3
Craig stops at a gas station to fill his tank. He must choose between full-service and self-service and between regular,
midgrade and premium gasoline. How many possible combinations are there?
A2.
B6
C4
D8

Answer:

The discriminant equates to 0. (the expression underneath the square root sign will equal 0) This means that the curve will not cross the x-axis in two places.

Answer:

b²-4ac=0

Step-by-step explanation:

where

b²-4ac <0 it has no solution

b²-4ac >0 it has two solution

The best estimate for 225% of 50 is (a) greater than O but less than 1. 50

The maximum likelihood method will be used to calculate the point estimate as follows:

T, note the total number of trials.

List the number of accomplishments, S.

MLE = S / T should be used. Your point estimate is the outcome. Prior to explaining a "formal" method of approximation by rounding each number in the calculation to one significant figure, students must first estimate the result of a computation, use a calculator to determine the precise result, then compare the two results. The most accurate estimate is a definite estimate, as it is created by estimating the individual expenses for the various aspects of the project and then combining them into one estimate. Typically, bottom-up estimates are classified under this heading.

The best estimate for 225% of 50 is

= (225*50)/100

= 11250/100

= 112.5

So that, The best estimate for 225% of 50 is (a) greater than O but less than 1. 50

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if you are looking for the missing angle then C=58*

if you are looking for the missing sides then you might need to ask someone else

The length of the fencing that the city needs to surround the park will be 380.50 yards.

Assume L is the length and W is the width. Then the area is given as,

A = L × W

And the perimeter is given as,

P = 2(L + W)

The city of vine View is building a new rectangular park for the townspeople. The park will have an area of 8,925 square yards if the width of the park is to be 84 yards. Then the length of the rectangular park is calculated as,

8925 = L × 84

L = 106.25 years

Then the length of the fencing that the city needs to surround the park will be given as,

P = 2(106.25 + 84)

P = 2 × 190.25

P = 380.5 yards

The length of the fencing that the city needs to surround the park will be 380.50 yards.

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The measure of x = 5, in the given diagram of a trapezoid.

A trapezoid is a four-sided shape with one parallel pair of sides. It is essentially a two-dimensional shape or figure similar to a square, rectangle, or parallelogram. As a result, this shape, like other shapes, has a perimeter and an area.

When two parallel lines are intersected by a transversal, the pair of interior angles on the same side of the transversal are supplementary.

Therefore, ∠D + ∠E = 180°

17x - 10 + 21x = 180°

38x − 10 = 180°

38x = 180° + 10

38x = 190

x = 190/38

x = 5

Thus, The measure of x = 5, in the given diagram of a trapezoid.

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The expression for area of the rectangles are obtained as x² + 10x + 21 and  x² - 9x + 8 respectively. The correct options for both parts are (C) and (B) respectively.

An algebraic expression can be obtained by doing mathematical operations on the variable and constant terms.

The variable part of an algebraic expression can never be added or subtracted from the constant part.

The dimension of both the rectangles are given as,

First rectangle : (x + 3) and (x + 7)

Second rectangle : (x - 1) and (x - 8)

Since, the area of a rectangle is product of its dimensions.

It can be obtained as,

Area of first rectangle is given as,

⇒ (x + 3) × (x + 7)

⇒ x² + 10x + 21

Area of second rectangle is given as,

⇒ (x - 1) × (x - 8)

⇒ x² - 9x + 8

Hence, the area of both the rectangles are obtained as  x² + 10x + 21 and  x² - 9x + 8 respectively.

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Answer:

4

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

7+16+11+12+10+16= 72

72/6 = 12

a. The trigonometric ratio tanθ = -√(sec²θ - 1)

b. The trigonometric ratio secθ = -1/√(1 - sin²θ)

Trigonometric ratios are the following mathematical expressions sinθ, cosθ, tanθ,secθ,cosecθ and cotθ.

Since we want to express tanθ in terms of secθ in the second quadrant,using the trigonometric identity

tan²θ + 1 = sec²θ

Making tanθ subject of the formula, we have that

tan²θ = sec²θ - 1

tanθ = ±√(sec²θ - 1)

Since in Quadrant II, tanθ is negative, we choose the negative answer.

So, tanθ = -√(sec²θ - 1)

Since we want to express tanθ in terms of secθ in the second quadrant,using the trigonometric identity

secθ = 1/cosθ and

sin²θ + cos²θ = 1

Making cosθ subject of the formula, we have that

cos²θ = 1 - sin²θ

cosθ = ±√(1 - sin²θ)

So, secθ = 1/cosθ

= ±1/√(1 - sin²θ)

Since in Quadrant III, secθ is positive, we choose the positive answer.

So, secθ = -1/√(1 - sin²θ)

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Answer:488441

Step-by-step explanation:

Answer:

9 in.

Step-by-step explanation:

the sum of two sides in a triangle is always longer than the 3rd side. so 9 is the only answer that fits this condition.

Answer:

4071.5 in^2

Step-by-step explanation:

The surface area of a sphere of radius r is A = 4πr²

In this case, with r = 18 in, A = 4π(18 in)² = 4071.5 in²

Answer:

Mizuki here to help! The recommended number of flowers is 32! Hi hanako-kun btw! Where is daikon legs-

Step-by-step explanation:

24 ÷ 12 = 2

16 x 2 = 32

The equation to find the root of the statement given in the question is , 12x = 2x - 24.

Let the number of tamp which Ritu have be x

Then the number of tamp which Raj have be 2x = 24

Now as Ritu has 6 times more than Raj , 6( 2x) = 24 x 6

Therefore, the required equation becomes,

12x = 2x - 24

=> 10x = 24

=> x = 2.4 answer.

An equation is a mathematical statement which is made up of constants , variables and operators. There are two parts of an equation which are equated using the equal sign . The right hand and the left hand side of the equation.

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Answer: It looks like you are trying to find the value of the function h(x) = √ (x-3) - 2.

To find the value of this function for a given value of x, you need to substitute the value of x into the function definition and simplify the expression.

For example, if you want to find the value of h(x) for x = 5, you would substitute 5 for x in the function definition and simplify the expression to get:

h(5) = √(5-3) - 2

= √2 - 2

= 1.4 - 2

= -0.6

Therefore, the value of h(x) for x = 5 is -0.6.

You can follow this same process to find the value of h(x) for any other value of x. Just be sure to substitute the correct value of x into the function definition and simplify the expression to find the final result.

Step-by-step explanation:

Answer:

g[f(x)]

Step-by-step explanation:

Given functions:

[tex]f(x)=x-3[/tex]

[tex]g(x)=\sqrt{x}-2[/tex]

Composite functions are when the output of one function is used as the input of another.

Therefore, to create √(x-3)-2, substitute the function f(x) in place of the x in function g(x):

[tex]\begin{aligned}\implies g[f(x)]&=\sqrt{f(x)}-2\\&=\sqrt{x-3}-2\end{aligned}[/tex]

100 terabytes of data must be used in order for Charles' internet bill to equal Wilma's internet cost.

Assume that there are x gigabytes of data.

The equation for Charles is y = 0.25x since he pays $0.25 for each gigabyte of data.

The calculation for Wilma is y = 0.05x + 20 because she pays a flat rate of $20 and $0.05 per gigabyte.

Charles must pay the same amount for internet service as Wilma, so;

0.25x = 0.05x + 20

0.2x = 20

x = 20/0.2

x = 100

Hence, 100 terabytes of data must be used in order for Charles' internet bill to equal Wilma's internet cost.

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B typically stands for "Be" in texting. Depending on the context, it could mean different things. For example, it could mean "Be mine" or "Be mine forever" when expressing affection for a girl. It could also mean "Be safe" when wishing someone well.

1. B is a commonly used acronym in texting.

2. It typically stands for the word "Be".

3. Depending on the context, it could mean different things such as expressing affection for a girl or wishing someone well.

