Answer:
Here are some rational numbers less than 5:
4, 4.2, -3, 0, 1/10, -5/16
A rational number is a number than can be written as a fraction of integers.
Answer:
rational numbers below 5 are 4,3,2,1,-1,-2,-3,-4 e.t.c
Q2.
If ε={1, 2, 3, 4,………….., 10} and
A = Set of even numbers between 1 and 10.
B = Set of odd numbers between 1 and 10
C = Set of prime numbers between 1 and 10
(i)
List down the elements of sets A, B and C.
(ii)
List down the number of elements in sets A, B and C.
(iii)
Find AUC.
(iv)
Find BC.
(v)
Find AC
Answer:
hope its helpful to uh....
Orion is working with a data set that compares the outside temperature, in degrees Celsius, to the number of gallons of ice cream sold per day at a local grocery store.
The data has a line of best fit modeled by the function f(x) = 3x + 4 . Orion determines that when the temperature is 25∘C, the store should sell about 79 gallons of ice cream. The correlation coefficient of the data is 0.39.
Explain how accurate Orion expects the prediction to be.
Answer: kindly check Explanation.
Step-by-step explanation:
The function f(x) = 3x + 4 is a linear regression model. Orion's prediction was obtained by Substituting 25 for x to obtain the predicted variable
f(25) = 3(25) + 4 = 75 + 4 = 79.
However, with a correlation Coefficient of 0.39, which is a numerical value of range - 1 to +1 and is used to measure the statistical relationship between the dependent variable (number of gallons of ice-cream sold per day) and the independent variable (temperature).
The closer the correlation Coefficient (r) value is to +1 or - 1, the stronger the degree of correlation. Positive r values depicts positive relationship while negative r values depicts negative relationship. The closer the r value is to 0. The weaker the relationship and a r value of means there is no Relationship exists between the two variables.
With a correlation Coefficient of 0.39, we can Infer that that only a moderate positive relationship exists between temperature and gallons of ice cream sold per day.
How many ways are possible to choose 3 days out of February? NOTE: Use 28 days for the number of days in February. A) 3276 B) 378 C) 20475 D) 2925
Answer:
A) 3,276 ways.
Step-by-step explanation:
In this case, choosing February 1, February 12, and February 20 would be the same thing as choosing February 12, February 1, and February 20. So, since order does not matter, we will use a combination to solve the question.
The formula for combinations is...
n! / [r!(n - r)!], where n = the number of days in February (28) and r = the number of days you are choosing (3).
28! / [3! * (28 - 3)!]
= 28! / (6 * 25!)
= (28 * 27 * 26) / 6
= (14 * 9 * 26) / 1
= 14 * 9 * 26
= 126 * 26
= A) 3,276.
Hope this helps!
I am being timed pls asap
Answer:
Writing it in matrix form
- 2 - 4 - 5 - 155
1 1 6 101
2 2 - 3 37
I hope this helps you
pleaseeeeeeeeeeeeeee hellllllllllllp pleaseeeeee helpppppp
Please answer this question now
Answer:
m < S = 55°
Step-by-step explanation:
Based on tangent theorem, a tangent line is said to be perpendicular to a radius of a circle when they intercept. The point at which they meet is said to be at 90°.
Therefore, in the ∆PQS, given, m < P = 90°.
m < Q = 35°
m < S = 180° - (90° + 35°) (sum of the angles in a triangle)
m < S = 180° - 125°
m < S = 55°
Priscilla has three cups of apples left. She wants to use them in another fruit salad.
How would she find out how much of the other fruits she needs to use up the
remaining apples?
Answer:
To use up the remaining 3cups of apples, she would need 3cups of oranges, 12cups of strawberries, 6cups of cherry and 9 cups of grape.
Step-by-step explanation:
This is a continuation of the question on the recipe for making salad. The initial recipe from her grandmother is stated below (found on brainly, ID 6786167).
The fruit salad recipe calls for one part apple, one part orange, four parts strawberry, two parts cherry, and three parts grape.
Priscilla uses the same measuring cup to measure all of the fruit, so one part is equal to one cup of diced fruit.
Number of cups required for each fruit in the original recipe:
apple = 1 cup , orange = 1 cup, strawberry = 4cups, cherry = 2cups, grape = 3cups
Original ratios of the cup of fruit respectively = 1:1:4:2:3
Total number of cups required in the original recipe: 1+1+4+2+3 = 11 cups
Now for this question, 3 cups of apples are remaining. And we want to find number of other fruits she needs in order to use up the remaining apples.
To do this we would use the ratios of the cup of fruit.
