A new taco shop is selling tacos for $1 for the first week. After that, the price will rise to $2 per taco. Is the cost proportional to the number of tacos?

Answer:

25 km = 2,500,000 cm

3 mi = 15,840 ft

60 min = 3,600 sec

Step-by-step explanation:

The statement that could not be used to prove that m<8 = 72 is m∠3=144.

A line that intersect any two parallel lines at a point each is termed a transversal. This forms a series of angles at the intersecting point which have similar properties.

In the given diagram,

m<2 + m<3 = 180^o       (sum of angles on a line)

2x + 3x = 180

5x = 180

x = 180/ 5

 = 36

x = 36^o

Then,

m<2 = 2x

       = 2*36

       = 72

m<3 = 3x = 3* 36

       = 108^o

So that the statement that could not be used to prove that m<8 = 72 is m∠3=144.

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Answer:

the 3 in the 10ths place would be "worth" more as it's in front of the decimal

The probability that his grade will be at most 50% will be 0.99363 =99.363%

From the data given,

Let us say that,

The total number of questions = n = 10

The chance of getting one option right = p=0.5 = (1/2)

Let us assume that, q=0.8 (4/5) which is equal to the chance of getting the remaining 4 options wrong.

So, from above,

We can consider the value of x=1,2,3,4,5

Because he can score 10%, 20%, 30%, 40% or 50% but it is not possible that he can score more than 50%

Now, applying the concept of Binomial Theorem

We can write it as;

[tex]P(x)=\left(\frac{n !}{(n-x) ! \cdot x !}\right) \cdot p^x \cdot q^{n-x}[/tex]

Now add all the probabilities of x = 1,2,3,4,5

We will get it as:

For n = 10, x = 1:

[tex]P(1)=\left(\frac{10!}{(10-1) ! \cdot 1 !}\right) \cdot p^1 \cdot q^{10-1}\\P(1)=\left(\frac{10!}{9!}\right) \cdot p \cdot q^{9}\\\\P(1)=10 \cdot p \cdot q^9[/tex]

For n = 10, x = 2

[tex]P(2)=\left(\frac{10!}{(10-2) ! \cdot 2!}\right) \cdot p^2 \cdot q^{10-2}\\P(2)=\left(\frac{10!}{8!\times 2}\right) \cdot p^2 \cdot q^{8}\\\\P(2)=45 \cdot p^2 \cdot q^8[/tex]

For n = 10, x = 3

[tex]P(3)=\left(\frac{10!}{(10-3) ! \cdot 3 !}\right) \cdot p^3 \cdot q^{10-3}\\P(3)=\left(\frac{10!}{7! \times 3!}\right) \cdot p^3 \cdot q^{7}\\\\P(3)=120 \cdot p^3 \cdot q^7[/tex]

For n = 10, x = 4

[tex]P(4)=\left(\frac{10!}{(10-4) ! \cdot 4!}\right) \cdot p^4 \cdot q^{10-4}\\P(4)=\left(\frac{10!}{6! \times 4!}\right) \cdot p^4 \cdot q^{6}\\\\P(4)=210 \cdot p^4 \cdot q^6[/tex]

For n = 10, x = 5

[tex]P(5)=\left(\frac{10!}{(10-5) ! \cdot 5 !}\right) \cdot p^5 \cdot q^{10-5}\\P(5)=\left(\frac{10!}{5! \times 5!}\right) \cdot p^5 \cdot q^{5}\\\\P(5)=252 \cdot p^5 \cdot q^5[/tex]

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The values of the expressions are for x and y: 2.5, 0 (2) no solution (3) -30/23, 3.7

A simultaneous equation is the equation that can be solved together.

The expressions are:

4x - 2y = 10

2x-y = 5

Solve simultaneously

4x-4y = 10

-4x -2y = 10   subtracting

-2y = 0 put y = 0 in equation 1

4*x-2*0 = 10

4x=10

x=10/4

x=2.5

2)    y=2x-3

-2x+2x-3 = -5

This cannot be solved

3)  2x-5y=14

3x+4y =10

Solve simultaneously

6x-15y=52

6x+8y=20

subtracting to get

-23y=30

Making y the subject of the relation

y=-30/23

By substitution we get

2x-5(-30/23) =14

2x +150/23 = 14

Simplifying this expression to have

(46x+150)/23 = 14

46x=172

Making x the subject of the relation we have

This implies that x=172/46 = 3.7

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Answer: Categorical bar graph

Step-by-step explanation:

Answer:c

Step-by-step explanation:

it easy

A: The height of the street sign is obtained by indirect measurement method as 15 feet.