B is an acronym commonly used in texting that typically stands for the word "Be" and can have different meanings depending on the context.

B typically stands for "Be" in texting. Depending on the context, it could mean different things. For example, it could mean "Be mine" or "Be mine forever" when expressing affection for a girl. It could also mean "Be safe" when wishing someone well.

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Answer:

f(x) = -1/2x² + 3/2x - 2

f(0) = (-1/2 × 0²) + (3/2 × 0) - 2

f(0) = 0 + 0 - 2

f(0) = -2

THANK YOU!!( ◜‿◝ )♡

Answer:

Range and Domain= all real numbers

positive infinity to negative infinity

Step-by-step explanation:

Answer:

potato paste recipe for the same recipe as it has made

Step-by-step explanation:

French fry

The value of YZ = 2 units.

The Latin words "col" and "linear" are combined to form the word "colinear." "Col" stands for "together," and "Linear" is a line. Collinear points are hence points that are situated along a single line. Numerous instances of collinearity can be observed in daily life, such as a line of pupils standing together.

Given X, Y, and Z are collinear. Y is between X and Z.

so XY + YZ = XZ

given XY = 12 units and XZ = 14 units

XY + YZ = XZ

12 + YZ = 14

YZ = 14 - 12

YZ = 2 units

Hence measure of YZ is 2 units.

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Answer:

the correct answer is 302cm²

Answer:

[tex]232 ~cm^2[/tex]

Step-by-step explanation:

[tex]2(8*10)+2(2*10)+2(8*2)=[/tex]

[tex]2*80+2*20+2*16=[/tex]

[tex]160+40+32=[/tex]

[tex]232[/tex]

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

hope it helps...

have a great day!!

It divides by three. According to the law of divisibility for three, a number is fully divisible by three if its digit sum is likewise divisible by three.

The divisibility rule is a clear and useful method for determining if an integer is divisible by a given set of divisors without actually doing division, sometimes simply looking at the integer's digits. The divisibility test allows you to rapidly determine if a given integer can be divided by a specified divisor without actually doing the division process. The quotient must be an integer and the remainder must be zero when dividing two numbers precisely.

here  

add all the numbers,

326 = 3+2+6 = 11

so it is not divisible by 3

327 = 3+ 2 + 7 = 12

so it is divisible by 3

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Answer:

Isosceles triangle.

Step-by-step explanation:

The first side of the given triangle = 6 units

The second side of the given triangle = 6 units

The third side of the given triangle = 9 units

In an isosceles triangle, two sides of a triangle are equal and if sides are equal they have the same angle at the base.

The given triangle is an isosceles triangle.

Answer:

D. shows (6,9)

Step-by-step explanation:

(6,9)

x. y

x=6, y=9

Answer:

Given

We know in the III quadrant both sine and cosine are negative.

Use the following identities to get values of sinθ and cos θ

Substitute the value of tanθ and find sine and cosine:

Answer:

(2,4)

Step-by-step explanation:

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Given:

The function is:

[tex]y=-3(x+1)^2-1[/tex]

The parent function is:

[tex]y=x^2[/tex]

To find:

The transformation of the given function from the parent function.

Solution:

The transformation of a function is given by:

[tex]g(x)=kf(x+a)+b[/tex]                .... (i)

Where, k is stretch factor, a is horizontal shift and b is vertical shift.

If 0<k<1, then the graph compressed vertically by factor k and if k>1, then the graph stretch vertically by factor k.

If k<0, then the graph of f(x) is reflected across the x-axis.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

The given function can be written as is:

[tex]g(x)=-3(x+1)^2-1[/tex]

Let the parent function be [tex]f(x)=x^2[/tex], then

[tex]g(x)=-3f(x+1)-1[/tex]                 ...(ii)

On comparing (i) and (ii), we get

[tex]k=-3,a=1,b=-1[/tex]

Therefore, the graph of parent function is stretched vertically by by factor 3 and reflected across the x-axis because [tex]k=-3[/tex], after that the graph of the function shifts 1 unit left and 1 unit down to get the graph of given function.