A restaurant has a soup-and-salad lunch with the choices listed in the table below. A soup and a salad are selected at random.

What is the probability that tomato soup and a garden salad are selected?


A 1/6


B 1/5


C 1/3


D 5/6

Answer:

zero (0)

Step-by-step explanation:

The degree of the polynomial -57 is zero (0).

Hope it helps you in your learning process.

Answer: Choice A

Jackson likes earning rewards on his purchases.

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

Explanation:

Debit cards do not give out reward points for using them. Credit cards on the other hand do offer such a feature. So if Jackson wants reward points, he'll need to use a credit card. This is why choice A is the answer.

Choice B is ruled out because shopping locally could involve either type of card, or simply cash, depending the merchant's payment preferences. There's no incentive to use a credit card here.

Choice C is ruled out because a debit card is tied to a checking account. Blake making weekly transfers to this account seems to heavily imply he uses it a lot; therefore, he's likely using a debit card here.

Choice D is ruled out because Jena being careful with money would likely use a debit card. With debit cards, you use only the money in the checking account. No money is borrowed like with a credit card. This means there's no worry about going into debt when using a debit card.

Answer:

[tex]tanA=\frac{12}{20}\\\\tanB=\frac{20}{12}[/tex]

Step-by-step explanation:

[tex]tan(theta)=\frac{Opp}{Adj}[/tex]

Unless you want to solve for A and B plug that into inverse calculator.

A = tan^-1 ( 12/20 ) = 31°

A = 31.0°

B = tan^-1 ( 20/12 ) = 59.0°

B = 59.0°

Answer:

  see attached

Step-by-step explanation:

The truth table technique shows the first proposition is True. However, the second proposition cannot be shown to be a tautology, because it isn't true.

__

The "equals" relation is commutative: (a=b) ≡ (b=a), hence the expression ...

  (p=q)∧(q=p)

is equivalent to

  (p=q)∧(p=q)

We know that the And of p with itself is just p, so that fact ensures the truth of ...

  (p=q)∧(p=q) = (p=q)

Hence

  (p=q)∧(q=p) = (p=q)

The top truth table in the attached shows the final comparison of the two expressions is true for all values of p and q.

__

The attached truth table shows that the given relation is not a tautology.

Check the picture below.

Answer:

The Answer is 4

Step-by-step explanation:

Right on Acellus

have a great day!

:)

Step-by-step explanation:

y - x = 4x (vertically opposite angles)

y = 5x

4x+ y+x = 180

5x+5x = 180

x = 18

y = 90

(receipt one)

burger = 9

18% tip = 2.16

total with tip = 14.16

(receipt two)

salad = 8

total = 11

total with tip = 12.98

(receipt three)

salad = 8

water = 1.5

total = 9.50

18% tip = 1.71

Step-by-step explanation:

calculator

Answer:

D; y=125.3x2+257.8x+183.3

Step-by-step explanation:

I just took the test

have a good day! :)

Answer:

5) A - slope is positive, b = 0

6) D - slope is negative, b = 1, function is linear

7) D - b = 0

8) C - slope is negative, b = negative

Step-by-step explanation:

Hope this helps!

Answer:

  A/(x+7) +B/(x+4)

Step-by-step explanation:

The denominators of the partial fraction expansion are the factors of the denominator of the rational function.

__

Here, the rational function's denominator can be factored as ...

  x² +11x +28 = (x +7)(x +4)

Then the form of the decomposition is ...

  [tex]\dfrac{x-2}{x^2+11x+28}=\boxed{\dfrac{A}{x+7}+\dfrac{B}{x+4}}[/tex]

_____

Additional comment

Here, A=3. B=-2.

If the factors of the denominator have multiplicity greater than 1, then there is a fraction with each power of that factor up to the multiplicity. For example, if there is a factor (x+4)³, then the decomposition would include fractions A/(x+4) +B/(x+4)² +C/(x+4)³.

The statement which correctly compares the two functions is that they have the same end behavior as x approaches -∞ but different end behavior as x approaches ∞.

A function assigns the value of each element of one set to the other specific element of another set.

