Think of two numbers that multiply to -24, but add to -14.

Answer:

Step-by-step explanation:

Total number of integers from 300 through 780, inclusive:

Number of integers with at least one of digit 1:

The probability is:

If the initial velocity is 75 feet per second, it will take approximately 5.125 seconds for the ball to hit the ground.

The given formula h= -16t²+vt+s represents the height (h) of an object thrown vertically in the air at time (t), with initial velocity (v) and initial height (s). In this case, we are given that the initial height of the softball is 4 feet and the initial velocity is 75 feet per second.

We want to find out how long it will take for the ball to hit the ground, which means we want to find the time (t) when the height (h) is 0.

Substituting the given values into the formula, we get:

0 = -16t² + 75t + 4

This is a quadratic equation in standard form, which we can solve using the quadratic formula:

t = (-b ± √(b² - 4ac)) / 2a

Where a=-16, b=75, and c=4. Substituting these values into the formula, we get:

t = (-75 ± √(75² - 4(-16)(4))) / 2(-16)

t = (-75 ± √(5625 + 256)) / (-32)

t = (-75 ± √(5881)) / (-32)

We can simplify the expression under the square root as follows:

√(5881) = √(49121) = 711 = 77

So we have:

t = (-75 ± 77) / (-32)

Simplifying further, we get two possible solutions:

t = 0.5 seconds or t = 5.125 seconds

Since the softball player hits the ball when it is 4 feet above the ground, we can disregard the solution t=0.5 seconds (which corresponds to when the ball is at its maximum height) and conclude that it will take approximately 5.125 seconds for the ball to hit the ground.

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Answer:9/41

SOH = opposite over hypotenuse

Step-by-step explanation:

Answer:

Mean: 12.9

Mode: 14,15

Median: 14

Step-by-step explanation:

The result of multiplying 5u by the difference between 3v and 4w is the vector -240i + 70j + 10.

In linear algebra, we often use scalars and vectors to perform various operations. Scalars are just ordinary numbers that can be used to multiply or divide vectors. On the other hand, vectors are quantities that have both magnitude and direction.

In this problem, we are given three vectors, u, v, and w, and we are asked to find the result of multiplying 5u by the difference between 3v and 4w.

First, let's calculate 3v - 4w. Since v = 4i - 2j and w = -2j, we can substitute these values to get,

3v - 4w = 3(4i - 2j) - 4(-2j)

= 12i - 6j + 8j

= 12i + 2j

Next, we need to find the scalar product of 5u and 12i + 2j. To find the scalar product of two vectors, we need to multiply the corresponding components and add up the products.

Therefore: 5u(3v - 4w) = 5u(12i + 2j)

= 5(-4i + j)(12i + 2j)

= -20i(12i) + 5i(2j) + 60j(i) - 10j(j)

= -240i + 10j + 60j + 10

= -240i + 70j + 10

So, the result of multiplying 5u by the difference between 3v and 4w is the vector -240i + 70j + 10.

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Factor the x out first:

x(6x^2 - 7x - 5) = 0

Then factor the quadratic expression in the parenthesis:

x(2x + 1)(3x - 5) = 0

x = -1/2, 0, 5/3

12% of the resulting alloy is gold

Here, we want to calculate the percentage of the resulting alloy that is gold

We proceed as follows;

(32% of 6mg) + (2% of 12mg)

That would be;

1.92 + 0.24 = 2.16

What means that of the total (6mg + 12mg) , 2.16 mg is gold

Thus the gold percentage will be;

Answer:

The answer is 7.0666

Step-by-step explanation:

Answer:

that is 72.97 US dollars

Answer:

85

Step-by-step explanation:

if ur adding 5 on that side then you would have to subtract on the other.

The infinite series, \(ln(6)/6 + ln(7)/7 + ln(8)/8 + ln(9)/9 + ln(10)/10 + ... = \int_{1}^{ \infty } \frac{ln(x + 5)}{ (x + 5 )}dx\\ \) is diverges as the integral diverges.

We know that the Integral test : Suppose that f(x) is a continuous, positive and decreasing function on the interval [ k,∞) and that f(n)= a, then

If \( \int_{k}^{ \infty } f(x)dx\) is convergent then the series, \( \sum_{n = 1}^{ \infty } a_{n}\)

If \( \int_{k}^{ \infty } f(x)dx\) is divergent so is \(\sum_{n = 1}^{ \infty } a_{n}\).

