10. Jika a dan b penyelesaian dari persamaan
2x – 5 = 1+Vx-3 , maka a + b =
(A) 4
(B) 6
(C) 10
(D) 12
(E) 14

The image of the triangle when rotated is F' = (8, 7), G' = (1, 1) and H' = (4, 8)

The vertices of the triangle are given as:

F = (-7,8)

G = (-1,1)

H = (-8,4)

The transformation rule is given as

270 degrees counterclockwise rotation

The rule of 270 degrees counterclockwise rotation is

(x,y) = (y,-x)

When the above rule is applied to the vertices of the triangle, we have:

F' = (8, 7)

G' = (1, 1)

H' = (4, 8)

Hence, the image of the triangle when rotated is F' = (8, 7), G' = (1, 1) and H' = (4, 8)

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10 dollars / 15 cans = 50 dollars / 75 cans

Equality and proportion are both important mathematical concepts used in various branches of mathematics, including arithmetic, algebra, and geometry.

Equality refers to the relationship between two values or expressions that are exactly the same. The symbol used to indicate equality is the equal sign (=). For example, 3 + 4 = 7 means that the value of 3 added to 4 is exactly equal to 7. In algebra, equality is used to solve equations and find the values of variables.

Proportion, on the other hand, refers to the relationship between two or more ratios or fractions. A proportion is an equation that states that two ratios are equal. The symbol used to indicate proportion is the proportionality symbol (∝) or the equal sign with two colons (::). For example, the proportion 1/2 :: 3/6 means that the ratio of 1 to 2 is proportional to the ratio of 3 to 6, because they both simplify to 1:2.

To represent the proportion of 10 dollars to 15 cans as 50 dollars to 75 cans, we can set up the following equality using the proportionality symbol "∝":

10 dollars / 15 cans ∝ 50 dollars / 75 cans

To simplify this proportion, we can cross-multiply and get:

10 dollars × 75 cans = 15 cans × 50 dollars

Multiplying on each side, we get:

750 dollars = 750 dollars

This shows that the two ratios are equivalent and the proportion is true. Therefore, the equality that represents the proportion is:

10 dollars / 15 cans = 50 dollars / 75 cans

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First use the distributive property by multiplying the 3 with each term inside the parentheses:

-8 + 3c + 3 + c

Now combine like terms:

-8 + 3 = -5

3c + c = 4c

Combine for final answer:

-5 + 4c which can also be written as 4c-5

Answer:

first let's multiply 3 by the bracket

-8+3*c+3*1+c=-8+3c+3+c

then add the numbers that have the same variables -8+3+3c+c

=-8+3+4c then add the numbers

=-5+4c is the answer

you can also write it like this

4c-5

The acceleration components of point D are, ax = 3.6 m/s², ay = 6.4 m/s², az = -1.14 m/s²

At the instant shown, the shaft and plate rotates with an angular velocity of 19 rad/s and angular acceleration of 9 rad/s2. The given diagram is shown below. Angular velocity (w) = 19 rad/sAngular acceleration (α) = 9 rad/s²Plate dimension AB = 0.6 m, BC = 0.2 m, CD = 0.4 m, DA = 0.3 m, AE = 0.3 m and EF = 0.4 m.

Determine the wocl and Dsea of Enter the ", y, and Z components of the velocity separated by commas vec m/sThe velocity components for point D can be calculated using the following formula.Vd = R x wWhere R is the position vector of D relative to the origin.

According to the given diagram, the position vector of point D relative to the origin is, R = 0.2i + 0.4j + 0.3kThe velocity of point D can be calculated as follows.Vd = R x w = 0.2i + 0.4j + 0.3k x 19The cross product of R and w can be calculated as follows.i j k 0.2 0.4 0.3 0 19 0 = [(0.4 × 0) - (0.3 × 19)] i - [(0.2 × 0) - (0.3 × 0)] j + [(0.2 × 19) - (0.4 × 0)] kVd = -5.7i + 6.8kThus, the velocity components of point D are, Vx = -5.7 m/s, Vy = 0 m/s, Vz = 6.8 m/s

Determine the acceleration of point D located on the corner of the plate at this instant. Enter the, y, and Z components of the velocity separated by commas vec m/sThe acceleration components of point D can be calculated using the following formula.aD = R x α + w x (w x R)Where R is the position vector of D relative to the origin.

According to the given diagram, the position vector of point D relative to the origin is, R = 0.2i + 0.4j + 0.3kThe acceleration of point D can be calculated as follows.aD = R x α + w x (w x R) = (0.2i + 0.4j + 0.3k) x 9 + 19 x (19 x (0.2i + 0.4j + 0.3k)) = (0.4k - 0.3j) x 9 + 19 x (0.4 x (0.4j - 0.3k))aD = 3.6i + 6.4j - 1.14k.

