help please, solve prob in the picture

"200" (and any subsequent words) was ignored because we limit queries to 32 words

Kate is reading 40 pages per hour.

The whole book takes 12.5 hour to complete.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

From the data we have (5, 200) and (5,0)

then slope= (200-0) / 5

                = 40

So, Kate is reading 40 pages per hour.

Now, to read the whole book i.e., 500 pages it takes

= 500/40

= 12.5 hours

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As x tends to negative one from the left, the value of f(x) tends to positive infinity. As x → -1⁻, f(x) → ∞.

In Mathematics and Geometry, the vertical asymptote of a function simply refers to the value of x (x-value) which makes its denominator equal to zero (0).

By critically observing the graph of this rational function f(x) shown below, we can logically deduce that its vertical asymptote is at x = -1 and x = 2, and its horizontal asymptote is at y = 3.

In this context, we can logically deduce that the value of f(x) tends towards positive infinity, as x tends to negative one from the left;

As x → -1⁻, f(x) → ∞.

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The dot plot is compared as follows

Maine has the least variability and more number at 50, and has the least range, in the other hand Connecticut has the greatest variability

Indiana has one outlier of above 200 while Connecticut has 2 outliers.

non of the states showed even distribution of resources

Data points are represented as dots on a graph with an x- and y-axis in a dot plot, sometimes referred to as a strip plot or dot chart, which is a straightforward type of data visualization.

These kinds of graphs are employed to visually represent particular data trends or groupings.

The data in the dot are compared based on variability, evenness of resources and outliers

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The probability that more than 2 students will attend is 0.9179.

Part (a) List the values that X may take on.

X may take on the values 0, 1, 2, 3, ..., 13.

Part (b) Give the distribution of X.

The distribution of X can be represented as follows: X-0:0, 1:0.23, 2:0.23, 3:0.23, 4:0.23, 5:0.23, 6:0.23, 7:0.23, 8:0.23, 9:0.23, 10:0.23, 11:0.23, 12:0.23, 13:0.23

Part (c) How many of the 13 students do we expect to attend the festivities? (Round your answer to the nearest whole number.)

We can expect 3 students to attend the festivities.

Part (d) Find the probability that at most 3 students will attend. (Round your answer to four decimal places.)

The probability that at most 3 students will attend is 0.6923.

Part (e) Find the probability that more than 2 students will attend. (Round your answer to four decimal places.)

The probability that more than 2 students will attend is 0.9179.

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The distance between (12,5) and (3,4) approximated to the 1 decimal place is 9.1.

To find the distance between two points \(\((x_1, y_1)\)\) and \(\((x_2, y_2)\)\), we will use the distance formula:

Distance = \(\(\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\)\)

In this case, \(\((x_1, y_1) = (12, 5)\)\) and \(\((x_2, y_2) = (3, 4)\)\).

Substituting these values:

Distance = \(\(\sqrt{(3 - 12)^2 + (4 - 5)^2}\)\)

Distance = \(\(\sqrt{(-9)^2 + (-1)^2}\)\)

Distance = \(\(\sqrt{81 + 1}\)\)

Distance = \(\(\sqrt{82}\)\)

Now, approximate value of \(\(\sqrt{82}\)\) to 1 decimal place:

\(\(\sqrt{82} \approx 9.1\)\)

So, the correct response is 9.1.

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The function that correctly defines S(x) is S(x) = 5x - 2(20 - x) + 20

We have the following definitions in the question

If the total questions is 20, then

Incorrect answers = 20 - x

So, the points gained/lost are

Gained = 5 * x = 5x

Lost = -2 * (20 - x) = -2(20 - x)

Bonus = 20

Add the above points to get the function S(x)

S(x) = 5x - 2(20 - x) + 20

Hence, the definition is S(x) = 5x - 2(20 - x) + 20

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Answer:

9.8

Step-by-step explanation:

updated

9^2=x^2+4^2

9*9=x*x+4*4

81=x*x-16

+16. +16

97=x*x

√97=√x*x

√97=x

So the answer is √97, but the question wants it rounded so it's actually 9.8

Now we know PR∥QX , according to construction with transversal line TX.

