Use the given figure to name each of the following:

13. A right angle

14. All the acute angles

15. All the obtuse angles

16. Common side of ZEOG and ZGOH

17. Common side of ZDOF and ZFOG

18. Two angles that do not have a common side

19. All angles whose common side is OH​

The exponential function which represent the graph shown in image is f(x)=2.(1/4)ˣ. Option C is correct.

Exponential function is the function in which the function growth or decay with the power of the independent variable. The curve of the exponential function depends on the value of its variable.

The exponential function with dependent variable y and independent variable x can be written as,

f(x)=a.bˣ

Here, x is the variable in the power of a number, b is a constant which is known as the change factor and a is the initial value of the function.

Here, in the graph, it passes from the (0,2) and (2,0) from x and y axis. it tells us that the initial value of is 2.

a=2

The graph is plotted on right side in opposite way, which tells the value of b is in the reciprocal. Thus,

b=1/4.

Put the values as,

f(x)=a.bˣ

f(x)=2.(1/4)ˣ

Hence, the exponential function which represent the graph shown in image is f(x)=2.(1/4)ˣ. Option C is correct.

Learn more about the exponential function here;

https://brainly.com/question/15602982

#SPJ1

Answer:

x2-2x=58

Step-by-step explanation:

(x-14)(x+2)=30

x2+2x-14x-28=30

x2+2x-14x=28+30

x2-2x=58

Answer:

There is a negitve corrilation because as time increases speed decreases

Step-by-step explanation:

The total area of the given figure will be 66 square cm.

The space occupied by any two-dimensional figure in a plane is called the area. Here we have three shapes a triangle, a rectangle and a parallelogram.

Total area = Area of triangle + Area of rectangle + Area of parallelogram

Total area = [(1/2) x 4 x7]   +  [4  x  5]  + [ 4   x   8 ]

Total area =  14+20+32

Total area = 66 square cm

Hence the total area of the given figure will be 66 square cm.

To know more about the area follow

https://brainly.com/question/24375372

#SPJ1

Answer:

5 number summary hulaan mo hhahah 82 56 92 78 68

Answer:

y = 1

Step-by-step explanation:

Given:

Substitute point (1, 1) into the given equation of the parabola to find q:

[tex]\begin{aligned}\textsf{At}\:(1,1)\implies a(1-1)^2+q &=1\\a(0)^2+q &=1\\q &=1\end{aligned}[/tex]

Substitute the found value of q and point (-1, -9) into the given equation of the parabola to find a:

[tex]\begin{aligned}\textsf{At}\:(-1,-9)\implies a(-1-1)^2+1 &=-9\\a(-2)^2+1 &=-9\\4a+1 &=-9\\4a &=-10\\a &=-\dfrac{5}{2}\end{aligned}[/tex]

Therefore, the equation of the parabola is:

[tex]y=-\dfrac{5}{2}(x-1)^2+1[/tex]

The maximum or minimum point on a parabola is the vertex.

Vertex form of a parabola: [tex]y=a(x-h)^2+k[/tex]  where (h, k) is the vertex.

Therefore, the vertex of the parabola is (1, 1) and so the maximum value of y = 1

Vertex at (1,q)

There is a point already given from which parabola passes through its (1,1)

Hence

Equation:-

Now put (-1,-9)

a is negative hence parabola is opening downwards

So

vertex is maximum

Max value

Answer:

The product of a number and 45

Step-by-step explanation:

Answer:

the product of a number and 45

Step-by-step explanation:

i just finished the quiz

Step-by-step explanation:

x = 3

y = - 2

z = 6

[tex]7xyz[/tex]

Solution,

= 7 × 3 ( - 2 ) × 6

= 21 ( - 2 ) × 6

= - 42 × 6

= - 252

hence the answer is - 252....

Answer:

when sketching the curves of functions.

Step-by-step explanation:

There is a wide range of graph that contain asymptotes and that includes rational functions, hyperbolic functions, tangent curves, and more. Asymptotes are important guides when sketching the curves of functions. This is why it’s important that we know the properties, general forms, and graphs of each of these asymptotes.

Answer:

About 588 students.

Step-by-step explanation:

78% = 0.78

Therefore, we can conclude the following:

78% of 754 = 754 * 0.78 = 588.12

Reason:

When rotating a point 180 degrees around the origin, you use the rule

[tex](x,y) \to (-x,-y)[/tex]

We flip the sign of each coordinate from positive to negative or vice versa.

The point X is at the location (-4, 1). Rotating this 180 degrees will get us to X'(4, -1)

Answer:

Your answer is b. (2,0) is not a point on the circle.

Step-by-step explanation:

Center of the Circle: (h,k) = (-4,3)

Radius of the Circle: r = 6

Find the points on the circle.

