let f(x) = 1/x-3 and g(x) = square root of x+5

Answer:

40 minutes

Step-by-step explanation:

The first train leaves at 6:15 am

The second train leaves at 6:55 am

You can subtract the second train time with the first train time.

6:55am -6:15am = 40 minutes

Therefore, the second train left 40 minutes after the first train. :)

Answer:

(-4, 0)

Step-by-step explanation:

The x-intercept is when y = 0

Since y = 0 at x = -4, that is the row which reveals the x - intercept of the function.

Answer:

In one in. there is 10 mm

Answer:

The answer is 10 mm

Step-by-step explanation:

it takes 10 mm to make 1 cm

-TheUnknownScientist 72

Answer:

  ∠1 = 40°

  ∠2 = 23°

  ∠3 = 35°

  ∠4 = 82°

Step-by-step explanation:

The points where segments intersect the sides of triangle GHJ can be named as follows: P on GH, Q on HJ, R on JG.

Segments PQ and JG are parallel, which makes it possible to identify these relations:

  ∠2 ≅ 23° . . . . . alternate interior angles at transversal GQ

  ∠4 +23° = 105°   ⇒   ∠4 = 82° . . . . alt interior angles at transversal RQ

The fact that acute angles in a right triangle are complementary can be used to find angle 3.

  ∠3 = 90° -55° = 35°

All of the angles at Q total a linear angle, so we have ...

  ∠1 +∠4 +23° +∠3 = 180°

  ∠1 = 180° -82° -23° -35° = 40°

[tex] \huge \green{Answer}[/tex]

[tex] \: \tt → 94cm {}^{2} [/tex]

[tex] \bf \: Given : \\ \tt Length(l) = 5cm \\ \tt \: breadth(b) = 4cm \\ \tt \: height(h) = 3cm \\ \\ \bf \: Apply \: formula : \\ \bf \tt \: Surface \: \: area \: \: of \: \: a \: \: cuboid \: \\ \tt \: = >2(lb + bh + hl) \\ \\ \tt = > 2(5 \times 4 + 4 \times 3 + 3 \times 5) \\ \tt \: = > 2(47)cm \\ \\ \tt = > {94cm}^{2} [/tex]

Answer: 4

Step-by-step explanation:

Answer:

Noah

Step-by-step explanation:

Katie = 10 f/s

Ron = 466 f/33s

Noah = 559 f/60s

Katie = 10 f/s

Ron = 466/33 = 14.1212...f/s

Noah = 559/60 = 9.3166...f/s

Noah is the fastest

Answer:

Here ya go. Hope it helps!

Step-by-step explanation:

Answer:

hi

Step-by-step explanation:

1. y  =   −[tex]\frac{1}{5}[/tex]x + 2

2. y = -[tex]\frac{11}{4}[/tex]x + 7 (only the 11 is negative in the fraction)

3. y = [tex]\frac{-4}{3}[/tex]x - 7

4. y = -x - 12

hope this helps! ^-^

Answer:

Step-by-step explanation:

Let Alvin's speed = x

The distance is the same both ways.

d = (x + 5)*5     coming back

d = (x - 5) * 7    going there.

(x +5)*5 = (x - 5)*7             Remove the brackets

5x + 25 = 7x - 35              Subtract 5x from both sides.

25 = 7x - 5x - 35              Combine

25 = 2x - 35                     Add 35 to both sides

25 + 35 = 2x                    Combine

60 = 2x                             Divide by 12

60/2 = x

x = 30

His paddling speed was 30

Answer:

210 grams of sugar

Step-by-step explanation:

It is hard to tell what the right answer is based on that we don't know any amount of sugar in the soda. So the best I could tell you is what I found off the internet based on brands like Mug and Cola:

Volume of cola = 2.0 L × (33.8 fl oz/1L)

                             = 67.6 fl oz

Grams of sugar = 67.6 fl oz × (25 g sugar/8.0 fl oz)

                           = 210 g sugar

I hope this solves your problem!  

Answer:

I'm not sure I wish I could help you but I really don't know I'm sorry

Step-by-step explanation:

Answer:

7 5/8 lbs. of vegetables.

Step-by-step explanation:

Find a common denominator. 8 4x2 and 2x4 and 8x1. 1/4x2=1/8 and 1/2x4=4/8.

4/8+7/8+2/8=13/8 or 1 5/8.

Add the whole numbers:

3+1+2=6.

Add both sums to get the total:

1 5/8 + 6 = 7 5/8

Answer:

√3/6

Step-by-step explanation:

I've attached the step-by-step as a picture (I typed is in MS Word as it's quicker than using the equation function here).

