If x and y are positive real numbers, which expression is equivalent to the expression below?
(49x^2y)^1/2(27x^6y^3/2)^1/3


A.) 21x/^3y
B.) 10x^2y
C.) 10x^3y
D.) 21x^3y^2

Answer:

8 7/10 or 87/10

Step-by-step explanation:

Answer:

8 7/10

Step-by-step explanation:

The answers to the questions involving trigonometry are: 90, BC/AB ÷ BC/AB = 1, g = 6.5, <I = 62 degrees, h= 13.8, 12.0, x = 6.8, x = 66.4, 160.6, The pole = 6.7

Trigonometric ratios are special measurements of a right triangle, defined as the ratios of the sides of a right-angled triangle.  There are three common trigonometric ratios: sine, cosine, and tangent

For page 3 question 3,

a) <A + <B = 90 since <C = right angle

b) SinA = BC/AB and CosB = BC/AB

The ratio of the two angles BC/AB ÷ BC/AB = 1

I notice that the ratio of sinA and cosB gives 1

b) The ratio of CosA and SinB will give

BC/AB ÷ BC/AB

= BC/AB * AB/BC = 1

For page 5 number 3

Tan28 = g/i

g/12.2 = tan28

cross multiplying to have

g = 12.2*tan28

g = 12.2 * 0.5317

g = 6.5

b) the angle I is given as 90-28 degrees

<I = 62 degrees

To find the side h we use the Pythagoras theorem

h² = (12.2)² + (6.5)²

h² = 148.84 +42.25

h²= 191.09

h=√191.09

h= 13.8

For page 6

1) Sin42 = x/18

x=18*sin42

x = 18*0.6691

x = 12.0

2) cos28 = 6/x

xcos28 = 6

x = 6/cos28

x [= 6/0.8829

x = 6.8

3)  Tan63 = x/34

x = 34*tan63

x= 34*1.9526

x = 66.4

4) Sin50 123/x

xsin50 = 123

x = 123/sin50

x = 123/0.7660

x =160.6

5)  Sin57 = P/8

Pole = 8sin57

the pole = 8*0.8387

The pole = 6.7

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Answer:

90

Step-by-step explanation:

9^2 = 81 and 3^2 = 9

81 + 9 = 90

Answer:

90

Step-by-step explanation:

9² + 3²

= (9 x 9) + (3 x 3)

= 81 + 9

= 90

Answer: 17

Step-by-step explanation:

Substitute 11 into m:

3 * 11 - (11 + 5)

= 33 - 16

= 17

Answer:

The answer is 17

Step-by-step explanation:

3(11)-(11+5)

33-16

=17

Answer:

y=4(x-3)

Step-by-step explanation:

if x=3, subtract 3 from each side to get x-3=0

point (4, 4). That is, when x=4, y=4.

Plug those in and solve for a.  

y=a(x-3)

4=a(4-3)

4=a(1)

4=a

 Thus,  

y=4(x-3)

Answer:

that number is in standard form

Answer: B and C

Step-by-step explanation:

Substituting the coordinates of each of the points into the first inequality,

A. \(5 > 2(0)+3 \longrightarrow 5 > 3\), so it satisfies the first inequality.

B. \(5 > 2(-5)+3 \longrightarrow 5 > -7\), so it satisfies the first inequality.

C. \(4 > 2(-1)+3 \longrightarrow 4 > 1\), so it satisfies the first inequality.

D. \(-5 > 2(0)+3 \longrightarrow -5 > 3\), so it does not satisfy the first inequality.

E. \(-3 > 2(-3)+3 \longrightarrow -3 > -3\), so it does not satisfy the first inequality.

Now, we can substitute the coordinates of options A, B, and C into the second inequality.

A. \(5+3(0) \leq 1 \longrightarrow 5 \leq 1\),  so it does not satisfy the second inequality.

B. \(5+3(-5) \leq 1 \longrightarrow -10 \leq 1\), so it satisfies the second inequality.

C. \(4+3(-1) \leq 1 \longrightarrow 1 \leq 1\), so it satisfies the second inequality.

So, the answers are B and C

Answer:

4 packages

Step-by-step explanation:

We have to do 980/250.

