After substituting, what is the first operation performed when evaluating 5+(9x-3)+2 for x - 5?
O addition
O multiplication
subtraction
O division
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Answer:

t=1

Step-by-step explanation:

2t+t−3=0

2t+t+−3=0

(2t+t)+(−3)=0(Combine Like Terms)

3t+−3=0

3t−3=0

Step 2: Add 3 to both sides.

3t−3+3=0+3

3t=3

Step 3: Divide both sides by 3.

3t

3

=

3

3

t=1

The statement "you should be able to spend a little over 1/4 of your gross monthly pay on rent" is generally considered true.

The general rule of thumb for budgeting rent is to allocate around 25-30% of your gross monthly income towards housing expenses, including rent. This guideline is aimed at ensuring that individuals or households have enough income remaining to cover other essential expenses, such as utilities, groceries, transportation, and savings.

However, it's important to note that personal financial circumstances can vary, and the ideal percentage may differ depending on factors like location, individual income, and overall budget. Factors such as high living costs in certain areas or higher income levels may allow individuals to spend more than a quarter of their income on rent comfortably. On the other hand, individuals with lower incomes may need to allocate a smaller percentage to ensure financial stability.

Therefore, while the statement is generally true, it's crucial to assess individual circumstances and make adjustments accordingly.

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The x-component of the vector ⃗ is -9.98 and the y-component is 8.53.

We can find the x and y components of the vector ⃗ by using trigonometry. The magnitude of the vector is given as 13.1, and the direction of the vector is 50∘ counter-clockwise from the -axis. We can use the cosine and sine functions to find the x and y components, respectively.

cos(50∘) = -0.6428, sin(50∘) = 0.7660

x-component = magnitude x cos(50∘) = 13.1 x (-0.6428) = -9.98

y-component = magnitude x sin(50∘) = 13.1 x (0.7660) = 8.53

Therefore, the x-component of the vector ⃗ is -9.98, and the y-component is 8.53.

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The x-component of the vector is approximately 8.375 and the y-component is approximately 9.955.

To find the x- and y-components of the vector, we can use trigonometry.

Given that the magnitude of the vector is 13.1 and the direction is 50° counter-clockwise from the - axis, we can determine the x- and y-components as follows:

The x-component (horizontal component) can be found using the formula:

x = magnitude * cos(angle)

x = 13.1 * cos(50°)

x ≈ 8.375

The y-component (vertical component) can be found using the formula:

y = magnitude * sin(angle)

y = 13.1 * sin(50°)

y ≈ 9.955

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Answer:

12 =x

Step-by-step explanation:

We  can use proportions to solve

6           x

---- = -------

10        10+10

Using cross products

6 ( 10+10) = x*10

6*20 = 10x

120 = 10x

Divide by 10

120/10 = x

12 =x

Answer:

x = 12

Step-by-step explanation:

ABC ~ ADE

AB/AD = BC/DE

 10/20 = 6/x

x = 20 x 6 ÷ 10

x = 12

In the pic. Hope this helps. Have a good day! Pls give brainliest if possible.

Answer:

Step-by-step explanation:

Find the difference by subtraction:

Find difference

\(\\ \star\sf\longmapsto 5.06-1.73\)

\(\\ \star\sf\longmapsto 3.33lbs\)

Answer:

30% are children.

Step-by-step explanation:

Females = 30%

Males = 40%

Therefore, children = 100% (total) - 30% + 40%

100 - 70

30%

in a city 30 °/• are female and 40°/. are males . what are remaining children?

Given,

▶️ percentage of females = 30%

▶️ percentage of males = 40%

▶️ let the percentage of children be x.

Now,

▶️ x = 100% (total population) - 30% + 40%

▶️ x = 100% - 70%

▶️ x = 30% (Children population)

The population % of children in a city is 30%.

Based on the given sample statistics (s²=25.98, n=51), the test statistic (χ²) should be calculated using the formula (n - 1) * s² / σ², and then compared to the critical value for the chi-square distribution with (n - 1) degrees of freedom at a significance level of α = 0.10 to determine whether to reject the null hypothesis or not.

To test the claim about the population variance σ² at the significance level α, we can use the chi-square test. Here's how you can perform the test with the given information:

State the null and alternative hypotheses:

The null hypothesis (H₀) is that the population variance σ² is greater than 16.6.

H₀: σ² > 16.6

The alternative hypothesis (H₁) is that the population variance σ² is less than or equal to 16.6.

H₁: σ² ≤ 16.6

Select the significance level (α):

The given significance level is α = 0.10 (or 10%).

