6.) Will has -$55.00 in his bank account. If he saves the $2.50 his mom gives him for lunch
every day, how many days will
it be until he has a balance of at least $0?
MT
Inequalities

The difference between the number of expected outcomes and the number of actual outcomes = 5

We have to given that;

Olivia flips a two-sided counter and then spins a spinner with six equal-size sections labeled 1 through 6.

Now, She tosses a two sided counter and spins a spinner with six equal sized sections numbered 1 to 6.

Then, Probability of the counter landing on either of the two sides is exactly = (1/2)

Probability of the counter landing on the red side = (1/2)

Probability of the spinner landing in a region greater than 3 = Probability of the spinner landing in a region of 4, 5 or 6.

P = (3/6) = (1/2)

In one toss and spin, the probability of a toss landing on red and the spinner landing on a number greater than 3 is,

p = (1/2) × (1/2)

p = (1/4)

Expected number of times that a toss will land on a red and a spinner will land on a number greater than 3 in 80 trials

= np = 80 × (1/4) = 20

And, Number of actual times that the toss lands on a red and a spinner lands on a number greater than 3 in 80 trials = 25

Hence, The difference between the number of expected outcomes and the number of actual outcomes is,

= 25 - 20

= 5

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The triangle midsegment is a very important concept in geometry, and the triangle midsegment theorem states that the midsegment of a triangle is parallel to the third side and has a length equal to half of the length of the third side

The triangle midsegment theorem states that the midsegment of a triangle is parallel to the third side of the triangle and has a length that is equal to half of the length of the third side.

In this explanation, we will define the midsegment of a triangle and explain the triangle midsegment theorem in more detail.

To begin, let's consider a triangle ABC with midpoints D and E on sides AB and AC respectively. The segment DE is the midsegment of triangle ABC.

According to the triangle midsegment theorem, the length of DE is equal to half the length of the third side of the triangle, BC. Mathematically, this can be represented as follows:

DE = BC/2

In addition to the length, the midsegment of a triangle is also parallel to the third side. This means that if we extend the midsegment, it will eventually intersect the third side of the triangle.

The triangle midsegment theorem states that the midsegment of a triangle is parallel to the third side and also has the same length as half of the third side.

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As the firm develops a specific sort of sensor and ships them in boxes of four, each sensor weighed 10 grams at first.

In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical phrase with two equal sides separated by an equal sign is called an equation. An example of an equation is 4 + 6 = 10.

Here,

Let's call the original weight of each sensor "w". The total weight of 4 sensors would be 4w.

With the new design, each sensor weighs 9 grams more, so each sensor weighs w + 9 grams. The total weight of 4 sensors is 76 grams, so we can write an equation:

4(w + 9) = 76

Expanding the left-hand side and solving for w, we have:

4w + 36 = 76

4w = 40

w = 10

So each sensor originally weighed 10 grams as company manufactures a special type of sensor, and packs them in boxes of 4 for shipment.

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Answer:

The GCF of the coefficients is correct.

The variable c is not common to all terms, so a power of c should not have been factored out.

In step 6, David applied the distributive property.

Step-by-step explanation:

Given the polynomial :

80b⁴ – 32b²c³ + 48b⁴c

The Greatest Common Factor (GCF) of the coefficients:

80, 32, 48

Factors of :

80 : 1, 2, 4, 5, 8, 10, 16, 20, 40, and 80

32 : 1, 2, 4, 8, 16, and 32

48 : 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48.

GCF = 16

b⁴, b², b⁴

b⁴ = b * b * b * b

b² = b * b

b⁴ = b * b * b * b

GCF = b*b = b²

GCF of c³ and c

c³ = c * c * c

c = c

GCF = c

We can see that David's GCF of the coefficients are all correct

From the polynomial ; 80b⁴ does not contain c ; so factoring out c is incorrect

In step 6 ; the distributive property was used to obtain ; 16b²c(5b² – 2c² + 3b²)

The given fraction (x^2-25)/(x^2-x-20) expressed in simplest form is (x+5)/(x+4). (Option C)

A fraction is in simplest form if the numerator and denominator have no common factors other than 1. In order to solve the given fraction, the numerator and denominator must be factorized, and the common factor will be canceled out.

Factoring x^2 – 25 using the difference of squares formula that states that a^2 – b^2 = (a + b)(a - b)

x^2 – 25 = x^2 – 5^2 = (x + 5)(x – 5)

Factoring x^2 – x – 20,

x^2 – x – 20 = x^2 + 4x – 5x – 20 = x(x + 4) -5(x + 4) = (x + 4)(x – 5)

Hence, factor (x – 5) is there in both numerator and denominator, it is canceled out. Hence the fraction in the simplest form is:

(x + 5)(x – 5)/ (x + 4)(x – 5) = (x + 5)/(x + 4)

Note: The question is incomplete.  The complete question probably is:  What fraction represents(x^2-25)/(x^2-x-20) expressed in simplest form. A) 5/4 B) (x-5)/(x-4) C) (x+5)/(x+4) D)25/(x+20)

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Answer:

Step-by-step explanation:

To evaluate the given expression, we need to substitute the given values for x, y, and z. The expression becomes:

yz + x²

Substituting the given values, we get:

(6.1 * 0.2) + (3.2^2)

This simplifies to:

1.22 + 10.24

Therefore, the value of the expression is approximately 11.46.

11.46

gimme brainlyest gang

Answer: 6

Step-by-step explanation:

If you divide both sides by 63 it isolates the t and leaves you with 6=t.

Answer:

  20.086

Step-by-step explanation:

The result is 20.0855.... The digit in the 4th decimal place is 5, so the digit 5 in the third decimal place gets increased to 6 by the rounding.

Any scientific or graphing calculator can do this for you, as can many online calculators, and any spreadsheet. The spreadsheet formula is =ROUND(EXP(3),3).

  e³ ≈ 20.086

Answer:

0.050 brah

Step-by-step explanation:

Car 1

Car 2

Car 1

Car 2

Find V(6) for both cars and compare

Car 1

Car 2

As we see the difference is significant and car 2 has much greater value

Answer:

he finished 20.045 miles in 1 hour

i think this is what the question is asking

Answer:

See Explanation

Step-by-step explanation:

Use the formula rate = distance/time

Rate= 26.2/1.307

Rate= 20.06 Mph

Answer:

z=-13/7

Step-by-step explanation:

1. Add 3z(7z+5=-8)

2. Subtract 5(7z=-13)

3. Divide 7(z=-13/7)

Answer:

5 to 3

Step-by-step explanation:

The desired outcomes are 4 or red.

Here are all the possible outcomes:

1 red

1 red

1 red

2 green

3 blue

3 blue

4 yellow

4 yellow

The desired outcomes are in boldface. There are 5 desired outcomes.

There are 3 outcomes that are not desired.

odds of 4 or red = 5 to 3

Answer:

5/8

Step-by-step explanation:

Answer:

the slope is always X

Step-by-step explanation:

y=mx+b

X is the slope variable

Positive value of a vertically stretches the graph of f when a > 1 or shrinks the graph of f when a < 1. h translates the graph of f to the left when h < 0 or right when h > 0.

Several real-world scenarios use exponential functions, including population increase, compound interest, radioactive decay, and the spread of diseases. For instance, an exponential function may be used to simulate the expansion of a bacterial population, with the rate of increase being proportional to the population size. Similarly, compound interest, which applies the rate of interest to the principal sum across a number of periods, can be represented by an exponential function.

Positive value of a vertically stretches the graph of f when a > 1 or shrinks the graph of f when a < 1. h translates the graph of f to the left when h < 0 or right when h > 0 and k translates the graph of f up when k > 0 and down when k < 0.

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Answer:

26.2244 mi

Step-by-step explanation:

Step 1: Find conversion

1 mi = 1.609 km

Step 2: Use Dimensional Analysis

\(42.195 \hspace{2} km (\frac{1 \hspace{2} mi}{1.609 \hspace{2} km} )\)

26.2244 mi

The sequence with the given nth term is converges, the limit of the sequence is 8.

To determine the convergence or divergence of the sequence, we can use the limit test:

First, we find the limit of the nth term:

lim n→∞ (4n^4 / (8^n)) = lim n→∞ [(4/8^n) * n^4]

Since the exponential term dominates as n goes to infinity, we can apply L'Hopital's rule to simplify:

lim n→∞ [(4/8^n) * n^4] = lim n→∞ [(4 * n^4) / (8^n)] = lim n→∞ [(16n^3) / (8^n * ln 8)]

Again, the exponential term dominates as n goes to infinity, so the limit approaches 0. Therefore, by the limit test, the series converges.

To find the limit, we can use the formula for the sum of an infinite geometric series:

S = a / (1 - r)

where a is the first term and r is the common ratio. In this case, a = 4 and r = 1/2, so

S = 4 / (1 - 1/2) = 8

Therefore, the limit of the sequence is 8.

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The parent function is f(x) = 7x + 5.

So let's find the equation for each transformation:

a) The function f reflected about the y-axis and translated 3 units left.

A reflection about the y-axis can be calculated just changing the sign of the variable x:

Now, in order to translate 3 units left, we just need to add 3 units to the x-value:

b) The function f stretched vertically by a factor of 3 and translated up by 2 units.

In order to stretch up the function, we multiply the whole function by the factor:

Then, to translated 2 units up, we add 2 units of the function:

c) The function f translated 2 units down and 3 units right.

To do a translation of 2 units down, we subtract 2 units of the function, and to translate 3 units right, we subtract 3 units from the value of x:

d) The function f stretched vertically by a factor of 2 and translated down by 3 units.

In order to stretch up the function, we multiply the whole function by the factor:

Then, to translated 3 units down, we subtract 3 units of the function:

On factorizing the polynomial 3m²-9 we get 3(m²-3).

The factor of polynomial is defined as the process of expressing the polynomial as a product of two or more polynomials.

For Example : the factors of x²-16 are (x+4)(x-4).

In the given question we need to factor

3m²-9

here 9 can be written as 3*3

rewriting the above equation we get

3m²-3*3

As both the terms contain 3 we can take 3 common from both the terms ;

taking 3 common from each term we get ,

=3(m²-3)

Therefore , On factorizing 3m²-9 we get 3(m²-3) .

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Answer:

19

Step-by-step explanation:

Answer:

E

Step-by-step explanation:

If you break each classification of what items metter most you get the following percentahes:

Books             48%

Study Areas     5%

Classes             6%

Movies             20%

A - you could make an argument that this MAY be an accurate reflection but the percentage does not bring 15% into the data so this seems like conjecture.

B - Data suggest a higher support for books at 48%

C - Data suggest 1 or two in a group of 25 would answer study areas

The three solutions of the equation y = -2x - 1 are (–2, 3), (1, –3), and (2, –4).

To find the solutions, we substitute different values of x into the equation and solve for y.

For the first solution, when x is –2, we have y = -2(-2) - 1 = 3. Therefore, the first solution is (-2, 3).

For the second solution, when x is 1, we have y = -2(1) - 1 = -3. Thus, the second solution is (1, -3).

For the third solution, when x is 2, we have y = -2(2) - 1 = -4. Hence, the third solution is (2, -4).

These three points satisfy the equation y = -2x - 1, and therefore, they are the solutions of the equation. They represent coordinate pairs (x, y) where the equation holds true.

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The rate of change of z with respect to t is given by [9e^t - e^(2t) - e^(-t)] / (e^(2t) + (9 - e^(-t))^2).

To use the chain rule to find dz/dt, we first need to find the partial derivatives of z with respect to x and y.

∂z/∂x = 1/(1 + (y/x)^2) * (y/x^2) = y/(x^2 + y^2)
∂z/∂y = -1/(1 + (y/x)^2) * (1/x) = -x/(x^2 + y^2)

Now we can apply the chain rule:

dz/dt = ∂z/∂x * dx/dt + ∂z/∂y * dy/dt

Substituting in the given values:

dx/dt = e^t
dy/dt = e^(-t)

x = e^t
y = 9 - e^(-t)

∂z/∂x = y/(x^2 + y^2) = (9 - e^(-t)) / (e^(2t) + (9 - e^(-t))^2)
∂z/∂y = -x/(x^2 + y^2) = -e^t / (e^(2t) + (9 - e^(-t))^2)

Substituting these into the chain rule formula:

dz/dt = [(9 - e^(-t)) / (e^(2t) + (9 - e^(-t))^2)] * e^t + [-e^t / (e^(2t) + (9 - e^(-t))^2)] * e^(-t)

Simplifying:

dz/dt = [9e^t - e^(2t) - e^(-t)] / (e^(2t) + (9 - e^(-t))^2)

Therefore, the rate of change of z with respect to t is given by [9e^t - e^(2t) - e^(-t)] / (e^(2t) + (9 - e^(-t))^2).

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The equation has a value less than 2,175 is- one half x 2,175

0.5 x 2,175 = 1087.5

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

The equation has a value less than 2175, let us simplify each option:

A) 1 x 2175 = 2175

B) 2 x 2175 = 4350

C) 2/2 x 2175 = 1 x 2175 = 2175

D) 1/2 x 2175 = 1087.5

From the simplified forms, we see that the equation that has a value less than 2175 is:

The correct answer is Option D

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Answer:

3 : 1

Step-by-step explanation:

volume = length * width * height

The volume of the solid as it is shown is:

volume = 10 m * 6 m * 10 m = 600 m^3

old volume = 600 m^3

Now we triple the length.

The length becomes 3 * 10 m = 30 m

The new volume is:

volume = length * width * height

volume = 30 m * 6 m * 10 m = 1800 m^3

new volume = 1800 m^3

ratio of new volume to old volume = 1800 m^3 : 600 m^3

Divide both sides of the ratio by 600 m^3.

Ratio = 3 : 1

Answer:     3 : 1

Answer:

rhombus

3x - 4 = 17

3x = 21

x = 7

there is no y

Answer:

\(\frac{14x}{9}-5\)

Step-by-step explanation:

14 times a number x :  14* x = 14x

Quotient of 14 times a number x  an 9 :   \(\frac{14x}{9}\)

5 less the quotient of 14 times a number x and 9 :

\(\frac{14x}{9}-5\)