Without graphing, determine the range of the function f(x) = -5|x-7|+2 over
the interval (-5,10).
A. [2 -62
B. [2, 17]
C. (17, 62]
D. (-7, 2]

Answer:

a) Brain sweep out 4 radians

b) Brian is -0.3922 km to the right of the center of the ski trail

c) Brian is -0.4541 km above of the center of the ski trail

Step-by-step explanation:

Given the data in the question;

circular ski trail radius = 0.6 km

Derek starts at the 3-o'clock position and travels 2.4 km in the counter-clockwise direction.

a) How many radians does Brian sweep out?

arc length = 2.4 km

from the diagram;

arc length = rθ

θ = arc length / r

θ = 2.4 / 0.6

θ = 4 radians

Therefore, Brain sweep out 4 radians

b) When Brian stops skiing, how many km is Brian to the right of the center of the ski trail?

from the diagram;

x = rcosθ

we substitute

x = 0.6 × cos(4)

x = 0.6 × -0.65364

x = -0.3922 km

Therefore Brian is -0.3922 km to the right of the center of the ski trail

c) When Brian stops skiing, how many km is Brian above of the center of the ski trail?

from the diagram;

m = rsinθ

m = 0.6 × -0.7568

m = -0.4541 km

Therefore, Brian is -0.4541 km above of the center of the ski trail

Answer:

A. -1/6

Step-by-step explanation:

The product of 7/8 and -4/21 is a.- 1/6.

In mathematics, a product is the result of multiplication, or an expression that identifies factors to be multiplied.

Now the given numbers are,

7/8 and -4/21

now taking 7/8 and since 8= 4*2

so, 7/8 = 7/(4*2)

Again taking -4/28 and since 28 = 7*4

so, -4/21 = -4/(7*3)

hence the product of 7/8 and -4/21 is given as,

7/8*(-4/21) = 7/(4*2) x -4/(7*3)

taking alike terms together we get,

7/8*(-4/28) = (7/7)(4/4)(-1/2*3)

⇒ 7/8*(-4/28) = -1/6

Hence the correct option is a.-1/6

Therefore,The product of 7/8 and -4/21 is a.- 1/6.

Learn more about product :

https://brainly.com/question/1549083

#SPJ6

Answer:

mid point=(x1 + x2)/2 (y1 + y2)/2

(-5+5)/2 and (-7+4)/2

0 and 1.5

midpoint=(0,1.5)

Step-by-step explanation:

c is an upside down parabola but it is not wide, it is very then so maybe e?

Answer:

a = ±10/9

Step-by-step explanation:

[tex]-100+81a^2=0\\81a^2=100\\a^2=\frac{100}{81}\\\sqrt{a^2}=\sqrt{\frac{100}{81} }\\a=10/9\\a=-10/9[/tex]

GOOD MORNING AND CONGRATULATIONS ON YOU GRADUATING :D

Answer: [tex]y=6x-7[/tex]

Step-by-step explanation:

We use the formula y=mx+b to put it into slope-intercept form

m=6 (slope)

b=-7 (y-intercept)

Therefore, the answer is y=6x-7

Answer:

The answer is 16

Step-by-step explanation:

Hi there!

The angles shown are supplementary

Supplementary angles have a measure of 90 degrees

This means that 3x + 5 + 37 = 90

3x + 5 + 37 = 90

Combine like terms

3x + 42 = 90

Take away 42 from each side

3x = 48

Divide by 3

x = 16

Hope this helps! :)

Answer:

O B) 16

Step-by-step explanation:

90° (total) - 37° = 53°

(3x+5) = 53°

(3x-5)  = -5°         Subtract 5 from both sides!

3x = 48               Solve

x = 16

Answer:

[tex]\begin{array}{ccc}{Industry} & {Frequency} & {RF}& {Bank} & {26} & {13\%}& {Cable} & {44} &{22\%} & {Car} & {42} & {21\%} &{Cell} & {60} & {30\%} & {Collection} & {28} & {14\%} &{Total} & {200} & {100\%}\ \end{array}[/tex]

Step-by-step explanation:

Given

[tex]n =200[/tex]

[tex]Bank = 26; Cable = 44; Car = 42; Cell = 60; Collection = 28[/tex]

Required

The frequency relative frequency table

The frequency table is as follows:

[tex]\begin{array}{cc}{Industry} & {Frequency} & {Bank} & {26} & {Cable} & {44} & {Car} & {42} & {Cell} & {60} & {Collection} & {28} & {Total} & {200} \ \end{array}[/tex]

Relative frequency (RF) is calculated using:'

[tex]RF = \frac{Frequency}{Total} * 100\%[/tex]

So, we have:

[tex]Bank = \frac{26}{200} * 100\% = 13\%[/tex]

[tex]Cable = \frac{44}{200} * 100\% = 22\%[/tex]

[tex]Car = \frac{42}{200} * 100\% = 21\%[/tex]

[tex]Cell = \frac{60}{200} * 100\% = 30\%[/tex]

[tex]Collection = \frac{28}{200} * 100\% = 14\%[/tex]

So, we have:

[tex]\begin{array}{ccc}{Industry} & {Frequency} & {RF}& {Bank} & {26} & {13\%}& {Cable} & {44} &{22\%} & {Car} & {42} & {21\%} &{Cell} & {60} & {30\%} & {Collection} & {28} & {14\%} &{Total} & {200} & {100\%}\ \end{array}[/tex]

Answer:

5 no i am not preety sure though

Answer:

the answer is B on edge

Step-by-step explanation:

to the other person , .. that's not a fricking answer

Answer:

f(x)=7x+11

Step-by-step explanation:

15-4-7x= 7x+11. Sp y or f(x)= 7x+11

Answer:

General equation of line is y=mx+c where m is the slope

Slope of line parallel to x-axis is m=0

So y=(0)x+c⟹y=c

(−4,6) lies on our required line y=c

⟹6=0(−4)+c

⟹c=6

Equation of the line is y=6

Step-by-step explanation:

Answer:

the answer is 125. if you cut them slice to slice you'll get 25 because of there five slices of 25 all you got to do is 25 x 5 and you'll get 125.

Hope this help

Have a nice day :)

Answer:

26w

Step-by-step explanation:

Answer:

well, just put in 10 instead of n, after all we want the 10th, not the n'th

3*10 -1 = 29

simple as that.

hope it helps you. if you got further questions just put them in a comment:)

Answer: it’s a triangle

Step-by-step explanation:

Answer:

triangle

Step-by-step explanation:

Answer:

C. ⁸/125

Step-by-step explanation:

The volume of the right rectangular prism = 8 × volume of 1 cube

Volume of cube = a³

Where,

a = ⅕ inch

Volume of 1 cube = (⅕)³

= 1/125 cubic inch

✔️Volume of the rectangular prism = 8 × ¹/125

= ⁸/125 cubic inch

Answer:

Step-by-step explanation:

You have the domain. It is given as -1≤x≤1

Now all you have to do is figure out the range which is the y value. At first glance I think it might be 3, but that does not look very logical. I'll post this much of it now and be back in under an hour with a more complete answer.

Of course! How silly of me. There is a minimum of y = 1 in the range which comes from x = 0

I've included a graph so you can see how this all works.

So the range = 1 ≤ y ≤ 3

Answer:

250

Step-by-step explanation:

85% · n = 212.5

[convert 85% to .85]

.85n = 212.5

n = 212.5/.85

n = 250

Answer: 350 adult tickets

Step-by-step explanation:

(omg I remember this question!)

student tickets : a + 65

the equation for the prob:

765 = a + (a + 65)

solve:

combine 'like terms'

1.) 765 = a + a + 65

2.) 765 = 2a + 65

- 65         - 65

700= 2a

divide by 2

700/2 = 2a/2

(700/2 = 350)

(the "2" in 2a is cancelled out by the other 2)

350 = a

Answer:

It should be 33 degrees!

Step-by-step explanation:

This can be found out when we realize that all complimentary degrees add up to 90!

Answer:

33 degrees

Step-by-step explanation:

Solution :

The expected matrix is :

[tex]$E_i=\frac{(\text{row total } \times \text{column total})}{\text{grand total}}$[/tex]            Honors        Regular       General

     6 th grade                                       33.0986      46.0070      14.8944

     7 th grade                                       34.8592      48.4542       15.6866

     8 th grade                                       32.0423      44.5387       14.4190

Thus we can say that the level of math is not dependent on the grade level.

