1. Correct the number 34.6149
3 decimal places
2 decimal places
1 decimal place


hi i need this numbee to convert to all the decimal places help me please ​

A radical equation is an equation that contains a variable within a radical expression.

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Answer:

the answer is 46% which is option d.

Step-by-step explanation:

To calculate Jim's DTI (debt-to-income) ratio, we need to divide his total monthly debt payments by his gross monthly income.

His total monthly debt payments are:

$2,500 (mortgage payment)

$250 (lease payment)

$500 (credit card payments)

$425 (speed boat payment)

Total Monthly Debt Payments = $2,500 + $250 + $500 + $425 = $3,675

His gross monthly income is his annual salary of $96,000 divided by 12 months which is $8,000

DTI = Total Monthly Debt Payments / Gross Monthly Income = $3,675 / $8,000 = 0.46 or 46%.

The value of Jim's DTI (debt-to-income) ratio is 40%.

Debt to income ratio is usually calculated as a percentage of the gross monthly debt payments divided by the gross monthly income.

Given that,

Annual salary = $96,000

Monthly income = 96000/12 = $8000

Total income per month = $8000 + $1,200 = $9,200

Monthly expenses = $2,500 + $250 + $500 +  $425

                               = $3675

DTI = 3675 / 9,200 = 0.399 = 39.9% ≈ 40%

Hence the DTI of Jim is 40%.

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The missing values are derived from the graph as follows:

3 ) 7, 14, 21, 28, 35

4) 3, 7, 10, 14, 17

5) 1, 21, 10, 49, 19

In mathematics, a graph is defined as a graphical representation or diagram that organizes facts or values. The graph's points frequently reflect the relationship between two or more objects.

In order to solve for the above values, the best way is to spot the function that exists in the graph which is given as:

F(y) = 3.5x

In the first table, where x = 2

y= 3.5 *2

= 7

This iteration goes on and on and is consistent for all the values.

In the second table,

Where F(y) is known, for example 10.5, then x is derived as:

10.5 = 3.5x (divide both sides by 3.5)

x = 3

This iteration goes on and on and is consistent for all the values.

In the third table, we simply swap the values back and forth using the function F(y) = 3.5x to derive all values.

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Answer:

Step-by-step explanation:

To find the indefinite integral ∫(x^6) dx by making a change of variables, we can let u = x^7. Then, we can express dx in terms of du using differentiation.

Differentiating both sides of the equation u = x^7 with respect to x, we get:

du/dx = 7x^6

dx = du / 7x^6

Substituting dx in terms of du in the integral, we have:

∫(x^6) dx = ∫(x^6) (du / 7x^6)

Simplifying the expression, the x^6 terms cancel out:

∫(x^6) dx = ∫(1 / 7) du

Now we can integrate with respect to u:

∫(1 / 7) du = (1/7) ∫ du

The indefinite integral of du is simply u, so we have:

(1/7) ∫ du = (1/7) u + c

Finally, substituting u back in terms of x, we get:

(1/7) u + c = (1/7) (x^7) + c

Therefore, the indefinite integral of x^6 dx, with the change of variables, is (1/7) (x^7) + c, where c represents the constant of integration.

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In order to find an area of a triangle we have to multiply the base by the height.

8.2*4.6=?

So now all we have to do is multiply to find our answer of 37.72!

The total amount you have paid from May 2014 to July 2022 is $75,319.86

= 96 + 2

= 98 months

Total amount paid from May 2014 to July 2022 = $768.57 × 98 months

= $75,319.86

The total amount paid so far from May 2014 to July 2022 is $75,319.86

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Solution:Given, the mean speed of the cars racing = 158.9 mph standard deviation = 6.7 mph

To find:What speed represents the 30th percentile for speeds of race cars at Talladega?

We need to find the z-score for the 30th percentile.From the standard normal distribution table, the z-score for the 30th percentile is -0.52.Using the formula for z-score we havez=(x-μ)/σwhere x is the speed of the carsμ is the mean speed = 158.9σ is the standard deviation = 6.7Substituting these values in the above equation we have-0.52=(x-158.9)/6.7Rearranging we get,x - 158.9 =\(-0.52 × 6.7x - 158.9 = -3.524x = 158.9 - 3.524x = 155.376\)The speed that represents the 30th percentile for speeds of race cars at Talladega is approximately 155.38 mph.

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Answer: look at the symbols <, > and <=, >=

Step-by-step explanation:

If the inequality is < or >, graph the equation as a dotted line. If the inequality is <= or >=, graph the equation as a solid line.

ANSWER:

STEP-BY-STEP EXPLANATION:

To complete the table, we substitute the value of x in the function, just like this:

Answer:

C=7

Step-by-step explanation:

Because it's a right angle in total we know the 2 expressions combined will equal 90.

(8c-5)+(6c-3)=90

Trevor and Kim will be situated 21 kilometers apart from each other at 1:30 PM. They will be separated by a distance of 21 km when the clock strikes 1:30 in the afternoon.

To determine at what time Trevor and Kim will be 21 km apart, we can set up a distance-time equation based on their relative speeds and distances.

Let's assume that t represents the time elapsed in hours since noon. At time t, Trevor would have traveled a distance of 8t km, while Kim would have traveled a distance of 6t km in the opposite direction.

Since they are running in opposite directions, the total distance between them is the sum of the distances they have traveled:

Total distance = 8t + 6t

We want to find the time when this total distance equals 21 km:

8t + 6t = 21

Combining like terms, we have:

14t = 21

To solve for t, we divide both sides of the equation by 14:

t = 21 / 14

Simplifying, we find:

t = 3 / 2

So, they will be 21 km apart after 3/2 hours, which is equivalent to 1 hour and 30 minutes.

Therefore, Trevor and Kim will be 21 km apart at 1:30 PM.

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Answer:

Step-by-step explanation:

$0.11

per ounce

1.32/12=0.11!!

Answer:   1.21

Since we know that $1.32 is 12 ounces all we need to do is figure out how much is in each ounce which is "0.11", so this means for each unit equals to "0.11" so

0.11 x 11=1.21 ounces            Good luck!

To create the 90% confidence interval for the average speeds on his road journey, Keith should utilise t* 1.943.

To construct a confidence interval for the mean of a sample, Keith needs to use the t-distribution with a degree of freedom equal to one less than the sample size.

Since Keith has seven days of data, the degrees of freedom (df) is

= 7 - 1

= 6.

A 90% confidence interval corresponds to a 95% confidence level, as the remaining 5% is divided evenly between the two tails of the t-distribution.

The value of t* for a 90% confidence level and 6 degrees of freedom is 1.943.

So, Keith should use t* ≈ 1.943.

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Answer:

c. 19

Step-by-step explanation:

\((2^{5}-4)-3(2+1)\)

(32-4) - (6+3)

28 - 9 = 19

Answer:  The correct answer is c. 19

$8.00 is how much you will save

Answer:

you will save 8$ and the price will be $32

Answer:

28 oz

Step-by-step explanation:

First, find the total amount of water that was drank.

7 × 16 oz = 112 oz total

Then, divide this by 4 to get the amount per one serving.

112 oz / 4 = 28 oz per serving

i just multiply the 0.31 by the number of days in September to get the average  

Answer:

f(x) = -x^2 -6x - 1

Step-by-step explanation:

Answer:

y=-x^2-6x-1

Step-by-step explanation:

f(x)=-(x+3)^2+8

f(x)=-(x+3)(x+3)+8

f(x)=-(x^2+3x+3x+9)+8

f(x)=-x^2-3x-3x-9+8

f(x)=-x^2-6x-9+8

f(x)=-x^2-6x-1

y=-x^2-6x-1

The probability of rolling a number greater than 3 is equal to

   --> # of numbers greater than 3 / total # of numbers on the dice

   --> \(\frac{3}{6} =\frac{1}{2}\)

There the probability of rolling a number greater than 3 is 1/2

Hope that helps!

The given statement mathematical and statistical tools give us many ways to rate the overall performance of a system and its components is True.

Mathematical and statistical tools provide various methods to assess and evaluate the performance of a system and its individual components. These tools enable quantitative analysis , modeling , prediction , and inference , allowing us to measure and interpret the effectiveness , efficiency, reliability, and other relevant characteristics of systems and their components.

Examples of such tools include statistical analysis, regression analysis, hypothesis testing, optimization techniques, control charts, simulation, and more.

Therefore, the given statement is true.

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Complete question is below

Mathematical and statistical tools give us many ways to rate the overall performance of a system and its components.

true or false

By identifying and minimizing these uncertainties, it is possible to improve the accuracy of the data and obtain more reliable results.

Experimental uncertainties refer to the errors or variations that may occur in the process of conducting an experiment. There are several sources of experimental uncertainties that can affect the accuracy of the data, specifically:

1. Instrument uncertainties: These uncertainties arise from the limitations of the instruments used in the experiment. For example, if a measuring device has a limited resolution or if it is not properly calibrated, it can lead to inaccuracies in the measurements.

2. Operator uncertainties: These uncertainties arise from the variations in the way different people conduct the experiment. For example, if different people are measuring the same quantity, they may have different techniques, which can lead to variations in the measurements.

3. Environmental uncertainties: These uncertainties arise from the variations in the environment in which the experiment is conducted. For example, if the temperature or pressure of the environment changes during the experiment, it can affect the measurements.

Each of these sources of experimental uncertainties can affect the accuracy of the data by introducing errors or variations in the measurements. By identifying and minimizing these uncertainties, it is possible to improve the accuracy of the data and obtain more reliable results.

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By applying the law of cosine, the length of side BM is equal to 7.05 cm..

A polygon can be defined as a two-dimensional geometric shape that comprises straight line segments and a finite number of sides. Also, some examples of a polygon include the following:

Note: The number of sides (n) of a pentagon is 5.

In Geometry, the interior angle of both a regular and irregular polygon is given by this formula:

Interior angle = 180 × (n - 2)/n

Interior angle = 180 × (5 - 2)/5

Interior angle = 180 × 3/2

Interior angle = 108°.

For the central angle, we have:

Central angle, O = 360/5

Central angle, O = 72°.

By applying the theorem of intersecting secants, angle OCB will be given by this formula:

<OCB = ½ × (180 - 72)

<OCB = ½ × 108

<OCB = 54°.

In order to determine the length of side BM, we would apply the law of cosine:

cos(θ) = Adj/Hyp

cos54 = BM/12

BM = 12 × cos54

BM = 12 × 0.5878

Side BM = 7.05 cm.

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∂v⃗ ∂t+(v⃗ ⋅∇⃗⃗) v⃗ +1ρ∇⃗ p=g. The viscosity leads to frictional forces within the fluid. Taking the viscosity into account in the Euler equation finally leads to the Navier-Stokes equation.

For the derivation of the Navier-Stokes equations we consider a fluid element and the forces acting on it. At first we will consider only the motion of the fluid in x-direction. The motion of the fluid element is influenced by the pressure forces acting on the front and back surface of the cubic volume element.

    These pressure forces basically represent normal stresses and are therefore denoted in the following by the Greek symbol σ instead of p. We will see later that in addition to the pressure forces, viscosity-related forces also act perpendicular to the surfaces and contribute to the normal stress.

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Answer:

0.5 minutes

Step-by-step explanation:

Since we are provided the equation and the current height of the candle (which would be 25 inches) we can simply replace this current height with the variable h and then solve the rest of the equation to find out the value of m when the height of the candle is at 25 inches.

h = 32−14m

25 = 32−14m ... subtract both sides by 32

-7 = -14m ... divide both sides by -14

0.5 = m

Finally, we can see that after 0.5 minutes the candle would have melted down to 25 inches.

Answer:

322,623 < 322,951

Step-by-step explanation:

322,623 is graeter than 322,951. If the numbers before the comma are the same, compare the decimals: 623 < 951

Hope this helps :))

Answer:

Bionic Woman wins by 4 seconds.

Step-by-step explanation:

Given:

Speed of Batman = 3 km/min

Speed of Bionic woman = 5 km/min

Total distance = 2 km

Start given to Batman = 12 seconds

To find:

Winner of the race and by how many seconds?

Solution:

Start given to Batman = 12 second start

Let us find the Distance traveled by Batman in 12 second.

12 seconds = \(\frac{1}{5}\) minutes

\(Distance = Speed \times Time\)

\(Distance = 3 \times \frac{1}{5} = 0.6\ km\)

Hence, distance left for batman to be traveled = 2 - 0.6 = 1.4 km

Time taken by Batman = \(\frac{1.4}{3} \times 60\) seconds = 28 seconds

Distance for Bionic woman to be traveled = 2 km with 5 km/min

Time taken by Bionic Woman = \(\frac{2}{5}\) minutes = 24 seconds

Bionic woman is taking lesser time, So the winner of the race will be Bionic woman.

She will win by 28-24 = 4 seconds

So, answer is:

Bionic Woman wins by 4 seconds.

Answer:

m = -11/7

n = -8/7

Step-by-step explanation:

Here, what we want to calculate is the coordinates of the point B

Let’s consider the straight line as A B C

we can see that actually, the point B divides the line into the ratio 2:5 since AB:AC is 2:5

Thus, by using the internal division formula (section formula) with the ratio of division, we can get the coordinates of point B

Mathematically, the formula for internal division is given as follows;

B = ( (mx2 + nx1) /m + n , (my2 + ny1)/( m + n))

From the question;

m:n = 2:5

Thus m = 2, n = 5

(x1,y1) are coordinates of A

x1 = -3 , y1 = -4

(x2, y2) are coordinates of C

x2 = 2 , y2 = 6

Thus, substituting these values into the equation we have;

B ={ 2(2) + 5(-3)}/(2+5) , {2(6) + 5(-4)}/(2+5)

B = (-11/7, -8/7)