Fu Da spent a whole day traveling. 5/8 of the journey was spent by the airplane and 1/4 of the remainder was by the train. He spent 6 3/4 h on the bus journey.
a) How long did Fu Da spend on the train journey?
b) How much longer did Fu Da spend on the airplane than on the bus?

Answer:

(3x - 5  )

(2x + 5)

Step-by-step explanation:

f(x) =  6x² + 5x - 25

Let's factor it:-

We need 2 numbers whose product = ( 6*-25) = -150 and whose sum =  + 5.

These are 15 and -10. So we write:

f(x) = 6x^2 + 15x - 10x - 25

= (3x - 5)(2x + 5)

= 3x(2x + 5) - 5(2x + 5)

So the factors are  (3x - 5) and (2x + 5)

Answer:

[tex]\frac{sec^2(a)}{2}[/tex]

Combine the terms through trigonometric identity and simplify, this should be your answer(not the actual result of the problem, just the simplified expression).

Answer:

Step-by-step explanation:

The rule is generally to reduce anything that isn't a sin(theta) or cos(theta) down to those two.

Givens

Tan(a) = sin(a) / cos(a)

sin(2a) = 2 sin(a)*cos(a)

Solution

Tan(a)/Sin(2a) = sin(a) / cos(a) // 2 sin(a) * cos(a) / 1    Invert and multiply

Tan(a)/Sin(2a) = sin(a) / cos(a) * 2 sin(a) * cos(a)          Cancel and combine

Answer: Tan(a)/sin(2a)  = 1 / (2* cos^2(a))

Answer:

x = 14º 30'   OR  14.5º

Step-by-step explanation:

(x + 14)º = (3x – 15)º

3x -x = 14º +15º

2x = 29º

x = 14º 30'   OR  14.5º

Answer:

2.99973 but i would put 3 just incase

Step-by-step explanation:

just search on the internet "right triangle calculator"  and click one of the links

For an amount of 6250 Peso, Hank have the quantities of the following denominations: 2503 bills of 50 peso, 2498 bills of 200 peso and 1249 bills of 500 peso.

In this question we must translate the statement of the problem into mathematical expressions and then we must solve the resulting system. We need three equations that describe the quantities of 50 peso, 200 peso and 500 peso bills:

y = x - 5     (1)

0.5 · y = z    (2)

x + y + z = 6250     (3)

The solution of the system of linear equations is described below:

x = 2503, y = 2498, z = 1249

For an amount of 6250 Peso, Hank have the quantities of the following denominations: 2503 bills of 50 peso, 2498 bills of 200 peso and 1249 bills of 500 peso. [tex]\blacksquare[/tex]

To learn more on systems of linear equations, we kindly invite to check this verified question: https://brainly.com/question/20379472

Answer:

(D) 29 pounds 3 ounces

Step-by-step explanation:

1 pound = 16 ounces

Therefore 10 pounds = 16 * 10 = 160 ounces

160 + 7 = 167 ounces (first pile)

Total Weight of Newspapers = Weight of First Pile + Weight of Second Pile

= 167 + 148 = 315 ounces

As 16 ounces = 1 pound

1 ounce = 1/16 pound

315 ounces = (1/16) * 315 = 19.6875 pounds

1 pound = 16 ounces

0.6875 pounds = 16 * 0.6875 = 11

19 + 11 = 30 pounds, which is close to ans (D)

Answer:

51/10 and 11/6

Step-by-step explanation:

10x - 51 = 0

10x = 51

x = 51/10

6x - 11 = 0

6x = 11

x = 11/6

The factorization of the polynomial [tex]x^2 + 6x + 8 is (x + 2)(x + 4)[/tex], which is option A.

To factor the polynomial[tex]x^2 + 6x + 8[/tex], we need to find two numbers whose product is 8 and whose sum is 6, since we're looking for two terms that add up to the middle coefficient of the quadratic expression.

The factors of 8 are ±1, ±2, ±4, and ±8. The pairs of factors that add up to 6 are (2, 4) and (-2, -4). Since the second coefficient is positive, we can select the pair (2, 4), since their sum is positive 6.

Using these factors, we can rewrite the quadratic expression as:

x^2 + 6x + 8 = (x + 2)(x + 4)

We can check our work by expanding the factors using the distributive property:

(x + 2)(x + 4) =[tex]x^2 + 4x + 2x + 8 = x^2 + 6x + 8[/tex]

This confirms that the factorization is correct.(option-a)

For such more questions on polynomial

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Answer:

Step-by-step explanation:

7.07 in2.

