Can someone answer this question I attached a picture

The questions for grade 7 math worksheets are typically prepared by math teachers, curriculum specialists, and educational publishers.

These professionals use their knowledge of math concepts and pedagogy to create questions that are appropriate for the grade level and aligned with educational standards.

Additionally, they may use feedback from students and other teachers to refine the questions and ensure they are effective for teaching and learning. It is important for the questions to be clear, accurate, and challenging in order to help students develop their math skills and prepare for more advanced concepts.

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Answer:

68

Step-by-step explanation:

Step 1:

( 70 + 2 ) - 4

Step 2:

72 - 4

Answer:

68

Hope This Helps :)

Answer:

3(3a-6b+7c)

Step-by-step explanation:

8 fluid ounces are in one serving is the required fluid ounces in one serving.

Given that,

There are 8 fluid ounces in a cup, how many fluid ounces are in one serving is to be determined.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,

There are 8 fluid ounces in 1 cup and in a serving of one cup there will be 8 fluid ounces.

Thus, 8 fluid ounces are in one serving is the required fluid ounces in one serving.

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Answer:

30

Step-by-step explanation:

This is an easy one.

So, we know that 40% of the class is girls. We would need to use the other 60% as 60% of the class is boys and we would need to divide.

18/0.6=30

Therefore your answer is 30.

Hope this helps.

Answer:

20

Step-by-step explanation:

It is 40 percent ( given)

18/2=9

9×5=40 (100%)

Girls- 18( given)

Boys- 40-18=22

Rounded off-20

we have that

Marge says

7*0=7+0

7*0=0 ----> all numbers multiplied by zero is zero

and

7+0=7 ----> any number adds to zero is the same number

so

0=7 -----> is not true

therefore

Marge is not correct

Rules

Any number multiplied by zero is zero ------> multiplying by zero (Zero property of multiplication)

and

the Identity Law of Addition ----> Any number added to zero is equal to itself

A condition that is impossible to satisfy has no solution.

Mathematics can be a powerful tool for solving many problems, but there are some issues that can't be solved.

In particular, any condition that is impossible to satisfy, such as the logical statement ‘this statement is false’, has no solution in mathematics. This is because the statement can’t be proven true or false, and so it can’t be solved.

An unsolvable condition is one that cannot be solved using any combination of logical and mathematical steps.

This means that no matter how much time and effort is put in, a solution to the problem cannot be discovered.

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Answer:

The legs are a and b, the hypotenuse is c

Step-by-step explanation:

The legs of a right triangle are the two smaller sides. The hypotenuse is the longest side it is also always opposite of the 90-degree angle. If you need to find the lengths of sides remember the Pythagorean theorem, .

Answer:

yes the person above me is correct .

Step-by-step explanation:

good job :)

The "hypothesis of no change," "status quo," and "conventional wisdom" are all alternative names for the null hypothesis. Unless there is overwhelming evidence to the contrary, the null hypothesis is assumed to be correct.

H0: u = 1: u ≠ 1,400

When testing hypotheses with the P value, the null hypothesis is rejected if?

The evidence against the null hypothesis is stronger when the p-value is smaller (closer to 0).If the p-esteem is not exactly or equivalent to the predetermined importance level α, the invalid speculation is dismissed;The null hypothesis is not rejected otherwise.

A statement of expectation or prediction that will be tested by research is called a research hypothesis. Read up on the subject that interests you before coming up with your research hypothesis.

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Answer:

BC = 19.4

Step-by-step explanation:

help or no?

Answer:

slope is 2

Step-by-step explanation:

the equation of linear is y=mx+b, where m is the slope

therefore, m=2 which means the slope is 2

Answer:the slope is 2

Step-by-step explanation:

the equation y=mx+b represents m as the slope.

