Find the probability of first rolling an odd number on a dice and then a numbergreater than 3:

Answer:

I. Evaluate the largest angle when x = 15

Explanation:

First, solve for x:

x + 8x + x + 30 = 180

10x = 180 - 30

10x = 150

x = 15

Here in the question, his friend wants to find the largest angle in triangle.

So, input x = 15 in the largest angle.

Which is, 8x = 8(15) = 120° <--- largest angle in the triangle.

Final speed after slowing down by 15 miles per hour and reducing the speed by one third is 25 miles per hour.

Let's break down the steps to determine the final speed:

Step 1: Convert the speed from miles per minute to miles per hour.

Since you're driving one and a half miles per minute, we need to convert it to miles per hour. There are 60 minutes in an hour, so we multiply 1.5 by 60 to get 90 miles per hour.

Step 2: Slow down by 15 miles per hour.

Subtract 15 from the initial speed of 90 miles per hour, resulting in 75 miles per hour.

Step 3: Reduce the speed by one third.

To find one third of 75 miles per hour, we divide it by 3, which gives us 25 miles per hour.

Therefore, the final speed after slowing down by 15 miles per hour and reducing the speed by one third is 25 miles per hour.

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The rational function graphed in this problem is defined as follows:

y = -2(x - 1)/(x² - x - 2).

The vertical asymptotes of the rational function for this problem are given as follows:

x = -1 and x = 2.

Hence the denominator of the function is given as follows:

(x + 1)(x - 2) = x² - x - 2.

The intercept of the function is given as follows:

x = 1.

Hence the numerator of the function is given as follows:

a(x - 1)

In which a is the leading coefficient.

Hence:

y = a(x - 1)/(x² - x - 2).

When x = 0, y = -1, hence the leading coefficient a is obtained as follows:

-1 = a/2

a = -2.

Thus the function is given as follows:

y = -2(x - 1)/(x² - x - 2).

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Answer:

$7.15k

Step-by-step explanation:

So the first week, she used $2.75k

Then, you can calculate the amount for one pound the next week by doing 0.8 * 2.75 = 2.2

So the second week she used 2 * 2.2 * k = $4.4k

$4.4k + $2.75k = $7.15k

Might be wrong so check it.

Then 62.5% of the campers at the Wild Outdoors camp this morning will be horseback riding

To find the percentage of campers that will be horseback riding, we need to first add the ratio together to get the total number of parts. In this case, the ratio of horseback riding to canoeing is 5:3, so there are 5 + 3 = 8 parts in total.

To find the percentage of campers that will be horseback riding, we divide the number of parts for horseback riding by the total number of parts, then multiply by 100 to get the percentage.

So, 5 parts out of 8 parts are for horseback riding. This is equivalent to 5/8 or 0.625 as a decimal. To find the percentage, we multiply by 100, which gives us 62.5%.

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Answer:

3.94

Step-by-step explanation:

i think it is correct and i hope this helps but it may be wrong

Note that the two secants intersect at an exterior point and their relationship is given by the intersecting secant theorem.

According to the secant theorem,

(a) (CG + GE) × CG = (CH + DH) × CH

(b) Yes, it is possible to find the length of DH.

The intersecting secant theorem, sometimes known as the just secant theorem, discusses the relationship between two intersecting secants and the corresponding circle.

(a) Note that according to the intersecting secants theorem, given the two secants, CE  and CD are drawn from the same external point  C, where the secant CE has the external segment CG, and secant CD has the external segment CH.

Thus, the association between two secants is and their external segments is presented as follows;

CE × CG = CD × CH

CE = CG + GE

CD = CH + DH

Therefore;

(CG + GE) × CG = (CH + DH) × CH

(b) Where; CG = 4 in., CH = 5 in., and GE = 6 in., it is feasible to find the length of DH, given that the number of unknowns in the expression  of the relationship are four, and the values of three of the variables (CG, CH, and GE) are given, therefore;

It is possible to, find the length of the fourth variable, DH

The length of DH is given as follows;

Entering in the values of the variables gives us:

(4 + 6) × 4 = (5 + DH) × 5

10 × 4 = 5² + 5 × DH

5 × DH = 10 × 4 - 5² = 15

DH = 3 inches

Thus, the value of DH is ascertained.

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Answer:

\(A=603.18\ cm^2\)

Step-by-step explanation:

The length of a blade, r = 24 cm

The sweeping angle is 120°.

We need to find the total area cleaned at one sweep of the blade. The area of sector is given by :

\(A=\dfrac{\theta}{360}\times \pi r^2\)

\(A=\dfrac{120}{360}\times \pi \times 24^2\\\\=603.18\ cm^2\)

So, the total area cleaned at one sweep of the blade is \(603.18\ cm^2\).

distance from the point to O, so it can never be negative so answer is

b.oppsite

The dimensions of the box with a volume of 4096 cm³ that has a minimal surface area are 16cm×16cm×16 cm.

A solid object's surface area is a measurement of the overall space that the object's surface takes up. It is also known as the overall area of a three-dimensional shape's surface. The formula to calculate surface area is S = 2(xy+yz+zx) where x is length, y is width and z is the height of the object.  

