A triangle can have sides of length 7, 9, and 18.

true
false

\(\bf\huge Question:\)

\(4c-3x=2y - 3\)

We need to find the value of c in the given Equation.

\(\bf\huge \: Solution:\)

\( \sf \longmapsto \: 4c-3x=2y - 3\)

\( \boxed{\bf Add \: 3x \: to \: both \: sides:}\)

\(\sf \longmapsto \: 4c - 3x + \red{ 3x} = 2y - 3 + \red{ 3x}\)

\( \underline{\bf \: \bf On \:Simplification :}\)

\(\sf \longmapsto \: 4c = 2y - 3 + 3x\)

\(\sf \longmapsto4c = 3x + 2y - 3\)

\( \boxed{\bf \: Divide \: both \: side s \: by \: 4 :} \)

\(\sf \longmapsto \: \dfrac{4c}{ \red4} = \dfrac{3x + 2y - 3}{ \red4} \)

\(\underline{ \bf \: \bf On \:Simplification :}\)

\( \sf \longmapsto \: c = \dfrac{3}{4} x + \dfrac{1}{2} y + \dfrac{ - 3}{4} \)

______________________________________

\( \underline{\bf \: Henceforth, The \: value \: of \: c \: is :} \)

\( \boxed{\red{\huge \tt{{c}}= \dfrac{3}{4} x + \dfrac{1}{2} y + \dfrac{ - 3}{4} }}\)

Or it can also be rewritten as :

\( \boxed{\red{\huge \tt \: c = \dfrac{1}{2} y - \dfrac{3}{4} + \dfrac{3}{4} x}}\)

Answer:

c=-9

Step-by-step explanation:

Hello,

\((ax+b)(x-3)=ax(x-3)+b(x-3)=ax^2-3ax+bx-3b\\\\=ax^2+(b-3a)x+(-3b) \\\\\text{And it should be equal to } 4x^2+cx-9\)

We can identify the like terms so:

a = 4

b-3a = c

3b = 9 <=> b = 3

So c = 3 - 3*4 = 3-12 = -9

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer:

.55 or 11/20

Step-by-step explanation:

multiply 2 3/4 by 1/5 to get the pounds of apples Sage uses.

Sage uses 11/20 of a pound of apples or approximately 0.55 pounds of apples.

A fraction with a mixed expression, also known as a complex fraction, has a fraction in either the numerator, the denominator, or both.

The box contains 2³/₄  pounds of apples, which can be written as a mixed number or an improper fraction:

2³/₄ = (2 × 4 + 3)/4 = 11/4

To find out how many pounds of apples Sage uses, we need to multiply the amount in the box by the fraction that represents the proportion of the box that Sage uses, which is 1/5:

(1/5) × (11/4) = (1 × 11)/(5 × 4) = 11/20

Therefore, Sage uses 11/20 of a pound of apples or approximately 0.55 pounds of apples.

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The seismic waves from the earthquake in Caracas were 12589.25 times stronger than typical seismic waves.

Seismic waves are acoustic energy waves that passes through the Earth. It can be brought on by massive landslides, volcanic eruptions, magma movement, earthquakes, and artificial explosions that discharge a lot of low-frequency acoustic energy.

By using formula for, M= log(w/w_0), we can find:

10^M= w/w_0, it means 10^M.w_0, = w

but M=4.1, so 10^4.1 = 12589.25

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Answer:

2.5 m

Step-by-step explanation:

perimeter of a square=side *4

5/8*4

5/2

2 1/2

Answer:

\(\boxed{2\frac{4}{8} }\)

Step-by-step explanation:

Perimeter of a square = All 4 sides added up together

\(\frac{5}{8}+\frac{5}{8} +\frac{5}{8} +\frac{5}{8} = \frac{20}{8} =2\frac{4}{8}\)

Answer:

\(\frac{1}{7^5}\)

Step-by-step explanation:

When multiplying bases that are the same with different exponents, you add the exponents:

\(7^{-8}*7^3=7^{-8+3}=7^{-5}=\frac{1}{7^5}\)

Since -1.7 > -2.33, we faiI tο reject the nuII hypοthesis. Therefοre, we cannοt cIaim with 99% cοnfidence that the mean weight οf the manufacturer's cοmputer parts is Iess than 275 grams

Standard deviatiοn is a statisticaI measure that shοws hοw much variatiοn οr dispersiοn there is frοm the mean οf a set οf data. It is caIcuIated by finding the square rοοt οf the variance.

Tο test this hypοthesis, we need tο perfοrm a οne-sampIe t-test with the fοIIοwing hypοtheses:

NuII hypοthesis: The mean weight οf the cοmputer parts prοduced by the manufacturer is greater than οr equaI tο 275 grams.

