Evaluate −x^2+4x+1 when x=−2.

Based on the calculations, the height of this ravine is equal to 143.95 feet.

Given the following data:

First of all, we would assign a variable to the height of the ravine, which is 100 feet tall.

Let the height of ravine be h.

Note: We would choose 46° as a measure for angle A.

From the image attached, we would determine the length of the hypotenuse by using Cosine trigonometric:

[tex]Cos A=\frac{Adj}{Hyp} \\\\Cos 46=\frac{100}{h} \\\\0.6947=\frac{100}{h}\\\\h=\frac{100}{0.6947}[/tex]

h = 143.95 feet.

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The point (3/5,4) would lie on the circle if it makes the equation of the circle to be true

Latansha's equation of the circle is wrong

The given parameters are:

Center = (a,b) = (0,-2)

Radius, r = 7

The equation of a circle is:

[tex](x - a)^2 + (y - b)^2 = 0[/tex]

This gives

[tex](x - 0)^2 + (y + 2)^2 = 0[/tex]

Rewrite as:

[tex]x^2 + (y + 2)^2 = 0[/tex]

In Latanya's first step, we have:

[tex]x^2 + (y - 2)^2 = 0[/tex]

By comparing her first step with x^2 + (y + 2)^2 = 0, we can see that her equation is wrong

Hence, Latansha's error is that she determine the equation of the circle, wrongly.

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The expression of the unit rate was defined with all parameters rightly inputed the Molly's unit rate is 2.5 pages per minutes

Given Data

The speed/ rate is defined as the number of pages read per minutes passed

Hence the expression for the unit rate is given as

Unit Rate = Number of pages/Time Taken

Substituting our given Parameters

Unit Rate = 75/30

Unit Rate = 2.5 pages per minutes

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Creative writing had the largest mean absolute deviation of 2.7, therefore, the elective where her scores are most spread out is: creative writing.

The mean absolute deviation is a measure of variability of a data distribution, which describes the average distance of each data value and the mean of the data set.

The larger the mean absolute deviation, the more spread out the data points are from the mean of the data set.

Therefore, since creative writing had the largest mean absolute deviation of 2.7, therefore, the elective where her scores are most spread out is: creative writing.

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Answer: creative writing

Step-by-step explanation: I did k12 and got 100% Good Luck i hope this helps man. please give me brainiest I'm trying my best to help everyone.     thanks :)  

Answer:

a) £600

b) £1400

Step-by-step explanation:

a)  Set up a ratio of price to percentage of original price.

Let x = original price

⇒ £420 : 70 = £x : 100%

[tex]\sf \implies 420 : 70 = x : 100[/tex]

[tex]\sf \implies \dfrac{420}{70}=\dfrac{x}{100}[/tex]

[tex]\sf \implies x=100\cdot\dfrac{420}{70}[/tex]

[tex]\sf \implies x=600[/tex]

Therefore, the original price of the bracelet was £600

b) Set up a ratio of price to percentage of original price.

If the ring is reduced by 40% then it is now 60% of the original price, since 100% - 40% = 60%

Let x = original price

⇒ £840 : 60% = £x : 100%

[tex]\sf \implies 840 : 60 = x : 100[/tex]

[tex]\sf \implies \dfrac{840}{60}=\dfrac{x}{100}[/tex]

[tex]\sf \implies x=100\cdot\dfrac{840}{60}[/tex]

[tex]\sf \implies x=1400[/tex]

Therefore, the original price of the ring was £1400

Step-by-step explanation:

3200 = 100%

2848 = ?%

2848 ÷ 3200 then × 100

= 89%

so 2848 = 89%

Answer:

89%

Step-by-step explanation:

3200/2848=0.89

To turn into a percentage multiply by 100

So 0.89*100=89%

Answer:

b

Step-by-step explanation:

Answer: i'm pretty sure the base is 14cm, the height is 7cm, and the volume is 49 cm2

Step-by-step explanation:

for the base, i just added up 6cm and 8cm to get 14cm, the height was already 7cm, and for the volume, its (b*h)/2, since its a triangular 3d object, so  (7*14)/2=49cm2

Answer:

translation

Step-by-step explanation:

Answer:

a. -10/13*3/13
b. -30/169

Step-by-step explanation:

Answer:

Hi .. im happy to help

answer is 0.033

Step-by-step explanation:

P = C(4,4)÷C(10,4)

P = 1 ÷ 30

[tex]p = \frac{1 }{30} [/tex]

p = 0.033

Answer:

9 packages of beads

Step-by-step explanation:

volume of cuboid = area of base × height

⇒ volume of jewelry box = (15 × 12) × 6

                                          = 180 × 6

                                          = 1080 in³

Given:

Number of packages of beads = volume of box ÷ volume of 1 package of beads

⇒ Number of packages of beads = 1080 ÷ 120

                                                        = 9

Answer:

Step-by-step explanation:

Use a distributive property.

Distributive property:

[tex]\Longrightarrow:\sf{A(B+C)=AB+AC}[/tex]

⇒ 4(r+1)+3r

To multiply, first expand the form.

⇒ 4*r=4r

⇒ 4*1=4

Rewrite the problem down.

⇒ 4r+4+3r

Combine like terms.

⇒ 4r+3r+4

Solve.

Add similar to elements.

Add the numbers from left to right.

⇒ 4r+3r=7r

⇒ = 7r+4

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

I believe its 0.41

Step-by-step explanation:

not 100% sure

hope this helps and is the correct answer : )

Answer:

uhhh… i dunno

Step-by-step explanation:

sry i cannot help u w/ this

Can u just put brainliest for this pls?

Thanks!

Answer:

0.5

Step-by-step explanation:

x + y = 1

y = 1 - x

f(x) = 1 - x

it is from 0 to 1

integral from 0 to 1 of (1 - x) dx

integral 1 dx - integral x dx

integral 1 dx = x

integral x dx = x²/2 by power rule

so the final integral is x - (x²/2)

now from 0 to 1

1 - (1²/2) - 0 - (0²/2)

1 - (1²/2) = 0.5

0 - (0²/2) = 0

0.5 - 0 = 0.5

(hope I could help and sorry about lateness :))

Answer:

300 text messages sent or received

Step-by-step explanation:

.16 x 300 = 48 which is the same amount as the unlimited texting

Answer:

300

Step-by-step explanation:

this is the answer to this question

for 2 points A(xa;ya) and B(xb;yb)

the slope is (yb - ya) / (xb - xa)

here

the slope = 4 = (17-r) / (4-(-1))

(17-r) / 5 = 4

17 - r = 20

r = 17 - 20

r = - 3

point (-1 ; -3)

Answer:

easy

bro

Step-by-step explanation:

so you have to calculate the equation

Step-by-step explanation:

first identify the common difference

The first term which i will define by u⁰=-27

u¹=u⁰+(1)d where d is the common difference and u¹ is the second term

u¹=-27+d

-11=-27+d

d=27-11=16

The 72nd term would be u⁷¹ since we started from u⁰ as our first term:

Use the explicit relation given by:

u(n)=u⁰+(n)d

u(71)=-27+71(d)

u⁷¹=-27+71(16)

u⁷¹=-27+1136

u⁷¹=1109

Answer:

(f+g)(x) = 5x - 1

Step-by-step explanation:

Let f(x) = 3x + 4 and g(x) = 2x - 5 find (f+g)(x)

f(x) = 3x + 4 and g(x) = 2x - 5, find (f+g)(x)

(f+g)(x) =

f(x) + g(x)

3x + 4 + 2x - 5 (combine like terms)

5x - 1

Therefore, (f+g)(x) = 5x - 1

Hope this helps!

Answer:

5x -1

Step-by-step explanation:

(3x + 4) + (2x - 5) = 3x + 4 + 2x - 5 = 3x + 2x + 4 - 5

5x - 1

Answer: C

Step-by-step explanation:

hi there! so here's my answer

[tex] \rm \tiny\color{green}t = \frac{10}{9} \\ \\ \tt \: in \: alternative \: form \\ \\ \color{yellow} \rm \: t = 1 \frac{1}{9} \: \: \: or \: \: t = 1.1[/tex]

Step-by-step explanation:

[tex] \color{gray} \tt \: 16 = 2( - 8t - 1) \times (t - 2)[/tex]

[tex]\color{gray} \tt \: 16 = 2(- 9)(t - 2)[/tex]

[tex]\color{gray} \tt \: 16=^ \ 2*9(t-2)[/tex]

[tex]\color{gray} \tt \: 16=-18 (t-2)[/tex]