When we had 1 apple, the ratio was = 1
Now we have 3apples, the new ratio = 3×original ratio
=3×1 = 3
This means we would multiply each of the fruit ratios by 3
For orange, new ratio = 3×1 = 3
For strawberries, new ratio = 3×4 = 12
For cherry, new ratio = 3×2 = 6
For grape, new ratio = 3×3 = 9
To use up the remaining 3cups of apples, she would need 3cups of oranges, 12cups of strawberries, 6cups of cherry and 9 cups of grape.
Answer:
Priscilla uses one part orange, four parts strawberry, two parts cherry, and three parts grape for every one part apple. So, to use three times the quantity of apples, she will have to use three times the quantity of the other fruits as well. She needs three parts orange, twelve parts strawberry, six parts cherry, and nine parts grape for three parts apple.
Step-by-step explanation:
plato/edmentum answer
Anya graphed the line (y−2)=3(x−1) on the coordinate grid. A coordinate plane with a line passing through the points, (negative 2, negative 7), (0, negative 1), and (1, 2). What is the slope of Anya’s line? −3 −1 1 3
Answer:
Slope of Anya's line is m = 3
Step-by-step explanation:
Explanation:-
Given Anya graphed the line
(y−2)=3(x−1)
we know that slope intercept form is
y = mx +c
now given Anya line
y−2=3(x−1)
⇒ y - 2 = 3x - 3
⇒ y = 3x - 3 + 2
⇒ y = 3 x - 1
Comparing slope -intercept form
y = mx +c
slope of Anya's line is m = 3 and y-intercept C = -1
Answer:
M=3
Step-by-step explanation:
Hope this helps!
Please help! It is Geometry
Answer:
X=20; pqr = 130°
Step-by-step explanation:
They key here is to notice that the instructions say that qs bisects pqr, meaning that it evenly cuts it into 2 pieces. So, to find x, you just solve for x in the equation 3x+5=2x+25. Then, you plug it back into either side of the equation, at which point, you should get 65. Since it is half of pqr, just double it to get your final answer of 130°
Built in 2011, the capital gate tower is 150 meters tall (measured vertically from the ground) and makes a 72 degree angle with the ground. If you were to climb to the top and then accidentally drop your keys, how far from the base of the tower would they land?
Answer:
Step-by-step explanation:
You can create a right triangle out of this information and then use right triangle trig to solve.
We are given the height of the triangle as the height of the tower which is 150m.
We are given the angle of inclination as the degree the tower makes with the ground which is 72.
From the angle of 72 degrees, which is also known as the reference angle, we have the side across from it (the height) and we are looking for the side adjacent to it (how far from the base of the tower the keys will land). Side opposite the reference angle over side adjacent to the reference angle is the tangent ratio:
[tex]tan(72)=\frac{150}{x}[/tex] and, solving for x,
[tex]x=\frac{150}{tan(72)}[/tex]
Make sure your calculator is in degree mode to solve this. Divide 150 by the tan(72) and find that
x = 48.7 m
Find the the perimeter of triangle JKL
Answer:
60
Step-by-step explanation:
Tangents to a circle from a common external point are congruent, thus
JA = JB = 6
AL = KC = 11
CK = KB = 13
Thus
perimeter = 2(6) + 2(11) + 2(13) = 12 + 22 + 26 = 60
The perimeter of a triangle JKL is 60 units. Therefore, option D is the correct answer.
What is tangent property of a circle?A Tangent of a Circle is a line that touches the circle’s boundary at exactly one point. The tangential point is the place where the line and the circle meet. The lengths of tangents drawn from an external point to a circle are equal.
Given that,
Given that, JK, KL and LJ are all tangent to O. JA=6, AL=11 and CK=13.
In the figure,
From the external point J, tangents JA=JB
JB=6
From the external point L, tangents AL=LC
LC=11
From the external point K, tangents KB=KC
BK=13
So, JL=JA+LA
JL=6+11=17
LK=LC+CK
= 11+13
= 24
JK=JB+KB
= 6+13
= 19
Now, the perimeter is JL+LK+JK
= 17+24+19
= 60 units
Therefore, option D is the correct answer.
Learn more about the tangent of a circle here:
https://brainly.com/question/27009841.
#SPJ3
The tables for f(x) and g(x) are shown below.
х
f(x)
-11
-5
-2
1
1
13
5
29
х
-5
g(x)
-7
-1
-2
1
5
5
13
What is the value of (f-9)(5)?