Answer:

b = 8

Step-by-step explanation:

The area (A) of a parallelogram is calculated as

A = base × height

Here A = 40 and h = 5 , then

base × 5 = 40 ( divide both sides by 5 )

base b = 8

Let's see

So

[tex]\\ \rm\rightarrowtail 5b=40[/tex]

[tex]\\ \rm\rightarrowtail b=40/5[/tex]

[tex]\\ \rm\rightarrowtail b=8units[/tex]

Answer:

$29.33

Step-by-step explanation:

so first you would take 352 divide 6 then take the answer you got divide by 2 and boom their is your answer

Answer:

5/8 is greater

Step-by-step explanation:

you can divide 8 into 5 to get the decimal equivalent of 5/8, which is 0.625

you can divide 5 into 3 to get the decimal equivalent of 3/5, which is 0.600

so 5/8 is greater

or . . .

you can create equivalent fractions using a common denominator and then compare numerators

[tex]\frac{5}{8}[/tex] = [tex]\frac{25}{40}[/tex]

[tex]\frac{3}{5}[/tex] = [tex]\frac{24}{40}[/tex]

this proves, again, that 5/8 is greater but only by [tex]\frac{1}{40}[/tex]

Answer:

Given fractions are 5/8 and 3/5

LCM of 8 and 5=40

Now, making the denominator the same of both fractions

5/8=5 x 5/8 x 5=25/40

3/5=3 x 8/5 x 8=24/40

Since, 25/40>24/40

Hence, 5/8 > 3/8

Step-by-step explanation:

Answer: 60%

Bro I have to explain this?

Just trust me. Put it into a calculator if you need to :)

θ lies in quadrant III, which means

π < θ < 3π/2   ⇒   π/2 < θ/2 < 3π/4

which is to say that θ/2 lies in quadrant II. For quadrant III, we have sin(θ) < 0 and cos(θ) < 0. For quadrant II, we have sin(θ/2) > 0 and cos(θ/2) < 0.

Recall the half-angle identity for sine:

sin²(θ/2) = (1 - cos(θ))/2

Then in this case,

sin(θ/2) = - √((1 - cos(θ))/2)

Also recall the Pythagorean identity,

1 + tan²(θ) = sec²(θ)

It follows that

sec(θ) = - √(1 + tan²(θ)) = -√73/3

⇒   cos(θ) = -3/√73

⇒   sin(θ/2) = - √((1 + 3/√73)/2) = √(1/2 + 3/(2√73))

Answer:

  all unit costs are $24.50 per cubic yard

Step-by-step explanation:

A "unit" is one of something. A "unit cost" is the cost of one of something. Sometimes, you are told what a unit is; sometimes you have to figure out a reasonable unit.

Here, we have cost in dollars and material volume in units of cubic yards. It is reasonable to assume the unit of interest is 1 cubic yard.

It should not be a mystery that the cost of 1 cubic yard will be 1/8 the cost of 8 cubic yards. That is, you find the unit cost by dividing the cost by the number of units:

  A.  ($196)/(8 yd³) = $24.50/yd³

  B.  ($490)/(20 yd³) = $24.50/yd³

  C.  ($637)/(26 yd³) = $24.50/yd³

Answer:

25

Step-by-step explanation:

1/2(5)(10) =

1/2(50) =

25

Answer:

25 in^2

Step-by-step explanation:

How do we solve the area of a triangle?

Answer:

B-5/4

Step-by-step explanation:

25 minutes/ 20 laps= 1.25 minutes per lap, which also equals 5/4 minutes per lap.

Answer:

x = 7    y = -3

Step-by-step explanation:

x - y = 10   ⇒   x = 10 + y

Substitute  x = 10 + y  into 2x - y = 17:

2(10 + y) - y = 17

20 + 2y - y = 17

y = -3

Substitute the found value of y into x = 10 + y to find x:

x = 10 - 3 = 7

[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$650\\ r=rate\to 7\%\to \frac{7}{100}\dotfill &0.07\\ t=years\dotfill &12 \end{cases} \\\\\\ A=650e^{0.07\cdot12}\implies A=650e^{0.84}\implies A\approx 1505.64[/tex]

Answer:

parallel

Step-by-step explanation:

Answer:

371.79miles

Step-by-step explanation:

24.3 miles = 1 gallon of gas

★miles = 15.3 gallon of gas

24.3 × 15.3 =371.79miles

Answer:

111

Step-by-step explanation:

7 : 3

259 : [tex]\frac{259}{7} \times 3[/tex]

Or  [tex]\frac{7}{3}=\frac{259}{x} [/tex]  ⇒  [tex]x=\frac{259}{7} \times 3=111[/tex]