In the triangle, suppose that mZH=(2x-3)°, m< 1= (5x+7)°, and m < J= xº.
(2x-3)-
00
Equation:
✓ 10
(b) Find the degree measure of each angle.
m 2 H =
m 21=
m2J=
✓ 11
(a) Write an equation to find x. Make sure you use an "=" sign in your answer.
✓12
DID
$

Answer:

The maximum value of the function is 4

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The Remainder when dividing f(x) by x - 3 is 840

The remainder when dividing the polynomial f(x) = 3x^5 + 4x^3 + 3 by the binomial x - 3, we can use the polynomial remainder theorem. According to the theorem, if we substitute the divisor, x - 3, into the polynomial f(x) and evaluate it at x = 3, the resulting value will be the remainder.

Let's calculate the remainder using this approach:

Substituting x = 3 into the polynomial f(x), we have:

f(3) = 3(3)^5 + 4(3)^3 + 3

    = 3(243) + 4(27) + 3

    = 729 + 108 + 3

    = 840

Therefore, when f(x) = 3x^5 + 4x^3 + 3 is divided by x - 3, the remainder is 840.

In summary, the remainder when dividing f(x) by x - 3 is 840.

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NO, the interior of x is not necessarily connected.

A connected subset is one that cannot be expressed as the union of two non-empty separated sets.

The interior of x may not have this property. For example, consider the subset of the real line given by the closed interval [0,1]. This set is connected, but its interior, (0,1), is not. It can be expressed as the union of the two separated sets (0,1/2) and (1/2,1). Therefore, the interior of a connected subset may not be connected.
1. A connected subset X of a metric space M means that there is no separation of X into two disjoint non-empty open sets.
2. The interior of X refers to the set of all interior points of X, which are points where every neighborhood of the point lies entirely within X.
3. However, the interior of X may have a different connectivity structure than X itself. It is possible for the interior of X to be disconnected, meaning it can be separated into two disjoint non-empty open sets.
4. As a result, the interior of a connected subset X is not guaranteed to be connected.

Hence, The main answer is: No, the interior of a connected subset X of a matrix space M is not necessarily connected.

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True, The given statement is true, i.e., a process range chart (R-chart) illustrates the amount of dispersion within the samples.

The process range chart (R-chart) is a type of statistical control chart used to determine if a process is under statistical control. It's used to keep track of the changes in the variation in the process over time. It illustrates the amount of dispersion within the samples.

Therefore, we can conclude that the given statement is true, i.e., a process range chart (R-chart) illustrates the amount of dispersion within the samples.

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Applying one of the properties of a parallelogram, the value of x is 10°, then 6x=60° and 12x=120°.

There are different quadrilaterals, for example square, rectangle, rhombus, trapezoid, and parallelogram.  Each type is defined accordingly to its length of sides and angles. For example, a parallelogram presents some properties that are presented below.

The figure of the exercise shows two adjacent angles. From the property: the adjacent angles are supplementary, you have:

6x+12x=180

18x=180

x=10°

Therefore, 6x= 6*10=60° and 12x=12*10=120°.

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Using the test statistic, at the 0.05 level of significance, we do not find sufficient evidence to support the political scientist's claim and hence reject the null hypothesis.

To determine whether there is enough evidence to support the political scientist's claim that the proportion of college students interested in their district's election results is more than 65%, we can perform a hypothesis test using the given data.

Let's set up the null and alternative hypotheses:

H₀: p ≤ 0.65 (Null hypothesis: The proportion of college students interested in election results is 65% or less)

Ha: p > 0.65 (Alternative hypothesis: The proportion of college students interested in election results is more than 65%)

We are given that the sample size is 265 college students, and out of this sample, 180 students say they're interested in their district's election results.

To perform the hypothesis test, we'll calculate the test statistic, which is the z-statistic in this case, using the formula:

z = (p - p₀) / √(p₀(1-p₀)/n)

Where p is the sample proportion, p₀ is the hypothesized proportion under the null hypothesis, and n is the sample size.

Let's calculate the sample proportion:

p = 180 / 265 ≈ 0.679

Now, we can calculate the test statistic:

z = (0.679 - 0.65) / √(0.65(1-0.65)/265) ≈ 1.295

Next, we'll compare the test statistic with the critical z-value at a 0.05 level of significance (α = 0.05) for a one-tailed test.

Using a standard normal distribution table or a statistical calculator, the critical z-value at α = 0.05 is approximately 1.645.

Since the test statistic (1.295) does not exceed the critical z-value (1.645), we fail to reject the null hypothesis. In other words, we do not have enough evidence to support the political scientist's claim that the proportion of college students interested in their district's election results is more than 65% based on this sample.