Answer:
16
Step-by-step explanation:
(f - g)(5) = f(5) -g(5)
From the tables, ...
f(5) = 29
g(5) = 13
Your desired function is ...
f(5) -g(5) = 29 -13 = 16
Trig work that i don’t understand. pls help
Answer:
B. 642.22 units squared
Step-by-step explanation:
Knowing that QP ║ MN and ∠QLP = ∠MLN, then ΔQLP ~ ΔMLN.
That means corresponding sides and heights have the same ratios.
We know that QP = 25, which corresponds to MN = 34. Also, the height of ΔQLP, LS, corresponds to the height of ΔMLN, LR = LS + SR = LS + 10. Let's say LS = x.
We can now write:
QP / MN = LS / LR
25 / 34 = x / (x + 10)
Cross-multiply:
34 * x = 25 * (x + 10)
34x = 25x + 250
34x - 25x = 250
9x = 250
x = 250/9 ≈ 27.78 units
So, LS = 27.78 units and LR = LS + SR = 27.78 + 10 = 37.78 units.
The area of a triangle is denoted by A = (1/2) * b * h, where b is the base and h is the height.
Here, the base of ΔLMN is MN = 34, and the height is LR = 37.78. Plug these in:
A = (1/2) * b * h
A = (1/2) * 34 * 37.78 ≈ 642.22 units squared
The answer is thus B.
~ an aesthetics lover
Fred is making two rectangular flower beds.
The dimensions of the larger rectangle will be three times the dimensions of the smaller
rectangle.
There is going to be the same depth of soil in each flower bed.
Fred needs 180 kg of soil for the smaller flower bed.
Work out how much soil Fred needs for the larger flower bed.
Answer:
1620 kgSolution,
Let the length and breadth of smaller rectangle be l and b.
Length and breadth of larger rectangle be 3L and 3 b.
Besides, depth is same in both beds.
As area of small rectangle=180
Area of larger rectangle:
[tex]3l \times 3b \\ = 9lb \\ = 9 \times 180 \\ = 1620 \: kg[/tex]
Hope this helps..
Good luck on your assignment..
The volume of a right circular cone with both
2507
diameter and height equal to his What is the
3
value of h?
A) 5
B) 10
C) 20
D) 40
Question:
The volume of a right circular cone with both diameter and height equal to h is 250/7 cm³.
What is the value of h?
Answer:
A. 5
Step-by-step explanation:
Given
Solid Shape: Cone
Volume = 250/7
Diameter = Height
Required
Find the height of the cone
Provided that the diameter (D) and the height (h) are equal; This implies that
D = h ------ (1)
Also, Diameter (D) = 2 * Radius (r)
D = 2r
Substitute 2r for D in (1)
2r = h
Multiply both sides by ½
½ * 2r = ½ * h
r = ½h
Volume of a cone is calculated by;
Volume = ⅓πr²h
⅓πr²h = 250/7
Substitute ½h for r
[tex]\frac{1}{3} * \pi * (\frac{1}{2}h)^2 * h = \frac{250}{7}[/tex]
Take π as 22/7, the expression becomes
[tex]\frac{1}{3} * \frac{22}{7} * (\frac{1}{2}h)^2 * h = \frac{250}{7}[/tex]
Open the bracket
[tex]\frac{1}{3} * \frac{22}{7} * \frac{1}{4}h^2 * h = \frac{250}{7}[/tex]
Multiply both sides by 7
[tex]7 * \frac{1}{3} * \frac{22}{7} * \frac{1}{4}h^2 * h = \frac{250}{7} * 7[/tex]
[tex]\frac{1}{3} * 22 * \frac{1}{4}h^2 * h = 250[/tex]
Multiply both sides by 3
[tex]3 * \frac{1}{3} * 22 * \frac{1}{4}h^2 * h = 250 * 3[/tex]
[tex]22 * \frac{1}{4}h^2 * h = 750[/tex]
Multiply both sides by 4
[tex]4 * 22 * \frac{1}{4}h^2 * h = 750 * 4[/tex]
[tex]22 * h^2 * h = 3000[/tex]
[tex]22 * h^3 = 3000[/tex]
Divide both sides by 22
[tex]h^3 = \frac{3000}{22}[/tex]
[tex]h^3 = 136.36[/tex]
Take cube root of both sides
[tex]h = \sqrt[3]{136.36}[/tex]
[tex]h = 5.15[/tex]
[tex]h = 5[/tex] (Approximated)
Work out
(8 x 1011) : (4 x 1017
Give your answer in standard form.
how do u find rate of change on a graph
Step-by-step explanation:
The correct answer is the vertical change divided by the horizontal change between two points on a line. We can find the slope of a line on a graph by counting off the rise and the run between two points. If a line rises 4 units for every 1 unit that it runs, the slope is 4 divided by 1, or 4.
