Select the correct answer.
Gas station A has posted a chart that shows the price of gasoline in terms of the number of gallons.

Answer:

$2,400

Step-by-step explanation:

Total Amount withdrawn from bank = Withdrawn amount spent + Withdrawn amount remaining = $450+$150 = $600

1/4 of Savings in bank = $600

Total savings in bank = [tex]600/\frac{1}{4}[/tex]

= 600 * 4

= $2,400

Answer:

9:6:10

Step-by-step explanation:

Copper: Zinc: Tin= C:Z:T

C:Z:T

3:2

  3:5

3x3=9

3x2=6

5x2=10

so, Copper:Zinc: Tin= 9:6:10

Answer:

-64

Step-by-step explanation:

use PEMDAS order : Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)

-9(5 - 2) - 111÷3 =

-9(3) - 111÷3 =

-27 - 111÷3 =

-27 - 37 =

-64

The domain will be ( 0, ∞) and the range of the function F(x) = -3Cos[2x+[tex]\dfrac{\pi}{4}[/tex]] will be [[tex]\dfrac{-\pi}{8}[/tex] , -3 ] and [ [tex]\dfrac{3\pi}{8}[/tex],3].

Range and Domain. The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.

The range of the function we can see from the graph of the function will be from  [[tex]\dfrac{-\pi}{8}[/tex] , -3 ] and  [ [tex]\dfrac{3\pi}{8}[/tex],3]

The domain of the function will be all the values of the real numbers for the function ranges from  ( 0, ∞ ).

Therefore the domain will be ( 0, ∞) and the range of the function F(x) = -3Cos[2x+[tex]\dfrac{\pi}{4}[/tex]] will be [[tex]\dfrac{-\pi}{8}[/tex] , -3 ] and [ [tex]\dfrac{3\pi}{8}[/tex],3].

The complete question is given below:-

what is the domain and range of the function

F(x) = -3Cos[2x+[tex]\dfrac{\pi}{4}[/tex]] .

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Answer:

So none of these would be a perfect square but the closet one to it would be 65

Step-by-step explanation:

Answer:

please suscribe my chsnnal

clue technical

The resulting equation on using the completing the square is y = (x+5)² - 25

The quadratic equation has a leading degree of 2. Given the equation below;

y = x^2+10x

Add the square of the half of coefficient of x to have;

y = x^2+10x + (10/2)²- (10/2)²
y = x^2 + 10x + 5² - 5²

y = x^2 + 10x  + 25 - 25

y = (x+5)² - 25

Hence the resulting equation on using the completing the square is y = (x+5)² - 25

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Answer:

C: 3/5.79=13/x

Step-by-step explanation:

Two ratios are said to be in proportion when the two ratios are equal

3 markers cost $5.79 in which the proportion price is unknown

13 markers cost x

markers / cost = markers / cost

3 / $5.79 = 13 / x

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Answer:

The conclusion derived by Mandy is incorrect.

Step-by-step explanation:

Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value time the other. That constant is known as the "constant of proportionality".

To determine if the input and output are proportional, we simply divide the output (y) by the corresponding input (x).

i.e. Ratio[tex]=\frac{y}{x}[/tex]

So, we have:

[tex]Ratio=\frac{5}{1}=5[/tex]

[tex]Ratio=\frac{10}{2}=5\\ Ratio =\frac{25}{5}=5\\ Ratio=\frac{50}{10} =5[/tex]

For the four input and output data, the ratios are equal. This means that the relationship is proportional.

Hence, Mandy's conclusion is incorrect.

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ratios are equal, so its proportionate Mandy's conclusion is incorrect.

The time needed by Lola to sign all the 96 invitations is 508.8 second

Product is the number obtained when two numbers are multiplied with each other

It is given that

Total Invitations that Lola needs to sign = 96

Time taken to sign full name = 5.3 seconds

Total time needed by Lola to sign invitations is  

96 * 5.3

= 508.8 seconds

Therefore the time needed by Lola to sign all the 96 invitations is 508.8 second

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Answer:

The answer is the second option: {4, 7, 10...}

The formula that can be used to find the number of bacteria is FV = 1000 x 2^t.

The formula that can be used to determine the number of bacteria is an exponential function with the form:

FV = P(1 + r)^t

Where:

1000 x ( 1 + 1)^t

FV = 1000 x 2^t

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As the sample size grows, the distribution of the sampled means becomes normally distributed option (C) is correct.

With simple random sampling, each component of the population has an equal chance of being selected for the sample.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have:

Suppose a simple random sample of size n is obtained from a population whose distribution is skewed right.

As we know, the distribution of sample means will be normally distributed even if the individual samples do not, according to the Central Limit Theorem, if the mean values for increasing sample sizes are determined.

Thus, as the sample size grows, the distribution of the sampled means becomes normally distributed.

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The probability of student A is 15/44

Given student A is 70% of time and student B is 60% of time

We need to find the probability of student A

Using formula of conditional probability is P(X/Y) = P(X and Y) / P(Y)

Here X = A and Y = A or B

Therefore,

P(A/A or B) = P(A and (A OR B) / P (A or B)

Now, There is none complement for at least 1

We know that Student A attends 70 % of time

So , his absence is 30% of the time .

