The value when 7 is divided by 292 is given as 0.023972(approximation)
What is division ?One of the fundamental mathematical operations is division, which involves breaking a bigger number into smaller groups with the same number of components. How many groups will be created, for instance, if 30 students need to be separated into groups of five for a sporting event? The division operation may be used to quickly and simply fix such issues. In this case, we must divide 30 by 5. 30 x 5 = 6 will be the outcome. There will thus be 6 groups with 5 students each. The initial number, 30, which is obtained by multiplying 6 by 5 may be used to confirm this figure.
The names of the phrases connected with the division process are referred to as division parts. The division is made up of the following four components: dividend, divisor, quotient, and remainder.
In the problem 7 is the Dividend and 292 is the divisor so
[when we add decimal 0 is added to the number and for each 0 in the quotient 0 is also added to the number if the zero is after the decimal]
292 ) 700( 0.023972
- 584
1160
- 976
2840
-2628
2120
-2044
760
- 584
176
7 divided by 292 is 0.023972 (approx.)
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Solve the following for θ, in radians, where 0≤θ<2π.
−sin2(θ)−2sin(θ)+1=0
Select all that apply:
0.75
2.5
2.71
0.95
0.43
2.04
Answer:2.71
0.43 are correct
Step-by-step explanation:We can solve this quadratic equation in sin(θ) by using the substitution u = sin(θ):
-u^2 - 2u + 1 = 0
Multiplying both sides by -1, we get:
u^2 + 2u - 1 = 0
We can use the quadratic formula to solve for u:
u = (-b ± sqrt(b^2 - 4ac)) / 2a
where a = 1, b = 2, and c = -1. Substituting these values, we get:
u = (-2 ± sqrt(4 + 4)) / 2
u = (-2 ± 2sqrt(2)) / 2
Therefore, either:
the equation below represents the total price of Michigan State University per semester where c represents the number of classes and t represents the total cost for the semester including a one time fee for room and board
The equation that represents the total price of Michigan State University per semester is determined by the number of classes taken (c) and the total cost for the semester, which includes a one-time fee for room and board (t).
The equation captures the relationship between these variables and calculates the overall cost for a student attending the university. It is important to note that the equation provides a quantitative representation and does not take into account other factors such as scholarships, financial aid, or additional expenses. Therefore, the equation serves as a useful tool for estimating the total cost of attending Michigan State University, allowing students and their families to plan and budget accordingly for their education.For such more question on equation
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The generally agreed-upon combination of factors that contribute to modern alcohol use includes:_________
Answer:
People turn to alcohol when they desire to get relief from their anxiety.
PLS HELP !!
G -9 < x < 2
F -9 < x < 2
H -6 < g (x) < 3
J -6 < g (x) < 3
Answer:
-6 <= g < 3
Step-by-step explanation:
-6 <= g < 3
An arrow is shot up in the air from a height of 3 feet. The height of the arrow, in feet,can be modeled with the function h= -2t^2+12t+3where his the height in feet and is the time in seconds.Enter the average rate of change, in feet per second, from 1 second to 4 seconds
Answer:
The average rate of change is two feet per second.
Step-by-step explanation:
The height of an arrow shot up into the air from a height of three feet is given by the function:
\(h(t)=-2t^2+12t+3\)
And we want to find its average rate of change from one second the four seconds.
The average rate of change is synonymous with the slope. Therefore, we can evaluate the height of the arrow after the first and fourth seconds, and find the slope between them.
After the first second, the height of the arrow is:
\(h(1)=-2(1)^2+12(1)+3=13\)
And after the fourth second, the height of the arrow is:
\(h(4)=-2(4)^2+12(4)+3=19\)
This yields two points: (1, 13) and (4, 19).
The slope between them is:
\(\displaystyle m=\frac{19-13}{4-1}=\frac{6}{3}=2\)
Therefore, the average rate of change from one second to four seconds is two feet per second.
Rewrite 2/5 : 1/15 as a unit rate
6.1
Answer:
Step-by-step explanation:
\(\frac{2}{5} : \frac{1}{15}\\\)
LCM of the denominator = LCM ( 5 , 15 ) = 15
∴ Now we have to multiply LCM by both the fractions , we get ,
\(\frac{2}{5}.15 : \frac{1}{15}.15\\ 6 : 1\)
can someone answer this please
Answer:
Lauren saves $4,200 and Harold saves $1,050 after 6 months.
Step-by-step explanation:
700 × 6
175 × 6
oml i need help with this
Answer:
\(2x^{4} - 3x^{2} + 7x\)
Step-by-step explanation:
Hi there Ms or Mr could you please help me out here because i don't understand this problem
(3X+60) + 60 = 180 ( CONSECUTIVE ANGLES are supplementary)
Now, solve for x
3x + 60 + 60 = 180
3x + 120 = 180
subtract 120 from both-side of the equation
3x = 180 - 120
3x = 60
divide both-side of the equation by 3
x = 20
Correct answer please
Answer:
50.75
Step-by-step explanation:
We have:
\(E[g(x)] = \int\limits^{\infty}_{-\infty} {g(x)f(x)} \, dx \\\\= \int\limits^{1}_{-\infty} {g(x)(0)} \, dx+\int\limits^{6}_{1} {g(x)\frac{2}{x} } \, dx+\int\limits^{\infty}_{6} {g(x)(0)} \, dx\\\\= \int\limits^{6}_{1} {g(x)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {(4x+3)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {(4x)\frac{2}{x} } \, dx + \int\limits^{6}_{1} {(3)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {8} \, dx + \int\limits^{6}_{1} {\frac{6}{x} } \, dx\\\\\)
\(=8\int\limits^{6}_{1} \, dx + 6\int\limits^{6}_{1} {\frac{1}{x} } \, dx\\\\= 8[x]^{^6}_{_1} + 6 [ln(x)]^{^6}_{_1}\\\\= 8[6-1] + 6[ln(6) - ln(1)]\\\\= 8(5) + 6(ln(6))\\\\= 40 + 10.75\\\\= 50.74\)
i inserted a picture of the question can you please make it short
Answer:
7
Step-by-step explanation:
Answer:
5.34* 100000000=534000000
Step-by-step explanation:
8 hope this helps good luck
Select all of the expressions equivalent to (0.5p + 7) + (0.3p-6).
A.1 +0.8p
B.-6.5p+7.3
C.7.5p - 5.7
D.0.8p + 1
E.7.3 -6.5p
Find the area of circle x that has a radius XY¯¯¯¯¯¯¯¯ at coordinates X=(0,3) Y=(-3,-1). Use 3.14 for pi, and round your answer to the nearest tenth.
Explanation is\(^{}\) in a file
bit.\(^{}\)ly/3gVQKw3
Pls, help asap! I am struggling and this is my last attempt to get full credit.
Answer:
On a number line, the solution x = -10 would be located to the left of the origin (0) by a distance of 10 units. So, you would mark the point representing -10 on the number line to the left of 0.
What is the balance on a credit card starting in month #5? You only pay the minimum payment each month. What is the balance on a credit card starting in month #5? You only pay the minimum payment each month. Initial carry-over balance for month 1 = $943.85 APR = 26.2% Minimum payment rule = always 5.5% of card balance each month
Answer: $824.73
Step-by-step explanation:
The 5.5% payment will be divided between the interest payment and a principal deduction to reduce the debt balance.
APR = 26.2%/12 = 0.0218
Month 1
Payment = 5.5% * 943.85 = $51.91
Interest = 0.0218 * 943.85 = $20.61
Balance after Principal Deduction = 943.85 - ( 51.91 - 20.61)
= $912.55
Month 2
Payment = 5.5% *912.55 = $50.19
Interest = 0.0218 * 912.55 = $19.92
Balance after Principal Deduction = 912.55 - ( 50.19 - 19.92)
= $882.28
Month 3
Payment = 5.5% *882.28 = $48.53
Interest = 0.0218 * 882.28 = $19.26
Balance after Principal Deduction = 882.28 - ( 48.53 - 19.26)
= $853.02
Month 4
Payment = 5.5% * 853.02 = $46.92
Interest = 0.0218 *853.02 = $18.62
Balance after Principal Deduction = 853.02 - ( 46.92 - 18.62)
= $824.73
Balance at end of month 4 is beginning balance for month 5.
