Mrs. Floyd and Mrs. Lopez went to lunch yesterday. Mrs. Floyd ordered
a tuna sandwich for $3.75 with a lemonade for $1.75. Mrs. Lopez ordered
stuffed grape leaves for $4.25 and iced-tea for $1.45. What was the total
bill for both lunches?

Answer:

x = -30

Step-by-step explanation:

-24 = 6 + x

we'll subtract 6 to get x alone:

-24 - 6 = x

-30 = x

____________

then to check, we plug it back in

-24 = 6 + (-30)

-24 = -24 true! so -30 is right :)

Answer:

-30

Step-by-step explanation:

You can backtrack to find x:

-24-6=-36

-30+6=-24

Thomas needs to achieve a compound interest rate of approximately 41.4% per year in order to turn R5,000 into R10,000 in two years.

Simple interest and compound interest are the two primary types of interest.

Simple interest does not account for any accumulated interest from prior periods and is computed just on the principal amount of a loan or investment. It can be computed using the following method and is often expressed as a percentage of the principal:

I = P * r * t

If P is the principal, r is the interest rate, and t is the time period, and I is the simple interest.

Compound interest, on the other hand, adds the principle amount to the accrued interest from earlier periods. This indicates that each period's interest is computed using a higher balance than the previous period's balance, resulting in a higher interest rate.

Compound interest is a way to calculate interest that accounts for both the original principal and the interest that has accrued over the course of prior periods. To put it another way, it is the interest that is generated on both the initial investment and the interest that has been accrued over time on that investment.

For instance, if you deposited $1,000 in a savings account with a 5% annual interest rate, you would have received $50 in interest after the first year (5% of $1,000). This $50 would be added to your principal debt using compound interest, resulting in interest being paid on both the initial $1,000 loan and the additional $50 in interest that was accrued the prior year.

Your investment may rise significantly as a result over time.

Compound interest is calculated using the following formula:

A = P(1 + r/n)nt

where A represents the overall sum, P represents the original principal, r represents the yearly interest rate, n represents the number of times the interest is compounded annually, and t represents the passage of time in years.

According to question,

Simple interest and compound interest are the two primary types of interest.

Simple interest does not account for any accumulated interest from prior periods and is computed just on the principal amount of a loan or investment. It can be computed using the following method and is often expressed as a percentage of the principal:

I = P * r * t

If P is the principal, r is the interest rate, and t is the time period, and I is the simple interest.

Compound interest, on the other hand, adds the principle amount to the accrued interest from earlier periods. This indicates that each period's interest is computed using a higher balance than the previous period's balance, resulting in a higher interest rate.

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Answer: 36 days

Step-by-step explanation:

that’s the lowest multiple of 9 that also is a multiple of 12. It’s the LCF aka Least Common Factor

Answer:

Below

Step-by-step explanation:

From 7 to 10 AM is THREE hours (if the times are all on the same day)

Answer:

7/8

Step-by-step explanation:

i know

Answer:

7/8 XD

Step-by-step explanation:

There are no possible real values for the first term 'a' that satisfy both equations.

Let's denote the first term of the geometric progression as 'a' and the common ratio as 'r'.

The sum of the first two terms can be expressed as:

a + ar = 16

To find the sum to infinity, we can use the formula:

Sum to infinity = a / (1 - r)

Given that the sum to infinity is 25, we have:

25 = a / (1 - r)

We now have two equations:

a + ar = 16

a / (1 - r) = 25

We can solve these equations simultaneously to find the possible values of 'a'.

From the first equation, we can factor out 'a' to get:

a(1 + r) = 16

Dividing both sides of the second equation by 25, we have:

a / (1 - r) = 1

We can rearrange this equation to get:

a = 1 - r

Substituting this expression for 'a' in the first equation, we get:

(1 - r)(1 + r) = 16

Expanding the equation, we have:

1 - r^2 = 16

Rearranging the terms, we get:

r^2 = -15

Since we are dealing with a geometric progression, the common ratio 'r' must be a real number. However, we observe that r^2 = -15 has no real solutions. Therefore, there are no possible real values for the first term 'a' that satisfy both equations.

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Answer:

option c. 2

...........

Answer:

Yes, because Gabriel is the swimming. He was in 2nd or maybe 10th.

Answer:

Step-by-step explanation:

Answer:

x⁹

Step-by-step explanation:

Step 1: Write out expression

x⁷/x⁻²

Step 2: Rewrite

x⁷(x²)

Step 3: Simplify

x⁹

Step-by-step explanation:

Simplify: x^7/x^-2

=> x^(7+2) [∵ a^m/a^n = a^(m-n)]

=> x^9

Hope this helps!!

Given a discount of 20% and a manufacturer's coupon of $200, the price after the discount and coupon, (C ∘ D)(x), is 0.8x - 200.

A discount is an amount that reduces the price of a retail item.

