Given below are descriptions of two lines.
Line 1: Goes through (1,1) and (-2,7)
Line 2: Goes through (-1,4) and (1,0)
The slope of Line 1 is m =
|
The slope of Line 2 is m =

9514 1404 393

Answer:

  400%

Step-by-step explanation:

Suppose sales in 1954 were 500. Then 80% of that amount is 400. A drop of 400 puts sales in 1955 at 500 -400 = 100.

The increase back to 500 in 1956 is an increase of 400 from a base of 100. As a percentage increase, that is ...

  400/100 × 100% = 400% . . . . increase from 1955 to 1956

The system of equations has one solution.

To check this, we can graph the two equations of the system:

y = (-1/3)x + 7

y = -2x³ + 5x² + x - 2

On the same coordinate axis, and check how many times do the graphs intercept.

The graph can be seen in the image at the end, there you can see that there is only one intecept point. Thus, the system of equations has only one solution.

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Hey there! I'm happy to help!

We have a 5x is one equation and a -5x in another equation. We can combine the two equations to cancel out the x and then solve! This is called solving by elimination.

5x-4y=6

+

-5x+4y=-10

0= -4

Since we lost our x and y while solving, there cannot be any solution.

Therefore, the answer is no solution.

Have a wonderful day!

Answer:

165 minutes

Step-by-step explanation:

To solve for the number of minutes that Joaquin played for, we can use this expression:

(let 'a' represent how much time passed from the time Joaquin started playing basketball until the time he arrived at home)

Subtracting 1:10 from each side:

1:10 - 1:10 cancels out to 0, while 3:35 - 1:10 is equal to 2:25.

So, the expression is now:

So, 2 hours and 25 minutes passed.

If we know that 1 hour is equivalent to 60 minutes, we can use this expression to solve for however many minutes are in 2 hours:

Now we need to add on the number of minutes and the time it took him to get home:

Therefore, 165 minutes passed from the time Joaquin started playing basketball until the time he arrived at home.

Answer:

75%

Step-by-step explanation:

3/12 =1/4

so 1/4 of 100% = 75%

i think 75%

12=100%

3/12=1/4

1/4 of 100%=75%

Answer:

x = 31°

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180° , that is

x + 54° + 95° = 180°

x + 149° = 180° ( subtract 149° from both sides )

x = 31°

Answer:

4 cm.

Step-by-step explanation:

Area = pi r^2, so:

pi r^2 = 4 / pi

(pi)^2 r^2 = 4

r^2 = 4/ (pi^2)

r = 2/pi

Therefore, the circumference

= 2 pi r

= 2* pi * 2/pi

= 4

The measure of the central angle m∠VWU is 69 degrees

Central angle is the angle formed by two arms and having the vertex at the centre of a circle.

The diameter of a circle runs from the centre of a circle.

The diameter SU and RT intersect each other at point Q.

Therefore,

m∠VWS = m∠TWU (Vertically opposite angles)

m∠VWU = m∠SWT (Vertically opposite angles)

Hence,

m∠TWU = 111 degrees.

Therefore,

m∠VWU = 360 - 111 - 111  /2

m∠VWU = 360 - 222 / 2

m∠VWU = 138 / 2

m∠VWU = 69 degrees

Therefore, the measure of the central angle m∠VWU is 69 degrees

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An equation which represents a line which is perpendicular to the line y= –1/8x + 8 is: 4. y - 8x = 4.

Mathematically, the standard form of the equation of a straight line is given by this mathematical expression;

y = mx + c

Where:

In Mathematics, the condition for perpendicularity of two lines is given by:

m₁ × m₂ = -1

Next, we would rewrite the given equation representing a line in standard form:

x + 8y = 8  

y = -x/8 + 1

Therefore, slope (m) = -1/8 (Not perpendicular).

x - 8y = 8

y = x/8 - 8

Therefore, slope (m) = 1/8 (Not perpendicular).

8x + y = 5

y = -8x + 5

Therefore, slope (m) = -8 (Not perpendicular).

y - 8x = 4

y = 8x + 4

Therefore, slope (m) = 8 (perpendicular).

Check:

m₁ × m₂ = -1

-1/8 × 8 = -1

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Answer:

The 99​% confidence interval estimate of the mean body temperature of all healthy humans is between 98.53ºF and 98.87 ºF. 98.6ºF is part of the interval, so the sample suggests that the use of 98.6ºF as the mean body​ temperature is correct.

Step-by-step explanation:

We have the standard deviation for the sample, so we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 104 - 1 = 103

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 103 degrees of freedom(y-axis) and a confidence level of \(1 - \frac{1 - 0.99}{2} = 0.995\). So we have T = 2.624

The margin of error is:

\(M = T\frac{s}{\sqrt{n}} = 2.624\frac{0.66}{\sqrt{104}} = 0.17\)

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 98.7 - 0.17 = 98.53ºF.

The upper end of the interval is the sample mean added to M. So it is 98.7 + 0.17 = 98.87 ºF.

The 99​% confidence interval estimate of the mean body temperature of all healthy humans is between 98.53ºF and 98.87 ºF. 98.6ºF is part of the interval, so the sample suggests that the use of 98.6ºF as the mean body​ temperature is correct.

Answer:

! is 3rd one second is 4th one last one is 1 and sorry i couldnt see the other ones

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

5-2=3 ¯\(◉‿◉)/¯

hope it may help you

mark as brainlist please!!

¯

Answer:

To find the height of the building, we can use the following formula:

height = y(d-x)/x

Substituting the given values, we get:

height = 6(6-3)/3

height = 6(3)/3

height = 6 meters

Therefore, the height of the building is 6 meters.

Answer:

this? hope it helps ........

Answer:

The answer is area=32pi-64 and the perimeter is 8pi

Step-by-step explanation:

For the expression \(x^64 + ax^b + 25\) to be a perfect square for all integer values of x, b must be 64, and a must be a perfect square, written as a = \(y^2.\)

To determine the values of a and b such that the expression\(x^64 + ax^b\) + 25 is a perfect square for all integer values of x, we need to analyze the properties of perfect squares.

A perfect square is an expression that can be written as the square of another expression. In this case, we want the given expression to be in the form of\((x^n)^2,\) where n is an even integer.

Let's examine the given expression: \(x^64 + ax^b\) + 25

For it to be a perfect square, the quadratic term \(ax^b\)must have the same exponent as the leading term\(x^6^4.\) This means b must be equal to 64.

So we have:\(x^64 + ax^64 + 25\)

Now, we can rewrite this as:\((x^32)^2 + 2(x^32) (\sqrt{a}) + (\sqrt{25})^2\)

By comparing this with the standard form of a perfect square, (\(x^n +\sqrt{k} )^2\), we can deduce that √a must be equal to x^32 and \(\sqrt{25}\) must be equal to \(\sqrt{k.}\)

Therefore, we have: \(\sqrt{a} = x^3^2\)and\(\sqrt{25} = \sqrt{k}\)

From the second equation, we know that k = 25.

Now, substituting the value of k back into the first equation, we have: \(\sqrt{a} = x^3^2\)

To satisfy this equation for all integer values of x, a must be a perfect square. Therefore, we can express a as a =\(y^2\), where y is an integer.

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Answer:

g(x) = x³ - 2

(option B)

Step-by-step explanation:

because the shape of the graph has not changed, we know that there was no direct change to x

(this would have looked like 2x³ instead of x³)

and because the graph was not shifted along the x-axis (left or right), we know that the change did not happen inside the parenthesis

(this would have looked like (x³ - 3) instead of (x³) )

we know that the only change that has happened to this graph was a downward shift along the y-axis  which can be expressed as

g(x) = x³ - 2

The equation of the red graph will be g(x) = x³ - 2.Option B is correct.

A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.

We know that there was no immediate change to x since the graph's form has not altered. Instead of x³, this would have appeared as 2x³.

Thus we can be confident that the change did not occur inside the parenthesis since the graph was not moved down the x-axis.

We may infer that this graph's sole modification was a downward shift along the y-axis, which is written as;

g(x) = x³ - 2

The graph is also attached in the attachment.

The equation of the red graph will be g(x) = x³ - 2.

Hence option B is correct.

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Answer:

13

Step-by-step explanation:

I'm not sure what your asking but 13 is less than 14 but greater than 12

Answer:

13

Step-by-step explanation:

N/50=>12<14

=13

b/c the no fuond between 12 and 14 is 13

Answer:

Simplifying the expression `n + n - 0.18n`, we get:

n + n - 0.18n = 2n - 0.18n

Therefore, the expression `n + n - 0.18n` is equivalent to `2n - 0.18n`.