Function g is represented by the table.

The line plotted with these data is shown below where y represent the g(x).

In this line,

Thus, the statement which correctly compares the two functions is that they have the same end behavior as x approaches -∞ but different end behavior as x approaches ∞.

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Answer:

0.45

3.25

Step-by-step explanation:

16.25 ÷ 5 = 3.25

15.25 - 3.25 × 4 = 2.25

2.25 ÷ 5 = 0.45

Check Answer:

3.25 × 5 = 16.25

0.45 × 4 = 2.25

3.25 - 2.25 = 1

16.25 - 1 = 15.25

~lenvy~

Answer: 26 sales

Step-by-step explanation:

If you plug in 26 you will get exactly $1,000

Martin needs to sale 8 pieces to make it $1000.

Martin has to save $1000.

He is using an app to manage all the sales, but if keeps fraction of every sales.

The equation which represents his net pay is P(x)=[tex]x^{2}+20x-196[/tex]

We have to solve the given quadratic equation.

Here, x= (-b±[tex]\sqrt{ b^{2}-4ac }[/tex])/2a

⇒ x= (-20±[tex]\sqrt{400+4*196}[/tex])/2

⇒ x= (-20±[tex]\sqrt{1184}[/tex])/2

⇒ x= -10±[tex]\sqrt{296}[/tex]

⇒ x= -10±17.2

We habe to take the maximum value of x. So we neglect the negative sign.

Hence, x= -10+17.2 = 7.2 = 8 (approx) ,here we can not take 7 because if he sales 7 pieces then the money should less than $1000.

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Answer:

B

Step-by-step explanation:

3/20x3/20=

15/100x15/100

Answer:

960 cm²

Step-by-step explanation:

Area of trapezoid: (a + b)(h)/2

A = (20 + 40)(32)/2

A = 60(32)/2

A = 1920/2

960 cm²

Answer:

I think so none

answer to the following steps below:-

I hope my answer helps.

Answer:

Revenue=$6000

Step-by-step explanation:

A = PRT

100

A= (10,000×4×15)/100

= (10,000×60)/100

= 600,000/100

=$6000

Hideki recognizes a $17,490.06 revenue.

Revenue is the total amount of income generated by the sale of goods and services related to the primary operations of the business.

Given that on January 1, 2022, Hideki Matsuyama provides services in exchange for a $10,000 zero-interest bearing note due in 4 years, and the effective interest rate for a note of this type is 15 percent,

To determine how much revenue does Hideki recognize on January 1, 2022, the following calculation must be made:

x = 10000 x 1.15^4

x = 10000 x 1.749

x = 17490.06

Therefore, Hideki recognizes a $17,490.06 revenue.

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Answer:

4/3

Step-by-step explanation:

Given:

[tex]\displaystyle \large{\left(\dfrac{9}{16}\right)^{-\dfrac{1}{2}}}[/tex]

From the law of exponent:

[tex]\displaystyle \large{a^{-\frac{1}{2}}=\dfrac{1}{\sqrt{a}}}[/tex]

Convert to the form above:

[tex]\displaystyle \large{\left(\dfrac{9}{16}\right)^{-\dfrac{1}{2}}=\dfrac{1}{\sqrt{\dfrac{9}{16}}}}\\\displaystyle \large{\left(\dfrac{9}{16}\right)^{-\dfrac{1}{2}}=\dfrac{1}{\dfrac{3}{4}}}\\\displaystyle \large{\left(\dfrac{9}{16}\right)^{-\dfrac{1}{2}}=\dfrac{4}{3}}[/tex]

Therefore, the solution is 4/3

Trees near the road may have more damage than trees away from it, so the results may overestimate the overall damage to the trees.

The sample space S of a random experiment is defined as the set of all possible outcomes of an experiment. In a random experiment, the outcomes, also known as sample points, are mutually exclusive

Given, The ranger parks at the side of the road and chooses 100 trees near the road to assess for damage hence, trees near the road may have more damage than trees away from it, so the results may overestimate the overall damage of the trees.

So, Consequently, the results can exaggerate the total amount of tree damage.