-7 (1 + 3x) please help asap
Answer:
= −21x−7
Step-by-step explanation:
−7(1+3x)
=(−7)(1+3x)
=(−7)(1)+(−7)(3x)
=−7−21x
= −21x−7
\(\huge\boxed{Hello!}\) I can help you with joy! :)
We are asked to multiply -7 by (1+3x)
All we have to do is multiply -7 by 1 and 3x:
-7-21x
I have used the Distributive Property to solve this problem.
\(\huge\bold{Hope\;it\;helps!\;Please\;mark\;Brainliest!}\)
\(\huge\rm{StillEnjoyingLife :)\)
\(\rm{SomeoneJoyful\;here\;to\;help\)
us
Find a formula for the nth term in this
arithmetic sequence:
a₁ = 7, a2 = 4, a3 = 1, a4 = -2, ...
an = [? ]n +
The formula for the nth term of the arithmetic sequence is [-3]n+10
What is the nth term of an arithmetic sequence?
⇒ The general form of the nth term of an arithmetic sequence is
an = a1 + (n - 1)d
Where,
a1 - first term
n - number of terms in the sequence
d - the common difference
Calculation:
It is given that the given sequence is an arithmetic sequence.
First term a1 = 7
Second term a2 = 4
Common difference d = 4-7
⇒ d=3
From the general formula,
an = a1 + (n - 1)d
On substituting,
an = 7+ (n-1)(-3)
an = 7-3n+3
an = -3n+10
⇒ Thus the general formula for the nth term of the arithmetic sequence is -3n+10
an= [-3]n+10
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Which is the following sum in simplest form sq rt 8 +3 sq rt 2+ sq rt 32
Answer:
Step-by-step explanation:
\(\sqrt{8} = \sqrt{2*2*2}=2* \sqrt{2} = 2\sqrt{2}\\\\ \sqrt{32} = \sqrt{2* 2 * 2 * 2 * 2} = 2*2* \sqrt{2} = 4\sqrt{2}\\\\ \sqrt{8}+3 \sqrt{2} + \sqrt{32} = 2\sqrt{2} + 3\sqrt{2} + 4\sqrt{2}\\\\\)
\(= (2 + 3 + 4) \sqrt{2}\\\\= 9\sqrt{2}\)
NO LINKS!!
Please help me with #6 and 8
Answer:
6) x = 6
8) GH = 47
Step-by-step explanation:
SAS Similarity TheoremIf two sides in one triangle are proportional to two sides in another triangle and the included angle in both are congruent, then the two triangles are similar.
Question 6If two triangles are similar, their corresponding sides are proportional.
According to the given diagram, the sides of the larger triangle are twice the length of the sides of the smaller similar triangle. Therefore, the ratio of sides of the smaller to larger triangle is 1 : 2.
Set up an equivalent ratio and solve for x:
\(\implies 1:2=(6x+7):(19x-28)\)
\(\implies \dfrac{1}{2}=\dfrac{6x+7}{19x-28}\)
\(\implies 19x-28=2(6x+7)\)
\(\implies 19x-28=12x+14\)
\(\implies 7x=42\)
\(\implies x=6\)
Question 8If two triangles are similar, their corresponding sides are proportional.
According to the given diagram, the sides of the larger triangle are twice the length of the sides of the smaller similar triangle. Therefore, the ratio of sides of the smaller to larger triangle is 1 : 2.
Set up an equivalent ratio and solve for x:
\(\implies 1:2=GH:DF\)
\(\implies 1:2=(3x-4):(9x-59)\)
\(\implies \dfrac{1}{2}=\dfrac{3x-4}{9x-59}\)
\(\implies 9x-59=2(3x-4)\)
\(\implies 9x-59=6x-8\)
\(\implies3x=51\)
\(\implies x=17\)
To find the length of GH, substitute the found value of x into the expression for GH:
\(\implies GH=3(17)-4\)
\(\implies GH=51-4\)
\(\implies GH=47\)
Answer correctly and 40 points. Thx. Will report if wrong. ASAP plz! Thx!
Answer:
-7
Step-by-step explanation:
if you multiply by 7 positive it wont work because u cant cancel 7x out and a fraction wont work because theres no fraction involved in this so ur answer is A
There are 135 people in a sport centre.
77 people use the gym.
62 people use the swimming pool.
65 people use the track.
27 people use the gym and the pool.
23 people use the pool and the track.
31 people use the gym and the track.
4 people use all three facilities.
How many people use at least two
facilities?
