How do I write each number as a power of the given base? example: 49; base 7

A rectangular painting is 24 inches wide and 20 inches tall without the frame. With the frame, it is 28 inches wide and 24 inche

evablogger [386]

The area of the frame not covered by the painting is 192 square inches

Solution:

Given that, A rectangular painting is 24 inches wide and 20 inches tall without the frame

The area of rectangle is given as:

$Area = length \times width$

Find the area of painting without frame:

Length = 20 inches

Width = 24 inches

$Area\ Without\ Frame = 20 \times 24 = 480$

Thus area of painting without frame is 480 square inches

With the frame, it is 28 inches wide and 24 inches tall

Find the area of painting with frame:

Length = 24 inches

Width = 28 inches

$Area\ with\ frame = 24 \times 28 = 672$

Thus area of painting with frame is 672 square inches

What is the area of the frame not covered by the painting

Area of the frame not covered by the painting = Area with farme - Area without frame

Area of the frame not covered by the painting = 672 - 480 = 192

Thus the area of the frame not covered by the painting is 192 square inches

4 0

2 years ago

PLSSS RNNN -5 + x = 10 x = 5 x = 10 x = -15 x = 15

Tema [17]

X = 15

Add 5 to each side
10 + 5 = 15

3 0

2 years ago

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Question 2b only! Evaluate using the definition of the definite integral(that means using the limit of a Riemann sum

lara [203]

Answer:

Hello,

Step-by-step explanation:

We divide the interval [a b] in n equal parts.

$\Delta x=\dfrac{b-a}{n} \\\\x_i=a+\Delta x *i \ for\ i=1\ to\ n\\\\y_i=x_i^2=(a+\Delta x *i)^2=a^2+(\Delta x *i)^2+2*a*\Delta x *i\\\\\\Area\ of\ i^{th} \ rectangle=R(x_i)=\Delta x * y_i\\$

$\displaystyle \sum_{i=1}^{n} R(x_i)=\dfrac{b-a}{n}*\sum_{i=1}^{n}\ (a^2 +(\dfrac{b-a}{n})^2*i^2+2*a*\dfrac{b-a}{n}*i)\\$

$=(b-a)^2*a^2+(\dfrac{b-a}{n})^3*\dfrac{n(n+1)(2n+1)}{6} +2*a*(\dfrac{b-a}{n})^2*\dfrac{n (n+1)} {2} \\\\\displaystyle \int\limits^a_b {x^2} \, dx = \lim_{n \to \infty} \sum_{i=1}^{n} R(x_i)\\\\=(b-a)*a^2+\dfrac{(b-a)^3 }{3} +a(b-a)^2\\\\=a^2b-a^3+\dfrac{1}{3} (b^3-3ab^2+3a^2b-a^3)+a^3+ab^2-2a^2b\\\\=\dfrac{b^3}{3}-ab^2+ab^2+a^2b+a^2b-2a^2b-\dfrac{a^3}{3} \\\\\\\boxed{\int\limits^a_b {x^2} \, dx =\dfrac{b^3}{3} -\dfrac{a^3}{3}}\\$

4 0

1 year ago

A mega-discount chain store just opened a new clothing store in town emphasizing mainly women's clothing. Before opening, man

Georgia [21]

Answer:

a) Cluster sampling

Step-by-step explanation:

Since here the population is divided into many groups (cluster) and one of these groups is taken as a sample. This type of sampling is called Cluster Sampling.

Further,

In Cluster Sampling the population is distributed into a distinct group called cluster and clusters are chosen as a sample then it is Cluster Sampling.

Multistage Sampling is a complex form of Cluster Sampling. In this sampling population is divided into a different group then one or more groups are randomly selected then again that selected group is divided into a different small group and again one or more these small groups are randomly selected as sample. This process is done many times.

If the sampling is done by any criteria then this type of sampling method is called Systematic Sampling. Like observer is taken every 5th unit as a sample.

If the whole population is divided into many groups(strata) such that between the group units are heterogeneous and within the group units are homogeneous then units are randomly selected from these groups. This type of sampling is called Stratified Sampling.

7 0

2 years ago

Please help me please i will give brainliest

koban [17]

Answer:

I think It would be A

Step-by-step explanation:

4 0

2 years ago

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