The sketch shows part of the graph y=ab^x

Answer:

x = 0.75 feet

Step-by-step explanation:

The area of a square is 18/32 square foot

We need to find the side length of the square.

The area of a square of side x is given by :

[tex]A=x^2[/tex]

Substitute all the values,

[tex]x=\sqrt{A} \\\\x=\sqrt{\dfrac{18}{32}} \\\\x=0.75\ feet[/tex]

So, the side length of the square is equal to 0.75 feet.

Answer:

The ball is in the air for about 5.873 seconds.

Step-by-step explanation:

The function:

[tex]f(x)=-5x^2+20x+55[/tex]

Models the height of a ball x seconds after it is thrown in the air.

And we want to find the total time the ball is in the air.

So, we can simply find the time x at which the ball lands. If it lands, its height f above the ground will be 0. Thus:

[tex]0=-5x^2+20x+55[/tex]

We will solve for x. Dividing both sides by -5 yields:

[tex]0=x^2-4x-11[/tex]

The equation is unfactorable, so we can use the quadratic formula:

[tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

In this case, a = 1, b = -4, and c = -11. So:

[tex]\displaystyle x=\frac{-(-4)\pm\sqrt{(-4)^2-4(1)(-11)}}{2(1)}[/tex]

Evaluate:

[tex]\displaystyle\begin{aligned} x&=\frac{4\pm\sqrt{16+44}}{2}\\&=\frac{4\pm\sqrt{60}}{2}\\&=\frac{4\pm2\sqrt{15}}{2}\\&=2\pm\sqrt{15}\end{aligned}[/tex]

Approximate:

[tex]x_1=2+\sqrt{15}\approx5.873\text{ or } x_2=2-\sqrt{15}\approx-1.873[/tex]

Since time cannot be negative, our only solution is the first choice.

So, the ball is in the air for about 5.873 seconds.

Answer:

Step-by-step explanation:

both  A and B are equivalent

Answer:

about 236.715 ft²

Step-by-step explanation:

area of a circle = πr²

so π7.5² = 176.7145868

area of a rectangle is b × h

so 15 × 4 = 60

60 +  176.7145868 = 236.7145868 ft² ≈ 236.715 ft² (for the nearest thousandths)

Answer:

x = 14.4

Step-by-step explanation:

Similar means that the figures are proportional to each other. Because of this, we can form a problem. [tex]\frac{9}{5}[/tex] (the short side lengths) = [tex]\frac{x}{8}[/tex] (the long side lengths). Now we can solve this by cross-multiplying. If we multiply 9 · 8 we get 72, and 5 · x is 5x. 72 = 5x. Now divide both sides by 5. 72 ÷ 5 = 14.4. Therefore, x should be equal to 14.4. Does this make sense?

Answer:

15t+45v

Step-by-step explanation:

Answer:

− 2 sin ( 0 ) ⋅ sin ( 0 ⋅ π /0 m ) + cos ( 0 ) ⋅ cos ( 0 ⋅ π /0 m ) = 0  is not an identity

Step-by-step explanation:

Answer:

The ratio of the volume of the triangular prism to the volume of the cuboid is [tex]\frac{3}{20}[/tex].

Step-by-step explanation:

Geometrically speaking, the volume of the prism is equal to the product of the area of the base and its height. Then, the volumes of the triangular prism and the cuboid are, respectively:

Triangular prism

[tex]V_{tp} = \frac{1}{2}\times 5\,cm \times 4\,cm \times 9\,cm[/tex]

[tex]V_{tp} = 90\,cm^{3}[/tex]

Cuboid

[tex]V_{c} = 6\,cm\times 5\,cm \times 20\,cm[/tex]

[tex]V_{c} = 600\,cm^{3}[/tex]

Lastly, the ratio of the volume of the triangular prism to the volume of the cuboid is:

[tex]r = \frac{V_{tp}}{V_{c}}[/tex]

[tex]r = \frac{3}{20}[/tex]

The ratio of the volume of the triangular prism to the volume of the cuboid is [tex]\frac{3}{20}[/tex].

Answer:

$5820.07

Step-by-step explanation:

Substitute 243 into the equation for n:

[tex]c=117\sqrt[3]{243^{2} }+1264\\c=117\sqrt[3]{59049}+1264\\c=117*38.9407384+1264\\c=4556.06639+1264\\c=5820.06639[/tex]

Round 5820.06639 to the nearest hundredth:

5820.07

$5820.07

Answer:

r = 3 1/4

Step-by-step explanation:

Here, we want to find the value of r given the values

Firstly, we will write r as the subject of the formula

U = π ( r + h)

U/π = r + h

r = U/π - h

Now substitute;

U = 16 1/2 = 33/2

h = 2

π= 22/7

r = 33/2/22/7 - 2

r = (33/2 * 7/22) - 2

r = 21/4 - 2

r = (21-8)/4

r = 13/4 = 3 1/4

Answer:

Other root of equation, [tex]\frac{8}{3}[/tex]

Value of ([tex]b[/tex]), [tex]-17[/tex]

Step-by-step explanation:

The given quadratic equation is in standard form. Standard form is the basic format of representing a quadratic equation, a quadratic equation in standard form would use the following format,

[tex]y=ax^2+bx+c[/tex]

To solve this problem, one could use Vieta's theorems. Vieta's theorems state the following, let ([tex]x_1[/tex]) and ([tex]x_2[/tex]) represent the roots of the equation,

