-step explanation:
A rational number are numbers that can be expressed as as fraction. They can be expressed as a ratio of two integers. An irrational is quite the opposite. An irrational number cannot be expressed as a ratio of two integers.
Taking square root of two as an example;
√2 cannot be expressed as a ratio of two integers because the result will always be a decimal. If expressed as √2/1, it is still not a rational number because of the square root of 2 at the numerator. Square root of 2 is not an integer even though 1 is an integer.
Mark is wrong because √2 is irrational and it is irrational because it cannot be expressed as a ratio of two integers not due to the fact that he can write it as a fraction.
The percent of a country's households with broadband Internet access can be modeled by the function f left parenthesis x right parenthesisequalsnegative 0.11 x squared plus 6.51 x plus 3, where f left parenthesis x right parenthesis is the projected percent of households with broadband Internet access and x is the number of years since 2000.
a. Will this function have a maximum or a minimum? How can you tell?
b. According to this model, in what year will the percent of homes with broadband Internet access be at its maximum or minimum?
c. What is the predicted maximum/minimum percent of homes with broadband Internet access?
Answer:
a) The function has a maximum at x = 29,59
b) 99,32 %
Step-by-step explanation:
f(x) = -0,11*x² + 6,51*x + 3
Then:
f´(x) = -0,22*x + 6,51
If f´(x) = 0 then - 0,22*x + 6,51 = 0
0,22*x = 6,51
x = 6,51/0,22 ⇒ x = 29,59
if we get the second derivative
f´´(x) = - 0,22 f´´(x) < 0 then we have a maximun at x = 29,59
a) the function has a maximum
b) 29,59 years after 2000 ( in 2030 )
c) f(x) = - 0,11*x² + 6,51*x + 3
f(29,59) = - (0,11)* (29,59)² + 6,51*29,59 + 3
f(29,59) = 99,32 %
The art club is planning a meeting. They are planning to serve cookies and brownie bites and want to have one dessert per person. They expect an attendance of a total of 75 people. Cupcakes (c), come in packs of 6 each, and the brownie bites (b) come in packages of 15. (here is the equation > 6c+15b=75).
Question #1) If the treasurer buys 1 package of brownie bites, how many packages of cupcakes are needed according to this equation? Question #2) If the treasurer buys 7 packages of brownie bites, how many packages of cupcakes are needed according to this equation?
Answer:
see explanation
Step-by-step explanation:
1) 6c + 15(1) = 75
6c = 60
c = 10 packs of cupcakes
2) 6c + 15(7) = 75
6c + 105 = 75
6c = -30
c = -5, since he bought more brownies than needed, he does not need to buy any cupcakes.
Answer:
6c+15b=75
1)If the treasurer buys 1 package of brownie bites
6(1)+15b=75
15b=75-6
b=69/15=4.6 ( means the treasure needs to buy 5 packages).
2): If the treasurer buys 7 packages of brownie bites,
6c+15(7)=75
6c+105=75
c=-30/6=-5( you can not buy negative amount)
the treasure does not need to buy, because brownies are enough and more.
Please answer correct answer now fast
Answer:
Approximately 13.9 units.
Step-by-step explanation:
First, note that ΔTVW is a right triangle.
Since we are given that ∠UTV is 112°, this means that ∠WTV is 68° because 180-112 is 68°.
Now that we know ∠WTV is 68°, we can use the basic trigonometric ratios to solve for VW. VW is the side opposite ∠WTV. We also know the hypotenuse. So, we would use sine. Recall that:
[tex]\sin(\theta)=opp/hyp[/tex]
Plug in 68° for theta, VW for the opposite, and 15 for the hypotenuse:
[tex]\sin(68)=VW/15\\VW=15\sin(68)\\VW\approx13.9078\approx13.9[/tex]
commander wished to arrange his 8,000 soldiers in the form of a square how many more will be required to complete the square
Answer:
100
Step-by-step explanation:
Hello,
We are looking for the surrounding perfect squares.
[tex]\sqrt{8000}=89.44272...[/tex]
so
[tex]7921=89^2< 8000<90^2=8100[/tex]
So we need 100 more soldiers to form a perfect square.
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
How many prime positive integers are divisors of 555?
