What is the value of the product
2/3 times 9/5

By using logarithm principles, log₇t in base 2 logarithm equals log₂t/log₂7.

The most frequent logarithms are common logarithms with a base of 10, binary logarithms with a base of 2, and natural logarithms with a base of e 2.71828. A logarithm is the number of powers that a number must be raised to in order to acquire another number (see Section 3 of this Math Review for more about exponents). The base ten logarithm of 100, for example, is 2, because ten raised to the power of two equals 100: log 100 = 2.

Here,

logₓy=logₐy/logₐx

log₇t=log₂t/log₂7

log₇t in base 2 logarithm is log₂t/log₂7 by the help of properties of logarithm applied.

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There are 94.80314 pounds in 43kg and  6.771663 stone in 43 kg.

Unit conversion is the process of converting one unit of measurement to another. When it comes to weight, kilograms (kg) are often converted to pounds (lb) or stone (st).

To convert 43 kg to pounds,

The conversion factor of 1 kg = 2.20462 lb. The formula for this conversion is:

pounds = kilograms * 2.20462

Plug in the value of 43 kg into the formula:

pounds = 43 * 2.20462

Performing the calculation, we get:

pounds = 94.80314

Therefore, 43 kg is equal to 94.80314 pounds.

To convert 43 kg to stone, you need to divide the weight in pounds by 14, as there are 14 pounds in one stone. The formula for this conversion is:

stone = pounds / 14

Plug in the value of pounds (94.80314) into the formula:

stone = 94.80314 / 14

Performing the calculation, we get:

stone = 6.771663

Therefore, 43 kg is equal to 6.771663 stone.

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The steps to evaluate an exponential expression include:

First, you need to identify the base which is the number being raised to a power, and the exponent is the power to which the base is being raised. Then replace this base with the value that is needed to be used.

Use this exponent such that you can find out the number of times the base will multiply itself and then do the multiplication and simplify the expression.

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Answer:   C : (6,5)

Step-by-step explanation:

Answer:

figure plz

Step-by-step explanation:

The expression that is a difference of squares with a factor of 2x + 5 is 4x² - 25

A factor of the actual expression is given as:

2x + 5

Since the actual expression is a difference of two squares expression, then we have:

(2x)² - (5)²

Evaluate the squares

4x² - 25

Hence, the expression is 4x² - 25

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Answer:

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

\(m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \)

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(−4, 8) and (−3, −6)

The slope is

\(m = \frac{ - 6 - 8}{ - 3 + 4} = \frac{ - 14}{1} \)

We have the final answer as

Hope this helps you

Answer:

A. 1/36

Step-by-step explanation:

The probability of Becky tossing 6, 2 times in a row is given by the following ways:

1. If you toss the die the first time you get an odd of 1/6

2. If you toss the die the second time you get another odd of 1/6

3. You multiply by odds 1/6 with 1/6

= 1/6 x 1/6

= 1/36

Therefore option a answers the question correctly.

Answer:

That they have the same length

Step-by-step explanation:

What does it mean for two segments to be congruent?

Congruent segments are segments that have the same length. ≅ Points that lie on the same line are called collinear. A theorem is a mathematical statement that can be proved. The midpoint of a segment is a point that divides the segment into two congruent segments.

The probability that 3 of the people chosen would be women = 0.36.

Probability is basically a numerical description of how likely an event is supposed to happen. It is a number something between 0 and 1.

total number of people = 16

total number of women = 8

number of chosen employees randomly to receive tickets to a concert = 5

probability to find = that 3 of them will be women

Therefore, we can conclude that the probability of 3 of the chosen people will be women is 0.36.

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Answer:

\(3x + x + 7x - 4y\)

\(4x + 7x - 4y\)

\(11x - 4y\)

Answer:

Step-by-step explanation:

\(\sf 3x + x +7x - 4y\)

\(\sf (3x+x+7x)\) \(\sf +(-4y)\)

\(\sf 11x-4y\)

Hope it helps! :)

Answer:

The slope is 2/3

Step-by-step explanation:

The first set of coordinates is 1 and 2 and the second set is 4 and 4. Subtract 4-2 and 4-1 and you get 2 and 3. Arrange it in a fraction so 2/3

At a constant rate of 400 miles per hour travel, the plane would be travelling from 32000 feet above the land.

The speed of an object is the ratio of distance and time it takes for the object to travel that distance.

Mathematically,

S = D/T

where

S is velocity

D is the distance traveled or distance traveled

T is the time it takes to travel that distance

Velocity is considered a scalar quantity. A scalar size only has a size. It does not provide information about the direction of object movement.

If an object moves at a constant speed, it means that the object moves the same distance in the same time interval.

Acceleration of an object is the ratio of velocity and time. vector size. Vector quantities have both magnitude and direction.

Mathematics,

a = v/t

When an object is in motion, its acceleration is never zero.

When an object moves, it moves a constant distance over time. Therefore, body positions cannot be the same from the same coordinate system.

Given in the question:

First the plane was travelling at a constant rate of 250  miles per hour.

Initial height was 20000 feet

Now,

As the speed increases and travels at a constant rate of 400 miles per hour.

Now,

   (400 /250 ) × 20000

=  1.6 × 20000

= 32000 feet

Thus, At a constant rate of 400 miles per hour travel, the plane would be travelling from 32000 feet above the land.

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Answer:

Answer:

Step-by-step explanation:

1. By definition, two angles are complementary if their sum is 90 degrees.

2. Keeping the information shown above on mind, you can write the following expression:

3. Now you must solve for x.

4. Therefore, you obtain that the value of x is the shown below

Answer: I know this is a bit late but for anyone looking the answer to this question, i got it right here :D.

Step-by-step explanation: I guessed and got it correct.

The graph representing Sondra's weekly earnings is plotted and attached.

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is Sondra receives an allowance of $10 per week, plus an additional $5 for each chore she completes.

Assume that her weekly earnings is $y. Assume she does [x] extra chores in a week. Then, we can model her earnings by the equation -

y = 5x + 10.

Refer to the graph attached.

Therefore, the graph representing Sondra's weekly earnings is plotted and attached.

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The mass of a 2018 Olympic gold medal in hectograms is 58.6 hg.

First, we need to know the mass of the Olympic gold medal in grams. According to the question, the mass of an Olympic gold medal is 586 grams.

To convert grams to hectograms, we need to divide the mass in grams by 100. This is because there are 100 grams in 1 hectogram.

To do the division, we can use a calculator. Dividing 586 by 100 gives us 5.86.

The answer we get is in hectograms, so we can write it as 5.86 hg. This means that the mass of a 2018 Olympic gold medal is 5.86 hectograms.

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Yes, the value of the function y=2ˣ will eventually exceed the value of the function y=x¹⁰.

The function y=2ˣ is an exponential function, which means its growth rate increases rapidly as the value of x increases. On the other hand, y=x¹⁰ is a polynomial function, and while its growth rate is also high, it does not increase as rapidly as the exponential function. When comparing the two functions, initially, the function y=x¹⁰ will have a higher value, but as x increases, there will come a point where the exponential growth of y=2^x will surpass y=x¹⁰.

Given enough increase in the value of x, the function y=2ˣ will eventually have a greater value than the function y=x¹⁰.

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Answer:

– 21x^3 y – 9x^2 y^2 e) is your answer

Step-by-step explanation:

Solve the following system for A and B:

{A = 7 x^2 + 3 x y

B = -3 x y

Express the system in matrix form:

(1 | 0

0 | 1)(A

B) = (7 x^2 + 3 x y

-3 x y)

Write the system in augmented matrix form and use Gaussian elimination:

(1 | 0 | 7 x^2 + 3 x y

0 | 1 | -3 x y)

Collect results:

Answer: {A = 7 x^2 + 3 x y  , B = -3 x y

then we multiply the results (7 x^2 + 3 x y) ( -3 x y) =  – 21x^3 y – 9x^2 y^2

Answer:

D. (7,2)

Step-by-step explanation:

-3 +10 is 7

9-7 is 2.

kinda just put them together, you get (7, 2)

I hope this helps!

pls ❤ and mark brainliest pls!

The image of (-3, 9) is (7,2).

Mathematically speaking, a translation is defined by the following operation:

\(P'(x, y) = P(x,y) + T(x,y)\) (1)

Where:

If we know that \(P(x,y) = (-3, 9)\) and \(T(x,y) = (10, -7)\), then the resulting point is:

\(P'(x,y) = (-3, 9) + (10, -7)\)

\(P'(x,y) = (7, 2)\)

Hence, the image of (-3, 9) is (7,2).

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The ordered pair that is the solution of the given system of inequalities is (2, -2)

A relationship between two expressions or values that are not equal to each other is called inequality.

Given is a system of inequalities, y < -x and 2x+y > 2, we need to determine solution set of the given system of inequalities,

The inequalities are,

y < -x....(i)

2x+y > 2

y < 2-2x...(ii)

To find the ordered pair, put y = -x in equation Eq(ii) and replace < by =

-x = 2 - 2x

x = 2

y = -2

Therefore, the ordered pair, is (2, -2) {look at the graph attached}

Hence, the ordered pair that is the solution of the given system of inequalities is (2, -2)

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We have proved the given argument using the method of Conditional Proof (CP) as part of the whole process.

In the given proof, we have to show that ~P -> ~R is true. We can prove it by using the method of Conditional Proof (CP) as a part of the whole process. Let us begin with the first proof.
Do the 1st proof by using CP with ~P as AP
Assumption: ~P
C: ~R
1: R -> (L & S)        Given
2: (L V M) -> P        Given
3: ~P                  Assumption
4: ~(L V M)            From 3 and 2 by Modus Tollens
5: ~L & ~M             From 4 by De Morgan's Law
6: ~L                  From 5 by Simplification
7: ~S                  From 1 and 6 by Modus Ponens
8: ~(L & S)            From 6 and 7 by Conjunction
9: ~R                  From 1 and 7 by Modus Ponens
10: ~P -> ~R           From 3 to 9 by CP
[44-2.2] Do the 2nd proof by using CP with R as AP
Assumption: R
C: ~P -> ~R
1: R -> (L & S)        Given
2: (L V M) -> P        Given
3: ~P                  To be proved
4: L V M               To be proved
5: L                   Assumption
6: L V M               From 5 by Addition
7: P                   From 6 and 2 by Modus Ponens
8: ~S                  From 1 and 5 by Modus Ponens
9: ~(L & S)            From 8 by De Morgan's Law
10: ~L V ~S            From 9 by De Morgan's Law
11: ~L                 Assumption
12: ~(L & S)           From 11 and 8 by Conjunction
13: ~L V ~S            From 12 by De Morgan's Law
14: ~S                 From 10 and 13 by Disjunctive Syllogism
15: (L & S) & P        From 7 and 5 by Conjunction
16: (L & S)            From 15 by Simplification
17: Contradiction      From 16 and 9
18: ~R                  From 17 by Negation Introduction
19: ~P -> ~R           From 3 to 18 by CP

The given argument needs to be proved using CP, where we have to show that ~P -> ~R is true. The first proof is done with ~P as an assumption, while the second proof is done with R as an assumption. The method of Conditional Proof is a method of proving a statement where we assume the negation of the consequent. The negation of the consequent is added as an assumption, and the premises are used to derive the negation of the antecedent. Once the negation of the antecedent is derived, we can discharge the assumption of the negation of the consequent, thereby proving the statement. In the given argument, we have used the method of CP to prove that ~P -> ~R. In both the proofs, we have used the premises and the assumptions to derive the conclusion. In the first proof, we assumed ~P and used the premises to derive ~R. In the second proof, we assumed R and used the premises to derive ~P -> ~R. Hence, we have proved the given argument using the method of CP.

Therefore, we have proved the given argument using the method of Conditional Proof (CP) as part of the whole process. We used two proofs in the argument, one with ~P as an assumption and the other with R as an assumption. We have shown that ~P -> ~R is true using the given premises and the method of CP.

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Answer:

SIMILAR

Step-by-step explanation:

The lines are parallel to each other, and one of the angles are 90 degrees. That is the only info that you get. You need to be able to make sure that another angle besides the 90 degrees is similar. The lines are parallel to each other, meaning that the other two angles should be equal in measure. See, if the angle in the second triangle gets bigger, the lines wouldn't be parallel, would they?

Answer:

85%

Step-by-step explanation:

(40 - 6)/40 * 100%

34/40 * 100%

85%

Answer:

a=-5, k=31

Step-by-step explanation:

Determine a and k so the given points are on the graph of the function:

(1,11) (2,-14)

\(y=a(x+1)^2+k\)

To find the required values, we substitute the points into the equation:

\(11=a(1+1)^2+k\)

\(-14=a(2+1)^2+k\)

Operating:

\(11=a(2)^2+k\)

\(-14=a(3)^2+k\)

Simplifying:

\(11=4a+k\)

\(-14=9a+k\)

Subtract the second equation from the first equation:

\(11+14=4a-9a\)

Simplifying:

\(25=-5a\)

Solving:

\(a=25/(-5)=-5\)

a=-5

Use this equation to find k:

\(11=4a+k\)

\(11=4(-5)+k\)

\(11=-20+k\)

k=31

a=-5, k=31

Answer:

a = -5

k = 31

Plz Mark brainliest!!!

Answer:

w= 25

Step-by-step explanation:

Cost of water= (w -1)¢

Cost of milk= (2w -11)¢

Let the certain number be x.

x(w -1)¢= 480¢ -----(1)

x(2w -11)¢= 780¢ -----(2)

From (1):

wx -x= 480 -----(3)

From (2):

2wx -11x= 780 -----(4)

(3) ×2:

2wx -2x= 960 -----(5)

(5) -(4):

(2wx -2x) -(2wx -11x)= 960 -780

Expand:

2wx -2x -2wx +11x= 180

9x= 180

Divide both sides by 9:

x= 180 ÷9

x= 20

Substitute x= 20 into (3):

w(20) -20= 480

20w -20= 480

20w= 480 +20

20w= 500

w= 500 ÷20

w= 25

Therefore, p = 0.33. Thus, the value of p is 0.33.

Given,

K(w) = 0.2 for w€ [0. p],

K(w) = 0.1 for w€ (p. p + 1],and

K(w) = -0.15 otherwise.

It is known that E(K) = 0

We need to find the value of p. Calculation of E(K)

E(K) = ∫₀^p (0.2)w dw + ∫ₚ^(p+1) (0.1)w dw + ∫_(p+1)^∞ (-0.15)w dw

E(K) = 0.1p² + 0.1p + (-0.15)(∞² - (p+1)²) - 0.2(0.5p²)

Since

E(K) = 0,0 = 0.1p² + 0.1p - 0.15(∞² - (p+1)²) - 0.1p²0.1p² - 0.1p² + 0.15(∞² - (p+1)²) = 0.1p

Simplifying the above equation

0.15(∞² - (p+1)²) = 0.1p2.25∞² - 2.25p² - 1.5p - 2.25 = 0

Multiplying by -4 to simplify the equation

9p² + 6p - 9∞² + 9 = 0

On solving, we get,

{-1 - (4*(-9)(-9² + 9))/2*9, -1 + (4*(-9)(-9² + 9))/2*9}{-16, 0.33}

Therefore, p = 0.33. Thus, the value of p is 0.33.

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The population mean time on death row is different than 15 years with p value is 0.0002.

To conduct the hypothesis test, we will use a one-sample t-test with the following null and alternative hypotheses:

Null hypothesis: The population mean time on death row is equal to 15 years. μ = 15

Alternative hypothesis: The population mean time on death row is different than 15 years. μ ≠ 15

We will use a significance level of 0.05.

First, we need to calculate the t-value:

t = (x - μ) / (s / √n)

t = (17.4 - 15) / (6.3 / √75)

t = 3.667

Next, we need to find the degrees of freedom:

df = n - 1

df = 74

Using an online calculator for the t-distribution, we find that the p-value for a two-tailed test with a t-value of 3.667 and 74 degrees of freedom is less than 0.00015 (or 0.0002 when rounded to 4 decimal places).

Since the p-value is less than the significance level of 0.05, we reject the null hypothesis and conclude that there is sufficient evidence to suggest that the population mean time on death row is different than 15 years.

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The Euler equation represents the relationship between current-period consumption and future-period consumption in the optimum. It is derived from intertemporal optimization in economics.

In the context of consumption, the Euler equation can be expressed as:

u'(Ct) = β * u'(Ct+1)

where:

- u'(Ct) represents the marginal utility of consumption in the current period,

- Ct represents current-period consumption,

- β is the discount factor representing the individual's time preference,

- u'(Ct+1) represents the marginal utility of consumption in the future period.

This equation states that the marginal utility of consumption in the current period is equal to the discounted marginal utility of consumption in the future period. It implies that individuals make consumption decisions by considering the trade-off between present and future utility.

Note: The Euler equation assumes a constant discount factor and a utility function that is differentiable and strictly concave.

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