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Answer: ax - b x  ax +b

Step-by-step explanation:

The two parenthesis in the middle stand for multiplication

Answer:

slope = \(\frac{10}{1}\)

Step-by-step explanation:

calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (4, - 9 ) and (x₂, y₂ ) = (5, 1 )

m = \(\frac{1-(-9)}{5-4}\) = \(\frac{1+9}{1}\) = \(\frac{10}{1}\)

Answer:no

Step-by-step explanation:

Answer: no

Step-by-step explanation: cuz u need a number thats bigger such as the numerator is bigger than the denominator

Answer:

1/8

Step-by-step explanation:

Since we have a pair of points, we can use the slope formula

m = ( y2-y1)/(x2-x1)

   = ( 7-8)/(-3 -5)

    = -1/-8

   = 1/8

Answer:

2x

Step-by-step explanation:

Hello :)

We are given two polynomials and are asked to subtract and simplify them. We can start this by distributing the 2 to x-3, then using that answer to subtract that from 4x-6.

2(x-3)  The distribution property is key here. Imagine you have to distribute the number two to both x and 3, because they're greedy and don't want to share. Distributing means you multiply 2 by both x and 3.

2x-6

Now that we know the polynomial for the first, we can perform subtraction.

(4x-6)-(2x-6)   We actually have to distribute the negative on the second polynomial to get rid of the parenthesis.

4x-6-2x+6    (note the sign turned positive since negative sign times a negative sign is a positive sign)

Let's simplify now. Combine like terms.

2x should be your final answer.

Answer:

Plug the x and y values to get it

Step-by-step explanation:

Answer:

75 percent

Step-by-step explanation:

percent increase = increase/original ×100

= (35-20)/20 ×100 =15/20 ×100= 15×5= 75

The beta of the portfolio, considering $1 with a beta of 3% and $2 with a beta of 7% and a weight of 0.1 (w1), is 6.6%.


The beta of a portfolio measures its sensitivity to overall market movements. To calculate the beta of a portfolio, we need the individual asset weights and betas of each asset. Given that $1 has a beta of 3% and $2 has a beta of 7%, with a weight of 0.1 (w1), we can determine the beta of the portfolio.

To calculate the beta of the portfolio, we use the following formula:

β(portfolio) = (w1 * β1) + (w2 * β2) + ...

In this case, the portfolio contains two assets, so the formula becomes:

β(portfolio) = (w1 * β1) + (w2 * β2)

Substituting the given values:

β(portfolio) = (0.1 * 3%) + (0.9 * 7%)

β(portfolio) = 0.3% + 6.3%

β(portfolio) = 6.6%

Therefore, the beta of the portfolio is 6.6%.

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Okay, let's solve this step-by-step:

* The box is shaped like a rectangular prism

* It has dimensions:

** 18.5 inches long

** 32 inches wide

** 12.2 inches deep

To find the volume of a rectangular prism, we use the formula:

Volume = Length x Width x Depth

So in this case:

Volume = 18.5 inches x 32 inches x 12.2 inches

= 18.5 * 32 * 12.2

= 5796 cubic inches

Therefore, the volume of the box is 5796 cubic inches.

Let me know if you need more details!

Answer:

0.542

Step-by-step explanation:

divide the liter by 1000 and get your answer! have a great day

542 liters is approximately equal to 0.542.

Given that a quantity, 542 L we need to convert it into kL,

To convert liters (L) to kiloliters (kL), you need to divide the given value in liters by 1,000 since there are 1,000 liters in 1 kiloliter.

In this case, to convert 542 L to kL, you can use the following formula:

kL = L / 1000

Plugging in the given value:

kL = 542 L / 1000

Dividing 542 by 1000, you get:

kL ≈ 0.542 kL

Therefore, 542 liters is approximately equal to 0.542.

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Answer:

Step-by-step explanation:

xa+yb=c

xb+yc=a

xc+ya=b

add

x(a+b+c)+y(a+b+c)=a+b+c

x+y=1 ... (1)

xac+ybc=c²

xab+yac=a²

xbc+yab=b²

add

x(ab+bc+ca)+y(ab+bc+ca)=a²+b²+c²

\(x+y=\frac{a^2+b^2+c^2}{ab+bc+ca} \\\frac{a^2+b^2+c^2}{ab+bc+ca} =1\\a^2+b^2+c^2=ab+bc+ca\\a^2+b^2+c^2-ab-bc-ca=0\\a^3+b^3+c^3-3abc=(a+b+c)(a^2+b^2+c^2-ab-bc-ca)=(a+b+c)(0)=0\\a^3+b^3+c^3=3abc\\\frac{a^3}{abc} +\frac{b^3}{abc} +\frac{c^3}{abc} =3\\\frac{a^2}{bc} +\frac{b^2}{ca} +\frac{c^2}{ab} =3\)

Answer:

Step-by-step explanation:

S x T = D

S = 45 km/h

T = 3.41 hours

D = 45 km/1 h x 3.41

D = 153.45/3.41

D = 45 km *

The angle in the capital letter "L" measures 90°, making it a right angle.

A right angle is one that is exactly 90 degrees, or half of a straight angle. There is usually a quarter turn in it. The fundamental geometric forms, rectangle, and square, each have four angles that measure 90 degrees.

When two lines cross, and there is a 90-degree angle between them, the lines are said to be perpendicular. A few examples of 90-degree angles in real life include the angle between the hands of a clock at 3 o'clock, the angles between two neighboring sides of a rectangular door or window, etc.

