A baseball player swings at the ball 56 times over a season and hits 16 times.
What is the ratio of hits to misses?

If the variables are not quantitative we cannot do the arithmetic required in the formulas for r.

Quantitative order:

Therefore, if the variables are not quantitative we cannot do the arithmetic required in the formulas for r.

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Answer:3

Step-by-step explanation:

The scale factor of the enlargement is 3

Answer:

6

Step-by-step explanation:

So since we are handling decimals we need to get rid of them in order to divide.

Now the numbers should be 96 and 16.

16 * 6 = 96 therefore 6 is the answer.

The required solution of 9.6 divided by 1.6 is 6.

Given that,
To determine 9.6 divided by 1.6

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
= 9.6 / 1.6
= 96 * 10 / 16 / 10
Factoring 36 in the numerator as 96 = 16 * 6
= 16 * 6 * 10 / 16 * 10
Now,
factors that are common between numerator and denominator will be eliminated,

= 6 / 1
= 6

Thus, the required solution of 9.6 divided by 1.6 is 6.

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Answer:

d

Step-by-step explanation:

Answer:

5 Units

Step-by-step expla

Answer: b

Step-by-step explanation:

Answer:

-x^2 - 3

Step-by-step explanation:

SO we know f(x); x^2

when you place a (-), it flips teh image across the x-axis.

Finally, we see that the line is at (0,-3). To get it there, we need to go down 3, which gives us the -3 in the equation.

So we have -x^2-3

(rember the - sign is to flip it across the x-axis, and the -3 is to move the line 3 down the y-axis)        

I checked my answer on a calculator btw lol.

Answer:

25 boxes.

Step-by-step explanation:

Because we know that 5 boxes of pasta cost $13 and we want to find the total number of boxes that can be bought with $65, we can set up a proportion:

\(\frac{5_{boxes} }{13.00}=\frac{x_{boxes} }{65}\\ 13x=325\\ x=25\)

The net signed area between f(x) = 2x - 6 and the x-axis over the interval [-6, 6] is -72.

To find the net signed area between the function f(x) = 2x - 6 and the x-axis over the interval [-6, 6], we need to calculate the definite integral of f(x) from -6 to 6.

The definite integral of a function represents the signed area between the function and the x-axis over a given interval. Since f(x) is a linear function, the area between the function and the x-axis will be in the form of a trapezoid.

The definite integral of f(x) from -6 to 6 can be calculated as follows:

∫[-6,6] (2x - 6) dx

To evaluate this integral, we can apply the power rule of integration:

= [x^2 - 6x] evaluated from -6 to 6

Substituting the upper and lower limits:

= (6^2 - 6(6)) - (-6^2 - 6(-6))

Simplifying further:

= (36 - 36) - (36 + 36)

= 0 - 72

= -72

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The coordinates of point E is (-2, -1.5)

How to determine the coordinates of point E?

see in the file attached below

The given parameters are

C = (1, 6)

D = (-3, -4)

The ratio 3/4 can be represented as:

m : n = 3 : 1

So, the coordinate of point E is

E = 1/(m + n) * (mx2 + nx1, my2 + ny1)

So, we have:

E = 1/(3 + 1) * (3 * -3 + 1 * 1, 3 * -4 + 1 * 6)

Evaluate

E = 1/(4) * (-8, -6)

This gives

E = (-2, -1.5)

Hence, the coordinates of point E is (-2, -1.5 )

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The distance from the epicenter of the march 1964 earthquake to crescent city is 2600 kilometers and It took 400 seconds for the first p-wave to reach crescent city

In a seismic event like an earthquake, seismic waves propagate through the Earth at different speeds. The first type of seismic wave to reach a particular location is the primary wave, or P-wave. P-waves are compressional waves that travel faster than other seismic waves, such as S-waves or surface waves.

To calculate the time it took for the P-wave to reach Crescent City, we need to know the speed at which P-waves travel. On average, P-waves travel at a speed of about 6-7 kilometers per second in the Earth's crust. However, this speed can vary depending on the specific properties of the Earth's layers.

Using an average speed of 6.5 kilometers per second, we can calculate the time it took for the P-wave to travel a distance of 2600 kilometers:

Time = Distance / Speed = 2600 km / 6.5 km/s ≈ 400 seconds.

Therefore, it took approximately 400 seconds, or 6 minutes and 40 seconds, for the P-wave to reach Crescent City from the epicenter of the March 1964 earthquake.

It is important to note that the calculated time is an estimation based on average values, and the actual time may vary depending on the specific geological conditions along the propagation path of the P-wave.

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Supplementary angles add up to 180°

-> The measure of an angle that is supplementary to a 71° angle is 180° - 71° = 129°

Answer:

X =20

X+24=2(x+22)

X+24=2x+44

X=44-24

X=20

The new diet was not effective, the researchers may need to continue searching for other solutions.

