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Mrac [35]
3 years ago
6

Help please asap just the answers​

Mathematics
2 answers:
kicyunya [14]3 years ago
8 0

\sf \bf {\boxed {\mathbb {GIVEN:}}}

a\:=\:2, b\:=\:-1 and c\:=\:-3

7) 3 {a}^{2}  - b

Plugging in the values of a and b, we have

= 3( {2})^{2}  - ( - 1)

= 3(2 \times 2) + 1

= 3 \times 4 + 1

= 12 + 1

= 13

Hence, \boxed{  c. \:13 } is the correct option.

8) {a}^{3}  {b}^{3}  - abc

Plugging in the values of a and b and c, we have

=  ({2})^{3} ( { - 1})^{3}  - 2( - 1)( - 3)

= (2 \times 2 \times 2)( - 1 \times  - 1 \times  - 1) - 2(3)

= (8)( - 1) - 6

=  - 8 - 6

=  - 14

Hence, \boxed{  d.\:-14 } is the correct option.

\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}

Korolek [52]3 years ago
7 0

\underline \bold{ \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  }

\huge\underline{\sf{\red{Problem:}}}

7.) Detemine the value of \sf{ {3a}^{2}  -b.}

\huge\underline{\sf{\red{Given:}}}

\quad\quad\quad\quad\sf{a = 2}

\quad\quad\quad\quad\sf{b =  - 1}

\quad\quad\quad\quad\sf{c =  - 3}

\huge\underline{\sf{\red{Solution:}}}

\quad\quad\quad\quad\sf{⟶{3a}^{2}  - b}

\quad \quad \quad \quad   \sf{⟶{(3)( 2)}^{2}  -( - 1)}

\quad \quad \quad \quad   \sf{⟶3(4)-( - 1)}

\quad \quad \quad \quad   \sf{⟶12-( - 1)}

\quad \quad \quad \quad   \sf{⟶12 +  1 }

\quad \quad \quad \quad ⟶ \boxed{ \sf{ 13}}

\huge\underline{\sf{\red{Answer:}}}

\huge\quad \quad \underline{ \boxed{ \sf{ \red{7.)\:13}}}}

8.) Find the value of \sf{ {a}^{3}  {b}^{3}  - abc.}

\huge\underline{\sf{\red{Solution:}}}

\quad\quad\quad\quad\sf{⟶ {a}^{3}  {b}^{3}  - abc}

\quad\quad\quad\quad\sf{⟶{(2)}^{3}  {( - 1)}^{3}  - (2)( - 1)( - 3)}

\quad\quad\quad\quad\sf{⟶{(8)}{( - 1)}  - ( - 2)( - 3)}

\quad\quad\quad\quad\sf{⟶{( - 8)}  - ( 6)}

\quad\quad\quad\quad ⟶\boxed{\sf{  - 14}}

\huge\underline{\sf{\red{Answer:}}}

\huge\quad \quad \underline{ \boxed{ \sf{ \red{8.)-14}}}}

\underline \bold{ \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  }

#CarryOnLearning

\sf{\red{✍︎ C.Rose❀}}

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Draw a rectangular fraction model to explain your thinking. Then, write a multiplication sentence. A. 2 3 of = 3 5
myrzilka [38]

Answer:

\frac{2}{3}\ of\ \frac{3}{5} = \frac{2}{5}

Step-by-step explanation:

Given

\frac{2}{3}\ of\ \frac{3}{5}

Solving (a): Multiplication sentence

\frac{2}{3}\ of\ \frac{3}{5}

Rewrite of as *

\frac{2}{3}\ of\ \frac{3}{5} = \frac{2}{3}\ *\ \frac{3}{5}

Solve

\frac{2}{3}\ of\ \frac{3}{5} = \frac{2}{5}

Hence, the multiplication sentence is:

\frac{2}{3}\ of\ \frac{3}{5} = \frac{2}{5}

Solving (b): Rectangular fraction model

In (a) above, the result is 2/5

The fraction model will be represented as thus:

  • Draw a rectangle
  • Partition in to 5 equal parts (5 represents the denominator)
  • Shade 2 of the 5 partitions (2 represents the numerator)

<em>See attachment for model</em>

5 0
3 years ago
What is the total cost of a $56.53 meal at a restaurant after including a 17% tip?
padilas [110]
The total cost is $66.14. Hope this helps.
7 0
3 years ago
Can anyone please help me with 1-18
ruslelena [56]

Answer:

a. 15 on top 8 on bottom

b. 2 on top -3 on bottom

c. 4 and 2

d. 4 on top 8.5 on bottom

e. -3 and -4

Step-by-step explanation:

multiply the two numbers on the sides to get the top answer and add them together to get the bottom answer.

6 0
3 years ago
A carpenter is building a unique jewelry box in the shape of a right triangular prism. The base has measurements of 4 inches, 3
BlackZzzverrR [31]
Answer: The carpenter will need 84 square inches of wood.

In this problem we are looking for the surface area of the jewelry box. This box has 5 faces. The two triangles at each end and the 3 rectangle pieces between them.

The sides of the triangles are 3, 4, 5 which always forms a right triangle with legs of 3 and 4. Use the formula for the area of a triangle, we have 3 x 4 / 2 = 6. The area of each triangle is 6 square inches.

Now, the three sides, each one has a height of 6.
3 x 6 = 18
4 x 6 = 24
5 x 6 = 30

If we add all the sides together, we get an area of 84 square inches.
6 + 6 + 18 + 24 + 30 = 84
7 0
3 years ago
A new experimental strain of pepper plants was being studied to estimate how much fruit one plant would produce in a typical gro
zmey [24]

Answer:

58.9% produced produced peppers weighing between 13 and 16 pounds.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 15

Standard Deviation, σ = 1.75

We are given that the distribution of weight of peppers is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

P(peppers weighing between 13 and 16 pounds)

P(13 \leq x \leq 16) = P(\displaystyle\frac{13 - 15}{1.75} \leq z \leq \displaystyle\frac{16-15}{1.75}) = P(-1.142\leq z \leq 0.571)\\\\= P(z \leq 0.571) - P(z < -1.142)\\= 0.716 - 0.127 = 0.589 = 58.9\%

P(13 \leq x \leq 16) = 58.9\%

58.9% produced produced peppers weighing between 13 and 16 pounds.

7 0
3 years ago
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