Answer:
4(2a ⋅ 5) = (4 ⋅ 2a) ⋅ 5
Step-by-step explanation:
Let A, B and C be the required expression, according to Associative property;
(A+B)+C = A+(B+C)
This shows that no matter the sum of values in parenthesis, it does not alter the values at both sides.
From the given expression, the expression that is equivalent using the Associative Property of Multiplication is 4(2a ⋅ 5) = (4 ⋅ 2a) ⋅ 5
Note that the product of the values in bracket do not affect the final values
4(2a ⋅ 5) = 4(10a) = 40a
(4 ⋅ 2a) ⋅ 5 = 8a ⋅ 5 = 40a
You can see that both expressions gives the same values
Help me please? Making brainliest!
Answer:
0.33333
Step-by-step explanation:
[tex] \huge \red {\frac{1}{3}} \orange {=} \purple {0.33333} [/tex]
Hope it helps you in your learning process
Can someone please help me ASAP
solve the equation
z³=18+26i
where z=x+yi, x and y are integers
How many solutions exist for the given equation?
1/2(x + 12) = 4x - 1
zero
one
two
O infinitely many
Answer: X = 2
Step-by-step explanation:
Step 1: Simplify both sides of the equation!
Step 2: Subtract 4x from both sides.
Step 3: Subtract 6 from both sides.
Step 4: Multiply both sides by 2/(-7).
Simplify: x^1/3( x^1/2 + 2x^2)
Answer:
Step-by-step explanation:
x^1/3( x^1/2 + 2x^2)
x^(1/2 + 1/3) + 2x^(2 + 1/3)
x^(5/6) + 2x^(7/3)
YO SOMEONE HELP MEEE
Answer:
x= -14
Step-by-step explanation:
The amount of television viewed by today's youth is of primary concern to Parents Against Watching Television (PAWT). 300 parents of elementary school-aged children were asked to estimate the number of hours per week that their child watched television. The mean and the standard deviation for their responses were 16 and 4, respectively. PAWT constructed a stem-and-leaf display for the data that showed that the distribution of times was a bell-shaped distribution. Give an interval around the mean where you believe most (approximately 95%) of the television viewing times fell in the distribution.
A) between 12 and 20 hours per week
B) between 8 and 24 hours per weelk
C) between4 and 28 hours per week
D) less than 12 and more than 20 hours per week
Answer:
B) between 8 and 24 hours per week
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean of 16, standard deviation of 4.
Give an interval around the mean where you believe most (approximately 95%) of the television viewing times fell in the distribution.
Within 2 standard deviations of the mean, so:
16 - 4*2 = 16 - 8 = 8 hours per week.
16 + 4*2 = 16 + 8 = 24 hours per week.
This means that the correcgt answer is given by option B.
Solve for x.
9
2x-111
X
= [?]
Answer:
x=94
Step-by-step explanation:
I hope I'm correct. Here's my explanation: x+9 and 2x-111 would equal 180, hence the line (supplementary). So x+9+2x-111=180
x=94
hope this helps.
Step-by-step explanation:
x+9=2x-111( being corresponding angles )
x=2x-111-9
x-2x=-120
-x=-120
x=120
Select the correct answer.
What does an individual's effective tax rate indicate?
Α.
the average Income earned
B.
the average tax rate
C.
the minimum tax rate
D.
the next year's tax rate
Answer: B
Step-by-step explanation:
An individual's effective tax rate is the average tax rate.
classify the triangle by its sides and by measuring of its angles
56,252 rounded to the nearst ten thousandths
Answer:
60,000
Step-by-step explanation:
Answer:
60,000
Step-by-step explanation:
arrange the following fraction in descending order 1/2 5/7 1/4 or 1/8 11/12
Answer:
11/12, 5/7, 1,8, 1/4, 1/2
Step-by-step explanation:
The circumference of a circle 25.12ft. What is the circle’s diameter (take =3.14
Answer:
Diameter = 8 ft
Step-by-step explanation:
To find diameter, we need to work backwards from the formula for circumference of a circle.
Circumference = 2πr
given that π = 3.14
Circumference = 2*3.14*r
25.12 = 2*3.14*r
25.12 = 6.28 * r
4 = r
Radius = 4
Formula for Diameter =
D = 2r
D = 2*4
D = 8
Diameter = 8
Lets Check
Circumference = 2 * 3.14 * 4
Circumference = 25.12
Correct
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
PLSSS HElpppp!! DUE TODAYYY⛔️
Some children measured the lengths of their feet. The lengths are given in the line plot. What is the difference in length between the shortest and longest foot?
Answer:
Step-by-step explanation:
solve for x please answer this question
Answer:
<15
Step-by-step explanation:
Emma have 450000 dollars
Answer:
Is that all to the problem?