Answer:

D. (4, 0)

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define systems

-x + 5y = -4

4x + 3y = 16

Step 2: Rewrite systems

x = 5y + 4

4x + 3y = 16

Step 3: Solve for y

Step 4: Solve for x

And we have our final answer!

If the series ∑an and ∑bn are both convergent series with positive terms, then the series ∑anbn is also convergent.

This can be proven using the Comparison Test for series convergence. Since an and bn are both positive terms, we can compare the series ∑anbn with the series ∑an∑bn.

If ∑an and ∑bn are both convergent, then their respective partial sums are bounded. Let's denote the partial sums of ∑an as Sn and the partial sums of ∑bn as Tn.

Then, we have:

0 ≤ Sn ≤ M1 for all n (Sn is bounded)

0 ≤ Tn ≤ M2 for all n (Tn is bounded)

Now, let's consider the partial sums of the series ∑an∑bn:

Pn = a1(T1) + a2(T2) + ... + an(Tn)

Since each term of the series ∑anbn is positive, we can see that each term of Pn is the product of a positive term from ∑an and a positive term from ∑bn.

Using the properties of the partial sums, we have:

0 ≤ Pn ≤ (M1)(Tn) ≤ (M1)(M2)

Hence, if ∑an and ∑bn are both convergent series with positive terms, then ∑anbn is also convergent.

Therefore, the given statement is True.

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Answer:

At 10:05 a.m., there are 2 microscopic bacteria cells in the bottle. How many cells will be in the bottle at 10:15 a.m.?

Step-by-step explanation:

The quantity demanded of Super Titan radial tires is changing at a rate of approximately -20,000 tires per week when x = 11, p = 240, and the price per tire is increasing at a rate of 2 dollars per week.

The given equation relating the quantity demanded (Q) to the unit price (p) is \(Q = p + x^2 - 361\), where p is measured in dollars and x is measured in units of a thousand. To find how the quantity demanded is changing, we need to differentiate the equation with respect to time (t), assuming x and p are functions of t.

Differentiating \(Q = p + x^2 - 361\) with respect to t, we get:

dQ/dt = dp/dt + 2x(dx/dt)

Given that dx/dt (the rate of change of x) is 0 since x is constant at 11, and dp/dt (the rate of change of p) is 2 dollars per week, we can substitute these values into the equation:

dQ/dt = 2x(dx/dt) = 2(11)(0) = 0

Therefore, the quantity demanded is not changing with respect to time, as the derivative is zero. The rate of change is 0 tires per week.

It's worth noting that in this scenario, the rate of change of the price per tire does not affect the quantity demanded. The quantity demanded is solely dependent on the value of x in the given equation.

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The line of best fit before the transformation is y = 0.6366x + 2.3220 and after the transformation is y = 0.0411x + 0.5134

A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.

\(\rm m = \dfrac{n\sum xy-\sum x \sum y}{n\sum x^2 - (\sum x)^2} \\\\\rm c = \dfrac{\sum y -m \sum x}{n}\)

We have data as shown in the table.

Let's suppose the line of best fit is:

y = mx + c

Before the transformation, we can calculate the line of best fit.

m = 0.6366

c = 2.3220

y = 0.6366x + 2.3220

After transformation:

Line of best fit after transformation:

y = Mx + C

M = 0.0411

C = 0.5134

Line of best after transformation

\(\rm Transformation = \ log_1_0(y \ value)\)

y = 0.0411x + 0.5134

Thus, the line of best fit before the transformation is y = 0.6366x + 2.3220 and after the transformation is y = 0.0411x + 0.5134

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The solution to the system is (x, y) = (7, 13), which means Lena bought 7 small postcards and 13 large postcards.

What is algebra?

Algebra is a branch of mathematics that deals with mathematical operations and symbols used to represent numbers and quantities in equations and formulas.

Let x be the number of small postcards that Lena bought, and let y be the number of large postcards she bought.

From the problem statement, we know that:

Lena bought a total of 20 postcards, so x + y = 20.

