Solve
7x + 10 = 3x + 13​

Answer:

Step-by-step explanation:

according the the pythogryamthreme the distance between 30 degress and 40 would vary since the length of 40 would change there by multipling 2 to 40 and 30 then times that by pie then divide it by 2 you should get the value for x, but for y it is more complex you see you much find the slope and plabora of the value x and 40 then using the 2 numbers times it by 30 after divide both numbers to each other resulting in the answer

Answer:

32y^18/27x^4

Step-by-step explanation:

I factored the numerator and denominator and canceled the common factors

Answer:

720

Step-by-step explanation:

60×12=720 so the monthly yearly coast would be 720

Answer:

3^5

Step-by-step explanation:

Answer:

87.4°

Step-by-step explanation:

(3x + 8) + (3x + 18) + (7x + 9) = 180

3x + 8 + 3x + 18 + 7x + 9 = 180

add the common numbers

13x + 35 = 180

subtract 35

13x = 145

divide 13

x = 11.2

then plug it back in to m<3

7(11.2) + 9

78.4 + 9

= 87.4°

Answer:

c²=a²+b²

17²=289

10²100

a=√(17²-10²)

so 289-100=189

square root answer

=13.7477270849

Answer:13.75

Answer:

$45 * X weeks = Y money

Step-by-step explanation:

Answer:

The answer is D.

Step-by-step explanation:

Answer:

[tex]\displaystyle \frac{d}{dx} \Big [ \frac{3}{x^2} \Big ]=-\frac{6}{x^3}[/tex]

Step-by-step explanation:

We can use either the Power Rule or the Quotient Rule to find the derivative of 3/x².

Rewrite [tex]\displaystyle \frac{3}{x^2}[/tex] as [tex]\displaystyle 3\cdot \frac{1}{x^2}[/tex] which is equivalent to [tex]3\cdot x^-^2[/tex].

Now we can apply the power rule to 3x⁻². Subtract 1 from the exponent and multiply the coefficient by -2.

This can be rewritten as [tex]\displaystyle -\frac{6}{x^3}[/tex].

Substituting 3 for f(x) and x² for g(x), we get:

Simplify.

Using exponent rules, we can rewrite this as:

This can be rewritten as [tex]\displaystyle -\frac{6}{x^3}[/tex], which is the same as what we got using the product rule.

Answer:

[tex]\displaystyle \frac{d}{d x}\left[\frac{3}{x^2}\right] = -\frac{6}{x^{3}}[/tex].

Step-by-step explanation:

Let [tex]f(x)[/tex] and [tex]g(x)[/tex] denote two functions of [tex]x[/tex]. Assume that [tex]g(x) \ne 0[/tex]. The quotient rule states that:

[tex]\displaystyle \frac{d}{d x}\left[\frac{f(x)}{g(x)}\right] = \frac{{f}^\prime(x) \cdot g(x) - f(x) \cdot g^{\prime}(x)}{{(g(x))}^2}[/tex].

In this question:

Find [tex]{f}^{\prime}(x)[/tex] and [tex]{g}^{\prime}(x)[/tex].

Notice that the value of [tex]f(x)[/tex] is constantly [tex]3[/tex] regardless of the value of [tex]x[/tex]. By the constant rule, [tex]{f}^{\prime}(x) = 0[/tex].

For [tex]{g}^{\prime}(x)[/tex], consider the power rule:

if [tex]m[/tex] represents a rational number (such as [tex]2[/tex],) then by the power rule, [tex]\displaystyle \frac{d}{d x}\left[{x}^{m}\right] = m\, {x}^{m-1}[/tex].

Apply this rule to find [tex]{g}^{\prime}(x)[/tex].

[tex]\begin{aligned}{g}^{\prime}(x) &= \frac{d}{d x} \left[x^{2}\right] \\ &= 2\, x^{2 - 1} \\ &= 2\, x\end{aligned}[/tex].

Substitute [tex]f(x) = 3[/tex], [tex]{f}^{\prime}(x) = 0[/tex], [tex]g(x) = x^{2}[/tex], and [tex]{g}^{\prime}(x) = 2\, x[/tex] into the quotient rule expression to find [tex]\displaystyle \frac{d}{d x}\left[\frac{3}{{x}^{2}}\right][/tex]:

[tex]\begin{aligned}&\; \frac{d}{d x}\left[\frac{3}{{x}^{2}}\right] \quad \genfrac{}{}{0em}{}{\leftarrow f(x) = 3}{\leftarrow g(x) = {x}^{2}} \\ =&\; \frac{d}{d x}\left[\frac{f(x)}{g(x)}\right]\\ =&\; \frac{{f}^\prime(x) \cdot g(x) - f(x) \cdot g^{\prime}(x)}{{(g(x))}^2} \\ =& \; \frac{0 \, x^2 - 3\, (2\, x)}{\left({x}^{2}\right)} \\ =&\; -\frac{6}{x^{3}}\end{aligned}[/tex].

Therefore, [tex]\displaystyle \frac{d}{d x}\left[\frac{3}{{x}^{2}}\right] = -\frac{6}{x^{3}}[/tex].

