Jamie and Erika were in a race. Jamie could run 15 meters per second. Erika could only run 10 meters per second. So Jamie decided to give Erika a head start of 5 meters. After how many seconds will the two girls meet?

Answer:

D

Step-by-step explanation:

Pitágoras

A^2 = B^2 + C^2

A^2 = 14^2 +5^2

A^2 = 196 + 25

A = √221

Given:

The conic equation is:

[tex]2x^2+Cy^2+3x+5y+1=0[/tex]

To find:

The value of C such that the given conic equation make a parabola.

Solution:

The general for of conic equation is:

[tex]Ax^2+Cy^2+Dx+Ey+F=0[/tex]

This equation represents a parabola is either A=0 or C=0 but not both equal to zero.

The given equation is:

[tex]2x^2+Cy^2+3x+5y+1=0[/tex]

Here, coefficient of [tex]x^2[/tex] is A=2 and coefficient of [tec]y^2[/tex] is C.

Since A is not equal to 0, therefore C must be equal to 0 to form a parabola.

Therefore, the only value of C is 0.

Answer:

A) 923.6m^3

Step-by-step explanation:

[tex]V=\pi r^{2} h\\V=\pi 7^{2} 6\\V=923.6[/tex]

Answer:

10x^3 + x - 1

Step-by-step explanation:

(6x^3 -7x - 4) + (4x^3 + 8x + 3)

Combine like terms

6x^3 + 4x^3 = 10x^3

Combine like terms

-7x + 8x = x

Combine like terms

-4 + 3 = -1

Combine the results of the terms

10x^3 + x - 1

Answer:

The answer is below

Step-by-step explanation:

A triangle is a shape with three sides and three angles. There are different types of triangles such as isosceles, equilateral, scalene, obtuse, acute and right angled.

In a right angled triangle, the side with the longest length is known as the hypotenuse and this sides is always opposite to the right angle (90 degrees). Pythagoras states that the square of the hypotenuse is equal to the sum of the square of the remaining sides.

a) u² = h² + b²  (1)

t² = h² + a²     (2)

(a + b)² = t² + u²

(a + b)² = (h² + a²) + (h² + b²)

a² + b² + 2ab = 2h² + a² + b²

2h² = 2ab

h² = ab = 5(3) = 15

u² = h² + b² = 15 + 3² = 24

u = √24

b) u² = h² + b²  (1)

t² = h² + a²     (2)

(a + b)² = t² + u²

(a + b)² = (h² + a²) + (h² + b²)

a² + b² + 2ab = 2h² + a² + b²

2h² = 2ab

h² = ab = 4(2) = 8

h = √8

c) u² = h² + b²  (1)

t² = h² + a²     (2)

(a + b)² = t² + u²

(a + b)² = (h² + a²) + (h² + b²)

a² + b² + 2ab = 2h² + a² + b²

2h² = 2ab

h² = ab = 7(7) = 49

h = 7

u² = h² + b² = 7² + 7² = 98

u = √98

t² = h² + a² = 7² + 7²

t = √98

Answer:

tan B =  12 /5

sin B =  12/13

cos B =  5/13

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan B = opp/ adj = 12 /5

sin B = opp/hyp = 12/13

cos B = adj/hyp = 5/13

Answer:

Sine of B = 12/13

Cos of B = 5/13

Tan of B = 12/5

Step-by-step explanation:

In this case, the opposite is 12, the adjacent is 5 and the hypotenuse is 13.

sin is opposite/hypotenuse

cos is adjacent/hypotenuse

and

tan is opposite/adjacent

Answer:

The appropriate answer is "0.437".

Step-by-step explanation:

Given:

P(rain) = 0.14

then,

P(no-rain) = 1-P(rain)

                 = 1-0.14

                 = 0.86

P(delay) = 0.16

P(rain and on time) = 0.79

then,

By using the conditional probability, we get

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

or,

⇒ [tex]P(no \ rain|delay) = \frac{P(no \ rain \cap delay)}{P(delay)}[/tex]

By substituting the values, we get

⇒                             [tex]=\frac{0.07}{0.16}[/tex]

⇒                             [tex]=0.437[/tex]  

Answer:

f(3) = 326

Step-by-step explanation:

Given the function

f(n)=f(n-1)^2+2

If f(1) = 4

f(2) = f(1)^2 + 2

f(2) = 4^2 + 2

f(2) = 16 + 2

f(2) = 18

f(3) = f(2)^2 + 2

f(3) = 18^2 + 2

f(3) = 324 + 2

f(3) = 326

Answer:

y=6

Step-by-step explanation:

Let us start with the general equation of a line, y=mx+b. m represents the slope of the line, b represents the y intercept, and the y and x represents the values of the coordinate that the line passes through.

In this case, we know our line is parallel to y=-3, thus it has the same slope as it. Notice that in y=-3, there is no x. Therefore, the slope must be 0!

We now have equation:

[tex]y=0x+b[/tex]

Let us plug in the coordinate it passes through (2,6), to solve for b.

[tex]6=0*2+b\\6=b\\[/tex]

Now we have everything! Let us write the equation of the line now.

[tex]y=6[/tex]

I hope this helps! Let me know if you have any questions :)

Answer:

third one

Step-by-step explanation:

l 3q-2 l = 7

drop absolute value symbols and set up two equations

3q - 2 = 7    or   3q - 2 = -7

3q = 9                3q = -5

q = 3                     q = [tex]\frac{-5}{3}[/tex]

Answer:

3q-2=7

The two will move other side of equal sign from - 2 to +2

3q=7+2

3q=9

/3 in both side

q=3

Answer:

The blue 2 on the left is 10 times the value of the orange 2 on the right.

Step-by-step explanation:

Step-by-step explanation:

Hey there!

According to the question;

Mass of an object (m) = 630 kg

Volume of an object (v) = 7m³

We know that;

[tex]density = \frac{mass(kg) \: }{volume( {m}^{3} )} [/tex]

or, density = (630/7) kg/m³

Therefore, density of the substance is 90kg/m².

Hope it helps!

Answer: Quadrant 3

============================================================

Explanation:

pi radians = 180 degrees

If angle [tex]\theta[/tex] (greek letter theta) is in quadrant 1, then this places the angle in the northeast quadrant. Adding 180 degrees to theta will move it to the third quadrant, which is in the southwest.

Note: when incrementing through the quadrants (1,2,3,4) we move counterclockwise.

Answer:

225[tex]\pi[/tex]

or 706.86 rounded

Step-by-step explanation:

area of a circle is  [tex]\pi r^{2}[/tex](r=radius)

[tex]\pi r^{2}[/tex]

[tex]\pi 15^{2}[/tex]

[tex]\pi 225[/tex]

=225[tex]\pi[/tex]

Answer: [tex]0.00005[/tex]

Step-by-step explanation:

Given

The probability that a certain component in a communication satellite fails is 0.005.

There is an independent backup system, and the probability that is fails is 0.01

The probability that both the system fails is given by

[tex]\Rightarrow P=0.005\times 0.01\\\Rightarrow P=0.00005[/tex]

Answer and explanation:

Answer:

Two sample t test

Explanation:

The test that could be used here is the two sample t test. The two sample t test compares two groups to ascertain if there is an average significant different between the two groups being compared, also making sure the result of difference is not random. For instance to test the above example, the two sample t test compares the group before they watch the commercial with the group after the commercial to know if there is a significant difference between the two groups.

Answer:

4

Step-by-step explanation:

2/3x6=4

Answer:

5/13, 12/5, 12/13

Step-by-step explanation:

cos = adj/hyp

tan = opp/adj

sin = opp/hyp

hyp = 13

adj = 5

opp = 12

Plug in.

cos = 5/13

tan = 12/5

sin = 12/13

Answer:

A refund must be above $7,139 before it is audited.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 7010, standard deviation = 43.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

The empirical rule is symmetric, which means that the lowest (100-99.7)/2 = 0.15% is at least 3 standard deviations below the mean, and the upper 0.15% is at least 3 standard deviations above the mean.

Use the Empirical Rule to determine approximately above what dollar value must a refund be before it is audited.

3 standard deviations above the mean, so:

7010 + 3*43 = 7139.

A refund must be above $7,139 before it is audited.

Answer:

12

Step-by-step explanation:

cosine(7 radians ) =

0.75390225434

Answer:

3a-4ab-5

Step-by-step explanation:

(-ab+3a-3) - (3ab+2)

Distribute the minus sign

(-ab+3a-3) - 3ab-2

Combine like terms

3a-4ab-5

Answer:

[tex]-4ab+3a-5[/tex]

Step-by-step explanation:

Hi there!

[tex](-ab+3a-3) - (3ab+2)[/tex]

Open up the parentheses

[tex]-ab+3a-3- 3ab-2[/tex]

Combine like terms

[tex]-ab- 3ab+3a-3-2\\-4ab+3a-5[/tex]

I hope this helps!

Answer:

Rectangular pyramid and triangular pyramid

Step-by-step explanation:

A rectangular pyramid and triangular pyramid has the same number of faces as vertices

A pyramid is a three dimensional shape (has length, width and height) with a polygonal base and flat triangular faces.

A rectangular pyramid have same number of faces as vertices with each being 5 in number. A triangular pyramid have same number of faces as vertices with each being 3 in number.

Find out more on Pyramid at: https://brainly.com/question/25823102

Answer:

y=mx+b

Step-by-step explanation:

so that is b right?

that means its what number you start the y on

The answer to this question is:

2 ¾ inches.

Answer:

2

Step-by-step explanation:

(x + 6) - (3x - 6)               Remove the brackets.

x + 6 - 3x + 6                 Collect like terms

Difference in points = 12 - 2x

If x = 5 then

Difference in points = 12 - 2*5

Difference in points = 12 - 10

Difference in points = 2