Answer:
1,3,5,15,37,111,185,555
Step-by-step explanation:
8 total
Answer:Answer: Did you get helped on this one?
Step-by-step explanation:okay yup yup have a good ONE
What is the reason for statement 3 in this proof?
Answer:
d
Step-by-step explanation:
Answer: E definition of midpoint
Step-by-step explanation:
Correct on Plato
Describe each polynomial expression by type and components based on the example
shown.
3x² + 2x
2x²–5x+3
• 6x
Answer:
The first 3x^2 + 2x is a second degree polynomial, so it's a quadratic binomial (2 terms). The second 2x^2 - 5x + 3 is a second degree trinomial (3 terms), and the third is a monomial (1 term). Not sure if that's what you were looking for.
Step-by-step explantion:
What is the surface area of the box if it is scaled up by a factor of 10? Boxes Dimensions 7in Height 6in Length 2in Width
Answer:
13,600 [tex]in^{2}[/tex]
Step-by-step explanation:
(h = 7, l = 6, w = 2) 10
70, 60, 20
2(h × w) + 2(h × l) + 2(w × l)
= 2(70 × 20) + 2(70 × 60) + 2(20 × 60)
= 2(1400) + 2(4200) + 2(1200)
= 2800 + 8400 + 2400
= 13,600
a circular garden has a diameter of 6 yards.What is the area of the garden. Use 3.14
Answer:
28.26 yd^2
Step-by-step explanation:
A = 3.14 • r^2
Radius is half of the diameter, so 3.
A = 3.14 • 3^2
A = 3.15 • 9
A = 28.26 yd^2
Answer: The area of the garden is 28.26
Step-by-step explanation:
1. Divide the diameter in half, that gives you the radius, in this case: 3
2. Use the formula for finding the area with the radius: A= π r², and use 3.14 instead of pi. Multiply 3.14 by 3²
3. You should get 28.26 as your answer.
Find the probability of rolling a three first and then a ten when a pair of dice is rolled twice
Answer:
1/216
Step-by-step explanation:
When a pair of dice is rolled, there are 36 possible different outcomes.
Of those 36 different outcomes, a sum of 3 is obtained in 2 different ways: 1, 2 and 2, 1.
Of those 36 different outcomes, a sum of 10 is possible in 3 different ways: 6, 4; 5, 5; 4, 6.
p(3 followed by 10) = p(3) * p(10) = 2/36 * 3/36 = 1/18 * 1/12 = 1/216
A rectangle has a perimeter of 35.8 inches and a base of 12.6 inches. What is the height?
Answer:
Height is 5.3 inches.
Step-by-step explanation:
2* base + 2*height = 35.8
2*12.6 + 2h = 35.8
h = (35.8 - 2(12.6) / 2
= (35.8 - 25.2) /2
= 10.6 / 2
= 5.3 inches.
Answer:
5.3inStep-by-step explanation:
The formula of a perimeter of a rectangle:
[tex]P=2(l+w)[/tex]
l - length
w - width
We have
[tex]P=35.8in\\l=12.6in[/tex]
Substitute:
[tex]35.8=2(12.6+w)[/tex] divide both sides by 2
[tex]\dfrac{35.8}{2}=\dfrac{2(12.6+w)}{2}[/tex]
[tex]17.9=12.6+w[/tex] subtract 12.6 from both sides
[tex]17.9-12.6=12.6-12.6+w\\\\5.3=w\to w=5.3\ (in)[/tex]
What does it mean to say that a data point has a residual of -1?
A. The point lies 1 unit above the regression line.
B. The point lies directly on the regression line.
C. The point lies 1 unit below the regression line.
O D. The predicted value for that point is -1.
I'm sorry if it's wrong but i think it's C.
Answer:
C. The point lies 1 unit below the regression line.
Step-by-step explanation:
A residual is calculated by doing the true value minus the predicted value. For instance, if a point's true value is 5, but the predicted value is 3, the residual of the point will be 5 - 3 = 2.
The regression line is the line of predicted values. So, if a data point has a residual of -1, that means that the predicted value overpredicted the point's value. So, the point will lie C. 1 unit below the regression line.
Hope this helps!
Mr. Martin is giving a math test next period. The test, which is worth 100 points, has 29 problems. Each problem is
worth either 5 points or 2 points. Write a system of equations that can be used to find how many problems of each
noint value are on the test
Let X be the number of questions worth 5 points, and let Y be the number of questions worth 2 points
(Answers are in the picture)
Answer:
x + y = 29
5x + 2y = 100
Step-by-step explanation:
Has 29 problems
then
x + y = 29
x be the number of worth 5 points questions:
5x
y be the number of worth 2 points questions
2y
the total both worth is 100 points
then:
5x + 2y = 100
Answer:
x + y = 29 5x + 2y = 100
Answer:
answer in picture
Step-by-step explanation:
g(x)=x2+4 make a table of values
Answer:
Step-by-step explanation:
You can make a table of values by plugging in values to x^2+4.
If x=1 the answer is 5
If x=2 the answer is 8
If x=3 the answer is 13
If x=4 the answer is 20
If x=5 the answer is 25.
And we have a table of values!
the diagram above shows a rectangle inscribed in a circle AB=10 and AC =12 caculate the total surface area of the shaded part
Answer:
[tex]71.63 \: \: \mathrm{cm^2 }[/tex]
Step-by-step explanation:
Once we know the diameter of the circle, we can figure out the problem.
The diameter of the circle = The diagonal of the rectangle inscribed in the circle
To find the diagonal of the rectangle, we can use a formula.
[tex]d=\sqrt{w^2 + l^2}[/tex]
The width is 10 cm and the length is 12 cm.
[tex]d=\sqrt{10^2 + 12^2}[/tex]
[tex]d \approx 15.62[/tex]
The diagonal of the rectangle inscribed in the circle is 15.62 cm.
The diameter of the circle is 15.62 cm.
Find the area of the whole circle.
[tex]A=\pi r^2[/tex]
The [tex]r[/tex] is the radius of the circle, to find radius from diameter we can divide the value by 2.
[tex]r = \frac{d}{2}[/tex]
[tex]r=\frac{15.62}{2}[/tex]
[tex]r=7.81[/tex]
Let’s find the area now.
[tex]A=\pi (7.81)^2[/tex]
[tex]A \approx 191.625[/tex]
Find the area of rectangle.
[tex]A=lw[/tex]
Length × Width.
[tex]A = 12 \times 10[/tex]
[tex]A=120[/tex]
Subtract the area of the whole circle with the area of rectangle to find area of shaded part.
[tex]191.625-120[/tex]
[tex]71.625 \approx 71.63[/tex]
These tables of values represent continuous functions. In which table do the
values represent an exponential function?
Answer:
did you have more
Step-by-step explanation:
Answer: i’ll attach the tables that my quiz had and if they’re the same tables that your quiz has then you can use this answer! but the answer is C. x | y
1 | 2
2 | 6
3 | 18
4 | 54
5 | 162
Step-by-step explanation:
every y-value can be multiplied by 3 to get the next y-value. also this answer is reliable because i got a 100 on my quiz on this! but here are the tables that were on my quiz:
Fred Salmon purchased six $1,000 bonds at 92. The bonds pay 6.5%.
7
What was the cost of the bonds?
What was the total annual interest?
What is the yield?
Answer:
if he bought 6 bonds at $1,000 each, then 6*1000
Step-by-step explanation:
if the interest is 6.5%, then the annual interst is also 6.5%
Answer:
6.5% should be the answer of annual
Tristan wants to buy a car and has a choice between two different banks. One bank is offering a simple interest rate of 3% and the other bank is offering a rate of 2.5% compounded annually. If Tristan decides to deposit $7,000 for 4 years, which bank would be the better deal? 1. a simple interest rate of 3% 2. a compound interest rate of 2.5%
Answer:
The bank offering simple interest at rate of 3% for four years
Step-by-step explanation:
Hello,
To find out which deal would be better, we have to find how much accrued on the simple and compound interest.
Data;
Principal (P) = $7,000
Time = 4 years
Simple interest rate = 3%
S.I = PRT / 100
S.I = (7000 × 3 × 4) / 100
S.I = $840
In four years, he would have $7000 + $840 = $7840.
