Answer:
the answer is d 44/20 44/20
1,784 rounded to the nearest ten
Answer:
1,784=1,780
Step-by-step explanation:
because the tens column is 4,it is not greater than 5 but less than 5.due to this, the 1,784 becomes 1,780 because in this a number less than five will automatically become 0
The answer is 1,780
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The probability that a biased coin will land on Heads is 0.43
Azmol is going to throw the coin 600 times.
Work out an estimate for the number of times the coin will land on Tails.
Answer:
[tex]342[/tex]
Step-by-step explanation:
The probability of heads landing is 0.43.
The probability of tails landing is 1-0.43=0.57.
Azmol throws the coin 600 times, so:
[tex]600 \times 0.57[/tex]
[tex]=342[/tex]
Please help me simplify these expressions
Answer:
Step-by-step explanation:
If base of variable is same, add the powers
1) x² * x * x³ * x⁵ = x²⁺¹⁺³⁺⁵ = x¹¹
2) -2n² * -n⁴ * 5n³ = (-2* -1* 5 ) *n²⁺⁴⁺³ = 10n⁹
3)-3x⁴ * 2x⁵ * - x = (-3 * 2 * -1)* x⁵⁺⁴⁺¹ = 6x¹⁰
Answer:
1. [tex]x^{11}[/tex] 2. 10[tex]n^{9}[/tex] 3. 6[tex]x^{10}[/tex]
Step-by-step explanation:
1. [tex]x^{11}[/tex]
Imagine the expression is written like this:
(x)(x) * (x) * (x)(x)(x) * (x)(x)(x)(x)(x)
Simply add up the number of x's and have that number be the exponent.
There are 11 x's, so it will be [tex]x^{11}[/tex]
2. 10[tex]n^{9}[/tex]
Do the same as above, but this time remember that two negatives equal a positive.
10[tex]n^{9}[/tex]
3. 6[tex]x^{10}[/tex]
Again, two negatives equal a positive.
-3 x 2 x -1 = 6
Do the same as the above two.
6[tex]x^{10}[/tex]
Make K the subject of the formula
[tex]t = \frac{mu {}^{2} }{k} - 5mg[/tex]
Answer:
Step-by-step explanation:
[tex]t = \frac{mu^{2} }{k} -5mg\\kt = mu^{2} -5mg\\k = \frac{mu^{2} -5mg}{t}[/tex]
To make k subject of the fomula :
Step 1 : cross multiply
Step 2 : Divide both side of the equation to isolate k
The solution of the expression for the value of k will be k = (mu² - 5mgk)/t.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
The given expression is t = (mu²)/k - 5mg. The value of the expression for the value of k will be,
The value of k will be written as,
t = (mu²)/k - 5mg
k = (mu² - 5mgk)/t
Therefore, the solution of the expression for the value of k will be k = (mu² - 5mgk)/t.
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What is the solution to this system of equations
Sorry, Please rewrite it again.
can someone do this ???
Wich ratio is equivalent to 4:5
A 10/15
B 4/10
C 16/20
D 15/8
Answer:
16/20
Step-by-step explanation:
4:5
Multiply each side by 4
4*4: 5*4
16:20
16/20
Answer:
The answer is C. 16/20.
Step by step explanation:
This is because if you were to multiply 4 and 5 by 4, you would get 16/20. That means that both ratios are the same. Hope this helps! :)
A lawn mowing company is trying to grow it's buisness. It had 30 clans when it started its buisness and wants to increase by 6 new clients each week. Use ab arithmetic sequence to write a function to represent the real world situation and determine the range of the function for the first four weeks of data.
Answer:
The situation per week is 30 + 6n
where n is the number of weeks
Range of the function is 18 for the first four weeks of data
Step-by-step explanation:
Here, we are to use an arithmetic sequence for a representation.
The first term here is a which is 30 clients while the common difference of d is 6 new clients per week
So we can write the nth term of the sequence as;
Tn = a + (n-1)d
Tn = 30 + (n-1)6
Tn = 30+ 6n -6
Tn = 24 + 6n
where n is the number of weeks
Now for the second week we shall have a total of a+ d clients = 30 + 6 = 36
For the third we have 24 + 6(3) = 24 + 18 = 42
For the fourth, we have 24 + 6(4) = 24 + 24 = 48
Thus the range mathematically means the difference between the highest and lowest for that four weeks = 48-30 = 18
Answer:
A lawn-mowing company is trying to grow its business. It had 18 clients when they started its business and wants to increase by 4 new clients each week.