Compute the test statistic:

The test statistic for the chi-square test of variance is given by:

χ² = (n - 1) * s² / σ²

Where:

n = sample size (51)

s² = sample variance (25.98)

σ² = population variance (claim value, 16.6)

Using the given values, we can calculate the test statistic:

χ² = (51 - 1) * 25.98 / 16.6

Determine the critical value:

The critical value for the chi-square test depends on the degrees of freedom and the significance level. Since we are testing a one-tailed hypothesis (σ² ≤ 16.6), we will use the lower tail of the chi-square distribution.

The degrees of freedom for the chi-square test of variance is given by (n - 1). In this case, it is 50 (51 - 1).

Using a chi-square distribution table or a calculator, you can find the critical value for α = 0.10 and 50 degrees of freedom.

Make a decision:

If the test statistic (χ²) is less than the critical value, we reject the null hypothesis. Otherwise, we fail to reject the null hypothesis.

Compare the test statistic (χ²) to the critical value. If χ² < critical value, reject the null hypothesis. Otherwise, fail to reject the null hypothesis.

Interpret the decision:

Based on the comparison of the test statistic and the critical value, you can determine whether to reject or fail to reject the null hypothesis.

If the null hypothesis is rejected, it provides evidence to support the alternative hypothesis. If the null hypothesis is not rejected, there is not enough evidence to support the alternative hypothesis.

Please note that I am unable to provide the exact critical value without access to a chi-square distribution table or calculator. However, by following the steps above, you should be able to perform the test and interpret the results using the provided information.

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Answer:

2.58

Step-by-step explanation:

The solution is, 52 ft is the perimeter of the base of the pyramid.

Here, we have,

Given that:

We have an pyramid with square base.

Area of base of the square pyramid = 169

To find:

Perimeter of the base of pyramid = ?

Solution:

First of all, let us have a look at the formula of area of a square shape.

Area = side * side

Let the side be equal to  ft.

Putting the given values in the formula:

169 = a^2

so, a = 13 ft

Now, let us have a look at the formula for perimeter of square.

Perimeter of a square shape = 4  Side

Perimeter = 4 * 13 = 52ft

The solution is, 52 ft is the perimeter of the base of the pyramid.

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complete question:

A pyramid has a square base with an area of 169 ft2. What is the perimeter of the base of the pyramid? A pyramid has a square base with an area of 169 ft2. What is the perimeter of the base of the pyramid?

Let:

x = number of dimes

y = number of quarters

She collected a total of 122 coins, so:

and a total of 21.50, so:

Let:

From (1):

Replace (3) into (2):

Replace the value of y into (3):

She collected 60 dimes and 62 quarters

Answer:D 120 degrees, F 60 degrees

Step-by-step explanation:

it is a parallelogram which means the 2 angles add up to 180 degrees. 5x+2x+12=180. Then solve, 7x=168, x=24. Then Substitute back into the angles. E is 5*24 which is 120. F is same as D which is 2x+12=60. Hope this helped

Answer:

Angle F = 60

Angle E = 120

Step-by-step explanation:

Angle E = Angle G whereas Angle D = Angle F

Angle D + Angle G = 180, Angle E + Angle F = 180

Angle D + Angle E + Angle F + Angle G = 360

In this case, it's Angle E and F. Keep in mind that Angle D is the same as Angle F so you can just do 5x + 2x+12 = 180.

Subtract 12 on both sides to get 168, so the equation is  5x + 2x = 168.

Add 5x and 2x to get 7x. Your final equation is 7x = 168

Divide 7 on both sides to get 24.

So x = 24

Now plug in x in for both angle equations so Angle F = 2(24) + 12 and you get 60.

For Angle E you plug in 5(24) and you get 120.

The probability that a three-  number integer is separable by 7 is 3/20or 0.15.

To determine the probability that a three-  number number is separable by 7, we need to count the number of three-  number integers that are separable by 7 and  also divide that number by the total number of three-  number integers.

First, we need to find the lowest three-  number integer that's separable by 7. We know that 14 is the  lowest two-  number integer separable by 7, so the  lowest three-  number integer that's separable by 7 will be the coming multiple of 7, which is 105.    

Next, we need to find the largest three-  number integer that's separable by 7. The largest three-  number integer is 999, and the largest multiple of 7 that's  lower than or equal to 999 is 994.    So, we need to count the number of integers that are separable by 7 between 105 and 994.

