ABC is a right triangle. Find the length of x, the altitude of ABC. ​

The expression P2 = 100000(0.4)^(d - 4) is an illustration of an exponential expression

The equivalent expression of P2 = 100000(0.4)^(d - 4) is  P2 = 3906250(0.4)^d

The equation is given as:

P2 = 100000(0.4)^(d - 4)

Apply the law on indices on the expression.

P2 = 100000(0.4)^d * 1/0.4^4

Rewrite as:

P2 = 1/0.4^4 * 100000(0.4)^d

Evaluate the exponent

P2 = 39.0625 * 100000(0.4)^d

Evaluate the product

P2 = 3906250(0.4)^d

Hence, the equivalent expression of P2 = 100000(0.4)^(d - 4) is  P2 = 3906250(0.4)^d

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Answer:

D

Step-by-step explanation:

I am not sure but according to my calculation answer of no.1 may be 67. And I am in 8 grade so I couldn't solve others. So sorry !!

Answer:

Slope of the line that is parallel: 2

Slope of the line that is perpendicular: [tex]-\frac{1}{2}[/tex]

Step-by-step explanation:

For the parallel line:

Rewrite your equation to slope-intercept form: y = mx + b

y = mx + b

2x - y = 1 <== subtract 2x to both sides

-2x     -2x

-y = -2x + 1 <== divide both sides by -1

/-1      /-1

y = 2x - 1

The slope of the line that is parallel to this line is 2.

For the perpendicular line:

*Perpendicular lines have negative reciprocals*

Steps:

1. Take your original slope (2)

2. Flip it (1/2)

3. Change the sign (-1/2)

For a slope of 2, the reciprocal would be: [tex]-\frac{1}{2}[/tex]

Hope this helps!

Note that.

Slopes of parallel line are equal

Slopes of perpendicular lines are negative reciprocals

So

Compare to slope intercept form

Slope of the parallel line=2

Slope of the perpendicular line=-1/2

Answer:

x = 66°

Step-by-step explanation:

The angles lie on a straight line.

→ A straight line has total 180 degrees

Answer:

2) 66

Step-by-step explanation:

2x + 48° = 180° (Angles in linear pair)

-> 2x = 180° - 48°

-> 2x = 132°

-> x = 132°/2

-> x = 66°

Answer:

40 m/hr

Step-by-step explanation:

6 hours * 80 m/hr      +     6 hours * x m/hr  = 720 miles

6 * 80     +    6 * x   = 720

x = 40 m/hr

The easiest way to convert a fraction to a decimal is to divide the numerator (the top of the fraction) by the denominator (the bottom of the fraction)

3/12=0.25

Answer:

x=34

Step-by-step explanation:

This is a 180-degree angle. This means, that when added, both sides must equal 180.

180-151=29

Since there is a "-5" on the side of x, we must add five to find x.

29+5=34

x=34

The combination shows that the number of ways to select 4 out of the 50 minions will be 230300.

From the information given, it can be noted that this involves a combination rather than permutation.

In this case, the number of ways to select 4 out of the 50 minions will be:

= 50! / (50-4)!4!

= 230300

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Answer:

-9<2

-1>-3

3>-7

-8<-4

Explanation:

< = less than

> = more than

Answer:

2 -1 3 -4 and its always positive if you do the negitives it would be the lowst

Answer:

Answer for 1

B and D

Answer for 2

is D 54,811 x 2/4

Step-by-step explanation:

Answer: 28

Step-by-step explanation: 80 x 0.35 = 28

when we multilpy we get 80×0.35 = 28

Answer:

A = 390

Step-by-step explanation:

l=14

w= 3

h= 9

A= 2 (wl+hl+hw) = 2 (3.14+9.14+9.3) = 390

Answer: 390in^2

Step-by-step explanation:

2(14 x 3) + 2(9 x 3) + 2(14 x 9)

84 + 54 + 252 = 390 in^2

Answer:

X= 2

X= -8

Hope this helps :)

Answer:

x=2 and x=-8

Step-by-step explanation:

First, move terms to the left side. Then subtract the numbers and use the quadratic formula. Simplify, separate the equations, and solve.

Answer:

8

Step-by-step explanation:

2 + 2 = 4

4 / 3 = 1.3

1.3 x 6 = 8

Answer:

the total amount owed for the car is $7500

Step-by-step explanation:

5% of $6000 is ($6000×5)÷100= $300

so $300×5= $1500

now the 5 yrs interest auditioned to the $6000 loan equals $7500.

($300×5)+$6000= $7500

Answer:

4000

Step-by-step explanation:

V=4/3(3)(10)^3

V= 4/3 (3)(1000)

V=4/3 (3000)

V=4000

Answer:

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

First, you count the total number of windows. That's 25. Then you count the number of widows with their lights off. That's 15. After this, you divide 15 by 25 to get the percent of the windows turned off. :)

Answer:

[tex]\fbox{height \: of \: prism = 19 \: mm}[/tex]

Step-by-step explanation:

Given:

Shape of object is pentagonal prism

Side of pentagon= 12mm

Apothem of pentagon= 5 mm

Volume of pentagonal prism= 2,850 cubic mm.

To find:

Hieght of pentagon prism= ?

Solution:

To find height of prism it's necessary to calculate the surface area of base,

[tex]Area \: of \: regular\: pentagon = \frac{5}{2} \times side \: of \: pentagon \: \times apothem \\ Area \: of \: regular\: pentagon = \frac{5}{2} \times 12 \times 5 \\ Area \: of \: regular\: pentagon= \frac{5}{ \not2} \times \not12^{6} \times 5 \\ Area \: of \: regular\: pentagon= 5 \times 6 \times 5 \\ Area \: of \: regular\: pentagon= 150 \: {mm}^{2} [/tex]

[tex]Volume \: of \: prism = surface \: area \: of \: base \: \times height (h) \\ 2850 = 150 \times h \\ h = \frac{2850}{150} \cdot \frac{ {mm}^{3} }{ {mm}^{2} } \\ h = \frac{\not{ {2850}^{19} }} {\not150} \cdot \frac{ {mm}^{\not {3}^{1} } }{ {mm}^{\not2} } \\ \fbox{h = 19 \: mm}[/tex]

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The required height of the pentagonal prism is 19 cm                              

Given that,
A figure of a pentagon prism is shown with
The volume of the prism = 2850 cubic cm
Side of pentagon base = 12 mm.
And the perpendicular distance from the center to the side = 5 mm.

Volume is defined as the ratio of the mass of an object to its density.
Or in mathematics volume can be calculated as the area of the base multiplied by the height.

In order to get the height of the prism first, we have to calculate the area of the base and then divide the volume by its base area to get its height.

The base area = 5/2 * side * perpendicular height to side from center.
                         = 5 / 2 * 12 * 5
                         = 150
The volume of the prism = base area * height
                              2850 = 150 * height
                             height = 2850/15
                                         =  19 cm

Thus, the required height of the pentagonal prism is 19 cm                              

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Answer:

The type of function is cexponential and Alinear

a. i. The parametric equation for the horizontal movement is x = 43.84t

ii. The parametric equation for the vertical movement is y = 50 + 43.84t

b. the location of the football at its maximum height relative to the starting point is (60.1 ft, 60.1 ft)

A parametric equation is an equation that defines a set of quantities a functions of one or more independent variables called parameters.

The parametric equation for the horizontal movement is x = 43.84t

Since

the horizontal component of the velocity is v' = vcosФ.

So, the horizontal distance the football moves in time, t is x = vcosФt

= vtcosФ

= 62tcos45°

= 62t × 0.7071

= 43.84t

So, the parametric equation for the horizontal movement is x = 43.84t

The parametric equation for the vertical movement is y = 50 + 43.84t

Also, since

the vertical component of the velocity is v" = vsinФ.

Since the football is initially at a height of h = 50 feet, the vertical distance the football moves in time, t relative to the ground is y = 50 + vsinФt

= 50 + vtcosФ

= 50 + 62tsin45°

= 50 + 62t × 0.7071

= 50 + 43.84t

The location of the football at its maximum height relative to the starting point is (60.1 ft, 60.1 ft)

Since the football reaches maximum height at t = 1.37 s

The x coordinate of its location at maximum height is gotten by substituting t = 1.37 into x = 48.84t

So, x = 43.84t

x = 43.84 × 1.37

x = 60.0608

x ≅ 60.1 ft

The y coordinate of the football's location at maximum height relative to the ground is y = 50 + 48.84t

The y coordinate of the football's location at maximum height relative to the starting point is y - 50 = 48.84t

So,  y - 50 = 48.84t

y - 50 = 43.84 × 1.37

y - 50 = 60.0608

y - 50 ≅ 60.1 ft

So, the location of the football at its maximum height relative to the starting point is (60.1 ft, 60.1 ft)

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I hope this helps, you can ask any questions for clarification

To write something in slope-intercept form

   ⇒ need to know what slope-intercept looks like: [tex]y = mx +b[/tex]

Let us first find the slope:

     Formula of slope = [tex]\frac{y2-y1}{x2-x1}[/tex]

    Slope = [tex]\frac{4-6}{8-5} =-\frac{2}{3}[/tex]

Lets now write in point-slope form:

     ⇒ [tex](y-y0)=m(x-x0)[/tex]

   [tex]y - 6 = -\frac{2}{3} (x-5)[/tex]

To write it into slope-intercept form, we must solve for y

   [tex]y = -\frac{2}{3}(x-5)+6 =-\frac{2}{3}x+\frac{10}{3} +6\\y = -\frac{2}{3} x+\frac{10}{3}+\frac{18}{3} \\y = -\frac{2}{3}x+\frac{28}{3}[/tex]<-- slope-intercept form

Hope that helps!

Answer:

like if it's rere it's ree duh awsee a

Answer:

[B] 1/25

Step-by-step explanation:

From the given:

There are letter tiles in a bag. Four A’s, five B’s, six C’s and five D’s. You select one tile, replace it, and then draw another.

To Find:

P( A and A)=______

Solution:

Since it given that:

Four A’s, five B’s, six C’s and five D’s.

Thus we have:

A,A,A,A,B,B,B,B,B,C,C,C,C,C,C,D,D,D,D,D

Total number of letters tiles = 20

Probability of selecting A = 4/20  = 1/5

Probability of selecting A  = 4/20 = 1/5

P( A and A)= 1/5 × 1/5 = 1/25

Thus, the answer is [B] 1/25

Kavinsky

Answer:

225

135

450

270

6750

all the answers

Answer:

7

Step-by-step explanation:

As you can see, each time (let's say n) increases by 1, it divides by 1/2. So from a1 to a2, you get 28/2 or 14, then from a2 to a3, 14/2 or 7.

7 being your answer.

Answer:

Step-by-step explanation:

Given the recursive formula.

Use it to determine the value of te third term.

Answer :-

Step-by-step explanation:

Given :-

To Find :-

Solution :-

According to question,

↠ (x)(x + 2) = 528

↠ x² + 2x = 528

↠ x² + 2x - 528 = 0

↠ x² + 24x - 22x - 528 = 0

↠ x(x + 24) - 22 (x + 24) = 0

↠ (x + 24) (x - 22) = 0

↠ x = -24 or 22

Hence,

Value of two integers are 22 and 24

Step-by-step explanation:

It is given that, The product of 2 consecutive even integers is 528 and we have to find the value of each integers.

Now, As it is stated in the question that the product of 2 consecutive even integers is 528, So

[tex] \\ { \longrightarrow \qquad{ \pmb{ \sf { y(y + 2) = 528 }}}} \: \: \\ \\[/tex]

[tex]{ \longrightarrow \qquad{ \pmb{ \sf { {y}^{2} + 2y = 528 }}}} \: \: \\ \\[/tex]

Subtracting both sides by 528 we get :

[tex] \\ { \longrightarrow \qquad{ \pmb{ \sf { {y}^{2} + 2y - 528= 528 - 528 }}}} \: \: \\ \\[/tex]

[tex]{ \longrightarrow \qquad{ \pmb{ \sf { {y}^{2} + 2y - 528= 0 }}}} \: \: \\ \\[/tex]

We have to find two numbers such that,

[tex] \\ { \longrightarrow \qquad{ \pmb{ \sf { p + q= 24 }}}} \: \: \\ \\[/tex]

[tex]{ \longrightarrow \qquad{ \pmb{ \sf { p \times q= 528 }}}} \: \: \\ \\[/tex]

The two numbers are 24 and 22. So,

[tex] \\ { \longrightarrow \qquad{ \pmb{ \sf { {y}^{2} + (-22y) + 24y - 528= 0 }}}} \\ \\ [/tex]

[tex]{ \longrightarrow \qquad{ \pmb{ \sf { {y}(y -22) + 24(y - 22)= 0 }}}} \\ \\ [/tex]

[tex]{ \longrightarrow \qquad{ \pmb{ \sf { (y -22) (y + 24)= 0 }}}} \\ \\ [/tex]

[tex] \: [/tex]

So, The first consecutive even integer is 22.

Now,

[tex] \\ { \longrightarrow \qquad{ \pmb{ \sf {Second \: consecutive \: even \: integer=y \:+2 \: }}}} \\ \\ [/tex]

[tex]{ \longrightarrow \qquad{ \pmb{ \sf {Second \: consecutive \: even \: integer=2 2+2 \: }}}} \\ \\ [/tex]

[tex]{ \longrightarrow \qquad{ \pmb{ \sf {Second \: consecutive \: even \: integer=24 }}}} \\ \\ [/tex]

Therefore,