i have a test and only have an hour please hurry!



90 / 3* (9 +6)=?

Answer:

\(x\) =\(\frac{-2}{3}\)   or   \(x\) = -1

Step-by-step explanation:

quadratic formula⇒ -b ±\(\sqrt{b^{2} -4ac}\) / 2a

15\(x\)² + 22\(x\) = -8

15\(x\)² + 22\(x\) +8 = 0

taking a=15, b=22 & c=8;

\(x\) = (-22 ± \(\sqrt{ - 22^{2} 4 × 15 × 8}\))/ 2 x 15 ⇒ (Pls note that the A~s are multiplications.. unable to insert symbols in equations)

  = (-22 ± \(\sqrt{484 - 480}\)) / 30

  = (-22 ± \(\sqrt{4}\)) / 30

  = (-22 ± 2) / 30

\(x\) = \(\frac{-22 + 2}{30}\)  or  \(x\) =\(\frac{-22 - 2}{30}\)

\(x\) = -\(\frac{-20}{30}\)    or \(x\) = \(\frac{-30}{30}\)

\(x\) =\(\frac{-2}{3}\) or \(x\) = -1

The actual annual value of this job to Karla is 33000.

What are arithmetic operations?

Arithmetic operations is a branch of mathematics that studies numbers and the operations on numbers that are useful in all other branches of mathematics. It consists primarily of operations like addition, subtraction, multiplication, and division.

We have,

the job will pay 2400 per month,

if the full cost of the medical insurance is 450 a month and Karla plans to contribute the full 1500 every year tpa retirement plan,

the actual annual value of this job to Karla is:

2400 per month

annual value  = 2400 * 12 = 28,800

the medical insurance is 450 a month

half the cost of medical insurance is  225 a month

annual value  = 225  * 12 = 2700

the full 1500 every year tpa retirement plan,

So, the total value is:

= 28,800 + 2700 + 1500

= 33000

Hence,  the actual annual value of this job to Karla is 33000.

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The inequality expression that corresponds to the solution of the inequality graph is x² + 3x - 3 < 0.

option B.

The inequality expression that corresponds to the solution of the inequality graph is determined by simplifying the equations as follows;

The solution of the graph,

x > -4 and x < 1

The first equation with "≥" is ruled out because the graph doesn't have a thick dot.

Let's simplify the second expression;

x² + 3x - 3 < 0

solve using quadratic formula;

x > -3.79 or x < 0.79

The third expression is ruled out since its solution will be complex.

For the last expression;

x² + 3x - 3 > 0

x < -3.79 or x > 0.79

Thus, the correct inequality expression is x² + 3x - 3 < 0.

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Answer:

339.4cm³

Step-by-step explanation:

V

=

π

r

2

h

3

22/7×6²×9/3= 339.42

Answer:

(a) 3178

(b) 14231

(c) 33152

Step-by-step explanation:

Given

\(y = \frac{269573}{1+985e^{-0.308t}}\)

Solving (a): Year = 1998

1998 means t = 8 i.e. 1998 - 1990

So:

\(y = \frac{269573}{1+985e^{-0.308*8}}\)

\(y = \frac{269573}{1+985e^{-2.464}}\)

\(y = \frac{269573}{1+985*0.08509}\)

\(y = \frac{269573}{84.81365}\)

\(y = 3178\) --- approximated

Solving (b): Year = 2003

2003 means t = 13 i.e. 2003 - 1990

So:

\(y = \frac{269573}{1+985e^{-0.308*13}}\)

\(y = \frac{269573}{1+985e^{-4.004}}\)

\(y = \frac{269573}{1+985*0.01824}\)

\(y = \frac{269573}{18.9664}\)

\(y = 14213\) --- approximated

Solving (c): Year = 2006

2006 means t = 16 i.e. 2006 - 1990

So:

\(y = \frac{269573}{1+985e^{-0.308*16}}\)

\(y = \frac{269573}{1+985e^{-4.928}}\)

\(y = \frac{269573}{1+985*0.00724}\)

\(y = \frac{269573}{8.1314}\)

\(y = 33152\) --- approximated

Answer:

Sorry I didnt answer quick im in a test rn lol

Step-by-step explanation:

3/2

Answer:

3/2

Step-by-step explanation:

The clearest points we can use from this graph are (60, 0) and (80, 30). Substitute those values into the slope formula to find the slope.

m = y₁ - y₂/x₁ - x₂

m = 0 - 30/60 - 80

m = -30/-20

m = 3/2

∴ The slope is 3/2.

Answer:

The polynomial is \(x^{3} - 1.46x^{2} - 3.93x + 6\)

Step-by-step explanation:

A nth order polynomial f(x) has roots \(x_{1}, x_{2}, ..., x_{n}\) such that \(f(x) = (x - x_{1})*(x - x_{2})*...*(x - x_{n}}\),

Which of the following is a polynomial with roots: − square root of 3 , square root of 3, and −2?