We can do this by using the formula for the number of integers in an  computation sequence  

number of integers = ( last term-first term)/ common difference  

In this case, the first term is 105, the last term is 994, and the common difference is 7, so we have  

number of integers = ( 994- 105)/ 7 1 =  135  

Thus, there are 135 three-  number integers that are separable by 7.    

The total number of three-  number integers is 900( from 100 to 999). So, the probability that a three-  number integer is separable by 7 is    probability =  number of integers that are separable by 7/ total number of three-  number integers  probability

=  135/ 900  probability =  3/ 20

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Work Shown:

f(x) = x^3 - x^2 + x - 1

f ' (x) = 3x^2 - 2x + 1

f ' (2) = 3(2)^2 - 2(2) + 1

f ' (2) = 9

In step 2, I used the power rule \(\frac{d}{dx}x^n = nx^{n-1}\)

Answer:

pi, and square root of 2

I don't think you're ACTUALLY going to give me brainliest

Answer:

252

Step-by-step explanation:

have a great day and thx for your inquiry :)

Answer:  1.5

Step-by-step explanation: 4.05x3=12.15

                                             2.75x4.5=12.375  

4.5-3=1.5

The time the ball stays in the air is approximately 2.29 seconds and the ball can be seen 2.1 seconds after its thrown.

c)To find the amount of time the ball stays in the air, we need to find when it hits the ground, i.e., when its height is equal to 0. So, we need to solve the equation:

-16t^2 + 801 + 30 = 0

By using the quadratic formula or factoring, we can find that:

t = sqrt((801+30)/(-16)) = sqrt(831/-16) = sqrt(52.0625) = 2.29 seconds

So, the ball stays in the air for approximately 2.29 seconds.

d) To find the interval of time the ball can be seen from the ground, we need to find when its height is greater than or equal to 100 feet. This can be determined by solving the inequality:

-16t^2 + 801 + 30 >= 100

Solving for t:

t >= sqrt((100-801-30)/(-16)) = sqrt((-701)/(-16)) = sqrt(44.0625) = 2.1 seconds

So, the ball can be seen from the ground for approximately 2.1 seconds after it's thrown.

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Answer:

250

Step-by-step explanation:

We can approximate that the scientists counted \(\frac{18}{30}=\frac{3}{5}\) of the elk.

So, the best estimate of the elk population is \(150(5/3)=250\).

Answer:1,250

Step-by-step explanation:

According to the information we can infer that Jim is currently 42 years old.

To calculate how old is Joyce now let's start by assigning variables to the unknown ages:

Using the information given in the problem, we can create two equations:

This means that Jim's age when Joyce was K years old is equal to J - K. According to the statement, J is now twice this age. So we can write:

This means that when Joyce is J years old, their ages will add up to 63. So we can write:

Now we have two equations with two variables. We can use substitution to solve for one of the variables:

We can substitute this expression for J in equation 2: 2K + K = 63, which simplifies to 3K = 63. Therefore, K = 21.

So Joyce is currently 21 years old. To find Jim's age, we can use equation 1 and substitute K = 21:

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Answer:

9.684925e-7

Step-by-step explanation:

Answer:

Let m∠BCE = x

Then m∠ACE = x as well since CE is bisecting ∠ACB.

Consider ΔBEC

Since BE = EC, the opposite angles are congruent:

Then:

Find the angle BEC:

Comparing the above we see that:

Answer:

x = 50 minutes

Step-by-step explanation:

GIven:

Container A contain = 800 mL

Container B contain = 1,000 mL

Container A leak = 6 mL per min

Container B leak = 10 mL per min

Computation:

Assume; in x minute

So,

800 - 6x = 1,000 - 10x

4x = 200

x = 50 minutes

Two two numbers whose difference is 88 and whose product is a minimum are -44 and 44.

Let the numbers be x and y where x is larger value and y is smaller number.

According to ques,

x - y =88

and we need to make product of numbers i.e 'xy' minimum.

So we can take x = 88 + y ------(2)

substituting value of x in xy, we get

(88 + y) (y) = y² + 88y ------(1) to make it minimum we need to equate its derivative equal to zero.

derivative of  (1) is 2y + 88

Equating it to zero, we get

2y + 88 = 0

subtracting 88 from both sides, we get

2y = -88

Dividing 2 from both sides, we get

y = -44 ------(3)

Substituting value of y from (3) in (2), we get

x = 88 - 44

x = 44

So, we get value of x as 44 and y as -44 to get their product as minimum.

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Answer:

Step-by-step explanation:

The rate of deflation of the hot-air balloon is 0.25 feet per minute. Let's represent the diameter of the balloon at any time t in minutes as D(t).

We know that D(0) = 14 feet (initial diameter) and we want to find x when D(x) = 8 feet.

Using the fact that the rate of change of D with respect to time is -0.25 (negative because the diameter is decreasing), we can set up a differential equation:

dD/dt = -0.25

Separating variables and integrating, we get:

∫(1/D) dD = ∫(-0.25) dt

ln|D| = -0.25t + C

where C is the constant of integration.

Using the initial condition D(0) = 14, we get:

ln|14| = C

C = ln(14)

Substituting this value of C into the equation, we get:

ln|D| = -0.25t + ln(14)

Taking the exponential of both sides, we get:

|D| = e^(-0.25t + ln(14)) = e^ln(14) e^(-0.25t) = 14 e^(-0.25t)

Since we are only interested in the positive value of D, we can drop the absolute value sign:

D = 14 e^(-0.25t)

Now we can solve for x by setting D = 8:

8 = 14 e^(-0.25x)

Dividing both sides by 14, we get:

e^(-0.25x) = 8/14 = 4/7

Taking the natural logarithm of both sides, we get:

ln(e^(-0.25x)) = ln(4/7)

-0.25x = ln(4/7)

x = -4 ln(4/7) / 0.25

x ≈ 6.21

Therefore, it will take about 6.21 minutes for the balloon to shrink to a diameter of 8 feet.

The diameter of the basketball is increasing at a rate of 0.24 inches per second when the radius is 1 inch.

Let's denote the radius of the basketball as r and the volume of the basketball as V. The volume of a sphere can be calculated using the formula V = (4/3)π\(r^3\).

Given that the basketball is being filled with air at a rate of 6 \(in^3\)/sec, we can write dV/dt = 6. Since the basketball is a perfect sphere, the radius and the diameter are related by the equation D = 2r, where D is the diameter.

To find how fast the diameter is increasing, we need to find dD/dt. Since D = 2r, we have dD/dt = 2dr/dt.

We can find dr/dt by differentiating the volume formula with respect to time. Taking the derivative of both sides of V = (4/3)π\(r^3\), we get dV/dt = 4π\(r^2\)(dr/dt).

Substituting the given value of dV/dt and the known value of r (1 inch), we can solve for dr/dt.

6 = 4π\((1^2)\)(dr/dt)

6 = 4π(dr/dt)

dr/dt = 6/(4π)

Finally, substituting this value into dD/dt = 2dr/dt, we get dD/dt = 2(6/(4π)) = 3/(2π) ≈ 0.477 inches per second.

Therefore, when the radius is 1 inch, the diameter of the basketball is increasing at a rate of approximately 0.477 inches per second.

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The stress function satisfies the conditions of compatibility for a two-dimensional problem.

Given stress function is 50x² - 60xy - 70y²

To determine whether the stress function satisfies the conditions of compatibility for a two-dimensional problem, it is required to find the strains and then check for compatibility equations.

Strain components are given as,

εx = ∂υ/∂x + (du/dx)

εy = ∂υ/∂y + (du/dy)

γxy = ∂υ/∂y + (du/dx)

Here,

υ = 50x² - 60xy - 70y²

du/dx = 100x - 60

ydu/dy = -60x - 140y

∂υ/∂x = 100x - 60y

∂υ/∂y = -60x - 140y

∂²υ/∂y² = -140

∂²υ/∂x² = 100

Now,εx = 100x - 60

yεy = -140y - 60

xγxy = -60y - 60x

Taking derivative of εy w.r.t x,

∂(εy)/∂x = -60

Similarly, taking derivative of εx w.r.t y,

∂(εx)/∂y = -60

∴ The stress function satisfies the conditions of compatibility for a two-dimensional problem.

Stress components are given as,

σx = (C11εx + C12εy)

σy = (C21εx + C22εy)

τxy = (C44γxy)

Here,C11 = C22 = 100, C12 = C21 = -60 and C44 = 0

Therefore,

σx = 100(100x - 60y) - 60(-140y - 60x)

= 19600x - 8800

yσy = -60(100x - 60y) + 100(-140y - 60x)

= -19600y + 8800x

τxy = 0

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The value of y in the equation 1/2 = 1/4y + 1/8y when solved is y = 4/3 .

A linear equation in one variable is defined as an equality between two expression either or both containing the variable .

The given expression can be written a linear equation of the form :

1/2 = 1/4y + 1/8y

Simplifying the equation we get :

y = 4 / 3

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