For compound interest,
C.I = P(1 + r/n)^nt
Where n = number of time compounded = 1 (since it's annually)
rate = 2.5% = 2.5/ 100 = 0.025
C.I = 7000(1 + 0.025/1)⁽¹*⁴⁾
C.I = 7000 (1 + 0.025)⁴
C.I = 7000×(1.025)⁴
C.I = 7000 × 1.1038
C.I = $7726.6
In four years he would have $7,726.6
After calculating and evaluating both option, it's advisable for him to select the bank offering a simple interest of 3% for four years
Solve the following proportion. x−2=57 x=?
Answer:
x = 59
Step-by-step explanation:
x−2=57
Add 2 to each side
x−2+2=57+2
x = 59
Answer:
X=59
Step-by-step explanation:
x−2=57
to isolate X you would have to add 2 to each side. x-2(+2)=x and 57(+2)=59
TRUE OF FALSE : -2 > 6
Answer: False for sure
Answer:
[tex]\boxed{\mathrm{False}}[/tex]
Step-by-step explanation:
[tex]-2<6[/tex]
-2 is less than 6.
6 is a greater value than -2.
Answer with steps!... Thanks
Answer:
A) False
B) True
Step-by-step explanation:
For A) First let's do x/11 = 15. If you solved it by now, you will know that the answer is 0.7333333. So now you just do 11x15. Because the answer is different then the answer we got when doing the division, the answer for A is false
For B) B is definitely true because equation are any mathematical sentences that have an equation symbol. So it's like saying 8x3=24 and 6x4=24. These two equations end up with the same answer so B is true.
I hope this helped you find out the rest :)
Solve the following equation for x . 9=x2+2
Answer:
X=3.5
Step-by-step explanation:
9=x2+2
9-2=x2
(9-2)÷2=x
What will be the sign of the product if we multiply together 199 negative and 10 positive integers?
How many seconds will elapse between seeing lightning and hearing the thunder if the lightning strikes 5.0 mi (26,400 ft) away and the air temperature is 83.6°F?
Answer:
Time taken = 23.10 sec (Approx)
Step-by-step explanation:
Given:
Distance of lighting = 5 mi = 26,400 ft
Air temperature =83.6°F = 28.67°FC
Computation:
Speed of the sound
V = 331 + 0.61 × T
V = 331 + 0.6 × 28.67
V = 348.202 m/s
Distance = 5 mi = 8,046.72 m
Time taken = Distance / Speed
Time taken = 8,046.72 / 348.202
Time taken = 23.10 sec (Approx)
What is the difference of the rational expression below?
3x/x+1 - 5/x
Answer:
3x%x+1-5/5
3× 5x
Step-by-step explanation:
3x-5x
35yx 53yx
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
-2
Step-by-step explanation:
when setting up the synthetic division
it starts with -1(2) = -2
Anybody can I know is this the working and the answer are right? If any wrong plssss tell me..
Answer:
[tex]\boxed{Domain = \{3,6,9\}}[/tex]
[tex]\boxed{Range = \{9,18\}}[/tex]
Step-by-step explanation:
The relation is:
=> {(3,9)(3,18)(6,18)(9,18)}
Domain => x inputs of the ordered pair
Domain = {3,6,9}
Range => y inputs of the ordered pair
Range = {9,18}
What is the smallest value of x that satisfies the equation 8x^2 - 38x + 35 = 0? Express your answer as a decimal.
Answer:
1.25
Step-by-step explanation:
8x² -38x + 35 = 0
8x² - 10x - 28x + 35 = 0
2x(4x - 5)-7(4x - 5) = 0
(4x−5)(2x−7) = 0
4x - 5 = 0 or 2x - 7 = 0
x = 5/4 or x = 7/2
x = 1.25 or 3.5
Smallest value being = 1.25
WILL MARK BRAINLIEST!!! PLZ HELP!!!
Answer:
x= -5
Step-by-step explanation:
The solution of f(x) = g(x) is where both functions intercept
they intercept in x = -5
3. The ratio of the number of male and female teachers in a school is 2 : 11. If the
number of male teachers is 112, find the number of female teachers.
Answer:
the number of female teachers is 616
Step-by-step explanation:
male 2: 112
Female 11 : x
now you want to find x which is the number of female teachers
multiply 11 with 112 and 2 with x
11 x 112= 2x
divide 2
1 232 = 2x/2
616 = x
Hope that help :)