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What is the product?

1. The missing number is 17.

2. The missing number is 7.

3. The missing number is 5.

4. The missing numbers are 4 and 5.

1. For the expression x^2 + x + ?, we can find the missing numbers by comparing it to the factored form (x+1)(x+17). By expanding the factored form, we get x^2 + 18x + 17. Therefore, the missing number is 17.

2. For the expression x^2 + 9x + 14, we can find the missing numbers by comparing it to the factored form (x+2)(x+?). By expanding the factored form, we get x^2 + 2x + ?x + 2?. We need to find two numbers that multiply to 14 and add up to 9. The numbers that satisfy these conditions are 2 and 7. Therefore, the missing number is 7.

3. For the expression x^2 - 7x + 10, we can find the missing numbers by comparing it to the factored form (x-2)(x-?). By expanding the factored form, we get x^2 - 2x - ?x + 2?. We need to find two numbers that multiply to 10 and add up to -7. The numbers that satisfy these conditions are -2 and -5. Therefore, the missing number is 5.

4. For the expression x^2 - 9x + 20, we can find the missing numbers by comparing it to the factored form (x-?)(x-?). By expanding the factored form, we get x^2 - ?x - ?x + ?. We need to find two numbers that multiply to 20 and add up to -9. The numbers that satisfy these conditions are -4 and -5. Therefore, the missing numbers are 4 and 5.

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Answer:

0.8333333

Step-by-step explanation:

Answer:  7/8

-------------------

y=3 if x=-1

Step-by-step explanation:

First, plug in -1 for x then add inside parentheses and distribute:

y-3=2(-1+1)

y-3=2(0)

y-3=0

Next, add 3 to both sides of the equation to get the answer for y:

y-3=0

y+3=+3

y=3

Final answer:

(-1, 3)

The length of the altitude is 9 units.

To solve this problem, we can use the geometric relationship in a right triangle between the lengths of the altitude, the hypotenuse, and the segments it divides.

Let the length of the altitude be 'h'. According to the problem, the altitude divides the hypotenuse into segments of lengths 6 and 9. Let's denote the lengths of these segments as 'x' and 'y', respectively.

Using the properties of similar triangles, we can set up the following proportion:

h / x = y / (x + y)

Cross-multiplying the proportion:

h(x + y) = xy

Expanding:

hx + hy = xy

Rearranging the equation:

hx - xy = -hy

Factoring out 'h':

h(x - y) = -hy

Dividing both sides by (x - y):

h = -y

From the given information, we know that the lengths of the segments are 6 and 9. So, we substitute x = 6 and y = 9 into the equation:

h = -(9)

h = -9

The length of the altitude is 9 units.

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Question

The altitude to the hypotenuse of a right triangle divides the hypotenuse into segments of lengths 6 and 9. What is the length of the altitude?

Answer:

3x10^23

Step-by-step explanation:

thats what i got on my calculator

Answer:

[tex]3 \times {10}^{14} [/tex]

Step-by-step explanation:

[tex] \frac{1.14 \times {10}^{7} }{3.8 \times {10}^{ - 7} } \\ = 3 \times {10}^{7 - ( - 7)} \\ = 3 \times {10}^{7 + 7} \\ = 3 \times {10}^{14} [/tex]

Answer:

Step-by-step explanation:

Given:

WT║XV

∠XWT ≅ ∠ZVR

To prove:

XY║VZ

               Statements                           Reasons

1). WT║XV, ∠XWT ≅ ∠ZVR            1). Given

2). ∠XWT ≅ ∠YXV                          2). Corresponding angles

3). ∠YXV ≅ ∠ZVR                           3). Transitive property of equality

4). XY║VZ                                       4). Corresponding angles converse

Answer:

10 nickels and 34 dimes

Step-by-step explanation:

The utilization of the teller is approximately 53.33%.

To calculate the utilization of the teller, we need to compare the arrival rate and the service rate. The utilization represents the fraction of time the server (teller) is busy serving customers.

The arrival rate is given as 8 customers per hour, which means that, on average, 8 customers arrive at the teller's window in one hour. This follows a Poisson distribution.

The service rate is given as 15 customers per hour, indicating that, on average, the teller is able to serve 15 customers in one hour. The service times follow an exponential distribution.

Utilization is calculated as the ratio of the arrival rate to the service rate. In other words:

Utilization = Arrival rate / Service rate

Substituting the given values:

Utilization = 8 / 15 ≈ 0.5333

To express this as a percentage, we multiply the result by 100:

Utilization = 0.5333 * 100 ≈ 53.33%

Therefore, the utilization of the teller in this scenario is approximately 53.33%. This means that, on average, the teller is occupied serving customers about 53.33% of the time, and the remaining time is idle or available for serving new customers.

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Answer:

a = -1

Step-by-step explanation:

-2 (3a-2)=(7-3a)

-6a+4=7-3a

-6a+3a=7-4

-3a=3

a=3/-3

a= -1

value of a is -1

Answer:

3 Terms

Step-by-step explanation:

4x^5

-16x^2

13x^8

Answer:

1. blank is 23.1×10^9

2.blank is 2.31×10^3

3.blank is square meter

Answer:

1) 23.1×10^9

2) 2.31×10^3

3)square meter

Step-by-step explanation:

Answer:

76 degrees

Step-by-step explanation:

JK=KL and their angles are equal hence <KJL and <KLJ are the same.

sum of angle in triangles is 180 degrees.

x°+x° +28°=180°

x= 76 degrees

The value of Matina's account in four years, considering the $2,000 deposits at the beginning of each year and a 5% annual interest rate, would be approximately $8,620.25.

To calculate the value of Matina's account in four years, we can use the formula for the future value of an ordinary annuity.

The formula is:

[tex]FV = P \times [(1 + r)^n - 1] / r[/tex]

Where:

FV is the future value of the annuity

P is the periodic payment or deposit amount

r is the interest rate per period

n is the number of periods.

P = $2,000 (deposit amount)

r = 5% = 0.05 (annual interest rate)

n = 4 (number of years)

Plugging in the values into the formula:

[tex]FV = $2,000 \times[(1 + 0.05)^4 - 1] / 0.05.[/tex]

Simplifying the expression:

[tex]FV = $2,000 \times [1.05^4 - 1] / 0.05[/tex]

Calculating the exponential term:

[tex]1.05^4\approx 1.21550625[/tex]

Plugging in the calculated value:

[tex]FV = $2,000 \times (1.21550625 - 1) / 0.05[/tex]

[tex]FV ≈ $2,000 \times 0.21550625 / 0.05[/tex]

FV ≈ $8,620.25

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Answer:

d) Rhoda's method

Step-by-step explanation:

We are given an Algebraic expressions

Negative 2 (3 x minus 12) = negative 6 x + 24.

= -2(3x - 12) = -6x + 24

Distributive property states that:

a(b - c) = ab - ac

2(3x - 12) = -2 × 3x - (-2 ×12)

= -6x + 24

From the above question, we can deduce the following information:

a) Zoe

Step 1

Substitute opposite values of x into both expressions.

2(3x - 12) = -6x + 24

Lets say x = 1, opposite of 1 = -1

Hence

2(3 × 1 - 12) = -6(-1) + 24

-2(3 - 12) = 6 + 24

-6 + 24 = 6 + 24

18 ≠ 18

Step 2.

The expressions are equivalent if the values of the expressions are equal.

Zoe is wrong

b) Latoya

Step 1

Substitute the same value of x into both expressions.

Step 2

The expressions are equivalent if the value of one of the expressions is zero.

Latoya is wrong

c) Christina

Step 1

Substitute opposite values of x into both expressions.

Step 2

The expressions are equivalent if the values of the expressions are opposites.

Christina is wrong

d) Rhoda

Step 1

Substitute the same value of x into both expressions

-2(3x - 12) = -6x + 24

Let say x = 1

-2(3 × 1 - 12) = -6(1) + 24

-2(3 - 12) = -6 + 24

-6 + 24 = -6 + 24

18 = 18

Step 2

The expressions are equivalent if the values of the expressions are equal.

Therefore, Rhoda method is correct

Answer:

Rhoda

Step-by-step explanation:

sub same values of x into both expressions. The expressions are equivalent if the values of the expressions are equal

Answer:

30

Step-by-step explanation:

Dominique should have paid $30

ex: 7.5 x 4.00= 30

Answer:

see explanation

Step-by-step explanation:

To find the first 3 terms, substitute n = 1, 2, 3 into the n th term formula, that is

n = 1 : 1 - 4 = - 3

n = 2 : 2 - 4 = - 2

n = 3 : 3 - 4 = - 1

The first 3 terms are - 3, - 2, - 1

Similarly find the tenth term by substituting n = 10 into the formula

10 - 4 = 6

The tenth term is 6

Answer:

3 months

Step-by-step explanation:

in order to find how many months it would take for Alex to drive 6,750 miles we have to find how many miles he drives in a month so you would have to divide 20,250 by 9:

20,250/9 = 2,250 miles per month

you then divide 6,750 by 2,250 to get the number it months it would take him to drive 6,750 miles:

6,750/2,250= 3

It would take him 3 months to drive 6,750 miles

alex will take 3 months to drive 6,750 miles

Answer: Should be 140000 cm

Step-by-step explanation:I may be wrong but 240 x 5 is 1400 and that to cm is 140000

Answer:

60,000 cm

Step-by-step explanation:

1 m = 100 cm

So, 120 m = 12,000 cm.

120 m (5 times) = 600 m

600 m = 100 (600)

            = 60,000 cm

Answer:

I'm pretty sure the answer would be 90

Step-by-step explanation:

300 x 0.3 = 90

Security B has a higher expected return of 17.2%, but it also has a higher risk as measured by its higher variance and standard deviation. On the other hand, Security A has a lower expected return of 12%, but it also has a lower risk as measured by its lower variance and standard deviation.

The expected return, variance, and standard deviation for the given probability distribution are as follows: 1. Expected Return.

The expected return is the average of all the possible returns, weighted by the probability of each return occurring. It can be calculated as follows:

Expected Return of Security A = (0.2 x 10%) + (0.6 x 15%) + (0.2 x 20%)= 12%Expected Return of Security B = (0.25 x 12%) + (0.4 x 20%) + (0.35 x 18%)= 17.2%.

Thus, Security B has a higher expected return of 17.2%, compared to Security A's expected return of 12%.2..

VarianceThe variance measures the average deviation of each return from the expected return. It is calculated as follows:Variance of Security A = [(0.2 x (10% - 12%)²) + (0.6 x (15% - 12%)²) + (0.2 x (20% - 12%)²)] = 1.44%.

Variance of Security B = [(0.25 x (12% - 17.2%)²) + (0.4 x (20% - 17.2%)²) + (0.35 x (18% - 17.2%)²)] = 7.57%Thus, Security B has a higher variance of 7.57%, compared to Security A's variance of 1.44%.3.

Standard DeviationThe standard deviation is the square root of the variance and measures the dispersion of the returns around the expected return. It is calculated as follows:

Standard Deviation of Security A = √1.44% = 1.2%Standard Deviation of Security B = √7.57% = 2.75%Thus, Security B has a higher standard deviation of 2.75%, compared to Security A's standard deviation of 1.2%.

In conclusion, Security B has a higher expected return of 17.2%, but it also has a higher risk as measured by its higher variance and standard deviation. On the other hand, Security A has a lower expected return of 12%, but it also has a lower risk as measured by its lower variance and standard deviation.

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When calculating the impedance of a series R-L circuit, the total impedance is equal to the complex sum of the total series resistance and total series reactance. Therefore, the correct option is (c) impedance is equal to the complex sum of the total series resistance and total series reactance.

A series R-L circuit contains resistance and inductance components connected in series across an AC source. The voltage across both the resistance and the inductor is the same in a series R-L circuit. It is the total current through the circuit that is in phase with the resistor's voltage and 90° out of phase with the inductor's voltage. The inductive reactance is denoted by XL, which is a function of the inductor's value and the frequency of the AC supply.In an R-L circuit, there are two types of impedances: total impedance and phase angle. The total impedance Z is equal to the complex sum of the circuit's resistance and reactance. It is measured in ohms (Ω).Resistance is equal to the sum of resistances in series, and series reactance is equal to the sum of reactances in series.

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Answer:

$24.60

Step-by-step explanation:

$164 x .15= $24.60

Answer:

24.6

Step-by-step explanation:

15% = 0.15

164×0.15=24.6

24.6 is what he saves out of 164$

Undamped forced oscillation and Beats Phenomenon Undamped forced oscillation:In an undamped forced oscillation, the amplitude of oscillation can become very large if the driving force is close to the natural frequency of the oscillator. Such oscillations are observed, for example, in the vibrations of a guitar string when it is plucked.

The energy input from the plucking causes the string to vibrate at its natural frequency.Beats phenomenon:Beats are the oscillations that result when two sound waves of slightly different frequencies interfere with one another. They are the result of the difference between the frequencies of the two waves. Beats are commonly observed in music and are a fundamental concept in sound and acoustics.

Now, let's find the solution of the given initial value problem:The given equation is x''+33.64x=4cos(6t) with x(0)=0 and x'(0)=0.To solve this, first, we need to find the homogeneous solution, xh(t) by solving the auxiliary equation as:r²+33.64=0r = ±√(-33.64) = ±5.8jAs the roots are imaginary, the general solution for the homogeneous equation is:xh(t) = c1cos(5.8t) + c2sin(5.8t)where c1 and c2 are constants.

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To determine the new IS relation after a decrease in government spending to G = 220, we need to adjust the equation based on the changes in the components of the IS equation. The IS equation relates output (Y) to the interest rate (i). The given original IS equation is Y = 1,400.37 - 2,155.26i.

To incorporate the decrease in government spending, we substitute the new value of G = 220 into the equation. The new IS equation is: Y = 1,400.37 - 2,155.26i - (232 - 220) Simplifying the equation, we get: Y = 1,388.79 - 2,155.26i Using this new IS equation, we can calculate the new equilibrium values of output (Y), consumption (C), and investment (I). However, without further information on the components of consumption and investment, we cannot determine the exact values. Similarly, the real money supply (M/P) is not provided, so we cannot calculate its equilibrium value.

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Answer:

z=12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Move all terms not containing z to the right side of the equation.

z - 4 = 8

+4     +4

z = 12

Hope this helps ^^