Determine the x- and y-intercepts of the graph of x+2y=−4 . Then plot the intercepts to graph the equation.

Given:

Consider the equation is

\(\dfrac{h^{16}}{h^x}=\dfrac{1}{h^{24}}\)

To find:

The value of x.

Solution:

We have,

\(\dfrac{h^{-16}}{h^x}=\dfrac{1}{h^{24}}\)

Using properties of exponents, we get

\(h^{-16-x}=h^{-24}\)       \([\because \dfrac{a^m}{a^n}=a^{m-n},a^{-n}=\dfrac{1}{a^n}]\)

On comparing both sides, we get

\(-16-x=-24\)

Add 16 on both sides.

\(-x=-24+16\)

\(-x=-8\)

Multiply both sides by -1.

\(x=8\)

Therefore, the value of x is 8.

Option C is correct

.!!!!!!

Answer:

2.432926829 rounded to a significant figure

Step-by-step explanation:

798/(8*41)

798/328=399/164=2 71/164 or approx 2.432926829

Round to a "significant figure."

(I don't know what that's referring to. The nearest whole number is 2.)

Answer:

16.67

Step-by-step explanation:

Answer:

16.67

Step-by-step explanation:

70:420*100 =

(70*100):420 =

7000:420 = 16.67

Answer:

I believe it would be 21 units . dont let extra line's confuse you just pay attention to the letters its asking for

\(a(1) = 240 \\ a(2) = a(1) + d = 240 + 24 = 264 \\ a(3) = a(2) + d = 264 + 24 = 288 \\ a(4) = a(3) + d = 288 + 24 = 312 \\ a(5) = a(4) + d = 312 + 24 = 336 \\ a(6) = a(5) + d = 336 + 24 = 360\)

Answer:

umm  1/8

Step-by-step explanation:

Answer:

3 quarter of 15

Step-by-step explanation:

Answer:

0.001

Step-by-step explanation:

Answer:

\(\frac{1}{1000}\)

Step-by-step explanation:

\(10^{-3}\)

\(= \frac{1}{10^{3}}\)

\(= \frac{1}{1000}\)

To determine the angle from the vernal equinox to the station at the time of measurement, we need to use the following formula:

Angle = (Sidereal Time at Greenwich + Longitude of the Station - Hour Angle of the Object) * 15 degrees/hour

First, we need to determine the Hour Angle of the Object, which is the amount of time since the object (in this case, the radar measurement) passed over the Greenwich meridian. We know that the radar measurement occurred 2.8 hours after noon on January 1, so the Hour Angle of the Object is:

Hour Angle = 2.8 hours * 15 degrees/hour = 42 degrees

Next, we can plug in the values we know into the formula:

Angle = (100 degrees + (-4 degrees) - 42 degrees) * 15 degrees/hour
Angle = 54 degrees * 15 degrees/hour
Angle = 810 degrees/hour

Therefore, the angle from the vernal equinox to the station at the time of the radar measurement is 810 degrees/hour.

Learn more about vernal equinox here: brainly.com/question/30833797

#SPJ11

Answer:

The maximum a person can weigh to go on the ride safely is 100.5 kg

Step-by-step explanation:

The specification for the maximum weight of each person that goes on the ride = 100 kg

Therefore, given that the maximum possible error of a measurement is equal to 1/2 multiplied by the unit of measurement, we have that the specified maximum weight, \(W_{max}\), can be written as follows;

\(W_{max}\) = (100 ± 0.5) kg, which gives the maximum a person can weigh to go on the ride safely as 100 kg + 0.5 kg = 100.5 kg

1. The expected number of times the rolls will result in a sum greater than 9 is 24, so correct option is A. 2.  P(>4) = 0.32 3. the answer is 0.55 4. the answer is 0.55 5. 1,  6. P(not diamond) = 0.825. 7. 26.3%.

The underlying idea of probability is applied in many disciplines to estimate the possibility of an event. It is stated as a number between 0 and 1, with 0 denoting impossibility and 1 denoting certainty. For instance, there are two possible outcomes when flipping a fair coin, and one of them is heads, hence the chance of receiving heads is 0.5.

The probability of an occurrence is often estimated by dividing the total number of outcomes by the number of alternative ways the event could occur. The likelihood of selecting a red ball at random, for instance, is 4/10, or 0.4, if a bag includes 4 red balls and 6 blue balls.

Question 1:

The theoretical probability of both rolls equaling a sum greater than 9 is 6/36 or 1/6.

If the experiment is repeated 144 times, the expected number of times the rolls will result in a sum greater than 9 is:

(1/6) x 144 = 24

Therefore, the answer is 24.

