Answer:
4 is the largest number that is common to both 32 and 44. Factoring it out looks like this: 4(8 + 11) = 4(8 + 11). That's weird to me but all textbooks begin that process just that same way.
Step-by-step explanation:
Greatest common factor of 32 and 44 is 4:
32/4 = 8
44/4 = 11
Factor 4 out of the equation 32 + 44 =
The factored form would be 4(8 + 11)
Acellus
Find the value of x that will make
L||M.
2+5
x-5
--
X -
- [?]
Answer:
x = 60
Step-by-step explanation:
L // M
Sum of co-interior angles = 180
2x + 5 + x - 5 = 180
Add the like terms
3x + 0 = 180
3x = 180
Divide both sides by 3
3x/3 = 180/3
x = 60
Brandybuck Insurance Company (BIC) is deciding whether to insure the lives of those leading a quest to Moria. Based on past experience, the probability of surviving such a quest is 85.4%. If BIC charges a premium of 5,533 silver coins and would pay a death benefit of 59,086 silver coins if the insured were to die, what is the expected value of this insurance policy to BIC?
Round to the nearest silver coin as needed. If the expected value is a loss to BIC, enter your answer as a negative number.
Answer:
-3901 silver coins (a loss)
Step-by-step explanation:
Probability of surviving the quest = 85.4% (Gain of 5,533 silver coins.)
If the insured were to die, the insurance company would pay a death benefit(incur a loss) of 59,086 silver coins.
Therefore:
The probability of not surviving the quest = 100%-85.4% =14.6%
Therefore, the expected value of this insurance policy to the insurance company
[tex]=(5,533 X 85.4\%)+(-59,086 X 14.6\%)\\=(5,533 X 0.854)+(-59,086 X 0.146)\\=-3901.37\\\approx -3901$ silver coins[/tex]
The expected value of this insurance policy to BIC is -3901 silver coins
The expected value of this insurance policy to BIC is -3901 silver coins (a loss)
Calculation of the expected value:Since st to Moria. Based on past experience, the probability of surviving such a quest is 85.4%. If BIC charges a premium of 5,533 silver coins and would pay a death benefit of 59,086 silver coins
So here the expected value is
= 85.4% of 5,533 + (14.6% of -59,086)
= -3901
Hence, The expected value of this insurance policy to BIC is -3901 silver coins (a loss)
Learn more about policy here: https://brainly.com/question/10189250
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.
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°
pleaseeeeeeeeeeeeeee hellllllllllllp pleaseeeeee helpppppp
Last year, 1,345 bicyclists showed up to the bicycle race. This year, only 690 bicyclists showed up. Write the ratio of the number of bicyclists that showed up to the bicycle race for the past two years.
Answer:
138 : 269
Step-by-step explanation:
Last year, the number of bicyclists that showed up was 1345.
This year, there were 690 bicyclists.
The ratio of the number of bicyclists that showed up for the past two years is the ratio of those that showed up this year to those that showed up last year:
690 : 1345
Let us put it in simplest terms:
138 : 269
assume the graph of a function of the form y=asin(k(x+b)) is given below. which of the following are possible values for a, k, and b?
Answer:
C
Step-by-step explanation:
Okay, here we have the equation of the sine wave as;
y = asin(k(x + b))
By definition a represents the amplitude
k represents the frequency
b represents the horizontal shift or phase shift
Now let’s take a look at the graph.
By definition, the amplitude is the distance from crest to trough. It is the maximum displacement
From this particular graph, amplitude is 4
K is the frequency and this is 1/period
The period ;
Firstly we find the distance between two nodes here and that is 1/2 from the graph (3/4 to 1/4)
F = 1/T = 1/1/2 = 1/0.5 = 2
b is pi/4 ( phase is positive as it is increasing rightwards)
So the correct option here is C
Answer: it is
a=4, k=2, and b= pi/4
Step-by-step explanation:
got it right on A P E X
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 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: ___?
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
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!
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.
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
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
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
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°
Which expression gives the solutions to the equation 2x^2 + 5x – 10 = 0?
Answer:
D.
Step-by-step explanation:
The formula to find the solutions of a quadratic equation is -b plus or minus the square root of b^2 - 4ac divided by 2a. In this case, a = 2, b = 5, and c = -10.
[tex]\frac{-b +-\sqrt{b^2 - 4ac} }{2a}[/tex]
= [tex]\frac{-5 +-\sqrt{5^2 - 4*2*-10} }{2 * 2}[/tex]
So, the right answer should be the choice on the lower right corner.
Hope this helps!
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.
? 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
Eldrick is using the dot plots to compare two sets of data. Both plots use the same number line. What is the difference between the mean of each data set?
Answer:
15
Step-by-step explanation:
mean means add all the numbers and divide them by how many there are
plot 1: 63 divided by 9 equals 7
plot 2: 330 divided by 15 equals 22
so now we need to subtract 22 minus 7 equals 15
hope this helps
Answer:
15
Step-by-step explanation: you have to add all of the numbers and then divide the answer by the number of numers you added
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..
HELP ASAP, PLEASE!!!!
Answer:
Fraction = 5/10 = 1/2
Decimal = 0.5
Step-by-step explanation:
Answer:
fraction-5/10 decimal-0.5
plz give brainiest
Step-by-step explanation:
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)
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:
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
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
Work out
(8 x 1011) : (4 x 1017
Give your answer in standard form.
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!
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
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