What is the simplified form of each expression?

1. (–5.1)^0

1
0
–5.1
–1

2. 3g^-2 b^2

3b^2 over g^2
3g^2b^-2
3gb^-4
b^2 over 3g^2

Answer:

4.5 gallons

Step-by-step explanation:

1.A

2.C

3.C

4.C

5.C

6.B

7.D

8.C

Unit 4 Lesson 9 100%

Step-by-step explanation: Short answers you have to look up

∆ABC~∆PQR

AB~PQ , c~r

c:r

Answer:

The correct option is 2.

Step-by-step explanation:

It is given that triangles ABC and PQR are similar triangles.

The sides of the triangle ABC are AB = c, BC = a, and AC = b. Triangle PQR has sides PQ = r, QR=p and PR=q.

If two triangles are similar, then their corresponding sides proportional.

Since ABC and PQR are similar triangles, therefore

[tex]\frac{AB}{PQ}=\frac{BC}{QR}=\frac{AC}{PR}[/tex]

[tex]\frac{c}{r}=\frac{a}{p}=\frac{b}{q}[/tex]

It can be written as

[tex]\frac{c}{r}=\frac{b}{q}[/tex]

[tex]\frac{a}{p}=\frac{b}{q}[/tex]

Therefore b:q is equal to c:r or a:p. Option 2 is correct.

The options of the question are

A.)BFC B.)CFG C.)GFD D.)EFA

we know that

A linear pair forms a straight angle which contains [tex] 180 [/tex]º, so you have [tex] 2 [/tex] angles whose measures add to [tex] 180 [/tex] degrees, which means they are supplementary.

Vertical Angles are two angles whose sides form two pairs of opposite rays (straight lines).Vertical angles are congruent

in this problem

Part a) Linear Pair

1) m∠EFA+m∠EFD=[tex] 180 [/tex]°

angles ∠EFA and ∠EFD are a linear pair

2) m∠BFD+m∠EFD=[tex] 180 [/tex]°

angles ∠BFD and ∠EFD are a linear pair

3) m∠BFD+m∠BFA=[tex] 180 [/tex]°

angles ∠BFD and ∠BFA are a linear pair

4) m∠BFA+m∠AFD=[tex] 180 [/tex]°

angles ∠BFA and ∠AFD are a linear pair

Part b) Vertical angles

1) m∠EFA=m∠BFD

angles ∠EFA and ∠BFD are a vertical angles

2) m∠AFB=m∠EFD

angles ∠AFB and ∠EFD are a vertical angles

therefore

the answer is the option

D.) EFA

the cone = 150.8

the cylinder= 301.6   the cones volume is 2x smaller than the cylinders volume. two cones equal one cylinder.

The magnitude of the size change of the figures formed by these matrices is:

                                         2

We are given a  first matrix as:

           [3   -2   1]

and second matrix is given by:

            [6   -4   2]

Since we could clearly observe that when we multiply first matrix by a constant 2 then we obtain a second matrix.

   i.e.   2[3 -2 1]=[2×3   2×(-2)   2×1]

                        = [6   -4   2]

   Hence, the change in the magnitude of the size of two matrices is:

                             2

The annual interest rate paid for the pawned guitar is calculated to be 640%, which is obtained by dividing the interest paid by the original loan amount to find the monthly rate and then multiplying by 12.

To calculate the annual interest rate paid for pawning the guitar, we need to first determine the total interest paid, then the monthly interest rate, and finally convert that to an annual rate. The interest paid is the difference between the amount received from pawning the guitar and the amount paid to redeem it, which is $1,472 - $960 = $512.

As the loan was for one month, we can determine the monthly interest rate by dividing the interest paid by the principal amount. This gives us $512 / $960 = 0.5333 or 53.33%. To find the annual interest rate, we multiply the monthly rate by 12 (the number of months in a year). Thus, the annual interest rate is 53.33% * 12 = 640%.

It's important to note that this is an extremely high rate of interest, which is not uncommon for pawnshop loans or other short-term high-risk loans.

The 40th term of the arithmetic sequence 21,18,15,12,9.. is -96

using Arithmetic progression formula,

a = first term = 21

common difference =  d = 18 - 21 = - 3

Therefore,

aₙ = a + (n - 1)d

a₄₀ = 21 + (40 - 1)-3

a₄₀ = 21 +(39)(-3)

a₄₀ = 21 - 117

a₄₀ = -96

learn more: https://brainly.com/question/25129817?referrer=searchResults

Answer:

SAS postulate

Step-by-step explanation:

Triangle ABD equal to triangle CBD.

The postulate that justifies the congruence is - Side angle side.

The Side Angle Side postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then these two triangles are congruent.

Here, AD and CD sides are equal and the two triangles ABD and CBD share a common right angle , so these are congruent or equal as per SAS postulate.

AD and CD sides are equal and the two triangles ABD and CBD share a common right angle , so these are congruent or equal as per SAS postulate.

Triangle ABD equal to triangle CBD.

The postulate that justifies the congruence is - Side angle side

The Side Angle Side postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then these two triangles are congruent.

Here, AD and CD sides are equal and the two triangles ABD and CBD share a common right angle , so these are congruent or equal as per SAS postulate.

Final answer:

The question involves Physics concepts such as vector addition, moment of inertia, and gravitational force calculations. The incenter mentions seem irrelevant to the Physics calculations related to inertia and force.

Explanation:

The question asked is about calculating the moment of inertia for a specific geometric object (a cylinder) and involves understanding the mass distribution relative to an axis of rotation. This is a common concept in the field of Physics, particularly when dealing with rotational dynamics and inertia.

The mention of the incenter of a triangle appears to be unrelated to the main question, which is more focused on moments of inertia, vector addition, and gravitational force equations as indicated by the provided reference information.

For example, the moment of inertia of a cylinder about a given axis can be calculated using established mathematical formulas. Moreover, vector addition (such as Đ = Ả + 2B - F) includes principles such as scaling, displacement and direction, which are crucial in Physics for predicting the outcomes of combined vector forces.

Lastly, the reference to the mass m of an object cancelling in the equation for g is related to calculating the acceleration due to gravity on Earth, which does not depend on the mass of the falling object.

In the previous question, m represents the measure of an angle, and without specific information about which angle in Δ DEF is being referred to, a precise value cannot be determined.

The symbol m in geometry typically denotes the measure of an angle. In the context of the given diagram, G being the incenter of Δ DEF suggests that G is the point where the angle bisectors of the triangle intersect. However, to determine the specific measure (m) of an angle, additional details about which angle in Δ DEF is being considered are required.

In geometry, the measure of an angle can vary based on its location within a triangle. The incenter is where the angle bisectors meet, ensuring that the angle formed by connecting G to the vertices of Δ DEF is bisected equally. Without information about the specific angle being referenced, a numerical value for m cannot be provided.

Understanding angle measures and the role of an incenter in bisecting angles is crucial in geometry. Precision in describing angles requires clarity on the specific angle under consideration, allowing for accurate calculations and conclusions.

Answer:

3/4

Step-by-step explanation:

its 3/4 k

9:27

she caught it just add 38 MINSA

Final answer:

The expression 16x^2+8x in factored form is 8x(2x + 1), obtained by factoring out the greatest common factor, which is 8x.

Explanation:

To factor the expression 16x^2+8x, we look for common factors in each term. Here, we can see that both terms contain a power of x and the number 8 is a common factor. We can factor out 8x from each term.

Step-by-step, this looks like:

We've now expressed the original expression in factored form.

Answer:

27

Step-by-step explanation:

Since coeficient in front of x is larger than coeficient in front of y that means that value of function P  depends more on x than on y. That means that we should look for highest posible x and see highest posible y for that x.

Highest x value is 9 and we can only pick y=0 for it

P = 27

Note that if u decrease x by 1 we can take y=1 but now our value is:

P = 8*3 + 2*1 = 26 which is just confirmation why P depends more on x than on y due to coefficient in front of x.

And or

Answer:

27

Step-by-step explanation:

To find the maximum, input the vertices (0,8), (5,4) and (9,0) into the objective function (P = 3x + 2y) to determine which vertex obtains the maximum value.

NOTE: I don't understand why (5,4) was given on your graph as a vertex.

(0,8): P = 3(0) + 2(8)  = 0 + 16   = 16

(5,4): P = 3(5) + 2(4)  = 15 + 8   = 23

(9,0): P = 3(9) + 2(0)  = 27 + 0   = 27      THIS IS THE LARGEST (MAX) P-VALUE

The correct answer is 28 ways.

Please give me brainiest and have a great day.

Answer:

Hence, we can form a group of three wolves in:

28 ways.

Step-by-step explanation:

We are given:

Nine wolves, eight female and one male.

We have to release three at a time also the male wolf is to be in the first released group and order does not matter

Then we have to choose 2 female wolves out of 8

as the order does not matter so we have to use combination

Hence, it is given as:

[tex]8_C_2=\dfrac{8!}{2!\times (8-2)!}\\\\8_C_2=\dfrac{8!}{2!\times 6!}\\\\8_C_2=28[/tex]

Hence, we can form a group of three wolves in:

28 ways.