on a map, the distance between jacksonville FL and tallahasse FL is about 5 inches. According to the scale, 1 inch represents 25 miles. About how far apart are these two cities?

Answer:

               [tex]y=x\\\\y=\dfrac{-x+10}{x-4}[/tex]

Step-by-step explanation:

Red line is increasing and for any x goes the same y, so it's y = x

The blue graph is  [tex]y=\dfrac a{x-h}+k[/tex], where h=4 and k =-1 and for x=5 also y=5

It gives:

               [tex]5=\dfrac a{5-4}+(-1)\\5=a-1\\a=6[/tex]

So:

      [tex]y=\dfrac6{x-4}-1 =\dfrac6{x-4}-\dfrac{x-4}{x-4} =\dfrac{6-x+4}{x-4}=\dfrac{-x+10}{x-4}[/tex]

Answer:

[tex]\huge\boxed{-1}[/tex]

Step-by-step explanation:

[tex]\frac{-5^2}{(-5)^2}[/tex]

=> [tex]\frac{-25}{25}[/tex]

=> -1

Answer:

-1

Step-by-step explanation:

-5^2 is -25 because you have to do exponents first, so 5^2 is 25. Add a negative symbol there, it becomes -25.

For the denominator, we do the exact same process, except a little different. Since there are parentheses around the negative five, we have to apply the negative symbol on the 5 before we do the exponents. After, we do -5^2 which is 25 because when you are multiplying negative, you always get a positive.

When we are all done with that, we put the numerator over the denominator to get -25/25, which is equivalent to -1.

The correct answer is B) Beliefs

Explanation:

Pseudoscience differs from science because this is based on personal beliefs or non-proven statements. For example, disciplines such as Astrology or Numerology are considered pseudoscience because these cannot be proven scientifically, are not based in facts or reality, and in general, do not follow the standards of science. This means one component of pseudoscience is that this is based on personal beliefs as pseudosciences do not follow the scientific method but this does not occur in science.

The correct answer is B) Beliefs

Explanation:

Pseudoscience differs from science because this is based on personal beliefs or non-proven statements. For example, disciplines such as Astrology or Numerology are considered pseudoscience because these cannot be proven scientifically, are not based in facts or reality, and in general, do not follow the standards of science. This means one component of pseudoscience is that this is based on personal beliefs as pseudosciences do not follow the scientific method but this does not occur in science.

Answer:

x = (4y-6)/17

where x is the  number of pens each student got.

Step-by-step explanation:

No. of boxes = 4

no. of pen in 1 box = y

total no, of pens in 4 box =  No. of boxes *no. of pen in 1 box = 4y

No. of pen took away by Jaden's teacher = 6

no. of pens left = 4y - 6

This, 4y - 6 pen has to be divided among 17 students.

Let  each student get x pen

thus, total no. of pen got by 17 student  = 17x

This, 17x should be equal to total no. of pens available which is 4y-6

17x = 4y-6

=> x = (4y-6)/17

Thus, expression to represent  number of pens each student got

is x = (4y-6)/17

Answer:

4y-6/17

Step-by-step explanation:

Jaden’s teacher had 4 boxes of pens that each contained y pens.

Number of boxes of pen = 4

Number of pens per box = y

Total number of pens = 4 x y = 4y

She took 6 pens out of one of the boxes told her 17 students to divide the remaining pens equally among themselves.

Total number of pens left = 4y - 6

Number of students = 17

Answer: y=18+4x

Step-by-step explanation:  Let y stand for the number of customers the business has in total, and x stand for the number of weeks that have passed. If the business increases by 4 clients per week as described by the scenario, then the range will go as followed: 18, 22, 26, 30...

Answer:

(5,3) and (5,9)

Step-by-step explanation:

Answer:

Step-by-step explanation:

When the quadratic is written in vertex form:

  x = a(y -k)^2 +h

the vertex is (x, y) = (h, k), and the length of the latus rectum is 1/a.

For your given equation, ...

  x = (1/2)(y -5)^2 +7

you have a=1/2, k = 5, h = 7, so ...

  the vertex is (7, 5)

  the length of the latus rectum is 1/(1/2) = 2

Answer:

0.4

Step-by-step explanation:

Given

[tex]\frac{0.2^3(8)}{0.4^2}[/tex]

= [tex]\frac{0.008(8)}{0.16}[/tex]

= [tex]\frac{0.064}{0.16}[/tex]

= 0.4

Answer:

375 mm cubed

Step-by-step explanation:

The volume would stay the same because the same number of the same pennies are being used.

If the question was asking for the surface area, then the answer would be different.