Given the volume is 4096 cm³.

Then, V = xyz = 4096. Deriving the value of z from this, we get z = 4096/xy. Substitute value of z in S = 2(xy+yz+zx), we get,

\(\begin{aligned}S&=2\left(xy+y\times\frac{4096}{xy}+x\times\frac{4096}{xy}\right)\\&=2\left(xy+\frac{4096}{x}+\frac{4096}{y}\right)\\&=2xy+\frac{8192}{x}+\frac{8192}{y}\\&=2xy+8192\left(\frac{1}{x}+\frac{1}{y}\right)\end{aligned}\)

Differentiating S with respect to x, we get,

\(\frac{dS}{dx}=2y-\frac{8192}{x^2}\)

Equating this to zero and multiplying with x² we get,

\(\begin{aligned}2y-\frac{8192}{x^2}&=0\\2x^2y-8192&=0\\x^2y&=\frac{8192}{2}\\x^2y&=4096\end{aligned}\)

Differentiating S with respect to y, we get,

\(\frac{dS}{dy}=2x-\frac{8192}{y^2}\)

Equating this to zero and multiplying with y² we get,

\(\begin{aligned}2x-\frac{8192}{y^2}&=0\\2xy^2-8192&=0\\xy^2&=\frac{8192}{2}\\xy^2&=4096\end{aligned}\)

Dividing x²y by xy², we get,

\(\begin{aligned}\frac{x^2y}{xy^2}&=\frac{4096}{4096}\\\frac{x}{y}&=1\\x&=y\end{aligned}\)

Substitute x = y in x²y = 4096, we get,

\(\begin{aligned}y^3&=4096\\y&=16=x\end{aligned}\)

Then, the z value is

\(\begin{aligned}z &= \frac{4096}{16\times 16}\\&=16\end{aligned}\)

The required answer is 16cm×16cm×16 cm.

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Answer:

  (b)  x + 6

Step-by-step explanation:

You want the rule for the x-coordinate when the transformation is a right shift of 6 units.

A point that is the image of a pre-image point with x-coordinate x will be 6 units farther right of the y-axis than the pre-image point.

The x-coordinate measures how far right of the y-axis a point is. When that distance increases by 6 units, the x-coordinate increases by 6 units:

  x ⇒ x+6 . . . . . . the x-coordinate transformation rule

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Answer:

i believe it is 1

Step-by-step explanation:

Answer:

the slope is 1

Step-by-step explanation:

rise/run

1/1 = 1

Answer:

x = 4

Step-by-step explanation:

if a line is parallel to a side of a triangle and it intersects the other two sides then id divides those sides proportionally.

DE is such a line , then

\(\frac{BD}{AD}\) = \(\frac{BE}{EC}\)  ( substitute values )

\(\frac{x+2}{x}\) = \(\frac{3}{2}\) ( cross- multiply )

3x = 2(x + 2)

3x = 2x + 4 ( subtract 2x from both sides )

x = 4

Answer:

Square root of 2: No

Square root of 3: Yes

Square root of 5: Yes

Square root of 6: No

Step-by-step explanation: Verified by RSM

The speed of the shadow at any time while the rock is in the air is given by v(1-s) / (H-h).

By the AAA congruency theorem, the two triangles are formed and are similar. Here, the ratio of their sides must be equal, and thus -

= H/d+s = h/s

= Hs = h(d+s)

= Hs = hd + hs

= Hs - hs = hd

= s(H-h) = hd

Differentiating both sides with respect to t -

= {s' (H- h)} + {sh'} = h'

Since we know that h' = v -

= {s' (H- h)} + {sv} = v

= s'(H-h) = v - sv

= s'(H-h) = v(1-s)

= s' = v(1-s) / (H-h)

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Answer:

214 Liters converted to gallons would be 56.53 gallons there are more decimals after but those are the two main decimals.

Step-by-step explanation:

Answer:

∠ BDC = 29°

Step-by-step explanation:

the sides of a rhombus are congruent, so CD = ED and Δ EDC is therefore isosceles with base angles congruent , then

∠ BCD = ∠ BED = 61°

• the diagonals are perpendicular bisectors of each other , then

∠ CBD = 90°

the sum of the 3 angles in Δ BCD = 180°

∠ BDC + ∠ CBD + ∠ BCD = 180°

∠ BDC + 90° + 61° = 180°

∠ BDC + 151° = 180° ( subtract 151° from both sides )

∠ BDC = 29°

Answer:

See below

Step by step explanation:

Step-by-step explanation:

For cylinder:

r = 9 inches

h = 15 inches

\(V_{cylinder}=\pi r^2 h\)

\(\implies V_{cylinder}=3.14 (9)^2 (15)\)

\(\implies\huge\purple{ V_{cylinder}=3,815.1\:inch^3}\)

\(V_{cone}=\frac{1}{3} V_{cylinder}\)

\(\implies V_{cone}=\frac{1}{3}\times 3,815.1\)

\(\implies \huge\orange{V_{cone}=1,271.7\: inch^3}\)

Cone's volume is one third of the cylinder's volume.

