01.11.2021

Determine the value of m in the equation m−2. 2=2. 5? A 0. 30 B 0. 50 C 3. 73 D 4. 7

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Step-by-step answer

09.07.2023, solved by verified expert

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Mathematics
Step-by-step answer
P Answered by Specialist

D) 4.7

Ok done. Thank to me :>


Determine the value of m in the equation m−2. 2=2. 5? A 0. 30 B 0. 50 C 3. 73 D 4. 7
Mathematics
Step-by-step answer
P Answered by PhD

(a) There are 12 values in the data set which are greater than or equal to 10 and less than or equal to 19.

(b) There are 12 values in the data set which are greater than or equal to 30 and less than or equal to 39.

(c) There are 7 values in the data set which are greater than or equal to 40 and less than or equal to 49.

Step-by-step explanation:

We are given a set of data that is summarized by the stem and leaf plot below;

Steam Leaf

1  0 0 2 4 4 4 7 8 8 8 8 9

2  2 2 5 5 7 8

3  3 4 4 5 5 5 6 6 6 7 9 9

4  3 3 3 5 5 7 9

This shows that the data values are: 10, 10, 12, 14, 14, 14, 17, 18, 18, 18, 18, 19, 22, 22, 25, 25, 27, 28, 33, 34, 34, 35, 35, 35, 36, 36, 36, 37, 39, 39, 43, 43, 43, 45, 45, 47, 49.

(a) From the data above, the number of values in the data set which are greater than or equal to 10 and less than or equal to 19 is 12, i.e; 10, 10, 12, 14, 14, 14, 17, 18, 18, 18, 18, 19.

(b) From the data above, the number of values in the data set which are greater than or equal to 30 and less than or equal to 39 is 12, i.e; 33, 34, 34, 35, 35, 35, 36, 36, 36, 37, 39, 39.

(c) From the data above, the number of values in the data set which are greater than or equal to 40 and less than or equal to 49 is 7, i.e; 43, 43, 43, 45, 45, 47, 49.

Mathematics
Step-by-step answer
P Answered by PhD

(a) There are 12 values in the data set which are greater than or equal to 10 and less than or equal to 19.

(b) There are 12 values in the data set which are greater than or equal to 30 and less than or equal to 39.

(c) There are 7 values in the data set which are greater than or equal to 40 and less than or equal to 49.

Step-by-step explanation:

We are given a set of data that is summarized by the stem and leaf plot below;

Steam Leaf

1  0 0 2 4 4 4 7 8 8 8 8 9

2  2 2 5 5 7 8

3  3 4 4 5 5 5 6 6 6 7 9 9

4  3 3 3 5 5 7 9

This shows that the data values are: 10, 10, 12, 14, 14, 14, 17, 18, 18, 18, 18, 19, 22, 22, 25, 25, 27, 28, 33, 34, 34, 35, 35, 35, 36, 36, 36, 37, 39, 39, 43, 43, 43, 45, 45, 47, 49.

(a) From the data above, the number of values in the data set which are greater than or equal to 10 and less than or equal to 19 is 12, i.e; 10, 10, 12, 14, 14, 14, 17, 18, 18, 18, 18, 19.

(b) From the data above, the number of values in the data set which are greater than or equal to 30 and less than or equal to 39 is 12, i.e; 33, 34, 34, 35, 35, 35, 36, 36, 36, 37, 39, 39.

(c) From the data above, the number of values in the data set which are greater than or equal to 40 and less than or equal to 49 is 7, i.e; 43, 43, 43, 45, 45, 47, 49.

Mathematics
Step-by-step answer
P Answered by PhD

The value of x in the simplified power is 20.

Solution:

Given expression: \left(-2 d^{5}\right)^{4}

Step 1: Express 4 factors of -2 d^{5}

\left(-2 d^{5}\right)\left(-2 d^{5}\right)\left(-2 d^{5}\right)\left(-2 d^{5}\right)

Step 2: Expand the expression

-2 \cdot-2 \cdot-2 \cdot-2 \cdot d^{5} \cdot d^{5} \cdot d^{5} \cdot d^{5}

Step 3: Simplify to the exponential form

There four -2 terms and four d^5 terms.

(-2)^{4} \cdot\left(d^{5}\right)^{4}

Step 4: Evaluate the base 2 power.

(-2)^{4}=16

(-2)^{4} \cdot\left(d^{5}\right)^{4}=16 \cdot\left(d^{5}\right)^{4}

Step 5: Apply the power of a power.

Using exponent rule: (a^m)^n=a^{mn}

So that \left(d^{5}\right)^{4}=d^{5\times4}=d^{20}

16 \cdot\left(d^{5}\right)^{4}=16d^{20}

16 d^{x}=16 d^{20}

⇒ x = 20

The value of x in the simplified power is 20.

Mathematics
Step-by-step answer
P Answered by PhD

The value of x in the simplified power is 20.

Solution:

Given expression: \left(-2 d^{5}\right)^{4}

Step 1: Express 4 factors of -2 d^{5}

\left(-2 d^{5}\right)\left(-2 d^{5}\right)\left(-2 d^{5}\right)\left(-2 d^{5}\right)

Step 2: Expand the expression

-2 \cdot-2 \cdot-2 \cdot-2 \cdot d^{5} \cdot d^{5} \cdot d^{5} \cdot d^{5}

Step 3: Simplify to the exponential form

There four -2 terms and four d^5 terms.

(-2)^{4} \cdot\left(d^{5}\right)^{4}

Step 4: Evaluate the base 2 power.

(-2)^{4}=16

(-2)^{4} \cdot\left(d^{5}\right)^{4}=16 \cdot\left(d^{5}\right)^{4}

Step 5: Apply the power of a power.

Using exponent rule: (a^m)^n=a^{mn}

So that \left(d^{5}\right)^{4}=d^{5\times4}=d^{20}

16 \cdot\left(d^{5}\right)^{4}=16d^{20}

16 d^{x}=16 d^{20}

⇒ x = 20

The value of x in the simplified power is 20.

Mathematics
Step-by-step answer
P Answered by Master

x=√154 over 7 , −√154 over 7

Step-by-step explanation:


Which value is a solution of 7/4x^2-2=-0.5+4?
Mathematics
Step-by-step answer
P Answered by Master

1) The answer would be x=0.7 or x=\frac{7}{10}

2) Your answer would be C. 2k+3=5.4

3) Your answer would be x=124.16 where the 6 is repeating or x=\frac{745}{6}

4) \frac{2a}{7}+\frac{6}{7} =\frac{5}{7}, \frac{4a}{7} +\frac{3}{7}=\frac{1}{7}

5) I am sorry, I do not understand number 5.

6) Your answer would be answer choice B. x=1.1 satisfies the equation because 7-1.5=5.5 and 1.1*5=5.5.

7) None of those equations is equal to the answer.

8) None of those equations is equal to the answer.

I hope this helps.

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