what is 2/5 + 7/8?
a - 9/40
b - 9/13
c - 50/40
d - 51/40​

Answer:

\(m\angle FGC =101\degree \)

Step-by-step explanation:

\(m\angle CBF = 46\degree\) (Given)

\(m\angle FIG = 55\degree\) (Given)

\(m\angle IFG = m\angle CBF\) (Corresponding angles)

\(\implies m\angle IFG = 46\degree\)

\(m\angle FGC =m\angle IFG+ m\angle FIG\)

(By exterior angle theorem)

\(m\angle FGC =46\degree+ 55\degree \)

\(m\angle FGC =101\degree\)

Here

Using the formula

sum of interiors=external

The name of every month ends in the letter y is the given statement. February is a counterexample to this statement. This is because February does not end with the letter 'y'. So the right  option is (c) February.

What is a counterexample?

In mathematics, a counterexample is an example that opposes or disproves a statement, proposition, or theorem. It is a scenario, an instance, or an example that goes against the given statement.

Therefore, a counterexample demonstrates that the given statement is false or invalid.In this case, the statement is: "The name of every month ends in the letter y." We have to find which of the months listed does not end in "y."February is the only month in the options listed that does not end in the letter "y."

Thus, it is a counterexample to the given statement. Therefore, the correct option is C, February.

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Slope intercept form is given by y=mx+c

#1

\(\\ \rm\longmapsto x-3=y\)

#2

\(\\ \rm\longmapsto y=1-3x\)

\(\\ \rm\longmapsto y=-3x+1\)

#3

\(\\ \rm\longmapsto -x+3=y\)

#4

\(\\ \rm\longmapsto y=3x-1\)

The domain of the given graph is the set of all real numbers from 0 to 8.

The graph showing the water depth on the y-axis in inches against the time in minutes on the x-axis has been attached.

Now, domain is the set of all possible input values and from the graph we see that the set of all possible input values are between 0 and 8.

Thus, we can conclude that the domain of the given graph is the set of all real numbers from 0 to 8.

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Answer:

surburu

Step-by-step explanation:

Answer:

B. \(\frac{3}{4}\)

Step-by-step explanation:

I got this question correct. :)

P(Surfed|Snowboarded) = P(Surfed and Snowboarded) / P(Snowboarded)

P(B|A) = \(\frac{36}{48}\) = \(\frac{3}{4}\)

Apologies for lack of explanation, but I think this will do it.

Answer:

1.6

Step-by-step explanation:

The stock turnover at retail is a measure of how many times a business sells its average inventory during a period of time. We can calculate the stock turnover by dividing the retail sales by the average inventory.

Stock turnover = Retail Sales / Average Inventory

Given the values :

Substituting these values

Stock turnover at retail = 196,450 / 123,456 = 1.6 (rounded to the nearest tenth)

Answer:

7.5 =0.0075

Step-by-step explanation:

divide the volume value by 1000

A unit rate's component is always 1. To find the unit rate, divide the fraction by the fraction such that the denominator is equal to one.

The meaning of math units:

Of mathematics, a unit can be thought of as the right side point in a number or the number one. In this instance, the unit number in the number 6713 is 3. A unit is also a term that may be used to describe the common measurement units.

The dimensions of a unit:

The area of a unit as depicted on the subdivision or annexation map that created the unit is referred to as its size. The lot, tract, or parcel size divided by the number of dwellings is the unit size for two-family and multiple-family homes on a single unit.

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Answer:

d

Step-by-step explanation:

Answer: D (-5,10),(-1,10),(-1,7),(-5,6)

Step-by-step explanation: I took the quiz and it was right hope this helps ❤️

Answer:

Step-by-step explanation:

This is all about the symbols and how they are pronounced; it's also about what they mean in less formal language.

h is less than 21:  h < 21

h is greater than or equal to 21:  \(h \ge 21\)  (notice the half-an-equal sign under the greater than sign)

h is less than or equal to 21:  \(h \le 21\)

h is equal to 21:  h = 21

h is greater than 21:  h > 21

Learn these well, and they'll be your friends for life!

Using the laws of decimal,

a. The decimal equivalent of the given numbers are as follows:

π = 3.14

√6 = 2.44

2√6 = 4.89

√7 = 2.64

b. Ordering these from least to greatest:

2.44, 2.64, 3.14, 4.89

Decimals are a set of numbers on a number line that appear between integers. They only serve as another way to represent fractions mathematically. Decimals give us a more precise way to express measurable quantities like length, weight, distance, money, etc.