Answer:

Number of calculators n(C)=860

Number of defectives n(D)=9

The probability of a random number being defective=n(D)/n(C)

p=9/860.

converting this to a percentage gives us, 9/860×100%

=90/86

=45/43

=1.0465%

Therefore rounding this number to the nearest tenth gives us 1.0 % since the hundredth digit is 4 which is less than 5.

so, the probability of choosing a random defective calculator is 1.0%

Answer: sure, with what though?

Step-by-step explanation:

Answer:

69

Step-by-step explanation:

All angles in a triangle = 180°

35 + x + (x+7) = 180

42 + 2x = 180

2x = 138

x = 69

Hope this helps!

Answer:

x = 14

Step-by-step explanation:

14x - 196 = 0

14x = 0 + 196

14x = 196

x = 196 ÷ 14

x = 14

[tex]14x - 196 = 0 \\ \\ \implies14x = 0 + 196 \\ \\ \implies 14x = 196 \\ \\ \implies \: x = \frac{196}{14} \\ \\ \implies \: x = 14[/tex]

There are 5 numbers and only one of each number.

The probability of landing in 5 would be 1/5

The probability of landing in 2 would be 1/5

The probability of landing on 5 then 2 is 1/5 x 1/5 = 1/25 = 0.04 = 4%

answer = 4%

Answer:

Answer above is correct.

Step-by-step explanation:

Answer:

[tex]7.21\ units[/tex]

Step-by-step explanation:

Start by giving the points coordinate points assuming the origin is the bottom left:

[tex]A(4,2)\\B(10,6)[/tex]

Apply the formula for the distance between two points:

[tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]d = \sqrt{(10-4)^2+(6-2)^2}[/tex]

[tex]d = \sqrt{6^2+4^2}[/tex]

[tex]d = \sqrt{36+16}[/tex]

[tex]d = \sqrt{52}[/tex]

[tex]d = 7.21\ units[/tex]

Answer:

7.22 units

Step-by-step explanation:

Using Pythagorean Theorem

Answer:

Free point 3 weeks ago.

Step-by-step explanation:

Answer:

C. 1

Step-by-step explanation:

Given:

[tex]\displaystyle \large{\sqrt{\sqrt{\sqrt{x}}} = 16}[/tex]

The equation can be rewritten as:

[tex]\displaystyle \large{\sqrt[8]{x} = 16}[/tex] via surd property.

Since it’s an even surd, that means there only exists zero-positive numbers for value of x.

To solve this surd equation, simply clear out the surd by powering both sides by 8:

[tex]\displaystyle \large{\left(\sqrt[8]{x}\right )^8=(16)^8}[/tex]

Cancel the surd:

[tex]\displaystyle \large{x=16^8}[/tex]

Now, evaluating 16^8 will give up a million and that’s not necessary because we are finding how many solutions this equation has. Since theee only exists one value of x, which is the solution to this equation. Therefore:

Your answer is 1 solution

Answer:

opal : 5

lynette : 7.5 (7 hrs and 30 mins)

Step-by-step explanation:

Answer:

  144 ft³

Step-by-step explanation:

This "irregular shape" is a composite shape that can be considered to be any of these compositions:

The volume of any one of these blocks is the product of height, width, and depth. The above decompositions are evaluated here.

  V = HWD

  V = (2 ft)(3 ft)(6 ft) +(2 ft)(9 ft)(6 ft) = 36 ft³ + 108 ft³ = 144 ft³

__

  V = (4 ft)(3 ft)(6 ft) +(2 ft)(6 ft)(6 ft) = 72 ft³ +72 ft³ = 144 ft³

__

  V = (4 ft)(9 ft)(6 ft) -(2 ft)(6 ft)(6 ft) = 216 ft³ -72 ft³ = 144 ft³

Travis must use 144 ft³ of concrete to make the block.

Answer:

(–∞, 0) ∪ (1, ∞)

Step-by-step explanation:

From (0, 1) the graph goes down, or decreases. From (–∞, 0) ∪ (1, ∞) the graph goes up, or increases.

I hope this helps!

The function increases where the slope is positive.

The graph starts out by increasing: -infinity

The graph switches to decreasing at x = 0

The graph switches to increasing at x = 1

The graph increases until infinity

(-infinity, 0) U (1, infinity)

Correct Answer: Option 3

Hope this helps!

The estimated value is given by the expected value. The estimated number of clownfish in the store that have fin rot will be 216.

Binomial distributions consist of n independent Bernoulli trials.

[tex]X \sim B(n,p)[/tex]

Suppose we have random variable X pertaining to a binomial distribution with parameters n and p, then it is written as

The expected value of X is:

[tex]E(X) = np\\[/tex]

Nemo's fish store has 12 tanks of clownfish: each tank holds 30 fish.