(h + r ,k)

(h - r ,k)

(h , k + r)

(h , k - r)

Answer:

[tex]859.855[/tex]

Step-by-step explanation:

You start with the current amount:

[tex]747.7[/tex]

First calculate [tex]15\%[/tex] of [tex]747.7[/tex]:

[tex]747.7 \cdot 0.15 = 112.155[/tex]

Now add that new value back into the original amount:

[tex]747.7 + 112.155 = 859.855[/tex]

As a trick to speed things up, you can calculate it in one expression:

[tex]747.7 \cdot 1.15 = 859.855[/tex]

Answer:  u can use this to practice and u can also find your awnser in thes pic

Step-by-step explanation:

Answer:

13/15

Step-by-step explanation:

you multiply the numbers by each other like 3×1/5 = 3/15 and 5×2/3 = 10/15

then you add them to get 13/15

Answer:283 awnser is 283

Step-by-step explanation:

Answer:

[tex]m\angle 2= 108^{\circ}[/tex]

Step-by-step explanation:

Vertical angles are equal.

Answer:

108°

Step-by-step explanation:

if <1 and <2 are vertical angles, it means that m<1 = m<2

m<1= 108°

therefore, m<2= 108°

The circumference of the given circle.

In order to find the circumference, first we'll have to find the raduis.

[tex]d = 2r[/tex]

[tex] \frac{8}{2} [/tex]

[tex] = 4 \: ft[/tex]

Now, we can work out the volume.

[tex]\huge\boxed{Fomula: C = 2\pi {r}}[/tex]

[tex] c= 2 \times \pi \times 4[/tex]

[tex]c = 25.13274 \: {ft}[/tex]

[tex]\large\boxed{C = 25.13 \: ft\: (2 \: d.p)}[/tex]

Hence, the circumference of the given circle is 25.13 feets.

The empirical probability is Life insurance, Car insurance, and Mortality.

The ratio of the number of outcomes in which a defined event occurs to the total number of trials, not in a theoretical sample space but in a real experiment, is the empirical probability, relative frequency, or experimental probability of an event.

Therefore the empirical probability will be Life insurance, Car insurance, and Mortality.

To know more about empirical probability follow

https://brainly.com/question/16972278

#SPJ1

Answer:

13 units

Step-by-step explanation:

So the length of those 2 points is 6+6 = 12.

The height would be 8-3 =5

Using pythagoras, you can find out the length of the line joining the 2 points so:

[tex]5^2 + 12^2 = 169[/tex]

[tex]\sqrt{169} = 13[/tex] units

Answer:

using law of indices

the answer is 1

Answer:

B

Step-by-step explanation:

if you simply 3(x+2)-x, you get 2x+6.

it is not 3x+6 because x already equals 1. 2x+6=2x+6

The quotient of dividing (3x⁴ - 2x³ + 7x² - 4) by (x - 3) is 3x³ + 7x² + 28x + 84 and the remainder is 248

The division expression is given as:

(3x⁴ - 2x³ + 7x² - 4) / (x - 3)

Set the divisor to 0

x - 3 = 0

Solve for x

x = 3

Substitute x = 3 in 3x⁴ - 2x³ + 7x² - 4

3x⁴ - 2x³ + 7x² - 4 = 3(3)⁴ - 2(3)³ + 7(3)² - 4

Evaluate

3x⁴ - 2x³ + 7x² - 4 = 248

This means that the remainder is 248

Recall that:

Dividend = Divisor * Quotient + Remainder

So, we have:

3x⁴ - 2x³ + 7x² - 4 = x - 3 * Q + 248

Subtract 248 from both sides

3x⁴ - 2x³ + 7x² - 252 = x - 3 * Q

Divide both sides by x - 3

Q = (3x⁴ - 2x³ + 7x² - 252)/(x - 3)

Factorize the numerator

Q = (x - 3)(3x³ + 7x² + 28x + 84)/(x - 3)

Cancel out the common factors

Q = 3x³ + 7x² + 28x + 84

Hence, the quotient is 3x³ + 7x² + 28x + 84 and the remainder is 248

Read more about polynomial division at:

https://brainly.com/question/25289437

#SPJ1

Answer:

w = 23

Step-by-step explanation:

so the total degree of a triangle is 180,

when you add all 3 it should equal 180.

35 + (5w) + (w + 7) = 180

subtract 35 from both sides, 35 - 35 + (5w) + (w + 7) = 180 - 35

(5w) + (w + 7) = 145

combine like terms (add the w's), (5w + w) + 7 = 145

6w + 7 = 145

subtract 7 from both sides, 6w + 7 - 7 = 145 - 7

6w = 138

divided both sides by 6 to get w alone, 6w / 6 = 138 / 6

w = 23

A correct answer is an option a which is 2x = - 23  

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

We need to select correct statements from the given options.

2 ( x - 6 )  = - 35

2 x - 12 = - 35

2x=-35+12

2x = - 23

Therefore, 2 ( x - 6 )  = - 35  is equivalent to .2x=-23

8(x-7)=35

8x-556=35

8x=91

Therefore, 8(x-7)=35 is not equivalent to 8x=91.

9(x-6)=-35

9x-54=-35

9x=19

Therefore,9(x-6)=-35  is not equivalent to 9x=19.

4(x-5)=35

4x-20=35

4x=55

Therefore,4(x-5)=35  is not equivalent 4x=55 to .

Hence, the correct answer is an option a which is 2x = - 23  

To know more about equations follow

https://brainly.com/question/2972832

#SPJ1