If two expressions have the same factor and base , what happens to the exponents when the expressions are multiplied

The friend has to save for 5 and 2/3 of a month to in order to make up the remaining 85 to get the 125 headphone.

An inequality that consists of two or more parts is called a compound inequality. Either "or" or "and" may be used in these components. A number between 5 and 10 could be used as x in an inequality, for instance, if it states that "x is larger than 5 and less than 10". Any time one of the two inequalities is true when the two inequalities are united by the word or, the compound inequality is solved. The two separate solutions have been combined to form the final answer. Inequalities that are separated by "and" or "or" form a compound inequality. The intersection of the inequality graphs is shown by the graph of a compound inequality with a "and."

Cost of the headphone 125.

What the friend have: 40.

What need to save: 125-40 = 85

Let x = amount to be saved per month

Months to save up the 85 is 15

The equation would be 15 x = 85

Therefore x = 85/15

Which is 5 2/3 months.

To learn more about inequality ,visit:

https://brainly.com/question/28823603

#SPJ13

Answer:

just divide and add x and y

Step-by-step explanation:

Answer:

11 days

Step-by-step explanation:

2600 = 235x+15

-    1 5            - 15

2585           235x

/235             /235

11       = x

The truth value of an argument's premises cannot be determined solely by the fact that the argument has a false conclusion, as the premises could be true, false, or partly true and partly false.

If an argument has a false conclusion, it means that the conclusion is not true or accurate. However, the truth value of the argument's premises is not necessarily determined by the truth value of the conclusion. The premises could be true, false, or partly true and partly false.

A valid argument is one where the conclusion follows logically from the premises. This means that if the premises are true, then the conclusion must also be true. However, if the conclusion is false, it could mean that either one or more of the premises are false, or that there is a flaw in the logical reasoning process used to derive the conclusion from the premises.

Therefore, having a valid argument with a false conclusion does not necessarily tell us anything about the truth value of the argument's premises. Additional information is needed to determine whether the premises are true, false, or partly true and partly false. The validity of the argument only tells us that if the premises are true, then the conclusion must also be true, but it does not guarantee the truth value of the premises or the conclusion on their own.

To learn more about argument's premises please click on below link      

https://brainly.com/question/30711392

#SPJ4

Chad drinks  389.28  fluid ounces of water in 6 days.

A unit of weight equal to ¹/₁₂ troy pound see Weights and Measures Table. : a unit of weight equal to ¹/₁₆ avoirdupois pound. : a small amount. an ounce of sense.

An ounce (oz) is a unit of weight that is equal to one-sixteenth of a pound. Items that weigh approximately one ounce include a slice of bread and a pencil. A fluid ounce is a unit of liquid volume that is equal to one-eighth of a cup. A medicine cup has a volume of approximately one fluid ounce.

given that,

chad drinks 64.88 fluid ounces of water per day,

so in 6 days

he will drink = 6 x water drink per day

= 6 x 64.88

= 389.28

Learn more about ounces here :-

https://brainly.com/question/29374025

#SPJ4

6(8-2x)=4x

First, apply distributive property:

6 (8)+ 6 (-2x) = 4x

48-12x =4x

Move the "x" terms to the right:

48 = 4x+12x

Combine like terms

48 = 16 x

Divide both sides of the equation by 16:

48/16 = 16x/16

3 = x

x = 3

Answer:  the square of the length of the longest side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle.

Step-by-step explanation:

Answer:

this is how the Pythagorean theorem works a^2 + b^2 = c^2 I hope this helps have a great day bye!!! :D

Step-by-step explanation:

The bends on a track for car racing are semicircular, and the track is banked at an angle of 28.0° to the horizontal. Suppose the radius of the curvature of the bends is 120 m.

a) The formula to calculate the minimum velocity is given as follows:Vmin = √(rgtanθ)Where;Vmin is the minimum velocity needed to stay on the track;g is the acceleration due to gravity;r is the radius of the turn;θ is the angle of banking.r = 120 m, θ = 28.0°, and g = 9.8 m/s²Substitute the values into the formula, we get;Vmin = √(rgtanθ)=√(9.8 m/s² * 120 m * tan(28.0°))=40.6 m/sTherefore the minimum velocity the car should maintain is 40.6 m/sb) If the car speed is twice that in (a).

(i) The free-body diagram of the car is as shown below;

(ii) The value of the frictional force f is as follows;There are two forces acting on the car, namely; the normal force and the gravitational force. When the car moves at a constant speed around the bend, the centrifugal force Fc is also acting towards the center of the circular path. The centrifugal force Fc is given by the formula;Fc = mv²/rWhere;F c is the centrifugal force;m is the mass of the carv is the velocity of the car in m/sr is the radius of the curve.