AIternative hypοthesis: The mean weight οf the cοmputer parts prοduced by the manufacturer is Iess than 275 grams.

We wiII use a οne-taiIed test with a IeveI οf significance οf 1%, which cοrrespοnds tο a t-scοre οf -2.33 (frοm the t-distributiοn tabIe with 255 degrees οf freedοm).

The test statistic fοr this sampIe is:

t = (sampIe mean - hypοthesized mean) / (sampIe standard deviatiοn / √(sampIe size))

t = (274.3 - 275) / (25.9 / √(256))

t = -1.7

Since -1.7 > -2.33, we faiI tο reject the nuII hypοthesis. Therefοre, we cannοt cIaim with 99% cοnfidence that the mean weight οf the manufacturer's cοmputer parts is Iess than 275 grams

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Answer:Fail to reject the null hypothesis. There is not enough evidence to oppose the company's claim.

Step-by-step explanation:The mean weight from a sample of 256 computer parts created by a computer manufacturer was 274.3 grams, with a standard deviation of 25.9 grams. Can this company claim that the mean weight of its manufactured computer parts will be less than 275 grams? Test this hypothesis using a 1% level of significance.

Reject the null hypothesis. There is not enough evidence to oppose the company's claim.

Fail to reject the null hypothesis. There is not enough evidence to oppose the company's claim.

Reject the null hypothesis. There is enough evidence to oppose the company's claim.

Fail to reject the null hypothesis. There is enough evidence to oppose the company's claim.

The test statistic needs to fall within the rejection regions that are above and below the critical z-score associated with a 1% level of significance in order to reject the null hypothesis. Otherwise, we will fail to reject the null hypothesis.

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Points

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Answer: D

Step-by-step explanation:

The function shown on the graph has the same rate of change but lower starting point

the answer is D!

the function shown on the graph has the same rate of change but a lower starting point.

Answer:

She answered 87.5% correctly.

Step-by-step explanation:

100÷48=2.083

2.083×42=87.5

The percentage of student answered correctly is 87.5%.

A percentage, a relative value indicating hundredth parts of any quantity.

The following formula is a common strategy to calculate a percentage:

According to the given question.

Total number of questions = 48

Total number of questions which are answered correclty by a student = 42

Therefore, the percentage of question the students answered correctly is given by

\(Percentage = \frac{total \ correctly \ answered\ questions}{Toal\ number \ of\ questions\ } \times 100\)

\(\implies percentage = \frac{42}{48} \times 100\)

\(\implies percentage = 0.875\times 100\)

\(\implies percentage = 87.5\%\)

Hence, the percentage of student answered correctly is 87.5%.

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The that will represent the exponential function is given in image

What are exponential functions, exactly?

A mathematical function with the formula f (x) = aˣ, where "x" is a variable and "a" is a constant that is referred to as the function's base and must be greater than zero. The most commonly used exponential function basis is the transcendental number e, which is approximately equivalent to 2.71828.

Exponentially increasing growth

In Exponential Growth, the amount expands incredibly slowly at first, then rapidly. With the passage of time, the rate of change quickens. The rate of growth quickens as time passes. The fast growth is supposed to indicate a "exponential ascent".

The exponential growth formula is: y = a (1+ r)ˣ, where r is the proportion of increase.

Now,

As the function y=10x² represents the number of gummies after x months

the the graph will be  

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Ahab's total change to funds is -$175, which means he spent more than he gained.

Ahab spent 3 tires at $50 each, which is a total of 3 x $50 = $150.

Later, he returned one tire, so he gets $50 back.

He also found a $5 bill, so he has an extra $5.

He then bought 2 jackets at $40 each, which is a total of 2 x $40 = $80.

The total amount Ahab spent is $150 + $80 = $230.

However, he also received $50 back and found $5, so his total change to funds is $50 + $5 - $230 = -$175.

Therefore, Ahab's total change to funds is -$175, which means he spent more than he gained.

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Answer: point E

Step-by-step explanation:

We know it is point E for 2 reasons.

(1) The problem actually tells us that the 2 lines intersect at point E. The vertex of an angle is always the intersection of two different lines (or parts of lines) unless it is a straight (180 degrees) angle.

We know this is not a straight angle because we have a diagonal line intersecting a horizontal line.

(2)  The name of the angle is given as 'angle AEC'. The middle letter of an angle name is always the vertex point of the angle.

I hope this helps.

The amount charged by the company is equivalent to $255.

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have a company charges $60 per day plus $0.50 per mile for truck rentals. Greg rents a truck for 3 days and drives 150 miles.

Assume that the amount charged by the company is equivalent to [x]. We can write -

[x] = (3 x 60) + (150 x 0.5)

[x] = 180 + 75

[x] = 255

Therefore, the amount charged by the company is equivalent to $255.

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Percentage and ratio word problems require understanding of the relationship between variables from which the question is formed

The options that give the correct values of the duration of the work are;

Reasons:

41. Number of days it takes a man to complete the work alone = x days

Therefore;

\(The \ work \ done \ by \ the \ man \ in \ one \ day = \dfrac{1}{x}\)

\(The \ work \ done \ in \ four \ days \ by\ the \ man = 4 \times \dfrac{1}{x} = \dfrac{4}{x}\)

The correct option is \(c) \ \dfrac{4}{x}\)

42. Number of days it takes a man to complete the work alone = x days

\(Work \ done \ by \ a\ man \ in \ one \ day = \dfrac{1}{x}\)

\(Work \ done \ by \ four \ men \ in \ one \ day = \dfrac{4}{x}\)

Number of days it takes a boy to complete the work alone = y days

\(Work \ done \ by \ a \ boy \ in \ one \ day = \dfrac{1}{x}\)

\(Work \ done \ by \ six \ boys \ in \ one \ day = \dfrac{6}{y}\)

4 men and 6 boys work for 5 days to complete the work

Therefore, work done by 4 men and 6 boys in 1 day is therefore;

\(\dfrac{4}{x} + \dfrac{6}{y} = \dfrac{1}{5}\)

The correct option is therefore;

\(d) \ \dfrac{4}{x} + \dfrac{6}{y} = \dfrac{1}{5}\)

43. As per the case study, we have;

Case 1

\(\dfrac{4}{x} + \dfrac{6}{y} = \dfrac{1}{5}\)

Which gives;

\(\dfrac{6\cdot x + 4\cdot y}{y \cdot x} = \dfrac{1}{5}\)

30·x + 20·y = y·x

Case 2

\(\dfrac{3}{x} + \dfrac{4}{y} = \dfrac{1}{7}\)

Which gives;

\(\dfrac{4\cdot x + 3\cdot y}{y \cdot x} = \dfrac{1}{7}\)

28·x + 21·y = y·x

Therefore;

30·x + 20·y = 28·x + 21·y

∴ 2·x = y

Plugging in the value of y = 2·x, in Case 1 gives;

\(\dfrac{4}{x} + \dfrac{6}{2 \cdot x} = \dfrac{1}{5}\)

\(\dfrac{2 \times 4 + 6}{2 \times x} = \dfrac{14}{2 \times x} =\dfrac{7}{x} = \dfrac{1}{5}\)

7 × 5 = x

x = 7 × 5 = 35

The number of days, x, it takes a man to complete the work alone, is given by option; a) 35 days

44. For the equation \(\dfrac{3}{x} + \dfrac{4}{y} = \dfrac{1}{7}\), if \(a = \dfrac{1}{x}\), and \(b = \dfrac{1}{y}\), we have;

\(3 \cdot a+ 4\cdot y = \dfrac{1}{7}\)

21·a + 28·y = 1

The correct option is option C. 21·a + 28·b = 1

45. A solution to the equation \(\dfrac{3}{x} + \dfrac{4}{y} = \dfrac{1}{7}\), is given by the values of x, and y, that gives;

\(\dfrac{1}{14} + \dfrac{1}{14} = \dfrac{1}{7}\)

We have;

3 × 14 = 42

4 × 14 = 56

Therefore, a solution to the equation is (42, 56)

The correct option is \(c) \ \underline{ (42, \ 56)}\)

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Answer:

the 3 is in the hundredths place

Step-by-step explanation: the numbers from behind the decimals goes tenths, hundredths, thousandths. there is two spots behind making it hundredths  

Answer:

Yes, the game is fair because Christopher and Janet have an equal probability of winning.

Step-by-step explanation: Christopher - Red marble=8

Janet - blue + green= 5+3= 8

The stochastic matrix with columns and rows labeled S, M, and L that describes the transitions is:

| 0.3  0.5  0.4 |

| 0.7  0.5  0.1 |

| 0.0  0.0  0.5 |

The (i, j) entry in this matrix represents the probability of moving from state i to state j.

The Initial Distribution Matrix on Monday is:

| 0.7 |

| 0.2 |

| 0.1 |

This represents the proportion of people who have a strenuous, moderate, and light workout on Monday.

To find the percentage of people who have a light workout on Tuesday, we need to multiply the initial distribution matrix by the stochastic matrix twice:

| 0.3  0.5  0.4 |   | 0.7 |   | 0.35 |

| 0.7  0.5  0.1 | x | 0.2 | = | 0.32 |

| 0.0  0.0  0.5 |   | 0.1 |   | 0.33 |

So, 33% of people will have a light workout on Tuesday.