Therefore, the provided information is correct. Test Stat = 1.4007, p-value = 0.844070419

[tex]H_0[/tex] : The level of math is independent of the grade level.

[tex]H_1[/tex] : The level of math is dependent on the grade level.

Answer:

x = 22

y = 6

Step-by-step explanation:

GIVEN :-

TO FIND :-

GENERAL CONCEPT TO BE USED IN THIS QUESTION :-

SOLUTION :-

In the figure given in the question , ∠FBE & ∠FBD are linear pair.

⇒ (3x - 2)° + (5x + 6)° = 180°

⇒ 8x + 4 = 180

⇒ 8x = 176

⇒ x = 22°

Also , AB⊥CF.

⇒ ∠ABE & ∠FBE are complementary angles.

⇒ (4y + 2)° + (3x - 2)° = 90°

⇒ 4y + (3×22) = 90   [∵ Putting x = 23]

⇒ 4y + 66 = 90

⇒ 4y = 24

⇒ y = 6

9514 1404 393

Answer:

  8

Step-by-step explanation:

The number of servings can be found by dividing the quantity available by the amount per serving.

  (6 cups)/(3/4 cup/serving) = (6)(4/3) servings = 8 servings

Answer:

x = (k - c)/8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

8x + c = k

Step 2: Solve for x

Answer:

[tex]x = \frac{k -c}{8}[/tex]

Step-by-step explanation:

[tex]8x + c = k\\\\8x + c-c = k -c \ \ \ \ \ \ \ \ \ [\ subtract \ c \ from \ both \ sides \ ]\\\\8x = k - c\\\\\frac{8x}{8} = \frac{k-c}{8} \ \ \ \ \ [ \ divide \ both \ sides\ by\ 8 \ ]\\\\x = \frac{k-c}{8}[/tex]

Answer:

Step-by-step explanation:

(a - b)(a +b) = a² - b²

1 - Sin² A = Cos² A

[tex]LHS = \frac{1}{1- Sin A} + \frac{1}{1 + Sin A}\\\\= \frac{1*(1 + Sin A)}{(1- Sin A)(1 + Sin A)} + \frac{1*(1- Sin A)}{(1 + Sin A)(1- Sin A)}\\\\= \frac{1 + Sin A+ 1 - Sin A}{1^{2}- Sin^{2} A}\\\\= \frac{2}{1 - Sin^{2} A}\\\\= \frac{2}{Cos^{2} A}\\\\= 2 Sec^{2} A[/tex]

2)  Sec² A - Tan² A = 1

[tex]LHS = \frac{1}{Sec A - Tan A}\\\\=\frac{1*(Sec A + Tan A)}{(Sec A - Tan A)(Sec A + Tan A)}\\\\=\frac{Sec A + Tan A}{Sec^{2} A - Tan^{2} A}\\\\=\frac{Sec A + Tan A }{1}\\\\= Sec A + Tan A = RHS\\\\\\[/tex]

3) LHS  = Cosec² A + Cot² A

             = Cosec² A +  Cosec² A - 1

            = 2Cosec² A - 1   = RHS

[tex]4) LHS = \frac{Sec A}{Cos A}- \frac{Tan A}{Cot A}\\\\ = Sec A*\frac{1}{Cos A}-Tan A*\frac{1}{Cot A}\\\\ = Sec A * Sec A - Tan A * Tan A\\\\= Sec^{2} A - Tan^{2} A \\\\= 1[/tex]

Answer:

30

Step-by-step explanation:

this is a right-angled triangle.

as we can see on the graph and the coordinate units,

AB = 4

BC = 7

=>

AC² = AB² + BC² = 4² + 7² = 16+49 = 65

AC = sqrt(65)

now, in every triangle there are certain ratios equal to each other.

a/sin(A) = b/sin(B) = c/sin(C)

a is here BC

b is here AC

c is here AB

and we know B = 90 degrees

sin(90) = 1

so, we have

sqrt(65)/1 = 4/sin(C)

sqrt(65) = 4/sin(C)

sin(C) = 4/sqrt(65) = 0.496138938...

C = 29.7448813...

the closest answer option is 30.

Answer:

h

Step-by-step explanation:

19 blocks

Answer:

original blocks  =19

Step-by-step explanation:

original blocks -7 =12

Add 7 to each side

original blocks -7+7 =12+7

original blocks  =19