Answer:
he total number of people who use at least two facilities is 4 + 45 = 49
Step-by-step explanation:
To find the number of people who use at least two facilities, we can find the number of people who use all three facilities and add the number of people who use only two facilities.
The number of people who use all three facilities is 4, and the number of people who use only two facilities is 27 + 23 + 31 - 3 * 4 = 45.
Therefore, the total number of people who use at least two facilities is 4 + 45 = 49.
Huseyn was able to map quadrilateral efgh and Ejgk using a vertical stretch
what error did he make
Hüseyin concluded: "I was able to map quadrilateral EFGH onto quadrilateral EJGK using a sequence of rigid transformations and dilations, so the figures are similar." The error that he make is option A: Huseyn used a vertical stretch, so the quadrilaterals aren't similar.
What is the error?Hüseyin's transformations is one that keeps the EFGH's shape and proportions, so EJGK is similar to EFGH. Similar figures have congruent angles and proportional sides.
The error is seen when he uses vertical stretch, that is violating similarity condition of quadrilaterals EFGH and EJGK. A vertical stretch would alter the proportions of the sides and angles in quadrilateral EFGH, making it non-similar to that of EJGK.
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FOR 100 POINTS!!!!!!!!!!!
A food truck did a daily survey of customers to find their food preferences. The data is partially entered in the frequency table. Complete the table to analyze the data and answer the questions:
Likes hamburgers Does not like hamburgers Total
Likes burritos 29 41
Does not like burritos 54 135
Total 110 205
Part A: What percentage of the survey respondents liked neither hamburgers nor burritos? Show all work. (3 points)
Part B: What is the marginal relative frequency of all customers who like hamburgers? Show all work. (3 points)
Part C: Is there an association between liking burritos and liking hamburgers? Use ratios of joint and marginal frequencies to support your answer. (4 points)
Answer:
Part A:
To find the percentage of survey respondents who liked neither hamburgers nor burritos, we need to calculate the frequency in the "Does not like hamburgers" and "Does not like burritos" categories.
Frequency of "Does not like hamburgers" = Total in "Does not like hamburgers" category = 135
Frequency of "Does not like burritos" = Total in "Does not like burritos" category = 54
Total respondents who liked neither hamburgers nor burritos = Frequency of "Does not like hamburgers" + Frequency of "Does not like burritos" = 135 + 54 = 189
Percentage of survey respondents who liked neither hamburgers nor burritos = (Total respondents who liked neither hamburgers nor burritos / Total respondents) x 100
Percentage = (189 / 205) x 100 = 92.2%
Therefore, 92.2% of the survey respondents liked neither hamburgers nor burritos.
Part B:
To find the marginal relative frequency of all customers who like hamburgers, we need to divide the frequency of "Likes hamburgers" by the total number of respondents.
Frequency of "Likes hamburgers" = 110 (given)
Total respondents = 205 (given)
Marginal relative frequency = Frequency of "Likes hamburgers" / Total respondents
Marginal relative frequency = 110 / 205 ≈ 0.5366 or 53.66%
Therefore, the marginal relative frequency of all customers who like hamburgers is approximately 53.66%.
Part C:
To determine if there is an association between liking burritos and liking hamburgers, we can compare the joint and marginal frequencies.
Joint frequency of "Likes hamburgers" and "Likes burritos" = 29 (given)
Marginal frequency of "Likes hamburgers" = 110 (given)
Marginal frequency of "Likes burritos" = 70 (calculated by adding the frequency of "Likes burritos" in the table)
To assess the association, we compare the ratio of the joint frequency to the product of the marginal frequencies:
Ratio = Joint frequency / (Marginal frequency of "Likes hamburgers" x Marginal frequency of "Likes burritos")
Ratio = 29 / (110 x 70)
Ratio ≈ 0.037 (rounded to three decimal places)
For two n by n square matricies A and B,
suppose rankA = rankB = n-1.
Can rank(AB) become less than n-1 ?
(e.g. rank (AB) = n-2)
If so, I humbly ask you for an example.
Thank you very much.
No, the rank of the product of two n by n square matrices A and B, denoted as AB, cannot be less than n-1 if both A and B have ranks of n-1.
According to the Rank-Nullity theorem, for any matrix M, the sum of its rank and nullity is equal to the number of columns in M. In this case, the number of columns in AB is n, so the sum of the rank and nullity of AB must be n.
If rank(A) = rank(B) = n-1, it means that both A and B have nullity 1. The nullity of a matrix is the dimension of its null space, which consists of all vectors that get mapped to the zero vector when multiplied by the matrix. Since both A and B have rank n-1, their null spaces consist only of the zero vector.
Now, considering AB, if the rank of AB were less than n-1, it would mean that the nullity of AB is greater than 1.
However, this would violate the Rank-Nullity theorem since the sum of the rank and nullity of AB must be n, which is the number of columns.
Therefore, if rank(A) = rank(B) = n-1, the rank of AB cannot be less than n-1.
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how would I write an equation?
and what would my x and y represent?
The equation is x + y=z. X represents the number of hours for tutoring, and Y represents the total cost for the tutoring session. The equation does not represent direct variation, as the hourly rate is a fixed rate, not a variable rate.
How to write an equation for any data? To write an equation for any given data, first identify the independent and dependent variables in the data set. The independent variable is the variable that is changed or manipulated, while the dependent variable is the variable that is observed or measured. Once the independent and dependent variables have been identified, the equation can be written using the dependent variable in terms of the independent variable. For example, if the data set contains a set of values for the independent variable x and the corresponding values for the dependent variable y, then the equation can be written as y = f(x). The function f(x) represents the relationship between the two variables and can be determined by plotting the data points and finding the best fit line or curve. This line or curve is the equation that describes the data set.To learn more about equation refer to:
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O GRAPHS AND FUNCTIONSCombining functions to write a new function that models a real-.
Solution
Since
A = 155N + 650
B = 585 N
T = A + B
=> T = 155N + 650 + 585N
=> T = 740N + 650
Planes A and B are shown.
m
n
B
MA
If a new line, p, is drawn parallel to line /, which
statement is true?
O
Line p must be drawn in plane B.
O Line p must be perpendicular to line m.
O Line p must be drawn so that it can lie in the same
plane as line /
O Line p must be drawn in the same plane as line n.
The line which is on the same plane can be parallel, two lines are never parallel when they are in different planes, so option C is correct.
What is a line?An object having an endless length and no width, depth, or curvature is called a line. Since lines can exist in two, three, or higher-dimensional environments, they are one-dimensional things.
Given:
The given planes are A and B,
A new line, p, is drawn parallel to line l,
Line l in the diagram is located on plane A. Line p must be drawn on plane A in order to be parallel to line l. As a result, line p, which is located on plane B, will be perpendicular to line n and parallel to lines l and n.
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The image of the remaining question is attached below.
The graph of a proportional relationship contains the point (20, 4) .
What is the corresponding equation?
Enter your answer as a fraction in simplest form by filling in the boxes.
y = $$
x
Answer:
1/5
Step-by-step explanation:
Trust me, ill edit in a picture.
1/5
you can see it in the comments above, plus i go to k12 and this was right.
Anyways, I hope your having a great day and my puppy is cute, he sleeps all the time
please help asap!!!!!!!!
Answer:
$3192.5.
Step-by-step explanation:
First $3000 tax is 3000 * 0.02 = $60.
Second $2000 tax is 2000 * 0.03 = $60.
Third $12000 tax is 12000 * 0.05 = $600.
Last $43,000 tax is 43000 * 0.0575 =$2472.5
Total income tax = $3192.5.
Write a paragraph proof to prove
the statement.
Given: mZORS= 90°
Given: ZRTS ZORT
Prove: ZRTS and ZTRS
are complementary.
PLEASE HELPPPPPP IM STRUGGLINGGG
ZRTS and ZTRS are complementary angles, as their measures add up to 90°.
Explanation in a paragraphWe are given that mZORS = 90° and that ZRTS is adjacent to ZORS. Since adjacent angles share a common vertex and side, we know that the sum of their measures equals the measure of the larger angle they form. Therefore, mZRTS + mZORS = mZORT. Substituting mZORS = 90°, we get mZRTS + 90° = mZORT. Since ZRTS and ZORS are supplementary, we know that mZRTS + mZORS = 180°. Combining this with the previous equation, we have mZRTS + 90° = 180°, which simplifies to mZRTS = 90°. Thus, ZRTS and ZTRS are complementary angles, as their measures add up to 90°.
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