308=2(10×x)+2(2×x)+2(10×2)+6(5×5)-2(5×5) What is x?

Step 1

Given; A frequency table that shows the number of hours of sleep that each staff member of Tia's Toy store got.

Required; To find how many employees work at Tia's Toy store.

Step 2

To find how many employees work at Tia's Toy store we sum the column of the number of employees

Therefore, the number of employees that work at Tia's Toy store is 9

Answer = 9 employees

Answer:

9 Employees

Step-by-step explanation:

So, all we have to do to solve this problem is, add the number of employees up, to get our total and answer.

1 + 0 + 4 + 2 + 1 + 1 = 9

Therefore, 9 employees work at Tia's toy store.

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f is expanding on the stretches: U (0,) and f is decreasing across the intervals: 'none' .The relative maxima of f happen at x = 'none' .The overall least of f happens at x = 0.

Given: `f(x)=4x²−6x⁴`. Consider the given function f(x)=4x26x4 to find the intervals where f is increasing or decreasing and then the x-coordinates of all relative maxima (minimum). Open interval where f is increasing or decreasing Take the primary subordinate of f(x) to really look at the time frames and diminishing. f(x)=4x26x4f'(x) = 8x - 24x3f'(x) = 8x (1-3x2)Now, the increasing and decreasing intervals must be checked using the first derivative test.

The derivative of the function f(x) is equal to zero when x is zero. Presently, the time period expanding and diminishing can be assessed to the right and left of the basic point, respectively.• On the off chance that 'f'(x) > 0', f(x) is increasing.• In the event that 'f'(x) < 0', f(x) is decreasing.• In the event that 'f'(x) = 0', f(x) has a relative least/most extreme.

The fact that "f'(x)"'s sign shifts from negative to positive at x = 0 indicates that it has a relative minimum. In this way, the general least is at x = 0.Therefore, f is expanding on the stretches: U (0,) and f is decreasing across the intervals: 'none' .The relative maxima of f happen at x = 'none' .The overall least of f happens at x = 0.

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Answer:

110

Step-by-step explanation:

In the triangle angle theorem the angles will all add up to equal 180.

180-20-50=110

The standard potential, E°, for the reaction X(s) + Y^2+(aq) ⇌ X^2+(aq) + Y(s) is -0.025 V.

he standard potential, E°, can be calculated using the Nernst equation:

E° = (RT/nF) * ln(K)

Where:

E° is the standard potential

R is the gas constant (8.314 J/(mol·K))

T is the temperature in Kelvin (298 K)

n is the number of moles of electrons transferred in the balanced equation (in this case, 2)

F is the Faraday constant (96485 C/mol)

K is the equilibrium constant (5.59 x 10^-3)

Substituting the values into the equation:

E° = (8.314 * 298)/(2 * 96485) * ln(5.59 x 10^-3)

E° = -0.025 V

Therefore, the standard potential, E°, for the given reaction is -0.025 V.

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Answer: Hello, I can help!

The probability that Jerry will have to wait for the bus for more than five minutes is 0.3. Therefore, the probability that he will not have to wait for more than five minutes is 0.7 (since the sum of the probabilities of all possible outcomes is 1).

The probability that Jerry does not wait for more than five minutes on any one day is 0.7. The probability that he does not wait for more than five minutes on all 5 days is:

0.7 x 0.7 x 0.7 x 0.7 x 0.7 = 0.16807

Therefore, the probability that Jerry does not wait for more than five minutes all 5 days this week is 0.16807 or about 16.81%.

Step-by-step explanation: rest easy my friend:)

Answer:

To answer this question, we need to use the binomial probability formula:

P(X = k) = nCk * p^k * (1 - p)^(n - k)

where n is the number of trials, k is the number of successes, p is the probability of success, and nCk is the number of combinations of k elements out of n.

In this case, n = 5 (the number of days in a week), k = 5 (the number of days that Jerry does not wait for more than five minutes), and p = 0.7 (the probability that Jerry does not wait for more than five minutes on any given day).

