Please help!.im trying to get my missing work done quickly.

Create an inequality and solve:

In triangle def, if m∠d is (2x)°, m∠e is (3x − 2)°, and m∠f is (x + 8)°, then the value of x is 29.

A triangle is a three-sided polygon that consists of three edges and three vertices.

Triangle is DEF

if m∠d is (2x)°, m∠e is (3x − 2)°, and m∠f is (x 8)°

We need to find the value of x.

We know that the sum of three angles of triangle is 180 degrees

m∠d + m∠e + m∠f=180°

2x+3x-2+x+8= 180°

6x+6=180

Subtract 6 on both sides

6x=174

Divide by 6 on both sides.

x=174/6

x=29

Hence, the value of x is 29.

To learn more on Triangles click:

https://brainly.com/question/2773823

#SPJ1

There are volume of 6 teaspoons in one fluid ounce,

Teaspoons and ounces are both units of volume, but they measure different amounts. An ounce is a larger unit of volume than a teaspoon, so there are fewer ounces in a given volume compared to teaspoons.

To calculate how many teaspoons are in an ounce, we need to know the conversion factor between the two units. One fluid ounce (fl oz) is equal to 6 teaspoons (tsp). This means that if we have a given volume in ounces, we can multiply it by 6 to convert it to teaspoons.

Mathematically, we can express the conversion between ounces and teaspoons as follows:

1 fl oz = 6 tsp

Therefore, to convert a volume of x fluid ounces to teaspoons, we can use the formula:

Number of teaspoons = x fluid ounces * 6

For example, if we have a volume of 2 fluid ounces, we can calculate how many teaspoons it is equal to as follows:

Number of teaspoons = 2 fl oz * 6 = 12 tsp

So, 2 fluid ounces is equal to 12 teaspoons.

In summary, there are volume of 6 teaspoons in one fluid ounce, and to convert from ounces to teaspoons, we can multiply the number of ounces by 6.

To know more about volume:

https://brainly.com/question/25928464

#SPJ4

Answer:

There are 2 solutions to square root x = 9

They are 3, and -3

Step-by-step explanation:

The square root of x=9 has 2 solutions,

The square root means, for a given number, (in our case 9) what number times itself equals the given number,

Or, squaring (i.e multiplying with itself) what number would give the given number,

so, we have to find the solutions to \(\sqrt{9}\)

since we know that,

\((3)(3) = 9\\and,\\(-3)(-3) = 9\)

hence if we square either 3 or -3, we get 9

Hence the solutions are 3, and -3

The probability that the person has health insurance given that they seek treatment is 0.851, or approximately 85.1%.

We can use Bayes' theorem to solve this problem. Let's define the events as follows:

H: the person has health insurance

T: the person seeks treatment

We are given:

P(H) = 0.70 (70% have health insurance)

P(T|H) = 0.97 (of those with health insurance, 97% seek treatment)

P(not T|not H) = 0.60 (of those without health insurance, 60% do not seek treatment)

We want to find P(H|T), the probability that the person has health insurance given that they seek treatment.

By Bayes' theorem:

P(H|T) = P(T|H) * P(H) / P(T)

To find P(T), we need to use the law of total probability:

P(T) = P(T|H) * P(H) + P(T|not H) * P(not H)

We are not given P(T|not H) directly, but we can find it using the complement rule:

P(T|not H) = 1 - P(not T|not H) = 1 - 0.60 = 0.40

Now we can substitute into the formula for P(T) and then into Bayes' theorem:

P(T) = P(T|H) * P(H) + P(T|not H) * P(not H) = 0.97 * 0.70 + 0.40 * 0.30 = 0.799

P(H|T) = P(T|H) * P(H) / P(T) = 0.97 * 0.70 / 0.799 = 0.851

Therefore, the probability that the person has health insurance given that they seek treatment is 0.851, or approximately 85.1%.

To learn more about treatment visit:

https://brainly.com/question/3186782

#SPJ11

Z = 1.555 should be used

If we seek an 88% confidence interval, that means we only want a 12% chance that our interval does not contain the true value.

Assuming a two-sided test, that means we want a 6% chance attributed to each tail of the Z-distribution.

the zα/2 value of z0.06.

This z value at α/2=0.06 is the coordinate of the Z-curve that has 6% of the distribution's area to its right, and thus 94% of the area to its left. We find this z-value by reverse-lookup in a z-table.

The standard normal distribution, also called the z-distribution, is a special normal distribution where the mean is 0 and the standard deviation is 1.

Any normal distribution can be standardized by converting its values into z-scores. Z-scores tell you how many standard deviations from the mean each value lies.

The standard score (more commonly referred to as a z-score) is a very useful statistic because it

(a) allows us to calculate the probability of a score occurring within our normal distribution and

(b) enables us to compare two scores that are from different normal distributions.

To learn more about Z-distribution from the given link

https://brainly.com/question/17039068

#SPJ4

Answer:

i am not loved. you do not love me. you dont know me. i am a burden. i do not make the world better. i make it worse. everyone hates me. i will die now.

Step-by-step explanation:

The value of the given expression is 1/10a+4/5.

3/4a+1/2-1/5a+3/10-7/10a

Segregating the variable terms and contant terms,

3/4a-1/5a-7/10a + 1/2+3/10

Doing the sum of variable and constant terms separately,

3/4a-1/5a-7/10a

Now, the denominators are - 4, 5 and 10

The LCM of 4, 5 and 10 is 20.

Getting the denominator as 20 in all three terms,

15/20a-4/20a-14/20a

= (15-4-14)/20a

=1/10a

Again, doing the sum of constant terms,

1/2+3/10

LCM of the denominators 2 and 10 = 10

Getting 10 as the denominator in both terms,

5/10+3/10

= (5+3)/10

= 8/10

= 4/5

Adding the final constant and variable terms,

1/10a+4/5

Hence, the value of the given expression is 1/10a+4/5.

For more information on algebraic expressions,

https://brainly.com/question/4344214

The formula for the given sequence is 1/(1x2)+1/(2x3)+1/(3x4)+...+1/(n(n+1)) = (n+1) [1/1! + (-1)^(n)/(n+1)!]

To find a formula for the given sequence, we can use the method of partial fractions. First, we can write each term as a fraction with a common denominator of (n+1):

1/(1x2) = (n+1)/(n+1)x1x2 = (n+1)/2!x(n+1)
1/(2x3) = (n+1)/(n+1)x2x3 = (n+1)/3!x(n+1)
1/(3x4) = (n+1)/(n+1)x3x4 = (n+1)/4!x(n+1)
...
1/(n(n+1)) = (n+1)/(n+1)xn(n+1) = (n+1)/(n+1)!x(n+1)

Then, we can add all the terms together:

1/(1x2)+1/(2x3)+1/(3x4)+...+1/(n(n+1)) = [(n+1)/2!x(n+1)] + [(n+1)/3!x(n+1)] + [(n+1)/4!x(n+1)] + ... + [(n+1)/(n+1)!x(n+1)]
= (n+1) [1/2! + 1/3! + 1/4! + ... + 1/(n+1)!]
= (n+1) [1/1! - 1/2! + 1/2! - 1/3! + 1/3! - ... + (-1)^(n)/(n+1)!]
= (n+1) [1/1! + (-1/2! + 1/2!) + (-1/3! + 1/3!) + ... + (-1)^(n)/(n+1)!]

We can simplify the terms in the brackets by noticing that every pair of adjacent terms cancels out, leaving only the first and last terms:

= (n+1) [1/1! + (-1)^(n)/(n+1)!]

Thus, the formula for the given sequence is:

1/(1x2)+1/(2x3)+1/(3x4)+...+1/(n(n+1)) = (n+1) [1/1! + (-1)^(n)/(n+1)!]

Learn more about sequence

brainly.com/question/30262438

#SPJ11

Answer:

28 hrs

Step-by-step explanation:

in 8 hrs she earns $320,

so in 1 hr she earns $320/8=$40

no. of hrs she takes to earn $1120 is,

=1120/40= 28 hrs

Annie would need to work 28 hours to earn $1,120 at the same rate.

To determine how long Annie would have to work to earn $1,120 at the same rate, we can set up a proportion based on the given information.

Let's define:

x = the number of hours Annie needs to work to earn $1,120.

According to the information given, Annie earns $320 for 8 hours of work. This can be expressed as the rate: $320/8 hours.

We can set up the proportion as follows:

320/8 = 1120/x

To solve this proportion, we can cross-multiply and then solve for x:

320x = 8 * 1120

320x = 8960

Dividing both sides of the equation by 320:

x = 8960/320

x = 28

Therefore, Annie would need to work 28 hours to earn $1,120 at the same rate.

To know more about earn here

https://brainly.com/question/30157678

#SPJ2

Sofia has 17 nickels and 8 dimes in her pocket, for a total of $1.65.

To solve this problem, let's assign variables to represent the number of nickels and dimes Sofia has. Let's say N represents the number of nickels and D represents the number of dimes.
From the problem, we know that Sofia has a total of 25 coins. Therefore, we can write the equation: N + D = 25.
We also know that the total value of all the coins is $1.65. Since a nickel is worth $0.05 and a dime is worth $0.10, we can write the equation: 0.05N + 0.10D = 1.65.
To solve this system of equations, we can use substitution or elimination. Let's use substitution. We can solve the first equation for N: N = 25 - D.
Now, substitute the value of N in the second equation: 0.05(25 - D) + 0.10D = 1.65.
Simplify the equation: 1.25 - 0.05D + 0.10D = 1.65.
Combine like terms: 0.05D = 1.65 - 1.25.
Simplify the right side: 0.05D = 0.40.
Divide both sides by 0.05: D = 0.40 / 0.05.
D = 8.
Now, substitute the value of D back into the first equation to find N: N + 8 = 25.
Simplify the equation: N = 25 - 8.
N = 17.
Therefore, Sofia has 17 nickels and 8 dimes.

For more such questions on total

https://brainly.com/question/30130621

#SPJ8

Answer:

4/25

Step-by-step explanation:

This fraction to the power of 2 is the same as powering a normal number, so what you are going to do first is do each number Alone so 2 to the power of 3 is 4 and 5 to the power of 2 is 25 then just put it back to fraction 4/25

Hope this helpsssd

Answer:

4,3

Step-by-step explanation:

i think im sure

1) It will take 40 minutes to fill the same tank with 2 pumps

2) the product of the means equals the product of the extremes".

3) Tes is 56 years old, given that the ratio of their ages is 3:7

4) 10 the value of N in the expression

5) 150 is the bigger number if the sum of the numbers is 240, and the ratio is 3:5

1) time × speed = time × speed

= 16 × 5 = x × 2

= \(\frac{16*5}{2}\) = x

x = 80\2

x = 40 minutes

2) product

ab=cd. the product of the means equals the product of the extremes. That is, ad=bc. We can get an equivalent result using a technique called cross multiplication.

3) let the age of ed be x, then age of tes is 80 - x

\(\frac{x}{80-x}\) = \(\frac{3}{7}\)

7x = 3(80-x)

7x =  240 - 3x

7x + 3x = 240

10x = 240

x = 24

Ed's age is 24 therefore Tes age is 80 - x

80 - 24 = 56

therefore tes age is 56

4) 2\7 = N\35

2 × 35\ 7 = N

70\7 = N

N = 10

5) Let the multiple of the ratio be x

3x + 5x = 240

8x = 240

x = 30

we need to find the bigger number therefore,

5x = 5 × 30 = 150

To learn more about direct proportion, click here:

brainly.com/question/28730073

#SPJ4

The solution to the inequality expression is x > 11

Given the inequality expression

-12(-12+x)<12

Expand

144 - 12x < 12

Subtract 144 from both sides

-12x < 12 - 144

-12x < -132

Divide both sides by -12

-12x/-12 > -132/-12

x > 11

Hence the solution to the inequality expression is x > 11

Learn more on inequality here: https://brainly.com/question/24372553

Answer:

y = 2/3x

Step-by-step explanation:

*

Step-by-step explanation:

Area: bh

The shape is a square in which the side lengths are the same, so we multiply the number squared.

A = 6.25(6.25)

A = 39.06

Volume: lwh

6.25^3 = V

V = 244.14

Hope this helps:)

Step-by-step explanation:

Area: bh

The shape is a square in which the side lengths are the same, so we multiply the number squared.

A = 6.25(6.25)

A = 39.06

Volume: lwh

6.25^3 = V

V = 244.14

I hope I contributed

Answer:

If a line is parallel with Another...

They will have the same Gradient or equal Gradient (m)

So for two parallel lines

m=m'

So the gradient of the second or other line would be Same

Now

y= -3x + 10

comparing with

y= mx + c

m = -3

So the other line would have the same gradient.

from the options provided in the comment section...

y= -3x + 12

Is your Most probable answer cos it has the same gradient

Check the picture below.

\(\cos(47^o )=\cfrac{\stackrel{adjacent}{x}}{\underset{hypotenuse}{19}}\implies 19\cos(47^o)=x\implies 12.96\approx x\)

Make sure your calculator is in Degree mode.

No, X or y-axis scale does not have to always start at zero. In a line chart, it's OK to start the axis at a number other than zero

A line that is used to take or mark measurements is known as an axis in mathematics. Two crucial axes of the coordinate plane are the x and y axes. A horizontal number line is the x-axis, while a vertical number line is the y-axis. The coordinate plane is created by the perpendicular intersection of these two axes.

Given,

No, X or y-axis scale does not have to always start at zero.

A line chart encodes data using location (x, y coordinates), whereas a bar chart represents data using length. In a line chart, it's OK to start the axis at a number other than zero despite many claims that they are always misleading since this minute difference influences how a reader utilizes the chart.

To learn more about axis, visit:

https://brainly.com/question/1699227

#SPJ4

Answer:

How many balls have “R” written on them initially? We can see this is 2.

How many balls are there initially? This is 9.

As a result, the probability of initially drawing a ball with an R on it is 2/9, as out of the 9 possible draws we could make, 2 of them result in a ball with R on it.

How many balls have “R” written on them now? We can see this is 1, since we just drew one ball with R on it and didn’t replace.

How many balls are there in total right now? This is 8, because we took away one.

As a result, the probability of drawing a ball with an R on it after having already done so is 1/8, as out of the 8 possible draws we could make, 1 results in a ball with R on it.

We then multiply these two values (2/9)*(1/8) = 2/72, which is our probability.

Another way to think about this is that there are 72 possible combinations of balls that we could draw, counting each ball uniquely. This is because of our denominator, since 8*9=72. Out of those 72 outcomes that could possibly happen, 2 outcomes will result in both balls being written with R.

Step-by-step explanation:

the vertical asymptοtes οf the functiοn are given by: x = 3 and x = -3.

Asymptοtes are lines that a curve apprοaches but dοes nοt intersect as it extends infinitely in οne οr mοre directiοns. They can be vertical, hοrizοntal, οr οblique.

Vertical asymptοtes οccur when the denοminatοr οf a ratiοnal functiοn is equal tο zerο and the numeratοr is nοt equal tο zerο. This creates a pοint οf discοntinuity in the functiοn, where the functiοn apprοaches infinity οr negative infinity as it apprοaches the vertical line.

The functiοn y = 5tan(0.1x) has vertical asymptοtes whenever the tangent functiοn is undefined, which οccurs at οdd multiples οf π/2.

the vertical asymptοtes οf y = 5tan(0.1x) are given by:

x = (2n+1)π/2*10, where n is an integer.

Fοr Explοratiοn 4.3.3, Questiοn 2, the given functiοn is:

\(y = (x^2 - 5x + 6)/(x^2 - 9)\)

Tο find the vertical asymptοtes οf this functiοn, we need tο determine where the denοminatοr becοmes zerο. This οccurs at x = 3 and x = -3.

Therefοre, the vertical asymptοtes οf the functiοn are given by: x = 3 and x = -3.

Learn more about asymptotes, by the following link.

brainly.com/question/4138300

#SPJ1

for the line that goes up - it cuts the y-axis at - 5  (p = -5)

when we take 2 points we go from one to the other by going to the right of 1 unit and going up of 3 units (slope m : 3/1)

=> y = 3x - 5

and

for the line which goes down - it cuts the y-axis in +2 (p=2)

when we take 2 points we go from one to the other by going to the right of 2 units and going down of 1 unit (slope m : -1/2)

=> y = -1/2x + 2

=> y + 1/2x = 2

2x + 4y = 8

=> B

Answer:

\((-3,-12)\)

\(x=-3, y=-12\)

Step-by-step explanation:

So we have the system:

\(3x+y=-21\\y=4x\)

To solve this, we can do some substitution. Substitute the y in the first equation for the 4x in the second:

\(3x+y=-21\\3x+(4x)=-21\)

Combine like terms:

\(7x=-21\)

Divide both sides by 7. The left side cancels:

\((7x)/7=(-21)/7\\x=-3\)

So we determined that x is -3. Now, plug this number back into the second equation:

\(y=4x\\y=4(-3)=-12\)

So the solution is:

\((-3,-12)\)

Answer:

\(\Large \boxed{x=-3 \ } \\ \\ \Large \boxed{y=-12}\)

Step-by-step explanation:

3x + y = -21

y = 4x

Substitue y = 4x in the first equation.

3x + 4x = -21

Combine like terms.

7x = -21

Divide both sides by 7.

x = -3

Let x = -3 for the second equation.

y = 4(-3)

Multiply.

y = -12

The solution for the system of equations is x = -3 and y = -12.

The inequality expression (2/3)y - 4 ≥ 2 when evaluated is y ≥ 3

Inequality expressions are those statements in mathematics that use symbols like <, >, ≤, or ≥ to compare two values.

From the question, we have the following inequality expression given as

(2/3)y - 4 ≥ 2

Add 4 to both sides of the inequality

So, we have the following representation

2/3y ≥ 2

Multiply both sides of the inequality expression by 3/2

y ≥ 3

Hence, the solution to the given inequality expression is y ≥ 3

Read more about inequality at

https://brainly.com/question/25275758

#SPJ1