We have an integral equals to an infinite series \( \frac{ln(6)}{6} + \frac{ln(7)}{7} + \frac{ln(8)}{8} + \frac{ln(9)}{9} + \frac{ln(10)}{10} + ... = \int_{1}^{ \infty } \frac{ln(x + 5)}{ (x + 5 )}dx \\ \)

\(\int_{1}^{ \infty } \frac{ln(x + 5)}{ (x + 5 )}dx = {\lim_{k-> \infty } \\}\int_{1}^{k} \frac{ln(x + 5)}{ (x + 5 )}dx \)

\(= {\lim_{k-> \infty } \\}[ \frac{ {(ln(x+5))}^{2} }{2} ]_{1}^{k}\\ \)

\( = \infty \)

This implies that the integral diverges, so by integral test the series also diverges.

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Answer:

Step-by-step explanation:

-1

Answer:

x = 65 , y = 64

Step-by-step explanation:

y - 16 and 2y + 4 are same- side interior angles and sum to 180° , that is

y - 16 + 2y + 4 = 180

3y - 12 = 180 ( add 12 to both sides )

3y = 192 ( divide both sides by 3 )

y = 64

then

2y + 4 = 2(64) + 4 = 128 + 4 = 132

the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

2y + 4 is an exterior angle of the triangle , then

x + 67 = 132 ( subtract 67 from both sides )

x = 65

Answer:

-1/19

Step-by-step explanation:

|19-3| =-4

( |___| ) it means the determination of us;

19v-3=-4

19v=-4+3

19v=-1

v=-1/19

Answer: (x +7)^2 +(y +6)^2 = 9

Step-by-step explanation:

The given circle appears to be centered at (-7, -6) and have a radius of 3. The standard form equation of a circle is ...

 (x -h)^2 +(y -k)^2 = r^2 . . . . . . circle of radius r centered at (h, k)

For (h, k) = (-7, -6) and r=3, your circle is ...

 (x -(-7))^2 +(y -(-6))^3 = 3^2

 (x +7)^2 +(y +6)^2 = 9

i hope this helps btw i did not copy n paste l got 100% on this

Step-by-step explanation:

The given line is

2x + 14y = 28 ......i)

Let the line perpendicular to I) be

14x - 2y + k = 0 ......ii)

As line II) passes through point ( - 7 , 8) we get

14 * ( -7) - 2 * 8 + k = 0

- 98 - 16 + k = 0

- 144 + k = 0

k = 144

Hence the required equation is

14x - 2y + 144 = 0

2y = 14x + 144

y = ( 14x + 144) / 2

y = 7x + 72

Hope it will help :)

The value of -5/6 ÷( -1/4) is 3 1/3

A fraction is a part of a whole. it consist of upper part( numerator) and lower part denominator.

In a simple fraction, both numerator and denominator are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.

Solving -5/6 ÷( -1/4)

-5/6 × -4/1

= 20/6

= 10/3

= 3 1/3

therefore the value of the expression is 3 1/3

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Answer:

is this a question?

Step-by-step explanation:

yes it dropped 8°F

Answer:

That high score is nothing, try beating 3,756,396 HEHEHEHAW

Step-by-step explanation:

Answer: I got warned for no reason

I just put " Try beating 15 muhahaha." and got warned like come on

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The answer gonna be D because the median of plot B is about 27 but in A it is 19

Answer:

D

Step-by-step explanation:

answer is -7

because

77/(-7)=-11

The price the widgets should be sold for, to the nearest cent, for the company to make the maximum profit is 62.13

y = -14x² + 1035x - 10266

-14x² + 1035x - 10266 = 0

x = -b ± √b² - 4ac / 2a

= -1035 ± √1035² -4(-14)(-10266) / 2(-14)

= -1035 ± √1071225 - 574896 / -28

= -1035 ± √496329 / -28

x = 1035 / 28 ± √496329 / 28

x = 11.80 or 62.13

The maximum value of x is 62.13

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It should be noted that the number of sample size based on the information will be 300.

In order to calculate the sample size, we can use the following formula:

n = z² * p * (1-p) / E²

n = 1.96² * 0.5 * (1-0.5) / 0.05²

= 300

A questionnaire is a method of gathering data that makes use of written questions to be answered by the respondents. It is a popular method of data collection because it is relatively easy to administer and can be used to collect a wide variety of information.

In the first column, the population is the entire National Capital Region (NCR). The sample is the city of Manila. In the second column, the population is all STEM students. The sample is all academic track students. In the third column, the population is all the tablespoons of sugar in the jar. The sample is one tablespoon of sugar. In the fourth column, the population is all the vowels in the word "juice". The sample is the vowel "i".

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Hello!

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If the scale factor is 1 : 12, then we must take 5.4 and multiply it times 12:

5.4 : (5.4*12)

5.4 : 64.8

So the actual width is 64.8 yd. Hope it helps you!

~SparklingFlower

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The coordinates of each points are:

A = (-0.5, -5)

B = (0.8, -1.8)

C = (-2.6, -2.2)

D = (-1.5, -8.9)

E = (2.5, -6.5)

F = (-1.5, 3.1)

G = (-2.4, 4.1)

H = (1.5, 3)

I = (2.7, 1.5)

J = (-1.5, 0)

K = (-6.5, 0)

We have,

The coordinates of each point are in an ordered form.

i.e

(x, y)

x is the x-axis value.

y is the y-axis value.

Thus,

A = (-0.5, -5)

B = (0.8, -1.8)

C = (-2.6, -2.2)

D = (-1.5, -8.9)

E = (2.5, -6.5)

F = (-1.5, 3.1)

G = (-2.4, 4.1)

H = (1.5, 3)

I = (2.7, 1.5)

J = (-1.5, 0)

K = (-6.5, 0)

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Answer: t=6 hours

Step-by-step explanation:

For this problem, we are given the values for r and d. We can directly plug those values in and solve for t.

450=75t             [divide both sides by 75]

t=6 hours

Now, we know that there are t=6 hours.

Answer:

450=75T

Divide both sides by the 75

T=6h

The total percentage of all the athletes who enjoy cycling is A = 67 %

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %

The difference between an exact value and an approximation to it is the approximation error in a data value. Either an absolute error or a relative error might be used to describe this error.

Percentage change is the difference between the measured value and the true value , as a percentage of the true value

Percentage change =( (| Measured Value - True Value |) / True Value ) x 100

Given data ,

Let the total percentage of all the athletes who enjoy cycling be A

Now , the percentage of people who does not like to run = 65 %

And , the percentage of people who enjoy cycling = 60 % ( percentage of people who does not like to run )

And , the percentage of people who enjoy running = 35 %

So , the percentage of people who enjoy cycling = 80 % ( percentage of people who enjoy running )

Now , the total percentage of all the athletes who enjoy cycling A = 60 % ( percentage of people who does not like to run ) + 80 % ( percentage of people who enjoy running )

On simplifying , we get

The total percentage of all the athletes who enjoy cycling A = 60% ( 65 % ) + 80 % ( 35 % )

The total percentage of all the athletes who enjoy cycling is

A = ( 60/100 ) ( 65/100 ) + ( 80/100 ) ( 35/100 )

A = 0.39 + 0.28

A = 0.67

Hence , the percentage is 67 %

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The measure of side KL from triangle KLM is 22 units.

Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.

Given that, triangle HIJ is similar to triangle KLM.

From the similar triangles,

JH/MK =HI/KL

31/13.9 =49/KL

31KL=49×13.9

31KL=681.1

KL=681.1/31

KL=21.97

KL≈22

Therefore, the measure of side KL is 22 units.

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The input that would give an output value of -1/3 is 19

A linear equation is an equation that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient

The table of values that completes the question is added as an attachment

A system of linear equations is a collection of at least two linear equations.

In this case, the linear equation is given as

y = -1/3x + 7

From the complete question, the output value is given as:

y = 2/3

Substitute y = 2/3 in y = -1/3x + 7

2/3 = -1/3 * x + 7

Subtract 7 from both sides of the equation

-1/3 * x = 2/3 - 7

Take the LCM

-1/3 * x = (2 - 7 * 3)/3

Evaluate the product

-1/3 * x = (2 - 21)/3

Evaluate the difference

-1/3 * x = -19/3

Multiply both sides by -3

x = 19

Hence, the input that would give an output value of -1/3 is 19

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Answer:

answer is 19

Step-by-step explanation: