angle QPS is a straight angle
angle QPR = 7x-4 degrees
angle RPS = 9x-40 degrees

Find: angle QPR

Answer:

option 4

Step-by-step explanation:

[tex]m \angle MNO = \frac{1}{2} \times m MN\\\\[/tex]

              [tex]= \frac{1}{2} \times 150 \\\\= 75^ \circ[/tex]

Answer:

17

Step-by-step explanation:

Answer:

394 m

Step-by-step explanation:

From the solution diagram attached ;

The distance between boat and base of hill is represented as d ;

Using the trigonometric relation :

Tan θ = opposite / Adjacent

Tan 13 = 91 / d

Tan 13 * d = 91

d = 91 / Tan(13)

d = 394.16 m

d = 394 m (nearest meter)

Answer:

The Answer is 120

Step-by-step explanation:

The answer is 120 because 5*24 is 120

Answer:

-8 degrees Celsius is warmer

Answer:

-8 degrees C.

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Since the bases are equal the powers also are equal

so

2x + 1 = x + 5

2x - x = 5 - 1

x = 4

Answer:

Step-by-step explanation:

its 21.4

Answer:

V = 960[tex]\pi[/tex] or 3015.93

Step-by-step explanation:

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

   = [tex](\pi) (8)^{2} (15)[/tex]

   = 960[tex]\pi[/tex] or 3015.93

Step-by-step explanation:

(5x⁴y⁵).(2x²y‐⁵)

5×2=10

x⁴×x²= x⁶

y⁵×y-⁵=y⁰

so the answer is 10x⁶y⁰

Answer:

16

Step-by-step explanation:

Vertical Angles are congruent (equal)

78 = 5x - 2

80 = 5x

16 = x

[tex] \orange{\underline{\huge{\bold{\textit{\green{\bf{QUESTION}}}}}}} [/tex]

James has 268 cookies to put into bags. Each bag holds 8 cookies.

If James uses as many of the cookies as possible, how many bags can he make, and how many cookies are left over?

[tex] \blue{\huge{\red{\boxed{\green{\mathfrak{FORMULA}}}}}} [/tex]

[tex] \tiny{ \tiny{NUMBER \: OF \: BOXES \: = \frac{TOTAL \: NUMBER \: OF \: COOKIES }{NUMBER \: OF \: COOKES \: EACH \: B AG \: CAN \: HOLD} }}[/tex]

[tex] \huge\mathbb{\red A \pink{N}\purple{S} \blue{W} \orange{ER}}[/tex]

[tex] \tiny{ \tiny{NUMBER \: OF \: BOXES \: = \frac{TOTAL \: NUMBER \: OF \: COOKIES }{NUMBER \: OF \: COOKES \: EACH \: B AG \: CAN \: HOLD} }}[/tex]

[tex] NUMBER \: OF \: BOXES = \frac{268}{8} = 33 \frac{4}{8} \\ NUMBER \: OF \: BOXES = 33 \: + 4 \: cookes \:[/tex]

[tex] \pink{Number \: of \: boxes = 33} \\ \orange {Number \: of \: cookes \: left = 268- 264 = 4}[/tex]

If he uses 4 cookes to make one more box then he will have -->

[tex]\pink{Number \: of \: boxes = 34}[/tex]

Answer: [tex]\frac{1}{5}[/tex]

Step-by-step explanation:

In the geometric sequence we can see each time we are dividing by 5. That is the same as multiplying by [tex]\frac{1}{5}[/tex] so that is the common ratio.

Answer:

There are at least two runners whose times are less than 9 seconds apart.

Step-by-step explanation:

Let's assume that Tₙ is the time of the n-th runner, we know that:

6 min < Tₙ < 7 min

knowing that:

1 min = 60 s

We can rewrite this as:

6*60 s < Tₙ < 7*60 s

360 s < Tₙ < 420 s

We know that there are 7 runners, and we want to see if we can conclude that there are two runners whose times are less than nine seconds.

So, the smallest time allowed in seconds is 361 seconds (the first value larger than 360 seg) while the largest time allowed is 419 seconds (the largest time allowed smallest than 420 seconds).

Now, let's assume that the first runner has the smallest time:

then:

T₁ = 361 s

Now let's add 9 seconds to the time of each runner (here we want to check that we can have all the runners with exactly 9 seconds apart in their times, so we will prove that the statement is false), then:

T₂ = 361s + 9s = 370s

T₃ = 370s + 9s = 379s

T₄ = 379s + 9s = 388s

T₄ = 388s + 9s = 397s

T₅ = 397s + 9s = 406s

T₆ = 406s + 9s = 415s

T₇ =  415s + 9s = 424s

But 424s > 420s

So this is not allowed (as the maximum time allowed was 419 s), so at least two of the runners must have times that are less than 9 seconds apart.

Then;  Can you conclude that there are two runners whose times are less than nine seconds apart? Yes.

Yes conclude that there are two runners whose times are less than nine seconds apart.

Given that,

Number of members = 7

Their mile times are all faster than 7 minutes but not faster than 6 minutes.

We have to determine,

Can you conclude that there are two runners whose times are less than nine seconds apart.

According to the question,

Let's assume that Tₙ is the time of the nth runner,

Then,

[tex]6 min < T_n < 7 min\\\\And \ 1 min = 60 s\\\\6\times 60 s < T_n < 7\times 60 s\\\\360 \ sec < T_n < 420 \ sec[/tex]

There are 7 runners, conclude that there are two runners whose times are less than nine seconds.

So, The smallest time allowed in seconds is 361 seconds (the first value larger than 360 seconds).

While the largest time allowed is 419 seconds (the largest time allowed smallest than 420 seconds).

Therefore,

Let's assume that the first runner has the smallest time:

T₁ = 361 s

Adding 9 seconds to the time of each runner to check that  all the runners with exactly 9 seconds apart in their times.

So, prove that the statement is false

Then:

[tex]T_2 = 361s + 9s = 370s\\\\T_3 = 370s + 9s = 379s\\\\T_4 = 379s + 9s = 388s\\\\T_5 = 388s + 9s = 397s\\\\T_6= 397s + 9s = 406s\\\\T_7 = 406s + 9s = 415s\\\\T_8 = 415s + 9s = 424s[/tex]

Here, [tex]424s>420s[/tex]

So, There is not allowed (as the maximum time allowed was 419 s), T least two of the runners must have times that are less than 9 seconds apart.

Therefore, Yes conclude that there are two runners whose times are less than nine seconds apart.

To know more about Probability click the link given below.

https://brainly.com/question/23431320

Answer:

It’s blurry but I think it’s an obtuse triangle

Step-by-step explanation:

Maybe a right triangle

Answer:

11.

Step-by-step explanation:

As the first decimal place is 5 we round up the whole number.

Answer:

11

Step-by-step explanation:

See image below:)

Answer:

B) 20

The minimum of a data set is the smallest term of that set.

We arrange the terms in ascending order

→ 20,20,25,30,35

So, the minimum is 20

--------------------------------

hope it helps...

have a great day!!

Answer:

8x-31 = 2x+92

Step-by-step explanation:

The angles are corresponding angles and corresponding angles are equal

8x-31 = 2x+92

Answer:

(1,3)

Step-by-step explanation:

This might be wrong, sorry.

y+4x=7

I would think the pair is

(1,3)

Answer:

x = -6

Step-by-step explanation:

-x/3 = 2

Multiply each side by -3 to isolate x

-x/3  * -3= 2*-3

x = -6

Answer:

x= -6

Step-by-step explanation:

you want to issolate x.

Start by getting rid of that divison by inversing it. The inverse of division is multiplication, so we multiply 2 by 3 to get 6.

Now -x= 6

in order for it to be truely isolated, we must inverse the negative sign.

its x= -6

Answer:

4

Step-by-step explanation:

Any polynomial of degree n has n roots

but we may need to use complex numbers

This is a 4th degree polynomial therefor:

4 roots

Answer:

43

Step-by-step explanation:

20 +6 = 26

26 + 6 = 32

32 + 6 = 38

38 + 6 = 44, not 43

Hope this helps!

Answer:

I think it is (D.)43

becuase if you add 6 to 38 it gives you 44

Hope this helps!!!!!!

9514 1404 393

Answer:

  (-7, -6)

Step-by-step explanation:

The solution to the system of equations is the point that is on both lines: their point of intersection. That point is (-7, -6).

Answer:

3 dollars

Step-by-step explanation:

15 divided by 5 is 3

so 3 dollars each

hope this helps!

add me as a friend if you want:)

Answer:

one way anova

Step-by-step explanation:

The answer to this question is the one way anova or the analysis of variance, the reason is because the One way anova statistical test is used to carry out comparisons between two groups or more in order to check if there is a statistically significant difference in their means. If the researcher wants to check if the groups differ, the one way anova test is the most appropriate test for him  to use.

Answer:

Slope is -3

y-intercept is -3 and equation is y=-3x-3

Answer:

Slope: -3

y-intercept: -3

Equation: y = -3x - 3

Step-by-step explanation:

1. To get the slope (m):

m = rise / run = -3 / 1 --> it's negative 3 since the slope is going downwards

2. the y-intercept is the point that crosses the y-axis or when the x point is 0, so (0, -3)

3. Put is all together: y = -3x - 3

Answer:

theres a few ways to go about this...

ten j plus, four, plus eightj SIMPLIFY eighteen j's plus four

orrrr

2 times 5j+2 times2+2times4j and combine like terms to get the above expression

Answer:

Option 2

Step-by-step explanation:

Like terms are terms with the same variable and the same power.

Let's analysis and write the equation of each model to see if which of them has like terms:

Option 1:

We have x x => 2x

1 1 1 => 3

Equation of model=> 2x + 3

2x and 3 are unlike terms

Option 2:

We have x x => 2x

x x x => 3x

Equation of model=> 2x + 3x

2x and 3x are like terms

Option 3:

We have x x x => 3x

1 1 1 => 3

Equation of model=> 3x + 3 (contains unlike terms)

Option 4:

We have x => x

1 => 1

Equation of model=> x + 1 (unlike terms)

✔️The second option is the answer