Step-by-step explanation:
Answer:
Is there supposed to be more information?
Step-by-step explanation:
A bike shop in Belleville bought a mountain bike for $723 and marked it up 50% from the original cost. Later on, Andy purchased the mountain bike and paid Belleville sales tax of 14%. How much, including tax, did he pay for the mountain bike?
Answer:
1,236.33
Step-by-step explanation:
Answer:1,236.33
Step-by-step explanation:
In ΔPQR, the measure of ∠R=90°, QP = 85, RQ = 13, and PR = 84. What ratio represents the cosecant of ∠P?
Given:
In ΔPQR, the measure of ∠R=90°, QP = 85, RQ = 13, and PR = 84.
To find:
The cosecant of ∠P.
Solution:
In a right angle triangle,
[tex]\text{cosec}\theta =\dfrac{Hypotenuse}{Perpendicular}[/tex]
It is also written as:
[tex]\text{cosec}\theta =\dfrac{Hypotenuse}{Opposite}[/tex]
In triangle PQR, QP is the hypotenuse because ∠R=90°.
[tex]\text{cosec}P =\dfrac{QP}{RQ}[/tex]
[tex]\text{cosec}P =\dfrac{85}{13}[/tex]
Therefore, the required trigonometric ratio is [tex]\text{cosec}P =\dfrac{85}{13}[/tex].
What is the value of y
Answer:
85 i thinkkkk
Step-by-step explanation:
Determine if the sequence below is arithmetic or geometric and determine the common difference / ratio in simplest form. 4,9,14,...
Answer:
It is an arithmetic sequence and the common difference is 5
Step-by-step explanation:
4+5 = 9; 9+5=14 (adding is arithmetic, multiplying is geometric)
Given the series 2 + two-thirds + StartFraction 4 Over 9 EndFraction + StartFraction 8 Over 27 EndFraction + StartFraction 16 Over 81 EndFraction + StartFraction 32 Over 243 EndFraction + ellipsis, which partial sums are correct? Check all that apply.
edge
Answer:
A and C
Step-by-step explanation:
Edge 2021
The partial sums are correct are Option A and Option C. That is: (2) and (28/9).
What is a partial sum?A partial sum (simply put) refers to the sum of the various parts that make up a sequence.
For example, in the above sequence given as:
2 + (2/3) + (4/9) + (8/27) + (16/81) + (32/243) + ...
A partial sum would be:
2 + (2/3).
In this case, thus,
Learn more about partial sums at:
https://brainly.com/question/17464148
#SPJ6
When Hiroto is writing, there is 0.920.920, point, 92 probability that there will be no spelling mistakes on a page. One day, Hiroto writes an essay that is 111111 pages long.
Complete question :
When Hiroto is writing, there is 0.92 probability that there will be no spelling mistakes on a page. One day, Hiroto writes an essay that is 11 pages long.
Assuming that Hiroto is equally likely to have a spelling mistake on each of the 11 pages, what is the probability that he will have a spelling mistake on at least one of the pages?
Answer:
0.60
Step-by-step explanation:
The question meets the requirement for a binomial probability distribution :
Recall:
P(x = x) = nCx * p^x * q^(n-x)
Given :
Probability of making a spelling mistake = 1 - p(not making) = 1 - 0.92 = 0.08
Hence,
p = 0.08 ; q = 0.92
n = 11
P(x ≥ 1) = 1 - p(x = 0)
P(x = 0) = 11C0 * 0.08^0 * 0.92^11
P(x = 0) = 1 * 1 * 0.3996373778857415671808
P(x = 0) = 0.399
P(x ≥ 1) = 1 - p(x = 0)
P(x ≥ 1) = 1 - 0.399
P(x ≥ 1) = 0.601
P(x ≥ 1) = 0.60
1. Nasir borrowed $420 for six months with $77 monthly payments.
How much interest will he pay on this loan?
$77
$57
$52
$42
2. Casey borrowed $814 for nine months, with payments of $105.50 monthly.
What will he pay in interest?
$103.16
$105.80
$122.40
$135.50
Answer: 52 and 793.25
Step-by-step explanation:
Answer:
1: 52
2: 105.80
Step-by-step explanation:
Find the x-intercepts of the parabola with
vertex (3,4) and y-intercept (0,-5).
Write your answer in this form: (X1,41), (X2,42).
If necessary, round to the nearest hundredth.
Enter the correct answer.
Need help solving this problem.
-30x+147=-171-24x
Answer:
-30x+147= -171-24x
+24x +24x
-6x+147= -171
-147 -147
-6x= -318
x=53
Hope this helps!
A customer goes to a bank and gets change for a $100 bill. The change is to be in $1, $5, and $10 bills. There were four times as many $5 bills as $10 bills. If there are 25 bills in all, how many are $5 bills?
Answer:
12
Step-by-step explanation:
x = number of $1 bills
y = number of $5 bills
z = number of $10 bills
We know that:
x + y + z = 25 (total amount of bills)
x + 5y + 10z = 100 (total amount of money)
y = 4z (Given)
Substitute the third equation into the first one.
x + 4z + z = 25
x = 25 - 5z
Put this into the second equation.
(25 - 5z) + 5 (4z) + 10z = 100
Simplify and solve.
25 - 5z + 20z + 10z = 100
25z + 25 = 100
25z = 75
z = 3
Substitute this into y = 4z
y = 4 * 3
y = 12
So, there are 12 $5 bills.
Answer:
12 $5 bills
Step-by-step explanation:
Represent the number of each kind of bill by x, y and z: there are x $1 bills, y $5 bills and z $10 bills.
According to the problem statement,
x + y + z = 25 and y = 4z (or z = y/4). Also, the values of the bills add up to $100:
($1)x + ($5)y + ($10)z = $100. Eliminate z by typing y/4 in its place:
x + y + (y/4) = 25 and
x + 5y + 10(y/4) = 100
Doing this has reduced the number of variables to two: x and y. Combining like terms in both equations, we get:
1x + (5/4)y = 25 and
1x + (30/4)y =100
Subtracting the 1st equation from the 2nd, we get:
(25/4)y = 75, or
(4/25)(25/4)y = (4/25)(75) , or y = 12.
If y = 12, z = 12/4, or 3.
Then x + 12 + 3 = 25 coins in all; therefore, x = 15 = 25, and x = 10
There are 10-$1 bills, 12-$5 bills and 3-$10 bills.
Brainliest pls help
Find the surface area and volume of the prism. Round your answer to nearest tenth.
With this prism, first separate it into a rectangular prism and a right triangle prism.
First, with the rectangular prism, it would have the units 5 * 5 * 6.3. Then with the right triangle prism, it would take the rest of the remaining space of it, being 3 * 5 * 6.3
The equation for the volume of a rectangular prism is L*W*H and the equation for the volume of a right triangle prism is (L*W*H) / 2.
With this, plug the numbers in for both prisms to get the volume of each of them:
Rectangular prism Volume
5*5*6.3
157.5
Right triangle prism Volume
(3*5*6.3) / 2
94.5 / 2
47.25
Lastly, combine these two values to get the total volume:
157.5 + 47.25 = 204.75 (Round Up) -->
204.8 cm^3 = Total Volume
Surface Area:Next, with the surface area of the prism. For this, lets combine all of the faces of the prism then add them all up.
First, lets do the bottom of the prism, or the base. It uses the lengths 8 cm and 6.3 cm. Lets do L * W to get the area of this face:
8 * 6.3 = 50.4
Next, lets do the slant side of it, which has the lengths 5.8 and 6.3.
5.8 * 6.3 = 36.54
Then, the top side with the lengths 5cm and 6.3 cm.
5.3 * 6.3 = 33.39
After that, the left side face that opposite to the slantly one:
5 * 6.3 = 31.5
Saving the most tedious part of it for last, the right trapezoids. Luckily, there is an equation for this:
1/2 x (Sum of parallel sides) x (perpendicular distance between the parallel sides).
So, within each of these right trapezoids, there's the parallel sides of 5 and 8. There's also a perpendicular side of 5cm. With this, we can plug this into the equation to solve for this part:
1/2 x (5+8) * (5)
1/2 x (13) * (5)
1/2 x (65)
32.5
Since there's two of them, times this by 2:
32.5 * 2 ---> 65.
Now, with the area of all of the faces, these can be added up for the total surface area:
50.4 + 36.54 + 33.39 + 31.5 + 65 ---> 216.83 (Round Down)-->
216.8 cm^2 = Total Surface Area
please help find the gradient :)
Answer:
gradient m = - 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the gradient and c the y- intercept )
y = - x - 3 ← is in slope- intercept form
with gradient m = - 1
Answer:
[tex]\rm Slope = -1[/tex]
Step-by-step explanation:
Given :-
A equation of line .[tex]\rm y = -x-3[/tex]And we need to find out the gradient of the line. The gradient of the line is the " slope " of the line. The given equation is in slope Intercept Form , which is ,
Slope intercept form :-
[tex]\rm\implies y = mx + c [/tex]
Where m is the slope of the line and c is y intercept .On comparing it to slope Intercept Form , we have ,[tex]\implies \rm Slope (m) = (-1)[/tex]
Hence the gradient of the line is (-1) .
I want to know what 5/8 divided by 8/5 equals
Answer:
The answer is 0.390625
The product of 8 and the sum of a number m and 2 is 16
Step-by-step explanation:
8(m + 2)= 16
8m + 16 = 16
8m = 0
m = 0