question will be in picture

Answer:

(5/2, 1/4)

Step-by-step explanation:

See Image below:)

Answer:

With algebraic expressions, you can’t add and subtract any terms like you can add and subtract numbers. Terms must be like terms in order to combine them. So, you can’t always simplify an algebraic expression by following the order of operations. You have to use the distributive property to rewrite the expression and then combine like terms to simplify. With numeric expressions, you can either simplify inside the parentheses first or use the distributive property first.

Step-by-step explanation:

Answer:

Algebraic expressions have terms, Terms must be like to add and subtract,    You can’t always follow the order of operations with algebraic expressions.

Step-by-step explanation:

Answer:

X ≥ 3   (D)

Step-by-step explanation:

I got it right on Khan Academy :)

Some things you can do to help you decide on a bank include:

When trying to locate a bank that offers competitive returns on savings and favorable borrowing costs, consider comparing interest rates.

To gather additional information about certain banks, why not solicit feedback from acquaintances? People who have personal experience with a particular bank can provide valuable insights into their satisfaction levels with regards to customer service, for example.

Finally, taking the time to visit branch offices can offer valuable clues regarding convenience level and overall atmosphere.

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We will employ the z score table in this problem.

The shaded part is our area of interest.We will be required to seek the value of the z score at 0.11.

when we ahave a probability of 0.11 or 11%

This corresponds with a z-score of -1.225.

We then substitute into our z-score equation:

where

Therefore, we have

Answer:

Task 2:

A certain shade of pink is created by adding 3 cups of red paint to 7 cups of

white paint.

a. How many cups of red paint should be added to 1 cup of white paint?

cups of white

paint

cups of red

paint

1

7

b. What is the constant of proportionality?

Answer: 6.55

Step-by-step explanation:

Answer:

a,b and dcbecause it equals 1

Step-by-step explanation:

you have to find something that is gonna divide by itself to get a postive number, so d wont work bc it would be 24 divided by 25

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

Number of 8 pounds before boxes to be removed from cargo = b

Weight in pound of crate to be loaded into cargo = 600 pounds

To achieve a balance , no more Than 400 pounds may be taken off the plane

Hence,

Number of pounds removed must not be more than 400 pounds

(8 pounds * b) ≤ 400

8b ≤ 400

Divide both sides by 8

b ≤ 50

The numbers could be:

6.45, 6.46, 6.47, 6.48, 6.49, 6.50, 6.51, 6.52, 6.53, and 6.54.

The place value of a number is given as:

Example:

1234.567

1 = thousand place value

2 = hundred place value

3 = tens place value

4 = ones place value

5 = tenths place value

6 = hundredths place value

7 = thousandths place value

We have,

Shawn rounded a number to the nearest tenth and got 6.5.

When he rounded it to the nearest whole number, he got 6.

Now,

The number = 6.45

Rounded to the nearest tenth = 6.5

Rounded to the nearest whole number = 6

The numbers can be 6.45, 6.46, 6.47, 6.48, 6.49, 6.50, 6.51, 6.52, 6.53, and 6.54.

Thus,

The possible numbers are:

6.45, 6.46, 6.47, 6.48, 6.49, 6.50, 6.51, 6.52, 6.53, and 6.54.

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By completing the square, the vertex form of quadratic equation is (x - 1)² - 3.

In this question we find a quadratic equation in standard form, which must be modified into vertex form by completing the square, which consists in modifying part of the equation into a perfect square trinomial. The vertex form of the quadratic equation is:

y = C · (x - h)² + k

First, write the polynomial in standard form:

x² - 2 · x - 2

Second, use algebra properties to expand the expression:

(x² - 2 · x - 2) + 0

(x² - 2 · x - 2) + 3 - 3

(x² - 2 · x + 1) - 3

Third, use the definition of perfect square trinomial:

(x - 1)² - 3

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The solution of the compound inequality is x < 3/4 or x >2.

In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.

Given:

A compound inequality:

4x - 5 < -2 or x + 1 > 3.

Solving inequality,

4x < -2 + 5 or x > 2

4x < 3 or x > 2.

x < 3/4 or x >2.

Therefore, the solution is x < 3/4 or x >2.

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Answer:

The probability that a randomly chosen widget weighs more then 19 grams is 0.468.

Step-by-step explanation:

X = Widget weights produced at Acme Widget Works

It is provided that X is normally distributed with mean 17.46 grams and variance 375.67 grams.

Compute the probability that a randomly chosen widget weighs more then 19 grams as follows:

\(P(X>19)=P(\frac{X-\mu}{\sqrt{\sigma^{2}}}>\frac{19-17.46}{\sqrt{375.67}})\)

                  \(=P(Z>0.08)\\\\=1-P(Z<0.08)\\\\=1-0.53188\\\\=0.46812\\\\\approx 0.468\)

Thus, the probability that a randomly chosen widget weighs more then 19 grams is 0.468.

"Let x be any vector in \(C^n\), let q = \(x^T\)Ax, and let A be an n-by-n real matrix with the characteristic that \(A^T\) = A. By confirming that q = q, the equalities below demonstrate that q is a real number.

Let A be n x n real matrix with the property that. \(A^T = A\).

if Ax = λx.

(Ax) = λx

\(xA^T=\) λx

xA = λx( and therefore dλ are real, A =\(A^{T}\) = and dλ = λ).

x(A-λL) = 0

Therefore, A-λL is a real matrix.

Assume that A is a n by n matrix with a characteristic polynomial defined by det(λI−A). The number of times an eigenvalue of A appears as a root of that distinctive polynomial is known as its multiplicity.

and x (λI-A) = 0

Therefore, x(λL-A) is also real.

X1 is real.

Therefore, since is one of A's eigenvalues, there exists a nonzero vector X\(C^n\) such that AX=X

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Answer:

$6.84

Step-by-step explanation:

This is quite a simple question, simply add the new deposited amount into the original balance to get your answer.

The option that best describes the change in viewers the network is experiencing is B. Each year, the total number of viewers increases to approximately 120% of the previous year's total.

When 't' surpasses 1/ln(5) at 3.5, the expression yields a negative result; connoting the network is witnessing a dwindling viewership.

Consequently, the network initially experiences an intensifying viewership ratio which then fades; in accordance with Option B, "Each year, the total number of viewers increases to roughly 120% of the preceding year's sum". Clearly, this demarcation reveals itself as the accurate answer.

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Answer:

y=x+2

Step-by-step explanation:

we know the slopes have to be equal because the lines are parallel, so the slope is 1, or written as x. plug the point given, (-6,-4), and the slope, 1, into the y=mx+b equation to find the y-intercept. then solve. then put the slope and y-intercept together for the equation of line h.

y=mx+b, m=1, x=-6, y=-4

-4=(1)(-6)+b

-4=-6+b

2=b

y=x+2

Answer:

-14a^2b-42ab^2+56abc

Step-by-step explanation:

You can use the FOIL method

multiply the first numbers

then inner

then outer

then last

The sign that makes the statement true is < (less than): 1/3 < 2/3.

In mathematics, an inequality is a mathematical expression that shows the relationship between two values or quantities, usually indicating which value is greater than, less than, or equal to the other. Inequalities are represented by the symbols < (less than), > (greater than), ≤ (less than or equal to), or ≥ (greater than or equal to). For example, x < y means x is less than y, and x ≥ y means x is greater than or equal to y. Inequalities can also involve variables, and can be solved to find the range of values that make the inequality true.

Here,

The statement 1/3 < 2/3 means that the value of 1/3 is less than the value of 2/3. In other words, when we compare the two fractions, we find that 2/3 is larger than 1/3.

To understand this better, we can think of a whole object (e.g. a pizza) that we want to divide into three equal parts. If we take only one of those parts, that would be represented by the fraction 1/3. On the other hand, if we take two of those equal parts, that would be represented by the fraction 2/3. Therefore, 2/3 is a larger fraction than 1/3, which is why the sign < (less than) makes the statement true.

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The probability of the baseball player getting exactly 4 hits out of 10 times at bat is approximately 0.161, or 16.1%.

To calculate the probability of a baseball player getting exactly 4 hits out of 10 times he was up at bat, we need to use the binomial probability formula.