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Answer:

A

Step-by-step explanation:

The total number of marbles is 24 + 16 + 10 + 22 + 8 = 80

Blue has been picked 16 times

P(Blue)= 16/80 * 100 = 20%

Answer:

Elga is 32 years old.

Step-by-step explanation:

Let Alvin's age = A

Let Elga's age = E

Alvin is 10 years younger than Elga, so A = E - 10

The sum of their ages is 54, so A + E = 54

Replace the A in the second equation with E - 10, then solve for E.

A + E = 54 becomes (E - 10) + E = 54

Combine like terms

2E - 10 = 54

Add 10 to both sides

2E = 64

Divide both sides by 2

E = 32

Answer:

Step-by-step explanation:

26) abs(10)=10

The absolute value of a positive number equals to that positive number. It cannot be a negative number. Therefore, the statement is false.

27)  abs(-5)<4

abs(-5)=5>4

The absolute value of a negative number equals to that number as positive, therefore, 5 is bigger/larger than 4, which makes the statement false.

Please mark me as Brainliest if you're satisfied with the answer.

1. The actual differences that researchers imply causality come from randomized experiments.

2.  That the sample selected represents the population.

3. Confidence level clearly stated.

Population values, also called parameters, are calculated from all values ​​in the entire population.

A representative sample is a subset of the population that attempts to accurately reflect the characteristics of the larger group. For example, in a classroom of her 30 students, 15 boys and 15 girls, you can create a representative sample of her 6 students, 3 boys and 3 girls.

Probable sampling is defined as a sampling technique in which the researcher selects samples based on the researcher's subjective judgment rather than at random. This is a less rigorous method. This sampling method relies heavily on the researcher's expertise. This is done through observation and is often used by researchers for qualitative research.

A confidence interval (CI) is the range of estimated values ​​for an unknown parameter. Confidence intervals are computed at the specified confidence level. A 95% confidence level is the most common, but other levels such as 90% and 99% are sometimes used. The confidence level represents the proportion of corresponding CIs over time that contain the true value of the parameter. For example, 95% of all intervals computed at the 95% level must contain the true value of the parameter.

Factors that affect the width of the CI include confidence level, sample size, and intra-sample variation. All other things being equal, the larger the sample, the narrower the confidence interval. Similarly, the greater the sample variability, the wider the confidence interval, and the higher the confidence level, the wider the confidence interval should be.

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Answer:

99+1

Step-by-step explanation:

Answer:

28936

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

you add em all up then you find the answer choice

Integer -17 represents Rudy's score for 2 weeks.

Rudy's scores:

Then, add 15 and -32 as follows:

Therefore, integer -17 represents Rudy's score for 2 weeks.

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The dimensions of the playground that maximize the total enclosed area is 100 feet.

Let,

L= length of entire playground

W = width of entire playground

Assume the dividing fence is parallel to the width.

Total fencing required

2L + 3W = 400

L= (400 − 3W)2

Area of entire playground,

A= L × W

= (400−3W)/2⋅W

= −3/2W^2 + 200W

Maximum area will occur at a point where the derivative of the area is equal to zero.

dA/dW = −3W+  200 = 0

W = 66 2/3

Substituting 91 1/3 for W in 2L + 3W = 400

gives

2L = 200

L = 100

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Step-by-step explanation:

The y-axis is intercepted when x = 0

put in '0' for 'x' and compute:

y = 29(5.2)^0  = 29

By using given figure, x=9/4 and the length of GH = 21.75.

What is the length ?

Here, in given figure,

BG≈GF and CH≈HE

now by using these similarities, we can write as,

BG≈GF therfore, \(\frac{GF}{BG}\) = 1:1

\(\frac{GF}{BF}\)=\(\frac{4x+8}{34}\)

1/2=\(\frac{4x+8}{34}\)

8x+16=34

8x= 18

x=9/4

if x=9/4 then,

GH= 7x+6 = 7(9/4)+6 =63/4+6 =\(\frac{63+24}{4}\) = 21.75

What is similarity of sides?

similarity of sides refers to the property of two geometric shapes or figures having the same shape but not necessarily the same size. More specifically, two shapes are said to be similar if their corresponding angles are congruent and their corresponding sides are proportional in length.

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The inverse Laplace transform of F(s) = e^(-2s)/(s^2 + s - 2) is given by option A: 1/3 u_2(t) [e^t - 2 - e^(-2*(t - 2))].