Looking at the answer choices:

a. 1.18n

b. 1.82n

c. n- 0.18

d. 2n - 0.82

We can see that choice d is equivalent to the simplified expression `2n - 0.18n`.

Therefore, the answer is d. 2n - 0.82.

Step-by-step explanation:

Answer:

\(A=1347.7\ cm^2\)

Step-by-step explanation:

Given that,

Radius of a cone, r = 13 cm

Slant height of the cone, l = 20 cm

We need to find the surface area of the cone. The formula for the surface area of the cone is given by :

\(A=\pi rl +\pi r^2\)

Put all the values,

\(A=\pi r(l + r)\\\\A=\pi \times 13(20 + 13)\\\\A=1347.7\ cm^2\)

So, the surface area of the cone is \(1347.7\ cm^2\).

Answer:

Yellow is correct.

You can add the valued and divide by how many values there are to find the mean

The score of 20 is an outlier and brings the mean score down by almost 10%

Step-by-step explanation:

Answer:

3: The low score causes the mean to decrease.

Step-by-step explanation:

If you add a significantly lower number, it will bring down the overall average.

Hope this helps!

Answer: x = -2/3

\(\frac{x}{x+2}- \frac{4}{x-2}=1\\\\<=>\frac{x(x-2)}{(x+2)(x-2)}-\frac{4(x+2)}{(x+2)(x-2)}=1\\\\\\<=>\frac{x(x-2)-4(x+2)}{(x-2)(x+2)}=1\\\\\\=>x(x-2)-4(x+2)=(x-2)(x+2)\\\\\\<=> x^{2} -2x-4x-8=x^{2} -4\\\\\\<=>-6x-8=-4\\\\\\<=>-6x=8-4\\\\\\<=>-6x=4\\\\\\<=>x=-4/6=-2/3\)

Step-by-step explanation:

Answer:

that's right B) 3 - √3i

Step-by-step explanation:

(12 - √-48) / 4 =

12/4 - √-48 /4

= 3 - √(-48/16)

= 3 - √-3

= 3 - √ 3i

\(\\ \rm\Rrightarrow \dfrac{12-\sqrt{-48}}{4}\)

\(\\ \rm\Rrightarrow \dfrac{12}{4}-\dfrac{\sqrt{48}i}{4}\)

\(\\ \rm\Rrightarrow 3-4\sqrt{3}i/4\)

\(\\ \rm\Rrightarrow 3-\sqrt{3}i\)

Answer:

The first choice

Step-by-step explanation:

Answer: 11.70

Step-by-step explanation:

Answer: C y>3x+1

Step-by-step explanation:

From all the given options , only C contains inequality with '>' sign .

Hence, y>3x+1 is the inequality has a dashed boundary line when graphed.

hence, the correct option is C.

The number of bacteria after 1.5 hours is 320,000.

Given,

The doubling period of a bacteria culture is 15 minutes.

Initially, the culture has 5000 bacteria.

We need to determine the number of bacteria there will be after 1.5 hours.

We have,

The number of bacteria gets double every 15 minutes.

Number of bacteria at initial stage = 5000

In 1.5 hours we have 90 minutes.

1.5 hours = 1 hour and 30 minutes

1 hour = 60 minutes

1.5 hours = 90 minutes.

In 90 minutes we have 6 times 15 minutes.

First 15 minutes,

The number of bacteria would be = 2 x 5000 = 10,000

Now next 15 minutes,

10,000 x 2 = 20,000

Next 15 minutes,

20,000 x 2 = 40,000

Next 15 minutes,

40,000 x 2 = 80,000

Next 15 minutes,

80,000 x 2 = 160,000

Next 15 minutes,

160,000 x 2 = 320,000

We can also write it as 5000 x 2^6 = 320,000

Thus the number of bacteria after 1.5 hours is 320,000.

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Answer:

hello attached below is the detailed solution

answer : In |x+1| + [2/(x+1)] + [1/(1+x)^2] - [y^2/2(1+x)^2] = 5/2

Step-by-step explanation:

Given

(x^2 + y^2 - 3) dx = ( y + xy ) dy,  y(0) = 1

solving the given initial-value problem

Answer: 7/10.

Step-by-step explanation: To write 0.7 as a fraction, you can use the following steps:

Multiply 0.7 by 10 to get 7.0

Write 7.0 as a fraction: 7.0 = 7/1

Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 1 in this case: 7/1 = 7/1

Therefore, 0.7 can be written as a fraction in simplest form as 7/10.