Log 9l-Log13/ Log 245 – 45
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Answer:

-5×+12-7×=-3(5×+8)

-5×+12-7×=-15×+24

-12×+12=-15×+24

-12×+12=-15×+24

3×+12=24

3×=12

×=4

Step-by-step explanation:

-5×+12-7×=-3(5×+8)

-5×+12-7×+24

-12×+12=-15×+24

-12×+=-15×+24

Answer:

Step-by-step explanation:

(2 + 2)/(1 + 2)= 4/3

Answer:

To translate triangle ABC 3 units up, we need to add 3 to the y-coordinate of each vertex:

A' = (-3, 3 + 3) = (-3, 6)

B' = (0, 7 + 3) = (0, 10)

C' = (-3, 0 + 3) = (-3, 3)

Therefore, the coordinates of the vertices for the image triangle A'B'C' are A'(-3, 6), B'(0, 10), and C'(-3, 3).

So the correct answer is: A′(−3, 6), B′(0, 10), C′(−3, 3).

Haleema would have approximately £3947.46 in her account after 2 years and 11 months, considering the monthly compounding interest of 5%.

To calculate the amount of money in Haleema's account after 2 years and 11 months, we need to consider the monthly compounding interest on the account.

The interest rate is given as 5% per year, which means the monthly interest rate is (5%/12) = 0.4167%.

Let's calculate the final amount using the compound interest formula: A = P(1 + r/n)^(nt), where A is the final amount, P is the principal amount, r is the interest rate, n is the number of times interest is compounded per year, and t is the number of years.

In this case, P = £3700, r = 0.004167, n = 12 (monthly compounding), and t = 2.917 (2 years and 11 months).

Plugging these values into the formula, we get:

A = £3700(1 + 0.004167/12)^(12*2.917)

A ≈ £3947.46

The amount of money in Haleema's account after 2 years and 11 months would be approximately £3947.46.

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At least 3 decimal places, the probability that a person who tests positive actually has the disease is approximately 0.002482.

Bayes' relates the conditional probabilities of two events A and B as follows:

P(A | B) = P(B | A) × P(A) / P(B)

P(A) is the prior probability of A, P(B | A) is the conditional probability of B given A, P(B) is the marginal probability of B and P(A | B) is the conditional probability of A given B.

Let's define the following events:

D: the person has the disease

T: the person tests positive

We are interested in finding P(D | T) the probability that a person who tests positive actually has the disease.

We are given that:

P(D) = 0.009 (the incidence rate of the disease)

P(T | D') = 0.03 (the false positive rate, i.e., the probability of testing positive given that the person does not have the disease)

P(T' | D) = 0.06 (the false negative rate, i.e., the probability of testing negative given that the person has the disease)

We can compute the marginal probability of testing positive as follows:

P(T) = P(T | D) × P(D) + P(T | D') × P(D')

= (1 - P(T' | D)) × P(D) + P(T | D') × (1 - P(D))

Plugging in the given values, we get:

P(T) = (1 - 0.06) × 0.009 + 0.03 × (1 - 0.009)

≈ 0.0325

Now we can use Bayes' to compute P(D | T):

P(D | T) = P(T | D) × P(D) / P(T)

Plugging in the given values and the computed value of P(T), we get:

P(D | T) = (1 - P(T' | D)) × P(D) / P(T)

≈ (1 - 0.06) × 0.009 / 0.0325

≈ 0.002482

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Answer:

-16

Step-by-step explanation:

(3/4)x+7=-5

(3/4)x=-12

x=-12(4/3)

x=-16

Answer/Step-by-step explanation:

The 7 problems Calvin made mistakes in are as follows:

1. 76,450,000

We are moving the decimal point to our left by 7 decimal places. Therefore, the exponent of 10 should be 7 not 8.

The correct scientific notation = \( 7.645*10^7 \)

2. 0.000327

We move the decimal point to our right by 4 decimal places. Since we are counting to our right, the exponent of 10 should be -4 not 4.

The correct scientific notation = \( 3.27*10^{-4} \)

4. 116,000,000,000

Number of decimal places moved to our left = 11

The exponent of 10 should be 11 not 9.

The correct scientific notation = \( 1.16*10^11 \)

5. 0.024

Number of decimal places moved to our right = 2

Since we are moving to our right, exponent of 10 = -2.

Calvin made a mistake here by not placing a decimal point in the first number after the last 0 to our right.

The correct scientific notation = \( 2.4*10^{-2} \)

7. 100

There are just 2 zeros.

Therefore, the exponent of 10 = 2 not 3.

correct scientific notation = \( 10^2 \)

9. 900,000

Number of decimal places moved to our left = 5

Since we are moving to the left, the exponent of 10 = 5 not -5

The correct scientific notation = \( 9*10^5 \)

10. 0.00633

Number of decimal places moved to our right = 3

The exponent of 10 = -3

Calvin made a mistake by wrongly placing the decimal point.

The correct scientific notation = \( 6.33*10^{-3} \)

Answer:

3,168 cal= 2lbs of Ice Cream

Step-by-step explanation:

I need to fin how many calories are in two pounds of that ceratin ice cream.

594cal/6=99cal

99cal=1 oz

16oz x 2 = 32oz

99 x 32 = 3,168 cal

There is 3,168 cal in two pounds of ceratin ice cream.

Answer:

I think its the angle xyz

Step-by-step explanation:

Because its just bigger and flipped

Answer:

I don´t either.

Step-by-step explanation:

Mai travels abοut 4.2 feet per secοnd faster than Kiran.

Circumference is the distance arοund the οutside οf a circle. It is the length οf the bοundary that enclοses a circle. Tο find the circumference οf a circle, yοu can use the fοrmula C=2πr, where "C" represents the circumference, "π" is a mathematical cοnstant (apprοximately equal tο 3.14159), and "r" is the radius οf the circle (the distance frοm the center οf the circle tο its edge). Sο, the circumference οf a circle is directly prοpοrtiοnal tο its radius. This means that if yοu dοuble the radius οf a circle, its circumference will alsο dοuble.

The circumference οf Kiran's ring is:

C1 = 2πr1 = 2π(9 ft) ≈ 56.55 ft

The circumference οf Mai's ring is:

C2 = 2πr2 = 2π(r1 + 8 ft) = 2π(17 ft) ≈ 106.81 ft

Therefοre, Mai travels a distance οf 106.81 - 56.55 = 50.26 feet mοre than Kiran in οne rοtatiοn.

The time it takes fοr οne rοtatiοn is given as 12 secοnds. Therefοre, the speed οf Kiran in feet per secοnd is:

V1 = C1 / t = 56.55 ft / 12 s ≈ 4.71 ft/s

And the speed οf Mai in feet per secοnd is:

V2 = C2 / t = 106.81 ft / 12 s ≈ 8.90 ft/s

The difference in their speeds is:

V2 - V1 = 8.90 ft/s - 4.71 ft/s ≈ 4.2 ft/s

Therefοre, Mai travels abοut 4.2 feet per secοnd faster than Kiran.

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Answer:

i think its going to be 180* degreas! sorry if im wrong

Step-by-step explanation:

Answer:

since equation 1 says that X= 1

any other equation saying x=1 will be valid!

Equation A

Equation B

Equation C

Equation D

all correct

The least possible degree of polynomial is 2

The unit rate of computers per day using the graph is that 12 computers are made per day.

The unit rate is how many units of quantity correspond to the single unit of another quantity. We say that when the denominator in rate is 1, it is called unit rate. Unit rates is said to be the amount of something in each unit or per unit.

To obtain the unit rate of computers sold per day using the graph, we need to obtain the slope of the graph, which is the change in y per change in x

So, it is given by:

\(\text{Slope} = \dfrac{\text{change in y}}{\text{change in x}}\)

\(\text{Slope} = \dfrac{\text{y}_2-\text{y}_1}{\text{x}_2-\text{x}_1}\)

\(\text{y}_2 = 60 , \ \text{y}_1 = 36 , \ \text{x}_2 = 5, \ \text{x}_1 = 3.\)

\(\text{Slope} = \dfrac{(60 - 36)}{(5 - 3)} = \dfrac{24}{2} = 12\)

\(\bold{Slope = 12}\)

Unit rate = 12 computers per day.

The attachment of the graph is given below.

Therefore, the unit rate of computers per day is 12.

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Step-by-step explanation:

To find the numerical limits for a D grade, we need to determine the cutoff points for the top 77% and bottom 8% of scores.

Using a standard normal distribution table or a calculator, we can find that the z-score cutoff points for the top 77% and bottom 8% are approximately 0.61 and -1.41, respectively.

To find the corresponding raw scores, we use the formula:

raw score = (z-score x standard deviation) + mean

For the top 77%, we have:

raw score = (0.61 x 7.2) + 81.6 = 86.392, which we can round up to 87

For the bottom 8%, we have:

raw score = (-1.41 x 7.2) + 81.6 = 70.848, which we can round down to 70

Therefore, the numerical limits for a D grade are scores below 87 and above 70.

Step-by-step explanation:

we need to use the standard normal distribution table for mean = 0, standard deviation = 1.

to use it for our normal distribution with mean = 81.6 and standard deviation = 7.2 we need to find the transformation from the standard normal distribution to our normal distribution.

this is done by the z-scores of the interval limits (the z-score tells us how many standard deviations the desired value is away from the mean value).

and to correlate the given %-values to the distribution interval limits, we need to look up the corresponding p-value (probability value) in the table.

and then we need to calculate backwards to get our specific interval limits.

for the D-grade we are looking for the upper limit to "below the top 77%", which is "below the bottom 23%".

we have to assume this means "below or equal to the bottom 23%", just in case.

the lower level will be "above the bottom 8%".

so, the p-value for 23% = 0.2300.

that gives us the z-score ≈ -0.74.

z-score = (interval-limit - mean-value)/standard-deviation

-0.74 = (interval-limit - 81.6)/7.2

-0.74×7.2 = interval-limit - 81.6

-5.328 = interval-limit - 81.6

interval-limit = 76.272 ≈ 76

the p-value for 8% = 0.0800.

that gives us the z-score ≈ -1.41

-1.41 = (interval-limit - 81.6)/7.2

-1.41×7.2 = interval-limit - 81.6

-10.152 = interval-limit - 81.6

interval-limit = 71.448 ≈ 71

the students with a score s

71 < s <= 76

get a D.

(greater than 71 but lower or equal to 76).

Answer:

commutative property

Step-by-step explanation:

Answer:

Commutative property

Step-by-step explanation:

Example:

2 + 3 = 3 + 2

 5 = 5

Answer:

20°

Step-by-step explanation:

Congruent Triangles:

If two triangles are congruent, their angles have the same measure.

Angle P corresponds to Angle J

Angle J measures 20º, so angle P will also measure 20º

Answer:

Step-by-step explanation:

Given the following logarithmic expressions \(log_ax = 3, log_ay = 7, log_az = -2\), we are to find the value of \(log_a(\frac{x^3y}{z^4} )\)

\(from\ log_ax = 3, x = a^3\\\\from\ log_ay = 7,y = a^7\\\\from\ log_az = -2, z = a^{-2}\)Substituting x = a³, y = a⁷ and z = a⁻² into the log function \(log_a(\frac{x^3y}{z^4} )\) we will have;

\(= log_a(\frac{x^3y}{z^4} )\\\\= log_a(\dfrac{(a^3)^3*a^7}{(a^{-2})^4} )\\\\= log_a(\dfrac{a^9*a^7}{a^{-8}} )\\\\= log_a\dfrac{a^{16}}{a^{-8}} \\\\= log_aa^{16+8}\\\\= log_aa^{24}\\\\= 24log_aa\\\\= 24* 1\\\\= 24\)

Hence, the value of the logarithm expression is 24

Yes, based on the 99% confidence interval (0.297, 0.503), there is convincing evidence of a difference in the proportion of "big" bank customers who bank with more than one bank compared to the "small" customers who bank with more than one bank.

The confidence interval (0.297, 0.503) represents the range of values within which the true difference in proportions between the two customer groups is likely to fall with 99% confidence. Since the interval does not include zero (0), we can conclude that there is a statistically significant difference between the proportions.

To further explain, the confidence interval was constructed using the sample proportions and the standard error. The sample proportion for the "big" customers who bank with other banks is 160/200 = 0.8, and for the "small" customers, it is 120/300 = 0.4. The standard error takes into account the sample sizes and proportions, and it measures the uncertainty in the estimation.

Since the confidence interval does not include zero, it indicates that the true difference in proportions is unlikely to be zero. In other words, there is strong evidence that the proportion of "big" bank customers who bank with more than one bank is higher than the proportion of "small" customers who do the same.

Therefore, based on the provided data and the confidence interval, we can conclude that there is convincing evidence of a difference in the proportion of "big" bank customers who bank with more than one bank compared to the "small" customers who bank with more than one bank.

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Answer:

....................

Step-by-step explanation:

A = 12

B = 30%

Answer:

X=6+3y

y=x-6/3

Step-by-step explanation:

1)x-3y+3y=6+3y

            x=6+3y

2)3y+6=x

      3y=x-6

       y=x-6/3

The solution of x in the inequality is x > 2

The inequality is given as:

5x + one third(3x + 6) > 14

Rewrite properly as:

5x + 1/3(3x + 6) > 14

Open the brackets

5x + x + 2 > 14

Subtract 2 from both sides of the inequality

5x + x + 2 - 2> 14 - 2

Evaluate the difference

5x + x > 12

Evaluate the like terms

6x > 12

Divide both sides of the inequality by 2

x > 2

Hence, the solution of x in the inequality is x > 2

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Answer:

x > 2, like the other guy said

Step-by-step explanation:

I hope this helps

Answer:

FOURTH

Step-by-step explanation:

AHHHHHHHHHHHHHHHHHHH 6 x 4 = 24

x IS 6

The model that represents the equation 4x  = 24 is the 4th table.

The model that represents the equation 4r = 24 can be calculated as follows;

4x = 24

where

x is the variable

Therefore, 4x can be represented as follows:

4x  = x + x + x + x

Therefore, the model that represents the equation 4x = 24.

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Answer:

 (a) at least one x-intercept

  (b) at least one y-intercept

  (e) the domain of x

Step-by-step explanation:

Given g(x) = (-4x² +36)/(x+3) and f(x) as shown in the graph, you want to know what features the functions have in common.

The function g(x) can be simplified:

  \(g(x)=\dfrac{-4x^2+36}{x+3}=\dfrac{-4(x^2 -9)}{x+3}=\dfrac{-4(x+3)(x-3)}{x+3}\\\\g(x)=-4(x-3)\quad x\ne-3\)

This is the equation of a straight line with negative slope and a hole at coordinates (-3, 24). That is, the domain excludes x = -3.

The line has x-intercept (3, 0) and y-intercept (0, 12).

Both functions have an x-intercept at (3, 0), at least one x-intercept, choice A.

Both functions have a y-intercept at (0, 12), at least one y-intercept, choice B.

Only function f(x) has an oblique asymptote.

Only function f(x) has a vertical asymptote.

Both functions exclude x = -3 from their domains, so they have the same domain, choice E.

  Choices A, B, E identify the shared features.

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Step-by-step explanation: I hope this helps.

Answer:

Answer:

No solution

Step-by-step explanation:

\(\sqrt{6x-3}=2\sqrt{x} \\ \\ 6x-3=4x \\ \\ -3=2x \\ \\ x=-\frac{3}{2} \)

However, this would make the right hand side of the equation undefined over the reals, so there is no solution.

Answer:

2,958

Step-by-step explanation:

2,000+900=2,900 2,900+50=2,950 2,950+8=2,958