Martha was collecting stickers. She got 38 stickers for her birthday, 75, stickers from her friend, and 18 stickers from her brother. She gave 25 stickers to her sister before putting them all in her sticker book. How many stickers did Martha put in her sticker book?​

The ratio of the areas of two similar polygons can be found by using the ratio of their perimeters or the ratio of similarity and squaring it which is true.

The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.

Similar polygons are those whose perimeter ratios are identical to their respective scale factors. The common fraction of the sizes of two matching sides of two identical polygons is known as a scale factor.

The given statement is true.

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The general expression for the area of circle with radius r is express as :

In the given circle : radius is 5ft

Substitute radius = 5 ft in the expression for the area of circle :

Answer : Area of circle is 78.5 square feet

Answer:

Step-by-step explanation:

\(y=(\frac{1}{g} )x\)

Constant up a proportionally is  \(\frac{1}{g}\).

Answer:

Step-by-step explanation:

To get the y values all you need to do is substitute the x value in the equation y=-2/3x+7.

For example:

y=-2/3(-6)=7

-2/3x6=-4

-4+7=3

(-6,3)

You can double check your work by filling the x and y coordinates in the equation and when solved if it it true you know you were correct.

To get the x value, you need to fill in the y in the equation y=-2/3x+7

for example:

5=-2/3x+7

-2=-2/3x

3=x

(3,5)

y=-2/3x+7

y=-2/3(15)+7

y=-10+7

y=-3

(15,-3)

y=-2/3x+7

15=-2/3x+7

8=-2/3x

-12=x

(-12,15)

ANSWER :

(4, 2)

EXPLANATION :

We have the point (-4, 5)

Translating it 8 units to the right will increase the x-coordinate by 8

Translating it 3 units down will decrease the y-coordinate by 3

Then :

Answer:

its C. do you need an explanation? i could give one if you want

Step-by-step explanation:

Answer:

1 1/3

Step-by-step explanation:

Answer:

12/9= 1 and 1/3

Step-by-step explanation:

The value of the total amount of rubber stripping, in feet, needed for the rectangular tanks is 64x + 70.

It should be noted that the perimeter of a rectangle is given as:

= 2(Length + Width)

= 2(25x + 12) + 2(7x + 18)

= 50x + 24 + 14x + 46

= 64x + 70

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Answer:

a

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

I might be wrong but i'm pretty sure it's right

Answer: 2x^2+4x+2

Step-by-step explanation:

Answer:

the volume of the solid is 1024/3 cubic unit

Step-by-step explanation:

Given the data in the question,

radius of the circular disk = 4

Now if the center is at ( 0,0 ), the equation of the circle will be;

x² + y² = 4²

x² + y² = 16

we solve for y

y² = 16 - x²

y = ±√( 16 - x² )

{ positive is for the top while the negative is for the bottom position }

A = b²

b = 2√( 16 - x² )           { parallel cross section }

A = [2√( 16 - x² )]²

A = 4( 16 - x² )

Now,

VOLUME = \(\int\limits^r -rA dx\)

= \(\int\limits^4_4 {-4(16-x^2)} \, dx\)

= 4[ 16x - (x³)/3 ]           { from -4 to 4 }

= 4[ ( 64 - 64/3 ) - (-64 = 64/3 0 ]

= 4[ 64 - 64/3 + 64 - 64/3 ]

= 4[ (192 - 64 + 192 - 64 ) / 3 ]

= 4[ 256 / 3 ]

= 1024/3 cubic unit

Therefore,  the volume of the solid is 1024/3 cubic unit

If G is not a cyclic group, then it does not have a subgroup of order p. Conversely, if G is cyclic, then it has a unique subgroup of order p.

The statement "A group G whose order is a prime number has only two subgroups, G itself and 1 = {1}" means that if G is a group with a prime number of elements, then the only subgroups of G are the trivial subgroup {1} and the group G itself.

In other words, there are no other proper subgroups of G besides these two.

The statement "A group G whose order is (p-1) where p is a prime number has a subgroup of order p if and only if G is cyclic" means that if G is a group with (p-1) elements, where p is a prime number, then G has a subgroup of order p if and only if G is a cyclic group.

In other words, if G is not a cyclic group, then it does not have a subgroup of order p. Conversely, if G is cyclic, then it has a unique subgroup of order p.

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The graph of the parabola is shown below:

To find the vertex we need to complete the squares of the equation, let's do this:

Therefore, the vertex of the parabola is at (1/30,-361/60) which can be express as (0.033,-6.017).

The y intercept happens when x=0, plugging this in the equation we have:

then, the y-intercept have coordinates (0,6).

Finally, the x-intercepts happens when y=0, plugging this in the equation and solving for x we have:

Therefore, the x-intercepts of the parabola are (2/3,0) and (-3/5,0) that can be written as (0.667,0) and (-0.6,0). Finally the parabola opens up, as we see on the graph.

Answer:

20 cookies

Step-by-step explanation:

Range of a data set plotted on a box plot = the maximum value - the minimum value

The maximum value is indicated by the whisker to your extreme right = 25

The minimum value is indicated by the whisker to your extreme left = 5

Range = 25 - 5 = 20

Answer:

The scale of the drawing is 1 cm to 90 m. This means that every 1 cm on the drawing represents 90 m in real life. The length of the field is 450 m, so the length of the drawing will be 450 m / 90 m = 5 cm.

Therefore, the length of the dam drawing is 5 cm.

Step-by-step explanation:

Answer: on average he needs to sell 45 stamps to go to the next convention and make an profit of 2,000

Step-by-step explanation:

5s =$250

5×50=250

2,000=40s×50p

Answer:

the measure of each angle is 75degrees

Answer:

A

Step-by-step explanation:

because it passes the vertical line test and also for every x, there is only one y

the correct answer whould be 65.62. but that is not a option for you so I dont know. try 72 it's the closest.