Use an arithmetic sequence to write a function to represent this real-world situation and determine the range of the function for the first four weeks of data.
f(x) = 4x + 18; 0 ≤ y ≤ 4
Student Friendly Bank pays a simple interest rate of 2.5% per year. Neighborhood Bank pays a compound interest rate of 2.1% per year, compounded monthly.
The question is incomplete:
Student Friendly Bank pays a simple interest rate of 2.5% per year. Neighborhood Bank pays a compound interest rate of 2.1% per year, compounded monthly.
Which bank will provide the largest balance if you plan to invest $10,000 for 10 years? For 20 years?
Answer:
-The bank that provides the largest balance if you plan to invest $10,000 for 10 years is Student Friendly Bank.
-The bank that provides the largest balance if you plan to invest $10,000 for 20 years is Neighborhood Bank.
Step-by-step explanation:
First, you have to calculate the balance if you invest the money in Student Friendly Bank. To do it, you have to use the simple interest formula to calculate the future value:
FV=PV(1+rt)
FV= future value
PV= present value
r= rate
t=time
-10 years:
FV= 10,000(1+(0.025*10))
FV= 10,000(1+0.25)
FV=10,000(1.25)
FV=12,500
-20 years:
FV= 10,000(1+(0.025*20))
FV= 10,000(1+0.5)
FV=10,000(1.5)
FV=15,000
Second, you have to calculate the balance if you invest the money in Student Neighborhood Bank. To do it, you have to use the compound interest formula to calculate the future value:
FV=PV(1+(r/m))^mt
FV= future value
PV= present value
r= rate
t=time
m=number compounding periods per year
-10 years:
FV=10,000*(1+(0.021/12))^12*10
FV=10,000*(1+0.00175)^120
FV=10,000*(1.00175)^120
FV=12,334.5
-20 years:
FV=10,000*(1+(0.021/12))^12*20
FV=10,000*(1+0.00175)^240
FV=10,000*(1.00175)^240
FV=15,214
According to this, the bank that provides the largest balance if you plan to invest $10,000 for 10 years is Student Friendly Bank because it will provide $12,500 and Neighborhood Bank will provide $12,334.5.
The bank that provides the largest balance if you plan to invest $10,000 for 20 years is Neighborhood Bank because it will provide $15,214 and Student Friendly Bank will provide $15,000.
Let $\overline{XY}$ be a tangent to a circle, and let $\overline{XBA}$ be a secant of the circle, as shown below. If $AX = 15$ and $XY = 9$, then what is $AB$?
Answer:
AB=5.4 units
Step-by-step explanation:
We using the theorem of intersecting tangent and secant to solve this.
By this theorem:
[tex]XY^2=XB \times AX\\9^2=15(15-XB)\\81=225-15XB\\15XB=144\\XB=9.6\\$Therefore:\\AB=AX-XB\\AB=15-9.6\\AB=5.4$ units[/tex]
Answer:
Its 9.6, the other guy got it wrong, he already got it but accidentally added a step. Its 9.6 :)
Step-by-step explanation:
trust me :).
Simplify (4x - 6) - (5x + 1).
a)x+7
b)-X +7
c)X-7
d)-X-7
Answer:
Step-by-step explanation:
4x - 6 - 5x - 1
-x - 7
the answer is d
Answer:
D . -x - 7
Step-by-step explanation:
(4x-6) - (5x+1) = 4x-6-5x-1
4x-5x-1-6
4x-5x= -x
1-6 = -7
-x - 7
What is the common ratio Between successive terms in the sequence? 1.5,1.2,0.96,0.768
Answer:
0.8
Step-by-step explanation:
0.768/0.96= 0.8
0.96/1.2 =0.8
help plzzzz asap i need the answer right now
PLZZZ HELP MEEE!!!!!!!!!!
Answer:
Step-by-step explanation:
Graph shown in the attachment,
- Since every value of x corresponds to a distinct value of y, so the graph represents a function.
- Every input value of x of the table has a output value of y, therefore, it's a function.
- In the set of ordered pairs (5, 8) and (5, 2), input value x = 5 has two output values for y,
y = 8 and y = 2
Therefore, it's not a function and (5, 8) should be changed to make the relation a function.
A geometric sequence is represented by a Subscript n Baseline = a Subscript 1 Baseline r Superscript n minus 1. What is the fifth term of a geometric sequence where a Subscript 1 Baseline = 4,096 and the common ratio is Negative one-fourth?
Answer:
16Step-by-step explanation:
Given the nth term of a geometric sequence represented as [tex]Tn = a_1r^{n-1}[/tex]
[tex]a_1[/tex] = first term of the sequence
n = number of terms
r = common ratio
Given [tex]a_1 = 4,096,\ r = -\frac{1}{4} , n = 5[/tex](fifth term of the sequence)
[tex]T_5 = 4,096(-\frac{1}{4} )^{5-1}\\ T_5 = 4,096(-\frac{1}{4} )^{4}\\T_5 = 4,096(\frac{1}{256} )\\T_5 = 16[/tex]
The fifth term of the geometric sequence is 16
Answer:
this is the answer for edge 2020-2021
Step-by-step explanation:
sum- -204.8
For the function Y=-3Cos4x +6 State the Amplitude, Period, Frequency, and Vertical Shift.
Answer:
Amplitude = -3
Period = [tex]\frac{2\pi}{4}=\frac{\pi}{2}[/tex]
Frequency = [tex]\frac{1}{\pi/2}=\frac{2}{\pi}[/tex]
Vertical Shift = 6.
Step-by-step explanation:
Consider the function:
[tex]y=A\ sin (B(x+C))+D[/tex]
Here,
A = amplitude; It is the measure of how high is the peak from the center line.
2π/B = period; A period is the distance between one peak to the next.
C = phase shift; it represents how far the function is shifted horizontally from the initial point.
D = vertical shift; it represents how far the function is shifted vertically from the initial point.
The frequency of a function is the number of times something happens per unit time.
[tex]\text{Frequency}=\frac{1}{Period}[/tex]
The function provided is:
[tex]y=-3\ cos\ 4x+6[/tex]
On comparing the provided function with the general one it can be determined that:
Amplitude = -3
Period = [tex]\frac{2\pi}{4}=\frac{\pi}{2}[/tex]
Frequency = [tex]\frac{1}{\pi/2}=\frac{2}{\pi}[/tex]
Vertical Shift = 6.
????? HELP PLEASEEE!!
The bookstore is selling a series of 4 books for 97.50 what is the unit price for one book
Answer:
Step-by-step explanation:
97.50/4 equals 24.375 but if you are rounding it is 24. :)
The unit price for one book is 24.375 .
What is unitary method?The method in which first we find the value of one unit and then the value of the required number of units is known as the Unitary Method.
According to the given question.
Cost of four books = 97.50
Therefore,
the price of one book = [tex]\frac{97.50}{4} =24.375[/tex]
Hence, the unit price for one book is 24.375 .
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t – 7 = 8 I know this problem is an because it has an equals sign. The t is the . The negative sign is the . The 7 and the 8 are both .
Answer:
1. equation
2. variable
3. operation
4. constants
i took this on edge so i know the answers ^-^
what is 1/3 of 48 in numbers
Answer:
16
Step-by-step explanation:
Multiply it by 1/3 and it equals 16
Answer:
16
Step-by-step explanation:
48/3=16
You get dressed in the morning without looking at the colours of the clothes you choose. Your shirts are white or blue, your pants are black, red, or yellow, and your shoes are brown or black. How likely are you to choose a white shirt, black pants, and brown shoes?
Answer:
add up all the colors
Step-by-step explanation:
x=3/5 y=1/3 z=2 4/5 work out z+x*y
Answer:
3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
z+x*y
Start by plugging the corresponding values in.
2 4/5 + 3/5*1/3
Multiply first. (Order of operations)
Note: When multiplying fractions, simply multiply the denominators together, and then the numerators together.
