Find the surface area of the prism. Picture attached.

Answer:

There is a negitve corrilation because as time increases speed decreases

Step-by-step explanation:

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:

t^v=w

Step-by-step explanation:

if y=b^x then x=logbY

b= base

for example:

log2(8)=3

2^3=8

Answer:

5 number summary hulaan mo hhahah 82 56 92 78 68

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:

Hello, please send me which of these 3 numbers is the base or height. You can also just send me an image of this. I need this because the area can change based on which value is which. However, I will still tell you how to solve the problem.

The equation for finding the area of a trapezoid is A=((a+b)/2)*h. Now, you just have to plug in your values that were given to you.

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 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:

b = 13√3

c = 26

Step-by-step explanation:

tan 30  = a /b

b = a/ tan 30 = 13 / (1/√3) = 13√3

sin 30 = a /c

c = a/ sin 30 = 13 / (1/2) = 13 * 2 = 26

Answer:

if a = 13 than..

c = 26

b = 13√3

Step-by-step explanation:

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:

using law of indices

the answer is 1

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]

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:

About 588 students.

Step-by-step explanation:

78% = 0.78

Therefore, we can conclude the following:

78% of 754 = 754 * 0.78 = 588.12

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

Answer:

56

Step-by-step explanation:

To find the area of a rectangle we have the foruma A=WxL.

But we already have the area and length so we can plug that in

5488=Wx98

Now its an algebreic expression.

SInce its multiplying we do the opposite, so we divide 98 on both sides.

98/98 crosses itself out so now its 5488/98. Which equals 56. So now our expression is W=56. To fact check we put the numbers 56 and 98 into the formula to see if we get 5488.

A=56x98

A=5488

Answer:

6 visits

Step-by-step explanation:

Here the involved variables should be :

⇒ y = total number of rewards points

⇒ x = number of visits to the movie theater

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

Given :

⇒ points earned on signing up = 60

⇒ points per visit = 9.5

⇒ total points required = 117

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

Making the equation :

⇒ y = mx + b

⇒ m = points earned per visit

⇒ b = points earned on signing up

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

Solving by substitution :

⇒ 117 = 9.5x + 60

⇒ 9.5x = 117 - 60

⇒ 9.5x = 57

⇒ x = 6 visits

If Latanya receives 60 rewards points just for signing up. She earns 9.5 points for each visit to the movie theater. She needs 117 points for a free movie ticket. Then 6 visits Latanya make to earn a free ticket.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

Given that,

Latanya has 60 rewards points just for signing up.

For each visit to theatre she earns 9.5 points.

To get free ticket she has to have 117 points.

We need to find how many visits she has to do to get free ticket.

We use Linear equation to solve this

Let y = total number of rewards points

x = number of visits to the movie theater

m=Points for each visit

y=mx+b

117=9.5x+60

Subtract 60 on both sides

117-60=9.5x

57=9.5x

x=6

Hence she has to make 6 visits to earn a free ticket.

To learn more on slope intercept form click:

https://brainly.com/question/9682526

#SPJ2

Answer:

y = 2x - 1

Step-by-step explanation:

Given equation:

y = 2(x + 1)

y = 2x + 2

slope = 2

y = mx + b

y = 2x + b

Point: (2/3, 1/3)

1/3 = 2(2/3) + b

1/3 = 4/3 + b

b = -3/3

b = -1

y = 2x - 1

Write properties of function:

x intercept/zero: t₁ = -1, multiplicity 1; t₂ = 10 , multiplicity 1

vertex form: g (t) = (t - 9/2)² - 121/4

vertex: (9/2, -121/4)

The requried,
1. Zeros fo the function G(t) = (t – 10)(t + 1) are -1 and 10.
2. Vertex of the parabola is (9/2, -121/4).

A parabola is a cross-section cut out of the cone and represented by an equation G(t) = (t – 10)(t + 1.

Given function: G(t) = (t – 10)(t + 1)

1. To find the zeros of the function, we set G(t) to 0 and solve for t:

(t – 10)(t + 1) = 0

This gives us t = 10 and t = -1. Therefore, the smaller t is -1 and the larger t is 10.

So, the zeros of the function are:

smaller t = -1

larger t = 10

2.To find the vertex of the parabola, we can rewrite the given function in vertex form:

G(t) = (t – 9/2)² - 121/4

The vertex of the parabola is given by (h, k), where h is the x-coordinate and k is the y-coordinate. Therefore, the vertex of the parabola is:

Vertex: (9/2, -121/4)

Learn more about parabola here:

brainly.com/question/4074088

#SPJ2

Answer:

12 sin 75°

Step-by-step explanation:

See the attached images!

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

Answer:

Step-by-step explanation:

The available area is found by subtracting twice the border width from each of the overall lot dimensions. The accommodation that provides is found by dividing the area by the area required per dog.

__

The 10 foot setback from each lot line means the usable space has dimensions that are 20 feet shorter than the lot dimensions.

  usable rectangle = (120 ft -20 ft)×(80 ft -20 ft) = (100 ft)(60 ft)

  usable rectangle = 6000 ft²

There will be 6000 square feet in the smaller lot.

__

The space required for each dog is ...

  (12,500 ft²)/(50 dogs) = 250 ft²/dog

Then the number of dogs that can be accommodated in 6000 ft² is ...

  (6000 ft²)/(250 ft²/dog) = 24 dogs

The number of dogs allowed is 24.

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:

[tex]f(5)=8[/tex]

Step-by-step explanation:

Given function: [tex]f(x)=x^2-3x-2[/tex]

To find [tex]f(5)[/tex], simply input [tex]x=5[/tex] into the function:

[tex]\begin{aligned}\implies f(5) & =5^2-3(5)-2\\& = 25-15-2\\& = 10-2\\& = 8\end{aligned}[/tex]

[tex]\huge\color{white}\boxed{\colorbox{Black}{♔︎Answer♔︎}}[/tex]

The value of f(5)

f(x) = x² - 3x - 2

f(x) = x² - 3x - 2

we will put the value of x as 5

so that to find f(5).

f(5) = (5)² - 3×5 - 2

f(5) = 25 - 15 - 2

f(5) = 8

The value of f(5) is 8.

Answer:

$5,505

Step-by-step explanation:

Compound interest formula :

Solving after substituting the given values :

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