So after you get that, you would get 3.92. It would not make sense to get 3.92 packages since that isn't possible on Amazon using common sense. Therefore we must round 3.92 to 4 packages.

Answer:

Ms.Dangerfeild should order 4 bags

Step-by-step explanation:

250 times 4 is 1000 so Ms.Dangerfeild will have 20 extra erasers.

The vector z in the component form is z = < 21 , 24 , -27 >

Given data ,

A vector in component form is typically written as an ordered pair or triplet, where each component represents the magnitude of the vector along a specific coordinate axis.

Now , the vector u = < -1 , 3 , 1 >

v = < 4 , -3 , -1 >

w = < 10 , 5 , -10 >

Now , the value of vector z = < 3w - 2v + u >

z = 3w - 2v + u

z = 3w - 2 * < 4 , -3 , -1 > + < -1 , 3 , 1 >

Using scalar multiplication, we get:

z = < 30 , 15 , -30 > - < 8 , -6 , -2 > + < -1 , 3 , 1 >

Adding vectors, we get:

z = < 30 - 8 - 1 , 15 - (-6) + 3 , -30 + 2 + 1 >

z = < 21 , 24 , -27 >

Hence , the vector z in component form is z = < 21 , 24 , -27 >

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Algebraic rule

As

here the polynomial has degree 6

6 can be all negative or positive

Answer:

Both positive (or) negative

Step-by-step explanation:

The polynomial's degree is 6 and so the polynomial has 6 zeroes. These zeroes can be either positive or negative.

Answer:

it would be “>”, 100% guaranteed.

Answer:

answer is >

Step-by-step explanation:

hope this is helpful

(a) When performing an ANOVA with the data the alternative hypothesis is at least two of the restaurants have different mean delivery times.

(b)75.8

Analysis of variance. or ANOVA, is a statistical method that separate observed variance data into different components to use for additional tests. A one way ANOVA is used for three or more groups of data, to gain information about the relationship between the dependent and independent variables.

The ANOVA table shows how the sum of squares are distributed according to source of variation, and hence the mean sum of squares.

It is given that a pizza lover wants to compare the average delivery times.

Therefore the null hypothesis and alternate hypothesis implies that,

H₀ =  all restaurants have equal mean delivery time

Hₐ = at least two restaurants have different two deliveries

Hence the alternate hypothesis for performing an ANOVA with the data is at least two of the restaurants have different mean delivery times.

The alternate hypothesis (Hₐ) defines that there is a statistically important relationship between two variables. Whereas null hypothesis states that is no statistical relationship between the two variables.

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Answer:

1.4 lb :)

Step-by-step explanation:

Alright!

So, the meat costs $7.50 per pound.

If you have $10.50, this means you can afford about 10.50 / 7.50 pounds of meat!

This simplifies to 21 / 15 = 1.4 lb :)

Answer:

{0.5(7+15),0.5(-3-8)}

Step-by-step explanation:

(0.5(sum of x values),0.5(sum of y values))

Answer:

9 zebra fish, 4 neon tetras

Step-by-step explanation:

Let t represent the number of tetras and z represent the number of zebra fish.

The total number of fish Ernesto bought is represented by t + z = 13 and the total cost of Ernesto's fish purchase is represented by 2.30t + 2.15z = 28.55.

To find out how many of each type of fish Ernesto bought multiply the first equation by 2.15 and then write the system of equations so that the equations are aligned in order to subtract the second equation from the first:

2.15t + 2.15z = 27.95

−(2.30t + 2.15z = 28.55)

−0.15t = −0.6

Solve for t:

t = 4

Substitute t = 4 into one of the original equations and solve for t:

4 + z = 13

z = 9

Ernesto bought 9 zebra fish and 4 neon tetras.

Answer:

90 Minutes

Step-by-step explanation:

If he took 27 minutes to do 30% of his homework, then we can reverse the operation to find the total amount

30% is the same as 0.3, therefore you divide 27 by 0.3 because the 100% is 1, so by dividing you'll get the 100%.

90 minutes

So 27 = 30%

30% + 30% + 30% = 90%

 27 +   27  +  27  = 81

30% ÷ 3 = 10%

27 ÷ 3 = 9

90% + 10% = 100%

81 + 9 = 90

The roots have positive or same signs when c>0.

Note that only real numbers can be positive or negative. This concept does not apply to complex non real numbers. So first we have to make sure that the roots are real which occurs when discriminant is greater or equal to 0.

\(b^{2} -2ac > 0\\2^{2} -2(-1) (c) > 0\\4-2c > 0\\c > -2\)

Roots of quadrant equation have Samsame sign if product of roots >0.

\(\frac{a}{c} > 0\\\frac{c}{-1} > 0\\c < 0\)

Roots of quadratic equation have positive sign if product of roots<0.

c>0.

Combining results, we get:-

roots have positive signs when:-

c>0.

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The value if d is 15; the slope of segment JM is 1/3.

We have, JKL and JMN are similar.

Then, by the property of similarity we can write

JK/ JM = KL/ MN = JL / JN

Taking the ratio of sides as

KL/ MN = JL / JN

From the figure we have

KL = 5, MN= 6, JL = d and JN= d+ 3

Substituting the above values we get

5/6 = d/ (d+3)

5d + 15 = 6d

6d - 5d = 15

d = 15

Thus, the value of d is 15.

Now, the slope is

= 6/18

= 1/3

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Answer:

$512

Step-by-step explanation:

His bank account started at a balance of $124.

He wrote a check, which decreased his balance by $147. His new balance is:

124 - 147 = -$23

Jeremy was then charged an overdraft fee, decreasing his balance by $32. That is:

-23 - 32 = -$55

He deposited a paycheck, which increased his balance by $567. His account balance will become:

-55 + 567 = $512

His account balance after those transactions is $512.

The inequality of the temperatures where yeast will NOT thrive is T < 90°F or T > 95°F

from the question, we have the following parameters that can be used in our computation:

Yeast thrives between 90°F to 95°F

For the temperatures where yeast will not thrive, we have the temperatures to be out of the given range

Using the above as a guide, we have the following:

T < 90°F or T > 95°F.

Where

T = Temperature

Hence, the inequality is T < 90°F or T > 95°F.

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Answer:

6 bags

Step-by-step explanation:

This problem is essentially asking how many (\(\frac{2}{3}\)) peanut bags can one fill with (\(4\)) pounds of peanuts. This problem can be solved by divided (\(4\)) by (\(\frac{2}{3}\)). Set up the problem,

\(4\) ÷ \(\frac{2}{3}\)

In order to divide by a fraction, one must change the multiplication sign to a division sign, then take the reciprocal of the second number, the fraction. In order to take the reciprocal of a fraction, switch the numerator (number on top) and the denominator (number on the bottom).

\(4 * \frac{3}{2}\)

Multiply,

\(\frac{12}{2}\)

Simplify,

\(6\)

Check the picture below.

\(tan(x )=\cfrac{\stackrel{opposite}{13}}{\underset{adjacent}{6}}\implies tan^{-1}[tan(x)]~~ = ~~tan^{-1}\left( \cfrac{13}{6} \right) \\\\\\ x~~ = ~~tan^{-1}\left( \cfrac{13}{6} \right)\implies x\approx 65^o\)

Make sure your calculator is in Degree mode.

The given statement "A reaction that has K_eq = 2.0 × 10^(-8) will have high concentrations of products" is false because a low value of K_eq indicates a greater concentration of reactants compared to products.

The equilibrium constant, K_eq, represents the ratio of product concentrations to reactant concentrations at equilibrium. In this case, a K_eq value of 2.0 × 10^(-8) suggests that the concentration of products is significantly lower compared to the concentration of reactants.

This implies that the reaction favors the formation of reactants rather than products. Therefore, the statement is false as it states that the reaction will have high concentrations of products, which is contradictory to the low K_eq value provided.

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The characteristics of a frequency table in statistics are:

(A) Data is tabulated in a frequency table to show how frequently each score occurs.

(B) A frequency table can be used to study the data and its behavior.

(C) Based on frequency, a frequency table divides the data into various groups.

A frequency distribution is a list or table that displays the frequency of different outcomes in a sample. It can also be a graph.

The frequency or count of the values as well as their occurrences within a specific group or interval are shown in the frequency table.

If there are groups, the frequency of occurrence should be in a group of 5.

The number of tallies should be able to be equated to the sum of frequencies, which is determined by the sample size.

The statements that are the characteristics of a frequency table are (A), (B), and (D).

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In the first question, the statement "Using logarithmic differentiation we obtain that the derivative of the function y = x² satisfies the equation y = 4x log x + 2x" is true.

In the first question, using logarithmic differentiation on the function y = x², we differentiate both sides, apply the product rule and logarithmic differentiation, and simplify to obtain the equation y = 4x log x + 2x, which is correct.

In the second question, the statement is false. When using logarithmic differentiation on the function y = (1+x²)²(1 + sin x)²/(1-x²), the derivative is calculated correctly, but the equation given is incorrect. The correct equation after logarithmic differentiation should be y' = (4x/(1 + x²)(1 + sin x))(1-x²) - (2x(1+x²)²(1 + sin x)²)/(1-x²)².

In the third question, the product z²w is calculated correctly as 30-10%.

It is important to accurately apply logarithmic differentiation and perform the necessary calculations to determine the derivatives and products correctly.

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By adding the rectangle, the shaded area is \(53 in^2\), rοunded tο the nearest whole figure.

The entire area οf a three-dimensional οbject's surface is known as surface area. It is a measurement of an οbject's expοsed surface. Indicating an οbject's surface area typically involves using square measurements like square inches οr square meters. The surface area οf a cube, fοr instance, is equal to the tοtal οf the areas οf each οf its six faces. The calculatiοn fοr a cube's surface area is: Surface Area Equals 6*\(side^2\) where "side" denοtes the cube's extent οn οne side.

given:

The bigger semicircle has a radius οf 5 inches and a diameter οf 10 inches. Consequently, the bigger semicircle's area is:

(5 in) * (1/2) * π  = 39.27 in (rοunded tο twο decimal places)

The smaller semicircle has a radius of οf 2 inches and a width of οf 4 inches. Consequently, the smaller semicircle's size is:

(2 in) * (1/2) * π * 6.28 in (rοunded tο twο decimal places)

The rectangle's area is: because it is 10 inches long and 2 inches wide.

10 in + 2 in equals \(20 in ^2.\)

We can add the area οf the rectangle tο the area οf the larger semicircle after subtracting the areas οf the smaller and larger semicircles tο determine the area οf the shaded regiοn:

\(39.27 in^2 - 6.28 in^2+ 20 in^2 = 52.99 in^2.\)

By adding the rectangle, the shaded area is 53 in2, rοunded tο the nearest whole figure.

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Answer:

y = 1

Step-by-step explanation:

Apply the distributive property

10y + 4 = 14

Subtract to isolate the variable.

10y = 10

Divide both sides by the variable term.

y = 1

~theLocoCoco

42,504

Well, being a rudimentary rule of math, I'm going to work this out in a mental math manner for you to help you understand how it works.

Step 1 - Write it out laterally

    1288

    x  33

Step 2 - Multiply 3 across; make sure to carry

    1288

    x  33

    3864

Step 3 - Add a zero to the end on the next line then repeat with the next 3 which is in the 10s place preparing it into an addition problem

    1288

    x  33

    3864

+ 38640

Step 4 - Add them together

    1288

    x  33

    3864

+ 38640

  42504

Hope this helps