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Answer:

A. 36

Step-by-step explanation:

Answer: The answer is 4...

Explanation: this is a simple equation if you're trying to find X and f(x) = 12  but A(x) equals 3x your basically doing 3 times what equals 12 which in this case that would be 4 (well in any case it would be 4) I know this is confusing so hear me out (sorry)

f(x) = 12

A(x) = 3x  

3 x 4 = 12

x = 4

Like I said sorry if this makes you confused but the answer is 4 :)

brainliest? (even though I'm two weeks late)

The probability of selecting three cans of apple juice is 0.01915

Probability determines the odds that a random event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

The probability of selecting three cans of apple juice = (number of apple cans / total number of cans) x {(number of apple cans  / total number of cans) -1 }x {(number of apple cans / total number of cans) -1}]

total number of cans = 8 + 6 + 7 + 6 = 27

The probability of selecting three cans of apple juice = (8/27 x 7/26 x 6/25 = 0.01915

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The equation of the line through \((1,2)\) which make equal intercepts on the axis \(x+y=3\)

The equation of the line through (1,2) makes an equal intercept on the axis

The formula of the intercept form is

\(\frac{x}{a} +\frac{y}{b} =1\)

If they make an equal intercept

\(a=b\\\frac{x}{a} +\frac{y}{a} =1\\x+y=a\)

Put the value of the point in the axis, and we get.

\(1+2=a\\a=3\)

Put the value in the equation, and we get.

\(x+y=3\)

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Answer: John walks a total of 360 yards from school.

Step-by-step explanation:

Let's represent the total distance John walks from school as "x".

According to the problem, John has already walked 15% of the way, which can be written as:

0.15x

We also know that he has walked 54 yards so far, which means:

0.15x = 54

To find the total distance John walks from school, we can solve for "x" by dividing both sides of the equation by 0.15:

x = 54 ÷ 0.15

x = 360

Therefore, John walks a total of 360 yards from school.

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Step-by-step explanation:

lawn care ? is obviously only here to confuse us. has no impact and can be ignored.

similar teem life insurance, which is fully paid by the company, and has no impact on any paycheck deductions.

so, we only need to focus on

medical costs $3690 per year.

dental costs $194 per year.

travel insurance costs $92 per year.

the company pays 80% of medical, which means we have to pay for 20%.

$3690 = 100%

20% = 100%/5 = 3690/5 = $738

so, we get $738 deducted from our paycheck per year. per month we need to split this into 12 parts :

738 / 12 = $61.50 per month

the company pays 70% of dental, which means we have to pay for 30%.

$194 = 100%

30% = 100%×3/10 = 194×3/10 = 582/10 = $58.20 per year.

per month we need to split this into 12 parts again :

58.2/12 = $4.85 per month

the company pays 85% of travel insurance, which means we have to pay for 15%.

$92 = 100%

15% = 100%×15/100 = 92×15/100 = 1380/100 = $13.80 per year.

per month we need to split this into 12 parts again :

13.8/12 = $1.15 per month

so, each month

$61.50

$ 4.85

$ 1.15

-----------

$67.50 are deducted from the paycheck for these coverages

Answer:

Step-by-step explanation:

Noice....

6(2y+6)=4(9+3y)

divide both sides by 2

6(2y+6) / 2 = 4(9+3y) / 2

then after simplification

3(2y+6) = 2(9+3y)

6y + 18 = 18 + 6y

w t hell

it cant be solved

it can be but i think its misprinted

Answer:

for 2 it's 2 4 6 8 10 12 14 16 18 20 22 24 and for three it's 3 6 9 12 15 18 21 24 27 30 33 36

Step-by-step explanation:

You Welcome

Answer:

The distance is 5i

Step-by-step explanation:

Subtract the six and the four then find the distance between the numbers paired with the variables.

Answer:14.58 miles.

Step-by-step explanation:

Matthew is training to participate in a half marathon.

The distance covered by Matthew on the first day is 12.5 miles.

The distance covered by Matthew on the second day is 13.5 miles.

The distance increased on the second day is, 13.5-12.5=1 mile.

The percentage will be,

=\dfrac{1}{12.5}\times 100\%

=0.08\times 100\%

=8\%

Hence, each day he runs 8% more. So the distance covered by him on day 3 will be,

=13.5+\left(13.5\times \dfrac{8}{100}\right)

=13.5+1.08

=14.58 miles

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Step-by-step explanation:

Answer:

Basic consensus is that that other answer is wrong. The actual answer is 19.22

Step-by-step explanation:

To find the common ratio you just do this, last number = 15.5, and first number = 12.5.

15.5/12.5 equals 1.24.

^That's the common ratio.^

using A(n) = a * r ^ n - 1,

you get 12.5 * 1.24 ^ 3 - 1, or just 12.5 * 1.24 ^ 2

and solving that problem, you get 19.22.

Confirm this by doing the same thing earlier, 19.22/15.5 is 1.24. Which is the ratio found earlier. So it checks out.

Answer:

126 miles

Step-by-step explanation:

28.95*4=115.8

150-115.8=34.2

34.2/0.27=126