Therefore;f = F s, max= μsNWhere;Fs, max is the maximum static frictional force that can be applied;N is the normal force acting on the car;μs is the coefficient of static friction.Because the car is not sliding, the maximum frictional force that can act is equal to the centripetal force, Fc.Thus;Fs, max = F c= 21,333.3 NThe frictional force f can now be determined as;f = Fs, max= μsN= 21,333.3 N= μsmgCosθwhere m is the mass of the car, and g is the acceleration due to gravity.

Substitute the values into the formula;μ s = f/mgCosθ= 21,333.3 N / 800 kg * 9.8 m/s² * Cos(28.0°) = 0.58Therefore the coefficient of static friction is 0.58.

To know more about bends visit:

https://brainly.com/question/32686061

#SPJ11

Answer:

x=100

Step-by-step explanation:

75=3/4x

4/3 × 75 = x

4 × 75 = 300

300/3= 100

100(3/4) = 75

x = 100

Answer:

x = 15.

Step-by-step explanation:

As the 2 adjacent angles are congruent:

x/20 = 12/16

x / 20 = 3/4

x = 60/4 = 15.

The equation of the circle centered at the origin and passing through the point (-4,0) is \(x^2+y^2=16\).

Equation of a circle

A circle may also be defined as a special kind of ellipse in which the two foci are coincident, the eccentricity is 0, and the semi-major and semi-minor axes are equal.

We know that,

Equation of the circle passing through the origin is given by:-

\(x^2+y^2=r^2\)

Where,

r is the radius of the circle, and

(x,y) are the coordinates of each point of the circle.

Hence, we can write,

The radius of the circle will be :-

\(\sqrt{(0-(-4))^2+(0-0)^2} =\sqrt{ 4^2+0^2} =\sqrt{16}=4 units\)

Hence, r = 4 units.

Hence, the equation of the circle is given by:-

\(x^2+y^2=16\)

To learn more about radius, here:-

https://brainly.com/question/15047456

#SPJ4

Hi!

So let's start with some variables.

w is width

L is length.

The length is 4 less than 5 times the width. Let's put that into an equation.

L = 5w - 4

The perimeter is 76.

The perimeter is L + L + w + w or

perimeter = 2L + 2w.

Which means that 1/2 of the perimeter = L + w.

We know the perimeter is 76, so half of 76 is 38.

38 = L + W.

Let's put length in terms of width and plug in the previous equation.

38 = 5w - 4 + w

Add the same variables

38 = 6w - 4

simplify

42 = 6w

w = 7

And plug that into the length equation that we had above to get

L = 35 - 4

L = 31

The correct answer is C: 7, 31

Answer:

1. C. 7, 31 cm

2. A. 43°, 137°

Step-by-step explanation:

1.

A. 14+14+66+66=160 (incorrect)

B. 7+7+27+27= 68 (incorrect)

C. 7+7+31+31= 76 (correct)

D. 7+7+39+39= 92 (incorrect)

For this question, they give you a red herring. Since it's a multiple choice question, you can just add their length and width and see if they add up to 76. Only C. 7, 31 cm dimensions add up to have a perimeter of 76.

2.

Supplementary angles add up to 180°

The formula is x° × 5 = y° × 2 - 59

A. 43° × 5 = 137° × 2 - 59 (correct)

B. 41° × 5 ≠ 139° × 2 - 59 (incorrect)

C. 39° × 5 ≠ 141° × 2 - 59 (incorrect)

D. 37° × 5 ≠ 143° × 2 - 59 (incorrect)

For this question, you can't add up the angle measurements because they all equal 180°. Since it's a multiple choice question, you can just try them and see which one fits. Only A. 43°, 137° has angles that fit our formula.

Answer:

17

Step-by-step explanation:

You would make the 10.01 a 10 and the 7.07 a 7.

Answer:

The y-intercept represent:

122,000 (1985) represents the starting population from when they began calculating the data.

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

20/(-25+x) -2(x-10)            x = 5

We substitute 5 in for x

20/(-25 + 5) - 2(5 - 10)

= 20/(-20) - 2(-5)

= -1 + 10

= 9

So, the answer is 9

Answer:

65 is x

Step-by-step explanation:

the equation is 2x+50=180 remember line measures 180 degrees that is why the equation also equal 180.

Answer:

x = 65

Step-by-step explanation:

The line is a 180 degree so 180- 50 = 130

130 / 2 = 65

2 x 65 = 130

X = 65

If we assume that the population of Little Elm continues to grow at the same rate as it did between 2010 and 2015, we can estimate how many residents the town will have in 2020.

To do this, we first need to calculate the average annual growth rate for Little Elm over that 5-year period. We can do this by using the following formula:

Annual growth rate = (Ending population / Beginning population)^(1/number of years) - 1

Plugging in the numbers we have, we get:

Annual growth rate = (17,150 / 3,646)^(1/5) - 1
Annual growth rate = 0.249

So, on average, Little Elm's population grew by 24.9% each year between 2010 and 2015.  