Decimal fractions are shown to the right of the decimal point, while integers, commonly known as whole numbers, are shown to the left of the decimal point. If we continue straight from the first place, the next place, which is (1/10)th or tenth place value, is (1/10) times smaller.

As per the question,

a. The decimal equivalent of the given numbers are as follows:

π = 3.14

√6 = 2.44

2√6 = 4.89

√7 = 2.64

b. Ordering these from least to greatest:

2.44, 2.64, 3.14, 4.89

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Answer:

Total displacement = 2.52 kilometers [south east]\(a^2 + b^2 = c^2\\1.13^2 + 2.25^2 = c^2\\c^2 = 6.3394\\c = 2.52\)

Step-by-step explanation:

By the Pythagorean Theorem:

The equation of line h is y = -2x - 9

We say that two lines (on the same plane) are parallel to each other

if they never intersect each other, regardless of how far they are extended on either side.

In such lines, their gradient or slope are always equal.

if y - 8 = -2(x -4) is line g it can be written in slope intercept form as

y = 8 - 2(x - 4)

multiply out the bracket,

y = 8 -2x +8

y = -2x + 16

if equation of straight line is y = mx + c

comparing the two equations

slope(m) = -2

This slope is same for line h since they are parallel

for line h, m = -2, x = -5, y = 1

if y = mx + c

Then,

1 = -2(-5) + c

1 = 10 + c

c = 1 - 10

c = -9

equation of line h is y = -2x - 9

In conclusion the new equal of line h passing through point (-5, 1) is y = -2x - 9

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a) For value of x=-2 given function have a relative maximum.

b) The graph is concave upward in the interval of (-1,1) and (3,5)

c)

A function in mathematics from a set X to a set Y allocates precisely one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.

Finding a function's derivative, or rate of change, is the process of differentiation in mathematics. The practical approach of differentiation may be performed utilizing just algebraic operations, three fundamental derivatives, four principles of operation, and an understanding of how to manipulate functions, in contrast to the theory's abstract character.

solution of above questions are:

a)Function 'f' has relative maximum at x=-2 because f'(x)=0 and f' is   changing from +ve to -ve

b) (-1,1 ) and (3,5) are intervals of graph that is concave upward  because f' is increasing and f'' is +ve.

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Answer:

Step-by-step explanation:

ok so we organize it by:

9, 12, 13, 14, 14, 18, 19, 22, 22, 23, 42

so we eliminate 42 and so we cross out one from the left side and one from the right side and we repeat that and we find the center which is any number between 14-18

Answer:

y=2x+7

y=4x+7

y=5x

Step-by-step explanation:

substitute the numbers for the variables in the form y=mx+b

Answer:

Step-by-step explanation:

\(\frac{1}{3} (x+3)+4=-4+\frac{2}{3} x\\multiply~by~3\\x+3+12=-12+2x\\x-2x=-12-3-12\\-x=-27\\or~x=27\\\)

or if it is

\(\frac{1}{3} (x+3)+4=-4+\frac{2}{3x}\\ multiply~by~3x\\x(x+3)+12x=-12x+2\\x^2+3x+12x+12x=2\\x^2+27x-2=0\\x=\frac{-27 \pm \sqrt{(27)^2-4*1*-2} }{2*1} \\or~x=\frac{-27 \pm \sqrt{729+8} }{2} \\or~x=\frac{-27 \pm\sqrt{737} }{2}\)

Answer:

180,000 people

Step-by-step explanation:

2/5= 0.4

0.4x450,000=180,000

Answer:

180,000

Step-by-step explanation:

450,000/5 = 90,000

90,000 * 2 = 180,000

Answer:

Step-by-step explanation:

The random sample of size =36

Taken from a population with mean= 64

Standard deviation=4  

Standard error of the mean = 4/6=0.66

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The standard error of the mean is calculated to be 0.66

The formula for the standard error of the mean is expressed as:

SE = σ/√n

SE = standard error of the sample

σ = sample standard deviation

n = sample size

Note that σ is the Greek letter sigma and ​​√ is the square root symbol.

Given that,

The size of the random sample is 36.

based on a population whose mean was 64.

Standard deviation is 4

Standard error equals 4/\(\sqrt{36}\)=4/6 = 0.66

According to calculations, the standard error of the mean is 0.66.

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Answer:

you would solve D first.

Answer:

B

Step-by-step explanation:

First calculate the slope. \(\frac{y2-y1}{x2-x1}\). In this case, the slope is \(\frac{4}{5}\).