∠PTS=∠QXS (Alternate angle)

In △PTS and △QSX

∠PTS=∠QXS (Alternate angle)

∠PST=∠QSX(vertically opposite angles)

PS=SQ(S is mid point of PQ)

△PTS≅△QSX(AAS rule)

So, TP=QX(CPCT)

As we know, TP=TR (T is midpoint)

Hence, TR=QX

Now, in quadrilateral TSQR

TS∥QR

Hence proved.

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Answer:

After the 35 gel pens??

Step-by-step explanation:

Answer:

651 aren't you adding the 351 boys to the 300 girls that are non smokers

Step-by-step explanation:

(a) Through the conditional probability formula:\(P(B ∩ A) = P(B | A) P(A),\)

\(P(B / A1) P(A1) = 0.50 x 0.20 = 0.10A2 = 0.30 x 0.30 = 0.09A3= 0.40 x 0.50 = 0.20\)

(b)Bayes' theorem gives

\(P(A2 | B) = p(B | A2) p(A2) / [p(B | A1) P(A1) + p(B | A2) P(A2) + p(B | A3) p(A3)]= 0.26Thus, P(A2 | B) = 0.26.\)

(c)the tabular approach can show us

Events      P(Ai)    P(B | Ai)   P(Ai ∩ B)   P(Ai | B)

A1          0.2     0.5       0.1        0.167

A2          0.3     0.3       0.09      0.307

A3          0.5     0.4       0.2        0.526

Therefore,\(P(A1 | B) = 0.167, p(A2 | B) = 0.307, p(A3 | B) = 0.526.\)

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The general solution for  mx" + Bx' = mg for r(t) is x(t) = 25e^(-x/5) + 5x -125

According to the question,

The given equation =  mx" + Bx' = mg

Also , mg = 160, B = 1, and g = 32

=> m = 160/g

=> m = 160/32 = 5

Substituting the values in equation ,

5x" + x' = 160 , x(0) = -100, x' (0) = 0

The characteristic equation of the homogeneous differential equation is

5x" + x' = 0

=>  5r² + r = 0

=> r = 0 , -1/5

The complementary solution is x = c₁e⁰ + c₂e⁻⁰°²

Solution for complementary is yc = ax + b

Substitute yc = ax + b in  5x" + x' = 160 to get

5(0) + a = 160

=> a = 160

So the general solution is

x(t) = 25e^(-x/5) + 5x -125

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Answer:

vggyyrt5 gf t66t6

Step-by-step explanation:

yy dry t6t ty y yuri u fry uu huf yy875

Answer:

Step-by-step explanation:

average of x-coordinates = (7+1)/2 = 4

average of y-coordinates = (-3-1)/2 = -2

center of circle: (4,-2)

radius = distance between (1,-1) and (4,-2)

= √((4-1)²+(-2-(-1))²)

= √10

equation of circle:

(x-4)² + (y+2)² = 10

Answer:

52% of Ms. Green's class has a pet.

Step-by-step explanation:

So, I did this as simple as possible. First, I changed 25 to 100 to represent 100%. I multiplied 25 by 4 to get 100, so I then multiplied 13 by 4 to get 52.

25 → 100

13  →  52

So, this means that the answer is 52%.

A way to check, is by looking at the answer and seeing if it looks correct. Most of the time, you will be able to see if your answer is correct just by looking at it.

(a) The amount of copper present in the resulting mixture is 180 g (b) The percentage of copper in the resulting mixture is 56.25 %

In chemistry, a mixture is a material made up of two or more different chemical substances which are not chemically bonded.

(a) To calculate the amount of grams pf copper that are present in the resulting mixture, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

(b) To calculate the percentage of copper in the resulting mixture, we use the formula below.

Formula:

Where:

Substituting the respective values into equation 2

Hence, (a) The amount of copper present in the mixture is 180 g (b) The percentage of copper is 56.25 %.

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The equation 6( 3x + 4 ) + 2( 2x + 2 ) + 2 = 22x + 31 has no solution for the variable x.

Given the equation in the question:

6( 3x + 4 ) + 2( 2x + 2 ) + 2 = 22x + 31

To solve the equation 6(3x + 4) + 2(2x + 2) + 2 = 22x + 31 for the variable x, we will simplify and solve for x.