Discounts are offered as rates and the discounted price is computed by multiplying the discount factor and the price.

Discount rate on offer = 20%

Discounting factor = 80% or 0.8 (100 - 20%)

Manufacturer's coupon off the price = $200

Let the price of the bureau = x

The price after the discount (discounted price) is given by D(x)

D(x) = 0.8x

The price after the coupon = C(x) = x - 200

The price after applying the discount and the coupon, (C ∘ D)(x) = 0.8x - 200

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Wilson's Warehouse sells a certain brand's bureau. They are offering a 20% discount in addition to accepting a manufacturer's coupon for $200 off. Let the price of the bureau be x. If the price after the discount is given by D(x) and the price after the coupon is C(x), find (C ∘ D)(x).

The data set (B) could be represented by the shown box plot.

A box and whisker plot (also known as a box plot) expresses a five-number summary of a set of data: lowest, lower quartile, median, upper quartile, and maximum.

The box plot is given in the question as shown, as per the data :

Minimum = 41

First quartile Q1 = 43

Median = 44

Third quartile Q3 = 48

Maximum = 50

According to set (B), we have:

41, 42, 43, 43, 43, 45, 47, 48, 50, 50

Here, Minimum = 41

First quartile Q1 = 43

Median = (43+45/2) = 44

Third quartile Q3 = 48

Maximum = 50

Therefore, the data set (B) could be represented by the shown box plot.

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Answer:

21/8

Step-by-step explanation: So in 1 day Peter walks 7/8 of a mile. You take 3 and make it 3/1 then mutiply it by 7/8. Your final answer is 21/8 miles or 2 5/8

The required answers are,

(f o g) (-4) = -14

(g o f) (-4) = 58

A function is a connection between a variety of inputs and outputs. A function is, to describe it simply, a relationship between inputs in which each input is connected to exactly one output.There is a range, codomain, and domain for every function. A function is usually referred to as f(x), where x is the input.

In the given question ,

f(x) = \(x^2-9x\)   and    g(x) = x+6

(a). (f o g)(-4)

\(=(x+6)^2-9(x+6)\\\\=(-4+6)^2-9(-4+6)\\\\=(2)^2-9(2)\\\\=4-18\\\\=-14\)

(b). (g o f)(-4)

\(=(x^2-9x)+6\\\\={(-4)^2-9(-4)}+6\\\\=16+36+6\\\\=58\)

The required answers are -14 and 58.

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Answer:

horizontal stretch

Step-by-step explanation:

For f(x) to turn into g(x), you must divide the function by 8. When we divide a function, this is known as a horizontal stretch because as you can see, the function gets wider. See the help image below with different examples.

Just a future tip: when you're in doubt, graph it out!

Horizontal stretch is the transformation which converts the graph of f(x) = -8x²- 8 into the graph of g(x) = -x² – 1.  Option C is correct.

The general form of the quadratic function is f(x) = a(x - h)² + k, where (h, k) represents the vertex of the parabola.

In this case, for f(x) = -8x² - 8, the vertex is at (0, -8).

For g(x) = -x² - 1, the vertex is at (0, -1).

Comparing the two functions, you can see that the coefficient in front of x² changes from -8 to -1.

This change in the coefficient results in a horizontal stretch or compression of the parabola.

In this case, the graph has been horizontally stretched to transform from f(x) to g(x).

Hence, Option c is correct. Horizontal stretch is the transformation which converts the graph of f(x) = -8x²- 8 into the graph of g(x) = -x² – 1.

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Answer:

When greg has the lead

Step-by-step explanation:

1598 cm square is the area of the container.

According to the statement

we have given that the container is rectangular prism

And Length of rectangular prism is 34cm

Width of rectangular prism is 17 cm

Height of rectangular prism is 20 cm

we use the below written formula to find the surface area

Surface area formula A=(wl+hl+hw)

To find the surface area of the container.

Substitute the values of Length, width and height in the formula then

A=(wl+hl+hw)

A=((17)(34)+(20)(34)+(20)(17))

After solving the values

A=(578+680+340)

A= 1598

So, 1598 cm square is the area of the container.

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Travis' famous letter, addressed to "The People of Texas and All Americans in the World," in which he passionately appealed for reinforcements and vowed to "never surrender or retreat," has become a symbol of the fortitude and sacrifice displayed by the Texan defenders at the Alamo.

The commander of the Texan forces at the Alamo during the famous battle in 1836 was Colonel William B. Travis. Travis, a lawyer and soldier, was chosen as the leader of the Texan garrison at the Alamo, a former mission turned fortress in San Antonio, Texas. He assumed command of the Texan forces in early 1836 and played a crucial role in the defense of the Alamo against the Mexican army led by General Santa Anna.

Travis and his men, along with notable figures such as James Bowie and Davy Crockett, bravely defended the Alamo against overwhelming odds for thirteen days. Despite their courage and determination, the Texan defenders were ultimately overrun by the Mexican forces on March 6, 1836, and suffered heavy casualties, including the deaths of Travis, Bowie, and Crockett.

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Answer:

Relating SSE to Other Statistical Data



Answer:

\(\huge\boxed{\overrightarrow{u}-\overrightarrow{v}=\left<-10;\ -3\right>}\)

Step-by-step explanation:

\(\overrightarrow{u}=\left<-8;\ 4\right>;\ \overrightarrow{v}=\left<2;\ 7\right>\\\\\overrightarrow{u}-\overrightarrow{v}=\left<-8;\ 4\right>-\left<2;\ 7\right>=\left<-8-2;\ 4-7\right>=\left<-10;\ -3\right>\)

Answer:

Step-by-step explanation:

-u-v = 6,-11

u-v = -10,-3

v-u = 10,3

Answer:

\( = { \tt{ {( \frac{4}{5} )}^{5} }} \\ \\ = { \tt{ \frac{ {4}^{5} }{5 {}^{5} } }} \\ \\ = { \tt{ \frac{1024}{3125} }}\)

The Propositions are resulting

(a) ∀x∃y(x = y²) is False

(b) ∀x∃y(x² = y) is True.

(c) ∃x∀y(xy = 0) is True.

(d) ∀x∃y(x + y = 1) is True.

(a) ∀x∃y(x = y²)

This proposition states that for every x, there exists a y such that x is equal to y². To determine the truth value, we need to check if this statement holds true for every value of x.

If we take any positive value for x, we can find a corresponding value of y that satisfies the equation.

For example, if x = 4, then y = 2 satisfies the equation since 4 = 2². Similarly, if x = 9, then y = 3 satisfies the equation since 9 = 3².

Therefore, the proposition (a) is false.

(b) ∀x∃y(x² = y)

For any given positive or negative value of x, we can find a corresponding value of y that satisfies the equation.

For example, if x = 4, then y = 2 satisfies the equation since 4² = 2. Similarly, if x = -4, then y = -2 satisfies the equation since (-4)² = -2.

Therefore, the proposition (b) is true.

(c) ∃x∀y(xy = 0)

The equation xy = 0 can only be satisfied if x = 0, regardless of the value of y. Therefore, there exists an x (x = 0) that makes the equation true for every y.

Therefore, the proposition (c) is true.

(d) ∀x∃y(x + y = 1)

To determine the truth value, we need to check if this statement holds true for every value of x.

If we take any value of x, we can find a corresponding value of y that satisfies the equation.

For example, if x = 2, then y = -1 satisfies the equation since 2 + (-1) = 1. Similarly, if x = 0, then y = 1 satisfies the equation since 0 + 1 = 1.

Therefore, the proposition (d) is true.

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The amount of the element, Francium, that will remain after 2 hours is 31.25 grams.

To determine how much francium will be left after 2 hours, we need to calculate the number of half-lives that occur within that time period.

Given that the half-life of francium is 22 minutes, we can calculate the number of half-lives in 2 hours (120 minutes):

Number of half-lives = (Total time elapsed) / (Half-life)

Number of half-lives = 120 minutes / 22 minutes ≈ 5.4545

Since we can't have a fraction of a half-life, we take the integer part, which is 5.

Each half-life represents a halving of the amount of francium. So, after 5 half-lives, the remaining amount of francium can be calculated using the formula:

Remaining amount = Initial amount * (1/2)^(Number of half-lives)

Given that the initial amount is 1000 grams, we can calculate the remaining amount after 2 hours:

Remaining amount = 1000 grams * \((1/2)^5\)

Remaining amount ≈ 1000 grams * 0.03125

Remaining amount ≈ 31.25 grams

Therefore, after 2 hours, approximately 31.25 grams of francium will be left.

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Answer:

See below.

Step-by-step explanation:

1)

So we have:

\(\exists x\in\mathbb{N},y\in\mathbb{Z}|x^2=y^2\)

This can be interpreted as:

"There exists a natural number x and an integer y such that x² is equal to y²."

2)

So we want even numbers are in the set of integers.

\(\{2n:n\in\mathbb{Z}\}\in\mathbb{Z}\)

This is interpreted as:

"The set of even numbers (2n such that n is an integer) is in the set of integers"

Answer:

lol the answer is the second one

Answer:

A. Yes

B. No

C. Yes

D. Yes

Step-by-step explanation:

angle naming protocol states that you start with the vertice farthest from the angle, the vertix at the angle is the second letter, and the last leg of the triangle is the third letter

Answer:

How you solve it is you pick two points on a line and figure out their coordinates. Determine the difference in the y-coordinates of those two points. Then you also do the same thing with the x-coordinates. Then you divide the difference in the Y and X coordinates .

Step-by-step explanation:

hope this helps 100% sure though that it is right.