[tex](x_1)+(x_2)=-\frac{b}{a}[/tex]

[tex](x_1)(x_2)=\frac{c}{a}[/tex]

Substitute the given values into the equation,

[tex]3+(x_2)=-\frac{b}{3}[/tex]

[tex](3)(x_2)=\frac{24}{3}[/tex]

Simplify,

[tex](3)+(x_2)=-\frac{b}{3}[/tex]

[tex](3)(x_2)=8[/tex]

Inverse operations,

[tex](3)+(x_2)=-\frac{b}{3}[/tex]

[tex]x_2=\frac{8}{3}[/tex]

Substitute in the value of ([tex]x_2[/tex]),

[tex](3)+(\frac{8}{3})=-\frac{b}{3}[/tex]

Simplify, convert to improper fractions and combine like terms,

[tex]\frac{9}{3}+\frac{8}{3}=-\frac{b}{3}[/tex]

[tex]\frac{17}{3}=-\frac{b}{3}[/tex]

Multiply both sides of the equation by ([tex]3[/tex]) to remove the denominator,

[tex]17=-b[/tex]

Answer:

18.0 i think

Step-by-step explanation:

slope: -4/5

y-int: 4

y=-4/5x+4

Answer:

(5x + 6) (x + 3)

hope it helps

0.3 percent because 50% of 60% is 0.3%

Answer:

160° = (10x + 50°) [Vertically Opposite Angles]

[tex]10x + 50 = 160 \\ 10x = 160 - 50 \\ 10x = 110 \\ x = \frac{110}{10} \\ x = 11[/tex]

Option A. 11 is the correct answer.

Note: Consider we need to find the height of the container.

Given:

The volume of container in the shape of right rectangular prism = 43.875 cubic meters.

Length = 5 meters.

Width = 3.9 meters.

To find:

The height of the container.

Solution:

We know that the volume of a rectangular prism is:

[tex]V=l\times w\times h[/tex]

Where, l is length, w is width and h is height.

Putting [tex]V=43.875,l=5,w=3.9[/tex] in the above formula, we get

[tex]43.875=5\times 3.9\times h[/tex]

[tex]43.875=19.5\times h[/tex]

[tex]\dfrac{43.875}{19.5}=h[/tex]

[tex]2.25=h[/tex]

Therefore, the height of the rectangular container is 2.25 meters.

Answer: for me it must be A or C I have a picture how I find my answer.

Step-by-step explanation: Hope this help :D

Answer:

x > 0

y > 0

Step-by-step explanation:

The first quadrant is the quadrant formed by the positive x-axis and the positive y-axis.

And we know that all the elements in this quadrant are larger than zero.

Then, a point (x, y) is on the first quadrant only if:

x > 0

y > 0

Note that we ignore the points with x = 0 or y = 0, this is because these points are shared between quadrants, and these points are not defined as belonging to any quadrant.

Answer:

diameter of the wheel = 28.98 in (2 d.p.)

Step-by-step explanation:

Given information:

Circumference of a circle = πd  (where d is the diameter)

One rotation of the wheel is equal to the circumference of the wheel.

Therefore, 5 rotations is equal to the sum of 5 circumferences.

To find the diameter of the wheel in feet, equate the expression for 5 circumferences to the total distance traveled and solve for d:

[tex]\begin{aligned}\textsf{5 circumferences} & = \textsf{total distance traveled}\\\implies 5 \pi d & = \sf 37.94\: ft\\d & = \sf \dfrac{37.94}{5 \pi}\\d & = \sf 2.415335416... \:ft \end{aligned}[/tex]

As 1 foot = 12 inches, multiply the found diameter in feet by 12 to calculate the diameter in inches:

[tex]\begin{aligned}d & =2.415335416... \times 12\\\implies d & = \sf 28.98\:\:in\:(2\:d.p.)\end{aligned}[/tex]

Therefore, the diameter of the wheel is 28.98 in (2 d.p.).

Answer:

[tex] \frac{1}{2} \times 9 \times 6 = 27 \\[/tex]

You have to count the units then put the rule

[tex] \frac{1}{2} \times base \: \times hight[/tex]

Answer:

120

Step-by-step explanation:

Answer:

6 e (*2)x

Step-by-step explanation:

i hope this helps and the 2 is a square unit

Answer:

y = 0

Step by step explanition:

Step-by-step explanation:

Since, The formula of Pythagoras is A² + B² + C²

(therefore)* let A be 8 mm

B be 6 mm

Therefore, 8² + 6² = 64 + 36

= 100

= 10( after squaring it )

Hope it helps,if it is correct like and mark me.

Answer:

G(-4,6)

Step-by-step explanation:

Here, we want to write a translation

moving left means we are to subtract the number of units from the original

So we have this as -4

Moving up means we are to add the number of units to the original

So we have this as +6 = + 6 units

So the answer here will be;

(-4,6)

G.  (-4, 6).

Given translation is 4 units left and 6 units up.

For left we use negative sign. And for up was use plus sign.

So the translation vector is (-4, 6).

Find out more information about the translation here: https://brainly.com/question/12861087

Answer:1, 2, 3, 5, 6, 10, 15, 30.

Step-by-step explanation:

Answer and Step-by-step explanation:

Let's put the information given into equations.

Let's also denote x as individual songs and y as albums.

Charlene -  6x + 2y = 25.92

Keisha -  4x + 3y = 33.93

Those above equations is answer choice option, which is D.

So, D is the correct Answer.

#teamtrees #PAW (Plant And Water)