Describe its graph.

4 – 5x > 19

hello

the answer to the question is:

x³ - 3x² + 3x - 1 > (3/2)x(x - 1)² ---->

(x - 1)³ > (3/2)x(x - 1)² ----> x - 1 > (3/2)x ---->

(1/2)x < - 1 ----> x < 2

Answer:

Any Nber between 0-58 or 1-59

Step-by-step explanation:

Well you are already given the range which is 58. The question is asking for two number that are in the range. The range 58 means it can't be greater than 59. The range is how far apart the great y vaule is from the lowest y vaule.

Hope this helps!

Have any questions? Feel free to ask

The perimeter of the parallelogram will be D. 2✓26 i+ 8.

It should be noted that the perimeter of the parallelogram will be calculated by using the formula for distance between point.

For WX, the coordinate are (-2, 4)(2, 4)

d = ✓2 - (-2)² + (4 - 4)²

= ✓16 - 0.

= ✓16

= 4

For XY, this will be illustrated as:

d = ✓(1 - (2)² + (-1 - (4)²

= ✓1² + 5²

= ✓1 + 25.

= ✓26

Since the other sides are parallel, the perimeter of the parallelogram will be:

= 2(4) + 2✓26

= 2✓26 + 8

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Answer:

The required probability = 0.7143

Step-by-step explanation:

From the information given:

From a group of eight candidates

The no. of candidates that enrolled in internships = 5

The no. of candidates that enrolled in teaching = 3

Also, supposed all the eight candidates are equally qualified;

Then, Let assume that:

Y to represent the number of internship trainee candidates hired.

N to represent no. of candidates in a group = 8

r to represent those who enrolled in paid internship = 5

Now, N - r = 3 (for those who enrolled in traditional teaching program)

Suppose; n represent the positions for local teaching which is given as 3;

Then; selecting 3 from 8 whereby some enrolled in internships and some in traditional teaching programs;

Then,  let assume Y is a random variable that follows a hypergeometric distribution; we have:

\(p(Y = y) = \left \{ {{\dfrac{ \bigg (^r_y \bigg)\bigg (^{N-r}_{n-y} \bigg) }{ \bigg ( ^N_n \bigg) } } _\atop { ^{0, otherwise} } } \right.\)

\(p(Y = y) = \left \{ {{\dfrac{ \bigg (^5_y \bigg)\bigg (^{3}_{3-y} \bigg) }{ \bigg ( ^8_3 \bigg) } } } } \right, y= 0,1,2,3\)

Thus, the probability that two or more internship trained candidates are hired can be computed as:

p(Y ≥ 2) = p(Y=2) + p(Y =3)

\(p(Y \geq 2) = \dfrac{ \bigg ( ^5_2\bigg) \bigg ( ^3_1 \bigg)}{\bigg (^8_3 \bigg)} + \dfrac{\bigg (^5_3 \bigg) \bigg (^3_0 \bigg)}{\bigg ( ^8_3\bigg)}\)

\(p(Y \geq 2) = \dfrac{40}{56}\)

\(\mathbf{p(Y \geq 2) = 0.7143}\)

Answer:

A

Step-by-step explanation:

The linear equation that has a y-intercept of -4 and a x-intercept of -5 s y = -4/5x - 4

The equation of a line in slope intercept form is expressed y = mx + b

where

m is the slope

b is the y-intercept

Given the coordinate points (0, -4) and (-5, 0), the slope is calculated as:

Slope = y₂-y₁/x₂-x₁

Slope = 4/-5

Slope = -4/5

Determine the equation

y = -4/5x + (-4)

y = -4/5x - 4

Hence the linear equation that has a y-intercept of -4 and a x-intercept of -5 s y = -4/5x - 4

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The total cost, in dollars, before taxes Addition

Given that

To find

So, according to the question

we have,

A store has a buy-one-get-one-half-off sale on laundry detergent, When we buy 1 bottle then we will get half of bottle free and we are buying 2 bottles so we just have to pay the price of one and half bottles only.

So, we can say that

   Total cost of 2 bottle laundry detergent = regular price of 1 bottle laundry detergent + regular price of \(\frac{1}{2}\) bottle laundry detergent

       = 2.60 + \(\frac{1}{2}\)× 2.60

       = 2.60 + 1.30

       = $3.90

Answer:

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Step-by-step explanation:

y = -1/2 X + 1/4

comparing with y = mx+c

m = -1/2 and m is slop

henve slope = -1/2

Answer:

Step-by-step explanation:

Bà của Mike đã mở một tài khoản tiết kiệm đứng tên Mike và gửi một số tiền vào tài khoản. Tài khoản trả lãi suất đơn giản hàng năm là 11%. Sau 14 năm, tiền lãi thu được trên tài khoản là $ 3,080

(Please mark brainliest <3)

Correct option is D.

We have been given a complex number 3-3i we have to convert it in the polar form:

Polar form of a complex number: z=r(cosθ+isinθ)

Where, r=√x^2+ y^2

the general form of complex number is:

x+iy

•Here, x=3 and y=-3

•Hence, r=√3^2+(-3)^2}= √18

•And θ=tan −1 y/x

•θ=tan −1 -3/3

•θ=tan −1 (−1)

•θ=2π− π/4

•θ= 7π/4

•Hence, substituting all the values in polar form formula we get:

z= √18cos( 7π/4) + isin (7π/4)

Answer:

100%

Step-by-step explanation:

The numbers odd or greater than 1 are 1, 2, 3, 4, 5, and 6.

6 numbers out of 6.

6/6 = 1.

P(odd or greater than 1) = 100%

Answer:

100%

Step-by-step explanation:

So the original fraction is 6/6 because is is odd and 3 and 5 also 2,4,6 are all more than 1.

The equations of both trees are Tree A = 38 + 6t and Tree B = 20 + 9t and the growth interval of tree A is t < 6

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

Tree A

Tree B

The height after t years is

Tree = Initial height + rate * t

So, we have

Tree A = 38 + 6t

Tree B = 20 + 9t

Recall that

Tree A = 38 + 6t

Tree B = 20 + 9t

When Tree A is taller than Tree B, we have

38 + 6t > 20 + 9t

Evaluate the like terms

-3t > -18

Divide

t < 6

Hence, the interval is t < 6

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Hello there!

Answer:

16

Step-by-step explanation:

\( |x| = x \: \: \: if \: \: x \: \geqslant 0 \\ |x| = - x \: \: \: if \: \: \: x \: \leqslant 0\)

-12 < 0 so |-12| = -(-12) = 12

4 > 0 so |4| = 4

|-12| + |4| = 12 + 4 = 16

Answer:

16

Step-by-step explanation:

Hello! This question is looking for the absolute value of integers. The absolute value is the distance the number has from zero. For example, -12 as twelve numbers away from zero, twelve away in the negative direction. The absolute value of -12, then, is just twelve. An easy way to remember this is to take away the negative sign when taking the absolute value, since an absolute value can never be negative. The absolute value sign is represented by a squarish bracket [ and ].

This question says to find the absolute value of each integer and then add the two. First we have [-12]. This is 12 away from zero, and we can take away the - sign from the asked integer and we get 12.

The second integer given is 4, and when we take the absolute value of 4, [+4], we get positive four. This is because four is four spaces away from zero on the number line.

Thus, we have +12 and +4 as are values to add since they are the absolute values and we can form this equation

12+4=16

Thus, the answer is 16.

Hope this helps! Remember the hint, when something has brackets like that or asks for the absolute value, take away a negative sign and make it positive! Have a great day!

Answer:

56

Step-by-step explanation:

to find x u add 60 and 64 which is 124

the total is 180 so u would subtract 180 by 124

hope this helps

Answer:

Carbon-14 loses around 10% ( 0.1 in decimal form) of its mass, after one millennium.

Then if we start with a mass A of Carbon-14, after one millennium we will have a mass equal to:

A - A*0.1 = A*(0.9)

After another millennium, we will have a mass equal to:

A*(0.9) - A*(0.9)*0.1 = A*(0.9)^2

And so on, this is an exponential decay.

We already can see the pattern here, after x millenniums, the mass of carbon-14 will be:

M(x) = A*(0.9)^x

Now, in this problem we have 600 grams of carbon-14, then the equation for the mass will be:

y = M(x) = 600g*(0.9)^x

And the graph of this equation is shown below.

Answer:

S(t)=600(0.9)

Step-by-step explanation:

Losing mass at a rate of 10\%10%10, percent per millennium means the sample keeps 100\%-10\%=90\%100%−10%=90%100, percent, minus, 10, percent, equals, 90, percent of its mass each millennium.

So each millennium, the size is multiplied by 90\%90%90, percent, which is the same as a factor of 0.90.90, point, 9.

If we start with the initial mass, 600600600 grams, and keep multiplying by 0.90.90, point, 9, this function gives us the mass of the sample ttt millennia from now:

S(t)=600(0.9)^tS(t)=600(0.9)

t

The amount of hot chocolate served daily is inversely correlated with the temperature of the city, with more cups being sold once the temperature is between 40 and 50 F.

When two variables change in tandem, the relationship is said to be direct. The variable y increases as the variable x increases. A linear relationship denoted by the equation y = kx is directly proportional.

There is a direct correlation between a circle's radius and area, meaning that when the radius is increased or decreased, the area correspondingly changes. If one variable increases while the other declines or vice versa, the relationship between the two variables is inverse.

For given question-

Jordan created the graph below to illustrate the correlation between a city's temperature and the daily sales of hot chocolate.

As we can see that - when the temperature increases the demand for the ice cream also increases which is the direct relation.

Thus, the amount of hot chocolate served daily is inversely correlated with the temperature of the city, with more cups being sold once the temperature is between 40 and 50 F.

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The diagram for the question is attached:

Given the following table of values, k'(-1) is 3.

The derivative of a function of a real variable in mathematics assesses how sensitively the function's value changes in response to changes in its argument. Calculus's core tool is the derivative. finding a function's derivative, or rate of change, in mathematics. Differentiation is the process of determining a function's derivative. The derivative is the rate at which x changes in relation to y when x and y are two variables.

Given Data

k(x) = -3h(x) + \(\frac{4x^{4} }{g(x)}\)

k(x) = -3h'(x) + 4 \(\frac{4x^{3}g(x)-x^{4}g'(x) }{gx^{2} }\)

k'(-1) = -3h'(-1) + 4 \(\frac{4g(-1)-g'(-1)}{g(-1^{2}) }\)

k'(-1) = -3(-1) + 4(0)

k(-1) = 3 + 0

k'(-1) = 3

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The unit rate for Option A is $4.4 per pound of gummy bears.

The unit rate for each option is a mathematical expression that compares two quantities of different measures by dividing one quantity by the other.

The unit rate is used to determine how much an item costs per unit of measure.

To find the unit rate for each option, we can use the following formula: Unit rate = price ÷ weight Option A: $15.40 for 3.5 lbs of gummy bears Unit rate = 15.40 ÷ 3.5Unit rate = $4.4 per pound of gummy bears.

Therefore, the unit rate for Option A is $4.4 per pound of gummy bears.

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Here is the complete question given below:

The unit rate for each option. 9. Option A: $15.40 for 3.5 lbs of gummy bears. $7.65 for 1.8 Ibs of gummy bears.

The proportion of Arts majors who have not found a job is 8%, rounded off to two decimal places.

To find the proportion of Arts majors who have not found a job, we first need to calculate the total number of students who have not found a job.

The total number of students who have not found a job would be 1500 - 1380 = 120.

To calculate the proportion of students who have not found a job, we can divide the number of students who have not found a job by the total sample size:

The proportion of students who have not found a job = 120 / 1500 = 0.08 or 8%.

Therefore, the proportion of Arts majors who have not found a job is 8%, rounded off to two decimal places. This suggests that a majority of the graduating Arts majors from the University of Western Cape have found employment before their graduation.

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Answer: The mean is 3780

Step-by-step explanation:

Mean is found by adding all values and dividing the sum by how many values were added.

4250+4019+3895+3739+3401+3376=22680
22680/6=3780

Answer:

53$

Step-by-step explanation:

7X5=35

35+18=53

Answer:

170

Step-by-step explanation:

How the sales tax de-calculator works

Step 1: take the total price and divide it by one plus the tax rate.