To find the percentage of people who have a strenuous workout on Wednesday, we need to multiply the initial distribution matrix by the stochastic matrix three times:

| 0.3  0.5  0.4 |   | 0.7 |   | 0.451 |

| 0.7  0.5  0.1 | x | 0.2 | x | 0.296 |

| 0.0  0.0  0.5 |   | 0.1 |   | 0.253 |

Therefore, 45.1% of people will have a strenuous workout on Wednesday.

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Answer:

10 is your r

Step-by-step explanation:

Answer: 401k contributions reduce the federal tax owed

Step-by-step explanation:

The minimum number of trips the bus will have to make to accommodate everyone is 5.

To find the minimum number of trips the bus needs to make, we divide the total number of people by the capacity of the bus.

1. Divide the total number of people (330) by the capacity of the bus (68):

  330 / 68 = 4.85 (rounded to the nearest whole number)

2. The result is approximately 4.85, which means that 4 trips will not be enough to accommodate everyone.

3. Since we can't have a fraction of a trip, we need to round up to the nearest whole number to ensure that everyone is accommodated.

4. Therefore, the minimum number of trips the bus will have to make is 5, as it will require 5 full trips to transport all 330 people.

It's important to note that on the fifth trip, the bus will not be completely full, as only 10 people will be left to transport. However, this is the minimum number of trips needed to ensure that everyone can go sight-seeing on the bus.

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The inequalities for x are

x> 0.5 and x> 1.5

Mathematical expressions with inequalities are those in which the two sides are not equal. Unlike to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

Given:

1. From the diagram we can see that;

3x + 2 > x + 3 (according to the length)

Solve the resulting inequality

3x - x > 3 - 2

2x > 1

x > 1/2

x> 0.5

2. Again From the figure

4x- 3 > 2x

4x -2x > 3

2x > 3

x>3/2

x> 1.5

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Answer:

$56

Step-by-step explanation:

cost of 8 packages of clay = $ 32

cost of 1 package of clay = 32 / 8 = $4

cost of 14 packages = 14*4 = $ 56

Answer:

There aren't any graphs that you attached so i can't see which one is a proportional graph, but the one that is going up by a constant proportional rate of change would be the proportional graph.

Proportional relationship graphs always start at the point 0 for x and y. The line always crosses through to origin. 0

Step-by-step explanation:

Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality".

Answer:

THERE are no graphs

Step-by-step explanation:

Answer:

605

Step-by-step explanation:

11x55=605

Based on the information given, we can conclude that RM = 2, but we cannot determine the lengths of the other sides of the quadrilaterals without further information.

Given that quadrilateral YFGT can be mapped onto quadrilateral MKNR by a translation, we can use the information to determine the length of RM.

A translation is a transformation that moves every point of a figure by the same distance and in the same direction. In this case, the translation is such that the corresponding sides of the quadrilaterals are parallel.

Since TY = 2, and the translation moves every point by the same distance, we can conclude that the distance between the corresponding points R and M is also 2 units.

Therefore, RM = 2.

By the properties of a translation, corresponding sides of the two quadrilaterals are congruent. Hence, side YG of quadrilateral YFGT is congruent to side MK of quadrilateral MKNR, and side GT is congruent to NR. However, the given information does not provide any additional details or measurements to determine the lengths of these sides.

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The three numbers first, second and third are 63, 567 and 163 respectively.

Let the first number = x

The second number is 9 times of the first number = 9x

The third number is 100 more than the first number i.e., = 100 + x

the sum of the three numbers = 793

1st no. + 2nd no. + 3rd no. = 793

x + 9x + 100+ x = 793

11x = 793 - 100

11x = 693

x = 693/11

x = 63(first number)

9x = 63 x 9 = 567

x + 100 = 63 + 100 = 163

The three numbers first, second and third are 63, 567 and 163 respectively.

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Answer:

Well, the smallest successive composites with gap 17, 73, 2, and 19 would have to be:

1. $341 = 11 \times 31$

2. $458 = 2 \times 299$

3. $460 = 2^2 \times 5 \times 23$

4. $479 = 13 \times 37$

The correct answer is B. The sample represents a proportion of the population.

A point estimate is a single value used to estimate a population's unknown parameter. The sample proportion (denoted by p), in the context of determining the population proportion, is a widely used point estimate. The sample proportion is determined by dividing the sample's success rate by the sample size.

The sample must be representative of the population for it to be a reliable point estimate of the population proportion. To accurately reflect the proportions of various groups or categories present in the population, the sample should be chosen at random.

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Answer: 4.8x+2

Step-by-step explanation:

To find the perimeter of a square multiply a side by 4

So 4(1.2x+0.5) = 4.8x+2

Answer:c

Step-by-step explanation:

c

Answer:b

Step-by-step explanation: