Solve for x. −−9x+5<17 AND13x+25<−1

Answer:

Step-by-step explanation:

Its simple, you need to find x

4 days the same amount of time (x) gives 48 min
4x = 48

x = 48/4

x = 12

then to get the amount of minutes in 9 days it would be:

9x=days

9(12)=108

the answer would be 108 min

Answer:

108 mins

Step-by-step explanation:

48 mins/4 days = x mins/9 days

4x= 432

x=108 mins

Answer:

False.

Step-by-step explanation:

A integer in math is defined as a whole number. Therefore, the presence of fractions (which, in this case, is 1/2) and decimals, would mean that the term is in fact, not a integer.

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The probability that a red shirt and black slacks are on the floor is 1/10.

Probability is the odds that a random event would happen. The odds that the event would happen has a probability value that lies between 0 and 1.

Probability that a red shirt and black slacks are on the floor = (number of red shirts / total number of shirts) x (number of black slacks / total number of slacks)

Total number of shirts = 2 + 2 + 1 = 5

Total number of slacks = 1 + 1 = 2

(1/5) x (1/2) = 1 /1 0

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The solution of the trigonometric problem is  y = -3

Starting with the equation

3/2 cos^-1(y/6) = pi

First, we can simplify by dividing both sides by 3/2 ....

cos^-1(y/6) = pi / (3/2)

cos^- 1(y/6) = 2pi / 3

Next, we can take the cosine of both sides to get...

cos (cos^-1(y/6 ) )

= cos( 2pi/3)

y/6 = -1/2

y = -3

Therefore, the exact solution to the equation 3/2 cos^-1(y/6) = pi is y = -3.

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The Length of the arc in the circle shown is calculated to one decimal place, in terms of pi, as approximately 3.6π cm.

The length of an arc in a given circle can be calculated by applying the formula as expressed below:

Length of arc (s) = ∅/360 * 2πr, where:

Reference angle = ∅

Radius of the circle = r.

Given the parameters:

Radius (r) = 16 cm

Reference angle (∅) = 40 degrees.

Plug in the values:

Length of the arc (s) = 40/360 * 2 * π * 16

Length of the arc (s) = 3.6π cm

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Answer:

To calculate the length of the minor arc AB in terms of pi, you need to know the measure of the central angle that intercepts the arc and the radius of the circle. Do you have that information?

Step-by-step explanation:

The cost of each admission tickets is 37.5 dollars.

Ms Boi spent a total of 175 dollars for 4 admission ticket and for parking at a baseball game. The cost of each admission ticket was the same amount, including tax. The cost of the parking was 25 dollars.

Therefore, the equation that can be use to determine the cost, i of each admission ticket can be represented as follows:

Therefore,

175 = 4i + 25

subtract 25 from both sides of the equation

175 = 4i + 25

175 - 25 = 4i + 25 - 25

150 = 4i

divide both sides by 4

i  = 150 / 4

i = 37.5 dollars

Therefore,

cost of each admission ticket = 37.5 dollars

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The interquartile range of the data will be 0.215.

The lower half is:

7.86, 7.87, 7.99, 8.03

The median of the lower half is:

(Q1) = (7.87 + 7.99) / 2 = 7.93

The upper half is:

8.06, 8.08, 8.09, 8.20, 8.43

The median of the upper half is:

(Q3) = (8.09 + 8.20) / 2 = 8.145

The IQR is the difference between the third and first quartiles:

IQR = Q3 - Q1 = 8.145 - 7.93 = 0.215

Lower outlier threshold: Q1 - 1.5 x IQR = 7.93 - 1.5 x 0.215 = 7.5955

Upper outlier threshold: Q3 + 1.5 x IQR = 8.145 + 1.5 x 0.215 = 8.4795

None of the data points fall outside these thresholds, so there are no outliers in this data set.

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The team made approximately 773 runs in the match.

Let's start by setting up an equation to represent the information given in the problem.

Let's call the total runs made by the team "T".

37% of T = 286

To solve for T, we can start by converting the percentage to a decimal:

37% = 0.37

0.37T = 286

Now we can solve for T by dividing both sides of the equation by 0.37:

T = 286 ÷ 0.37

T ≈ 773.0

Therefore, the team made approximately 773 runs in the match.

