In a science experiment, Shelly has to weigh a compound in grams. The balance in her school measures in milligrams (mg). Shelly finds that the weight of the compound is 8,450 mg. What is the value in grams (g) that Shelly should enter?

Answer: y=30x

top soil is 5 more dollars than mulch

Step-by-step explanation:

to find y=30x

see what y equals when x equals 1

The cost of the topsoil is $5 more than the cost of the mulch.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, the equation, y=25x, represents the cost, y, in dollars, of x cubic yards of mulch at the garden shop.

From the, graph we have coordinates (1, 30) and (2, 60)

We know that, slope of points is (y2-y1)/(x2-x1)

Now, (60-30)/(2-1)

= 30

Substitute, m=30 and (x,y)=(1, 30) in y=mx+c, we get

30=30(1)+c

c=0

Substitute, m=30 and c=0 in y=mx+c, we get

y=30x

Per 1 cubic yard

Topsoil is y=30x=$30 and cost of the mulch is y=25x=$25

So, difference in cost is 30-25=5

Comparing cost in both the situation, the cost of the mulch is less than topsoil

Therefore, the cost of the topsoil is $5 more than the cost of the mulch.

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Answer:

[tex]y = 2(x +3)^2 -2[/tex]

Step-by-step explanation:

Given

[tex](h,k) = (-3,-2)[/tex] --- vertex

[tex](x,y) = (-5,6)[/tex] --- point

Required

Determine the equation

The general form is:

[tex]y = a(x - h)^2 + k[/tex]

First, we solve for a:

Substitute [tex](h,k) = (-3,-2)[/tex] and [tex](x,y) = (-5,6)[/tex] in [tex]y = a(x - h)^2 + k[/tex]

[tex]6 = a(-5 - (-3))^2 - 2[/tex]

[tex]6 = a(-2)^2 - 2[/tex]

[tex]6 = 4a - 2[/tex]

Solve for a

[tex]4a = 6 + 2[/tex]

[tex]4a = 8[/tex]

[tex]a = 2[/tex]

So:

[tex]y = a(x - h)^2 + k[/tex]

[tex]y = 2(x - (-3))^2 -2[/tex]

[tex]y = 2(x +3)^2 -2[/tex]

Answer:

50.8

Step-by-step explanation:

Answer: $49.85

No explanation needed

77

11 X 7 is 77.

if u get two numbers on a shape you just multiply it

Answer:

2

Step-by-step explanation:

Replace t with 6:

g(t) = 2(t-3)-4 becomes g(6) = 2(6-3)-4 = 2(3) - 4 = 6 - 4 = 2

Answer:

Pictograph

Step-by-step explanation:

Answer:

i think its $27.00 with a 20% discount

Step-by-step explanation:

$25 with a 10% discount is $22.50, $26 with a 15% discount is $22.10, and $27 with a 20% discount is $21.60. Therefore the cheapest option is $27.00 with a 20% discount.

Answer: A, D

Step-by-step explanation:

For number 7 the answer is A

For number 8 since you are only moving it is the same size, therefore, producing a congruent image for all 3 of those translation. So for 8 the answer is d.

Answer:

Look Below

Step-by-step explanation:

1) The answer is A. It is A because if you want a reflected images across the Y-Axis, you want just the X value to change. Not the Y. So since the Y is positive and the X is positive, if you want a reflected image you want the X to be negative and the Y to be positive.

2) The answer is D. It is D because those are all forms that will produce a Congruent Image.

If you find any faults in my answer please let me know. Thanks! Have a Good Day!

Answer:

divide both sides by cosx

4 sinx/cosx = 1

4 tanx = 1

tanx = 1/4

x = arctan(1/4) = 14.04°

but the tangent is also positive in quad III

so x = 180+14.04 = 194.04°

x = 14.04° or 194.04°

Step-by-step explanation:

do by this step

The value of x is 75.52°.

Trigonometry is mainly concerned with specific functions of angles and their application to calculations. Trigonometry deals with the study of the relationship between the sides of a triangle (right-angled triangle) and its angles.

For the given situation,

The equation is 4 cos x + 2 = 3 for 0° < x < 360°.

⇒ [tex]4cosx=3-2[/tex]

⇒ [tex]4cosx=1[/tex]

⇒ [tex]cosx=\frac{1}{4}[/tex]

⇒ [tex]x=cos^{-1} (\frac{1}{4} )[/tex]

⇒ [tex]x=75.52[/tex]

Hence we can conclude that the value of x is 75.52°.

