8 Divided by three fiths

Answer:

Step-by-step explanation:

The perimeter of the triangle shown is 17x units. The dimensions of the triangle are given in units. Which equation can be used to find the value of x?

7x + 15 + 15 = 17x

30 = 10x

x = 3

--------------------

check

7×3+15+15=17×3

21 + 30 = 51

51=51

the answer is good

Answer:

17x=30+7x

Step-by-step explanation:

Answer:

the answer will be : 1.13

\(\textit{area of a triangle}\\\\ A=\cfrac{1}{2}bh~~ \begin{cases} b=base\\ h=height\\[-0.5em] \hrulefill\\ h=x+7\\ b=2x+12 \end{cases}\implies A=\cfrac{1}{2}(2x+12)(x+7) \\\\\\ A=\cfrac{1}{2}\underset{\stackrel{\uparrow \qquad }{\textit{common factoring}}}{2(x+6)(x+7)}\implies A=(x+6)(x+7)\implies A=\stackrel{\mathbb{F~O~I~L}}{x^2+13x+42}\)

Answer:

24m

Step-by-step explanation:

To answer this question we will use the following expression to compute the probability that an event occurs:

Therefore:

Now, recall that:

Therefore:

Substituting

in the above equation we get:

Simplifying the above result we get:

Answer:

Keep in mind that we're framing it based on what the first sentence says, which is "If the cost of a competing factor of production, such as a machine that also could do the job, rises".

So if the cost of getting a machine part, various parts, or the entire machine cost rises, then demand for the machine will go down. This will make employers seek out substitutes. In this case, those substitutes would be human labor. As employers demand for labor goes up, the wages will rise assuming the supply of workers is held constant. If the supply of workers increased, then you could argue the wages could go down. So that's why I'm assuming the supply is held in check.

\(3\% = \frac{3}{100} = 0.03\)

Answer:

A

Step-by-step explanation:

because 3 percent is 3/100 so move the decimal point 2 over to make it 0.03.

The average rate of change over is 1.

Given that;

the function is,

⇒ g (t) = - (t - 1)² + 5

Hence, We need to determine the average rate of change over the interval - 4 ≤ t ≤ 5.

The value of G(-4):

The value of G(-4) can be determined by substituting t = -4 in the function

⇒ g (t) = - (t - 1)² + 5

Thus, we have,

⇒ g (t) = - (-4 - 1)² + 5

⇒ g (t) = - 20

Thus, the value of G(-4) = -20

The value of G(5):

The value of G(5) can be determined by substituting t = 5 in the function , we get,

⇒ g (t) = - (t - 1)² + 5

⇒ g (t) = - (5 - 1)² + 5

⇒ g (t) = - 11

Thus, the value of G(5) is, -11

Now, Average rate of change:

The average rate of change can be determined using the formula,

⇒ G(b) - G (a) / (b - a)

where, a = - 4 and b = 5

Substituting the values, we get,

⇒ G(5) - G (-4) / (5 - (-4))

⇒ ( - 11 - (- 20)) / 9

⇒ 9/9

⇒ 1

Thus, the average rate of change over the interval is. 1.

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Answer:

Step-by-step explanation:

48 55 and 72 because you divide the numbers to get the number that adds to 90 degress

Answer:

\(\{ 45, 60,75\}\) would form a right angled triangle.

Step-by-step explanation:

The numbers which are Pythagorean triplet would form a right angled triangle.

Let us suppose that we have three numbers namely \(a\) , \(b\) and \(c\) , then if sum of squares of two numbers is equal to the square to third number , then the three numbers are said to be Pythagorean triplet. That is ,

\(\implies a^2 + b^2 = c^2 \\\)

Also , here ,

\(\implies c > a \ ; c > b \\\)

We start by checking the given options one by ,

Option 1 :-

The three numbers are 49 , 64 and 80 . The largest number is 80 , therefore here c = 80 .

\(\implies a^2 = 49^2 = 2401 \\\)

\(\implies b^2 = 64^2 = 4096 \\\)

\(\implies c^2 = 80^2 = 6400 \\\)

Hence here we can see that,

\(\implies a^2+b^2\neq c^2 \\\)

Hence these numbers do not form a right angled triangle.

\(\rule{200}2\)

Option 2 :-

Here ,

\(\implies a^2 = 45^2 = 2025 \\\)

\(\implies b^2 = 60^2 = 3600\\\)

\(\implies c^2 = 75^2 = 5625\\\)

Here we can clearly see that,

\(\implies a^2 + b^2 = c^2 \\\)

Hence these sets of number would form a right angled triangle.

