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3 years ago

Es

Mathematics

1 answer:

docker41 [41]3 years ago

4 0

Answer:

x can be any value

Step-by-step explanation:

x can be any value and its output is always a constant 8.

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Gabrielle took a Spanish test with 50 questions and answered 44 of them correctly. What percent of the questions did Gabrielle a

mrs_skeptik [129]

She answered 88% correct. 44 times 2 is 88.

7 0

3 years ago

Read 2 more answers

Select the correct answer from each drop-down menu.

serious [3.7K]

Answer:

Center: (4,8)

Radius: 2.5

Equation: $(x-4)^2+(y-8)^2=6.25$

Step-by-step explanation:

It was given that; the endpoints of the longest chord on a circle are (4, 5.5) and (4, 10.5).

Note that the longest chord is the diameter;

The midpoint of the ends of the diameter gives us the center;

Use the midpoint formula;

$(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )$

The center is at; $(\frac{4+4)}{2} ,\frac{5.5+10.5}{2}=(4,8)$

To find the radius, use the distance formula to find the distance from the center to one of the endpoints.

The distance formula is;

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$r=\sqrt{(4-4)^2+(10.5-8)^2}$

$r=\sqrt{0^2+(2.5)^2}$

$r=\sqrt{0^2+(2.5)^2}=2.5$

The equation of the circle in standard form is given by;

$(x-h)^2+(y-k)^2=r^2$

We substitute the center and the radius into the formula to get;

$(x-4)^2+(y-8)^2=2.5^2$

$(x-4)^2+(y-8)^2=6.25$

6 0

3 years ago

Supriya invested $14,320 in a highly rated ETF. At the end of four years, she had $18,434. What was her annual effective yield o

adoni [48]

Answer:

6.517%

Step-by-step explanation:

This is a multi-year investment and we are not working with a $1 initial investment. There is no mention of compounding so we will use formula A=P0⋅(1+r)N with A=$18,434 and P0=$14,320. We do not know the value of r. However, N=4 years. Substituting the values we have $18,434=$14,320⋅(1+r)4. Divide both sides of the equation by $14,320. Next, take the fourth root of both sides of the equation and subtract 1 to find the decimal form of r.

$18,4341.287291.065170.06517=$14,320⋅(1+r)4=(1+r)4=1+r=r

Finally, convert r to a percent.

r=0.06517×100%=6.517%

6 0

3 years ago

Q.1 What value of p will make this equation true?

gtnhenbr [62]

Answer:

$1. \: p = 10 \\ 2. \: x = 4$