graphing radical functions

Answer:

\(x = 45\)

Step-by-step explanation:

collect like terms

\(4x + 180 = 360\)

move the constant

\(4x = 360 - 180\)

calculate

\(4x = 180\)

divide by 4

X = 45

Answer: 37.5%

Step-by-step explanation:

There are 8 separate area

and among them are 3 Cs.

Thus the probability is

⅜ times 100 = 37.5 (%)

Answer:

A = 32

Step-by-step explanation:

A = ½ (a + b) h

A = ½ (3 + 10) 4

A = (3+5)4

A = (8)4

A = 32

Answer: -19,21

Step-by-step explanation:

\(f(x)=-4x-7\\f(3)=-4*3-7\\f(3)=-12-7\\f(3)=-19\\And,\\f(-7)=-4*(-7)-7\\f(-7)=28-7\\f(-7)=21\)

The amount of money he will have in the account is $922.46

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

Principal, P = 594

Rate , r = 4.5%

TIme = 10 years

Teh amount of money is calcilated s

Amount =  P * (1 + r)^t

substitute the known values in the above equation, so, we have the following representation

Amount = 594 * (1 + 4.5%)^10

Evaluate

Amount = 922.46

Hence, the amount is $922.46

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a) The probability that there will be an accident on Highway 48 today is 0.36%.

b) The probability that the weather today was wet given that there was an accident on Highway 48 is approximately 55.56%.

a) To find the probability that there will be an accident on Highway 48 today, we need to consider both the probability of an accident when it's dry and when it's wet, and the probability of each type of weather. We can use the formula: P(A) = P(A|B) × P(B) + P(A|B') × P(B'), where A represents an accident, B represents wet weather, and B' represents dry weather.
P(A) = P(Accident|Wet) × P(Wet) + P(Accident|Dry) * P(Dry)
P(A) = (0.01) × (0.2) + (0.002) × (0.8)
P(A) = 0.002 + 0.0016
P(A) = 0.0036
b) To find the probability that the weather was wet given that there was an accident on Highway 48, we can use Bayes' theorem: P(B|A) = (P(A|B) × P(B)) / P(A)
P(Wet|Accident) = (P(Accident|Wet) × P(Wet)) / P(Accident)
P(Wet|Accident) = (0.01 × 0.2) / 0.0036
P(Wet|Accident) = 0.002 / 0.0036
P(Wet|Accident) = 0.5556

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La temperatura del aire medida con un termómetro de máximo-mínimo se puede usar para mostrar la diferencia de temperatura durante un período de tiempo, generalmente un día. La diferencia entre el máximo diario y el mínimo diario se denomina rango diurno.

haga clic en las estrellas y haga clic en gracias

por favor responde esta pregunta

¿Por qué la línea es el rey de la jungla?

The measure of angle x in the right triangle is approximately 14.6 degrees.

The figure in the image is that of two right angles.

First, we determine the hypotenuse of the left-right angle.

Angle θ = 30 degrees

Adjacent to angle θ = 10 cm

Hypotenuse = ?

Using the trigonometric ratio.

cosine = adjacent / hypotenuse

cos( 30 ) = 10 / hypotenuse

hypotenuse = 10 / cos( 30 )

hypotenuse = \(\frac{20\sqrt{3} }{3}\)

Using the hypotenuse to solve for x in the adjoining right triangle:

Angle x =?

Adjacent to angle x = \(\frac{20\sqrt{3} }{3}\)

Opposite to angle x = 3

Using the trigonometric ratio.

tan( x ) = opposite / adjacent

tan( x ) = 3 / \(\frac{20\sqrt{3} }{3}\)

tan (x ) = \(\frac{3\sqrt{3} }{20}\)

Take the tan inverse

x = tan⁻¹(  \(\frac{3\sqrt{3} }{20}\) )

x = 14.6 degrees

Therefore, angle x measures 14.6 degrees.

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Answer:

The two consecutive even integers = (4, 6)

Step-by-step explanation:

We are asked in the question to find two consecutive even integers such that 5 times their sum is 26 more than their product.

Two consecutive even integers is represented as: x, x + 2

Five times their sum is 26 more than their products

5( x + x + 2) = [x × (x + 2)] + 26

5( 2x + 2) = (x² + 2x) + 26

10x + 10 = (x² + 2x ) + 26

x² + 2x + 26 - 10x - 10 = 0

x² - 8x + 16 = 0

We factorise

x² - 4x - 4x + 16 = 0

(x² - 4x) -(4x + 16) = 0

x(x - 4) -4(x - 4) = 0

(x - 4)(x - 4) = 0

(x - 4)²

Hence

x - 4 = 0

x = 4

Since, we know that two consecutive even integers = (x , x + 2)

First even integer = x = 4

Second even integer = x + 2 = 4 + 2

= 6

Therefore, the two consecutive even integers = (4, 6)

Answer:

VX

Step-by-step explanation:

The ordered pair which is a solution to the given linear equation is (-5, -4)

Linear equations are equations that has a leading degree of 1. The standard linear equation is given as Ax + By = C.

Given the linear equation below;

-2x+9y=-26

We need to determine the ordered pair that gives a solution to the linear expression.

For the coordinate point (4, 4)

-2(4) + 9y = -26

9y = -26 + 8

9y = -18

y = -18/9 = -2

This shows that (4, 4) is not a solution.

For the coordinate point (-4, -4)

-2(-4) + 9y = -26

9y = -26 - 8

9y = -34

y = -34/9

This shows that (-4, -4) is not a solution.

For the coordinate (-5, -4)

-2(-5) + 9y = -26

9y = -26 - 10

9y = -36

y = -4

This shows that (-5, -4) is a solution of the linear equation.

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So both gym subscriptions will be the same price after six months, which works out to $720.

An equation in mathematics is a declaration that demonstrates the equality of two expressions, typically denoted by the equal symbol (=). It is possible to use numbers, variables, operations, functions, and other mathematical items in the expressions on either side of the equal sign. For instance, the formula 3x + 5 equals 14 is demonstrated by the equation 3x + 5 = 14. The variable in this equation that we can answer for is x. Finding the value(s) of the quantity that causes the equation to be true is the definition of solving an equation. By first subtracting 5 from both sides, then reducing both sides by 3, we can find x in this situation:

3x + 5 = 14

3x = 9 , x = 3

given

Let's use y to represent the overall cost of the gym membership and x to represent the number of months. Then, for each school, we can create an equation system by writing:

y = 80x Plus 240 at Mickey's Gym

y Equals 120x + 460 at Tony's Gym

We can make the two equations equal to one another to determine the point at which both memberships will be equally priced:

80x + 240 = 120x + 460

80x is subtracted from both lines to yield:

240 = 40x + 460

The result of deducting 460 from both parts is:

-220 = 40x

40 divided by both parts results in:

x = -5.5

Because we cannot have a negative amount of months, this result is illogical. We must therefore review our efforts.

A different approach is to enter different numbers of x into both equations and check to see if the result for y is the same.

Let's attempt the second strategy. Adding x = 4 to both formulae results in:

y = 80(4) + 240 Equals 560 at Mickey's Gym

x = 120(4) + 460 = 940 at Tony's Gym

Costs have not yet been equalized. Try it with x = 5:

y = 80(5) + 240 = 640 at Mickey's Playground

y = 120(5) + 460 = 1060 at Tony's Gym

Not the same anymore. Try it with x = 6:

y = 80(6) + 240 = 720 at Mickey's Playground

y = 120(6) + 460 = 1180 at Tony's Gym

Last but not least, both expenses equal out to $720 when x = 6 months. Consequently, six months later both exercise

So both gym subscriptions will be the same price after six months, which works out to $720.

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Answer:

c) x = 1 ± i √29 / 5​

Step-by-step explanation:

assuming we are solving for x we can use the quadratic formula

quadratic formula : \(\frac{-b+or-\sqrt{b^2-4(a)(c)} }{2(a)}\)

where the values of a,b and c are derived from the equation

the equation is put in quadratic form : ax² + bx + c

so in 5x² -2x + 6 a = 5 , b = - 2 and c = 6

we then plug these values of a, b and c into the quadratic formula

recall quadratic formula \(\frac{-b+or-\sqrt{b^2-4(a)(c)} }{2(a)}\)

a = 5 , b = - 2 , c = 6

\(\frac{-(-2)+or-\sqrt{(-2)^2-4(5)(6)} }{2(5)}\)

remove parenthesis at -(-2) to get positive 2 because the negative signs cancel out

\(\frac{2+or-\sqrt{(-2)^2-4(5)(6)} }{2(5)}\)

evaluate exponent

\(\frac{2+or-\sqrt{4-4(5)(6)} }{2(5)}\)

multiply -4(5)(6)

\(\frac{2+or-\sqrt{4-120} }{2(5)}\)

subtract 120 from 4

\(\frac{2+or-\sqrt{-116} }{2(5)}\)

multiply 2 and 5

\(\frac{2+or-\sqrt{-116} }{10}\)

because we cant have a negative square root we replace the negative sign with i (which equals -1 )  and add it to the outside of the square root

\(\frac{2+or-i\sqrt{116} }{10}\)

we then simplify  the radical

\(\frac{2+or-2i\sqrt{29} }{10}\)

we then simplify the fraction

2/10 = 1/5 so both 2's cancel out

\(\frac{1+or-i\sqrt{29} }{10}\)

the answer is C

Answer:

760

Step-by-step explanation:

19 x 40 = 760

The pollster should survey 2627 voters in order to be 96 percent confident that the true proportion of U.S. voters opposing capital punishment is estimated to within 0.02.

To determine the sample size needed for estimating a proportion, we can use the formula:

n = (Z^2 * p * q) / E^2

where:

n is the sample size

Z is the z-value corresponding to the desired confidence level (96 percent confidence corresponds to a z-value of approximately 1.75)

p is the estimated proportion (since we don't have an initial estimate, we can assume a conservative estimate of 0.5)

q is 1 - p (complement of the estimated proportion)

E is the desired margin of error (0.02)

Plugging in the values, we have:

n = (1.75^2 * 0.5 * 0.5) / 0.02^2

n ≈ 2627

Therefore, the pollster should survey 2627 voters in order to be 96 percent confident that the true proportion of U.S. voters opposing capital punishment is estimated to within 0.02.

This sample size calculation ensures that the estimate of the true proportion will have a margin of error (E) of 0.02 or less, providing a high level of confidence (96 percent) in the accuracy of the estimate.

In conclusion, by using the formula for sample size estimation, the pollster should survey 2627 voters to achieve a 96 percent confidence level with a margin of error of 0.02 when estimating the true proportion of U.S. voters opposing capital punishment.

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3rd choice is answer

Step-by-step explanation:

The price that Maura sell each scarf would be =$33. Maura sells each scarf for $33. That is option A.

To calculate the amount of money that Maura spends on each scarf the following is carried out.

The amount of money that she spends on the scarf material = $5.50

The percentage selling price of each scarf = 600% of $5.50

That is ;

= 600/100 × 5.50/1

= 3300/100

= $33.

Therefore, each price that is sold by Maura would probably cost a total of $33.

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After plotting the inequalities, we see that the second set satisfies the graph provided.

How can we graph inequalities?

A linear or quadratic inequality can be graphed in a manner similar to that of an equation. The distinction is that an inequality displays a range of values greater than or less than, thus your graph will display more than just a dot on a number line or a line on a coordinate plane. You can figure out which numbers are part of an inequality solution by utilizing algebra and evaluating the inequality sign.

Let the first inequality be  \(3x+5y\leq 10\).

When we plot the equality, we see that it covers the portion including the origin.

Next inequality is \(-x+y > -5\).

When plotting this one, we again see that it covers the portion including the origin.

The last equality is \(y-6 > -5x\).

While plotting it, we see that this line overlaps the other 2 lines making a common space of the triangle that is shown in the figure.

Hence the second set of inequalities represent the graph.

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After plotting the inequalities, we see that the second set satisfies the graph provided.

How can we graph inequalities?

To graph inequalities, you can use a number line or a coordinate plane. Here's an example of how to graph an inequality on a number line:

First, determine the inequality symbol: >, <, ≥, or ≤.

Next, determine the value of the inequality.

Plot the value on the number line, using an open circle for > or <, and a closed circle for ≥ or ≤.

Shade in the region on one side of the plotted point, according to the inequality symbol. For example, if the inequality is x > 3, then you would shade in the region to the right of 3, since values greater than 3 satisfy the inequality.

Here's an example of how to graph an inequality on a coordinate plane:

First, determine the inequality symbol: >, <, ≥, or ≤.

Next, rewrite the inequality in the form "y > f(x)" or "y < f(x)" by isolating the y term on one side of the inequality.

Plot the function f(x) on the coordinate plane.

Shade in the region above or below the plotted function, depending on the inequality symbol. For example, if the inequality is y > f(x), then you would shade in the region above the plotted function, since values of y greater than f(x) satisfy the inequality.

Let the first inequality be \(3x+5y\leq 10\)

When we plot the equality, we see that it covers the portion including the origin.

Next equality is \(-x+y > -5\)

When plotting this one, we again see that it covers the portion including the origin.

The last equality is \(y-6 > -5x\)

While plotting it, we see that this line overlaps the other 2 lines making a common space of the triangle that is shown in the figure.

Hence the second set of inequalities represent the graph.

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Answer:

make y the subject first

Step-by-step explanation:

y=x/2 +3

parallel lines have equal gradient m1=m2

y-y1=m(x-x1)

y-4=1/2(x-(-1))

y=1/2(x) +1/2+4

final answer

y=1/2(x) +9/2

Answer:

15x5?

Step-by-step explanation:

15X5 is 75

Answer:

Tues=8 Weds=24 Thurs=120

Step-by-step explanation:

The question can be modeled by the equation x+3x+15x=152

x is the amount sold on tuesday, 3x is 3 times the amount sold on tuesday so it represents wednesday and 15x represents thursday as it is 5 times the amount sold on wednesday.

Now we just need to solve for x to figure out how many he sold each day.

x+3x+15x=19x

19x=152

x=152/19

x=8

To find the amount sold on each day just mulitiply x by the coefficient

Tuesday = x = 8

Wednesday = 3x = 3*8 = 24

Thursday = 15x = 15*8 = 120

Answer:

C. x>4

Step-by-step explanation:

3/(x-4) > 0

3>0, so

x-4 >0

x > 4

Answer:24

Step-by-step explanation: AB= x+8, BC=4x-4. They are equal to each other because B is the midpoint of A and C. therefore, we set them to equal, and simplify to 3x=12.(x+8=4x-4,-x, 8=3x-4, +4, 3x=12 ) That means x = 4, and then we plug that into the equations, getting AB and BC are both 12. We add them together and get 24/

Answer:

Step-by-step explanation:

given: B is the midpoint of AC

   so,             AB=BC

   i,e,         x + 8 = 4x - 4

                 8 + 4 = 4x - x

                     12  =  3x

                 12/3   = x

                  ∴ x = 4

so, AB = x + 8 = 4 + 8 = 12

     BC = 4x - x =4(4) - 4 = 16 - 4 = 12

                         12        +       12

                     о------------о------------о

                     A              B              C

                             AC = AB + BC = 12 + 12 = 24

                                        AC = 24

Regardless of the appearance of the normal distribution or the size of the standard deviation, approximately less than 2.98% of observations consistently fall within two deviations types (one high and one low).

The normal distribution, also known as the Gaussian distribution, is a probability distribution symmetrical about the mean, indicating that data near the mean occurs more frequently than data far from the mean. In graphical form, the normal distribution is represented by a "bell curve".

The normal distribution is important in statistics and is often used in the natural and social sciences to represent real-valued random variables whose distribution is unknown. Their importance is partly due to the central limit theorem. It states that in some cases the mean of many samples (observations) of a random variable with finite mean and variance is itself a random variable - whose distribution converges to a normal distribution as the size of the l sample increases. Therefore, physical quantities assumed to be the sum of many independent processes, such as measurement errors, tend to have a near-normal distribution.

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Second option is correct

The answer is 17/4 feel free to mark as brainliest:)

Based on the calculations below, the amount originally borrowed by Colin is $10,006.67.

To solve this question, the following present value (PV) formula will be used:

PVn = Pn / (1 + r)^n ........................... (1)

Where:

PVn = Present value of an amount paid in year n

P = Amount paid in year n

r = quarterly interest rate = 7.16% / Number of quarters in a year = 0.0716 / 4 = 0.0179

n = number of quarters = Number of years * Number of quarters in a year = Number of years * 4

Using equation (1), we can therefore proceed as follows:

PV3 = PV of $5,000 paid after three years = $5,000 / (1 + 0.0179)^(3 * 4) = $4,041.18

PV5 = PV of $5,000 paid after another 2 years (after 3 years + 2 years = 5) = $5,000 / (1 + 0.0179)^(5 * 4) = $3,506.45

PV10 = PV of $5,000 paid after another 5 years (after 3 years + 2 years + 5 years = 10) = $5,000 / (1 + 0.0179)^(10 * 4) = $2,459.04

Therefore, we have:

Original amount borrowed = PV3 + PV5 + PV10 = $4,041.18 + $3,506.45 + $2,459.04 = $10,006.67

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There are two methods that can be used to distort a bar graph. These are: A. stretching the vertical scale and B. starting the vertical axis at a point other than the origin. Therefore, the correct options are (A) and (B).

Distorting a bar graph means changing the way it looks so that it presents data in a way that is misleading or confusing to the viewer. To achieve this, the person creating the graph may use certain methods, including stretching the vertical scale, starting the vertical axis at a point other than the origin, and making the width of the bars proportional to their height.

Stretching the vertical scale refers to the act of increasing the distance between the values on the vertical axis. By doing this, the differences between the data values will appear larger than they actually are, and this can lead the viewer to draw incorrect conclusions.

On the other hand, starting the vertical axis at a point other than the origin means that the graph will not start at zero. This makes the differences between the data values appear more significant than they actually are, which can also mislead the viewer. In contrast, making the width of the bars proportional to their height is not a method of distorting a bar graph. Instead, this method is used to create a more accurate and representative graph, especially when the data points are close to each other. Therefore, the correct options are (A) and (B).

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Answer:

The correct answer is a cube with length, height, and width of 7 cm.

Step-by-step explanation:

To solve this problem, we must remember that all sides of the cube are the same, so to find the volume of the cube we use the formula:

V = a³

To find the length of the side, a, we can take the cube root of both sides to give:

a = ∛V

We can plug in the boundary values of 300 and 400 cubic centimeters, which gives us:

a = ∛300 = 6.69

a = ∛400 = 7.36

Therefore, a cube with side length 7 cm (dimensions 7 cm by 7 cm by 7 cm) would have a volume between 300 and 400 cubic centimeters.

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