[tex]\color{gray} \tt \: 16 = - 18t + 36[/tex]

[tex]\color{gray} \tt \:16+18t=36[/tex]

[tex]\color{gray} \tt \:18t=36-16 [/tex]

[tex]\color{gray} \tt \:18t=20 [/tex]

[tex] \:\rm \tiny\color{green}t = \frac{10}{9} \\ \\ \tt \: in \: alternative \: form \\ \\ \color{yellow} \rm \: t = 1 \frac{1}{9} \: \: \: or \: \: t = 1.1[/tex]

hope it helps

Answer:

4x^3 - 22x^2 + 6x + 20

Step-by-step explanation:

((b1+b2)/2)(h)

Answer:

Volume;

Let's find the volume of the hemisphere above,

Formula for hemisphere volume:

V = 2/3πr

Where pi(π) is 22/7 or 3.14, and 'r' is the radius.

(extra info:) D/2 = radius

So, diameter in this case is 6,

6/2 = 3 is the radius.

Replace values:-

V = 2/3πr

V = 2/3 x 3.14(3)

V = 2/3 x 9.42

V = 18.84/3

V = 6.28 feet is the volume for the hemisphere.

Now the cylinder's volume,

Cylinder volume formula:

V = π[tex]r^{2}[/tex]h

Where pi(π) is 22/7 or 3.14, 'r' is the radius which is being squared, and 'h' is the height.

Replace values (we figured out radius is 3);

V = π[tex]r^{2}[/tex]h

V = 3.14(3^2) x 10

V = 3.14(9) x 10

V = 28.26 x 10

V = 282.6 feet is the volume of the cylinder.

Add our volumes:-

6.28 + 282.6

= 288.88 feet is our volume.

Surface area;

Now the surface area formula of the cylinder is:

SA = 2πrh(lateral area) + 2π[tex]r^{2}[/tex](area of circle)

Replace values:

SA = 2πrh + 2π[tex]r^{2}[/tex]

SA = 2(3.14) x 10 + 2(3.14) x 3^2

SA = 6.28 x 10 + 6.28 x 9

SA = 62.8 + 56.52
SA = 119.32 is the surface area of the cylinder.

Now the surface area formula of the hemisphere;

SA = 3πr²

Replace values;

SA = 3πr²

SA = 3(3.14) x 3^2

SA = 9.42 x 9

SA = 84.78 is the surface area of the hemisphere.

Add the areas;

119.32 + 84.78

= 204.1 feet is the surface area.

The distance covered by the spy in t hours will be 60t while the special agent's distance is 90t.

The distance covered by the spy in t hours will be calculated thus:

= 60 × t

= 60t

The distance covered by the special agent in t hours will be:

= 90 × t

= 90t

The difference in the distance between them every hour will be:

= 90t - 60t

= 30t

The distance between the spy and special agent when the chase begins will be:

= (2 × 60mph) - 0

= 120m - 0

= 120m

The time taken to catch the spy will be:

120 + 60t = 90t

90t - 60t = 120

30t = 120

t = 120/30 = 4

The special agent will catch the spy in 4 hours.

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Answer:

A: 60t

B: 90t

C: 30 mph

D: 120 miles away

E: 4 hours

F: 120 mph

Step-by-step explanation:

Answer:

graph 1

Step-by-step explanation:

two points have the same X value

Answer: 3(1-4x)

Step-by-step explanation: if you distribute the answer, you will get 3-12x.

Have a nice day!

The amount of yearly take-home pay of Miki, a resident of Kyoto after the payment of income tax is ¥4,792,161.

Percentage of a number is the part of the number expressed in the in every hundred. Percentage of a number is expressed with the percentage symbol '%'.

Miki, a resident of kyoto, earns an annual salary of ¥6,760,950. The Japanese government levies a 29.12% income tax on miki’s tax bracket.

The amount of tax Miki pay to the government as income tax is,

[tex]I=\dfrac{29.12}{100}\times6760950\\I=1968788.64[/tex]

Miki, earns an annual salary of ¥6,760,950. Thus, her yearly take-home pay after the deduction of income tax is,

[tex]M=6760950-1968788.64\\M=4792161.36\\M\approx4792161[/tex]

Thus, the amount of yearly take-home pay of Miki, a resident of Kyoto after the payment of income tax is ¥4,792,161.

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Answer:

A

Step-by-step explanation:

:) good luck