Answer:

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

There are two triangular faces with base of 16 cm and height of 15 cm and three rectangular faces.

Find the sum of areas of all five faces:

Answer:

\(\huge\boxed{\sf k =3}\)

Step-by-step explanation:

Graph shows that:

y ∝ x (y is directly proportional to x)

Changing proportionality into equality

y = kx  ------------(1)

Where k is the constant of proportionality

From the graph, we have y = 6 when x = 2

Putting this in Eq. (1)

6 = k(2)

Divide both sides by 2

3 = k

OR

k = 3

\(\rule[225]{225}{2}\)

Hope this helped!

Answer:

\(\large{\pink{ \underline { \underline{ \red{ \boxed{ \blue{ \sf{k = 3}}}}}}}}\)

Answer:

30

Step-by-step explanation:

50-2×(3^2+1)

50-2×(9+1)

50-2×(10)

50-20

30

Hey there!

\(50-2*(3^2+1)=?\)

You will need to use the order of operations to solve. We will need to start with parenthesis. The parenthesis includes exponents which comes after.

\((3^2+1)=10\)

Now go to multiplication.

\(2*10=20\)

Now move to subtraction since that's what we have left.

\(50-20=30\\30(ANSWER)\)

Hope this helps!

\(\text {-TestedHyperr}\)

Answer:

The probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068

Step-by-step explanation:

We use the Exponential distribution,

Since we are given that on average, 5 pregnant women with high blood pressure come per week,

So, average = m = 5

Now, on average, 5 people come every week, so,

5 women per week,

so, we get 1 woman per (1/5)th week,

Hence, the mean is m = 1/5 for a woman arriving

and λ = 1/m = 5 = λ

we have to find the probability that it takes higher than a week for a high BP pregnant woman to arrive, i.e,

P(X>1) i.e. the probability that it takes more than a week for a high BP pregnant woman to show up,

Now,

P(X>1) = 1 - P(X<1),

Now, the probability density function is,

\(f(x) = \lambda e^{-\lambda x}\)

And the cumulative distribution function (CDF) is,

\(CDF = 1 - e^{-\lambda x}\)

Now, CDF gives the probability of an event occuring within a given time,

so, for 1 week, we have x = 1, and λ = 5, which gives,

P(X<1) = CDF,

so,

\(P(X < 1)=CDF = 1 - e^{-\lambda x}\\P(X < 1)=1-e^{-5(1)}\\P(X < 1)=1-e^{-5}\\P(X < 1) = 1 - 6.738*10^{-3}\\P(X < 1) = 0.9932\\And,\\P(X > 1) = 1 - 0.9932\\P(X > 1) = 6.8*10^{-3}\\P(X > 1) = 0.0068\)

So, the probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068

Step-by-step explanation:

option A has the same value to that equation.

hope this helps you.

Answer:

a)-10-3

Step-by-step explanation:

-10+(-3)

=-13

-10-3

=-13

Answer:

$95.50

Step-by-step explanation:

50X2.59 =129.50

225-129.50= 95.50

Answer:

Estimate: $5,000.00

Actual: $6,063.72

Step-by-step explanation:

I would estimate by finding 20 x 250

I know that 10 x 250 would be 2500 and if I double that, I would get 5,000.

Helping in the name of Jesus.

The points on a parabola with the focal axis parallel to the abscissa axis, of parameter p and A, B is -12.

Since A and B are points on the parabola, write two equations using the general form of the parabolic equation:

(x - h)² = 4p(y - 1)

The focal axis is parallel to the x-axis, so the distance from the vertex to the focus is equal to p. Therefore, use the distance formula to write an equation for the distance between the vertex and point A:

√((13 - h)² + (a - 1)²) = p

Similarly, write an equation for the distance between the vertex and point B:

√((4 - h)² + (b - 1)²) = p

A and B lie on the line 2x - y - 13 = 0, so substitute the x and y coordinates of A and B into this equation and solve for a and b:

2(13) - a - 13 = 0

2(4) - b - 13 = 0

Solving these equations gives us a = 3 and b = -5.

Now three equations and three unknowns (a, b, and h):

√((13 - h)² + 4) = p + 1

√((4 - h)² + 36) = p + 1

2h - 3 - 13 = 0

The third equation simplifies to 2h = 16, or h = 8.

Substituting this value of h into the first two equations and squaring both sides:

(13 - 8)² + 4 = (p + 1)²

(4 - 8)² + 36 = (p + 1)²

Simplifying these equations and solving for p gives us p = 3.

Finally, find a" + bP by substituting the values found for a, b, and p:

a" + bP = 3 + (-5)(3) = -12

Therefore, the solution is a" + bP = -12.

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Answer:

(4,-3) = Q4

(-5,7) = Q2

(-7,-4) = Q3

Step-by-step explanation:

Q= Quadrant

Answer:

Step-by-step explanation:

(4,-3)

(-5, 7)

(-7,-4)

The set builder notation of the solution inequality represented on the number line is; {x: 3< x <=5}.

It follows from the task content that at point positive 3, there's an open circle which signifies that the number 3 is less than the solution.

And since the number line is shaded from positive 3 to 5, it follows that the maximum value in the solution set is 5.

The representation is therefore; {x: 3< x <=5}.

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On the number line, the solution inequality is represented by the notation x: 3=5, which is the set builder notation of the inequality.

This is further explained below.

Given the information provided in the job, it is logical to conclude that at point positive 3, there will be an open circle. This will indicate that the number 3 will be lower than the answer.

And since the shading on the number line goes from positive 3 to 5, it follows that the highest value that can be found in the set of solutions is 5.

As a result, the representation is written as:

"x: 3 x = 5."

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