2 4/5 + 3/15
Simplify.
(I divided 3/15 by 3/3, which just equals 1.)
2 4/5 + 1/5
Add.
2 5/5
Simplify
3
This year, Arvin and Mariah were in charge of making orange juice for campers. They planned to make the juice by mixing water and
frozen orange juice concentrate. To find the mix that would taste best, they decided to test some mixes.
Mix A: 2 cups concentrate
3 cups cold water
Mix B: 5 cups concentrate
9 cups cold water
Mix C: 1 cup concentrate
2 cups cold water
Mix D: 3 cups concentrate
5 cups cold water
1. Which mix will make juice that is the most 'orangey"? Explain your reasoning.
2. Which mix will make juice that is the least 'orangey"? Explain your reasoning
Answer:
Mix A is the most orangey, Mix C is the least orangey
Step-by-step explanation:
Mix A largest proportion of concentrate to water
Mix C is the smallest proportion of concentrate to water
Pls help me!!!!! I'm dead!!!!! I have like 40 of these things. Pls ;)
Answer:
4 and 5 are coefficients the rest are terms
Step-by-step explanation:
coefficients are the numbers not the letters
Answer:
Coefficient: 4, 5Term: 4p, 5b, 8cStep-by-step explanation:
The terms are the elements of the sum:
5b, 8c, 4p
The coefficients are the constant multipliers:
5, 8, 4
___
In your list of items to "drag and drop", you have ...
Coefficient: 4, 5
Term: 4p, 5b, 8c
∠MNQ and ∠PNR are vertical angles. What is the value of x?
Answer:
Step-by-step explanation:
I don’t know the answer
The value of x such that ∠MNQ and ∠PNR are vertical angles is 40
How to determine the value of x?The given parameters are:
MNQ = 3x - 6
PNR = 114
Vertical angles are equal.
So, we have:
3x - 6 = 114
Add 6 to both sides
3x = 120
Divide both sides by 3
x = 40
Hence, the value of x is 40
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Which equation matches the graph of the greatest integer function given below, help please
Please answer correctly......Leslie has a box of markers. There are 3 black, 4 red, 2 blue, 1 brown, 2 purple, 2 yellow and 5 green markers. Which of the following is a sample space of possible outcomes for choosing one marker?
Answer:
A
Step-by-step explanation:
possible outcomes for choosing one marker is 1/19
so there for the answer is A
i need help help pls
Answer:
MAD = 2
Step-by-step explanation:
First We'll find the mean of data
Mean = [tex]\frac{20}{5}[/tex]
Mean = 4
Then, we'll find absolute deviation
=> |4-3| = 1
=> |4-2| = 2
=> |4-1| = 3
=> |4-1| = 3
=> |4-3| = 1
Now, taking the mean of these absolute deviations:
MAD = [tex]\frac{1+3+3+2+1}{5}[/tex]
MAD = [tex]\frac{10}{5}[/tex]
MAD = 2
I will make you as brainliest!!! Please help me!!! Suggest a committee that needs 5 members to plan a fundraiser. The candidates consist of 24 girls and 16 boys. What is the probability that at most 2 girls will be on the committee?
Answer:
69/195
Step-by-step explanation:
So u add 24 and 16 to find the total number of people who are there
The total is 40
If they want at least 2 girls
So one of the probability for one girl is 24/40 which is 3/5
The other probability of another girl is 23/39
So u multiply 23/39 by 3/5 which is 69/195
Correct me if this is wrong
Sorry
Answer:
30.77%.
Step-by-step explanation:
There are a total of 40 members.
24 girls 16 boys.
Prob( 0 girls being chosen - so all boys ) = 16/40 * 15/39*14/38* 13/37*12/36 = 0.0063956
Prob( first one to be chosen is a girl then all boys) = (24/40*16/39*15/38*14/37*13/36) = 0.013276
There are 5 ways of 1 girl being chosen so
Prob(1 girl out of 5 chosen) = 0.013276 * 5 = 0.06638
Prob( First 2 chosen are girls then all boys) = 24/40 * 23/39 * 16/38*15/37*14/36
= 0.023489
Number of ways of 2 girls being chosen is 5C2 and so the probability of 2 girls
= 0.023489 * 5C2
= 0.023489 * 10
= 0.23489.