To find the inverse Laplace transform of F(s), we first need to factor the denominator of F(s). We have:
s^2 + s - 2 = (s+2)(s-1)
So, we can rewrite F(s) as:
F(s) = e^-2s/(s+2)(s-1)
To use partial fraction decomposition, we need to find the constants A and B such that:
F(s) = A/(s+2) + B/(s-1)
Multiplying both sides by (s+2)(s-1), we get:
e^-2s = A(s-1) + B(s+2)
To solve for A and B, we can plug in s=1 and s=-2:
e^-2 = A(-1) + B(0)
e^-4 = A(-3) + B(2)
Solving for A and B, we get:
A = -1/3 and B = 5/3
So, we can rewrite F(s) as:
F(s) = -1/3/(s+2) + 5/3/(s-1)
Now, we can use the inverse Laplace transform of each term to get:
L^-1{-1/3/(s+2)} = -1/3 e^-2t
L^-1{5/3/(s-1)} = 5/3 e^t
Putting it all together, we get:
L^-1{F(s)} = -1/3 e^-2t + 5/3 e^t
None of the given choices match this answer exactly, but we can simplify it as:
L^-1{F(s)} = 5/3 (e^t - e^-2t)/2 - 5/2 e^t
This matches choice E:
1/2 = u_2(t) [e^t - 2 - e^-2(t-2)]
Multiplying both sides by 5/3 and adding -5/2 e^t, we get:
L^-1{F(s)} = 5/2 u_2(t) [-e^t - 2 + 2e^-2(t-2)]
So the correct answer is E.

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Answer:

Step-by-step explanation:

4,456,546

Answer:

If something is a function, every x-value, only has one (1) y-value. If the line x = 0 intersects the graph in two points, there are to values for y (instead of one). Therefore the graph is not a function of x.  This also means your answer is A. Hope this helps!!!

Answer:

A

Step-by-step explanation:

plz mark me brainliest

The operation that is implied between the whole-number and fraction parts of the mixed number 4 2/3 is addition

The mixed number is given as:

4 2/3

The above expression can be represented as:

4 2/3 = 4 + 2/3

Notice that:

In the above operation, the operation that is implied between the whole-number and fraction parts of the mixed number 4 2/3 is addition

Hence, the operation that is implied between the whole-number and fraction parts of the mixed number 4 2/3 is addition

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Answer:

Degrees = Radians x 180/π

or

Degrees = 57.2958  x radians

Step-by-step explanation:

1 radian = 180/π degrees

1 radian = 57.2958 degrees

Multiply radians by this factor of 57.2958  to get the equivalent measure in degrees

π radians = 180°

2π radians = 360° which is the number of degrees in a circle

For anything greater than 2π radians you will have to subtract 360°

For example, 7 radians using the formula is 7 x (57.2958  ) ≈ 401.07°

But this still falls in the first quadrant, so relative to the x-axis it is
401.07 - 360 = 41.07°

Answer:

active listening and judgement and decision making

Answer:

1, 2, 3, 5, 7

or critical thinking, judgement and decision making, speaking, active listening, science

Step-by-step explanation:

Step-by-step explanation:

The formula goes by:

I= PRT/100

Where I is interest, p is principal, R is rate and T is time.

In the question it says that interest is given monthly, so we have to convert the time(10 years into months)

Principal=5000

Time=10 years × 12months= 120months

Rate=5%(5/100)

Now the formula

Interest= 5000×5×120 / 100

Interest= 30000

So the value in 10years is 5000 + 30000 = 35000

Dont forget your $ sign.

Therefore, there are 2,365,917,537,910 ways to select 10 pieces of gum from a bag of 250 pieces.

There are different ways to solve a combination problem like this one, but one common method is to use the formula for combinations. This formula is given by:

C(n,r)=\frac{n!}{r!(n-r)!}$$

Where n is the total number of objects in the set, r is the number of objects selected, and ! means factorial, which is the product of all positive integers up to a given number.

For example, 4!=4×3×2×1=24.

Using this formula, we can find the number of ways to select 10 pieces of gum from a bag of 250 pieces. We just need to plug in n=250 and

r=10 into the formula and simplify. The calculation is shown below:

C(250,10)=\frac{250!}{10!(250-10)!}$$

=\frac{250×249×248×...×242×241}{10×9×8×...×2×1}$$

=\frac{250×249×248×...×242×241}{10!}$$

=\frac{250}{10}×\frac{249}{9}×\frac{248}{8}×...\times\frac{242}{2}×\frac{241}{1}$$

=2,365,917,537,910

Therefore, there are 2,365,917,537,910 ways to select 10 pieces of gum from a bag of 250 pieces.

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The number of ways to select 10 pieces of gum from a bag of 250 pieces can be determined using the combination formula.

The combination formula is given by nCk,

where n is the total number of objects and k is the number of objects being selected.

In this case, n = 250 and k = 10.

Therefore, the number of ways to select 10 pieces of gum from a bag of 250 pieces is:

250C10 = 52,698,440,874 ways

So, the answer is 52,698,440,874 ways.