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If you mea. 1 . -28 - 20 then the answer is going to be

[tex]1. - 48[/tex]

but if you mean -28 -20 the the answer is going to be

[tex] - 48[/tex]

Answer:

x=4

Step-by-step explanation:

To find x, start with the equation

(7x-5)=33 because you need the two angles to equal each other

7x=28 next subtract 5 from 33 following the rules of PEMDAS

x=4 now you will end up with x=4, after dividing 28 by 4.

Answer:

[tex]350.175 \div 7 \\ 50.025km[/tex]

Slope intercept form is y=mx+b. So let's use the given equation and turn it into this form.

[tex]3x-5y=-30[/tex]

Move the -3x to the right side

[tex]-5y=-3x-30[/tex]

Divide both sides by -5

[tex]y=\dfrac{3}{5}x+6[/tex]

This should be your answer, let me know if you need any clarifications, thanks!

Answer:

11x4=44

Step-by-step explanation:

Answer:

-1 and -5

Step-by-step explanation:

m^2 + 6m + 5 = 0 is factored to: (m + 1)(m + 5) = 0.

The zero product property states that one of the represented parenthesis must equal zero to satisfy the right side of the equation.

(m + 1) = 0

(-1 + 1) = 0

This means that one of the values for m is -1.

(m + 5) = 0

(-5 + 5) = 0

This means that one of the values for m is -5.

Moreover, the value of m by factoring is -1 and -5

Answer:

Step-by-step explanation:

[tex]\sf m^2+6m+5=0[/tex]

Factor, m^2+6m+5

Find, the two numbers that add up to 6 and multiply to 5: 1 and 5

Now, Rewrite the expression:

[tex]\sf (m+1)(m+5)[/tex]

[tex]\sf (m+1)(m+5)=0[/tex]

Now, we will solve the non-linear equation, we can apply the zero product theorem. Each variable factor in the original equation needs to be set to zero.

[tex]\sf m+1=0[/tex]

[tex]\sf m+5=0[/tex]

Now, solve each of the 2 equations:

[tex]\sf m+1=0[/tex]

Subtract 11 from both sides:

[tex]\sf m+5=0[/tex]

Subtract 5 from both sides:

[tex]\sf m=-1,-5[/tex]

________________________________________

Answer:

-16-22-23= -61

Step-by-step explanation:

Hope it was helpful .

Answer:

Step-by-step explanation:

I hope you want the area.

Area = L * W

L = 24x^3

W = 5x^2

Area = 24x^3 * 5x^2

Area = 120 * x^(3 + 2)

Area = 120 * x^5

Note

When you multiply numbers or letters that have powers, if the base for both of them is the same, the powers are added.

The above answer is an example x^2 * x ^3 are letters (x) that are raised to the 2nd power and the 3rd power. You add the powers.

Numbers can do the same thing

64 * 8 = 256

Answer:

x = 0, x = [tex]\frac{b}{a}[/tex]

Step-by-step explanation:

Given

ax² - bx = 0 ← factor out x from each term

x(ax - b) = 0 ← in factored form

Equate each factor to zero and solve for x

x = 0

ax - b = 0 ⇒ ax = b ⇒ x = [tex]\frac{b}{a}[/tex]

Answer:

97 degrees

Step-by-step explanation:

Answer:

97

Step-by-step explanation:

Answer:

28 degrees

Step-by-step explanation:

just subtract 62 from 90

Answer:

The desired divisor is n = 21

Step-by-step explanation:

Let that number be n.  Then:

-15/56        -5

---------- = ---------

     n            6

Through cross-multiplication we get:

(-15/56)*6 = -5n, which reduces to:

(-15)(7) = -5n, or 3(7) = n

The desired divisor is n = 21

Answer:

d≈14.99ft

Step-by-step explanation:

Answer:

168 ounces

Step-by-step explanation:

24X7= 168

Answer:

24 times 7=168

Step-by-step explanation:

Hope this helps :)

Answer:

4,886.83feet

Step-by-step explanation:

The question will result in a right triangle with

Opposite = distance of the balloon above the ground = 950feet

Angle of elevation = 11 degrees

Required

Horizontal distance h (adjacent)

Using SOH CAH TOA identity

Tan theta =opp/adj

Tan 11 = 950/h

h = 950/tan 11

h = 950/0.1944

h = 4,886.83feet

Hence the horizontal distance from the balloon to the ground crew is 4,886.83feet

Answer:

Step-by-step explanation:

If the slope of this line is -4 and the y-intercept is 0, then we can write the slope-intercept equation for this line as

y = -4x + 0, or just y = -4x