Step 2: multiply the result from step one by the tax rate to get the dollars of tax.

Step 3: subtract the dollars of tax from step 2 from the total price.

Pre-Tax Price = TP – [(TP / (1 + r) x r]

TP = Total Price.

Therefore, the length of AC is √(145) inches.

A triangle is a three-sided polygon, which means it is a flat shape with straight sides. It is the simplest polygon, consisting of three line segments connected end-to-end. The corners where the sides meet are called vertices, and the line segments themselves are called edges or sides. The interior angles of a triangle always add up to 180 degrees. Triangles can be classified according to the lengths of their sides and the sizes of their angles. Common types of triangles include equilateral triangles, isosceles triangles, scalene triangles, acute triangles, right triangles, and obtuse triangles.

Here,

        A

       / \

      /   \

     /     \

    / B    C

   /_|\___/ \

  D       E   \

Since triangle ABC is right-angled at B, we know that angle BAC is a right angle. We can use this fact to find the length of AC by applying the Pythagorean theorem. Let x be the length of AC:

AC² = AB² + BC² (by the Pythagorean theorem)

AC² = AD² + BD² + BC² (by the definition of right triangles)

AC² = AD² + CD² + BC² (since BCD = DCA)

AC² = AE² + EC² + CD² (since BAE = EAC)

AC² = 9² + EC² + 8² (since AE = 9 inches and CD = 8 inches)

Now we need to find EC. We can use the fact that BAE = EAC to find the relationship between AE and EC. Let y be the length of BE:

AE/BE = AC/BC (by the angle bisector theorem)

9/y = x/(BC-y) (substituting the given values)

9(BC-y) = xy

BCy - y² = (9/ x) y²

Next, we can use the fact that BCD = DCA to find the relationship between BD and DC. Let z be the length of AD:

BD/DC = BA/AC

(BD/DC) = (AB/AC) (since B is the right angle)

BD/8 = (x²)/(x² + 8²)

Now we have two equations with two variables (y and z). We can use substitution to solve for one variable in terms of the other. Let's solve for y in terms of z from the first equation:

BCy - y² = (9/x) y²

BCy = y² (9/x + 1)

y(BC - y) = y² (9/x + 1)

y² (BC - y - (9/x + 1)) = 0

Since y cannot be zero, we must have:

BC - y - (9/x + 1) = 0

BC - y = 9/x + 1

Now let's substitute this expression for y into the second equation:

BD/8 = (x²)/(x² + 8²)

BD = (8x²)/(x² + 64)

Since BCD = DCA, we have:

BD/CD = BC/AC

(8x²)/(x² + 64) / 8 = BC/x

BC = x² / (x² + 64)

Now we can substitute this expression for BC into the equation we derived earlier:

BC - y = 9/x + 1

x²/(x² + 64) - y = 9/x + 1

Substituting the value we derived for BD into the equation, we get:

x²/(x² + 64) - 8x²/(x² + 64) = 9/x + 1

Simplifying, we get:

x² = 145

x = √(145)

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Answer:

the lines are perpendicular because they have the same slope so the correct answer would be c

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

25x minus 10x would be 15 x

15x=45 and simplified is three

The two relationships that describe a function in the table are A: Name as a function of hair color, and D: Eye color as a function of hair color.

A function is a relationship between two sets of values in which each element of the first set corresponds to exactly one element of the second set. In this table, for each hair color there is only one associated name, so the relationship between name and hair color is a function. Similarly, for each hair color there is only one associated eye color, so the relationship between eye color and hair color is also a function.

Note that the other relationships listed in the question (B, C, E and F) are not functions because they do not have a one-to-one correspondence between the two sets of values. For example, in the relationship between eye color and name, multiple people (Juan and Keshia) have the same eye color (brown), so this relationship does not describe a function.

Therefore, options A and D are the correct answer.

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Answer:

1/12

Step-by-step explanation:

1/12

Step-by-step explanation:

3/4 + z = 5/6

Subtract 3/4 from each side

3/4 -3/4+ z = 5/6-3/4

z = 5/6 -3/4

Get a common denominator of 12

z = 5/6 *2/2 -3/4 *3/3

z = 10/12 - 9/12

z = 1/12