Lena bought 6 more large postcards than small, so y = x + 6.

Now we can substitute the second equation into the first one to eliminate y:

x + (x + 6) = 20

Simplifying the equation, we get:

2x + 6 = 20

2x = 14

x = 7

So Lena bought 7 small postcards and y = x + 6 = 13 large postcards.

The solution to the system is (x, y) = (7, 13), which means Lena bought 7 small postcards and 13 large postcards.

Interpretation: Lena bought more large postcards than small postcards, and the difference between the two is 6. Out of the 20 total postcards, 13 were large and 7 were small.

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Because the p-value is less than 0.05, the null hypothesis should be rejected.

Given,

Null Hypothesis;-

The null hypothesis presupposes that any variation in the selected characteristics you observe in a set of data is the result of chance.

Alternative Hypothesis;-

The alternate response to your research question is the alternative hypothesis (Ha). It asserts that the populace is affected. Your research hypothesis and your alternate hypothesis are frequently identical. Alternatively said, it's the assertion that you anticipate or hope will be accurate.

Here,

Because the p-value is less than 0.05, the null hypothesis should be rejected. The allegation that the proportion of ball bearings with dimension values smaller than 2.20 cm in the current manufacturing process is the same as the proportion in the new process is sufficiently refuted by the evidence.

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Answer:

Step-by-step explanation:

the probability of drawing a face card=12/52

drawing the king of diamonds=1/52

Answer:

Probability of face is 12/52

the magnitude of the resultant force, to the nearest pound, is approximately 721 pounds.

Let's label the two forces as F1 = 500 pounds and F2 = 440 pounds. The angle between the two forces is given as 27 degrees.

Using the law of cosines, we can calculate the magnitude of the resultant force (R) as follows:

R^2 = F1^2 + F2^2 - 2 * F1 * F2 * cos(theta)

R^2 = 500^2 + 440^2 - 2 * 500 * 440 * cos(27°)

R^2 ≈ 250000 + 193600 - 440000 * 0.891

R^2 ≈ 250000 + 193600 - 391840

R^2 ≈ 518760

Taking the square root of both sides, we find:

R ≈ √(518760)

R ≈ 720.52

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Answer:

29

Step-by-step explanation:

Answer:

The options as included in the attachment section are:

A. real numbers B.Cardinality C.element D.Set

The answer is D. Set

Step-by-step explanation:

In mathematics, a set is a group of well-defined objects that share common characteristics as rightly stated in this question. So in a mathematical calculation, the elements or objects collected as a group is called SET. The types of set include empty set, finite set, infinite set, universal set etc.

- Since set represents the whole collection or group, each object, which can be number, letter etc. in the group is an ELEMENT. Likewise, the cardinality of a set refers to the number of elements contained in a particular set.

Answer:

3(x) + 8

Step-by-step explanation:

x being the number

Answer:

3x+8

Step-by-step explanation:

cause x represents the number

Answer:

(4,8)

Step-by-step explanation:

The solution is where the two lines intersect.

The graphs intersect at x=4 and y = 8

(4,8)

Answer:    B: (4,8)

Step-by-step explanation:

y = 3x +2           you will go to positive to on the graph and go up 3 and to the right two because it is positive until you can't no more.

y = -6x + 32

you will go to +32 on the graph and then go down six and since there is no number under -6 you will replace it with one so it will look like this -6x/1

Answer:

The area is 8

Step-by-step explanation:

If the perimeter is 12, we can just start guessing and checking. in this case, if 4 is the length, that means 2 is its width, since 4-2=2. then you find the area(basexhight) 4x2=8!

Answer:

The answer is A. Only rotate one line

Step-by-step explanation:

If you have a set of parallel lines, and you rotate one line upwards, the lines would change to a perpendicular angle.

In general form, the equation is 8x² + 30x - 2x = 0.

In factored form, the equation is 4x(2x + 7) = 0.