Hope that helped!!! k

Answer: 375 mm cubed

Answer:

Acute.

Step-by-step explanation:

An angle of measure between 0 and 90 degrees is an acute angle.

Answer:

If you have given an equation, you see the x and y in it. Just taking second equation and think any common factor between x's variable. With common factor, multiply both and you will find the value of y and put it in any equation, you will find the value of X.

Answer:

Hey there!

I can't see the full problem, but if when x=0.5, y=4, then when x=4, y=32, and when x=9, y=72. You multiply by a common multiple to get from x to y.

Hope this helps :)

Answer:

1/2=0.5

Step-by-step explanation:

¼=0.25

¾=0.75

Answer:

4.76 g/cm³

Step-by-step explanation:

Density formula = mass / volume

1. Set up the equation and solve

50.0 / 10.5 = 4.76

Answer:

Area of the square: 36

Step-by-step explanation:

6.1+8.2+9.7=24. Squares have 4 sides so 24/4=6. Area= base times highet, Base=6 Highet=6. 6 times 6=36!

Answer:

A=36 cm²

Step-by-step explanation:

the perimeter of triangle=a+b+c

P=6.1+8.2+9.7

P= 24 cm

P of triangle = P of square ( square has 4 equal sides):

24=4a

a=24/4=6

Area of square : a²

A=6² = 36 cm²

Answer:

civil engineering..

hope it helps u

Answer:

1 2/3 = m

Step-by-step explanation:

2/3 = m+3/5 -8/5

Combine terms

2/3 = m-5/5

2/3 = m -1

Add 1 to each side

2/3 +1 = m-1+1

2/3 +3/3 = m

5/3 = m

1 2/3 = m

Answer:

[tex]\large \boxed{\sf m = \frac{5}{3} }}[/tex]

Step-by-step explanation:

2/3 = m + 3/5 - 8/5

Subtract the fractions since the denominators are same.

2/3 = m -5/5

Simplify the equation.

2/3 = m - 1

Add 1 to each side.

5/3 = m

Answer:

y=-¼x+⁴⁴/8

Step-by-step explanation:

p(2,-6). Q(-6-4)

p (x¹,y¹). Q(x²,y²)

1) find the gradient(slope)

gradient=y²-y¹

x²-x¹

gradient = -4-(-6)

-6-2

gradient= -4+6

-6-2

gradient=²/-8

2)equation is supposed to be in the form of y=mx+c

where m is the gradient

thus.

gradient=y²-y¹

x²-x¹

when finding the equation we only use one of the values of the coordinates leaving the other as an unknown value.

2 = y-(-4)

-8 x-(-6)

2 =y+4

-8. x+6

remove the denominators by cross multiplying that is:

2(x+6)= -8(y+4)

2x+12= -8y-32

express in the format y=mx+c

2x+12+32=-8y

2x+44=-8y.

divide all sides by -8 to remain with y

²/-8x+⁴⁴/-8=y

-¼x+ -⁴⁴/8=y

y=-¼x-⁴⁴/8

Step-by-step explanation:

let the function be $y=mx+c$ since it is linear.

1=3m+c

and

5=2m+c

solve c to get the y intercept

Answer:

None

Step-by-step explanation:

All of the fractions listed are not a whole or more than a whole. They are all parts of a whole, therefore she did not spend more than an hour on any of them

Answer:

cooking and swimming

Step-by-step explanation:

Answer:

P(t)=25000(1.12)^t

Step-by-step explanation:

only answering so i can go back to not watching ads :/ but hope u dont get it wrong even tho i gave right answer

Answer:

P(t) = 25000 x 1.12^t

Step-by-step explanation:

25000 times 1.12 because it is increasing by a factor of 1.12.

Answer:

35.11 ft

Step-by-step explanation:

This given situation can be thought of as triangle [tex]\triangle PQR[/tex] where PQ is the length of pole.

PR is the length of rope.

and QR is the distance of bottom of pole to the point of fastening of rope to the ground.

And [tex]\angle Q \neq 90^\circ[/tex]

Given that:

PQ = 44 ft

PR = 51 ft

[tex]\angle R = 58^\circ[/tex]

To find:

Side QR = ?

Solution:

We can apply Sine Rule here to find the unknown side.

