Find the Two Values that x can have if X^2 -10=26​

Equivalent expressions are expressions that have the same value.

The equivalent expression of \(g^{-3}h\) is: \(\frac{h}{g^3}\)

The expression is given as;

\(g^{-3}h\)

Apply law of indices to change the exponents

\(g^{-3}h = \frac{1}{g^3}h\)

Express as products

\(g^{-3}h = \frac{1}{g^3} \times h\)

Rewrite as

\(g^{-3}h = \frac{h}{g^3}\)

Hence, the equivalent expression is: \(\frac{h}{g^3}\)

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The plant's height after 34 months will be 89cm if the plant is already 55 centimeters tall.

Height is defined in mathematics as the vertical distance from the object's top to its base. It is occasionally referred to as 'altitude.' The term height in geometry refers to the measurement of an object along the y-axis in coordinate geometry.

Height and elevation all refer to the vertical distance between the top and bottom of something or between a base and anything above it. Height refers to something measured vertically, whether it be high or low.

Given, the relation between the height and the months is:

H(m)=55+m

Now, we have to find the height of the plant after 34 months.

So, we substitute m=34 in the expression to obtain height,

H(m)=55+m

H(34)=55+34

H(34)=89cm

Hence the height will be 89cm

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Answer:

The amount she saves is 25% of her income

Step-by-step explanation:

She is paid $11 per hour

She works 9 hours per day

and for 24 days per month

So, she works 9(24) hours per month

= 216 hours per month

Now, she is paid $11 hourly, so for 216 hours,

she will have 11(216) = $2376

Total income = $2376 per month

Saving = $594 per month

As a percentage, we divide the savings by the total income,

savings/(total income) = 594/2376 = 1/4 = 0.25

Hence we get 25%

Answer:

25% percent

Step-by-step explanation:

Answer:

b. is the answer any other than the way

Step-by-step explanation:

4×2=8

4/2×3.54=7

:.8+7=15

Answer:

24 times

Step-by-step explanation:

75% = 0.75, so then you just do 0.75 * 32 = 24

Answer:

For this question, multiply 75% or 0.75 with 32. The result would be 24. So, Augie has hit the baseball 24 times.

Answer: The answer is valid, because you survey 100 people and 80 of them support building a new stadium.

Step-by-step explanation:

80% agree. 80/100 = 80%

Answer:

6 pages

Step-by-step explanation:

3/7 * 12 = 36/7 = 6

The expression that represents the statements are

1. R = 114+P

2. M = 10+2B

3. H = 1/2M -29

Linear expressions are those statements that each term is either a constant or a variable raised to the first power.

In linear expressions, the highest power of the variable is 1.

In the first statement 'Rhona got 114 more votes Tham Petro'. Let's represent the votes for Rhona by R and for Pedro by P

therefore R = 114+ P

In the second statement 'Matt took 10 minutes longer than twice as long as Bryce took to do his assignment'

Let's represent the time it took Matt to do his assignment' by M and time it took Bryce by B.

then,

M = 10+2B

In the third statement 'A hamburger costs 29 cents less than half as much as a full meal'.

Let's represent the cost of hamburger by H and the cost of full meal' by M, then,

H = 1/2M -29

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The area of the part of the plane given by the vector equation is 7√2.

To find the area of the part of the plane given by the vector equation r(u, v) = <3 + v, u - 3v, 1 - 4u + v>, where 0 ≤ u ≤ 1 and 0 ≤ v ≤ 1, we can use the concept of a surface integral.

The area of the surface is given by the surface integral:

Area = ∬ D ||∂r/∂u × ∂r/∂v|| du dv

where D is the region in the uv-plane corresponding to the given limits of u and v.

First, let's calculate the partial derivatives of r(u, v) with respect to u and v:

∂r/∂u = <0, 1, -4>

∂r/∂v = <1, -3, 1>

Next, we calculate their cross product:

∂r/∂u × ∂r/∂v = <1, -4, -9>

Now, calculate the magnitude of the cross product:

||∂r/∂u × ∂r/∂v|| = √(1² + (-4)² + (-9)²) = √(1 + 16 + 81) = √98 = 7√2

Finally, we integrate over the region D:

Area = ∫∫ D ||∂r/∂u × ∂r/∂v|| du dv

= ∫[0,1] ∫[0,1] 7√2 du dv

Integrating with respect to u first:

Area = ∫[0,1] (7√2) u=0 to 1 dv

= 7√2 ∫[0,1] dv

= 7√2 (v) evaluated from 0 to 1

= 7√2 (1 - 0)

= 7√2

Therefore, the area of the part of the plane given by the vector equation is 7√2.

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Incomplete question:

Find the area of the part of the plane with vector equation r(u, v) = < 3 + v, u − 3v, 1 − 4u + v > that is given by 0 ≤ u ≤ 1, 0 ≤ v ≤ 1.

If company has 2855 units in stock, then the probability of stockout is (b) 2.442%.

To calculate the probability of a stockout, we use the concept of the normal distribution. The historical demand average of 1447 units per week and a standard-deviation of 715 units, we assume that the demand follows a normal distribution.

To find the probability of a stockout, we determine how likely it is for the demand to exceed the current stock level of 2855 units.

First, we calculate the z-score, which measures the number of standard deviations the current stock level is away from the mean:

z = (2855 - 1447)/715 = 1.9818

Now, we find the probability of a stockout by calculating the area under the normal distribution curve to the right of this z-score.

This represents the probability of the demand exceeding the current stock level.

We know that probability corresponding to a z-score of 1.9818 is approximately 0.02442.

Therefore, the correct option is (b).

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To estimate the number of new users that would be added during time period 7, we can use the Bass diffusion model, which is commonly used to model the adoption of new products or technologies.

The Bass diffusion model is given by the formula:

\(\[N(t) = \frac{{p \cdot q}}{{q + (p/q) \cdot e^{-((p+q) \cdot t)}}}\]\)

where:

- N(t) represents the cumulative number of adopters at time \(t\).

- p is the innovation parameter, representing the coefficient of innovation.

- q is the imitation parameter, representing the coefficient of imitation.

- e is the base of the natural logarithm.

Given a population size of 67 million, an innovation parameter of 0.005, and an imitation parameter of 0.84 for Color TV, we can substitute these values into the Bass diffusion model and calculate the number of new users added during time period 7.

\(\[N(7) - N(6) = \frac{{p \cdot q}}{{q + (p/q) \cdot e^{-((p+q) \cdot 7)}}} - \frac{{p \cdot q}}{{q + (p/q) \cdot e^{-((p+q) \cdot 6)}}}\]\)

Substituting the given values into the equation:

\(\[N(7) - N(6) = \frac{{0.005 \cdot 0.84}}{{0.84 + (0.005/0.84) \cdot e^{-((0.005+0.84) \cdot 7)}}} - \frac{{0.005 \cdot 0.84}}{{0.84 + (0.005/0.84) \cdot e^{-((0.005+0.84) \cdot 6)}}}\]\)

Evaluating the expression will give us the estimated number of new users added during time period 7.

In LaTeX, the solution can be represented as:

\(\[N(7) - N(6) = \frac{{0.005 \cdot 0.84}}{{0.84 + (0.005/0.84) \cdot e^{-((0.005+0.84) \cdot 7)}}} - \frac{{0.005 \cdot 0.84}}{{0.84 + (0.005/0.84) \cdot e^{-((0.005+0.84) \cdot 6)}}}\]\)

After evaluating this expression, you will obtain the estimated number of new users added during time period 7.

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Answer:

Step-by-step explanation:

If the side lengths are all different, none.

__

The following 7 combinations will form triangles:

  (5, 5, 5), (5, 5, 7), (5, 7, 7), (5, 15, 15)

  (7, 7, 7), (7, 15, 15)

  (15, 15, 15)

_____

Additional comment

The triangle inequality requires the sum of the two shortest lengths exceed the longest. Here, we have 5+7=12<15, so a triangle with all three lengths cannot be formed. We also note that 5+5=10<15, and 7+7=14<15, so isosceles triangles with only one side equal to 15 cannot be formed, either.

Answer:

none

Step-by-step explanation:

To transform the regression equation, you would divide both sides of the equation by the square root of Var(ut), which is σ√(zt). This transformation helps in obtaining the transformed regression coefficients and standard errors that account for the heteroscedasticity in the error term.

When the variance of the error term (ut) is related to a known variable (zt), it implies the presence of heteroscedasticity in the regression model. Heteroscedasticity means that the variability of the error term is not constant across different levels of the independent variables.

To address this issue, we can transform the regression equation by dividing both sides by the square root of the variance of the error term, which is σ√(zt). This transformation is known as the weighted least squares (WLS) estimation.

By dividing both sides of the equation, we can obtain the transformed regression equation with the error term divided by its standard deviation. This transformation accounts for the heteroscedasticity by giving different weights to the observations based on the variability of the error term. It allows for a more appropriate estimation of the regression coefficients and standard errors, as it gives more weight to observations with smaller error variances and less weight to observations with larger error variances.

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Answer:

There are \(2.6\times 10^{4}\) spectators in the soccer stadium.

