What is the slope through the line through (-1,8) and (3,-4)?

Answer:

43/160

Step-by-step explanation:

To find the relative frequency,

We just have to know things:

1. The data for asked event

2. Total number of data.

With these 2 points, we can create a fraction that is formed like this:

Data of event / Total data

In this case it is:

43/160

Hope this helps

Answer:

X=4

Step-by-step explanation:

12x-3=45

12x. =45+3

12x. =48

X=4

The value of x is 10, given that the two triangles are similar to each other.

The corresponding sides of a pair of similar triangles are in proportion.

This can be shown like this:

If Δ ABC ~ Δ XYZ, that is, triangle ABC is similar to triangle XYZ, we can write that,

AB/XY = BC/YZ = CA/ZX.

In the question, we are asked to find the value of x, given that triangle SER is similar to triangle GEF.

∴ Δ SER ~ Δ GEF.

By properties of similar triangles, we can write that:

SE/GE = ΔER/EF = RS/FG,

or, 45/(12x - 3) = 55/143 = RS/FG.

We can use the first two parts of the relation, to form an equation in x, and solve for it.

∴ 45/(12x - 3) = 55/143

or, 12x - 3 = (45 * 143)/55 =  117

or, 12x = 117 + 3 = 120

or, x = 120/12 = 10.

∴ The value of x is 10, given that the two triangles are similar to each other.

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Answer:

24 terminal zeros

Step-by-step explanation:

Here, we want to know the number of terminal zeros that the product if the integers above has

Terminal zeros refer to the zeros at the right of the last non zero digits

The product we are dealing with is;

80^16 * 75^8

80^16 itself has 16 terminal zeros

while 75^8 should have 8 terminal zeros

So the total number of expected terminal zeros is simply the addition of both terminal zeros and that gives 16 + 8 = 24 terminal zeros

Answer:

24

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

59 kph

Step-by-step explanation:

The train goes 327 in 5 and 1/2 hours

So we do 327 / 5.5 = 59.49.....

Then we round down to get:

59 kpm

Step-by-step explanation:

Plug in -2 whenever u see x

3(-2) -7= 5(-2-1)

-6-7= -10-1

-13 = -11

Therefore, x is not equal to -2.

Answer:

C

Step-by-step explanation:

We start with the second line;

3x -2y + 4 = 0

3x + 4 = 2y

divide through by 2

3x/2 + 2 = y

Comparing this with standard form of y = mx + c

where m is slope

This means 3/2 is slope of the line

Since this line is perpendicular to the other line, then the product of their slopes is -1

3/2 * slope of second line = -1

Slope of second line = -1 divided by 3/2 = -2/3

We use the point slope form to find the equation of the other line

y-y1 = m(x-x1)

where m = -2/3 and (x1,y1) = (2,-3)

y-(-3) = -2/3 (x-2)

y + 3 = -2/3 (x -2)

3(y + 3) = -2(x-2)

3y + 9 = -2x + 4

3y + 5 = -2x

3y + 2x + 5 = 0

Answer:

The solution would be 75911*10^10/462500 or 1.64132 x 10^9

Step-by-step explanation:

Answer:

8.533333

Step-by-step explanation:

9^(− 1/ 2 )+25− 1 2 +32^ (3/ 5) = 9 (−1 /2) +25(− 1 /2) +32 ^(3 /5)

=0.333333+25^(− 1/ 2) +32 ^(3 /5)

=0.333333+25 ^(−1 /2) +32 ^(3/ 5)

=0.333333+0.2+32^ (3/ 5)

=0.533333+32 ^(3 /5)

=0.533333+8

=8.533333

Answer:

f^-1 = 36

Step-by-step explanation:

[tex]f(x) = (\frac{x}{6} ) -5\\f^{-1} (1) = ?\\f^-^1= \\y = (\frac{x}{6} ) -5\\ y = \frac{x}{6}-5\\y+5 = x/6\\Multiply -through- by ; 6\\ 6(y+5) =x\\f^-^1(x) = 6(x+5)\\f^-^1(1) = 6(1+5)\\ = 6(6)\\f^-^1 (1) = 36[/tex]

Step-by-step explanation:

SEE THE IMAGE FOR SOLUTION

HOPE IT HELPS

HAVE A GREAT DAY

Answer:

(-1,-2)

Step-by-step explanation:

y≥-2x

y>|x+|^?

according to the graph only (-1,-1) are in the shaded area

f • g denotes the product of f and g, so that

[tex](f\cdot g)(x)=f(x)\cdot g(x)=(3x-8)(-2x+5)[/tex]

Without computing the whole product, just look at the first terms, [tex]-6x^2[/tex]. This tells you that f • g is quadratic, and its graph is a stretched parabola that opens downward.