Sine Rule:

[tex]\dfrac{a}{sinA} = \dfrac{b}{sinB} = \dfrac{c}{sinC}[/tex]

Where  

a is the side opposite to [tex]\angle A[/tex]

b is the side opposite to [tex]\angle B[/tex]

c is the side opposite to [tex]\angle C[/tex]

[tex]\dfrac{PR}{sinQ}=\dfrac{PQ}{sinR}\\\Rightarrow sin Q =\dfrac{PR}{PQ}\times sinR\\\Rightarrow sin Q =\dfrac{51}{44}\times sin58^\circ\\\Rightarrow \angle Q =79.41^\circ[/tex]

Now,

[tex]\angle P +\angle Q +\angle R =180^\circ\\\Rightarrow \angle P +58^\circ+79.41^\circ=180^\circ\\\Rightarrow \angle P = 42.59^\circ[/tex]

Let us use the Sine rule again:

[tex]\dfrac{QR}{sinP}=\dfrac{PQ}{sinR}\\\Rightarrow QR =\dfrac{sinP}{sinR}\times PQ\\\Rightarrow QR =\dfrac{sin42.59}{sin58}\times 44\\\Rightarrow QR = 35.11\ ft[/tex]

So, the answer is 35.11 ft.

Answer:

They will bisect eachother

Step-by-step explanation:

meaning they will cross in the middle

Answer:

Step-by-step explanation:

To solve the question first write 32 in exponential form

That's

Multiply the exponent by 1/5

That's

We have the final answer as

Hope this helps you

Answer:

2

Step-by-step explanation:

32 ^ (1/5)

Rewriting 32 as 2^5

2^5 ^ 1/5

We know that a^b^c = a^ ( b*c)

2^ ( 5*1/5)

2^1

2

Answer:

It will increase by 9 units.

Step-by-step explanation:

We can write the lowest number as  10a + (a + 1) and the highest is the reverse which is 10(a + 1) + a.

Subtracting:

10(a + 1) + a - (10a + a +1)

= 10a + 10 + a - 10a - a - 1

= 10a - 10a + a - a + 10 - 1

= 10 - 1

= 9.

Answer:

A) 0.40

Step-by-step explanation:

5 goes into 100, 20 times. Each coin flip is equal to 0.20, so 2 heads would be 0.40.

Relative frequency of heads coming up is 0.40

Given,

Flipping of coin 5 times .

Here,

The probability of head and tail coming in a single flip of coin is equal .

P(H) = P(T) = 1/2

Thus there are equal number of chances for head and tail .

Here,

Two heads are coming in the flip of five times .

So,

Two heads will be coming up as

0.20 * 2

= 0.40

Know more about probability,

https://brainly.com/question/31828911

#SPJ4

Answer:

29.5 mm

Step-by-step explanation:

We are told that the average monthly rainfall for 6 months was 28.5 mm.

Thus, total for the 6 months = 28.5 × 6 = 171 mm

Now, we are told that it rained 1 mm extra each month.

So extra for the six months = 1 × 6 = 6mm

New total for 6 months = 171 + 6 = 177 mm

So, new average for 6 months = 177/6 = 29.5 mm

Answer:

Quadrilateral ABCD is a parallelogram, quadrilateral with opposite sides parallel

Step-by-step explanation:

Statement,                                       Reason

∠A = ∠C,                                          Given

∠B = ∠D,                                          Given

Therefore, we have

∠A + ∠B + ∠C + ∠D = 360°,            Sum of interior angles of a quadrilateral

2×∠A + 2×∠B = 360°,                         Substitution property of equality

∴ ∠A + ∠B = 360°/2 = 180°

∠A + ∠B, are supplementary  angles,   Angles that sum up to 180°

Similarly,

∠C + ∠D, are supplementary  angles,   Angles that sum up to 180°

Therefore, segment DA is parallel to segment BC, (Lines with supplementary angles on the same side of the transversal)

Similarly, given ∠A = ∠C and ∠B = ∠D, we have;

∠A + ∠D and ∠C + ∠B are supplementary  angles,   Angles that sum up to 180°

Therefore, segment AB is parallel to segment DC, (Lines with supplementary angles on the same side of the transversal)

Therefore;

Quadrilateral ABCD is a parallelogram, quadrilateral with parallel opposite sides.

Answer:

D: {x∈R | -2 ≤ x ≤ 2 }

R: {y∈R | 0 ≤ y ≤ 4 }

Step-by-step explanation:

The domain ranges between -2 and 2

The range ranges between 0 and 4

Answer:

1. The Additive Inverse Property

2. Zero Product Property

Step-by-step explanation:

In the first step, we can see that we ad 4 and -4 to get to 0.

4 and -4 are opposites, and because of the Additive Inverse Property, they equal 0.

In the second step, we can see that we multiply y by 0. According to the Zero Product Property, anything multiplied by zero will equal 0.

Hope this helped!

Answer:

O lines and line t Intersect at Point P