Apply distributive property:

6 × 3x + 6 × 4 + 2 × 2x + 2 × 2 + 2 = 22x + 31

18x + 24 + 4x + 4 + 2 = 22x + 31

Collect and combine like terms on both sides:

22x + 30 = 22x + 31

Next, we want to isolate the variable x on one side.

22x - 22x + 30 = 22x - 22x + 31

30 = 31

However, we notice that the x terms cancel out when subtracted:

30 ≠ 31

This means that there is no solution.

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Answer:

6 feet per minute.

Step-by-step explanation:

The turtle and snail are moving towards each other, so their speeds add up. Therefore, the combined speed at which they approach each other is:

5 feet/min (turtle's speed) + 1 feet/min (snail's speed) = 6 feet/min

Therefore, the turtle and snail are approaching each other at a speed of 6 feet per minute.

Answer:

6 feet per minute.

There are 52 students taking none of the three languages.

There are 14 students taking both Arabic and Bulgarian. Of these, some may also take Chinese. We can find out how many by subtracting the students taking only Arabic or only Bulgarian from the total number of students taking Arabic and Bulgarian (14 + 15 + 19 = 48). So, 48 - 30 - 19 = 15 students are taking both Arabic and Bulgarian, and some of them may also take Chinese.

Next, we can subtract the students taking only Arabic, only Bulgarian, and only Chinese from the total number of students taking each language to find out how many students are taking all three languages.

From the students taking Arabic, we subtract the 15 students taking only Arabic: 30 - 15 = 15 students who may also be taking Bulgarian and Chinese.

From the students taking Bulgarian, we subtract the 19 students taking only Bulgarian: 36 - 19 = 17 students who may be taking Arabic and Chinese.

From the students taking Chinese, we subtract the 19 students taking only Chinese: 35 - 19 = 16 students who may be taking Arabic and Bulgarian.

So, there are 15 + 17 + 16 = 48 students who are taking some combination of the three languages.

Finally, to find out how many students are taking all three languages, we subtract the students taking only two of the languages from the total number of students taking some combination of the three languages (48 - (15 + 19 + 17) = 48 - 51 = -3). This means there are no students taking all three languages.

To find out how many students are taking none of the three languages, we subtract the total number of students taking some combination of the three languages from the total number of students at the school (100 - 48 = 52).

Hence, there are 52 students taking none of the three languages.

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For your question you can try option #3

9514 1404 393

Answer:

  $48

Step-by-step explanation:

You are being asked to find the total surface area of the rectangular prism that is 14 in by 8 in by 4 in. Then you are to multiply that value by 3 (to make it be the area of 3 boxes). After that, you need to multiply by the cost per square inch to find the cost of the wrapping paper for three boxes.

__

The area formula is ...

  A = 2(LW +H(L+W))

Filling in the given dimensions, we have ...

  A = 2(14×8 +4(14 +8)) = 2(112 +4(22)) = 2(200) = 800 . . . square inches

The area of the box for 1 pair of shoes is 800 square inches, so the area of the boxes for 3 pairs of shoes is ...

  3 × 800 in² = 2400 in²

And the cost is ...

  (2400 in²)($0.02/in²) = $48

The cost to cover three shoe boxes is $48.

Answer:

48 $ box's............

\(\text{Solve by plugging in 3 to x:}\\\\f(x)=5+4(3)^2\\\\f(x)=5+4(9)\\\\f(x)=5+36\\\\f(x)=41\\\\\boxed{f(3)=41}\)

Answer:

hope this helps

Step-by-step explanation:

f(x) = 5 + 4x^2, then f(3)

5 + 4(3)^2

5+4(9)

5+36

41

The interest is 16% compounded semi-annually, is Rs. 121,179.10.

To determine how much money needs to be deposited now to provide a payment of Rs. 15,000 at the end of each half year for 10 years, we will use the formula for the present value of an annuity.

Present value of an annuity = (Payment amount x (1 - (1 + r)^-n))/rWhere:r = interest rate per compounding periodn = number of compounding periodsPayment amount = Rs. 15,000n = 10 x 2 = 20 (since there are 2 half years in a year and the payments are made for 10 years)

So, we have:r = 16%/2 = 8% (since the interest is compounded semi-annually)Payment amount = Rs. 15,000Using the above formula, we can calculate the present value of the annuity as follows:

Present value of annuity = (15000 x (1 - (1 + 0.08)^-20))/0.08 = Rs. 121,179.10Therefore, the amount that needs to be deposited now to provide payment of Rs. 15,000 at the end of each half year for 10 years, if the interest is 16% compounded semi-annually, is Rs. 121,179.10.

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1) The area of a circle circumscribed about a square is 307.7 cm².

2.a.) The angle ACB is 39 degrees.°.

2b.) The value of x is 5.42.

We shall find the radius to determine the area of a circle.

First,  find the side length of the square:

Since the perimeter of the square = 56 cm, then, each side of the square is 56 cm / 4 = 14 cm.

Next, find the diagonal of the square, using the Pythagorean theorem:

Diagonal = the diameter of the circumscribed circle.

Diagonal² = side length² + side length²

= 14 cm² + 14 cm²

= 196 cm² + 196 cm²

= 392 cm²

Take the square root of both sides:

Diagonal = √392 cm ≈ 19.80 cm (rounded to two decimal places)

Then, the radius of the circle which is half the diagonal:

Radius = Diagonal / 2 ≈ 19.80 cm / 2 ≈ 9.90 cm (rounded to two decimal places)

Finally, compute the area of the circle using the formula:

Area = π * Radius²

Area = 3.14 * (9.90 cm)²

Area ≈ 307.7 cm² (rounded to two decimal places)

Therefore, the area of the circle that is circumscribed about a square with a perimeter of 56 cm is 307.7 cm².

2. a) We use the property of angles in a circle to solve for angle ACB: an angle inscribed in a circle is half the measure of its intercepted arc.

Given that arc AB has a measure of 78°, we can find angle ACB as follows:

Angle ACB = 1/2 * arc AB

= 1/2 * 78°

= 39°

Therefore, the angle ACB is 39 degrees.

2b.) To solve for the value of x, we use the information that the angle ADB =  (3x - 12)⁴.

Given that angle ADB is (3x - 12)⁴, we can equate it to the measure of the intercepted arc AB, which is 78°:

(3x - 12)⁴ = 78

Solve the equation for x, by taking the fourth root of both sides:

∛∛((3x - 12)⁴) = ∛∛78

Simplify,

3x - 12 = ∛(78)

Isolate x by adding 12 to both sides:

3x - 12 + 12 = ∛(78) + 12

3x = ∛(78) + 12

Finally, divide both sides by 3:

x = (∛(78) + 12) / 3

x = (4.27 +12) / 3

x = 5.42

So, x is 5.42

Therefore,

1) The area of the circle is 154 cm².

2a.) Angle ACB is equal to 102°.

2b.) The value of x is 5.42

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Step-by-step explanation:

The student incorrectly performed a rotation of 90° clockwise.

Answer:

C, the student incorrectly preformed a rotation of 90 degrees clockwise.

Step-by-step explanation:

Answer:

5 Inches

Step-by-step explanation:

Let the side length of the square in inches=y.

Height of the Box = y

Since we are removing the square from both sides

Then the volume of the box,  

\(V = y(22 -2y)(70-2y) \\= 4y(y -11)(y -35)\\V = 4y^3 -184y^2 +1540y\)

We maximize the volume of the box by taking its derivative and solving it for its critical point.

\(V' = 12y^2 -368y +1540\)

When V'=0

\(12y^2 -368y +1540=0\)

Divide all through by 4 and factor

\((3x -77)(x -5) = 0 \\3x-77=0$ or $x-5=0\\x=25.6$ or x=5\)

x cannot be greater than 11. therefore, the value of x=25.6 is extraneous. The side length of the square that should be cut to maximize its volume is 5 inches.

Answer:

no

Step-by-step explanation:

if the y 79 was changed to 49 then yes(in that case y=x^2) but the x 7 y 79 messes the relationship up.

The mathematical function that models Autumn's situation of saving $500 that she keeps at home and does not add to the savings is G(x) = 500 + 0x.

A mathematical function is an equation, expression, rule, or law defining the relationship between the independent variable and the dependent variable.

There are many types of mathematical function, including:

The amount that Autumn saved = $500

The amount that Autumn adds to the savings = $0

Let the number of periods that Autumn saves the above amount = x

G(x) = 500 + 0x

Thus, based on the linear function above, the amount that Autumn saved would remain $500 after many periods.

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