PLEASE HELP!!! DSFVAGETRYHUJ

Answer:

a) -3

b) 9

c) -3

Step-by-step explanation:

a)

[tex]2^5 * 2^{-8} = 2^a[/tex]

In cases where we have a multiplication with exponents we keep the integer as it is and we add the exponents. 5 + -8 = -3. Therefore a is 3.

b)

[tex]\frac{4^7}{4^-{2}} = 4^b[/tex]

In cases when we have a division with exponents we keep the integers as it is and we subtract the exponents. 7 - (-2) = 7 + 2 = 9. Therefore, b is 9

c)

[tex]\frac{7^9}{7^c} = 7^{12}[/tex]

We are dividing again however we are finding the denominator.

9 - (c) = 12

Subtract from both sides: -c = 3, To make c positive we just make the value negative, c = -3. Therefore c is -3

Answer:

Yes

Step-by-step explanation:

There is only one output value for each input value, which is the definition of a function.

Applying the Pythagorean theorem, the missing side of the right triangle is: √788.

To find the hypotenuse (c) of a right triangle, having two other legs a and b, the Pythagorean theorem states that, c = √(a² + b²).

Given the following:

Plug in the values

x = √(2² + 28²)

x = √788

Missing side is: √788.

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Answer:

2 / 36 = 1/18

Step-by-step explanation:

there are 2 ways to get 3

1 then 2 or 2 then 1 , 2 out of a possible 36 outcomes

A percentage is a way to describe a part of a whole. The number of people who don't have pets is 50 people.

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Given at the Red bridge School, 1/3 of pupils have a pet dog 2/5 have cat and 1/15 have a hamster.

A.) Number of people who don't have pets = 1 - 1/3 - 2/5 - 1/15

                                                                        = (15-5-6-1)/15

                                                                        = 3/15

                                                                        = 1/5

B.) Given there are 25 people at the school. Therefore, the number of people who don't have a pet is,

Number of people who don't have pets = (1/5) × 250 = 50

C.) The percentage increase of pupils at the Bluebell School that has no pets compared to the Red bridge School is,

Percentage increase = (23%-20%)/20% × 100% = 15%

Hence, the number of people who don't have pets is 50 people.

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Answer:

[tex]B)~ 3\sqrt{\dfrac 75} + \sqrt{- \dfrac 95 }[/tex]

Step-by-step explanation:

[tex]3\sqrt{\dfrac 75} + \sqrt{- \dfrac 95 }\\\\\\= 3\sqrt{\dfrac 75} + i\sqrt{\dfrac 95 }\\\\\text{It is now in the standard form of a complex number (a+bi).}[/tex]

The distance of the run Will be 16miles and the Distance of the bicycle race will be 81 miles.

Speed is defined as the ratio of the time distance travelled by the body to the time taken by the body to cover the distance.

Distance = average velocity × time

Let the time and distance of the run, respectively, be t₁ and.d₁

Let those of the bicycle race be t₂ and d₂

From the question,

t₁ + t₂ = 5

d₁ = 8t₁

d₂ = 27t₂

Total distance = 97

8t₁ + 27t₂ = 97

8 ( 5 - t₂ ) + 27t₂ = 97

40 - 8t₂ + 27t₂ = 97

40 + 19 t₂ = 97

19t₂ = 57

t₂ = 3 hours

t₁ + t ₂ = 5

t₁ = 5 - t₂

t₁ = 5 - 3 = 2 hours

Now the distances are calculated as:-

d₁ = 8t₁ = 8 x 2 = 16 miles

d₂ = 27t₂ = 27 x 3 = 81 miles

Therefore the distance of the run Will be 16miles and the Distance of the bicycle race will be 81 miles.

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The amount of money Conor should save each month for 5 months is £136.

Division is the mathematical operation that is used to determine the quotient of a number. It involves grouping a number into equal parts using another number.

The amount of money Conor should save each month = total amount needed / number of month

£680 / 5 = £136

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Answer:

2.6 and 2.7

Step-by-step explanation:

The actual square root of 7 is 2.64 and that is between 2.6 and 2.7.

The true statement is the correlation is most likely due to a lurking variable.

Correlation is a statistical measure used to measure the relationship that exists between two variables. Negative correlation is when there is an inverse relationship between the two variables. If one variable increases, the other variable decreases.

Assume that the store is located near a school where the students live on an allowance. So, students do not have time to buy both computers and microwaves. When students buy computers they do not have enough money to buy microwaves. This explains the negative correlation.

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[tex]\sqrt[n]{a^n}=a[/tex], therefore [tex]\sqrt[4]{5^4}=5[/tex].

Answer:

It is 5

Key solutions:

Step-by-step explanation:

Isolate the exponents and remove the square, giving you 5

[tex]\left(\sqrt[4]{5}\right)^4\\=5[/tex]

Answer:

Domain:

X is all the real numbers

or

[tex] - \infty < x < \infty [/tex]

Range:

[tex]y \leqslant 0[/tex]

or

[tex] - \infty < y \leqslant 0[/tex]

Step-by-step explanation:

This is the graph.

Answer:

3.375 °C

Step-by-step explanation:

Mean temperature for first 7 days = 4 °C

⇒ Total temperature over first 7 days = 4 °C × 7 = 28 °C

Temperature on 8th day = -1 °C

[tex]\sf mean=\dfrac{\textsf{sum of all the numbers}}{\textsf{amount of numbers}}[/tex]

Therefore, mean temperature for first 8 days:

= [28 - 1] ÷ 8

= 27 ÷ 8

= 3.375 °C

Answer:

100

Step-by-step explanation:

Answer:

The rate of interest is6.4 %

Step-by-step explanation:

Given : Principal (P) = Rs12500  

         Total amount (A) = Rs16500.

         The time period (t) =5  years

To find : Rate of interest (R) = ?

Solution :

It is given that Principal (P) = Rs. 12500

        Total amount (A) = Rs.   16500

        The time period (t) =5  years  

We have to find rate of interest (R).

We know the formula for simple interest as,

       S.I. = A-P

             = 16500±12500

             = Rs. 4000

Now, to find rate of interest, use the formula for simple interest as

           S.I. =  

          ∴

          ∴ *R

             ∴  

                    ∴  

                       ∴R=6.4  %                          

∴  The rate of interest is6.4 %.

Answer:

[tex]67\frac{23}{28}[/tex]

Step-by-step explanation:

[tex]36-\left[100\div \:560-32\left(8\div \:4-1\right)\right]\\\\100\div \:560-32\left(8\div \:4-1\right)\\\\=100\div \:560-32\cdot \:1\\\\=\frac{100}{560}-32\cdot \:1\\\\=\frac{100}{560}-32\\\\=-\frac{891}{28}\\\\\\=36-\left(-\frac{891}{28}\right)\\\\36-\left(-\frac{891}{28}\right)\\\\=36+\frac{891}{28}\\\\\frac{36\cdot \:28}{28}+\frac{891}{28}\\\\\frac{36\cdot \:28+891}{28}\\\\=\frac{1899}{28}\\\\\\\frac{1899}{28}(1899\div28)=67\frac{23}{28}[/tex]

The point (1,6) belongs to the solution region of the system of inequalities.

The system of inequalities is given as:

y>1.5^x + 4

y< 2/3x + 6

Next, we plot both inequalities on a graph (see attachment)

From the attached graph, the point (1,6) is on the solution region of the inequalities

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A number where the digit 3 has a value ten times greater than the 3 in 145,317 can be 143,417.

In any number, the place value refers to the "place" that a digit has on a number. The first one is the units place, the second is the tens place, and so on.

As more in the left is the place value, the largest value it represents.

Particularly, in 145,317

The 3 is on the third place, so it represents the value 300.

For example, in 143,417

The 3 is more in the left than before, this time on the fourth place, this time the value of the 3 is 3,000.

Then, a number where the digit 3 has a value ten times greater than the 3 in 145,317 can be 143,417.

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Answer:

= .75 gallons or 3 quarts

Step-by-step explanation:

Known

Problem:

4 gallons 2 quarts - 3 gallons 3 quarts

⇒ 2 quarts: 0.5 gallons

⇒ 3 quarts: 0.75 gallons

Add on both sides

4 + 0.5 = 4.5 gallons

3 + 0.75 = 3.75 gallons

This leaves the equation at:

This equals 3 quarts or 0.75 gallons.

So, we know that:

[tex]A=\dfrac{1}{2}ab\\P=a+b+c\\a^2+b^2=c^2[/tex]

We also know that [tex](a+b)^2=a^2+2ab+b^2[/tex]. We will use that fact to find [tex]c[/tex] in terms of [tex]A[/tex] and [tex]P[/tex].

[tex]A=\dfrac{1}{2}ab\Rightarrow 2ab=4A\\P=a+b+c\Rightarrow a+b=P-c[/tex]

Therefore:

[tex](P-c)^2=c^2+4A\\P^2-2cP+c^2=c^2+4a\\2cP=P^2-4A\\c=\dfrac{P^2-4A}{2P}[/tex]

The x coordinate of point A that is shown on the graph is 3π/16.

From the information given, y = kcos(8x). Also, the axis of symmetry is given as kx.

Therefore, the x coordinate will be:

= π/8 + π/16

The LCM of 8 as 16 is 16.

= 2π/16 + π/16

= 3π/16

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Answer:

[tex]9\pi[/tex]

Step-by-step explanation:

[tex]\text{Arc length,}~ s = r\theta\\\\~~~~~~~~~~~~~~~~~~=12 \times \left( \dfrac{135\pi}{180} \right)\\\\~~~~~~~~~~~~~~~~~~=9\pi[/tex]

Answer:

coz it is

Step-by-step explanation:

the angle is 57° , so y is 63 as 63-6 = 57

Answer:

To pull our the first chocolate, it would be a probability of 1/2.

To pull the second chocolate out, it would be a probability of 2/5.

Hope that helps, you just use ratios, the first cupcake needs to be chocolate, and there are 3 chocolate cupcakes out of the 6. Make that into a fraction 3/6, and simplify into 1/2.

The same goes for the second cupcake.

The volume of water that was displaced is 0. 000019 cubic meters.

Volume is known to be the amount of space or capacity occupied by a three-dimensional solid shape.

It is denoted in cubic units.

The formula for calculating volume is;

Volume = mass ÷ density

Given that mass = 3. 3 Ibs and density = 32. 5Ibs/ ft∧3

Volume = 3. 3 ÷ 32. 5 = 0. 10 Ibs

How to covert Ibs to cubic meters

Ibs = 0. 00019 m∧3 (cubic meters)

Then, 0. 10 Ibs = 0. 00019 × 0.10 ÷ 1 = 0. 000019 cubic meters.

Therefore, the volume of the water displaced is 0.000019 cubic meters.

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Answer:

C

Step-by-step explanation:

the explicit formula for an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

from the recursive formula in the form

[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] + d

given

[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] - 7

with d = - 7 and a₁ = 4 , then explicit formula is

[tex]a_{n}[/tex] = 4 + (n - 1)(- 7)

Answer:

regular pentagon. 2 irregular. 3 irregular. 4 regular octagon. 5 regular nonagon. remember that regular polygon is a polygon that

[tex]\textit{circumference of a circle}\\\\ C=2\pi r ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ C=250 \end{cases}\implies 250=2\pi r\implies \cfrac{250}{2\pi }=r\implies \stackrel{cm}{39.79}\approx r[/tex]