Answer:

the price per gallon for each drink is $4.5 and $4.75 respectively

Step-by-step explanation:

The computation of the price per gallon for each drink is as follows;

Let us assume the ice tea be x

And, lemonade be y

So the equations are

2x +  3y = $23.25 .......(i)

5x + 4y = $41.50     ................(ii)

Now multiplied by 5 and 2 in equation 1 and 2

10x + 15y = $116.25

10x + 8y = $83

7y = 33.25

y = $4.75

Now put the y value in any of the equation

2x + 3($4.75) = $23.25

x = $4.5

So, the price per gallon for each drink is $4.5 and $4.75 respectively

it is -23 I think

Step-by-step explanation:

(-5)+(-18)=-23

Answer:

No

Step-by-step explanation:

plug in the variables into the equation

(x,y)

(-1,2)

2(-1)+2=2

2*-1=-2

-2+2=0

2 does not equal 0 so therefore no, it is not a solution

Answer:

20.625 ft²

(hope this is right :)

Answer:

Yes

Step-by-step explanation:

A function is where each x value maps to one y-value -> and that is true here.

Even though the 5 is repeated, different x-values are used, so that is okay.

It would just be a straight line.

Step-by-step explanation:

Y= 3x + b

As, to know the total, which is y, we need to solve for the cost

So first for money per square foot = $3

For square foot = x

So, price for x square foot = $3x (here this is the value of m)

Now, for value b,

$100 is added to the cost as its the charge, as the flat fee

So the value of b = $100

So, y=3x+100

Answer:B. 0.27

Step-by-step explanation:

Answer:

both I think hope u get it right

Answer:

[tex]-3\leq x[/tex] < 6

third answer choice

Step-by-step explanation:

These relations all follow from the identity,

sin(x - y) = sin(x) cos(y) - cos(x) sin(y)

Notice that 160° = 180° - 20°, so if x = 180° and y = 20° above, we get

sin(160°) = sin(180°) cos(20°) - cos(180°) sin(20°)

We know sin(180°) = 0 and cos(180°) = -1, so we end up with

sin(160°) = sin(20°)

For the other, notice that 200° = 360° - 160°, and 340° = 360° - 20°.

Answer:

Step-by-step explanation:

sin 20 is the same as sin 60 because 180-60=20. sin 20 is the same as -sin200 because 200-180=20

sin 340 is the same as sin 20 because 360-340=20. So all four of these connect and they all equal 20. Also, they all equal .3420 (rounded)

Answer:

At least 15 weeks

Step-by-step explanation:

If Ella needs at least $360, she will have to save her $25 constantly for about 15 weeks.

25*15=375, which is more than 360, so she will have leftover money.

Answer:

2 weeks + 1day

Step-by-step explanation:

7 days a week. 7 + 7 = 14

25 x 14 = $350, missing another 10 dollars.

25 x 15(adding a extra day) = 275.

in change, you have 15 dollars left.

9514 1404 393

Answer:

  470.16 cm²

Step-by-step explanation:

The apothem of the base is used for two purposes: to find the area of the base, and to find the slant height of each face.

The apothem of the base for side length s is ...

  s/2 = a·tan(π/8)

  a = s/(2·tan(π/8)) ≈ 7.24 cm

The slant height of a triangular face is found using the Pythagorean theorem. The apothem of the base and the height are legs of the right triangle whose hypotenuse is the slant height. For slant height x, we have ...

  x² = 10² + a² = 100 +52.46

  x ≈ √152.46 ≈ 12.35

__

The area of the 8 triangular faces will be ...

  A = 1/2Px . . . . where P is the perimeter of the pyramid

The area of the base will be ...

  A = 1/2Pa

So, the total surface area is ...

  A = 1/2P(a + x) = (1/2)(8)(6 cm)(7.24 +12.35 cm) ≈ 470.16 cm²

The answer is 470.16 cm²

Answer:

42 people are wearing sunscreen

Step-by-step explanation:

Step one:

given data

We are given that the ratio of those wearing sunscreen to those not wearing sunscreen was 7 to 5.

i.e 7:5

number of people not wearing sunscreen is 30

let us use part to part method to solve this problem

let the number of people wearing sunscreen be x

so,

7/5= x/30

cross multiply we have

5x=210

divide both sides by 5

x= 210/5

x=42 people are wearing sunscreen

Answer:

I think the answer is 42 to 30. 42 kids wearing sunscreen and 30 kids were not. 30 divided by 5 is 6. 6 x 5 is 30. so 6 x 7 is 42. Hence 42 to 30. :)

Answer:

Step-by-step explanation:

your mom

Answer:

9. 5

10. 3

11. 1

12. 7

13. 48

14. 24

15. 9

16. 6

Answer:

807.21

Step-by-step explanation:

for the 1 % decrease

1/100 × 784 = 7.84

784 - 7.84 = 776.16

then 4% increase

4/100 × 776.16 = 31.0464

776.16 + 31.0464= 807.2064

in 2 Decimal places

807.21

Answer:890

Step-by-step explanation: