Write the equation as a single logarithm.
log(x^2- 16) -log(x + 4)
a. log4
c. 108((x^2- 16)(x + 4)
b. log(x-4)
d. Iog(x + 4)

Answer:

x= 1/11

hope this helps someway

The value of square root of x + y squared + z squared is 30

x = 2, y = 3 and z = -5

\(( \sqrt{x + y} )^{2} + z ^{2} \)

substitute the value of x, y and z

\( = ( \sqrt{2 + 3} )^{2} + - 5 ^{2} \)

simplify the square root and square

\( = (2 + 3) + 25\)

\( = 5 + 25\)

\( = 30\)

Ultimately, x + y squared + z squared is 30

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Answer:

45.6

Step-by-step explanation:

trust me bro(don't)

Answer:

17 1/2

Step-by-step explanation:

The quickest way is to put it as it improper fraction and then multiply it like normal.

Answer:

Cos²(45°—A) + cos²(45°+A)

= [2 cos²(45°—A) + 2 cos²(45°+A)] /2

= [{2 cos²(45°—A)—1} + {2 cos²(45°+A)—1} + 2] /2

= [cos2(45°—A)+cos2(45°+A)+2]/2

= [cos(90°—2A)+cos(90°+2A)+2]/2

= (sin2A—sin2A+2)/2

= 2/2

= 1

Answer:

42 units

Step-by-step explanation:

Area of a trapezoid is always 1/2(b1+b2)*h

so here base 1 is 4 units, and base 2 is 10 units. When we add these we get 14, divided by 2 which is 7, and multiplied by height of 6, which is 42

Answer:

B.

Step-by-step explanation:

the x intercept passes through -5 and the y intercept passes through 3

Minimum number of gallons pumped after 30 days = 24,192,000 gallons

The minimum amount of water pumped in 1 minute = 1120 gallons

The minimum number of hours used for pumping per day = 12 hours

Number of minutes in 1 hour = 60 minutes

Number of minutes in 12 hours = 12 x 60 = 720 minutes

The minimum amount of water pumped per day = 1120 x 720

The minimum amount of water pumped per day = 806400 gallons

Let the number of days used for pumping be x

Let the total number of gallons pumped x days after pumping begins = y

Since 806400 gallons is pumped per day:

y = 806400x

Minimum number of gallons pumped after 30 days, that is, x = 30

y = 806400 (30)

y = 24,192,000 gallons

Minimum number of gallons pumped after 30 days = 24,192,000 gallons

Answer:

i forgot just look it up that is what i do sometimes i look up videos

Step-by-step explanation:

Answer:

9 6/7

This is the answer

The average number of likes will be 16.5. the correct option is D.

Mean is defined as the ratio of the sum of the number of data sets to the total number of data. The mean is calculated by adding all the data points and dividing it by the total number of the data.

Given that Bethany has a photo website where she places photos that she has taken so others can see them. Below is how many likes each of her current photos was given: 10, 13, 15, 15, 17, 29.

The average will be calculated as:-

Mean = ( 10 + 13 + 15 + 15 + 17 + 29 ) / 6

Mean = 99 / 6

Mean = 16.5

Therefore, the average number of likes will be 16.5. the correct option is D.

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Answer:

answer is B

Step-by-step explanation:

edgen 2021

Answer:

hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

Step-by-step explanation:

The average rate of change over is 1.

Given that;

the function is,

⇒ g (t) = - (t - 1)² + 5

Hence, We need to determine the average rate of change over the interval - 4 ≤ t ≤ 5.

The value of G(-4):

The value of G(-4) can be determined by substituting t = -4 in the function

⇒ g (t) = - (t - 1)² + 5

Thus, we have,

⇒ g (t) = - (-4 - 1)² + 5

⇒ g (t) = - 20

Thus, the value of G(-4) = -20

The value of G(5):

The value of G(5) can be determined by substituting t = 5 in the function , we get,

⇒ g (t) = - (t - 1)² + 5

⇒ g (t) = - (5 - 1)² + 5

⇒ g (t) = - 11

Thus, the value of G(5) is, -11

Now, Average rate of change:

The average rate of change can be determined using the formula,

⇒ G(b) - G (a) / (b - a)

where, a = - 4 and b = 5

Substituting the values, we get,

⇒ G(5) - G (-4) / (5 - (-4))

⇒ ( - 11 - (- 20)) / 9

⇒ 9/9

⇒ 1

Thus, the average rate of change over the interval is. 1.

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Answer:

9,427) y=5

is correct answer

Answer:

a₁₅ = 142

Step-by-step explanation:

General form of an arithmetic sequence:

\(\boxed{a_n=a+(n-1)d}\)

where:

Given:

Substitute the given values into the formula and solve for a:

\(\begin{aligned}a_n&=a+(n-1)d\\52&=a+(6-1)10\\52&=a+(5)10\\52&=a+50\\a&=52-50\\\implies a&=2\end{aligned}\)

Substitute the found value of a and the given value of d into the general formula to create an equation for the nth term:

\(\boxed{a_n=2+10(n-1)}\)

To find the 15th term, substitute n = 15 into the found equation:

\(\begin{aligned}a_n&=2+10(n-1)\\a_{15}&=2+10(15-1)\\a_{15}&=2+10(14)\\a_{15}&=2+140\\\implies a_{15}&=142\end{aligned}\)

Therefore, the 15th term of the given arithmetic sequence is 142.

Answer: a₁₅=142

Step-by-step explanation:

\(6th\ term\ is\ a_6=52\ \ \ \ \ \\a\ common \ difference\ d\ is\ 10\\to\ find\ 15th\ term\ a_{15}\\\\\boxed {a_n=a_1+d(n-1)}\\\\Hence,\\a_6=a_1+10(6-1)\\52=a_1+10(5)\\52=a_1+50\\52-50=a_1+50-50\\2=a_1\\Thus,\ a_1=2\\a_{15}=a_1+10(15-1)\\a_{15}=2+10(14)\\a_{15}=2+140\\a_{15}=142\)

Answer: Equilateral

Step-by-step explanation:

It's equilateral because it says that each side of the triangle is 4cm. In simple words, all the sides of triangle are equal. Such a triangle is called an equilateral triangle.

Hope you understood.

Ambas hormigas se encontraran a 15 segundos, y a 150 centímetros del punto A.

Dado que desde los extremos A y B de un tendedero de 240 cm de largo partes dos hormigas simultáneamente, y la hormiga que sale de A avanza a 10 cm/s, y la que se mueve desde el extremo B lleva una carga, por lo que se desplaza a 6 cm/s, para determinar a qué distancia del punto A se encontrarán y en cuánto tiempo se debe realizar el siguiente cálculo:

Por lo tanto, ambas hormigas se encontraran a 15 segundos, y a 150 centímetros del punto A.

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Based on the information provided, the missing number would be number 6.

When it comes to finding missing numbers, the first step is to decipher or identify the pattern. This can be either a sequence of numbers or the application of a specific mathematical operation such as subtraction or addition.

In this case, we can see there is a sequence of numbers that seems to go from 1 to 9. However, if you check carefully, the number 6 is missing, which is the number you need to add.

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9514 1404 393

Answer:

  D.  J(x) = 1/4(-x)^3

Step-by-step explanation:

Reflection across the y-axis replaces x with -x. Then if Fr(x) represents the reflected function, we have ...

  Fr(x) = (-x)^3.

Compression by a factor of c < 1 multiplies the function value by c. Then ...

  J(x) = 1/4·Fr(x)

  J(x) = (1/4)(-x)^3

The value of c does not affect the covariance of Y and Z.

The covariance of Y and Z can be calculated as Cov(Y, Z) = E[YZ] - E[Y]E[Z]. Since X is Bernoulli with parameter p and E[X] = p, we have E[Z] = pE[Y]. Hence,

Cov(Y, Z) = E[YZ] - E[Y]E[Z]

= E[YXY] - pE[Y]^2

= pE[Y^2 X] - pE[Y]^2

= p(E[Y^2]E[X] + Var[Y]p) - pE[Y]^2

= p(1 * p + 1 * p^2) - p^2

= p - p^2

It can be seen that the value of c does not affect the covariance of Y and Z.

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Answer:

the correct answer is 193

Step-by-step explanation:

25×1-0=25

25×2-1=49

49×2-1=97

97×2-1=193

Answer: No

Step-by-step explanation:

to be proportional, both numbers have to increase by the same number

because if u multiply 6 by 2 you get 12, but when you multiply 10 by 2 you get 20, not 60 it would be proportional if you said 6 and 10 in to 12 and 20 in

The cost function is an illustration of an exponential growth function, and as such the price of product A is increasing

The cost function of product A is given as:

\(C(x) = 72(1.25)^x\)

An exponential function is represented as:

\(C(x) =ab^x\)

Where b is the rate of the function.

When b exceeds 1, then the function represents growth and the value of the function increases.

Hence, the price of product A is increasing

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Answer: 14

Step-by-step explanation:

Looking at the chart 14 is the lowest number on any month between 2010 and 2011. It was in September of 2011.

Answer:

$3.00

Step-by-step explanation:
The drinks for the first family were 4, and the drinks for the second were 3. They were 2 numbers apart in price and so that means that they costed around $1. Minus a drink on the first to get $17.00. Now tell how far apart it is.

The expression that will represent the volume of the identical rectangular base pyramid is: 2[One-third (5) (0.25) (2)] cubic units.

To calculate for the volume of a rectangular base pyramid, we use the formula:

volume = 1/3 × area of base rectangle × height

volume of one identical pyramid = (1/3 × 5 × 0.5 × 2)cubic units

volume of the two identical pyramid = 2(1/3 × 5 × 0.5 × 2)cubic units.

Therefore, the expression that will represent the volume of the identical rectangular base pyramid is: 2[One-third (5) (0.25) (2)] cubic units.

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Answer:

y ≤ 3x − 1

Step-by-step explanation:

The line has a y-intercept of -1 and a slope of 3.

The shaded area is below the line, so we use < or ≤.

The line is solid, not dashed, so we use ≤.

y ≤ 3x − 1