x^{2} -17x-60=
please give me the answer

Answer:

all of them 1/3 is irrational

Step-by-step explanation:

Answer: The two quantities are equal

Step-by-step explanation:

Edge2021

C. The two quantities are equal

Step-by-step explanation:

Edge 2020 2021

The speed of current is [tex]\rm 2 \:km/h[/tex].

The relationship between distance, time and speed can be presented as:

[tex]\begin{aligned} \rm Distance &= Speed \times Time\\\\Speed &= \dfrac{\rm Distance}{Time} \\\\\rm Time &= \dfrac{\rm Distance}{\rm Speed} \end[/tex]

Calculations:

Given:

[tex]\begin{aligned} \rm Distance\: traveled\: on\: motorboat &= 25\:km\\\rm Speed\:of\:motorboat\:in\:still\:water &= 12\:km/h \end[/tex]  

Let the speed of the current be [tex]\rm x[/tex]

The speed of the boat traveling against the current is [tex]{(12 -\rm x) km/h}[/tex]

Time spent on motorboat is 10 hours less than time spent on raft.

Therefore:

[tex]\rm \dfrac{25km}{x\:km/h} - \dfrac{25km}{(12 - x)km/h} = 10[/tex]

The equation obtained will be:

[tex]\dfrac{25}{\rm x} - \dfrac{25}{(12-\rm x)} - = 10[/tex]

Multiplying both sides of the equation by [tex]\rm x(12 - x )[/tex]

[tex]\begin{aligned} \rm 25(12 - x) - 25x &= 10\times \rm x(12 - x)\\\\300 - 25x - 25x &= 120x - 10x^2\\\\300 - 50x &= 120x - 10x^2\\\\10x^2 - 120x - 50x + 300 &= 0\\\\10x^2 - 170x +300 &= 0\end[/tex]

Dividing the equation by 10

[tex]\rm x^2 - 17x + 30 = 0[/tex]

On factoring the equation,

[tex]\rm =x^2 - 2x -15x + 30 = 0\\\\=x(x - 2) -15(x - 2)\\\\=(x - 2)(x - 15)[/tex]

The values of x is 2 and 15.

Since speed of current i.e  [tex](12 -\rm x)km/h[/tex] cannot be negative, [tex]\rm x = 2[/tex] is the only acceptable value.

 Therefore the speed of current is 2 km/h.

Learn more about the topic here:

https://brainly.com/question/2292310

Answer:

Pretty sure it's x^2−3x+2/4x-16  

Step-by-step explanation:

Answer:

There is not enough statistical evidence to conclude that the cumulative incidence of prostrate cancer among 50-year old men differs from that of 70-year old men

Step-by-step explanation:

The population 10 year cumulative incidence of prostrate cancer among 70 year old men, p = 0.06

The number of 50 year old men in the sample, n = 260 men

The number of the sampled men that developed prostrate cancer = 13 men

The significance level, α = 0.05

Let the null hypothesis, H₀: [tex]\hat{p}[/tex] = p

The alternative hypothesis, Hₐ: [tex]\hat{p}[/tex] ≠ p

The standard score, [tex]z_{\alpha /2}[/tex] = 1.96

The test statistic, 'z', is given as follows;

[tex]z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p \cdot q}{n}}}[/tex]

[tex]\hat{p}[/tex] = 13/260 = 0.05

q = 1 - p = 1 - 0.06 = 0.94

[tex]Therefore, \ z=\dfrac{0.05-0.06}{\sqrt{\dfrac{0.06 \times 0.94}{260}}} = \dfrac{\sqrt{9165} }{141} \approx -0.68[/tex]

From the z-table, we find the p-value as follows;

P(z ≈ -0.68) = 0.24825

Therefore, given that the p-value, 0.24825 is larger than the significance level, α/2 = 0.025, we fail to reject the null hypothesis, and therefore, there is not enough statistical evidence to conclude that the cumulative incidence of prostrate cancer among 50-year old men differs from that of 70-year old men

Answer:

obviously 16 books....

Answer:

The common ratio in this sequence is 6:2 or 4:3

Step-by-step explanation:

hopes this heklps

Answer:

positive9/50

Step-by-step explanation:

9/50

Answer:

the answer is 9/50 (fraction).

Step-by-step explanation:

hope this helped!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answer:

A Triangular Prism    

Hope that helps!

Step-by-step explanation:

Answer: Triage

Step-by-step explanation:

Answer:

i think its b

Step-by-step explanation:

i might be wrong but i think its

[tex]4 \sqrt{3 } [/tex]

Answer:

y = -7.2x + 540

Step-by-step explanation:

to find the slope I used the x-and-y intercepts: (0, 540) and (75, 0)

slope = 540/-75 or -7.2

Answer:

it got to be b 2:2

Answer:

THE ANSWER SHOULD BE D OR B

Step-by-step explanation:

I DON'T KNOW

Answer:

9

Step-by-step explanation:

I replaced the missing variable with x and solved the equation from there.

Answer:

10.75

Step-by-step explanation:

i got this because the first part says 13 × 3/8 so this means that the numbers 2 × 3/8 + 3/8 + 3/8 and the unknown number have to equal 13. so when u multiply 2 x 3/8 you get .75 and then you add the two other numbers and get 1.5 and then you subtract 1.5 from 13 and you get 11.5

PHEWW

Answer:

27

Step-by-step explanation:

Answer:

its the 3rd one

Step-by-step explanation:

Answer:

$6.37

Step-by-step explanation:

You divide 2.80 by 20 to find the percentage of tax then you simply multiply your percentange by the cost. In this problem the tax was 14% or .14, so you multiply .14 by 45.50 to find the amount of tax on the purchase

Answer: I believe that is correct! good jobbb

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

You can use test intervals and critical numbers to solve quadratic and rational inequalities.

Answer:

(1,5)

Step-by-step explanation:

Hope this is right.

Answer:

It's (1,0)

Step-by-step explanation:

I got it right on the quiz

Answer: 50000000000 is your answer.

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

Hello There!

The first thing we need to do is find the formula for area of a trapezoid

The formula is

[tex]A=\frac{a+b}{2} h[/tex]

where a= base 1

b = base 2

and h = height

we are given all of the dimensions so all we have to do is plug them in

sp

[tex]A=\frac{12+4}{2} 4\\12+4=16\\\frac{16}{2} =8\\8*4=32[/tex]

so the area of the figure is

32 units ²

Answer:

32

Step-by-step explanation:

Find formula

A=a+b/2 h

a= base 1

b = base 2

h = height

Then plug everything in

32 units ²

Answer:120 and 160

Step-by-step explanation:

i did it

80° and 160° could be a measure of one of the resulting angles.

Two rays intersect to form a angle. The point of intersection is called the vertex point.

Given is that  two angles in a coordinate plane, one measuring 80° and the other measuring 160°, were both rotated 180° about the origin and then translated 40 units down.

There is no effect of rotation and translations on the angles. Hence, we can say that 80° and 160° could be a measure of one of the resulting angles.

Therefore, 80° and 160° could be a measure of one of the resulting angles.

To solve more questions on angles visit the link below-

brainly.com/question/1041084

#SPJ6

Answer:  y = 4x + 11

Step-by-step explanation:First, you put the equation into the standard “slope/intercept” form.

4x -y = 2 subtract 4x from both sides ; -y = -4x + 2 Multiply by -1 :

y = 4x - 2

In this standard form we see that the slope of the line (coefficient of x) is 4. ANY line parallel to this one must thus also have a slope of 4.

y = 4x - a (generic)

ANY other combination of slope multiples and constant terms will therefore also be lines parallel to this one. The one that passes through a specific point will simply have a different constant term.

We find this by putting our point value into the equation:

3 = 4(-2) + a ; 3 = -8 + a ; a = 11

Thus, our “parallel line equation” through the point (-2,3) is:

y = 4x + 11

Answer:

It's C. g(x) = (1.6)x − 9 + 5

Step-by-step explanation: hope it helps ^w^