Plugging these values into the formula, we get:

P(X = 5) = 5C5 * 0.7^5 * (1 - 0.7)^(5 - 5)

P(X = 5) = 1 * 0.16807 * 1

P(X = 5) = 0.16807

Therefore, the probability that Jerry does not wait for more than five minutes all 5 days this week is about 16.8%.

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The median nerve and Klumpke's palsy are both related to nerve injuries in the arm, but they involve different nerve pathways and result in different symptoms.

The median nerve runs from the brachial plexus in the neck through the arm to the hand, and controls movement and sensation in the thumb, index, middle, and part of the ring fingers. Damage to the median nerve can result in symptoms such as weakness, numbness, and tingling in these fingers, as well as muscle wasting in the thumb.

Klumpke's palsy, on the other hand, involves damage to the lower brachial plexus nerves, specifically the C7, C8, and T1 nerve roots. This can result in weakness or paralysis in the hand and wrist, with symptoms such as a claw-like deformity, decreased grip strength, and loss of sensation in the affected areas.

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Place Value helps you subtract decimals because without it it would be a mess. Everything has to be in order if not you get the wrong answer

Answer:

-2-(-16)=14

Step-by-step explanation:

Use KCC rule

The correct line of code that completes this operator which transforms a Point by dx and dy is shown below: Point operator+(int dx, int dy) { return Point(x_+dx,y_+dy);}Note that the function operator+ takes two arguments: an integer dx and an integer dy.

The function returns a point, which is created by adding dx to x and dy to y.The completed code is shown below:class Point { int x_{0}, y_{0};public: Point(int x, int y): x_{x}, y_{y} {} int x() const { return x_; } int y() const { return y_; }};Point operator+(int dx, int dy) { return Point(x_+dx,y_+dy);}Therefore, the correct answer is: `Point(x_+dx,y_+dy)`

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Let \(n\) be an integer such that

\(\begin{cases} n \equiv 1 \pmod 3 \\ n \equiv 3 \pmod 4 \\ n \equiv 1 \pmod 5 \end{cases}\)

Note that (3, 4, 5) are mutually coprime, so we can use the Chinese remainder theorem.

Starting with

\(n = 1 + 3 + 1\)

we adjust to

\(n = (1\cdot4\cdot5) + (3\cdot3\cdot5) + (1\cdot3\cdot4)\)

to make computing the residues a bit easier.

• Taken modulo 3, we have

\(n \equiv 20 + 0 + 0 \equiv 2 \not\equiv 1 \pmod 3\)

so we need to further adjust the first term by introducing the inverse of 2 modulo 3. We have

\(2\cdot2 \equiv 4 \equiv 1 \pmod 3 \implies 2^{-1} \equiv 2 \pmod 3\)

Then

\(n = (1\cdot4\cdot5\cdot2) + (3\cdot3\cdot5) + (1\cdot3\cdot4)\)

• Taken modulo 4, we have

\(n \equiv 0 + 45 + 0 \equiv 1 \not\equiv 3 \pmod 4\)

We need another inverse; we have

\(3\cdot3 \equiv 9 \equiv 1 \pmod 4 \implies 3^{-1} \equiv 3 \pmod 4\)

and so

\(n = (1\cdot4\cdot5\cdot2) + (3\cdot3\cdot5\cdot3) + (1\cdot3\cdot4)\)

• Taken modulo 5, we have

\(n \equiv 0 + 0 + 12 \equiv 2 \not\equiv 1 \pmod 5\)

One more inverse:

\(2\cdot3 \equiv 6 \equiv 1 \pmod 5 \implies 2^{-1} \equiv 3 \pmod 5\)

and so

\(n = (1\cdot4\cdot5\cdot2) + (3\cdot3\cdot5\cdot3) + (1\cdot3\cdot4\cdot3)\)

Simplifying, we have \(n = 211\), and by the CRT we have

\(n \equiv 211 \pmod{3\cdot4\cdot5} \implies n \equiv 31 \pmod{60}\)

which is to say \(n=60k + 31\) where \(k\) is an integer.