If you look at all of the answer choices, they are in slope - intercept form. This makes it easier! All you have to do is find an equation with the slope 4/5 that uses the point (4,1) or (9,5).

The standard slope intercept form for a point (a,b) is

y-b = m(x-a).

Remember that two negatives equal a positive.

Substitute in the slope for m and (4,1) or (9,5) for the point (a,b).

Answer:

Monica had 17 cookies to begin with

Step-by-step explanation:

10 divided by 2 is 5

The value of the x in the given angle measures is 28.

What is the right angle triangle?

A triangle in which one of the interior angles is 90° is called a right triangle. The longest side of the right triangle, which is also the side opposite the right angle, is the hypotenuse and the two arms of the right angle are the height and the base.

We have given,

In triangle ABC,

∠ABD = 90

∠ABC = 2x + 1,

∠CBD = 33

In triangle ABC, given that ∠ABD is divided into two angles,

So, ∠ABD = ∠ABC + ∠CBD,

90 = 2x + 1 + 33,

90 = 2x + 34,

2x = 90 - 34

2x = 56

x = 28

Therefore, the value of the x in the given angle measures is 28.

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Answer:

6t -8 >22

Step-by-step explanation:

add 8 to get rid of it

6t> 30

divide by 6 to undo multiplicstion

t > 5

Step-by-step explanation:

law of sine :

a/sinA = b/sinB = c/sinC

with the sides and correlating angles being always opposite to each other.

we are dealing with a right-angled triangle here.

the train track is the Hypotenuse (the side opposite of the 90° angle) : 1600 ft.

the horizontal level "connection" from beginning to the end of the track is one leg, and the elevation difference at the end of the track is the second leg.

the 2 legs enclose a 90° angle, as the elevation goes straight up from the horizontal level.

so, we have

1600/sin(90) = elevation difference / sin(1.6)

sin(90) = 1

1600 = elevation difference / sin(1.6)

elevation difference = 1600 × sin(1.6) =

= 1600 × 0.027921639... =

= 44.67462196... ft

≈ 44.7 ft

When analyzing research data, if the difference between group a and group b did not happen by chance and the data showed a real difference, the results are called statistically significant.

Statistically significant results occur in a research data when the difference between two groups is not likely to occur on its own, without the benefit of the independent variable. Statistically significant findings suggest that the researchers' outcomes are unlikely to be a result of chance, and that there is a relationship between the variables under investigation in the larger population. In such cases, the research usually rejects the null hypothesis and accept the alternative hypothesis.

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Step-by-step explanation:

So in order to get the area of the shaded region, we must make an expression for the large rectangle, make one for the small rectangle, subtract those, and then simplify if needed.

Since area is length x width, we can make our expressions

Big rectangle

(x + 10)(2x+5)

Small square

(x+1)(x+1) also known as (x+1)^2

Now to subtract

\((x + 10)(2x + 5) - (x + 1)(x + 1)\)

We can work out both expressions

\((2 {x}^{2} + 5x + 20x + 50) - ( {x}^{2} + 2x + 1)\)

Last but not least, subtract the terms

\( {x}^{2} - 23x + 49\)

... I think

The cone has a volume of (D) 288in3.

To find the volume:

Given:

Formula:

The Pythagorean theorem is used to calculate height.

The volume of the cone:

Therefore, the volume of the cone is (D) 288in³.

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The complete question is given below:
Right triangle ABC, shown, has a vertical leg 6 inches long and a hypotenuse 10 inches long. If the triangle was rotated 360 degrees around the vertical leg to form a right circular cone, what would be the volume of this cone, in cubic inches?

A. 32

B. 96

C. 128

D. 288

E. 384

The coordinates of point B on the triangle after the dilation is (8, 12)

The given parameters are:

Triangle coordinates = A(1, 1), B(2, 3) and C(4, 1)

The scale factor of dilation is given as

Scale factor = 4

Mathematically, this transformation can be represented as

(x, y) = 4(x, y)

So, we have

(x, y) = (4x, 4y)

When represented as a function, we have

Image = 4 * Point

Substitute the points in the equation Image = 4 * Point

So, we have the following equation

Image = 4 * [A(1, 1), B(2, 3) and C(4, 1)]

For point B, we  have

B' = 4 * (2. 3)

Evaluate the product

B' = (8, 12)

Hence, the image is (8, 12)

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Answer: 8,12

Step-by-step explanation: I’m always right