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Luba_88 [7]
3 years ago
14

Which expression is equivalent to the one in the picture?

Mathematics
1 answer:
Ne4ueva [31]3 years ago
5 0

Answer:

d.

Step-by-step explanation:

To convert a root to a fraction in the exponent, remember this rule:

\sqrt[n]{a^{m}}=a^{\frac{m}{n}}

The index becomes the denominator in the fraction. (The index is the little number in front of the root, "n".) The original exponent remains in the numerator.

In this question, the index is 4.

The index is applied to every base in the equation under the root. The bases are 16, 'x' and 'y'.

\sqrt[4]{16x^{15}y^{17}} = (\sqrt[4]{16})(\sqrt[4]{x^{15}})(\sqrt[4]{y^{17}}) = (2)(x^{\frac{15}{4}}})(y^{\frac{17}{4}}) = 2x^{\frac{15}{4}}}y^{\frac{17}{4}}

To find the quad root of 16, input this into your calculator. Since 2⁴ = 16, \sqrt[4]{16} = 2.

For the "x" and "y" bases, use the rule for converting roots to exponent fractions. The index, 4, becomes the denominator in each fraction.

2x^{\frac{15}{4}}y^{\frac{17}{4}}

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Sara can type 90 words in 4 minutes. About how many words would you expect her to type in 10 minutes at this rate?
Talja [164]

Answer:

She can type 225 words in 10 minutes

Step-by-step explanation:

We can find the rate by dividing the number of words by the time

90 words/ 4 minutes

22.5 words per minute

Now  to find the number of words in 10 minutes, multiply the rate times the time

22.5 * 10 = 225

She can type 225 words in 10 minutes

5 0
3 years ago
Read 2 more answers
Ana fue a comprar pan, compró 7 bolillos de $ 1.45, 3 panes de dulce de $ 7.60 y 4 panes de dulce de $ 8.40. ¿Cuánto pagó en tot
xz_007 [3.2K]

Answer:

$66.50

Step-by-step explanation:

Given that

she bought seven 1.45 rolls

Three 7.60 sweet loaves

and four 8.40 sweet rolls

We need to find out how much she paid in total

So,

= 7 × 1.45 + 3 × 7.60 + 4 × 8.40

= $10.15 + $22.80 + $33.60

= $66.50

Hence, she paid in total of $66.50

The same would be considered and relevant

6 0
2 years ago
An airplane can cruise at 570 mph. How far can it fly in 4/3 hours?
cestrela7 [59]

Answer:

The plane can fly 760 miles in 4/3 hours.

Step-by-step explanation:

Given that:

An airplane can cruise at 570 miles per hour.

We have to find the distance travelled by train in 4/3 hours.

Distance = Speed * Time

Distance = 570*\frac{4}{3}

Distance = \frac{2280}{3}

Distance = 760 miles

Hence,

The plane can fly 760 miles in 4/3 hours.

5 0
3 years ago
the standard for of the equation of a parabola is y=x^2+4x+11. What is the vertex for of the equation?
Eva8 [605]
Convert to vertex form

or easier
for y=ax²+bx+c
the x value of the vertex is \frac{-b}{2a}
and the y value is found by subsituting the x value in for x

so
y=1x²+4x+11
a=1
b=4

the x value of the vertex is \frac{-4}{2(1)}=\frac{-4}{2}=-2

the y value is found by subsituting -2 for x
y=(-2)²+4(-2)+11
y=4-8+11
y=7

the vertex is (-2,7)
6 0
3 years ago
A line passes through the points (–10, –10) and (–5, –10). What is its equation in slope-intercept form?
umka2103 [35]

Answer:

Step-by-step explanation:

(x₁, y₁) = (-10, -10)   & (x₂, y₂) = (-5, -10)

y-intercept = b = -10

There is no change in y- coordinates. So, the line is parallel to x- axis

Slope = 0

Equation: y = b

y = -10

         

5 0
2 years ago
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