In the trial to determine whether a new diet reduces cholesterol, a group of twenty volunteers with high cholesterol were selected. The trial likely involved splitting the volunteers randomly into two groups - a treatment group and a control group.

The treatment group would be given the new diet to follow, while the control group would continue with their normal diet. The participants' cholesterol levels would be measured at the beginning of the trial, and then again at regular intervals throughout the trial to track any changes.

After the trial has ended, the researchers would analyze the results to see if there was a significant difference in cholesterol levels between the treatment and control groups. If the new diet was effective in reducing cholesterol, the researchers may recommend it as a potential treatment option for people with high cholesterol. However, if the new diet was not effective, the researchers may need to continue searching for other solutions.

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a. The equation of the tangent plane at the point (8, 5, 9) is 32x + 32y + 8z = 312.

b. The equation of the normal line at the point (8, 5, 9) is

x(t) = 8 + 32t,

y(t) = 5 + 32t,

z(t) = 9 + 8t,

To find the equations for the tangent plane and the normal line at the point (8, 5, 9) on the surface defined by the equation 2(x − 7)²(y − 3)²(z − 7)² = 10, we need to first calculate the gradient vector at that point.

The gradient vector (∇f) of a surface given by the equation f(x, y, z) = 0 represents the direction of the steepest ascent at any point on the surface. In this case, the surface is defined by the equation 2(x − 7)²(y − 3)²(z − 7)² = 10.

(a) The equation of the tangent plane at the point (8, 5, 9):

To find the equation of the tangent plane, we use the formula:

f_x(x0, y0, z0)(x - x0) + f_y(x0, y0, z0)(y - y0) + f_z(x0, y0, z0)(z - z0) = 0,

where f_x, f_y, and f_z are the partial derivatives of the surface equation with respect to x, y, and z, respectively.

Taking the partial derivatives, we have:

f_x(x, y, z) = 4(x - 7)(y - 3)²(z - 7)²,

f_y(x, y, z) = 4(x - 7)²(y - 3)(z - 7)²,

f_z(x, y, z) = 4(x - 7)²(y - 3)²(z - 7).

Substituting the point (8, 5, 9) into the partial derivatives, we get:

f_x(8, 5, 9) = 4(8 - 7)(5 - 3)²(9 - 7)² = 32,

f_y(8, 5, 9) = 4(8 - 7)²(5 - 3)(9 - 7)² = 32,

f_z(8, 5, 9) = 4(8 - 7)²(5 - 3)²(9 - 7) = 8.

Therefore, the equation of the tangent plane at the point (8, 5, 9) is:

32(x - 8) + 32(y - 5) + 8(z - 9) = 0,

which simplifies to:

32x + 32y + 8z = 312.

(b) The equation of the normal line:

To find the equation of the normal line, we use the formula:

(x - x0)/f_x(x0, y0, z0) = (y - y0)/f_y(x0, y0, z0) = (z - z0)/f_z(x0, y0, z0).

Substituting the point (8, 5, 9) into the partial derivatives, we get:

(x - 8)/32 = (y - 5)/32 = (z - 9)/8.

Therefore, the equation of the normal line at the point (8, 5, 9) is:

(x - 8)/32 = (y - 5)/32 = (z - 9)/8.

This represents a parametric equation of the form:

x(t) = 8 + 32t,

y(t) = 5 + 32t,

z(t) = 9 + 8t,

where t is a parameter representing points along the normal line.

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Answer: x<-1

Step-by-step explanation:

The answer is A!

Answer:

See below.

Step-by-step explanation:

Solving the inequality :-

Graph A shows the solution to the inequality correctly

Based on the analysis, the east edge of the basketball court could be located on the line given by either −y − 5x = 100, y + 5x = 100, or −5x − y = 50, as these lines do not intersect with the west edge.

To determine on which line the east edge of the basketball court could be located, we need to find a line that does not intersect with the west edge represented by the equation y = 5x + 2.

The slope-intercept form of a line is given by y = mx + b, where m is the slope of the line and b is the y-intercept.

Comparing the equation y = 5x + 2 with the given options, we can observe that the slope of the west edge is 5.

Now let's analyze the options:

Option 1: −y − 5x = 100

By rearranging the equation to slope-intercept form, we get y = -5x - 100. The slope of this line is -5, which is not equal to the slope of the west edge (5).

Therefore, this line could be the east edge of the basketball court since it does not intersect with the west edge.

Option 2: y + 5x = 100

Rearranging the equation to slope-intercept form, we get y = -5x + 100. The slope of this line is -5, which is not equal to the slope of the west edge (5).

Thus, this line could be the east edge of the basketball court since it does not intersect with the west edge.

Option 3: −5x − y = 50

Rearranging the equation to slope-intercept form, we get y = -5x - 50. The slope of this line is -5, which is not equal to the slope of the west edge (5).

Hence, this line could be the east edge of the basketball court since it does not intersect with the west edge.

