Round to nearest tenth and solve for x

Answer:

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Step-by-step explanation:

equation of line will be

y+1=1/2(x+2)

Hello!

Let's write the equation of the line in both Point-Slope Form and Slope-Intercept Form.

First, point-slope form:

y-y1=m(x-x1)

y-(-1)=1/2(x-(-2) (Point-Slope Form)

Now, convert into Slope-Intercept form:

y+1=1/2(x+2)

y+1=1/2x+1

y=1/2x+1-1

y=1/2x

Hence, the equation of the line is

[tex]\boxed{\boxed{\bold{y=\frac{1}{2}}} }[/tex] (Slope-Intercept Form)

Hope everything is clear.

Let me know if you have any questions!

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:-)

Answer:

-12

Step-by-step explanation:

h(x) = ½x - 14 where x = 4:

h(4) = ½(4) - 14

= 2 - 14

= -12

Answer:

10°

Step-by-step explanation:

According remote interior angles, 4k + 5 + 6k + 10 = 115.

10k + 15 = 115

10k = 100

k = 10

Hope this helps :)

Have a nice day!

Answer:

k = 10°

Step-by-step explanation:

      According to the exterior angle theorem, the exterior angle will be equal to the two opposite inside angles added together. It will look like the following, and we solve for k from there.

115° = (4k + 5)° + (6k + 10)°

115° = 4k° + 5° + 6k° + 10°

115° = 6k° + 4k° + 10°  + 5°

115° = 10k° + 15°

100° = 10k°

10° = k

k = 10°

Since v is a vector of magnitude 4 and makes angle 30° with the positive x axis, vector v in component form is v = 2√3i + 2j

To find vector v in component form, we need to know what a vector is

A vector is a physical quantity that has both magnitude and direction.

A vector can be resolved into perpendicular components along the x, y and z axis.

Since vector v has a magnitude of 4 making an angle of 30 with the positive x - axis, its x-component is V = (vcos30°)i

= (4cos30°)i

= (4 × √3/2)i

= 2√3i.

The y-component of v is V' = (vsin30°)j

= (4 × sin30°)j

= (4 × 1/2)j

= 2j

So, vector v in component form is v = V + V'

= 2√3i + 2j

So, since v is a vector of magnitude 4 and makes angle 30° with the positive x axis, vector v in component form is v = 2√3i + 2j

Learn more about vectors here:

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Answer:

[tex]y = {4}^{x} [/tex]

is the answer

Answer:

-148/3 or -49.3

Step-by-step explanation:

Let us consider a 30°-60°-90°△ABC right angled at B in which ∠C = 30⁰ and ∠A = 60⁰ with hypotenuse AC = 10√2 units.

In △ABC,

[tex]\longrightarrow[/tex]sin ∠C = [tex]\sf \dfrac{Perpendicular}{Hypotenuse}[/tex]

[tex]\longrightarrow[/tex]sin ∠C = [tex]\sf \dfrac{AB}{AC}[/tex]

[tex]\longrightarrow[/tex]sin 30⁰ = [tex]\sf \dfrac{AB}{10\sqrt{2}}[/tex]

[tex]\longrightarrow[/tex][tex]\sf \dfrac{1}{2}= \dfrac{AB}{10\sqrt{2}}[/tex]

[tex]\longrightarrow[/tex][tex]\sf AB = \dfrac{10\sqrt{2}}{2}[/tex]

[tex]\longrightarrow[/tex][tex]\sf AB = 5\sqrt{2}\:units[/tex]

[tex]\\[/tex]

In △ABC,

[tex]\longrightarrow[/tex]cos ∠C = [tex]\sf \dfrac{Base}{Hypotenuse}[/tex]

[tex]\longrightarrow[/tex]cos ∠C = [tex]\sf \dfrac{BC}{AC}[/tex]

[tex]\longrightarrow[/tex]cos 30⁰ = [tex]\sf \dfrac{BC}{10\sqrt{2}}[/tex]

[tex]\longrightarrow[/tex][tex]\sf \dfrac{\sqrt{3}}{2}= \dfrac{BC}{10\sqrt{2}}[/tex]

[tex]\longrightarrow[/tex][tex]\sf BC = \dfrac{10\sqrt{2}\times \sqrt{3}}{2}[/tex]

[tex]\longrightarrow[/tex][tex]\sf BC = \dfrac{10\sqrt{2\times 3}}{2}[/tex]

[tex]\longrightarrow[/tex][tex]\sf BC = \dfrac{10\sqrt{6}}{2}[/tex]

[tex]\longrightarrow[/tex][tex]\sf BC = 5\sqrt{6}\: units[/tex]

Thus , the length of other two sides of triangles are 5√2 and 5√6 units.

The volume of the half part of a cylinder of 60 cm high and 14 cm in diameter is 1470π cm³.

volume of a cylinder = πr²h

where

Therefore,

r = 14 / 2 = 7 cm

h = 60 cm

volume of the cylinder = π × 7² × 60

volume of the cylinder = π × 49 × 60

volume of the cylinder = 2940π cm³

The volume of the half part = 2940π / 2 = 1470π cm³

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Answer:

  (c)  $80

Step-by-step explanation:

Each discounted price corresponds to the original price multiplied by a factor related to the discount. For a discount fraction of 'd', the multiplier is (1 -d).

This means you can use any of the lines in the table to find the original price.

  5% disount: (1 -5%)·p = $76 . . . . where p is the original price

     p = $76/0.95 = $80 . . . . . . . the original price

  10% discount: (1 -10%)·p = $72

     p = $72/0.90 = $80

  25% discount: (1 -25%)·p = $60

     p = $60/0.75 = $80

_____

Additional comment

The table values for 5% and 10% differ by 5% and $4. That means 5% of the original price is $4. There are two things you can do with this:

Answer:

Sorry let me try to understand the question

Step-by-step explanation:

The domain of the function r(x) is (0, 200).

The revenue earned when the price is $30 is $20400.

The rule for the function r(x) is x(800 - 4x).

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

Demand:

d(x) = 800 - 4x

Price = x

Revenue = Price x demand

Revenue = r(x)

A)

The rule for r(x).

r(x) = x d(x) = x(800 - 4x)

The domain of r(x) is 0 < x < 200 i.e (0, 200).

B)

x = 30

r(x) = 30(800 - 4 x 30)

r(x) = 30(800 - 120) = 30 x 680 = 20400

C)

r(x) = x(800 - 4x)

Thus,

The answers are given above.

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Based on the amount that Noel cashed in each of her most recent paychecks, the amount she spent in total is $10.99.

The bank directory shows that you are charged 1.99% of the amount being cashed as well as a check processing fee of $1.39.

The amount Noel spent is therefore:

= (1.99% x 100.53) + (1.99% x 119.38) + (1.99% x 122.52) + (1.39 x 3 checks)

= 2.00 + 2.38 + 2.44 + 4.17

= $10.99

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Answer:

273cm

Step-by-step explanation:

21 times 13 is 217. That is how you find out the area of parallelogram, (base times peperndicular heigh)

Answer:

answer is 16.5

Step-by-step explanation:

answer is 16.5

Answer:

B=5

Step-by-step explanation:

If 7 plus a equals 9 then a would equal 2.

2+8=b+5

10=b+5

Ask yourself what number plus 5 equals 10

B is 5 because 5 plus 5 is 10

Answer:

-3

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

that the answer

calculate them

Answer:

see my question and come there now I want to talk with you

Step-by-step explanation:

Goal: illustrates radius, diameter, chord, center, arc, central angle, and

inscribed angle.

Role: Garden Designer/Landscape Architect

Audience: Math Teacher

Situation: A certified plantita and backyard owner plans to have a unique

garden. As a Landscape Architect, you are asked to make a sample layout of

a circular garden. She asks you to include the following on her garden:

● well

● pond

● bridge

● fountain

● walkways

● benches or chairs

● entrance and exit gates.

● trees, ornamental plants, and herbs

Procedure:

1. Draw a circle.

2. Conceptualize a circular garden and layout using the specified

items mentioned above.

What I Can Do

9

DISCIPLINE • GOOD TASTE • EXCELLENCE

3. Label the parts of circle formed on the garden layout

Please I'm looking for a serious answer. I need to pass this on monday. Thank you.

Answer: 13 [tex]\frac{1}{3}[/tex] pounds

Step-by-step explanation:

     We will set up a proportion. I will have the weight, in pounds, on the top (numerator) and the length, in inches, on the bottom (denominator).

[tex]\frac{12}{36} =\frac{x}{40}[/tex]

     Cross-multiply:

36 * x = 12 * 40

36x = 480

     Divide both sides of the equation by 36:

x = 13 [tex]\frac{1}{3}[/tex] pounds

Answer:

Step-by-step explanation:

First find unit weight.

1 foot = 12 inches

3 ft = 3*12 = 36 inches

3ft 4 inches = 36 + 4 = 40inches

Weight of 36 inches  long bar =   12  pounds

Weight of 1 inch bar = 12/36

[tex]\text{Weight of 40 inches long bar = $\dfrac{12}{36}*40$}[/tex]

                                             = 13.3 pounds

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\pounds 2000\\ r=rate\to 3\%\to \frac{3}{100}\dotfill &0.03\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{per year, thus once} \end{array}\dotfill &1\\ t=years\dotfill &2 \end{cases} \\\\\\ A=2000\left(1+\frac{0.03}{1}\right)^{1\cdot 2}\implies A=2000(1.03)^2\implies A=2121.8[/tex]

Answer:

2,121.8

Step-by-step explanation:

2000(1.03)^2

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Answer:

70 stops

Step-by-step explanation:

To find the amount of stops it makes in an hour, do 28 stops ÷ 2 hours, which will give you 14 stops in one hour.

Then do 14 stops × 5 hours, which would give you 70 stops.

Here's the notation if you want to make it look pretty:

 [tex]5(\frac{28}{2} )=70[/tex]

Answer:

Maximum

Step-by-step explanation:

At the vertex the function is at aits maximum value.

The object attached to a string illustrates a sinusoidal trigonometric function

The trigonometric function is H(t) = 5sin(π/2(t-0.2))-20, and the object's height after 0.6 seconds is  -17.06 cm

The trigonometry model of the object is a sine function represented by:

H(t) = Asin(B(t - c)) + D

The maximum height is 5 cm.

So, we have:

Amplitude, A = 5

The average height is - 20 cm.

So, we have

Vertical shift, D = -20

Its first average height is at t = 0.2.

So, we have:

Horizontal shift, C = 0.2

The period B is then calculated as:

B = π/t

The object reaches the maximum height every 2 seconds.

So, we have:

B = π/2

Substitute these values in H(t) = Asin(B(t - c)) + D

H(t) = 5sin(π/2(t-0.2))-20

Hence, the trigonometric function is H(t) = 5sin(π/2(t-0.2))-20

Substitute 0.6 for t in H(t)

H(0.6) = 5sin(π/2(0.6-0.2))-20

Evaluate

H(0.6) = -17.06

Hence, the object's height after 0.6 seconds is  -17.06 cm

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Answer:

What is the importance of biology laboratory?

Biological Science Laboratory Apparatus is essential for meeting our basic needs of food, clothing, shelter, health, energy, clean air, water and soil. Biological Science Laboratory Apparatus enrich the quality of life in numerous ways by providing new solutions to problems in health and materials and energy usage.

Answer: 8 plays.

Step-by-step explanation: I might be missing something here, but it says at least 1 times as many plays?? 8 * 1 = 8, so I guess 8 plays?

Answer:80.8%

Step-by-step explanation:

£1200=100%

£970=

£970*100%/£1200=80.8333333

80.8%

Answer:

19.2%.

Step-by-step explanation:

Reduction = 1200-970 = £230,

% reduction = 230*100/ 1200

= 19,2%

Answer:

x = -1

Step-by-step explanation:

2x + 5x = -7

7x = -7

x = -1

Answer:

N = -1

explanation:

x = N

solving steps:

[tex]\sf f(x)=x^2+2x-15[/tex]

To find symmetry of a quadratic function.

                                                                   vertex formula    :   [tex]\sf x=\dfrac{-b}{2a}[/tex]

[tex]a=1,\:b=2[/tex]

[tex]\sf x=\dfrac{-2}{2\cdot \:1}[/tex]

[tex]\sf x = -1[/tex]

Then,

N = -1

Explanation:

To go from km to meters, multiply by 1000

This is because 1 km = 1000 meters