To solve the equation 8x² + 30x = 2x, we can rearrange it to bring all the terms to one side:

8x² + 30x - 2x = 0

Combining like terms:

8x² + 28x = 0

Now, let's factor out the common factor of 4x:

4x(2x + 7) = 0

To find the solution set, we set each factor equal to zero and solve for x:

4x = 0 -> x = 0

2x + 7 = 0

2x = -7

x = -7/2

Therefore, the solution set for the equation is {0, -7/2}.

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a. (F) If the sequence {n} converges, then the series an must converge. This statement is false.

The convergence of a sequence does not necessarily imply the convergence of the corresponding series.

b. (T) If a sequence is bounded and monotonic, then the sequence must converge.

This statement is true.

This is known as the Monotone Convergence Theorem.

c. (F) The nth-term test can show that a series converges.

This statement is false.

The nth-term test can only determine the divergence of a series, not its convergence.

d. (T) If the sequence of partial sums converges, then the corresponding series must also converge.

This statement is true.

This is known as the Cauchy criterion for convergence of a series.

e. (F) The harmonic series diverges since its partial sums are unbounded. This statement is false.

The harmonic series diverges because its terms do not approach zero.

f. (F) sinn is not an example of a p-series.

This statement is false. sinn is not a p-series since its terms do not have the form 1/n^p, where p is a positive constant.

g. (T) If a convergence test is inconclusive, you may be able to prove convergence/divergence through a different test.

This statement is true.

There are many convergence tests available, and if one test fails, it may be possible to apply a different test to determine convergence or divergence.

h. (F) If a series diverges, it does not necessarily mean that the corresponding sequence diverges.

This statement is false.

The divergence of the series implies that the corresponding sequence does not converge.

i. (F) If an alternating series fails to meet any one of the criteria of the alternating series test, then the series is not necessarily divergent. This statement is false. If an alternating series fails the alternating series test, it could be convergent or divergent, and further analysis is required to determine its convergence/divergence.

j. (F) Given that an > 0, if an converges, then -1an must converge. This statement is false.

The convergence or divergence of -1an depends on the original convergence or divergence of the series an.

The sum of the series is 14/3.

For the infinite geometric series with first term a=7 and common ratio r=-1/2:

The series converges since the absolute value of the common ratio r is less than 1, which is a necessary and sufficient condition for convergence of a geometric series.

The sum of the series is given by:

S = a / (1 - r) = 7 / (1 + 1/2) = 7 / (3/2) = 14/3.

Therefore, the sum of the series is 14/3.

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Assume that all sequences and series mentioned below are infinite sequences and infinite series, where an is the nth term of the sequence/series.

a. False. The convergence of a sequence does not guarantee the convergence of the corresponding series.

b. True. If a sequence is bounded and monotonic, then it must converge by the monotone convergence theorem.

c. False. The nth-term test only shows whether a series diverges. It cannot be used to show that a series converges.

d. True. If the sequence of partial sums converges, then the corresponding series must also converge.

e. False. The harmonic series diverges because its partial sums are unbounded, not because they are bounded from above.

f. False. sinn is not an example of a p-series. A p-series is of the form ∑n^(-p), where p>0.

g. True. If a convergence test is inconclusive, then we can try using a different test to determine convergence/divergence.

h. False. If an diverges, then we cannot determine whether a converges or diverges without further information.

i. False. An alternating series can be convergent even if it fails to meet one of the criteria of the alternating series test.

j. True. If an>0 and an converges, then -1an must also converge.

The infinite geometric series with first term a=7 and common ratio r=0.5 is given by: 7 + 3.5 + 1.75 + ...

This series converges because |r|=0.5<1. The sum of an infinite geometric series with first term a and common ratio r is given by:

sum = a / (1 - r)

In this case, we have:

sum = 7 / (1 - 0.5) = 14

Therefore, the sum of the series is 14.

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