select the values that make the inequality -7w>-63 true then write an equivalent inequality, in terms of w

\( - 7 > - 63\)

​

The question is incomplete:

Andy currently has a balance of 4,585.92 in an account he has held for 21 years. He opened the account with an initial deposit of 3,278. What is the simple interest rate on the account?

Answer:

Step-by-step explanation:

To find the answer you have to use the formula to calculate the interest rate:

r=(1/t)(A/P-1), where:

r=rate of interest

t= time period=21 years

A= accrued amount=4,585.92

P= principal amount=3,278

Now, you can replace the values in the formula:

r=(1/21)(4,585.92/3,278-1)

r=(0.0476)(0.3989)

r=0.0189→1.89%

According to this, the answer is that the simple interest rate on the account is 1.89%.

Answer:

between 2009 and 2012

Step-by-step explanation:

(2009-2012): 604-258= 346

(2008-2011): 457-435= 22

The linear function that has a slope of -4 and goes to point (9,-10) will be y = -4x - 50.

A straight line on the coordinate plane is represented by a linear function.

A linear function always has the same and constant slope.

The formula for a linear function is f(x) = ax + b, where a and b are real values.

Suppose that the linear function is y = mx + c

As per the given, slope m = -4

Put (9,-10)

-10 = -4 x -10 + c

c = -50

Thus, y = -4x - 50

Hence "y = -4x - 50 is the equation for the linear function with a -4 slope that leads to point (9,-10) in the graph.".

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The rational number pairs are compared as: A. -0.7 > -4  B. -2.5 < 2.5 C. 0 < [3] D. [-8] < 8 E. -5/2 < 7/2  F. 4 > [-5].

The rational number pairs can be compared using the symbols > (greater than), = (equal to), or < (less than).

A. Comparing -0.7 and -4:

Both -0.7 and -4 are both negative numbers.  Since -0.7 is closer to 0 than -4, the answer is -0.7 > -4.

B. Comparing -2.5 and 2.5:

-2.5 is a negative number and 2.5 is a positive number. Since positive numbers are always greater than negative numbers, 2.5 is greater than -2.5, the answer is -2.5 < 2.5.

C. Comparing 0 and [3]:

Assuming [3] is an integer, it is greater than 0. The answer is 0 < 3.

D. Comparing [-8] and 8:

-8 and 8 are both numbers with the same absolute value. However, -8 is a negative number and 8 is a positive number. Since positive numbers are always greater than negative numbers, 8 is greater than -8. The answer is -8 < 8.

E. Comparing -5/2 and 7/2:

-5/2 is a negative number and 7/2 is a positive number. Since positive numbers are always greater than negative numbers, 7/2 is greater than -5/2. The answer is -5/2 < 7/2.

F. Comparing 4 and [-5]:
4 is a positive number and [-5] is a negative number. Since positive numbers are always greater than negative numbers, 4 is greater than [-5]. The answer is 4 > -5.

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The quotient is -58x2 + 131x - 234 with a remainder of -5898.To solve this problem, we need to use long division. The dividend is 223 + 3x2 + 5x - 4 and the divisor is 22 + 2 + 1, which simplifies to 25.

We start by dividing 2 into 22, which gives us 11. We then write 11 above the 2 and multiply it by 25, which gives us 275. We subtract 275 from 223, which gives us -52. We bring down the 3, which gives us -523. We then repeat the process by dividing 2 into 52, which gives us 26. We write 26 above the 5 and multiply it by 25, which gives us 650. We subtract 650 from -523, which gives us -1173. We bring down the 1, which gives us -11731. We divide 2 into 117, which gives us 58.

We write 58 above the x and multiply it by 25, which gives us 1450. We subtract 1450 from -1173, which gives us -2623. We bring down the -4, which gives us -26234. We divide 2 into 262, which gives us 131. We write 131 above the 5 and multiply it by 25, which gives us 3275. We subtract 3275 from -2623, which gives us -5898. Therefore, the quotient is -58x2 + 131x - 234 with a remainder of -5898.

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Answer: a formula

Step-by-step explanation:

Its easy, just because you see that there is a variable, but there is also a formula. The answer could be a formula. If it was all letters, the answer would be variable, but its not. The answer is a formula.

Answer:

B. An Expression

Step-by-step explanation:

An expression is one term or a combination of multiple terms using an addition or subtraction sign.

Hope I was able to help you!