The binomial probability formula is given by:P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)

Where:

P(X = k) is the probability of getting exactly k hits

n is the total number of trials (in this case, the player's 10 times at bat)

k is the number of successful trials (in this case, 4 hits)

p is the probability of success in a single trial (in this case, the player's batting average, 0.298)

(1 - p) is the probability of failure in a single trial

Plugging in the values:

P(X = 4) = C(10, 4) * (0.298)^4 * (1 - 0.298)^(10 - 4)

Using the combination formula C(n, k) = n! / (k! * (n - k)!):

P(X = 4) = 10! / (4! * (10 - 4)!) * (0.298)^4 * (1 - 0.298)^(10 - 4)

Calculating the values:

P(X = 4) ≈ 0.161

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Answer:

7)  Domain:  (-∞, ∞)

    Range:  [-1, ∞)

8)  Domain:  (-∞, ∞)

    Range:  (-∞, ∞)

Step-by-step explanation:

Interval notation

( or ) : Use parentheses to indicate that the endpoint is excluded.

[ or ] : Use square brackets to indicate that the endpoint is included.

Domain & Range

The domain is the set of all possible input values (x-values).

The range is the set of all possible output values (y-values).

From inspection of the graph, the line is continuous.

The arrows either end of the line indicate that the line continues indefinitely in those directions.

Therefore, the domain of the relation is unrestricted:  (-∞, ∞)

From inspection of the graph, the minimum y-value is y = -1.  

The end behavior of the relation is:

\(y \rightarrow + \infty, \textsf{as } x \rightarrow - \infty\)

\(y \rightarrow + \infty, \textsf{as } x \rightarrow +\infty\)

Therefore, the range of the relation is restricted:  [-1, ∞)

From inspection of the graph, the line is continuous.

The arrows either end of the line indicate that the line continues indefinitely in those directions.

Therefore, the domain of the relation is unrestricted:  (-∞, ∞)

The end behavior of the function is:

\(y \rightarrow + \infty, \textsf{as } x \rightarrow - \infty\)

\(y \rightarrow -\infty, \textsf{as } x \rightarrow +\infty\)

Therefore, the domain of the relation is unrestricted:  (-∞, ∞)

\(\text{Given that,}\\\\\dfrac{dy}{dx} = x^2 y^2\\\\ \implies \dfrac{d^2 y}{dx^2} = x^2\cdot 2y \dfrac{dy}{dx}+ y^2 \cdot 2x\\\\\implies \dfrac{d^2 y}{dx^2} = x^2 \cdot 2y \cdot x^2 y^2 +2xy^2\\\\\implies \dfrac{d^2 y}{dx^2} =2x^4y^3 + 2xy^2 = 2xy^2(x^3y+1)\)

Answer:

The cousin would be longer.

Step-by-step explanation:

4/5 = .8, and 3/4= .75, making the cousin longer at birth.

Answer:

Step-by-step explanation:

(5 - 2i)^2

25 - 10i - 10i + 4I^2

25 -20i - 4

21 - 20i

The set of length which can be a triangle are:

All you have to do is use the triangle inequality theorem, which states that the sum of the lengths of the two sides of a triangle is always greater than the third. If all three combinations are true, you get a triangle.

We must check one by one

4+14 >16.

4+16>14

16+14>4

4+8=>9

4+9>8

9+8>4

11.3+3.4= 14.7

6+5>7.

6+7>5

7+5>6

That meet the requirements of triangle inequality are

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Answer:

3.14

Hoped I helped -

Sleepy~

Answer:

-15

Step-by-step explanation:

When functions are "nested" like this (nested is not a math word; the mathy word is composed or composition) you need to start all the way on the inside.

f(g(-3))

means find g(-3) first, then put that answer into f.

g(x) = x - 7

g(-3) = -3 - 7

g(-3) = -10

We found g(-3) is -10, so now put -10 into f.

f(x) = 2x + 5

f(-10) = 2(-10) + 5

= -20 + 5

= -15

y = 6x + 2 is the function which Adam charges a rate of $6 per hour and an additional fee of $2 for the bus fare.

The linear function in the form y = mx + b represents the situation where y represents the cost of the babysitting job

x represents the number of hours, "m" represents the hourly rate, and "b" represents the additional fee (bus fare).

y = 3x + 2 represents an hourly rate of 3 and an additional fee of 2.

y = 3x + 1 represents an hourly rate of 3 and an additional fee of 1.

y = 6x + 2 represents an hourly rate of 6 and an additional fee of 2.

y = -6x + 2 represents a negative hourly rate of -6 and an additional fee of 2.

Hence, y = 6x + 2 is the which Adam charges a rate of $6 per hour and an additional fee of $2 for the bus fare.

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