Answer: X = 9

Step-by-step explanation:

Multiply x all in the expression and then combine like terms, add the two terms together on the left side and you are left with

63 = 7x

divide 63 by x to get x alone to get x = 9

Answer:

Hola disculpa no me acuerdo

Step-by-step explanation:

De verdad que me encantaria ayudar pero no me acuerdo :(

Answer:

6

Step-by-step explanation:

Answer:

slope (m) = 2/3

Step-by-step explanation:

slope = change in x /change in y

Also, slope is y2 - y1 / x2 -x1. That is what I apply for this activity, hence:

slope = 3 - (-1) / 0 - (-6)

         = 3 + 1 / 0 + 6

         = 4 / 6

         = 2/3

∴ slope(m) = 2/3

Answer:

450

Step-by-step explanation:

Answer:

Step-by-step explanation:

7.18/9 divide 9 and that would equal 2/1 so its 2

8.24/40 divide 8 and that would equal 3/5

9.7/21 divide 7 and that would equal 1/3

10.9/1 stays the same so its 9

Answer:

6

Step-by-step explanation:

Answer:

How far up or down the point is. The Y Coordinate is always written second in an ordered pair of coordinates (x,y) such as (12,5). In this example, the value "5" is the Y Coordinate. Also called "Ordinate"

a)The term 1-16t²represents the effect of gravity on the apple, which causes it to fall with increasing speed. The constant term 36 represents the initial height of the apple

b)Interpreting the domain, we can say that h(t) makes sense only for non-negative values of t. In other words, we can use the function h(t)to find the height of the apple at any time t a

what is gravity ?

Gravity is a fundamental force of nature that causes objects with mass to attract each other. It is the force that keeps planets in orbit around stars, and stars in orbit around the center of their galaxies.

In the given question,

a. The function h(t)=-16t²+36 represents the height of an apple above the ground at time t after falling off a tree. The term1 -16t² represents the effect of gravity on the apple, which causes it to fall with increasing speed. The constant term 36 represents the initial height of the apple when it fell off the tree.

b. The domain of h(t) in this situation is the set of all possible values of t that make sense in the context of the problem. Since h(t) represents the height of the apple at time t after it fell off the tree, the domain of h(t)is the set of all non-negative real numbers, or [0,\infty) This is because time cannot be negative, and the apple cannot fall for an infinite amount of time.

Interpreting the domain, we can say that h(t)makes sense only for non-negative values of t. In other words, we can use the function h(t) to find the height of the apple at any time t after it fell off the tree, as long as t is non-negative..

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Answer:

Step-by-step explanation:

Step-by-step explanation:

the area is

A = length × width.

length = 3 × width

=>

A = 3 × width × width = 3 × width²

300 = 3 × width²

100 = width²

width = 10 ft

Answer:

54

Step-by-step explanation:

ratio is 7:9

7=42

9=?

9×42÷7

When x is equal to 1, the Function f(x) = -4x - 5 yields a value of -9.

The find ƒ(1) for the function f(x) = -4x - 5, we need to substitute x = 1 into the function and evaluate the expression.

Replacing x with 1, we have:

ƒ(1) = -4(1) - 5

Simplifying further:

ƒ(1) = -4 - 5

ƒ(1) = -9

Therefore, when x is equal to 1, the value of the function f(x) = -4x - 5 is ƒ(1) = -9.

Let's break down the steps taken to arrive at the solution:

1. Start with the function f(x) = -4x - 5.

2. Replace x with 1 in the function.

3. Evaluate the expression by performing the necessary operations.

4. Simplify the expression to obtain the final result.

In this case, substituting x = 1 into the function f(x) = -4x - 5 gives us ƒ(1) = -9 as the output.

It is essential to note that the notation ƒ(1) represents the value of the function ƒ(x) when x is equal to 1. It signifies evaluating the function at a specific input value, which, in this case, is 1.

Thus, when x is equal to 1, the function f(x) = -4x - 5 yields a value of -9.

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Required weight of filament is 760 grams.

What is Subtraction ?

Subtraction is the operation or process of finding the difference between two quantities or numbers. Subtracting a number from another number is also called "subtracting one number from another." Some of the cases where we use subtraction are making payments, transferring money to our friends, and more.

Addition and subtraction are two basic arithmetic operations in which we learn to add and subtract two or more numbers or any mathematical values. The other two basic mathematical operations are multiplication and division. The symbol for subtraction is "-" (minus sign).

Both addition and subtraction are inverses of each other. For example, if 9 + 1 = 10, then 10 – 1 = 9. This shows that adding 1 to 9 gives 10, while subtracting 1 from 10 gives 9.

Given, The filament and spool together weigh

1000 grams and an empty spool typically weights

240 grams.

So, filament + spool = 100

\(filament + 240 = 1000 \\ filament = 1000 - 240 \\ filament = 760\)

Therefore, the weight of filament on a spool is 760 grams.

Select steps that could be used to solve the equation 1 + 3x = -x + 4.

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