He collects and inspects 5 fish from each tank and finds that 3 fish have fin rot

Then the estimated number of clownfish in the store that have fin rot.

The number of the clownfish in the store will be

n = 12 × 30

n= 360

Then the value of p will be

[tex]p= \dfrac{3}{5}\\\\p = 0.6[/tex]

Then the estimated number of clownfish in the store that have fin rot will be given by the expected value. Then we have

[tex]E(X) = 360 \times 0.6\\\\E(X) = 216[/tex]

Learn more about binomial distribution here:

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Answer:

Binomial distributions consist of n independent Bernoulli trials.

Suppose we have random variable X pertaining to a binomial distribution with parameters n and p, then it is written as

The expected value of X is:

Nemo's fish store has 12 tanks of clownfish: each tank holds 30 fish.

He collects and inspects 5 fish from each tank and finds that 3 fish have fin rot

Then the estimated number of clownfish in the store that have fin rot.

The number of the clownfish in the store will be

n = 12 × 30

n= 360

Then the value of p will be

Then the estimated number of clownfish in the store that have fin rot will be given by the expected value. Then we have

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

in each sample there were 50 students, in a group of 800 there would be 16 samples taken, if you divide the total amount of kids with Novemeber birthdays, 80 by the amount of samples, 16, youll learn that in each sample there are 5 students to have a birthday in november within each sample, hope this helps.

Answer:

UY = 20

WX = 15

VW = 15

Step-by-step explanation:

Given:  UVWXY ~ HDEFG

From inspection of the diagram, the corresponding sides are:

UV~HD

VW~DE

WX~EF

XY~FG

UY~HG

The only pair of sides that both have side lengths are XY and FG. Therefore, we can use these to figure out the scale factor of dilation.

XY = 10 and   FG = 20

⇒ FG/XY= 20/10 = 2

Therefore, HDEFG is an enlargement of UVWXY by a scale factor of 2

If HG = 40

⇒ UY = 40 ÷ 2 = 20

If EF = 30

⇒ WX = 30 ÷ 2 = 15

If DE = 30

⇒ VW = 30 ÷ 2 = 15

Answer:

UY = 20, WX = 15, VW = 15

Step-by-step explanation:

Step 1:  Determine the scale

XY = 10 and FG = 20

[tex]10/20 = 0.5[/tex]

Step 2:  Determine UY

We can determine UY by multipliying GF by 0.5 which will give us the upscaled ratio which will produce UY.

[tex]UY = GF * 0.5[/tex]

[tex]UY = 40 * 0.5[/tex]

[tex]UY = 20[/tex]

Step 3:  Determine WX

We can determine WX by multipliying FE by 0.5 which will give us the upscaled ratio which will produce WX.

[tex]WX = FE * 0.5[/tex]

[tex]WX = 30 * 0.5[/tex]

[tex]WX = 15[/tex]

Step 4:  Determine VW

We can determine VW by multipliying ED by 0.5 which will give us the upscaled ratio which will produce VW.

[tex]VW = ED * 0.5[/tex]

[tex]VW = 30 * 0.5[/tex]

[tex]VW = 15[/tex]

Answer: UY = 20, WX = 15, VW = 15

Answer:

12 inches

Step-by-step explanation:

Given

Formula for Volume of a Cylinder

Solving

Answer:

The height is 12 inches

Step-by-step explanation:

Step 1:  Determine the knowns a formula

[tex]Volume = 764\ in^3[/tex]

[tex]Diameter = 9\ in[/tex]

[tex]Formula: V = \pi r^2h[/tex]

Step 2:  Input the values and solve

[tex]V = \pi r^2h[/tex]

[tex]764\ in^3 = \pi (9/2\ in)^2h[/tex]

[tex]764\ in^3 = \pi (20.25\ in^2)h[/tex]

[tex]764\ in^3 =63.617\ in^2 * h[/tex]

[tex]\frac{764\ in^3}{63.617\ in^2} = \frac{63.617\ in^2 * h}{63.617\ in^2}[/tex]

[tex]12.0\ in = h[/tex]

Answer: The height is 12 inches

Answer:

Step-by-step explanation:

GIVEN:

To find the value of y, isolate it on one side of the equation.

2y-6-3y+5

Solutions:

First, add by 6 from both sides.

2y-6+6=3y+5+6

Solve.

Add the numbers from left to right.

5+6=11

2y=3y+11

Then, you subtract by 3y from both sides.

2y-3y=3y+11-3y

Solve.

-y=11

Divide by -1 from both sides.

-y/-1=11/-1

Solve.

Divide these numbers goes from left to right.

11/-1=-11

[tex]\Longrightarrow: \boxed{\sf{y=-11}}[/tex]

I hope this helps. Let me know if you have any questions.