this is so hard plz help

The total height of the three jumps is A = 20.744 feet

Given data ,

1st high jump score: 7.016 feet

2nd high jump score: 5.42 feet

3rd high jump score: 8.308 feet

On adding the scores , we get

7.016 + 5.42 + 8.308 = 20.744 feet

On simplifying the equation , we get

A = 20.744 feet

Hence , Oliver jumped a total of 20.744 feet in the three high jumps

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Answer:

9

Step-by-step explanation:

5x-3= 2x+24

5x=2x+27

3x=27

X=9

Answer: A.  9

Step-by-step explanation:

The diagonal is bisected by the other diagonal.  So the 2 parts of the diagonal are equal

5x - 3 =  2x + 24                 >Bring like terms to 1 side

3x = 27                                >Divide both sides by 3

x = 9

Answer:

\(\frac{1}{2} [sin(4x)-sin(2x)]\)

Step-by-step explanation:

Use the Product-Sum identity to turn cos(3x) sin x into a sum.

Formula: cos(u) + sin(v) = \(\frac{1}{2}[sin(u+v)-sin(u-v)]\)

Plug 4x and 2x for u and v into the formula: \(\frac{1}{2}[sin(3x+x)-sin(3x-x)]\)

Simplify: \(\frac{1}{2}[sin(4x)-sin(2x)]\)

:)

The expression is equivalent to cos(3x) sin x will be   1/2 [sin (4x ) - sin (2x)].

Those expressions who might look different but their simplified forms are same expressions are called equivalent expressions.

Formula we will use;

cos(u) + sin(v) = 1/2 [sin (u +v ) - sin (u - v)]

Now, Plug 4x and 2x for u and v into the formula:

1/2 [sin (3x + x ) - sin (3x - x)]

Simplify:

 1/2 [sin (4x ) - sin (2x)]

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let's take a peek at the picture above, hmmm let's notice the vertex is at (-1 , 2), now let's get a point besides the vertex hmmm let's see it passes through (-2 , -1).

So we can reword that as what's the equation of a quadratic whose vertex is at (-1 , 2) and it passes through (-2 , -1)?

\(~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{a~is~negative}{op ens~\cap}\qquad \stackrel{a~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill\)

\(\begin{cases} h=-1\\ k=2\\ \end{cases}\implies y=a(~~x-(-1)~~)^2 + 2\hspace{4em}\textit{we also know that} \begin{cases} x=-2\\ y=-1 \end{cases} \\\\\\ -1=a( ~~-2-(-1) ~~ )^2 + 2\implies -3=a(-2+1)^2\implies -3=a \\\\\\ ~\hfill~ {\Large \begin{array}{llll} y=-3(x+1)^2 + 2 \end{array}} ~\hfill~\)

Answer:

y = -3(x + 1)^2 + 2

Step-by-step explanation:

y = a(x - h)^2 + k is the vertex form of a quadratic, where

Finding (h, k):

We see from the graph that the vertex is a maximum and its coordinates are (-1, 2).  Thus h is -1 and k is 2.  Since h becomes negative, it will be 1 in the parentheses: (x - (-1) = (x + 1).

Finding a:

In order to find a, we will need to plug in a point on the parabola for (x, y) and (-1, 2) for h and k.  We see that (0, -1) lies on the parabola so we can use this point for (x, y).

-1 = a(0 - (-1))^2 + 2

-1 = a(0 + 1)^2 + 2

-3 = a(1)^2

-3 = a

Thus, a = -3.

Thus, the exact equation in vertex form of the parabola is:

y = -3(x + 1)^2 + 2

I attached a picture from Desmos Graphing Calculator that shows how the equation I provided works and contains the two points you marked on the parabola, including (-1, 2) aka the maximum, and (0, -1) aka the y-intercept.

Answer:it is the tens place

Step-by-step explanation:

Answer:

2 represents the the tenths place

Step-by-step explanation:

You have 168,526 remember your tenth hundred and thousands 2 is in the tenth place that is what represents

Hope that answers ur question

Answer:

44⁰.

Step-by-step explanation:

Its supplement = 180 - 136

= 44 degrees.

Check the picture below.

so the height we're looking for is "h" as you see in the picture on the far right.

first off, let's take a look at the left side of it, we have a circle with a radius of 15, now plugging that into the area of a circle to get its area, πr² gives us π15² or just 225π, that's the whole area of the circle, let's now get the area of the sector with 144° and subtract it from it, and what we'll  be left with, will just be the blue part, the 216° sector area.

\(\textit{area of a sector of a circle}\\\\ A=\cfrac{r^2\theta \pi }{360}~~ \begin{cases} r=radius\\ \theta =\stackrel{in~degrees}{angle}\\[-0.5em] \hrulefill\\ r=15\\ \theta =144 \end{cases}\implies A=\cfrac{15^2(144)\pi }{360}\implies A=90\pi \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{area of the whole circle}}{225\pi }-\stackrel{\textit{area of the }144^o~sector}{90\pi }\implies \stackrel{\textit{area of the cone uses}}{135\pi }\)

now, let's take a peek a the picture in the center, as we get the blue edges together from the material to form the cone, the slant-height becomes the 15 value from the radius of the circle making the cone, so our cone's slant-height is 15 then.

now, the cone is open at the top, so area wise, the only area used by the cone is the blue section, namely what we already know is 135π, oddly enough, that's the lateral area of the cone, so let's use our slant-height and lateral area of it to get the radius of the cone, let me use a "R" for this radius, to separate it from the one from the circle.