Answer:  89 will go in the box

This means the exact distance between the two given points is \(\sqrt{89}\) which approximates to roughly 9.4339811

===========================================================

Explanation:

To get that answer, we can apply the distance formula

(x1,y1) = (-1,-5) is the first point

(x2,y2) = (4,3) is the second point

Plug the coordinates into the distance formula

\(d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-1-4)^2 + (-5-3)^2}\\\\d = \sqrt{(-5)^2 + (-8)^2}\\\\d = \sqrt{25 + 64}\\\\d = \sqrt{89}\\\\d \approx 9.4339811\\\\\)

--------------------------

Alternative Method:

You could also form a right triangle by adding the point (4, -5). The horizontal leg goes from (-1,-5) to (4,-5) which is a span of 5 units. The vertical leg goes from (4,-5) to (4,3) which is a span of 8 units. The hypotenuse is from (-1,-5) to (4,3) which is the distance we want to find.

After forming the triangle and determining the leg lengths, use the pythagorean theorem and you should get \(\sqrt{89}\) as the length of the hypotenuse. As you can probably guess, the distance formula is effectively a slight rephrasing the pythagorean theorem.

The he statement d(k) + (k + 1) = d(k+1) is true for all natural numbers, n, by mathematical induction.

To prove that the statement is true for all natural numbers, n, we can use mathematical induction.

The statement we want to prove is that d(k) + (k + 1) = d(k + 1), where d(n) represents the total number of dots in a pattern of n squares.

Base Case (n = 1):

First, let's prove the statement for the base case, n = 1.

For n = 1:

d(1) + (1 + 1) = d(1) + 2

Now, consider a single square with 1 dot.

In this case, d(1) = 1.

So, we have:

1 + 2 = 3

Now, let's consider a pattern of 2 squares (n = 2).

The first square has 1 dot, and the second square has 2 dots. So, d(2) = 1 + 2 = 3.

So, the statement is true for n = 1.

Inductive Hypothesis (Assume true for n = k):

Now, assume that the statement is true for some arbitrary natural number k.

That is, assume that: d(k) + (k + 1) = d(k + 1)

Inductive Step (Prove true for n = k + 1):

To prove that the statement is true for n = k + 1.

d(k + 1) + (k + 2) = d(k + 2)

Now, consider a pattern of (k + 1) squares.

By the inductive hypothesis, assume that the statement is true for k squares:

d(k) + (k + 1) = d(k + 1)

Now, let's add one more square to the pattern.

This square will have (k + 2) dots.

So, the total number of dots in the pattern of (k + 1) squares plus the (k + 2) dots in the additional square is:

d(k + 1) + (k + 2)

And by the inductive hypothesis, d(k) + (k + 1) = d(k + 1).

Therefore:

d(k + 1) + (k + 2) = (d(k) + (k + 1)) + (k + 2) = d(k) + (k + 1) + (k + 2)

Now, simplify:

d(k + 1) + (k + 2) = d(k + 1) + (k + 1 + 1)

So, it is shown that for n = k + 1, d(k + 1) + (k + 2) = d(k + 1) + (k + 1) + 1.

Since it is assumed the statement to be true for k and proved it for k + 1, it is shown that the statement is true for all natural numbers, n, by mathematical induction.

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The pairs of expressions (a), (b), (c), and (d) are not logically equivalent because they do not yield the same truth value when p and q are assigned certain values.

For (a):
p → q is false if p is true and q is false, but q → p is true in this case. Therefore, these expressions are not logically equivalent.

For (b):
¬p → q is true if p is false and q is true, but ¬p ∨ q is false in this case. Therefore, these expressions are not logically equivalent.

For (c):
(p → q) ∧ (r → q) is false if p is true, q is false, and r is true, but (p ∧ r) → q is true in this case. Therefore, these expressions are not logically equivalent.

For (d):
p ∧ (p → q) is true if p is true and q is true, but p ∨ q is false in this case. Therefore, these expressions are not logically equivalent.

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Answer:

Z 26 y25 ✖️ 24 good gonna ng thank you

The arc length along a circle with a radius of 10 units and a subtended central angle of 275° is 27.5π units.

To find the arc length (s) along a circle, we use the formula:

s = rθ

Given that the radius (r) is 10 units and the central angle (θ) is 275°, we need to convert the angle to radians.

θ (in radians) = θ (in degrees) * π/180

θ = 275° * π/180

θ = (11π/4) radians

Now we can substitute the values into the formula to calculate the arc length:

s = rθ

s = 10 * (11π/4)

s = (110π/4)

s = 27.5π

Therefore, the exact answer for the arc length is 27.5π units.

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(a) The probability of selecting both green cellphones is 0.5102. (b) The probability of selecting 1 green and 1 yellow cellphone is 0.2041.

If we are sampling with replacement, it means that after each selection, the cellphone is returned to the box before the next selection is made. Therefore, the probability of selecting a cellphone remains the same for each draw.

(a) P(both green):

The probability of selecting a green cellphone from a box of 7 cellphones containing 5 green and 2 yellow cellphones is:

P(selecting green) = number of green cellphones / total number of cellphones

                 = 5 / 7

Since we are sampling with replacement, the probability of selecting a green cellphone on the first draw and then selecting another green cellphone on the second draw is the product of the individual probabilities:

P(both green) = P(selecting green on first draw) * P(selecting green on second draw)

             = (5 / 7) * (5 / 7)

             = 25 / 49

             ≈ 0.5102 (rounded to four decimal places)

Therefore, P(both green) is approximately 0.5102.

(b) P(1 green and 1 yellow):

The probability of selecting a green cellphone on the first draw and a yellow cellphone on the second draw is:

P(1 green and 1 yellow) = P(selecting green on first draw) * P(selecting yellow on second draw)

                       = (5 / 7) * (2 / 7)

                       = 10 / 49

                       ≈ 0.2041 (rounded to four decimal places)

Therefore, P(1 green and 1 yellow) is approximately 0.2041.

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The inequality that can be used to determine the number of CDs, x, Karen can order is 12x + 4 ≤ 60.

Let's analyze the given information. The online music store charges $12 per CD, and Karen has $60 to spend on CDs. In addition to the cost per CD, there is a flat shipping rate of $4 for each order.

To determine the total cost of Karen's order, we multiply the cost per CD by the number of CDs she wants to order (x). The total cost is given by 12x. Including the flat shipping rate of $4, the inequality representing Karen's spending limit can be expressed as: 12x + 4 ≤ 60

This inequality ensures that the total cost of the CDs, including shipping, does not exceed Karen's budget of $60. By solving this inequality, we can find the maximum number of CDs (x) Karen can order within her budget.


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To estimate the integral √(ln(2)) ln(x) dx within an accuracy of 0.01 using upper and lower sums for a uniform partition of the interval [1, e], we need to divide the interval into at least n subintervals. The answer is obtained by finding the minimum value of n that satisfies the given accuracy condition.

We start by determining the interval [1, e], where e is approximately 2.718. The function ln(x)^2 is increasing, meaning that its values increase as x increases. To estimate the integral, we use upper and lower sums with a uniform partition. In this case, the width of each subinterval is (e - 1)/n, where n is the number of subintervals.

To find the minimum value of n that ensures the accuracy condition S - S < 0.01, we need to evaluate the difference between the upper sum (S) and the lower sum (S) for the given partition. The upper sum is the sum of the maximum values of the function within each subinterval, while the lower sum is the sum of the minimum values.

Since ln(x)^2 is increasing, the maximum value of ln(x)^2 within each subinterval occurs at the right endpoint. Therefore, the upper sum can be calculated as the sum of ln(e)^2, ln(e - (e - 1)/n)^2, ln(e - 2(e - 1)/n)^2, and so on, up to ln(e - (n - 1)(e - 1)/n)^2.

Similarly, the minimum value of ln(x)^2 within each subinterval occurs at the left endpoint. Therefore, the lower sum can be calculated as the sum of ln(1)^2, ln(1 + (e - 1)/n)^2, ln(1 + 2(e - 1)/n)^2, and so on, up to ln(1 + (n - 1)(e - 1)/n)^2.

We need to find the minimum value of n such that the difference between the upper sum and the lower sum is less than 0.01. This can be done by iteratively increasing the value of n until the condition is satisfied. Once the minimum value of n is determined, we have the required number of subintervals for the given accuracy.

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Answer:

B. 16p+6

Step-by-step explanation:

Answer:

B . 16p + 6

Step-by-step explanation:

12p + 9 + 4p -3

collect like terms

(12p + 4p) + (9 - 3)

16p + 6

Answer:

338

Step-by-step explanation:

26 divided by 2 is 13. the width is 13. 26 times 13 is 338

hope this helps!

Answer:

30

Step-by-step explanation:

Answer:

Shreya gave 30 pieces of gum away.

Step-by-step explanation:

Equation: 65-?=35

Switch it up: 65-35=30

Solved Equation*65-30=35*

Answer:

Simplify the expression using the distributive property.

6(x +7)

Group of answer choices

6x + 42

6x + 7

x + 42

Step-by-step explanation:

Question:

Use the expression to complete the statements.

\((0.5)^{10\\\)

________ is the  power .

(0.5) is the  ________

A ______ is another way to write

Answer:

0.5 is the base

10 is the power

\((0.5)^{10\\ = (\frac{1}{2})^{10}\) -- another way to write

Step-by-step explanation:

Given

\((0.5)^{10\\\)

Required

Fill ion the gaps

\((0.5)^{10\\\) is pronounced as; 0.5 raise to the power of 10

From the above statement, we can deduce the following:

0.5 is the base

10 is the power

Lastly, another way to write \((0.5)^{10\\\)

Express 0.5 as a fraction

\((\frac{5}{10})^{10}\)

Simplify the fraction

\((\frac{5/5}{10/5})^{10}\)

\((\frac{1}{2})^{10}\)

Hence:

\((0.5)^{10\\ = (\frac{1}{2})^{10}\)

Answer:

30,000

Explanation:

This is less than 35000. And so we need to round the number down to the nearest ten thousand. And so if we round 34699 to the nearest ten thousand, it becomes 30000.

Answer:

35,000

Step-by-step explanation:

the explanation is that when rounding up from 34,699 it round up to

35,000 because 6 is greater than 5 which means you round up the number in front of the 5 through 9. 4 through 0. You round it to 0 so it would be 35,00.

In RAND function, when we click anyplace in the succeed sheet use duplicate and afterward glue as values. returns an irregular number that is more noteworthy than or equivalent to 0 and under 1.

The subject of arithmetic incorporates amounts and their varieties, conditions and related designs, shapes and their areas, and where they can be found. The expression "function" alludes to the connection between a bunch of information sources, every one of which has a related result. An association among data sources and results in which each info prompts a solitary, particular outcome is known as a capability. Each capability is given a space and a codomain, or scope. Normally, f is utilized to signify capabilities (x). input is a x. There are four fundamental sorts of capabilities open. in view of the accompanying variables: on capabilities, coordinated capabilities, many-to-one capabilities, inside capabilities, and on capabilities.

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The length of the wall in her drawing is given as follows:

5.6 inches.

A scaling measurement represents the proportion of a total dimension, as it is the ratio between the length of the drawing with the actual length of the object.

On her drawing a 10-foot wall is 8 inches, hence the scale measurement for this problem is given as follows:

8 inches/10 feet = 0.8 inches per feet.

The scale means that each feet of an actual object is represented by a length of 0.8 inches on the drawing.

Audrey wants to add a 7 foot wall to the drawing, meaning that the length of the drawing is given as follows:

7 x 0.8 = 5.6 inches.

(applying the proportion found from the scale measurement).

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a) True, b) False, c) False, d) True, e) False, f) False, g) True

a) The statement is true. The symbol "∅" represents the empty set, which does not contain any elements. Since 0 is not an element of the empty set, the statement "0 ∈ ∅" is false.

b) The statement is false. The symbol "{0}" represents a set containing the element 0. The empty set, represented by "∅", does not contain any elements. Therefore, the empty set is not an element of the set {0}.

c) The statement is false. The symbol "{0}" represents a set containing the element 0. However, the empty set, represented by "∅", does not contain any elements. Therefore, the set {0} is not a subset of the empty set.

d) The statement is true. The empty set, represented by "∅", does not contain any elements. Every set is a subset of the empty set, including the set {0}.

e) The statement is false. The symbol "{0}" represents a set containing the element 0. In this case, {0} is not an element of itself. Therefore, the statement "{0}∈{0}" is false.

f) The statement is false. The symbol "{0}" represents a set containing the element 0. In this case, {0} is not a proper subset of itself. Therefore, the statement "{0}⊂{0}" is false.

g) The statement is true. The symbol "{∅}" represents a set containing the empty set. In this case, {∅} is a subset of itself because it contains the element ∅. Therefore, the statement "{∅} ⊆ {∅}" is true.

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The quantity of more flour that she needs to add would be = 3/4

A fraction is defined as the representation of the part of a whole data in a form of numerator and denominator.

The quantity of flour Ryan needs for baking = 3¼

The quantity of flour she has already added = 2½

The remaining amount that she needs to add;

= 3¼-2½

= 3/4

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