The two integers that fall between 1 and 100 occur for \(k\in\{0,1\}\); they are 31 and 31 + 60 = 91, and their sum is 31 + 91 = 122.

Step-by-step explanation:

y = 2x + 1 -------- (I)

y = 4x + 6 --------(ii)

from eqn (I)

y = 2x + 1

sub y = 2x + 1 in eqn (ii)

2x + 1 = 4x + 6

2x - 4x = 6 - 1

-2x = 5

x = -5/2

sub x = -5/2 in eqn (I)

y = 2(-5/2) + 1

y = -5 + 1

y = -4

Therefore, (x, y) = (-5/2, -4)

The value of x for which (f - g)(x) = 0 is x = 12.

To find the value of x for which (f - g)(x) = 0, we need to subtract g(x) from f(x) and set the resulting expression equal to zero. Let's perform the subtraction:

(f - g)(x) = f(x) - g(x)

= (16x - 30) - (14x - 6)

= 16x - 30 - 14x + 6

= 2x - 24

Now, we can set the expression equal to zero and solve for x:

2x - 24 = 0

Adding 24 to both sides:

2x = 24

Dividing both sides by 2:

x = 12

Therefore, the value of x for which (f - g)(x) = 0 is x = 12.

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Answer:

Step-by-step explanation:

6. Soil volume = area * height = 1/2*4*4*2.5 = 20 cubic ft

7. Concrete volume = length * width * height = 1.8*1.8*3 = 9.72 cubic ft

Block weight = 95*9.72 = 923.4 lb

8. It is unclear but let's assume the ramp consists of 5 pieces.

The total area = 4*6+3.5*(4+6+7.2) = 84.2 sq ft

So it will require a minimum of 85.2/(4*2) = 10.65 or 11 sheets of plywood

Answer:

Step-by-step explanation:

the skateboard ramp only needs 3 pieces: 2x triangle of 4' by 6' and 1x rectangle of 3.5' by 7.2'.

the 2x triangle require 4x6/4x2 = 3 sheets of plywood

the rectangle require 3.5x7.2/4x2 = 3.15 ~4

so minimum is 7 sheets

Answer:

1

Step-by-step explanation:

Comment

This is a very interesting question.

The first statement says

1/3 girls =  1/6 of the total      Multiply both sides by 3

3(1/3) girls = 3(1/6) total

girls = 1/2 of the total

The boys must be 1/2 as well because all the students who are not girls must be boys.

Ratio (boys / girls) = 1/2 // 1/2 = 1

The ratio is 1

The height of the square-based pyramid is 3.5 in.

The volume of the square-based pyramid is the product of the base area multiplied by one-third of the height of the square-based pyramid.

Mathematically;

\(\mathbf{V = a \times \dfrac{1}{3}h}\)

\(\mathbf{V = a \times \dfrac{h}{3}}\)

Given that:

\(\mathbf{10.5 = 9 \times \dfrac{h}{3}}\)

\(\mathbf{10.5 =3\times h}\)

\(\mathbf{h = \dfrac{10.5}{3}}\)

h = 3.5 in

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Answer:

3.5 or third option

Step-by-step explanation:

I got it right on edge

Line passing through AB is perpendicular. A pair of angles that are linear have an angle sum of 180 degrees. The lines are therefore shown to be perpendicular to one another because the angles are 90 degrees in size.

Two lines intersect to generate perpendicular lines, and the angle formed between the two lines must be 90 degrees (right angle).

Given,

Create another line perpendicular to AB passing through C on AB..

Line passing through AB is perpendicular.

Two lines are perpendicular if they cross at a point where a pair of linear congruent angles results. In a plane, a transversal is perpendicular to the other line if it is parallel to one of the two parallel lines.

A pair of angles that are linear have an angle sum of 180 degrees. The lines are therefore shown to be perpendicular to one another because the angles are 90 degrees in size. The linear pair perpendicular theorem is demonstrated by this.

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Answer: (13,-7)

Step-by-step explanation:

By using the formula \((x_{m},y_{m}) =(\frac{x_{1}+x_{2} }{2},\frac{y_{1}+y_{2} }{2} )\)

\((x_{m},y_{m})\\\) is the coordinates of the midpoint.

For finding the midpoint X variable do:

\((\frac{4+22}{2})=13\)

For finding the midpoint Y variable do:

\(\frac{-10+(-4)}{2} = -7\) (you can either keep the parenthesis or take them out. Either way, the answer is the same.

Considering coordinate numbers follow the format: (x,y), you'll simply just substitute the numbers found above into their respective places.

x: 13

y: -7

(13,-7).

Answer:

`The answer is below

Step-by-step explanation:

P and q are points on the line y=2-4X. complete the coordinates of P and Q, P(0, ) Q( ,0)

Draw the line y= 2-4X for vales of x from -2 to 2

Solution:

The equation of a line is given by:

y = mx + b

Where y and x are variables, m is the slope of the line and b is the y intercept (that is value of y when x = 0).

The line of y = 2 - 4x is drawn by finding the corresponding values of y for x from -2 to 2 and plotting on a graph.

x:   -2      -1       0        1        2

y:   10      6       2       -2       -6

The value P(0, ) Q( ,0)

The y coordinate of point P is gotten by substituting x = 0:

y = 2 - 4(0) = 2

P = (0, 2)

The x coordinate of point Q is gotten by substituting y = 0:

0 = 2 - 4x

4x = 2

x = 0.5

Q = (0.5, 0)

Given a sample of 9 chocolate bars with an average weight of 6.05 oz and a stated weight of 6 oz with a standard deviation of 0.25 oz.

We need to test hypotheses H0: µ = 6 oz and H1: µ ≠ 6 oz at the 5% significance level. To test the hypotheses, we can use a t-test since the population standard deviation is unknown and we have a sample size of less than 30. The t-test statistic is calculated as (sample mean - hypothesized mean)/(sample standard deviation/sqrt(sample size)).

In this case, the sample mean is 6.05 oz, the hypothesized mean is 6 oz, the sample standard deviation is 0.25 oz, and the sample size is 9. The calculated t-value is (6.05 - 6)/(0.25/sqrt(9)) = 1.8. Now, we compare the calculated t-value with the critical t-value at the 5% significance level for an 8-degree of freedom (df = sample size - 1). Assuming a two-tailed test, the critical t-value is approximately ±2.306.

Since the calculated t-value of 1.8 is within the range of -2.306 to 2.306, we fail to reject the null hypothesis H0. There is not enough evidence to conclude that the average weight of the chocolate bars is different from 6 oz at the 5% significance level. In other words, the sample data does not provide sufficient evidence to support the claim that the average weight of the chocolate bars deviates significantly from the stated weight of 6 oz.

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The calculated number of additional miles he would run must not exceed 8 miles

The following are symbols for inequalities and their corresponding meanings:

The inequality format that expresses the information in the question is as follows:

Tom's minimum required running distance must be greater than or equal to the sum of the distance he has already run and the distance he plans to run.

Using this inequality, we can derive the equation

30 ≥ 22 + t

Where t represents the distance Tom plans to run.

To determine the value of t, we must simplify the equation by combining similar terms.

We can subtract 22 from both sides, resulting in

8 ≥ t.

Therefore, the maximum distance Tom plans to run is 8 miles.

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Answer:

0.00089.

Step-by-step explanation:

The third significant figure is 7 so we round up the 8,

Answer:

X=84

Y=64

Step-by-step explanation:

84+64+32= 180

Triangles always equal 180

The system of equations that matches the given graph is:

A. 3x - 6y = 12

9x - 18y = 36

To determine which system of equations matches a given graph, we need to analyze the slope and intercepts of the lines in the graph.

Looking at the options provided:

A. 3x - 6y = 12

9x - 18y = 36

B. 3x + 6y = 12

9x + 18y = 36

Let's analyze the equations in each option:

For option A:

The first equation, 3x - 6y = 12, can be rearranged to slope-intercept form: y = (1/2)x - 2.

The second equation, 9x - 18y = 36, can be simplified to 3x - 6y = 12, which is the same as the first equation.

In option A, both equations represent the same line, as they are equivalent. Therefore, option A does not match the given graph.

For option B:

The first equation, 3x + 6y = 12, can be rearranged to slope-intercept form: y = (-1/2)x + 2.

The second equation, 9x + 18y = 36, can be simplified to 3x + 6y = 12, which is the same as the first equation.

In option B, both equations also represent the same line, as they are equivalent. Therefore, option B does not match the given graph.

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The first term of the infinite geometric series is 625.Let's dive deeper into the explanation.

We are given that the sum of the infinite geometric series is \(\( \frac{15625}{24} \)\)and the common ratio is\(\( \frac{1}{25} \).\)The formula for the sum of an infinite geometric series is \(\( S = \frac{a}{1 - r} \)\), where \( a \) is the first term and \( r \) is the common ratio.
Substituting the given values into the formula, we have \(\( \frac{15625}{24} = \frac{a}{1 - \frac{1}{25}} \).\)To find the value of \( a \), we need to isolate it on one side of the equation.
To do this, we can simplify the denominator on the right-hand side.\(\( 1 - \frac{1}{25} = \frac{25}{25} - \frac{1}{25} = \frac{24}{25} \).\)
Now, we have \(\( \frac{15625}{24} = \frac{a}{\frac{24}{25}} \).\) To divide by a fraction, we multiply by its reciprocal. So, we can rewrite the equation as \( \frac{15625}{24} \times\(\frac{25}{24} = a \).\)
Simplifying the right-hand side of the equation, we get \(\( \frac{625}{1} = a \).\)Therefore, the first term of the infinite geometric series is 625.
In conclusion, the first term of the given infinite geometric series is 625, which corresponds to option (a).



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Answer:

1.25a+4.4

Step-by-step explanation:

The expression (1.5a + 4.7 + 0.25a - 0.3 - 0.5a) is equivalent to

1.25a + 4.3

We have the given equation -

1.5a + 4.7 + 0.25a - 0.3 - 0.5a

We have the following equation -

1.5a + 4.7 + 0.25a - 0.3 - 0.5a

1.5a + 0.25a - 0.5a + 4.7 - 0.3

1.25a + 4.3

Therefore, the expression (1.5a + 4.7 + 0.25a - 0.3 - 0.5a) is equivalent to

1.25a + 4.3

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The triangle in the question is a right triangle.

Recall that a right triangle that has an angle measuring 45 degrees is an isosceles triangle. This means that the two lines adjacent to the right angle are equal.

Going by this definition, we have that:

Therefore:

The length of the hypotenuse can be gotten using the Pythagorean Theorem:

Hence, we can calculate the value of the ratios provided:

Using the calculated value, we have the answers to be:

ANSWER

It will cost $1186.5 to fence the given garden which is in shape of right angled triangle.

Perimeter is the sum of boundary sides of the given figure. Generally, perimeter is calculated by adding all the sides of the figure given.

To find the cost of fencing the given garden, which is in shape of a right -angle triangle, firtsly we have to find the primeter of triangle.

Two shorter sides of the triangle are 24m and 7 m.

To find the third side of thye triangle which is also known as hypotenuse we have to apply the pythagoras theorem,

Third side (hypotenuse) = \(\sqrt{7^2+24^2} =\sqrt{49+576} =\sqrt{625} =25m\).

Now the perimeter of the given triangle=24+7+25=56m.

fencing comes in 4m section.

so, for fencing the garden we will need,

\(=\frac{56}{4} =14 sections\).

Cost of one section=$75 + tax (13%).

Cost of one section=$84.75

Cost of 13 sections = 14 x $84.75 = $1186.5.

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Answer: 21/40

Step-by-step explanation:

I did the test

Answer: 21/40

Hope this helps.