B: The two proportions Betsy can use is 5/1.5 = x/4.5 and 5/.x = 1.5/4.5

C: Using both the proportions height of the street sign is obtained as 15 feet.

What is indirect measurement?

A mathematical technique called as an indirect measurement is used to discover unknown measures of items that are challenging to measure. A direct measurement is something that can easily be measured, like a toddler's height.

The height of Betsy is h = 5 feet.

The shadow of Betsy is h' = 1.5 feet.

The height of the street sign is H = x feet.

The height of the shadow of street sign is H' = 4.5 feet.

The two proportions are -

h/h' = H/H' and h/H = h'/H'

These two can be used to find the measurement of the street sign.

To find the height of the street sign use the method of indirect measurement -

h/h' = H/H'     h/H = h'/H'

Substitute the values in the given equation -

5/1.5 = x/4.5            5/x = 1.5/4.5  

1.5 × x = 5 × 4.5      5 × 4.5 = 1.5 × x

1.5x = 22.5              22.5 = 1.5x

Simplify the equation further -

x = 22.5/1.5             x = 22.5/1.5

x = 15                       x = 15

Therefore, the value of the x is obtained as 15 feet.

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The price of one pie is 12 dollars.

A bakery sells pies and cakes. In November, they sold 400 pies and 250 cakes totalling $8,550.  In December, they sold 300 pies and 500 cakes totalling $11,100.

The price of a pie can be calculated as follows:

using equation,

let

x = cost of a pie

y = cost of a cake

Therefore,

400x + 250y = 8550

300x + 500y = 11100

multiply equation(ii) by 2

800x + 500y = 17100

300x + 500y = 11100

subtract the equations

500x = 6000

divide both sides by 500

x = 6000 / 500

x = 12

Hence,

price of the pie = 12 dollars

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The probability that a 5-card straight will be drawn from a standard deck of 52 cards if the first three cards drawn are the 2 of spades, the 4 of diamonds, and the 6 of diamonds is 0.005.

A standard deck has 52 cards.

In this case, three cards are already drawn from the deck, which are the 2 of spades, the 4 of diamonds, and the 6 of diamonds. Thus, remaining number of cards=  49.

Probability of getting first card: 1/4

Probability of getting the second card from same suit= 1/13+ 1/13+ 1/12+ 1/11= 563/1716

Probability of getting the third card from same suit= 1/12+1/12+ 1/11+ 1/10= 472/ 1320

Probability of getting the fourth card from same suit= 1/11+ 1/11+ 1/10+ 1/9= 389/ 990

Probability of getting the fifth card from same suit= 1/10+ 1/10+ 1/9+ 1/8= 314/ 720

Therefore, total probability of the event that a 5-card straight will be drawn,

= (1/4)* (563/1716)* (472/ 1320)* (389/990)* (314/720)

= 0.005

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A Venn diagram is used to illustrate the given information. The Venn diagram is illustrated below:

In the Venn diagram, the group of students who like toffees is represented by the left circle, while the group of students who like biscuits is represented by the right circle. The intersection of the two circles represents the group of students who like both toffees and biscuits.

a) There are 30 students who like toffees, but not biscuits. There are 10 students who like biscuits, but not toffees. The intersection of the two circles represents the 5 students who like both toffees and biscuits.

b) There are 25 students who like exactly one of the items (30 who like toffees but not biscuits, and 10 who like biscuits but not toffees).

Answer:

rise over run

the slope in the picture would be 3, because you rose six and ran two, which is 6/2=3

hope this helps

The age of Morty is 12 years.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

given:

let the Age of Marty be m.

Then, Tonya's Age = 2m- 9

and, Daniella's age = 2m- 9 + 2= 2m - 7

Now, sum of their ages = 3m+ 8

So, m + 2m-9 + 2m -7 = 3m+ 8

5m - 16= 3m + 8

5m - 3m = 8 +16

2m = 24

m = 12

So, Marty's age is 12 years.

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When two values with exponents are multiplied, it is known as multiplying exponents. The multiplication of exponents requires some rules depending upon the base and the power.

Occasionally we need to multiply negative exponents, or multiply exponents with the similar base, or different bases. In all the following cases, we follow various types of rules.

An exponent can be defined as the number of how many times a quantity is multiplied by itself. One example, when 3 is multiplied thrice by itself, it is expressed as 3 × 3 × 3 = 3^3. Here, 3 is the base, and 3 is the power or exponent.

It is read as '3 raised to the power of 3'.

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Answer:  5

Step-by-step explanation:

The domain for given function f(x) is {-7,5} and range is {7,-3}

What is range and domain of a function?

Domain

The set of all possible values which qualify as inputs to a function is known as the domain of the function, or it can also be defined as the entire set of values possible for independent variables. The domain can be found in – the denominator of the fraction is not equal to zero and the digit under the square root bracket is positive. (In the case of a function with fraction values).

Range

The set of all the outputs of a function is known as the range of the function or after substituting the domain, the entire set of all values possible as outcomes of the dependent variable.

Now

As shown in graph,

for the domain {-7,5}, the range is {7,-3}.

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The form of the verb in the sentence is gerund. Option A

We know that the verb has to do with an action word or a doing word. The term shows that the verb is the part of speech that you can use to be able to show an action that has taken place, is taking place or have taken place in the past.

In the case of the problem that we have here, the sentence that is in view is; "We went exploring on the nature trail near our house." The verb here has -ing thus it can be classified as a gerund.

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-1 is an integer.

As we know the integers are the numbers that include positive whole numbers, negative whole numbers, and zero.

The set of integers is denoted by alphabet I

From above definition of integers we write integers as,

I = W(-) ∪ {0} ∪ W(+)

where W is the set of whole numbers

We know that the set of whole numbers W =  {0, 1, 2, 3, . . ., ∞}

so, the set of integers I = {. . ., -3, -2, -1, 0, 1, 2, 3, . . .}

Also the set of integers do not include fractions or decimals.

In this question we have been given a number negative 1 .

By definition of integers, a number negative 1 is an integer.

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The professor performs inferential statistics.

From the question, we understand that the professor concluded that the majority of the class (198 students) preferred in-class assessment based on the response from 67% of the sample size (i.e 30 students)

When decisions or conclusions are made about an overall population based on a survey carried out on a smaller sample, such a study is referred to as an inferential study or inferential research.

A descriptive study on the other hand focuses on the features rather than the result of the experiment of the dataset. Descriptive research aims to accurately and systematically describe a population, situation, or phenomenon.

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The five values for a data set are: minimum = 0 lower quartile = 2 median = 3. 5 upper quartile = 5 maximum = 10 Bruno created the box plot using the five values. Bruno made error. The left whisker should go from 0 to 2.

Quartiles is a type of quartile that divides data into four parts with approximately the same number. The first quartile or lower quartile (Q1) is the middle value between the smallest value and the median of the data group. The first quartile is a marker that the data in that quartile is 25% below the data group.

The second quartile (Q2) is the median data which marks 50% of the data (dividing the data in half). The third or upper quartile (Q3) is the middle value between the median and the highest value of the data set. The third quartile is a marker that the data in that quartile is 75% below the data group. Quartiles are a form of an ordered statistic because to determine quartiles, data needs to be sorted from smallest to largest value first.

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Answer:

8/9

Step-by-step explanation:

to simplify, you want to take out the gcf (greatest common factor)

in 32 and 36, the GCF would be 4

you divide both the numerator and the denominator by 4 to get 8/9

because the GCF of 8 and 9 is 1, you cannot simplify the fraction any further

Answer: 8/9.   32/36/4= 8/9

8/9*4/4= 32/36.

Step-by-step explanation: Hope this helps!! :)). Have a Great day and Mark me as brainlest. Thanks!! :))

So you can set this up as a linear equation

y = mx + b

y represents the total amount earned which in this case is $155.

b in this case is the amount earned without any deliveries, $71.

m is the rate/ earning per delivery which is $6

So you can write it as

$155 = $6x + $71

Solve for x

$84 = $6x

14 = x

x = 14

This means that Ben did 14 deliveries yesterday.

Answer:

Step-by-step explanation:

[tex]16 ^{ \frac{3}{4} } \\ {(2^{4} )}^{ \frac{3}{4} } \\ {2}^{4 \times \frac{3}{4} } \\ {2}^{3} \: \: \: \\ 8 \: \: \: \: [/tex]

Check the picture below.

so we just need to find the distance for AB and sum them all up for the perimeter

[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ A(\stackrel{x_1}{-2}~,~\stackrel{y_1}{3})\qquad B(\stackrel{x_2}{3}~,~\stackrel{y_2}{-3})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ AB=\sqrt{(~~3 - (-2)~~)^2 + (~~-3 - 3~~)^2} \implies AB=\sqrt{(3 +2)^2 + (-3 -3)^2} \\\\\\ AB=\sqrt{( 5 )^2 + ( -6 )^2} \implies AB=\sqrt{ 25 + 36 } \implies AB=\sqrt{ 61 } \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{\LARGE Perimeter}}{6~~ + ~~5~~ + ~~\sqrt{61}} ~~ \approx ~~ \text{\LARGE 18.81}[/tex]

The result of the division 2.5/130 is 0. 019

Fractions are simply described as part of a whole number, variable or element.

There are several types of fractions in mathematics, they include;

Examples of proper fractions: 1/2, 1/ 4

Examples of mixed fractions: 2 4/5, 2 1/3

Examples of improper fractions: 3/2, 6/3

From the information given, we have that;

2. 5 divided by 130

This is written mathematically as;

2.5/130

Divide the values

0. 019

Hence, the value is 0. 019

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When the number under the root sign has no square factors, a radical is said to be in its simplest form.

In the 14th century, the term radical was first used. It was derived from the Late Latin radicalis, which was derived from the Latin radic-, radix, which meant "root." The definition "of, connected to, or proceeding from a root" underlies the first usage of the word "radical," which are all about actual roots.

Radical: The sign used to represent the square root or nth root. Square-root-containing expressions are known as radical expressions. The radical symbol's "radicand" is a number or phrase. A radical equation is one that uses variables as radicands in radical expressions.

Using the Pythagorean theorem, x = 27:

7² + ?² = 9²\sx² = 81 - 49\x = √32\x = 4√2

For the lower portion:

x² + 2² = (4√2)

²\x² + 4 = 32\x² = 28\x = √28\x = 2√7

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The true statement of the right triangle is as follows:

tan 27° = y / x

cos 63° = y / 15

sin 63° = x / 15

A right triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a triangle is 180 degrees.

Base on the position of the angles, trigonometric ratios can be used to find the sides of the right triangle as follows:

Therefore,

tan 27 = opposite / adjacent

Hence,

tan 27° = y / x

cos 63 = adjacent  / hypotenuse

cos 63° = y / 15

sin 63 = opposite / hypotenuse

sin 63° = x / 15

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Answer:

14.5

Step-by-step explanation:

The area of the rectangle is [tex](5)(6)=30[/tex].

The areas of the three right triangles in the rectangle but not in [tex]\triangle JKL[/tex] are 2.5, 10, and 3.

[tex]\implies [JKL]=30-2.5-10-3=14.5[/tex]

The point at which the slope of the curve y = [tex]e^x[/tex] is 1 is (0,1)

Now, According to the question:

Slope and Derivative:

The slope of a curve is the rate at which y is changing with respect to x at a particular point on the curve. The slope at a given point on a curve is also equal to the derivative of the curve at that point. We can use this fact to solve various problems and applications involving slope.

We know that the slope of the curve y = [tex]e^x[/tex] will be equal to 1 when the derivative of the curve is equal to 1. The derivative of y =  [tex]e^x[/tex]  is y ' =  [tex]e^x[/tex] , so we can set this equal to 1, and solve for x to determine the x-value where the slope will be equal to 1.

[tex]e^x[/tex]  = 1

Take the natural log of each side.

ln([tex]e^x[/tex]) = ln(1)

Simplify each side.

x = 0

We get that the slope of y = [tex]e^x[/tex] will be 1 when x = 0. We can find the corresponding y-value of the point by plugging 0 in for x into the original equation, and solving for y.

y = [tex]e^0[/tex]

Simplify the right-hand side.

y = 1

We get that the point where the slope of the curve is y = [tex]e^x[/tex] is (0,1).

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The complete question is this :

At what point on the curve y = [tex]e^x[/tex] slope is 1?