Option 4: 5x − y = 50

By rearranging the equation to slope-intercept form, we get y = 5x - 50. The slope of this line is 5, which is equal to the slope of the west edge (5).

Therefore, this line cannot be the east edge of the basketball court as it intersects with the west edge.

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Answer:

x > -4

Step-by-step explanation:

- 16x < 64

Divide by -16 on both sides. (Remember you always do the opposite on these type of questions!)

x > -4

(When dividing or multiplying by a negative the inequality sign flips!)

Hope this helps and have a good day!

Answer:

27

Step-by-step explanation:

a+b=7; a-b=3

Add the two equations together

a+b=7

a-b=3

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

2a + 0b = 10

2a = 10

Divide by 2

2a/2 = 10/2

a = 5

a+b = 7

5+b = 7

b = 7-5

b = 2

3^a / 3^b = 3^(a-b) = 3^(5-2) = 3^3 = 27

The factor that provides the basis for the grading of newly diagnosed malignant tumours is degree of differentiation.

The level of differentiation impacts an individual's capacity to control their emotions, thoughts, individuality, and connections to others. The degree of any differential equation can be obtained when it is expressed as a polynomial; otherwise, the degree cannot be defined.

The mechanisms by which immature cells develop into mature cells with particular roles are described in biology. This indicates the degree to which tumour tissue resembles the healthy tissue from which it originated in the context of cancer. Compared to poorly or undifferentiated cancer cells, well-differentiated cancer cells resemble normal cells more and grow and spread more slowly. Tumour grading systems, which vary for each form of cancer, use differentiation.

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Answer:

\(\\\sf7x^3 - 2x^2 - 5\)

Step-by-step explanation:

\(\\\sf(6x^3 + 3x^2 - 2) + (x^3 - 5x^2 - 3)\)

Remove parenthesis.

6x^3 + 3x^2 - 2 + x^3 - 5x^2 - 3

Rearrange:

6x^3 + x^3 + 3x^2 - 5x^2 - 2 - 3

Combine like terms to get:

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

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Hope this helps! :)

Answer:

7x³ - 2x² - 5

Step-by-step explanation:

(6x³ + 3x² - 2) + (x³ - 5x² - 3)

Remove the round brackets.

= 6x³ + 3x² - 2 + x³ - 5x² - 3

Put like terms together.

= 6x³ + x³ + 3x² - 5x² - 2 - 3

Do the operations.

= 7x³ - 2x² - 5

____________

hope this helps!

Answer:

6√2.

Step-by-step explanation:

Triangles CDE and DBE are similar.

Therefore:

a / 18 = 4 / a

a^2 = 4*18

a^2 = 72

a^2 = 36*2

a = √36*√2

a = 6√2.

Step-by-step explanation:

That's it bro hope it helps you

Answer:

picture it to pixilated

Step-by-step explanation:

The x-intercept and y-intercept of the equation will be (-1, 0) and (0, 2). The graph is given below.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

x/a + y/b = 1

Where 'a' is the x-intercept of the line and ‘b’ is the y-intercept of the line.

The linear equation is given below.

y = 2x + 2

Convert the equation into intercept form, then we have

y = 2x + 2

y - 2x = 2

y / 2 - x / 1 = 1

The x-capture and y-block of the situation will be (- 1, 0) and (0, 2). The chart is given beneath.

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Answer:

Step-by-step explanation:

According to the table there are ordered pairs:

Find the slope using two points:

Use one point to complete the equation:

So the slope is 1/2 and the y-intercept is (0, - 4)

Verify the points (-2, -5), (- 5, -2), (1, 10):

Now, correct answer choices are:

Answer:

78 minutes

Step-by-step explanation:

72/12=6

6*13=78

Price of Stock A at 12 : 00 A.M. is :

A = 14.67 + 0.08×3

A =  $14.91

Price of Stock B at 12 : 00 A.M. is :

B = $15.17

Let, after x hours price are same :

\(14.91 + 0.08x = 15.17 -0.15x\\\\0.23x = 15.17-14.91\\\\0.23x =0.26\\\\x = 1.13\ hours\)

At, 1 : 13 P.M both stocks have same prices.

Hence, this is the required solution.

Answer:

To calculate the simple interest for a principal amount (P) of Rs. 15,000, for a duration of 4 years, at an interest rate (r) of 5%, we can use the formula:

Simple Interest = (P * r * n) / 100

where:

P = Rs. 15,000 (Principal amount)

r = 5% (Rate of interest)

n = 4 years (Duration)

Plugging in the values, we get:

Simple Interest = (15,000 * 5 * 4) / 100

= 3,000

Therefore, the simple interest for a principal amount of Rs. 15,000, for a duration of 4 years, at an interest rate of 5%, is Rs. 3,000.

Step-by-step explanation:

Answer:

$3,000.00

Step-by-step explanation:

I = prt

I = 15000(.05)(4)

I = 3,000

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