You can treat the product g • s similarly:

[tex](g\cdot s)(x)=(-2x+5)(4x^2-9x+2)[/tex]

The leading term is [tex]-8x^3[/tex], so the graph should resemble a stretched cubic curve reflected across the x axis.

The leading term is , so the graph should resemble a stretched cubic curve reflected across the x axis.

Answer:

36

Step-by-step explanation:

Let's call the # of boys and girls 5x and 3x respectively. We can write:

5x = 3x + 24

2x = 24

x = 12 so the # of girls = 12 * 3 = 36

Answer:

solution,

Let the number of girls be X

Number of boys be 'x+24'

Now,

[tex] \frac{x + 24}{x} = \frac{5}{3} \\ or \: 3(x + 24) = 5x \\ or \: 3x + 72 = 5x \\ or \: 3x - 5x = - 72 \\ or \: - 2x = - 72 \\ or \: x = \frac{ - 72}{ - 2} \\ x = 36[/tex]

hope this helps..

Good luck on your assignment..

Answer:

C.

Step-by-step explanation:

Slope = m = (y2 - y1)/(x2 - x1) = (5-(-1))/(4 - 2) = 6/2 = 3

Slope - point form:

y - y1 = m(x -x1)

y - 5 = 3(x - 4)

y - 5 = 3x - 12

- 3x + y = - 12 + 5

- 3x + y = - 7

Answer:

Option C is the correct option.

Step-by-step explanation:

A line passes through ( 2 , -1 ) and ( 4 , 5 )

The equation of line:

[tex] \frac{y - y1}{x - x1} = \frac{y2 - y1}{x2 - x1} [/tex]

Plug the values

[tex] \frac{ y - ( - 1)}{x - 2} = \frac{5 - ( - 1)}{4 - 2} [/tex]

When there is a ( - ) in front of an expression in parentheses, change the sign of each term in the expression

[tex] \frac{y + 1}{x - 2} = \frac{5 + 1}{4 - 2} [/tex]

Add the numbers

[tex] \frac{y + 1}{x - 2} = \frac{6}{4 - 2} [/tex]

Subtract the numbers

[tex] \frac{y + 1}{x - 2} = \frac{6}{2} [/tex]

Reduce the numbers with 2

[tex] \frac{y + 1}{x - 2} = 3[/tex]

Apply cross product property

[tex]3x - 6 = y + 1[/tex]

Move variable to L.H.S and change its sign

Similarly, Move constant to R.H.S and change its sign

[tex]3x - y = 1 + 6[/tex]

Add the numbers

[tex]3x - y = 7[/tex]

[tex] - 3x + y = - 7[/tex]

Hope this helps...

Best regards!

Answer:

-822

Step-by-step explanation:

Not sure how to explain.

Answer:

-18

Step-by-step explanation:

d(1) = 1/12

d(2)=d(1) • (-6)=-1/2

d(3)=d(2)•(-6)=3

d(4)=d(3)•(-6)=-18

Answer:

Step-by-step explanation:

In an arithmetic sequence, the consecutive terms differ by a common difference. The formula for determining the nth term of an arithmetic sequence is expressed as

Tn = a + (n - 1)d

Where

a represents the first term of the sequence.

d represents the common difference.

n represents the number of terms in the sequence.

From the information given,

a = - 5

d = 6

n = 21

We want to determine the value of the 21th term, thus, n = 21. Therefore,

T21 = - 5 + (21 - 1)6

T21 = - 5 + 120

T21 = 115

Answer:

115

Step-by-step explanation:

I had this on my test and I got 100%

Answer:

20

Step-by-step explanation:

y = 35x + c

Put x as 1, and y as 55.

55 = 35(1) + c

55 - 35 = c

20 = c

Answer:

6 cm

Step-by-step explanation:

If the linear scale factor of two solids is k, then the volume scale factor is k^3.

The volume scale factor is 128/54 = 64/27 = (4/3)^3.

The linear scale factor is 4/3.

4.5 cm * 4/3 = 6 cm

Answer: The height of the larger container is 6 cm.

The height of the larger container is 6cm.

Volume is defined as the space occupied within the boundaries of an object in three-dimensional space.

Given that two containers are mathematically similar.

Their volumes are 54cm³ and 128cm³.

The height of the smaller container is 4.5cm.

We need to find the height of the larger container

Let the linear scale factor of two solids is k, then the volume scale factor is k³.

The volume scale factor is 128/54

= 64/27

= (4/3)³.

The linear scale factor is 4/3.

Now multiply 4/3 with the 4.5.

4.5 cm × 4/3 = 6 cm

Hence, the height of the larger container is 6cm.

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Answer:

Approximately 3.2362.

Step-by-step explanation:

Recall that definition of cosecant and sine:

[tex]\displaystyle \sin(\theta) = \frac{1}{ \csc(\theta) }\text{ and } \csc(\theta)=\frac{1}{\sin(\theta)}[/tex]

Since we are given that sin(θ) ≈ 0.3090, this means that cosecant will be:

[tex]\displaystyle \csc(\theta)\approx \frac{1}{0.3090} = 3.2362[/tex]

Answer:

3.236

Step-by-step explanation:

csc=1/sinФ

csc=1/0.3090= 3.236

Answer:

the correct answer is

lets say the number xy (x in tens place and y in units place)

first equation (x+y =10 i.e x=10-y

also 3x-2y=15 i.e 2y=3x-15)

second equation

substitution the value of x from first equation in second equation (or you can do vice- versa)gives you 2y=3(10-y)-15 and so,

2y=30-3y-15 i.e5y=15 and y=3

since x=10-y; x=10-3 which is 7

the answer is 73.

Step-by-step explanation:

hope this helps you!!!!

Answer:

1.206

Step-by-step explanation:

13.4 × 0.05 × 1.8

= 67/5 × 5/100 × 9/5

= 603/500

= 1.206

Answer:

  D)  3x − 2y < 7

Step-by-step explanation:

We note that the x- and y-intercepts are about 2.3 and -3.5, respectively.

In "intercept form," the equation of the line can be written ...

  x/x-intercept +y/y-intercept = 1

Using the given intercepts, this is ...

  x/2.3 +y/(-3.5) = 1

The answer choices suggest that we should multiply this by 7. When we do, we get ...

  3x -2y = 7 . . . . the equation of the boundary line

__

The next trick is to figure the comparison symbol. We note that x-values are less than those on the line, and y-values are greater than those on the line. It is convenient to consider the term with a positive coefficient, so we don't get confused with minus signs and reversed comparisons.

As we said, x-values are less than those on the line, so the shaded area is ...

  3x -2y < 7 . . . . matches choice D

Answer:

D)  3x − 2y < 7

Step-by-step explanation:

Took the test and got it right :)

Answer:

x = -45.

Step-by-step explanation:

-x - y = 30

-x - 15 = 30

x + 15 = -30

x = -45

To check we are correct...

-(-45) - y = 30

45 - y = 30

-45 + y = -30

y = 15

So, x = -45.

Hope this helps!

Answer:

x = -45

Step-by-step explanation:

-x - y = 30

Let y = 15

-x - 15 = 30

Add 15 to each side

-x-15+15 = 30+15

-x = 45

Multiply each side by -1

x = -45

Answer:

[tex] \frac{3}{20} [/tex]

Step-by-step explanation:

[tex]15\% = \frac{15}{100} [/tex]

So,

[tex] \frac{15 \div 5}{100 \div 5} = \frac{3}{20} [/tex]

hope this helps you.

Answer:

ANSWER:

3x  + 3y = 0

7x - y = 8

Step-by-step explanation:

Answer:

I would say multiply everything by 2 and you’ll have an equivalent system of equations or multiply by 3  or any number, because im not sure if this is a multiple answer question, so sry

Answer:

Option D.

Step-by-step explanation:

If a number can be written in the form of [tex]\dfrac{p}{q},q\neq 0[/tex], then it is know as rational number.

We know that,  

Terminating decimal is always a rational number. and non-terminating decimals are rational if they are repeating decimals.

From the given options all numbers are non-terminating decimals but 5.3333333... is a number with repeating decimal.

So, 5.3333333... is a rational number.

Therefore, the correct option is D.

Answer:  D) csc (2π/3)

Step-by-step explanation:

2π/3 is in Quadrant II

Quadrant II has a negative x-value and a positive y-value.

x-values are: cos & sec

y-values are: sin & csc

tan = y/x so will be negative in Quadrant II

A) sec = -

B) tan = -

C) cos = -

D) csc = +     this works!

Answer:

12a^2+18ab-6ac+25a-3b+c

Step-by-step explanation:

Answer:

[tex]profit \: percent = \frac{sp - cp}{cp} \times 100 \: percent[/tex]

where,

SP=Selling price

CP=Cost price

Given,

Selling price(SP)= 1000

Cost price(CP)=800

Now,

[tex]profit \: percent = \frac{sp - cp}{cp} \times 100 \: percent \\ = \frac{1000 - 800}{800} \times 100 \\ = \frac{200}{800} \times 100 \\ = 25 \: percent[/tex]

Hope this helps...

Good luck on your assignment..