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4 years ago

5

melissa bought a cake that cost $75 the sales tax rate is ten percent what is the total amount she paid for the cake

1 answer:

Nady [450]4 years ago

6 0

Multiply, because the total price is ten percent more than the original: $75 x 1.1 = <span>$82.5</span>

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If ( f ∘ g)(x) = x2 - 6x + 8 and g(x) = x - 3, what is f(x)?

DochEvi [55]

$\bf \begin{cases}
(f\circ g)(x)=x^2-6x+8\\\\
(f\circ g)(x)=f(~~g(x)~~)\\\\
g(x)=x-3\\
\end{cases}
\\\\\\
\textit{now, one probability is }x^2-1
\\\\\\
f(x)=x^2-1\implies f(~~g(x)~~)=(x-3)^2-1
\\\\\\
f(~~g(x)~~)=(x^2-6x+9)-1\implies f(~~g(x)~~)=x^2-6x+8$

5 0

3 years ago

Solve this system of linear equations. Separate

amid [387]

Answer:

the answer is 396 beacsue i followed yiur instucton on the note answer.

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

The equation of a circle is given below.

BARSIC [14]

<u>Given</u>:

The equation of the circle is $x^2+(y+4)^2=64$

We need to determine the center and radius of the circle.

<u>Center</u>:

The general form of the equation of the circle is $(x-h)^2+(y-k)^2=r^2$

where (h,k) is the center of the circle and r is the radius.

Let us compare the general form of the equation of the circle with the given equation $x^2+(y+4)^2=64$ to determine the center.

The given equation can be written as,

$(x-0)^2+(y+4)^2=64$

Comparing the two equations, we get;

(h,k) = (0,-4)

Therefore, the center of the circle is (0,-4)

<u>Radius:</u>

Let us compare the general form of the equation of the circle with the given equation $x^2+(y+4)^2=64$ to determine the radius.

Hence, the given equation can be written as,

$x^2+(y+4)^2=8^2$

Comparing the two equation, we get;

$r^2=8^2$

$r=8$

Thus, the radius of the circle is 8

3 0

4 years ago

It is believed that 11% of all Americans are left-handed. In a random sample of 100 students from a particular college with 1012

tia_tia [17]

Answer:

Step-by-step explanation:

We can calculate this confidence interval using the population proportion calculation. To do this we must find p' and q'

Where p' = 14/100= 0.14 (no of left handed sample promotion)

q' = 1-p' = 1-0.14= 0.86

Since the requested confidence level is CL = 0.98, then α = 1 – CL = 1 – 0.98 = 0.02/2= 0.01, z (0.01) = 2.326

Using p' - z alpha √(p'q'/n) for the lower interval - 0.14-2.326√(0.14*0.86/100)

= -2.186√0.00325

= -2.186*0.057

= 12.46%

Using p' + z alpha √(p'q'/n)

0.14+2.326√(0.14*0.86/100)

= 0.466*0.057

= 26.5%

Thus we estimate with 98% confidence that between 12% and 27% of all Americans are left handed.

6 0

3 years ago

Find the slope of the line.

Nady [450]

Answer:

The answer is -2

Step-by-step explanation:

It goes down 2 and the line is to the left, meaning its negative :)

7 0

3 years ago