Write the point-slope form of an equation of the line through the points (-2, -3) and (-7, 4).
71

Answer:

Step-by-step explanation:

183,883,72

Answer:

18388372

Step-by-step explanation:

1 )Use the algorithm method.

      3 2 1 7

×              5      7      1      6

        1      1       1      4                      

        1      9      3      0     2            

        3 2  1  7 0

  2 1  1     4  

  2 2 5    1       9      0     0

1  1     3

1  6 0 8   5       0      0     0

      1  1    1

1  8 3 8   8       3       7     2

2 )Therefore, 3217 × 5716 = 18388372.

18388372

Answer:

D

Step-by-step explanation:

The range is the difference between the largest and smallest values in the data set.

Here the largest = 25 and the smallest = 6, thus

range = 25 - 6 = 19 → D

the equation of the line tangent to the curve y at x = 3 is y = 36x - 102.  The slope of the tangent line to the curve y at x = 3 is 36.

The equation of the line tangent to the curve y at x = 3 can be written using the point-slope form of a line, which is:

y - y1 = m(x - x1)

where m is the slope of the line, (x1, y1) is a point on the line, and m and (x1, y1) are known. In this case, m = 36 and (x1, y1) = (3, y). Substituting these values into the equation above, we get:

y - y = 36(x - 3)

y = 36x - 102

So the equation of the line tangent to the curve y at x = 3 is

y = 36x - 102.

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Answer:

To the nearest dollar, Savannah would have $8,007 more in her account than Lincoln.

Step-by-step explanation:

To find out how much more money Savannah would have in her account than Lincoln after 20 years, we need to calculate the future value of both investments using the appropriate interest rate and compounding period.

For Lincoln's investment:

Future value = $6,500 * (1 + (3^3/4/100) / 4)^(4*20) = $6,500 * (1 + 0.046875)^80 = $6,500 * 2.611 = $16,917.50

For Savannah's investment:

Future value = $6,500 * e^(0.041875*20) = $6,500 * 3.843 = $24,924.50

To find the difference between the two investments, we can subtract Lincoln's future value from Savannah's:

$24,924.50 - $16,917.50 = $8,007

To the nearest dollar, Savannah would have $8,007 more in her account than Lincoln.

Answer: 6w - x + 3y

Step-by-step explanation:

Answer: p = 1.5 and q = 9

Step-by-step explanation:

Expand the right side then compare the coefficients of like terms on both sides, that is

4(x + p)² - q ← expand (x + p)² using FOIL

= 4(x² + 2px + p²) - q ← distribute parenthesis

= 4x² + 8px + 4p² - q

Comparing coefficients of like terms on both sides

8p = 12 ( coefficients of x- terms ) ← divide both sides by 8

p = 1.5

4p² - q = 0 ( constant terms ), that is

4(1.5)² - q = 0

9 - q = 0 ( subtract 9 from both sides )

- q = - 9 ( multiply both sides by - 1 )

q = 9

Answer:

1unit scale on map is equal to 100.16 km in real life

Step-by-step explanation:

since in map 12.cm =1262km in real life

1cm=(1262/12.6) km

therefore it gives us 100.158km which is approximately 100.16 km .

Answer:

68% of the data points lie between 10 and 18.

Step-by-step explanation:

one standard deviation to left of mean = 14 - 4 =10

one standard deviation to right of mean = 14 + 4 = 18

68% of data is in this region.

so the answer is 68% of the data points lie between 10 and 18.

The probability of getting someone who tested positive, given that he or she did not have the disease is 0.985

Probability is what has the potential to happen. This area of math examines how random events happen. A value between 0 and 1 is used to express it. In order to anticipate the possibility of events, probability has been introduced to mathematics. The degree of likelihood that something will happen can be used to define probability. This fundamental theory of probability, which is also applied to the probability distribution, can be used to estimate the likelihood of the results of a random experiment. We must first determine the total number of alternatives in order to determine the likelihood that a specific event will occur.

Given that : He or she did not have the disease. The individual actually had the disease No positive 9 , negative 133 Yes Positive 140 ,Negative 18 .

                      Yes              No

Positive :          140            9

negative :         18              133

P = \(\frac{Someone get positive }{he not had the disease}\)

= \(\frac{140}{142}\)

=0.985

The probability of getting someone who tested positive, given that he or she did not have the disease is 0.985

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There are 14 Geometry problems in Vardan's homework assignment.

The number of geometry problems in Vardan's homework assignment, we need to calculate 58 1/3 percent of the total number of problems.

