Shane said that he could write related multiplication and addition sentences for 6+4+3. Does Shanes statement make sense?

Madison gets a 2% raise every year. She made a salary of $54,000 this year how much will she make next year.

ZanzabumX [31]

Answer:

55080

Step-by-step explanation:

She makes 54,000 this year

she gets a 2% raise

her increase will be

54000*.02 =1080

The new salary will be

54000+1080

55080

6 0

2 years ago

Read 2 more answers

7^x=3^[x+4] solve x using logarithmic

Andrei [34K]

By taking advantage of the definition of exponential and logarithmic function and their inherent relationship we conclude that the solution is x = 4 · ㏒ 3/(㏒ 7 - ㏒ 3).

<h3>How to solve an exponential equation by logarithms</h3>

Exponential and logarithmic functions are trascendental functions, these are, functions that cannot be described algebraically. In addition, logarithmic functions are the inverse form of exponential functions. In this question we take advantage of this fact to solve a given expression:

7ˣ = 3ˣ⁺⁴ Given
㏒ 7ˣ = ㏒ 3ˣ⁺⁴ Definition of logarithm
x · ㏒ 7 = (x + 4) · ㏒ 3 ㏒ aᵇ = b · ㏒ a
x · ㏒ 7 = x · ㏒ 3 + 4 · ㏒ 3 Distributive property
x · (㏒ 7 - ㏒ 3) = 4 · ㏒ 3 Existence of additive inverse/Modulative and associative properties
x = 4 · ㏒ 3/(㏒ 7 - ㏒ 3) Existence of multiplicative inverse/Modulative property/Result

By taking advantage of the definition of exponential and logarithmic function and their inherent relationship we conclude that the solution is x = 4 · ㏒ 3/(㏒ 7 - ㏒ 3).

To learn more on logarithms: brainly.com/question/20785664

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4 0

1 year ago

Eliminate the parameter,t, in the parametric equation, x=6cos t, and y =3 sin t

german

X = 6 cos(t)
y = 3 sin(t)

we can rewrite these equations as:

$\frac{x}{6}=cost(t) \\ \\ \frac{y}{3} =sin(t)$

Taking squares of both equations we get:

$( \frac{x}{6})^{2}=sin^{2} (t) \\ \\ 
( \frac{y}{3})^{2}=cos^{2}(t)$

Adding both the equations, we get:

$\frac{ x^{2} }{36}+ \frac{ x^{2} }{9}=sin^{2}(t)+cos^{2}(t) \\ \\ 
 \frac{ x^{2} }{36}+ \frac{ x^{2} }{9}=1$

6 0

2 years ago

Help with this question please!

vova2212 [387]

V = 120 in^3

Here is why:

The volume formula for a pyramid is:

$V=\frac{1}{3}Bh$

The B stands for the area of the base, which in this case is a right triangle. We will find the area of the right triangle first, then plug it into the equation.

The area formula for a triangle is:

$A=\frac{1}{2}bh$