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Answer:

Step-by-step explanation:

This is a word problem involving percentages. To solve it, we need to follow these steps:

Identify the given information and the unknown quantity. In this problem, we are given that Natalie has $330 to spend at the amusement park, 5% is spent on games, 5/11 is for food and drinks, and she spends $13 on parking. The unknown quantity is the price of one ticket.

Write an equation that relates the given information and the unknown quantity. We can use the fact that the sum of all parts of the whole is 100%1. Let x be the price of one ticket. Then we have:

games+food and drinks+parking+tickets0.05×330+115​×330+13+2x​=total amount=330​

Solve the equation for the unknown quantity. We can simplify and rearrange the equation to get:

16.5+150+13+2x2x2xxx​=330=330−16.5−150−13=150.5=2150.5​=75.25​

Therefore, the price of one ticket is $75.25.

The sum of any matrix with the identity matrix of the same size, with respect to addition, will give the matrix itself. Therefore, the sum of matrix A and B, where B is the identity matrix, will give the matrix A.

The estimate of the cost for a 20-ft cord is given as follows:

$74.66.

To find the regression equation, which is also called called line of best fit or least squares regression equation, we need to insert the points (x,y) in the calculator.

The points in the context of the problem are given as follows:

(3, 12.75), (5, 16), (6, 25.99), (50, 185).

Inserting these points into a calculator, the regression equation is given as follows:

y = 3.6794x + 1.06462.

Hence the estimate of the cost for a 20-ft cord is given as follows:

y = 3.6794(20) + 1.06462

y = $74.66.

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Answer:

f(x) = x^3 - x^2 + 16x - 16

Step-by-step explanation:

If a polynomial has the zeros 1, 4i, and -4i, then it must have the factors (x - 1), (x - 4i), and (x + 4i). This is because a factor of (x - a) produces a root of x = a.

To find the polynomial, we can multiply these factors together:

(x - 1)(x - 4i)(x + 4i)

= (x - 1)(x^2 - (4i)^2)

= (x - 1)(x^2 + 16)

= x^3 + 16x - x^2 - 16

So the polynomial function in standard form with real coefficients whose zeros include 1, 4i, and -4i is:

f(x) = x^3 - x^2 + 16x - 16

The correct option regarding which bus has the least spread among the travel times is given as follows:

Bus 14, with an IQR of 6.

To obtain measures of spread, we can use the dot plot to visualize the frequency of each observation in the data-set, and then calculate the interquartile range (IQR).

For a group of 15 students, we can find the quartiles as follows:

The first quartile (Q1) is the median of the first half of the data-set, which consists of the first seven students.

Looking at the dot plot, the fourth dot represents the median of the first half. For Bus 14, Q1 = 12. For Bus 18, Q1 = 9.

The third quartile (Q3) is the median of the second half of the data-set, which consists of the last seven students. Looking at the dot plot, the eleventh dot represents the median of the second half. For Bus 14, Q3 = 18.

For Bus 18, Q3 = 16.

We can then calculate the IQR as the difference between Q3 and Q1:

For Bus 14, IQR = Q3 - Q1 = 18 - 12 = 6.

For Bus 18, IQR = Q3 - Q1 = 16 - 9 = 7.

Based on the IQR values, we can conclude that Bus 14 is more consistent than Bus 18, as it has a lower IQR.

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The quadratic equation is solved and discriminant is 5, so it has two real solutions

Given data ,

The given equation is a quadratic equation in the standard form ax² + bx + c = 0, where a = 1, b = -1, and c = -1

The discriminant of a quadratic equation is given by b² - 4ac. So, the discriminant of the given equation is

(-1)² - 4(1)(-1) = 1 + 4 = 5

Since the discriminant is positive (not zero or negative), the equation has two real solutions.

Hence , its discriminant is 5, so it has two real solutions

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We can see that the percentage is 20%, then 20 percent of the students got a 10.

To find this, we need to use the formula:

Percentage = 100%(number of students with a 10)/(total number of students)

Here we know the that the revelant numbers are:

Number of students with a 10 = 12

total number of students in the class = 60

Replacing that in the formula we will get the percentage:

P  = 100%*(12/60)

P = 20%

So 20% of the total number of students got a 10.

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we should expect 4 white horses among the next 20 horses that come to board. we can solve by equation .

what is equation ?

An equation is a mathematical statement that uses symbols and variables to show that two expressions are equal. It typically consists of two sides separated by an equal sign (=). The expressions on each side of the equal sign can contain variables, constants, and mathematical operations such as addition

In the given question,

Out of the 15 horses currently boarded, 3 are white. This means that the proportion of white horses among the currently boarded horses is:

3 / 15 = 0.2 or 20%

Therefore, if we assume that the next 20 horses that come to board will have a similar distribution of coat colors, we can expect approximately 20% of them to be white.

So, the expected number of white horses among the next 20 horses that come to board is:

20 x 0.2 = 4

Therefore, we should expect 4 white horses among the next 20 horses that come to board.

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The value of the expression 5w–4w–w+6w is 6w

When you simplify an expression, you're basically trying to write it in the simplest way possible. At the end, there shouldn't be any more adding, subtracting, multiplying, or dividing left to do.

For example, 2( 3a+5) can be simplified by using 2 to multiply both 3a and 5. This will give 6a+10. This means that the simplification of 2(3a+5) = 6a+10.

Similar , 5w-4w-w+6w can be simplified into:

5w+6w-4w-w

= 11w-5w

= 6w.

Therefore,the value of the expression 5w–4w–w+6w is 6w

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The equation 5ʷ ⁺ ³ = 17 when solved for w is approximately w = 0.41 and the solution to the inequality is b ≤ 1.87

From the question, we have the following parameters that can be used in our computation:

5ʷ ⁺ ³ = 17

Take the logarithm of both sides

So, we have

w + 3 = ln(17)/ln(3)

Evaluate the quotient

This gives

w + 3 = 2.59

So, we have

-3 + w + 3 = 2.59 - 3

Evaluate

w = 0.41

For the second expression, we have

2ᵇ ⁺ ¹ ≤ 7.31

Take the logarithm of both sides

So, we have

b ≤ ln(7.31)/ln(2) - 1

So, we have

b ≤ 1.87

Hence, the equation when solved for w is approximately w = 0.41

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Keyboards A and B are significantly different from one another

The F ratio has been found to be 4.30, equating to the MS between treatments divided by MS error resulting in a value of 2082/484. In order to seek out the critical value for F at an alpha level of 0.05 within degrees of freedom between treatments (2) and degrees of freedom error (3), we must consult the F-table, revealing it to be 5.14.

We reach the conclusion that rejecting the null hypothesis would not prove necessary as there appears to be no great significance when it comes down to the number of errors made with the three concerned keyboards.

Tukey's HSD signifies 2.0, indicating any distinction of means exceeding such scores is considered noteworthy. Calculating pairwise comparisons can enlighten us as to which keyboards are significant from one another:

Comparing Keyboard A versus Keyboard B: The difference was calculated using |25-6| / ✓(484/6*(1/6+1/6)) = 3.03, determining its significance surpassing Tukey's HSD (2.0).

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The appropriate measure of variability for the data shown and its value is A. The range is the best measure of variability and equals 600.

The range is one of  the three measures of variability.

The range shows the difference between the highest value and the lowest value in a data set.

The other measures of variability are the IQR (Interquartile Range) and the the Standard Deviation.

Highest value = 800 m

Lowest value = 200 m

The range = 600 m (800 - 200)

IQR = 400 (600 - 200)

Mean = 567 (3,400 ÷ 6)

Median = 625 [(650 + 600) ÷ 2]

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Therefore, the width of the bridge is approximately 5.9 feet. Therefore, the height of the bridge is approximately 8.4 feet. Therefore, the length of CH is approximately 36.9 feet. Therefore, the measure of angle BHC is approximately 189 degrees. Therefore, the answer to part (e) is no.

A triangle is a closed, two-dimensional shape with three straight sides and three angles. It is one of the basic shapes in geometry, and is formed by connecting three non-collinear points. The sum of the interior angles of a triangle is always 180 degrees, and there are several types of triangles including equilateral, isosceles, and scalene.

Here,

To solve this problem, we will use the fact that AAGC is congruent to AEGC. This means that angle ACG is equal to angle AEC, and angle AGC is equal to angle AEG.

(a) To determine the width AE of the bridge, we can use the tangent function. We have:

tan(27°) = AE/12

Solving for AE, we get:

AE = 12 tan(27°) ≈ 5.9 ft

(b) To determine the height CG of the bridge, we can use the same approach. We have:

tan(36°) = CG/12

Solving for CG, we get:

CG = 12 tan(36°) ≈ 8.4 ft

(c) To determine the length of CH, we can use the Pythagorean theorem. We have:

CH² = CG² + GH²

Substituting the values we found earlier, we get:

CH² = (8.4 ft)² + (40 ft - 5.9 ft)²

CH² = 70.56 ft² + 1288.41 ft²

CH² = 1358.97 ft²

Taking the square root, we get:

CH ≈ 36.9 ft

(d) To determine the measure of angle BHC, we can use the fact that angles AGC and AEG are congruent. We have:

angle BHC = 180° - angle AHC - angle CHB

angle AHC = angle ACG - angle HCG = 27° - 36° = -9° (note that this is a negative angle because it is measured clockwise)

angle CHB = angle CGB - angle HCG = 36° - 36° = 0°

Substituting these values, we get:

angle BHC = 180° - (-9°) - 0°

angle BHC = 189°

(e) To determine whether CH bisects angle ZACG, we need to show that angle CAH is congruent to angle CAG. We have:

angle CAH = 180° - angle HCG - angle ACG

= 180° - 36° - 27°

= 117°

angle CAG = 180° - angle ACG - angle AGC

= 180° - 27° - 27°

= 126°

Since angle CAH is not congruent to angle CAG, we can conclude that CH does not bisect angle ZACG.

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Step-by-step explanation:

Please it would be very helpful and useful if you try to use a calculator. Good luck.

Applying the Intersecting Secants and Tangents Theorem, the measures are: CD = 19.5 units;     UZ = 12.8 units

a. Apply the intersecting secant-tangent theorem to create the equation below:

EG² = EC * ED

Plug in the values:

13² = 6.5 * (6.5 + CD)

169 = 42.25 + 6.5CD

169 - 42.25 = 6.5CD

126.75/6.5 = CD

CD = 19.5 units

b. Apply the intersecting secants theorem to create the equation below:

UX * UY = UZ * UW

Plug in the values:

8 * 64 = UZ * 40

512/40 = UZ

UZ = 12.8

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Answer:

$10,359.73.

Step-by-step explanation:

We can use the formula for compound interest:

A = P(1 + r/n)^(nt)

where:

A = the amount of money after the specified time

P = the principal amount (the initial amount of money)

r = the annual interest rate (as a decimal)

n = the number of times the interest is compounded per year

t = the time (in years)

In this case, we have:

P = $4,000.00

r = 15% = 0.15

n = 1 (compounded annually)

t = 6 years

Substituting into the formula, we get:

A = 4000(1 + 0.15/1)^(1*6)

A = 4000(1.15)^6

A ≈ $10,359.73

Therefore, the amount in the account after 6 years, rounded to the nearest cent, is $10,359.73.

The statement that is true about the given circle equation is:

Option A: The circle is centered at (−6, 3) and has a radius of 11.

The standard form for finding the equation of a circle is given by the expression:

(x - h)² + (y - k)² = r²

where:

(h, k) represents the coordinates of the center of circle

r represents the radius of the circle

We are given the equation of the circle as:

(x - 6)² + (y - 3)² = 121

Now, 121 can also be written as 11². Thus, the equation of the circle can be rewritten as:

(x - 6)² + (y - 3)² = 11²

Comparing with the standard form of equation of a circle gives:

Coordinates of center = (-6, 3)

Radius = 11

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The graphed line of the equation is attached 2x + 3y = -6

A linear equation is an expression that consists of a single power of the variable(s) in which it contains. This formulation can be impeccably illustrated in the following way:

ax + b = 0

The given equation 2x + 3y = -6 can be rearranged to get

y = -2/3x - 2

The x variables is plugged in to solve for y and used for the table of values for the graph

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The equation in slope-intercept form for the line that has slope of -2/5 and y-intercept of -4 is written as: y = -2/5x - 4.

The slope-intercept form for any given straight line or linear relationship can be expressed as y = mx + b, where:

m = slope of the line

b = the y-intercept

Given the following:

slope (m) = -2/5.

y-intercept (b) = -4

To write the equation, substitute m = -2/5 and b = -4 into y = mx + b:

y = -2/5x - 4

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