Answer:
Calculate the rise over the run/the change in y over the change in x
Step-by-step explanation:
In order to find the rate of change on a graph from a slope, you need to look at how many units up and how many units to the right. Find a solid point on the graph for both the x and y directions. Count how many units go up and how many go right. Divide how many units go up by how many go to the right and that is the rate of change on the graph.
31.7+42.8+26.4+x/4=39.1 100.9+x/4
31.7 + 42.8 + 26.4 + x/4 = 39.1
Add up all the plain numbers on the left side:
100.9 + x/4 = 39.1
Subtract 100.9 from each side:
x/4 = 39.1
Multiply each side by 4:
x = 156.4
Answer:
Step-by-step explanation:
To solve this, we have to first find the sum of each of the terms on the numerator of the fraction on the right:
31.7 + 42.8 + 26.4 + x = 100.9 + x
The sum of terms ind the numerator of the fraction on the right.
39.1 + 100.9 + x= 140 + x
Next step is to cancel out the denominators as they are equal.
Now we are left with
100.9+x = 140+x
Rearrange and solve
To get x = 156.4
What are the roots of the function y = 4x2 + 2x - 30?
To find the roots of the function, set y = 0. The equation is 0 = 4x2 + 2x - 30.
Factor out the GCF of
Next, factor the trinomial completely. The equation becomes
Use the zero product property and set each factor equal to zero and solve.
The roots of the function are
Answer:
-3, 5/2
Step-by-step explanation:
What are the roots of the function y = 4x2 + 2x – 30?
To find the roots of the function, set y = 0. The equation is 0 = 4x2 + 2x – 30.
Factor out the GCF of : 2, so the equation becomes 0 = 2(2x2+x-15)
Next, factor the trinomial completely. The equation becomes: 0=2(x+3)(2x-5)
Use the zero product property and set each factor equal to zero and solve.
x+3=0 2x-5 = 0
x = -3, 5/2
The roots of the function are -3, 5/2.
Hope this helped!
The roots of the function y = 4x² + 2x - 30 are -3, 5/2 after using the zero product property.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have:
y = 4x² + 2x - 30
To find the roots of the quadratic equation plug y = 0
4x² + 2x - 30 = 0
4x² + 12x - 10x - 30 = 0
4x(x + 3) - 10(x + 3) = 0
(x + 3)(4x -10) = 0
x + 3 = 0 or 4x - 10 = 0
x = -3 or x = 10/4 = 5/2
Thus, the roots of the function y = 4x² + 2x - 30 are -3, 5/2 after using the zero product property.
Learn more about the function here:
brainly.com/question/5245372
#SPJ2
If f(x) =x/2+8, what is f(x) when x=10
Answer:
f(10) =13
Step-by-step explanation:
f(x) =x/2+8,
Let x = 10
f(10) =10/2+8,
= 5+8
= 13
The area of a rectangular garden is given by the quadratic function:A(x)=-6x^2+105x-294A . Knowing that the area, length, and width all must be a positive value puts restrictions on the value of x. What is the domain for the function? Explain how you determined the domain. For what value of x, produces the maximum area? What is the maximum area of the garden? What is the Range of the function? Explain how you determined the range? What value(s) of x produces an area of 100 square units?
Answer and Step-by-step explanation:
The domain of a function is the values the invariable can assume to result in a real value for the variable. In other words, it is all the values x can be.
Since it's related to area, the values of x has to be positive. The domain must be, then:
[tex]-6x^{2} + 105x - 294 = 0[/tex]
Solving the second degree equation:
[tex]\frac{-105+\sqrt{105^{2} - 4(-2)(-294)} }{2(-6)}[/tex]
x = 3.5 or x = 14
The domain of this function is 3.5 ≤ x ≤ 14
The maximum area is calculated by taking the first derivative of the function:
[tex]\frac{dA}{dx} = -6x^{2} + 105x - 294[/tex]
A'(x) = -12x + 105
-12x + 105 = 0
-12x = -105
x = 8.75
A(8.75) = [tex]-6.8.75^{2} + 105.8.75 - 294[/tex]
A(8.75) = 165.375
The maximum area of the garden is 165.375 square units.
The Range of a function is all the value the dependent variable can assume. So, the range of this function is: 0 ≤ y ≤ 165.375, since this value is the maximum it will reach.
A(x) = 100
[tex]100 = -6x^{2} + 105x-294[/tex]
[tex]-6x^{2} + 105x - 394 = 0[/tex]
Solving:
[tex]\frac{-105+\sqrt{105^{2}-4(-6)()-394} }{2(-6)}[/tex]
x = 5.45 or x = 12.05
The values of x that produces an area of 100 square units are 5.45 and 12.05
The perimeter of a rectangular garden is 168 feet. If the length of the garden is 6 feet more than twice the width, what is the length of the garden? Length = 52.5 feet Length = 54 feet Length = 58 feet Length = 48 feet
Answer:
Length= 58
width= 26
Step-by-step explanation:
If f(x) = 3x - 5 and g(x) = 7x + 2, what is f(x) x g(x)
Answer:
21x + 1
Step-by-step explanation:
f[g(x)]
= f(7x + 2)
= 3(7x + 2) - 5
= 21x + 6 - 5
= 21x + 1
? of 72 = 45 (answer in fraction)
Answer:
5/8
Step-by-step explanation:
72 = 16/10 of 45
45 = 10/16 = 5/8 of 72
Your bank has two checking account options, one pays tax-free interest at a rate of 3% per annum and the other pays taxable interest at a rate of 4.5% per annum. You are currently in a 24% marginal tax bracket. If you converted the tax-free interest rate to the comparable taxable interest rate you would find that:
Answer:
The comparable tax rate is 3.95%, thus you should choose the 4.5% taxable account option.
Step-by-step explanation:
In order to convert the tax-free interest rate of 3% per year to the comparable taxable interest rate, one should consider that 3% is the interest rate after the marginal tax discount. If you are at the 24% marginal tax bracket, the comparable rate is:
[tex]r*(1-0.24)=0.03\\r=\frac{0.03}{0.76}\\r=0.0395\\r=3.95\%[/tex]
The comparable tax rate is 3.95%, thus you should choose the 4.5% taxable account option.
The comparable tax rate is 3.95%, so you should choose the 4.5% taxable account option.
calculation of the comparable tax rate:Since the rate is 3% per annum, the other rate should be 4.5% and there is tax rate of 24%
So,
rate (1 - 24%) = 3%
rate = 3.95%
Learn more about the rate here: https://brainly.com/question/13021566
The sum of the digits of a two-digit number is 5. If nine is subtracted from the number, the digits will be reversed. Find the number. Also, If the tens digit is x, then the equation is: ___?
Write an equation in slope-intercept form of the line that passes through (-3,3) and (1,2)
Answer:
y = -1/4x + 9/4
Step-by-step explanation:
Slope-intercept form: y = mx + b
m = slope
b = y-intercept
Slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
3-2/-3-1
Slope = [tex]-\frac{1}{4}[/tex]
In this problem, to find the y-intercept [tex]y-y_1 = m (x-x_1)\\[/tex].
y-3 = -1/4 (x+3)
y= -1/4x + 9/4
Answer:
yoo
Step-by-step explanation:
THIS IS A WHOLE PAGE ITS FOR 40 points MIDDLE SCHOOL PLEASE HELP
Answer:
the leanth of the track is 1/2 miles long.
Step-by-step explanation:
Im sorry that i couldn't complete all the questions, I had a family thing to go to so sorry.
Q3. Ishah spins a fair 5-sided spinner. She then throws a fair coin.
(i) List all the possible outcomes she could get. The first one has been done for you.
(1, H)
(ii) Ishah spins the spinner and tosses the coin.
Work out the probability that she will get a 2 and a head.
Answer:
see below
Step-by-step explanation:
1.
1, H - 2, H - 3, H - 4, H - 5, H
1, T - 2, T - 3, T - 4, T - 5, T
2.
2,H is one out of 10 possible outcomes, so the probability is 1/10
PLEASE HELP IMMEDIATELY
Find x when[tex] - \frac{1}{2} + x = - \frac{21}{4} [/tex]
[tex] - \frac{23}{4} [/tex]
[tex] - \frac{19}{4} [/tex]
[tex] \frac{19}{4} [/tex]
[tex] \frac{23}{4} [/tex]
Answer:
[tex]x = - \frac{19}{4} [/tex]Option B is the correct option.
Step-by-step explanation:
[tex] - \frac{1}{2} + x = - \frac{21}{4} [/tex]
Move constant to R.H.S and change its sign:
[tex]x = - \frac{21}{4} + \frac{1}{2} [/tex]
Take the L.C.M
[tex]x = \frac{ - 21 + 1 \times 2}{4} [/tex]
[tex]x = \frac{ - 21 + 2}{4} [/tex]
Calculate
[tex]x = - \frac{19}{4} [/tex]
Hope this helps...
Good luck on your assignment..
Step-by-step explanation:
-19/4 is the correct answer for your question