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3 years ago

Select the equivalent expression

Mathematics

1 answer:

Svetach [21]3 years ago

3 0

$\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}$

Actually Welcome to the Concept of the Exponents ans Indices.

Since we know that, something inverse is a reciprocal.

that, (a) ^-1 = 1/a and (a^m)^n = a^m*n

so applying this we get as,

Option B.

==> 4^15 . 5^10

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I need help so i know what to do for test ?

Paraphin [41]

Answer:

y = -4

Step-by-step explanation:

See attached worksheet.

6 0

2 years ago

Life tests on a helicopter rotor bearing give a population mean value of 2500 hours and a population standard deviation of 135 h

stira [4]

Answer:

The percent of the parts are expected to fail before the 2100 hours is 0.15.

Step-by-step explanation:

Given :Life tests on a helicopter rotor bearing give a population mean value of 2500 hours and a population standard deviation of 135 hours.

To Find : If the specification requires that the bearing lasts at least 2100 hours, what percent of the parts are expected to fail before the 2100 hours?.

Solution:

We will use z score formula

$z=\frac{x-\mu}{\sigma}$

Mean value = $\mu = 2500$

Standard deviation = $\sigma = 135$

We are supposed to find If the specification requires that the bearing lasts at least 2100 hours, what percent of the parts are expected to fail before the 2100 hours?

So we are supposed to find P(z<2100)

so, x = 2100

Substitute the values in the formula

$z=\frac{2100-2500}{135}$

$z=−2.96$

Now to find P(z<2100) we will use z table

At z = −2.96 the value is 0.0015

So, In percent = $.0015 \times 100=0.15\%$

Hence The percent of the parts are expected to fail before the 2100 hours is 0.15.

5 0

3 years ago

Max buys six donuts and a 300ml carton of juice for $3.50,susie buys four donuts and two 300ml carton of juice for $3.00,ben buy

Ivanshal [37]

Complete Question

Max buys six donuts and a 300ml carton of juice for $3.50,susie buys four donuts and two 300ml carton of juice for $3.00,ben buys eight donuts and five 300ml carton of juice for $6.50 How much is one donut? How much is one carton of drink

Answer:

The cost of

1 donut = x = $0.50

300ml carton of juice = y = $0.50

Step-by-step explanation:

Let the cost of

1 donut = x

300ml carton of juice = y

Max buys six donuts and a 300ml carton of juice for $3.50

6x + y = 3.50.....Equation 1

y = 3.50 - 6x

Susie buys four donuts and two 300ml carton of juice for $3.00

4x + 2y = 3...... Equation 2

Ben buys eight donuts and one 300ml carton of juice for $6.50

8x + 5y = 6.50......Equation 3

We substitute 3.50 - 6x for y in Equation 2

4x + 2y = 3...... Equation 2

4x + 2(3.50 - 6x) = 3

4x + 7 - 12x = 3

Collect like terms

4x - 12x = 3 - 7

-8x = -4

x = -4/-8

x = $0.50

Solving for y

y = 3.50 - 6x

y = 3.50 - 6(0.50)

y = 3.50 - 3.00

y = $0.50

Therefore:

The cost of

1 donut = x = $0.50

300ml carton of juice = y = $0.50

3 0

3 years ago

What is the radius for the circle given by the equation? (Please help gmanyp)

ratelena [41]

The equation of a circle:

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

where

(h, k) - the coordinates of a center

r - the radius

We have:

$(x-2)^2+y^2=14\\\\(x-2)^2+(y-0)^2=(\sqrt{14})^2$

$Answer:\ r=\sqrt{14}\approx3.742$

5 0

3 years ago

Read 2 more answers

Tell whether the triangle with the given side lengths is a right triangle. 15, 35, 39 Yes or no<br>

Lana71 [14]

Answer:

This would be a right triangle

Step-by-step explanation:

6 0

3 years ago