First, let's convert 58 1/3 percent to a decimal by dividing it by 100:

58 1/3 percent = 58.33/100 = 0.5833

Next, we multiply the decimal by the total number of problems:

Number of geometry problems = 0.5833 * 24

To calculate this, we can multiply 0.5833 by 24:

Number of geometry problems = 0.5833 * 24 = 14

Therefore, there are 14 geometry problems in Vardan's homework assignment.

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Applying the angles of intersecting secants theorem, the measure of arc XY is: 32°.

According to the angles of intersecting secants theorem, m∠XZY = 1/2(arc VW - arc XY).

Plug in the values:

39 = 1/2(110 - arc XY)

2(39) = 110 - arc XY

78 = 110 - arc XY

78 - 110 = - arc XY

-32 = - arc XY

Arc XY = 32°

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Using the coordinates of the vertices of a polygon (-3, 1), (-3, 3), (-1, 5), (2, 4), and (2, 1) the perimeter of the polygon is 16.0 units

The perimeter is calculated by summing the sides

The length of line in an ordered pair is calculated using the formula

d = √{(x₂ - x₁)² + (y₂ - y₁)²}

where

d = distance between the points

x₂ and x₁ = points in x coordinates

y₂ and y₁ = points in y coordinates

(-3, 1) and (-3, 3) =√{(-3 - -3)² + (3 - 1)²} = 2

(-3, 3) and (-1, 5) = √{(-1 - -3)² + (5 - 3)²} = 2√2

(-1, 5) and (2, 4) = √{(2 - -1)² + (4 - 5)²} = √10

(2, 4) and (2, 1) = √{(2 - 2)² + (1 - 4)²} = 3

(2, 1) and (-3, 1) = √{(-3 - 2)² + (1 - 1)²} = 5

The perimeter = 2 + 2√2 + √10 + 3 + 5

The perimeter = 15.9907

The perimeter = 16.0 units

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Answer:

EZ! 362 bobux

GO TO FLIMFLAM.SHOP

Answer:

65,536 kg

Step-by-step explanation:

Answer:

The 2nd option

Step-by-step explanation:

You can substitute values to replace X and if it alines with the graph then you know that is the correct answer choice

Answer:

D) 312 cubic yards

Step-by-step explanation:

large box = 9x8x4=288

small box = 2x3x4=24

288+24=312

Answer:

\(t_1\approx2.18\)

\(t_2\approx0.57\)

Step-by-step explanation:

\(h=7+44t-16t^2\)

\(27=7+44t-16t^2\)

\(0=-20+44t-16t^2\)

\(0=-16t^2+44t-20\)

\(t=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\)

\(t=\frac{-44\pm\sqrt{44^2-4(-16)(-20)}}{2(-16)}\)

\(t=\frac{-44\pm\sqrt{1936-1280}}{-32}\)

\(t=\frac{-44\pm\sqrt{656}}{-32}\)

\(t=\frac{-44\pm4\sqrt{41}}{-32}\)

\(t=\frac{11}{8}\pm\frac{\sqrt{41}}{8}\)

\(t_1\approx2.18\)

\(t_2\approx0.57\)

Answer:

19

Step-by-step explanation:

6.802 = 7

6.1844 = 6

6.318 = 6

7 + 6 + 6 = 19

I hope this helps!

Answer:

Approximately 25 pages, if i'm not mistaken

Because every 20 minutes, she reads 10 pages. So if she reads for 40 minutes (which is 20 minutes + 20 minutes), that's equal to 20 pages.

Step-by-step explanation:

Explanation:

There are 10 letters listed.

We have 10 choices for the first slot, then 9 for the next, and so on until reaching 1 choice for the tenth slot. Multiply that countdown of values to get the final answer.

10*9*8*7*6*5*4*3*2*1 = 3628800

For more information, search out "factorials". A related idea is "permutations".

After simplifying the given equation we get x as 150.

What is Algebraic expression ?

Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.

here, it is given that :

4(x+15)=640 and we have to solve for x.

first, open bracket to multiply 4 :

4(x+15)=640

4x + 4.15 = 640

4x + 60 = 640

Now, subtract 60 both side :

4x + 60 - 60 = 640 - 60

4x = 600

Now, divide "4" both side to get value of x :

x = 600/4

x = 150

Therefore, after simplifying the given equation we get x as 150.

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Answer:

B IS YOUR ANSWER MARK BRAINLEIST PLZ

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

hope it helps

Answer:

Perimeter = 10x + 30

(Anyone can correct me if I'm wrong)

Step-by-step explanation:

Before solving the problem, we can make the following statements:

Perimeter = 2l + 2w

l = 2x + 7

w = 3x + 8

Using all of that, we can substitute for perimeter,

Perimeter = 2(2x + 7) + 2(3x + 8)

Perimeter = 4x + 14 + 6x + 16

Perimeter = 10x + 30

Answer:

What is the gravitational force acting on a 70.0 kg object standing on the Earth’s surface?

Step-by-step explanation:

The gravitational force acting on a 70.0 kg object standing on the Earth’s surface can be calculated using the formula:

F = G * (m1 * m2) / r^2

Where:

F = gravitational force

G = gravitational constant (6.6743 x 10^-11 N*m^2/kg^2)

m1 = mass of the first object (in this case, the mass of the Earth)

m2 = mass of the second object (in this case, the mass of the object, 70.0 kg)

r = distance between the centers of the two objects (in this case, the radius of the Earth, which is approximately 6,371 km)

Using the values above, we can calculate the gravitational force as follows:

F = (6.6743 x 10^-11 N*m^2/kg^2) * (5.97 x 10^24 kg * 70.0 kg) / (6,371,000 m)^2

F = 686.6 N

Therefore, the gravitational force acting on a 70.0 kg object standing on the Earth’s surface is approximately 686.6 N.

Step-by-step explanation:

find the y intercept then graph using your slope

Answer: 1

Step-by-step explanation:

1 is not a reasonable answer to this situation because 1 wouldnt value more than itself, i would be equal.

Answer:

The answer is 1, just trust me, Because 1>1 is not true, if this is true 1\(\geq\)1 but not this 1>1

Step-by-step explanation:

Answer:

Step-by-step explanation:

To show that the expression \(\ln(\sqrt{2} + 1) - \ln\left(\frac{1}{\sqrt{2}}\right)\) is equal to \(-\ln\left(1 - \frac{1}{\sqrt{2}}\right)\), we can simplify both sides of the equation using the properties of logarithms. Here are the steps:

Step 1: Simplify the expression on the left side:

\(\ln(\sqrt{2} + 1) - \ln\left(\frac{1}{\sqrt{2}}\right)\)

Step 2: Apply the logarithmic property \(\ln(a) - \ln(b) = \ln\left(\frac{a}{b}\right)\) to combine the logarithms:

\(\ln\left(\frac{\sqrt{2} + 1}{\frac{1}{\sqrt{2}}}\right)\)

Step 3: Simplify the expression within the logarithm:

\(\ln\left(\frac{(\sqrt{2} + 1)}{\left(\frac{1}{\sqrt{2}}\right)}\right)\)

Step 4: Simplify the denominator by multiplying by the reciprocal:

\(\ln\left(\frac{(\sqrt{2} + 1)}{\left(\frac{1}{\sqrt{2}}\right)} \cdot \sqrt{2}\right)\)

\(\ln\left(\frac{(\sqrt{2} + 1) \cdot \sqrt{2}}{\left(\frac{1}{\sqrt{2}}\right) \cdot \sqrt{2}}\right)\)

\(\ln\left(\frac{(\sqrt{2} + 1) \cdot \sqrt{2}}{1}\right)\)

Step 5: Simplify the numerator:

\(\ln\left(\frac{(\sqrt{2} + 1) \cdot \sqrt{2}}{1}\right)\)

\(\ln\left(\sqrt{2}(\sqrt{2} + 1)\right)\)

\(\ln\left(2 + \sqrt{2}\right)\)

Now, let's simplify the right side of the equation:

Step 1: Simplify the expression on the right side:

\(-\ln\left(1 - \frac{1}{\sqrt{2}}\right)\)

Step 2: Simplify the expression within the logarithm:

\(-\ln\left(\frac{\sqrt{2} - 1}{\sqrt{2}}\right)\)

Step 3: Apply the logarithmic property \(\ln\left(\frac{a}{b}\right) = -\ln\left(\frac{b}{a}\right)\) to switch the numerator and denominator:

\(-\ln\left(\frac{\sqrt{2}}{\sqrt{2} - 1}\right)\)

Step 4: Simplify the expression:

\(-\ln\left(\frac{\sqrt{2}}{\sqrt{2} - 1}\right)\)

\(-\ln\left(\frac{\sqrt{2}(\sqrt{2} + 1)}{1}\right)\)

\(-\ln\left(2 + \sqrt{2}\right)\)

As we can see, the expression \(\ln(\sqrt{2} + 1) - \ln\left(\frac{1}{\sqrt{2}}\right)\) simplifies to \(\ln(2 + \sqrt{2})\), which is equal to \(-\ln\left(1 - \frac{1}{\sqrt{2}}\right)\).