Now we can use this growth rate to estimate the population in 2020. Starting with the 2015 population of 17,150, we can calculate the expected growth each year:

2020 population = 17,150 * (1 + 0.249)^5
2020 population ≈ 83,983

Therefore, if the population of Little Elm continues to grow at the same rate as it did between 2010 and 2015, we can expect the town to have around 83,983 residents in 2020.
To Know more about average visit;
https://brainly.com/question/24057012

#SPJ11

Answer:

4/8

Step-by-step explanation:

Dividing a whole cantaloupe into eighths will give you 8/8 or 1. When it is cut in half then divided there is one half of 8/8 or there are 4/8 in one half. This is true because 1/2 and 4/8 are equal terms.

Hope this helps!

The more plausible explanation for the association between diet soda consumption and weight gain is that people who drink diet soda may have other factors or behaviors that contribute to weight gain.

For example, individuals who drink more diet soda may have a higher intake of calorie-dense foods or may engage in less physical activity.

Additionally, people who are already overweight or at risk of gaining weight.

May be more likely to choose diet soda as a way to manage their weight.

While the large sample size may provide strong statistical evidence of the association between diet soda consumption and weight gain.

It does not necessarily prove a causal relationship.

Further research is needed to establish a cause-and-effect relationship between diet soda consumption and weight gain.

Such as randomized controlled trials or longitudinal studies.

Learn more about diet soda here

brainly.com/question/30698193

#SPJ4

Answer:

1,028 miles

Step-by-step explanation:

multiply 514 by 2

Answer:

1028

Step-by-step explanation:

You just times 514 by two, because if it took 514 hours and every hour he goes 2 miles he would have went 1028 miles.  :)

Answer:

blank 1: 24

Step-by-step explanation:

According to Pythagoras' Theorem, in a right-angled triangle,

(side 1)² +(side 2)²= (hypotenuse)²

Applying Pythagoras' Theorem,

x² +18²= 30²

x² +324= 900

x²= 900 -324 (-324 on both sides)

x²= 576

\(x = \sqrt{576} \)

x= 24 ft

Answer:

1 foot

Step-by-step explanation:

1 yard = 3 ft

\(2*1 yard= 2*3feet\)

2 yards = 6 feet

\(\frac{1}{6}\) (2 yards) = \(\frac{1}{6}\) (6 feet)

So, \(\frac{1}{6}\) of 2 yards is 1 foot.

The positive number x that minimizes the sum S(x) = 1/x + 4x^2 is x = 1/2. The appropriate values for x are in the open interval (0, +∞). The second derivative test confirms it as a global minimum.



a. To find the formula for S(x), we need to express the sum of the reciprocal of x and four times the square of x. Let's denote x as a positive number. The reciprocal of x is 1/x, and four times the square of x is 4x^2. Therefore, the formula for S(x) is:S(x) = 1/x + 4x^2

b. The appropriate values for x in this problem should be positive numbers, as stated in the problem. The interval representing the set of appropriate values for x is (0, +∞), where the parentheses indicate that 0 is excluded from the interval.

c. To find the value of x that minimizes S(x) on the domain (0, +∞), we need to find the critical points of S(x). Taking the derivative of S(x) with respect to x and setting it equal to zero, we have:S'(x) = -1/x^2 + 8x = 0

Multiplying through by x^2, we get:-1 + 8x^3 = 0

Simplifying further, we find:8x^3 = 1

x^3 = 1/8

Taking the cube root of both sides, we find:x = 1/2

To verify that this is a global minimum, we can use the second derivative test. Taking the second derivative of S(x) with respect to x, we have:

S''(x) = 2/x^3 + 24

Substituting x = 1/2 into S''(x), we get:S''(1/2) = 2/(1/2)^3 + 24 = 16 + 24 = 40

Since the second derivative is positive, S(x) achieves a global minimum at x = 1/2.

To learn more about interval click here

brainly.com/question/29179332

#SPJ11

To find the equivalent ratios, we must simplify the fractions when it is possible:

Therefore, the equivalent ratios are 4:7, 16:28 and 20:35

Answer:

870

Step-by-step explanation:

70

The given statement "The assumption for normality usually holds in any distribution so long as precise calculations of z statistics are made" is False because these tests do not rely on the normality assumption and can provide more accurate results when working with non-normal distributions.

Normality refers to a distribution that follows a normal or Gaussian distribution, characterized by a bell-shaped curve that is symmetric around the mean. The assumption of normality is an important aspect of many statistical tests, such as the t-test or ANOVA, which rely on the data being normally distributed to draw accurate conclusions.

Precise calculations of z statistics, which standardize individual data points based on the mean and standard deviation, do not guarantee that the assumption of normality holds. While these calculations can help compare and analyze data from different distributions, they do not transform a non-normal distribution into a normal one.

If the assumption of normality does not hold, alternative non-parametric tests, such as the Mann-Whitney U test or the Kruskal-Wallis test, should be used to analyze the data.

Know more about Normality here:

https://brainly.com/question/14005451

#SPJ11