Can someone do #2?❤️

Answer:

The speed of the Snuggles is 480 kilometers per hour.

Step-by-step explanation:

The speed of the train ([tex]v[/tex]), in meters per second, is the sum of the length of the tunnel ([tex]L[/tex]), in meters, plus the length of the train ([tex]l[/tex]), in meters, divided by time taken by vehicle to cross the tunnel completely ([tex]t[/tex]), in seconds:

[tex]v = \frac{l+L}{t}[/tex] (1)

If we know that [tex]l = 1000\,m[/tex], [tex]L = 3000\,m[/tex] and [tex]t = 30\,s[/tex], then the speed of the train is:

[tex]v = \frac{l+L}{t}[/tex]

[tex]v = \frac{1000\,m + 3000\,m}{30\,s}[/tex]

[tex]v = 133.333\,\frac{m}{s}[/tex]

A kilometer per hour equals 3.6 meters per second. By unit conversion, we conclude that speed of the train is:

[tex]v = 479.998\,\frac{km}{h}[/tex]

The speed of the Snuggles is 480 kilometers per hour.

Answer:

$ 2,600 was invested at 4% and $ 3,600 was invested at 9%.

Step-by-step explanation:

Given that in investing $ 6,200 of a couple's money, a financial planner put some of it into a savings account paying 4% annual simple interest, and the rest was invested in a riskier mini-mall development plan paying 9% annual simple interest, and the combined interest earned for the first year was $ 428, to determine how much money was invested at each rate, the following calculation must be performed:

3000 x 0.04 + 3200 x 0.09 = 408

2500 x 0.04 + 3700 x 0.09 = 433

2600 x 0.04 + 3600 x 0.09 = 428

Therefore, $ 2,600 was invested at 4% and $ 3,600 was invested at 9%.

Answer:

3 e^t/2 + 4 = 27

e^t/2 = 23 / 3

Taking natural log of both sides

t/2 = ln 23/3 = ln 7.667 = 2.037

t = 4.074

Check:

3 e^4.074/2 + 4 = 27

27 = 27

Answer:

y ≥  x^2 - 1

Step-by-step explanation:

First, we can see that the shaded region is above what seems to be a parabola, and we also can see that the lines of the parabola are solid lines (which means that the points on the curve itself are solutions, so the symbol ≥ is used)

Then:

y ≥ a*x^2 + b*x + c

where a*x^2 + b*x + c is the general quadratic equation.

Now let's find the equation for the parabola:

f(x) = a*x^2 + b*x + c

We also can see that the vertex of the parabola is at the point (0, -1)

This means that:

f(0) = -1 = a*0^2 + b*0 + c

     = -1 = c

then we have that c = -1

Then:

f(x) = a*x^2 + b*x - 1

Now we can look at the graph again, to see that the zeros of the parabola are at +1 and -1

Which means that:

f(1) = 0 = a*1^2 + b*1 - 1 = a + b - 1

f(-1) = 0 = a*(-1)^2 + b*(-1) - 1 = a - b - 1

Then we got two equations:

a + b - 1 = 0

a - b - 1 = 0

from this we can conclude that b must be zero.

Then:

b = 0

and these equations become:

a - 1 = 0

a - 1 = 0

solving for a, we get:

a = 1

Then the quadratic equation is:

f(x) = 1*x^2 + 0*x - 1

f(x) = x^2 - 1

And the inequality is:

y ≥  x^2 - 1

Answer:

B, 300,00

3-1st

4-10th

2-100th

1- 1000th

9-10,000th

3-100,000th

Answer:

B. 300,000

Step-by-step explanation:

6 19/24

Step-by-step explanation:

I can't really explain things properly, but I hope it helps

[tex]\boxed{\large{\bold{\blue{ANSWER~:) }}}}[/tex]

It is given that,

→ 10(2x-3) = 10

Then find required value of x,

→ 10(2x-3) = 10

→ 20x-30 = 10

→ 20x = 10+30

→ 20x = 40

→ x = 40/20

→ [x = 2]

Hence, the value of x is 2.

The solution of the equation 3x² + 17x - 6 = 0 are, x = 1/3 and x = - 6.

An algebraic equation with the second degree of the variable is called an Quadratic equation.

We have to given that;

The quadratic equation is,

⇒ 3x² + 17x - 6 = 0

Now, We can solve the equation as;

⇒ 3x² + 17x - 6 = 0

⇒ 3x² + (18 - 1)x - 6 = 0

⇒ 3x² + 18x - x - 6 = 0

⇒ 3x (x + 6) - 1 (x + 6) = 0

⇒ (3x - 1) (x + 6) = 0

This gives two solutions,

⇒ 3x - 1 = 0

⇒ x = 1/3

And, x + 6 = 0

⇒ x = - 6

Learn more about the quadratic equation visit:

brainly.com/question/1214333

#SPJ2

Answer:

99, 113

Step-by-step explanation:

X-the first bus

X+14-the second bus

5x+5(x+14)=1060

10x+70=1060

10x=990

X=99-the first bus

99+14=113-the second bus

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{15 - 7x = 14}[/tex]

[tex]\large\text{-7x + 15 = 14}[/tex]

[tex]\underline{\large\text{SUBTRACT 15 to BOTH SIDES}}[/tex]

[tex]\large\text{-7x + 15 - 15 = 14 - 15}[/tex]

[tex]\underline{\underline{\large\text{CANCEL out: 15 - 15 because that gives you 0}}}[/tex]

[tex]\underline{\underline{\large\text{KEEP: 14 - 15 because that helps solve for the x-value}}}[/tex]

[tex]\large\text{14 - 15 = \bf -1}[/tex]

[tex]\underline{\underline{\underline{\large\text{NEW EQUATION: -7x = -1}}}}[/tex]

[tex]\underline{\large\text{DIVIDE -7 to BOTH SIDES}}[/tex]

[tex]\mathsf{\dfrac{-7\mathsf{x}}{-7}=\dfrac{-1}{-7}}[/tex]

[tex]\underline{\underline{\large\text{CANCEL out: } \dfrac{-7}{-7} \large\text{ because that gives you 1}}}[/tex]

[tex]\underline{\underline{\large\text{KEEP: }\dfrac{-1}{-7}\large\text{ because helps you get the x-value}}}[/tex]

[tex]\mathsf{x = \dfrac{-1}{-7}}[/tex]

[tex]\mathsf{x = \dfrac{-1\div-1}{-7\div-1}}[/tex]

[tex]\mathsf{x =\bf \dfrac{1}{7}}[/tex]

[tex]\boxed{\boxed{\large\text{Therefore, your answer is: \bf x = }\bf \dfrac{1}{7}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

0.013 = 1.3% probability that fifteen employees must be tested in order to find three positives.

Step-by-step explanation:

For each employee, there are only two possible outcomes. Either they test positive, or they do not. The probability of an employee testing positive is independent of any other employee, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

40% of the employees have positive indications of asbestos in their lungs

This means that [tex]p = 0.4[/tex]

Find the probability that fifteen employees must be tested in order to find three positives.

2 during the first 14(given by P(X = 2) when n = 14).

The 15th is positive, with 0.4 probability. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 2) = C_{14,2}.(0.4)^{2}.(0.6)^{12} = 0.0317[/tex]

0.0317*0.4 = 0.013.

0.013 = 1.3% probability that fifteen employees must be tested in order to find three positives.

Answer:

6 samples

Step-by-step explanation:

Given :

Sample size, = n

Standard deviation, = 6000

Margin of Error = 2000

Confidence interval, α = 95%

Zcritical at 95% = 1.96

n = (Zcritical * σ) / margin of error

n = (1.96 * 6000) /2000

n = 11760 / 2000

n = 5.88

n = 6 samples

Answer:

[tex]20\sqrt{6}[/tex]

Step-by-step explanation:

In all 30-60-90 triangles, the side lengths are in the ratio [tex]x:x\sqrt{3}:2x[/tex], where [tex]2x[/tex] is the hypotenuse and [tex]x[/tex] is the side opposite to the 30 degree angle. Therefore, the hypotenuse of the 30-60-90 triangle (left) is [tex]2\cdot 10\sqrt{3}=20\sqrt{3}[/tex]. This hypotenuse also represents one leg of the 45-45-90 triangle.

In all 45-45-90 triangles, the side lengths are in ratio [tex]x:x:x\sqrt{2}[/tex] where [tex]x\sqrt{2}[/tex] is the hypotenuse of the triangle. Therefore, since [tex]x[/tex] is the hypotenuse of the triangle marked and [tex]20\sqrt{3}[/tex] is one of the legs, the value of [tex]x[/tex] must be:

[tex]20\sqrt{3}\cdot \sqrt{2}=\boxed{20\sqrt{6}}[/tex]

Answer:

[tex]x = 20\sqrt6[/tex]

Step-by-step explanation:

The triangle with the side that has a measure of ([tex]10 \sqrt{3}[/tex]) is a (30 - 60 - 90) triangle. This means that its angles are (30), (60), and (90) degrees. One property of a (30 - 60 -90) triangle is the ratio of its sides. This ratio, in simple terms, can be defined as the following:

angle : opposite side

[tex]30 : z\\60 : z\sqrt{3}\\90 : 2z[/tex]

Use this property here to find the measure of the side opposite the (90) degree angle, that is shared between the two triangles.

This side is opposite the (30) degree angle, therefore, multiply this side by (2) will yield the measure of the side opposite the (90) degree angle. Therefore the side opposite the (90) degree angle has the following measure:

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

The triangle with a side of (x) is a (45 - 45 - 90) triangle. This means that its angles have a measure of (45 - 45 - 90). The ratios of the sides of a (45 - 45 - 90) triangle are as follows:

angle : opposite side

[tex]45:y\\45:y\\90:y\sqrt{2}[/tex]

Apply this ratio here; multiply the side shared between the (30 - 60 - 90) triangle and (45 - 45- 90) triangle by ([tex]\sqrt{2}[/tex]) in order to get the side with a measure of (x). When this is done, one gets the following result:

[tex]x = 20\sqrt{3}*\sqrt{2}\\x = 20\sqrt{6}[/tex]

Answer:

115

Step-by-step explanation:

The opposite angles (115degree angle and angle 4) are equal.

Angle 3=65

Angle 4=115

Angle 5=115

Angle 6=65

Angle 7=65

Angle 8=115

Brainliest please~

Answer:

$150,000

Step-by-step explanation:

The principle is 600,000.

The rate is 10%.

The time is 2.5 years.

The formula for finding the S.I (Simple Interest) is (Principle (P) * Time (T) * Rate (R)  = (600,000 * 2.5 * 10)/100 = 150,000

Therefore, the simple interest is $150,000.  

Answer:

The slope is 2

Step-by-step explanation:

The Slope formula is y2-y1/x2-y1.

1. Plug the numbers into the slope equation which is 1-(-5)/4-1=2

Answer:

b) LeBron is relatively taller because he has a larger z-score.

Step-by-step explanation:

Z-score:

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

LeBron James:

Height of 81 inches, while the average 30- to 39-year old man is 69.5 inches tall, with a standard deviation of 2.7 inches, which means that we have to find Z when [tex]X = 81, \mu = 69.5, \sigma = 2.7[/tex]

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{81 - 69.5}{2.7}[/tex]

[tex]Z = 4.26[/tex]

Candace Parker:

Height of 76 inches, while the average 30- to 39-year old woman is 64.2 inches tall, with a standard deviation of 3.2 inches. This means that we have to find Z when [tex]X = 76, \mu = 64.2, \sigma = 3.2[/tex]

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{76 - 64.2}{3.2}[/tex]

[tex]Z = 3.69[/tex]

Who is relatively taller?

Due to the higher z-score, LeBron James, and thus, the correct answer is given by option b.

Answer:

you can make 3 outfits

Step-by-step explanation:

because,if you just have 3 shoes aotomaticly you just wear 3 shirt and 3 pants.

for the socks, one people wear 2 socks so there you have 3 outfits

Answer:

[tex]810[/tex]

Step-by-step explanation:

For each shirt, there are 6 different pairs of pants to pair with it. For each of these pairs of pants, there are 3 different shoes to pair and so on.

Therefore, there are [tex]5\cdot 6\cdot 3\cdot 9=\boxed{810}[/tex] combinations you can make.

Answer:

A=0

Step-by-step explanation:

DAC=BAD

A=0

Answer:

A. 9

Step-by-step explanation:

First find the slope (m) using two given pairs of values form the table, say (1, 6) and (2, 3):

Slope (m) = change in y/change in x

Slope (m) = (3 - 6)/(2 - 1) = -3/1

Slope (m) = -3

Next, substitute (1, 6) = (x, y) and m = -3 into y = mx + b and solve for y-intercept (b).

Thus:

6 = -3(1) + b

6 = -3 + b

Add 3 to both sides

6 + 3 = -3 + b + 3

9 = b

b = 9

y-intercept = 9

a perfect square trinomial, (x + y)² = x² + 2xy + y²

so, if we have the x of the bx, what is left is the b

the expression would have to be (x + 7)², since we have the 49 and the x²

so, what's left: x² + 14x + 49,

b = 14

hope it helps :)

Answer:

The solutions of this system of equation is (-5,3) and (-1,-5).

Answer: (-3,-1) and (-5,3)

Step-by-step explanation:

Answer:

[tex] a = 3\sqrt{6} [/tex]

Step-by-step explanation:

θ = 30°

Opposite side length to θ = 3√2 in.

Adjacent side length = a

Apply the trigonometric ratio, TOA:

[tex] tan(\theta) = \frac{Opp}{Adj} [/tex]

Plug in the known values

[tex] tan(30) = \frac{3\sqrt{2}}{a} [/tex]

Multiply both sides by a

[tex] a*tan(30) = 3\sqrt{2} [/tex]

[tex] a*\frac{1}{\sqrt{3}} = 3\sqrt{2} [/tex] (tan 30 = 1/√3)

Multiply both sides by the inverse of 1/√3 which is √3

[tex] a = 3\sqrt{2}*\sqrt{3} [/tex]

[tex] a = 3\sqrt{2*3} [/tex]

[tex] a = 3\sqrt{6} [/tex]

Answer is 24

Step by step:

2,3,16

Let the fourth proportion be x

2/3 = 16/x

or, 2x = 3×16

or, x = 3×16/2

or, x = 3×8

or, X = 24

Answer:

[tex](x + 3)(x - 2)(x - 1)[/tex]

Step-by-step explanation:

[tex] {x}^{3} - 7x + 6[/tex]

Factor using Rational Root Theorem.

This means our possible roots are

positve or negative (1,2,3,6). If we try positve 1, it is indeed a root.

This means that

[tex](x - 1)[/tex]

is a root.

We can divide the top equation by the root (x-1). Our new equation is

[tex]( {x}^{2} + x - 6)[/tex]

Now we can factor this completely

[tex](x + 3)(x - 2)[/tex]

So this equation in factored form is

[tex](x + 3)(x - 2)(x - 1)[/tex]

Answer:

C

Step-by-step explanation:

The profit (in thousands of dollars) of a company is given by the function:

[tex]\displaystyle P(x) = -8x^2+32x+14[/tex]

And we want to find the maximum profit of the company.

Since the function is a quadratic with a negative leading coefficient, the maximum profit will occur at its vertex. Recall that the vertex of a quadratic is given by:

[tex]\displaystyle \text{Vertex} = \left(-\frac{b}{2a}, f\left(-\frac{b}{2a}\right)\right)[/tex]

Find the x-coordinate of the vertex. In this case, a = -8, b = 32, and c = 14. Hence:

[tex]\displaystyle x=-\frac{(32)}{2(-8)}=\frac{32}{16}=2[/tex]

To find the maximum profit, substitute this value back into the function. Hence:

[tex]\displaystyle P(2) = -8(2)^2+32(2) + 14 = 46[/tex]

Therefore, the maximum profit of the company is 46 thousand dollars.

Our answer is C.

Answer:

11/2

Step-by-step explanation:

Given 12x+16y=11

Halving both sides gives 6x+8y=11/2.

Answer:

0.045 = 4.5% probability a selected component is defective

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

Probability of a defective component:

4% of 50%(shipment I)

5% of 50%(shipment II). So

[tex]p = 0.04*0.5 + 0.05*0.5 = 0.045[/tex]

0.045 = 4.5% probability a selected component is defective

9514 1404 393

Answer:

  x = 36

Step-by-step explanation:

The interior angle at E is (180-2x). The interior angle at F is (180-4x). The sum of the interior angles of the triangle is 180, so we have ...

  (180 -2x) +x +(180 -4x) = 180

  180 = 5x . . . . . . add 5x-180 to both sides

  36 = x . . . . . . . divide by 5

__

Additional comment

This value of x makes the exterior angles at E and F be 72° and 144°, respectively. The internal angles at E, F, G are then 108°, 36°, 36°, making the triangle isosceles with EF = EG.

Answer:

53.24 in

Step-by-step explanation:

sin(theta) = perpendicular/hypotenuse

sin(33)=29/hypotenuse

hypotenuse=29/sin(33)=53.24 in