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The correct option is B) Not valid. Consider the statement “Since some shoes are sneakers, some non-sneakers are non-shoes.”

We know that all sneakers are shoes, but all shoes are not sneakers.  Hence, some shoes are sneakers. But, this statement does not imply that “some non-sneakers are non-shoes.” This inference cannot be drawn by contraposition. So, it is not valid.Inferences cannot be drawn in contraposition all the time. Contraposition is a type of logical statement that involves reversing and negating the terms of an original proposition. It is a logical relationship between a proposition and its converse. If a proposition is true, the contrapositive is always true.An example of contraposition can be shown as follows:“If a person is a human, then they are mortal.”We can write the contrapositive of this statement as:“If a person is not mortal, then they are not human.”

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The time t = 3.4209 will it take for the concentration to reach 350,000 material per millimeter.

In an hour, there are 60 minutes. Divide the number of minutes by 60 to convert it to hours. For instance, 120/60=2 means that 2 hours are equal to 120 minutes.

The millimeter, abbreviated mm in the International System of Units (SI), or millimeter, abbreviated mm in the American spelling, is a unit of length that is one thousandth of a metre long, the SI base unit of length. As a result, a metre is made up of 1000 millimeters.

We are going to use formula

y = a * e ^ (b * t)

a and b are constants and t is for time.

Initially there are 100,000 bacteria, so;

100000 = a * e ^ (b * 0)

100000 = a * 1

a = 100000

given condition is that the concentration doubles every 3 hours so

300000 = a * e ^ (b * 3)

As a equals to 100,000

e ^ (b * 3) = 3

b * 3 = ln 3

b = (ln 3) / 3

b = 0.3662

now we have to find value of the time when concentration of bacteria reaches to 350,000:

350000 = 100000 * (e ^ 0.3662 * t)

3.5 = e ^ 0.3662* t

ln 3.5 = 0.3662* t

t = 1.2527 / 0.3662

t = 3.4209

That is the required value of time

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Using the percentages we know that the price of the fule increased year was 5.6%.

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics.

If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100.

The proportion, therefore, refers to a component per hundred. Per 100 is what the word percent means.

The letter "%" stands for it.

Calculating 50% of 40%, for instance, yields (50/100) x (40/100) = 0.50 x 0.40 = 0.20, which equals 20/100 or 20%. NOTE: Using the percent sign and a division by 100 at the same time is improper.

So, observing the chart we know that the price of fuel is increasing.

Now, calculate the percentage of increasing the price as follows:

1st year:

= 3.04/3.22 * 100

= 94.40

Percentage increase: 100 - 94.40 = 5.6%

2nd year:

= 3.22/3.41 * 100

= 94.42

Percentage increase = 100 - 94.42 = 5.6%

3rd year:

= 3.41/3.61 * 100

= 94.45

Percentage increase = 100 - 94.45 = 5.5%

Rounding the percentage increase: 5.6%

Therefore, using the percentages we know that the price of the fule increased year was 5.6%.

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Correct question:

Can someone PLEASE help, it is URGENT. Make the answer clear. I'll give the brainiest or something, I just really need help. I think the brainliest will give 100 points.

The price of fuel may increase due to demand and decrease due to overproduction. Marco is studying the change in the price of two types of fuel, A and B, over time.

The price f(x), in dollars, of fuel A after x months is represented by the function below:

f(x) = 2.96(1.04)x

Part A: Is the price of fuel A increasing or decreasing and by what percentage per month? Justify your answer. (5 points)

The ordinal level of measurement is one of the four levels of measurement in statistics, along with nominal, interval, and ratio levels. In the ordinal level, data can be categorized and ranked in a particular order or sequence.

Here are the characteristics of the ordinal level of measurement:

Order: In ordinal data, the values have a meaningful order or ranking. We can determine whether one value is higher or lower than another, but we cannot determine the magnitude of the differences between values.

Categories: Data at the ordinal level can be classified into distinct categories or groups. Each category represents a different level or position within the ranking.

Relative Differences: While the magnitude of differences between values is not precisely quantifiable, we can still determine if one value is greater, lesser, or equal to another.

The complexity of the ordinal level of measurement is greater than the nominal level. Unlike the nominal level, where data can only be categorized into different groups without any order or ranking, the ordinal level adds the aspect of order and ranking to the categories. This introduces more information and complexity in the data.

The primary limitation of the ordinal level of measurement is that it does not provide information about the magnitude or size of the differences between values. We can only determine the order or rank, not the actual amount of difference between two values. For example, if we have an ordinal variable representing satisfaction levels (low, medium, high), we cannot ascertain the exact degree of difference between medium and high satisfaction. This limitation restricts the extent of statistical analysis that can be performed on ordinal data compared to interval or ratio data, which provide precise measurements and allow for meaningful calculations of differences and ratios.

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