\(\rule{200}2\)

Option 3 :-

Here ,

\(\implies a^2 = 48^2 = 2304 \\\)

\(\implies b^2 = 55^2 = 3025\\\)

\(\implies c^2 = 72^2 = 5184 \\\)

Hence we can see that,

\(\implies a^2 + b^2 \neq c^2 \\\)

So these numbers would not form a right angled triangle.

\(\rule{200}2\)

Option 4 :-

Here ,

\(\implies a^2 = 34^2 = 1156 \\\)

\(\implies b^2 = 56^2 = 3136\\\)

\(\implies c^2 = 65^2 = 4225 \\\)

Again here we can see that,

\(\implies a^2 + b^2 \neq c^2 \\\)

So these numbers would not form a right angled triangle.

\(\rule{200}2\)

Answer:

2×2×5=20

2 is prime number and 5 is prime number

Answer:

\(P(C'\ and\ H') =0. 2178\)

Step-by-step explanation:

Let

\(C \to\) Student with cat

\(H \to\) Student has HBO sub

\(P(C) = 66\% \\ P(H) = 37\%\)

Required

\(P(C'\ and\ H')\)

This is calculated as:

\(P(C'\ and\ H') = P(C') * P(H')\)

Using complement rules, we have:

\(P(C'\ and\ H') = [1 - P(C)] * [1 - P(H)]\)

So, we have:

\(P(C'\ and\ H') = [1 - 66\%] * [1 - 37\%]\)

\(P(C'\ and\ H') = [33\%] * [66\%]\)

\(P(C'\ and\ H') =0. 2178\)

Answer:

(5, -3)

Step-by-step explanation:

translation rule: (x+5, y+2)

(0+5, -5+2)

(5, -3)

Answer:

Step-by-step explanation:

Step one:

given data

total ounces combined= 8.65+8.09= 16.74 ounces

We are told that the remainder after pouring the fruits into four bowls is

2.78 ounces, hence what was divided is

= 16.74-2.78=13.96 ounces

Now the amount that was divided is 13.96 ounces

hence a bowl took 13.96/4= 3.49 ounces

Average reading score is given by the expression,

        y = 0.153x + 255.4

Here, x in the number of years past 1970.

To find the year in which the average reading score is 259.378, substitute the value of 'y' in the given expression.

y = 0.153x + 255.4

259.378 = 0.153(x) + 255.4

0.153x = 259.378 - 255.4

0.153x = 3.978

x = \(\frac{3.978}{0.153}\)

x = 26

That means given average reading score 259.378 will be 26 years after 1970.

       Therefore, 1996 is the year in which the average reading score will be 259.378.

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Answer:

Step-by-step explanation:

You want the slope, y-intercept, and equation for a line that passes through the points (2, -2) and (8, 1).

The slope formula is used to find the slope:

  m = (y2 -y1)/(x2 -x1)

  m = (1 -(-2))/(8 -2) = 3/6 = 1/2

The slope-intercept equation can be rearranged to give the y-intercept:

  b = y - mx

  b = 1 -(1/2)(8) = 1 -4 = -3 . . . . . . using (x, y) = (8, 1)

The slope-intercept form equation is ...

  y = mx +b . . . . . . where m is the slope, and b is the y-intercept

Using the found values, the equation is ...

  y = 1/2x -3

Answer:

see below

Step-by-step explanation:

Answer:

ANSWER

Step-by-step explanation:

Without knowing the specific function w(x), it is impossible to determine the domain of the inverse function w^-1(x). However, in general, the domain of an inverse function is the range of the original function, and vice versa.

If we assume that w(x) is a one-to-one function (which is necessary for it to have an inverse function), we can determine the range of w(x) and use it to find the domain of w^-1(x).

For example, if we know that w(x) is a function that takes all real numbers except x=2, then the range of w(x) is (-∞,2) U (2,∞). The domain of w^-1(x) is then the same as the range of w(x), which is (-∞,2) U (2,∞). Therefore, the domain of w^-1(x) is x ≠ 2.

Without more information about w(x), we cannot determine the domain of w^-1(x) more precisely.

If the perimeter of the equilateral triangle is 18 cm then the width of the rectangle be 11.2 cm.

Given that the perimeter of the equilateral triangle be 18 cm and the perimeter of all the three triangles be 46.4 cm.

We are required to find the width of the rectangle.

Rectangle is basically the shape which is having opposite sides equal to each other.

Perimeter of equilateral triangle=3 *side

3* side=18

side=18/3

side=6

Since it is on the length of the rectangle so the length of rectangle be

6 cm.

Perimeter of all the three triangles=2*width of the rectangle+1 length+perimeter of 1 equilateral triangle.

T1 and T2 are the other triangles.

Suppose the width of the rectangle be x.

Perimeter=2*x+6+18

46.4=2x+24

2x=46.4-24

2x=22.4

x=11.2

So,the width of the rectangle is equal to 11.2 cm.

Hence if the perimeter of the equilateral triangle is 18 cm then the width of the rectangle be 11.2 cm.

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Answer:

\(t=\frac{74.1-72}{\frac{13.3}{\sqrt{50}}}=1.116\)    

The degrees of freedom are given by:

\(df=n-1=50-1=49\)  

Now we can calculate the p value with the following probability:

\(p_v =P(t_{(49)}>1.116)=0.135\)  

Since the p value is higher than the significance level provided of 0.1 we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly higher than 72 per hour.

Step-by-step explanation:

Information provided

\(\bar X=74.1\) represent the sample mean

\(s=13.1\) represent the sample standard deviation

\(n=50\) sample size  

\(\mu_o =72\) represent the value that we want to test

\(\alpha=0.1\) represent the significance level

t would represent the statistic

\(p_v\) represent the p value

Hypothesis to test

We want to analyze if the true mean for this case is higher than 72, the system of hypothesis would be:  

Null hypothesis:\(\mu \leq 72\)  

Alternative hypothesis:\(\mu > 72\)  

The statistic is given by:

\(t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}\)  (1)  

Replacing the info we got:

\(t=\frac{74.1-72}{\frac{13.3}{\sqrt{50}}}=1.116\)    

The degrees of freedom are given by:

\(df=n-1=50-1=49\)  

Now we can calculate the p value with the following probability:

\(p_v =P(t_{(49)}>1.116)=0.135\)  

Since the p value is higher than the significance level provided of 0.1 we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly higher than 72 per hour.

Answer:

negative

Step-by-step explanation:

positives and negatives make a negative

Answer:

Eve is 46 and her son is 23

Step-by-step explanation:

let x be the son's age then Eve is 2x. the difference in their ages is 23 , so

2x - x = 23 , that is

x = 23

then

Eve = 2 × 23 = 46 years

son = 23 years

Car 12 of Train B is also 12 cars away from Car 19 on Train B.

Since each train boasts 31 cars, we can ascertain the total amount of vehicles between Car 19 and Car 12 on Train A:

31 - 19 = 12

Thus, Car 12 on Train A is a dozen units distant from Car 19 on Train A.

Nevertheless, Train B is furthermore moving in an inverring direction and has its exclusive set of automobiles between Car 19 and Car 12. We comprehend that the matching figure of cars must be amongst Car 19 and Car 12 on Train B as with Train A.

In essence, Car 12 of Train B is also 12 cars away from Car 19 on Train B.

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Answer:

milligram would be 3.2e+7 or if not 3.2

Answer:

The answer is 3.2e+7mg

Step-by-step explanation:

You times 32 by 1e+6 and get 3.2e+7

Equation:

32 x 1e+6 = 3.2e+7 (mg)

Answer:

To do this, you need to multiply out the expressions. This is a bit tedious, but remember like FOIL for binomials, for these trinomials you must multiply each term. If you need a step-by-step, I'd be happy to provide it. Let me know.

Once you have simplified the expression, you get

-x-9/2x-4

But, the problem stipulates that a must equal 1. We can equivalently factor out the negative sign and put it on the denominator with no change to write

x+9/-(2x-4) = x+9/-2x+4

So, seeing where each coefficient corresponds between the two expressions, you get a = 1, b = 9, c = –2, and d = 4.

Answer:

£108.90

Step-by-step explanation:

\(121 \times 10\% \\ = 121 \times 0.10 \\ = 108.90\)

Answer:

W=3

Step-by-step explanation:

(6w + 4w)/48=5/8(taking lcm)

6w+4w=5/8*48

10w=30

W=3

Thanks for putting qsn, makes me remember this againa

These triangles can be proven congruent by using ASA RULE.

What is congruent triangles and its rules ?

When two triangles are congruent, their three sides and their three angles match precisely.

If there is a turn or a flip, the equal sides and angles might not be in the same place, but they are still present.

ASA rule stands for Angle-Side-Angle rule which means two angles and a side of both triangles are equal.

Main Body:

In ΔTUV and ΔTWV

VT =VT                 ----(1)

∠VTU=∠TVW      -----(2)

As TUVW is a parallelogram

so, ∠T = ∠U

hence, ∠TVU =∠VTW    ----(3)

taking equation 1, 2,3

therefore, ΔTUV ≅ ΔTWV by ASA rule which means by Angle- Side- Angle rule.

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