Hence the probability of absence is 0.3

Now Considering B in the similar way

We get,

Probability of the absence is 0.4

They are both absent (0.3)(0.4)= 0.12

Here we can say that 12 % of time both are absent

So one or another present on that time is 88%

The probability of present of the time is 0.88

Now calculating the probability,

P(A/A or B) = P(A and (A OR B) / P (A or B)

= 0.3/0.88

= 30/88

= 15/44

Hence the Probability Of A is 15/44

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Statement A is needed to complete this syllogism. its diagonals are perpendicular. Therefore, if a quadrilateral has 4 congruent sides then its diagonals are perpendicular.

A logical structure for a formal argument that includes a major, minor, and conclusion.

This syllogism cannot be concluded without Statement A. The diagonals of it are parallel. As a result, a quadrilateral's diagonals are perpendicular if it has four congruent sides.

If a quadrilateral has 4 congruent sides, then it is a rhombus. If it is a rhombus, then its diagonals are perpendicular.

Therefore, if a quadrilateral has 4 congruent sides then its diagonals are perpendicular.

Hence option A is correct.

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Answer:

a quadrilateral has 4 congruent sides

Step-by-step explanation:

Syllogisms are connected by a shared statement that connects a hypothesis to a different conclusion.

The correct option is second one i.e 7x = 3

Therefore the results from adding the equation in this system are

7x = 3

Equations as,

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign.

  2x+y=8   .......................1

    5x-y=-5   .......................2

Result when adding equations 1 and 2 =?

On adding equations 1 and 2 the y term will get canceled and the like terms will combine is add (2x and 5x ) and ( 8 and - 5) as shown below

         2x    +    y    = 8

         5x   -   y     = - 5

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

         7x     + 0        =   3

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

Therefore the results from adding the equation in this system are 7x=3.

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Answer:

7x=3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

If two ratios make a proportion then it can be shown as:

Let's verify the answer choices with this method

A. 1/4 and 5/25

B. 1/4 and 7/24

C. 1/4 and 10/48

D. 1/4 and 9/36

Answer:

a

2

−

b

2

Since both terms are perfect squares, factor using the difference of squares formula,

a

2

−

b

2

=

(

a

+

b

)

(

a

−

b

)

where

a

=

a

and

b

=

b

.

A two-way conditional frequency table for this gender is shown in table A.

A frequency table can be defined as a type of table which is typically used to graphically represent the frequencies or relative frequencies that are associated with a categorical variable.

In this scenario, a two-way conditional frequency table for this gender would be constructed as follows:

Gender    Sedan    Sport     Total

Male         0.35        0.65         1

Female     0.75        0.25         1

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Answer:

√72

Decimal Form:

1.32287565…

Step-by-step explanation:

To subtract fractions, find the LCD and then combine.

Answer:

Step-by-step explanation:

From  the diagram we can see:

The triangles have two congruent angles and one congruent side which is between those two angles.

It means the triangles are congruent by angle-side-angle or in short ASA theorem.

Correct answer choice is C

Answer: B

Step-by-step explanation:

[tex](f-g)(x)=f(x)-g(x)=(2x+1)-(x^{2}-7)=2x+1-x^{2}+7=\boxed{-x^{2}+2x+8}[/tex]

Answer:

the algebraic expression is; x+15

Answer:

25

Step-by-step explanation:

x+115=180 (straight angle)

x= 65

y= 180-90-65

=25

The correct answer is option C which is the height of the plant increases by 2 mm for every hour of sunlight it receives.

The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.

Given equation is as follows:-

Here x is the variable which depends on the amount of sunlight and 4 is the original height of the plant so as the sunlight varies the value of x changes and it increases the height of the plant by 2 mm.

The graph of the equation is also attached with the answer. Therefore the correct answer is option C which is the height of the plant increases by 2 mm for every hour of sunlight it receives.

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The single transformation that will cause the same effect as that of these two transformation is  the reflection of shape in the x-axis .

(x,y) -----------> (x,−y)

The change done to a shape on a coordinate plane by reflection ,translation and rotation is a called Transformation .

It is given that a shape is rotated to its origin

Then its image is reflected in the y axis.

The single transformation that would have the same result as the two transformations is (x,y) to (x,−y)

reflection of shape in x-axis .

The x stays the same, but the y changes sign.)

The change caused by Rotation by 180° about the origin,

(x,y) ------->  (−x,−y)

The change caused when reflected in the y-axis,

(x,y) --------> (−x,y)

Therefore the single transformation that will cause the same effect as that of these two transformation is  the reflection of shape in the x-axis .

(x,y) -----------> (x,−y)

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The only equation that is written in descending order is

2x³+4x²-7x+5 , Option D is the correct answer.

A polynomial is a mathematical expression consisting of variables , constants and mathematical operators.

The standard form of a polynomial is

[tex]\rm a_1x^n +a_2x^{n-1}+............+a_0[/tex]

The only equation that is in its standard form or in other words

The only equation that is written in descending order is

2x³+4x²-7x+5 , Option D is the correct answer.

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The statement; Approximately 120 families turned on their televisions for less than 37 hours is true.

From the task content, since the 10% percentile of the data corresponds to 24 families, it.follws that the total number of families sampled is; 24 × 10 = 240 families.

On this note, after the first 120 data points, the median is determined to be 33.2 hours which is less than the mean. Conclusively, it follows that approximately 120 families turned on their televisions for less than 37 hours.

Hence, the statement is true.

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