Step-by-step explanation:

From this statement, we can calculate the number of spectators in a soccer stadium by dividing the amount of bacteria among the spectators in a soccer stadium by the amount of bacteria in the human body. That is:

\(x = \frac{2.6\times 10^{18}\,bacteria}{1\times 10^{14}\,bacteria}\)

\(x = \frac{2.6}{1}\times \frac{10^{18}}{10^{14}}\)

\(x = 2.6\times 10^{18-14}\)

\(x = 2.6\times 10^{4}\)

There are \(2.6\times 10^{4}\) spectators in the soccer stadium.

Answer:

b. $5.80

c. 131.544

Step-by-step explanation:

To find b, first divide 1 7/20 into 78 3/10

\(78 \frac{3}{10} \div 1 \frac{7}{20} \)

\( \frac{783}{10} \times \frac{27}{20} \)

\( \frac{783}{10} \times \frac{20}{27} = \frac{15660}{270} \)

\( = 58\)

A dime is worth 10 cents so .58x10=$5.80.

c. Multiply the mass by 58.

\(2.268 \times 58 = 131.544\)

Answer:

The only common factor would be 1 only.

Step-by-step explanation:

If you don't believe me, then you might as well calculate yourself or find the gcf or lcm

Answer:

D. 24.9

Step-by-step explanation:

95/382 converted to a percentage is 24.9

Answer:

= − 6 4

Step-by-step explanation:

Answer:

24/25

Step-by-step explanation:

sin 2 θ = 3÷25/8 =24/25

from web2calc

Answer:

24/25

Step-by-step explanation:

P(u, v) = (3, 4) describes a triangle:  One vertex is at the origin (0, 0) and the other at (3, 4).  According to the Pythagorean Theorem, 3^2 + 4^2 = 5^2, so we know the hypotenuse length is 5 units.

Recall that the sine function is defined as opp/hyp, which here is 4/5, and that the cosine function as adj/hyp, which here is 3/5.  

Finally, we'll apply the double angle formula sin 2x = 2 sinx cos x.

Substituting the values found above,              sin 2x = 2(4/5)(3/5) = 24/25.

The sine of 2x (where x is the smaller acute angle whose vertex is (0, 0) ) is 24/25.

There are no local maximum or local minimum for this function. In summary, the function f(x) = -4.1 + 6x + 5 is increasing everywhere, and there are no local maximum or local minimum.

To find the intervals in which the function f(x) = -4.1 + 6x + 5 is increasing or decreasing, we need to take the derivative of the function.

The derivative of f(x) is simply 6, which is a constant. Since the derivative is positive, it means that the function is increasing everywhere. Therefore, there are no intervals in which the function is decreasing.

To find the local maximum and local minimum, we need to check the critical points. A critical point is a point where the derivative is equal to zero or undefined. In this case, there are no critical points since the derivative is a constant.

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Step-by-step explanation:

Answer attached.

Hope it helps :)

The correct option C 0.28; for the probability that at least 2 thumbtacks land pointing up when 5 thumbtacks are tossed.

This problem involves a binomial probability distribution.

Now that five thumbtacks have been thrown, we want to determine the likelihood that at least two of them will land pointing up. As it is written;

P(X ≥ 2) = P(2) + P(3) + P(4) + P(5)

Based on the histogram

P(5) = 0.02

P(4) = 0.02

P(3) = 0.05

P(2) = 0.19

So,

P(X ≥ 2) = 0.19 + 0.05 + 0.02 + 0.02

P(X ≥ 2) = 0.28

Thus, the probability that at least 2 thumbtacks land pointing up when 5 thumbtacks are tossed is 0.28.

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A thumbtack that is tossed can land point up or point down. The probability of a tack landing point up is 0.2. A simulation was conducted in which a trial consisted of tossing 5 thumbtacks and recording the number of thumbtacks that land point up. Many trials of the simulation were conducted and the results are shown in the histogram.

Based on the results of the simulation, which of the following is closest to the probability that at least 2 thumbtacks land pointing up when 5 thumbtacks are tossed?

A 0.09

B 0.19

C 0.28

D 0.72

E 0.91

Answer:

$1200

Step-by-step explanation:

The clustering method for estimation is a method used for estimating the sums and products of numbers. This method is used when the numbers that are to be multiplied or added are near in value to a single number.

Given the money raised by six fund raisers:

$212, $205, $206, $190, $188, and $195

The numbers are to be added to find the total money raised. i.e.:

$212 + $205 + $206 + $190 + $188 + $195

But all the numbers are close to $200. Hence:

Using clustering method = $200 + $200 + $200 + $200 + $200 + $200 = 6 * $200 = $1200

Answer: The answer is 3ab + 2a + 3b.

Step-by-step explanation:

So we are given this equation:

2ab - ab + 2a + 3b + 2ab

First we have to add like terms:

2ab + 2ab - ab + 2a + 3b

4ab - ab + 2a + 3b

3ab + 2a + 3b

Here is your answer!