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Answer: The chances of landing on blue are 1 in 4, or one fourth. The chances of landing on red are 1 in 4, or one fourth.

Step-by-step explanation:

Reduce 1/4 to lowest terms14 is already in the simplest form. It can be written as 0.25 in decimal form (rounded to 6 decimal places). Steps to simplifying fractions find the GCD (or HCF) of numerator and denominator GCD of 1 and 4 is 1 divide both the numerator and denominator by the GCD1 ÷ 14 ÷ 1 reduced fraction: 14Therefore, 1/4 simplified to lowest terms is 1/4.

Answer:

C 5.55

Step-by-step explanation:

253/60 = 4.21

80/60 = 1.33

4.21 + 1.33 = 5.55

Have an amazing day!!

Please rate and mark brainliest!!

[tex]f(x)=a(b)^x \\\\[-0.35em] ~\dotfill\\\\ (\stackrel{x}{0}~~,~~\stackrel{y}{1})\qquad 1=a(b)^0\implies 1=a~\hfill \underline{f(x)=1(b)^x} \\\\[-0.35em] ~\dotfill\\\\ (\stackrel{x}{2}~~,~~\stackrel{y}{25})\qquad 25=1(b)^2\implies 25=b^2\implies \sqrt{25}=b\implies 5=b \\\\[-0.35em] ~\dotfill\\\\ f(x)=1(5)^x\implies \underline{f(x)=5^x}[/tex]

Answer:

8.5 hrs * 5 day work week = 42.5 hrs. But usually 0.5 hr per day is considered lunch and is usually not payed so theoretically the workweek is only 40 hrs per week (full time)

Step-by-step explanation:

Let

[tex]S_n = \displaystyle \sum_{k=0}^n r^k = 1 + r + r^2 + \cdots + r^n[/tex]

where we assume |r| < 1. Multiplying on both sides by r gives

[tex]r S_n = \displaystyle \sum_{k=0}^n r^{k+1} = r + r^2 + r^3 + \cdots + r^{n+1}[/tex]

and subtracting this from [tex]S_n[/tex] gives

[tex](1 - r) S_n = 1 - r^{n+1} \implies S_n = \dfrac{1 - r^{n+1}}{1 - r}[/tex]

As n → ∞, the exponential term will converge to 0, and the partial sums [tex]S_n[/tex] will converge to

[tex]\displaystyle \lim_{n\to\infty} S_n = \dfrac1{1-r}[/tex]

Now, we're given

[tex]a + ar + ar^2 + \cdots = 15 \implies 1 + r + r^2 + \cdots = \dfrac{15}a[/tex]

[tex]a^2 + a^2r^2 + a^2r^4 + \cdots = 150 \implies 1 + r^2 + r^4 + \cdots = \dfrac{150}{a^2}[/tex]

We must have |r| < 1 since both sums converge, so

[tex]\dfrac{15}a = \dfrac1{1-r}[/tex]

[tex]\dfrac{150}{a^2} = \dfrac1{1-r^2}[/tex]

Solving for r by substitution, we have

[tex]\dfrac{15}a = \dfrac1{1-r} \implies a = 15(1-r)[/tex]

[tex]\dfrac{150}{225(1-r)^2} = \dfrac1{1-r^2}[/tex]

Recalling the difference of squares identity, we have

[tex]\dfrac2{3(1-r)^2} = \dfrac1{(1-r)(1+r)}[/tex]

We've already confirmed r ≠ 1, so we can simplify this to

[tex]\dfrac2{3(1-r)} = \dfrac1{1+r} \implies \dfrac{1-r}{1+r} = \dfrac23 \implies r = \dfrac15[/tex]

It follows that

[tex]\dfrac a{1-r} = \dfrac a{1-\frac15} = 15 \implies a = 12[/tex]

and so the sum we want is

[tex]ar^3 + ar^4 + ar^6 + \cdots = 15 - a - ar - ar^2 = \boxed{\dfrac3{25}}[/tex]

which doesn't appear to be either of the given answer choices. Are you sure there isn't a typo somewhere?