Required probability = 0.23489 + 0.06638 + 0.0063956.
= 0.3076656
= 30.77% to the nearest hundredth.
If A(4 -6) B(3 -2) and C (5 2) are the vertices of a triangle ABC fine the length of the median AD from A to BC. Also verify that area of triangle ABD = Area of triangle ACD
Answer:
a) The median AD from A to BC has a length of 6.
b) Areas of triangles ABD and ACD are the same.
Step-by-step explanation:
a) A median is a line that begin in a vertix and end at a midpoint of a side opposite to vertix. As first step the location of the point is determined:
[tex]D (x,y) = \left(\frac{x_{B}+x_{C}}{2},\frac{y_{B}+y_{C}}{2} \right)[/tex]
[tex]D(x,y) = \left(\frac{3 + 5}{2},\frac{-2 + 2}{2} \right)[/tex]
[tex]D(x,y) = (4,0)[/tex]
The length of the median AD is calculated by the Pythagorean Theorem:
[tex]AD = \sqrt{(x_{D}-x_{A})^{2}+ (y_{D}-y_{A})^{2}}[/tex]
[tex]AD = \sqrt{(4-4)^{2}+[0-(-6)]^{2}}[/tex]
[tex]AD = 6[/tex]
The median AD from A to BC has a length of 6.
b) In order to compare both areas, all lengths must be found with the help of Pythagorean Theorem:
[tex]AB = \sqrt{(x_{B}-x_{A})^{2}+ (y_{B}-y_{A})^{2}}[/tex]
[tex]AB = \sqrt{(3-4)^{2}+[-2-(-6)]^{2}}[/tex]
[tex]AB \approx 4.123[/tex]
[tex]AC = \sqrt{(x_{C}-x_{A})^{2}+ (y_{C}-y_{A})^{2}}[/tex]
[tex]AC = \sqrt{(5-4)^{2}+[2-(-6)]^{2}}[/tex]
[tex]AC \approx 4.123[/tex]
[tex]BC = \sqrt{(x_{C}-x_{B})^{2}+ (y_{C}-y_{B})^{2}}[/tex]
[tex]BC = \sqrt{(5-3)^{2}+[2-(-2)]^{2}}[/tex]
[tex]BC \approx 4.472[/tex]
[tex]BD = CD = \frac{1}{2}\cdot BC[/tex] (by the definition of median)
[tex]BD = CD = \frac{1}{2} \cdot (4.472)[/tex]
[tex]BD = CD = 2.236[/tex]
[tex]AD = 6[/tex]
The area of any triangle can be calculated in terms of their side length. Now, equations to determine the areas of triangles ABD and ACD are described below:
[tex]A_{ABD} = \sqrt{s_{ABD}\cdot (s_{ABD}-AB)\cdot (s_{ABD}-BD)\cdot (s_{ABD}-AD)}[/tex], where [tex]s_{ABD} = \frac{AB+BD+AD}{2}[/tex]
[tex]A_{ACD} = \sqrt{s_{ACD}\cdot (s_{ACD}-AC)\cdot (s_{ACD}-CD)\cdot (s_{ACD}-AD)}[/tex], where [tex]s_{ACD} = \frac{AC+CD+AD}{2}[/tex]
Finally,
[tex]s_{ABD} = \frac{4.123+2.236+6}{2}[/tex]
[tex]s_{ABD} = 6.180[/tex]
[tex]A_{ABD} = \sqrt{(6.180)\cdot (6.180-4.123)\cdot (6.180-2.236)\cdot (6.180-6)}[/tex]
[tex]A_{ABD} \approx 3.004[/tex]
[tex]s_{ACD} = \frac{4.123+2.236+6}{2}[/tex]
[tex]s_{ACD} = 6.180[/tex]
[tex]A_{ACD} = \sqrt{(6.180)\cdot (6.180-4.123)\cdot (6.180-2.236)\cdot (6.180-6)}[/tex]
[tex]A_{ACD} \approx 3.004[/tex]
Therefore, areas of triangles ABD and ACD are the same.