Lourdes could choose to pay an ATM fee to get cash or use a credit card to pay for groceries


that cost $48. The credit card charges interest if the balance is not paid at the end of the month.


Should she use the debit card or credit card? Justify your choice.

Answer:

<1 = 107.5 degrees

<2 = 72.5 degrees

Step-by-step explanation:

<1 = x

<2 = x -35

x + x - 35 = 180

2x = 180+35

x = 215/2

x = 107.5

<1 = 107.5

<2 = 72.5

Answer:

78

Step-by-step explanation:

Answer:

34 39/50 or 1739/50 as improper fraction

Step-by-step explanation:

34 is the whole number, and you have .78 left over

.78 is equal to 78/100

when simplified, 78/100 becomes 39/50

Answer is 34 39/50

Thanks for the Brainly points by the way :)

Answer:

The price of a child ticket in dollars $8.00

Step-by-step explanation:

Answer:

Simplify: –3(y + 2)2 – 5 + 6y

What is the simplified product in standard form?

-3

y2 +

-6

y +

-17

Step-by-step explanation:

The simplification of the given expression will be -17.

The process of reducing the complex mathematical expressions into the simplest form is called simplification.

Given expression will be simplified as:-

= -3 ( y  +  2 ) 2  -  5  +  6y

= ( -3y  -  6 ) 2   -  5    +   6y

= ( -6y  -  12  -5   +  6y  )

= (  -17  )

Hence the simplification of the given expression will be -17.

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Answer:  D: x ≥ -2/3

Step-by-step explanation:

g(x) = 3x + 2         j(x) = \(\sqrt{x}\)

b.  j(g(x))

    j(3x + 2) = \(\sqrt{3x+2}\)

In order to be a Real number, the number under the radical must be greater than or equal to 0.

3x + 2 ≥ 0

     3x ≥ -2

      x ≥ -2/3

Answer:

C. He found the midpoint of a segment.

Step-by-step explanation:

The midpoint is the point that divides a segment into two equal parts. Thus it is located at the middle of the segment.

John used this simple method to determine the midpoint of a segment. For example, let a segment AB = 10 cm be folded in half. A point made at the fold would be at 5 cm, which is the midpoint of the segment.

Thus the appropriate answer to the question is option C.

VW = 6

hope it helps...!!!

Answer:

Step-by-step explanation:

1 dollar for every 1 ticket.

~~~~~~~~~~~~~~~~~~~~~~~~~~~`

Hope I helped!!!

GL :)

Answer: 75 the other guy is correct

Step-by-step explanation:

The total number of seeds that Josiah would plant would be = nR×S

To determine the total number of seeds that Josiah will plant will be to add the seeds in the total number of rooms he planted.

Let each row be represented as = nR

Where n represents the number of rows planted by him.

Let the seed be represented as = S

The total number of seeds he planted = nR×S

Therefore, the total number of seeds that was planted Josiah would be = nR×S.

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Answer:

0.6*0.7=0.42

Step-by-step explanation:

10 total pulling not green is 6/10

not pulling yellow 7/10

The probability that Joe  will take no more than 7 tries to pass it is calculated as 0.7712.

Given: Every time Joe takes the fourth statistics quiz, he has a 19% chance of passing.

Mean = μ = 1/p = 1/(19/100) = 100/19 ≈ 5.26

Variance = σ² = (1-p)/p² = \(\frac{1-(19/100)}{19/100}^{2}\) 8100/361 ≈ 22.4376

Standard Deviation = σ = \(\sqrt{ \frac{1-p}{p^2} }\) = \(\sqrt{ \frac{1-(19/100)}{(19/100)^2} }\) = 90/19 ≈ 4.736

P(X = 7) = 0.05366

P(X<7) = 0.7175

P(X≤7) = 0.7712

Therefore, the probability that Joe  will take no more than 7 tries to pass it is 0.7712.

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Answer:

2/3

Step-by-step explanation:

you can turn 1/5 into 3/15

3/15 + 2/15 = 5/15

5/15 = 2/3

If y1 and y2 are continuous random variables with joint density function f (y1, y2) = ky1e−y2 , 0 ≤ y1 ≤ 1, y2 > 0 then,

a) k = 1 - e^(-1) ≈ 0.632,

b) fy1(y1) = ∫f(y1, y2)dy2 = ky1∫e^(-y2)dy2 = ky1(-e^(-y2))|y2=0 to y2=∞ = k*y1,

c) f(y2 | y1 < 1/2) = f(y1,y2)/fy1(y1) = e^(-y2)/(1 - e^(-1))*y1, for 0 ≤ y1 ≤ 1/2 and y2 > 0.

(a) To find k, we must integrate the joint density function over the entire range of y1 and y2, and set the result equal to 1, since the density function must integrate to 1 over its domain:

∫∫ f(y1,y2) dy1 dy2 = 1

∫0∞ ∫0¹ f(y1,y2) dy1 dy2 = 1

∫0∞ (k y1 e^-y2) dy2 ∫0¹ dy1 = 1

k ∫0∞ (y1 e^-y2) dy2 ∫0¹ dy1 = 1

k ∫0¹ y1 dy1 ∫0∞ e^-y2 dy2 = 1

k(1/2)(1) = 1

k = 2

Therefore, the joint density function is f(y1,y2) = 2y1e^-y2, 0 ≤ y1 ≤ 1, y2 > 0.

(b) To find fy1(y1), we must integrate the joint density function over all possible values of y2:

fy1(y1) = ∫0∞ f(y1,y2) dy2

fy1(y1) = 2y1 ∫0∞ e^-y2 dy2

fy1(y1) = 2y1(1) = 2y1

Therefore, fy1(y1) = 2y1, 0 ≤ y1 ≤ 1.

(c) To find f(y2 | y1 < 1/2), we need to use Bayes' rule:

f(y2 | y1 < 1/2) = f(y1 < 1/2 | y2) f(y2) / f(y1 < 1/2)

We know that f(y2) = 2y1e^-y2 and f(y1 < 1/2) = ∫0^(1/2) 2y1e^-y2 dy1.

First, we need to find f(y1 < 1/2 | y2):

f(y1 < 1/2 | y2) = f(y1 < 1/2, y2) / f(y2)

f(y1 < 1/2, y2) = ∫0^(1/2) ∫0^y2 2y1e^-y2 dy1 dy2

f(y2) = ∫0∞ ∫0^1 2y1e^-y2 dy1 dy2

Using these equations, we can find:

f(y1 < 1/2 | y2) = ∫0^(1/2) ∫0^y2 2y1e^-y2 dy1 dy2 / ∫0∞ ∫0^1 2y1e^-y2 dy1 dy2

f(y1 < 1/2 | y2) = 1 - e^(-y2/2)

f(y2) = 2y1e^-y2

f(y1 < 1/2) = ∫0^(1/2) 2y1e^-y2 dy1 = [2(1-e^(-y2/2))] / y2

Substituting these expressions back into Bayes' rule, we get:

f(y2 | y1 < 1/2) = (1 - e^(-y2/2)) * y1e^-y2 / (1-e^(-y2/2))

Simplifying this expression, we get:

f(y2 | y1 < 1/2) = y1 * e^(-y2/2), 0 < y2 < ∞

Therefore, the conditional density of y2 given that y1 < 1/2 is f(y2 | y1 < 1/2) = y1 * e^(-y2/2), 0 < y2 < ∞.

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Answer:

Cost of the first house : $480,000

Cost of the second house : $320,000

Step-by-step explanation:

An estate agent has three houses for sale. The prices of the houses were

in the ratio 6:4:3 and the cheapest house was priced at $240 000. What

were the prices of the other two houses? (SHOW WORKING)​

The prices of the house has a ratio of

6:4:3

Sum total = 6 + 4 + 3 = 13

Cheapest house = $240,000

The sum total cost of the 3 houses = x

x is calculated as:

= 3/13 × x =$ 240,000

= 3x = $240,000 × 13

x = $240,000 × 13/3

x = $1,040,000

The Cost of the first house =

6/13 × $1,040,000

= $480,000

Cost of the second house

= 4/13 × $1,040,000

=$320,000

Therefore,

Cost of the first house : $480,000

Cost of the second house : $320,000

Answer:

8.4 / 5 = 1.68

1.68 X 3 = 5.04

5.04 pints of white paint

The graph of both functions are in the image at the end, and the vertex of g(x) are (0, 0).

Here we know that the function f(x) is:

f(x)= (x + 3)² - 2

And g(x) is a translation of 3 units to the right, 2 units up, and reflected over the x-axis, then we have:

g(x) = -[ f(x - 3) + 2]

Replacing f(x) we get:

g(x) = -[ (x + 3 - 3)²  -2 + 2]

g(x) = -x²

The graphs of both functions are the ones in the image at the end, there we can see that the vertex of g(x) is (0, 0).

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Answer:

The answer for Q35 is : 176 cubic feet

Step-by-step explanation:

V = 16×3×2+16×5

= 96 + 80

= 176 cubic feet

The x-intercepts and slopes of 18y = -3x + 4 and  4/3 x - 5 = 3y are -1/6, (0, 2/9), (4/3, 0) and 4/9, (0, -4/3) and (3, 0) respectively

A line is defined as the shortest distance between two points. The equation of a line in slope-intercept form is expressed as;

y = mx +b

where

m is the slope

b is the y-intercept

For the equation 3x + 18y = 4

18y = -3x + 4

y = -1/6x +2/9

Slope = -1/6

y-intercept =(0, 2/9)

For the x-intercept;

18(0) = -3x + 4

3x = 4

x = 4/3

The x-intercept of the line is (4/3, 0)

For the equation 4/3 x - 5 = 3y

3y = 4/3 x - 4

y = 4/9 x - 4/3

The slope = 4/9

y-intercept = (0, -4/3)

For the x-intercept

3(0) = 4/3 x - 4

4/3 x = 4

x = 3

The x-intercept of the line will be (3, 0)

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Answer:

154m , 160m

Step-by-step explanation:

Let width of the rectangle = w

Length = w + 6

Perimeter of rectangle = 628 m

2( length + width ) = 628

2( w + 6 + w) = 628        {Combine like terms}

2*( 2w +6 ) = 628            {Distributive property}

2*2w + 2*6 = 628

4w + 12 = 628         {subtract 12 from both sides}

        4w = 628 - 12

        4w = 616       {Divide both sides by 4}

        w = 616/4

       w = 154 m

Length = w + 6 = 154 + 6 = 160 m

The characteristic displayed by the graph by virtue of the number of turning points and end behaviour is; Odd function.

It follows from the task content that the characteristic displayed by the graph is to be determined.

By observation, first, the graph has a odd number of zeroes and also has 2 turning points; it most likely indicates that the graph is of degree 3 and it's end behaviours suggest an odd function.

On this note, it can be inferred that the given graoh is an odd function.

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The surface area of the triangular prism is 4800 square yard.

The surface area of a triangular prism is sum of the areas of the faces that make the prism.

The surface area of a triangular prism is given by:

SA = (a + b + c)L + bc

Where a and b are the bases of the rectangular faces, c is the height of the triangle and h is the total length of the prism

In this case:

L = 40, a = 34, b = 32 and c = 30

SA = (34 + 32 + 30)40 + (32 * 30)

SA = 3840 + 960

SA = 4800 square yard

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Mia walked 7km/h so after 1 hour, she is 7 km north of the house of Julia

Samantha walked 11km/h so after 1 hour, she is 11 km west of the house of Julia.

The points where Mia and Samantha are after 1 hour , and the house of Julia form a right triangle with sides 7 and 11 km. The distance between the girls, is the hypotenuse of his triangle.

by the pythagorean theorem:

Answer: 13 km

Answer:

C

Step-by-step explanation:

Answer:

7 and 14

Step-by-step explanation:

Answer:

1 and 6.

Step-by-step explanation:

Vertical angles are angles directly opposite to each other. Let's go through each of the answer choices.

9 and 13.

9 and 13 are adjacent/supplementary angles. They are not directly opposite from each other.

1 and 6.

1 and 6 are directly opposite from each other. Thus, they are indeed vertical angles. This is the correct choice.

7 and 14.

7 and 14 share no relationship.

3 and 6.

Again, 3 and 6 are simply adjacent angles. They are not directly opposite from each other, so they are not vertical.

Answer:

Cluster analysis is used to identify groups of entities that have similar characteristics is a true statement.

Step-by-step explanation:

Cluster analysis is a statistical technique used to identify groups or clusters of entities that exhibit similar characteristics or behaviors. It is a common method employed in data mining, machine learning, and exploratory data analysis.

The goal of cluster analysis is to group data points or entities in a way that maximizes the similarity within each cluster and minimizes the similarity between different clusters. The similarity or dissimilarity between data points is typically measured using a distance or similarity metric, such as Euclidean distance or correlation coefficient.

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Area of the cement path = (π * (R1)^2) - (π * (R2)^2)

To find the area of the cement path surrounding the circular hot tub, follow these steps:

1. Calculate the area of the entire circular region, including both the hot tub and the cement path. You'll need the radius of this larger circle. Let's call this radius R1.

2. Calculate the area of the circular hot tub itself. You'll need the radius of the hot tub. Let's call this radius R2.

3. Subtract the area of the hot tub from the area of the entire circular region to find the area of the cement path.

Here's the formula for the area of a circle: Area = π * (radius)^2

Step 1: Area of the entire circular region (hot tub + cement path) = π * (R1)^2
Step 2: Area of the hot tub = π * (R2)^2
Step 3: Area of the cement path = Area of the entire circular region - Area of the hot tub


Once you have the measurements of R1 and R2, you can plug them into the formula to find the area of the cement path.

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Answer: 222 wool cards

Step-by-step explanation:

Answer:

Step-by-step explanation:

8 wool cards