Question 2:

The experimental probability of landing on a number greater than 4 is the sum of the frequencies of rolling a 5 or 6, divided by the total number of trials:

P(>4) = (9 + 7) / 50 = 0.32

Therefore, the answer is P(>4) = 0.32.

Question 3:

To find the probability of the spinner not landing on B, we can add up the frequencies of all outcomes that do not include B, and divide by the total number of trials:

P(not B) = (15 + 10 + 18 + 11 + 14) / 125 = 0.68

Since we want the probability of the spinner landing on something other than B, we subtract this from 1:

P(not landing on B) = 1 - P(B) = 1 - (15 + 17 + 13) / 125 = 1 - 0.45 = 0.55

Therefore, the answer is 0.55.

Question 4:

To find the probability of drawing 1 blue marble, we can add up the frequencies of outcomes that include one blue marble and one white marble, and divide by the total number of trials:

P(1 blue) = (22 + 33) / 100 = 0.55

Therefore, the answer is 0.55.

Question 5:

Since there are an equal number of yellow, blue, green, and red marbles, the probability of drawing a blue marble is 1/4.

If Ed draws 4 marbles with replacement, the number of blue marbles he can expect to draw is:

4 x 1/4 = 1

Therefore, the answer is 1.

Question 6:

The experimental probability of not selecting a diamond is the sum of the frequencies of selecting spades, hearts, and clubs, divided by the total number of draws:

P(not diamond) = (11 + 9 + 13) / 40 = 0.825

Therefore, the answer is P(not diamond) = 0.825.

Question 7:

The probability of flipping tails and then heads is the frequency of that outcome divided by the total number of trials:

P(tails, heads) = 63 / 240 = 0.2625

Therefore, the answer is P(tails, heads) = 0.2625, which is closest to 26.3%.

To know more about outcomes visit:

https://brainly.com/question/30919037

#SPJ1

The perimeter is  6x + 8 feet and the area is (2x^2 + 5x + 3) square feet

The perimeter of a rectangle is equal to the sum of the lengths of all four sides.

The length of the shed is 2x + 3 feet, and the width is x + 1 feet, so the perimeter of the shed is:

2 * (2x + 3) + 2 * (x + 1) = 4x + 6 + 2x + 2 = 6x + 8 feet

The area of a rectangle is equal to the product of its length and width.

So, the area of Shirley's shed is:

(2x + 3) * (x + 1) = (2x^2 + 5x + 3) square feet

Read more about perimeter at

https://brainly.com/question/17297081

#SPJ1

The correlation between variables x and y is 0.50 . The true option is option (c) .

that's the regression coefficient is positive for given bivariata.

Correlation: Correlation is a statistical measure of how linearly two variables are related (meaning they change together at a constant rate). The

sample correlation coefficient r quantifies the strength of the relationship.

Correlation Coefficient: The Correlation Coefficient formula is used to examine the strength of the relationship between data. The formula returns a value between -1 and 1.

Here:

Pearson's correlation coefficient is denoted by "r" and is

r = (n∑xy - ∑x∑y )/√( n ∑x² - (∑x )² ) ( √ n∑y² - (∑y)²)

We have given that correlation between x and y is 0.50.

cor(x,y) = √r^2 => √r^2 = 0.50 => r ^2 = (0.50)^2

=> r^2 = 0.25 > 0 but less than 0.50 ---( 1)

Regression coefficient is the constant "b" in the regression equation that gives the change in the value of the dependent variable equal to the unit change in the independent variable.

Symbolically it can be expressed as:

bₓᵧ= r σ ₓ /σ ᵧ

where x and y are correlated

σ ₓ --> standard deviation of X

σᵧ ---> standard deviation of y

We know that standard deviations is square root value of variance of observations. we also know square root any quantity is always positive or zero.

Using the above fact about standard deviations and correlation coefficient (r) is also positive we see that bₓᵧ is postive.

Hence, Regression cofficient is positive.

To learn more about Regression and Correlation, refer :

https://brainly.com/question/16814950

#SPJ4

Answer:

Step-by-step explanation:

Answer:1 1/12

Step-by-step explanation: 3/4+1/3=13/12=1 1/12

Answer:

£25

Step-by-step explanation:

100 - 15 = 85

53.55 ÷ 0.85 = 63

63 - 38 = 25

Answer: the intercept is love , the slope is you , dotted or solid is <3

Step-by-step explanation:

The equations that are true if x = 8 are:

B. x + 11.5 = 20.5

C. 23.42 - x = 15.42

D. 11x = 88

In equation B, x is equal to 8, so 8 + 11.5 = 20.5, which is a true statement. In equation C, x is also equal to 8, so 23.42 - 8 = 15.42, which is a true statement. In equation D, x is equal to 8, so 11*8 = 88, which is a true statement.

Equation A is not true because the expression 0^2/x is undefined, since division by zero is not allowed. Equation E is not true because 40 ÷ 8 is equal to 5, not 6.

Answer:

whats f

Step-by-step explanation:

Answer:

Given a triangle ABC, Pythagoras' Theorem shows that:

\(c^2=a^2+b^2\)

Thus,

\(c = \sqrt{a^2+b^2}\)

The distance formula, gives an equivalent expression based on two points at the end of the hypotenuse for a triangle.

\(d^2 = (x_{2} -x_{1})^2 + (y_{2} -y_{1})^2\)

\(d = \sqrt{(x_{2}-x_{1})^2 + (y_{2} -y_{1})^2 }\)

Therefore when given the hypotenuse with endpoints at

\((x_{1}, y_{1}) and {(x_{2}, y_{2})\)

We know that the third point of the right triangle will be at

\((x_{2}, y_{1})\)

and that the two side lengths will be defined by the absolute values of:

\((x_{2} - x_{1}) = a\)

\((y_{2} - y_{1}) = b\)

If a advertised sofa is $200 but the more costly sofa is $375, the average cost of such a sofa will be $200 is $243.75.

You're planning to purchase a sofa from a furniture store that is having a sale on them.

Let x represent the sofa's price.

Advertised sofa's cost = $200

Expensive sofa's cost = $375

The advertisers are aware that when customers arrive at the store, one out of three switch to an expensive sofa that the one shown in the sale advertisement.

Average cost = 375 x 1/4 + 200 x 3/4

E(x) = 375 x 1/4 + 200 x 3/4

E(x) = 93.75 + 150

E(x) = 243.75

Thus, if a advertised sofa is $200 but the more costly sofa is $375, the average cost of such a sofa will be $200 is $243.75.

To know more about the mean average , here

https://brainly.com/question/20118982

#SPJ4

Answer:

-25.6

Step-by-step explanation:

Hope this helped :>>>

The formula for the general nth term of the sequence is αₙ= -3-n.

The given sequence -4,-5,-6,-7,-8,··········· is an arithmetic sequence as all the terms differ by a number -1.

The nth term αₙ of any arithmetic sequence is given by αₙ= α+(n-1) d where α is the first term, d is a common difference and n is the number of terms.

Here, α= -4

         d=α₂-α₁

           = -5+4

           = -1

  ⇒αₙ= -4+(n-1)(-1)

  ⇒αₙ = -4-n+1

  ⇒αₙ  = -3-n

The correct answer is -3-n.

You can learn more about the Arithmetic Sequence here:

https://brainly.com/question/21374066

#SPJ4

Answer:

V=56.5

Step-by-step explanation:

Formula for finding volume of a cylinder is  V=pi r^2h, substitute h for the height and r for radius. V=pi 3^2 2

The temperature at which it was steady was 65°F.

We are given the graph of temperature in degree Fahrenheit on the y-axis against time on the x-axis.

Now, we see that the graph curve was increasingly accelerating up to a temperature of approximately 65°F.

Now, at the temperature of 65°F, the temperature remained steady for a time period of about 3 hours from 3pm to 6pm.

Thus, we conclude that the temperature at which it was steady was 65°F.

Read more about Linear function Graphs at; https://brainly.com/question/4025726

#SPJ1

Answer:

The y-intercept is 3

Gradient: 4

11-3= 8

2-0= 2

8/2= 4

Hope this helped!

Answer:

2x+3y=7 would be x=7/2-3y/2

4x-5y=25 would be x=25/4+5y/4

Does this help? if not let me know!:)

The answer is False.

What is Probability ?

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. Probability was introduced in mathematics to predict how likely events are to occur.

The meaning of probability is basically the extent to which something is likely to happen. This is a basic theory of probability that is also used in probability distributions, where you learn the possibilities of outcomes for a random experiment.

To find the probability of a single event occurring, we should first know the total number of possible outcomes.

We can use the central limit theorem to approximate the distribution of the sample mean as normal, with a mean of μ = 70 and a standard deviation of σ/√n = 10/√4 = 5. Therefore, we need to find the probability of obtaining a sample mean greater than 65:

Z = (x - μ) / (σ/√n) = (65 - 70) / (5/2) = -2

Using a standard normal distribution table or calculator, we can find that the probability of obtaining a Z-score of -2 or less is approximately 0.0228.

Therefore, the probability of obtaining a sample mean greater than 65 is 1 - 0.0228 = 0.9772, which is not equal to 0.8413. So the statement is false.

To learn more about Probability from the given link.

https://brainly.com/question/13604758

#SPJ4