\(\textit{lateral area of a cone}\\\\ LA=\pi R\sqrt{R^2+h^2}~~ \begin{cases} LA&=135\pi \\ \sqrt{R^2+h^2}&=15 \end{cases}\implies 135\pi =\pi R15 \\\\\\ \cfrac{135\pi }{15\pi }=R\implies 9=R\)

now, we know the cone has a radius of 9 and we also know its's slant-height, as you can see in the far right of the picture, we can just use pythagorean theorem to get "h".

\(15^2=h^2+9^2\implies 15^2-9^2=h^2\implies \sqrt{225-81}=h\implies \blacktriangleright 12=h \blacktriangleleft\)

The expression can be simplified by multiplying the terms.

X² (3y³) = X² x 3y³ = 3X²y³

Answer:

3x²y³

Step-by-step explanation:

x² multiplied by 3y³.

First, multiply the co-efficient. Here, the co-efficient of x² is 1 and the co-efficient of 3y³ is 3. So, 3 x 1 = 3

Second, we multiply the variables.
x² into y³ is x²y³.

Add both the things and we get 3x²y³.



You're welcome!

The equation of the sphere with center (8, 4, 6) are\((x-8)^{2} + (y -4)^{2} + (z-6)^{2} = 36\), \((x-8)^{2} + (y -4)^{2} + (z-6)^{2} = 16\), \((x-8)^{2} + (y -4)^{2} + (z-6)^{2} = 64\)

Given that, center of the sphere of sphere is (8, 4, 6)

a) If the sphere is touching the xy- plane , its radius is same as the magnitude of z- coordinate of the center which is 6.

The equation of the required sphere is

\((x-8)^{2} + (y -4)^{2} + (z-6)^{2} = 6^{2}\)

b) If the sphere is touching the yz- plane , its radius is same as the magnitude of x- coordinate of the center which is 8.

The equation of the required sphere is

\((x-8)^{2} + (y -4)^{2} + (z-6)^{2} = 8^{2}\)

c) If the sphere is touching the xz- plane , its radius is same as the magnitude of x- coordinate of the center which is 4.

The equation of the required sphere is

\((x-8)^{2} + (y -4)^{2} + (z-6)^{2} = 4^{2}\)

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Answer:

C

Step-by-step explanation:

Alternate interior angles are next to each other. Sorry if im wrong.

Answer:

To find the perimeter you add the length of all sides.

1). 2n + 7 + 2n + 7 + 3n = perimeter

2). 2(2n + 7) + 3n = perimeter

Step-by-step explanation:

Hope this helps!! :)

Answer:

y + 9 = 0

Step-by-step explanation:

Line is passing through the point (14,-9).

\(\implies x_2=14\:\&\:y_1=-9\)

Slope m = 0

Equation of line in point-slope form is given as:

\(y-y_1=m(x-x_1)\)

\(\implies y-(-9)=0(x-14)\)

\(\implies\huge{\red{\boxed{ y+9=0}}}\)

If the archaeologist found a fossil whose length is 489.44 inches, using the conversion table, the length in feet, to the nearest tenth, is 40.8 feet.

The conversion table refers to the tabulated standard units of measurement, showing temperature, length, area, volume, weight, and metric conversions

For instance, the conversion table shows that 12 inches equal 1 foot.

The length of the fossil = 489.44 inches

12 inches = 1 foot

489.44 inches = 40.8 feet (489.44 ÷ 12)

Thus, using the conversion table, which relies on multiplication or division operations using the conversion factors, the length in feet of the fossil is 40.8 feet.

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The asterisk (*) represents the vertex of the angle, the initial side is the positive x-axis, and the terminal side is the red line segment that forms an angle of 8/3 π with the positive x-axis.

What is the standard position of angles?

Standard position simply means that the vertex of the angle is at the origin of the circle and that one ray of the angle is on the positive x-axis. The other ray of the angle is placed at the angle measure formed by traveling counter-clockwise along the circle.

To draw an angle in standard position with measure 8/3 π, follow these steps:

Start with the positive x-axis.

Counterclockwise, rotate the initial side of the angle until it coincides with the positive x-axis.

Starting from the initial side on the positive x-axis, rotate the terminal side of the angle in a counterclockwise direction until the angle measures 8/3 π.

The resulting angle will have a measure of 8/3 π and will look like the following:

       |

       |

--------*-----------

       |

       |

Here, the asterisk (*) represents the vertex of the angle, the initial side is the positive x-axis, and the terminal side is the red line segment that forms an angle of 8/3 π with the positive x-axis.

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The correct option is B i.e. The median of 49 is the most accurate to use, since the data is skewed.

What exactly is a median?

In mathematics, The median is a measure of central tendency in statistics that indicates the middle value in a dataset whether presented in ascending or descending order. It is the number that divides the top and lower half of a dataset. To get the median of a dataset, organise the values in ascending order from smallest to greatest or largest to smallest. If there are an odd number of values in the dataset, the median is the middle value. If there are an even number of values in the collection, the median is the average of the two middle values. For skewed distributions or datasets with extreme values, the median is a helpful metric of central tendency.

Now,

The median is the middle value in a set of data, which is not affected by extreme values or outliers. In this case, there are several high donations in the 50 to 59 range, which could skew the mean to be higher than what is typical. Therefore, the median provides a more accurate representation of the typical donation amount.

hence,

          The median of 49 is the most accurate to use, since the data is skewed.

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Answer:Any equation that when solved will be y=(number)

Step-by-step explanation:

Well you didn't add any "equations below" so I can't help too much bite you need to solve the equations they listed and the result of the equation must be y=(number), there cannot be any other variable in the equation when simplified if that makes sense. Sorry i can't help more.

Answer:

x=6

Step-by-step explanation:

5x-10=20

5x=20+10

5x=30

x=6

Answer:

x - 6

Step-by-step explanation:

To solve the given equation for x, isolate the 5x term on the left:  Add 10 to boths sides.  We get:

5x = 30

which yields

x = 6

Answer:

-8

Step-by-step explanation:

5x+1=6x+9

5x-6x=9-1

-x=8

X=-8

The value of the inverse function f-¹ (3) is (e) 11

From the question, we have the following parameters that can be used in our computation:

f(x) = x - 8

To calculate the inverse value at f-¹ (3)

We set the value to 3

using the above as a guide, we have the following:

x - 8 = 3

Evaluate the like terms

x = 11

Hence, the value of the inverse function is (e) 11

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Complete question

if f(x) = x - 8, what is the value of f-¹ (3)?

To find the exact value of (7π/6) using the unit circle, locate the angle (π/6) on the unit circle in the second quadrant, determine the coordinates, and adjust the y-coordinate to be negative. The final answer is (√3/2, -1/2). This answer is obtained by understanding the reference angle and using the coordinates of the point where the angle intersects the unit circle.

To find the exact value of (7π/6) using the unit circle, follow these steps:

1. Start by understanding the reference angle. The reference angle for (7π/6) is (π/6).

2. Locate the angle (π/6) on the unit circle. This angle lies in the second quadrant.

3. Determine the coordinates of the point where the angle intersects the unit circle. For (π/6), the x-coordinate is √3/2 and the y-coordinate is 1/2.

4. Since (7π/6) lies in the second quadrant, the x-coordinate will remain the same, but the y-coordinate will be negative. Therefore, the coordinates for (7π/6) are (√3/2, -1/2).

5. The exact value of (7π/6) is (√3/2, -1/2).

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Answer:

the answer is 69

Step-by-step explanation:

you find the square root of 4761

Answer:

its 69

Step-by-step explanation:

Answer:

  y = -4x -2

Step-by-step explanation:

There is a dot on the y-axis at y=-2, so that is the y-intercept. The next dot to the right is 1 unit right and 4 units down, so the slope is ...

  m = rise/run = -4/1 = -4

The slope-intercept equation for the relation is ...

  y = mx +b . . . . . line with slope m and y-intercept b

  y = -4x -2

Answer:

It must be number 2.

1 and 3 number is wrong as parallelogram don't need have right angle

The values of the ratios of the perimeters and areas of the red figure to the blue figure, which are similar figures, in the simplest form are:

The ratio of their perimeters:  28/16

The ratio of their areas:  (28)²/(16)²

What is the ratio?

A ratio is a relationship between two things when it is expressed in numbers or amounts.

The ratio of the perimeter of similar figures = a side length of one figure / corresponding side length of the other figure

The ratio of the areas of two similar figures = square of the length of one figure/square of the corresponding length of the other

Thus:

The side length of Red-figure = 28

The side length of the Blue figure = 16

Therefore:

The ratio of their perimeter = Side length of the red figure / Side length of the blue figure

The ratio of the perimeter of the red figure to the blue figure = 28/16

The ratio of their areas = Side length of the red figure / Side length of the blue figure

The ratio of the areas of the red figure to the blue figure = (28)²/(16)²

Hence, The values of the ratios of the perimeters and areas of the red figure to the blue figure, which are similar figures, in the simplest form are:

The ratio of their perimeters:  28/16

The ratio of their areas:  (28)²/(16)²

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Answer:

I'm pretty sure its 2 and 4 but I am not completely sure I'm sorry if you get it wrong im not the best help

9514 1404 393

Answer:

  (c)  x = 0

Step-by-step explanation:

The columns list values of f(x) and g(x). Each row lists the value of those functions for the x-value listed on that row.

You are asked to find x when f(x) = g(x).

First, you look for the row where the same number appears in the f(x) and g(x) columns. On that row, f(x)=g(x). That row is 0, 1, 1--the third row from the top. The value of x listed on that row is x=0. This is the answer to the question.

The solution to f(x) = g(x) is x = 0.