So

\(x_{1} = x_{2} = \sqrt{3}\)

\(x_{3} = -2\)

Then

\((x - \sqrt{3})^{2}*(x - (-2)) = (x - \sqrt{3})^{2}*(x + 2) = (x^{2} -2x\sqrt{3} + 3)*(x + 2) = x^{3} + 2x^{2} - 2x^{2}\sqrt{3} - 4x\sqrt{3} + 3x + 6\)

Since \(\sqrt{3} = 1.73\)

\(x^{3} + 2x^{2} - 3.46x^{2} - 6.93x + 3x + 6 = x^{3} - 1.46x^{2} - 3.93x + 6\)

The polynomial is \(x^{3} - 1.46x^{2} - 3.93x + 6\)

We can see from the graph that the line passes through the points ( 1,1) and (2,3), then the slope of the line will be:

m=3-1/2-1=2/1=2

then the final answer is that the slope of the line is 2.

A perfect square refers to a number that is the result of multiplying an integer by itself. In this case, 6^1 is equal to 6.

However, 6 is not a perfect square because it cannot be obtained by multiplying an integer by itself. The perfect squares up to 6^1 would be 1^2 = 1 and 2^2 = 4.

Answer: 18

Step-by-step explanation:

Distribute that negative sign like a -1 to get:

-16 + 34 = 18

The chance that you will get a heads or tails when you flip a coin once (option A) is not mutually exclusive.

Mutually exclusive events are events that cannot occur at the same time, or that do not have any overlap. In the case of flipping a coin, the possibility of getting a head and the possibility of getting tails are independent of each other, and both can occur simultaneously. Therefore, the chance that you will get heads or tails when you flip a coin once is not mutually exclusive.

On the other hand, the other events listed (B, C, and D) are mutually exclusive. The chance that you will only study for the test alone or with a friend cannot occur simultaneously, as you can either study alone or with a friend, but not both. Similarly, the chance that you will meet your friends for pizza or at a Chinese restaurant for dinner today at 6 cannot occur at the same time, as you can either go to the pizza place or the Chinese restaurant, but not both. And the chance that you will answer the ringing phone or take a walk cannot occur simultaneously, as you can either answer the phone or take a walk, but not both.

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The chance that you will get a heads or tails when you flip a coin once (option A) is not mutually exclusive.

this question is related to probability.

mutually exclusive

Mutually exclusive events are those events that do not occur at the same time.

For example, when a coin is tossed then the result will be either head or tail, but we cannot get both the results. Such events are also called disjoint events since they do not happen simultaneously.

probability

Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.

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Answer:

Step-by-step explanation:

so first you need to find the slope

you can draw the line on a graph and use a protractor

final answer=46 degrees

Answer:-5/-19

the answer is -5/-19 and can not be simplify

Answer:

d.  ΔMNO

Step-by-step explanation:

In geometry, two figures are congruent if they are the same shape and size (they can also be a mirror image of each other).  If they are the same shape but a different size (e,g, one is an enlargement or reduction of the other), then they are similar.

All the given triangles have the same interior angles, so we need to find a triangle with the same side lengths as ΔABC.  

The only triangle that has the same side length as ΔABC is ΔMNO:
they both have bases of 8cm.

Therefore, ΔMNO is congruent to ΔABC.

One needs to sell $6750 worth of goods to make the straight commission be at least good to the secondary offer

Straight offer = 6% commission on the sales

Second offer = $270 + 2% of the sales

For the straight offer to be competitive with the second offer it should be able to cover the fixed income of $270

Let x be the sales made in the week

Formulating the equation we get the following:

6% of x = 270 + 2% of x

6/100x = 270 + 2/100x

4/100x = 270

x = 6750

So, for sales up to $6750, the second job offer is good, while for sales more than $6750 the first job offer is good

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Answer:

x = 9.8

Step-by-step explanation:

Cos(16) = x / 10

Cos(16) * 10 = x

9.6 = x

Hope this helps!

Answer:

you are correct 9.6

Step-by-step explanation:

cos(16)=x/10   =9.61261695

Answer: 9/4

Step-by-step explanation:

Reciprocal means flip the fraction

The reciprocal of 4/9  is  9/4

Answer: the rciprocal is 9/4

Step-by-step explanation:

The resulting equation after multiplying the first equation by 2 and subtracting the second equation is:

-5y = -375

1. Given equations:

  - x + 3y = 350    (Equation 1)

  - 2x + 4y = 625   (Equation 2)

2. Multiply Equation 1 by 2:

  - 2(x + 3y) = 2(350)

  - 2x + 6y = 700    (Equation 3)

3. Subtract Equation 2 from Equation 3:

  - (2x + 6y) - (2x + 4y) = 700 - 625

  - 2x - 2x + 6y - 4y = 75

  - 2y = 75

4. Simplify Equation 4:

  -2y = 75

5. To isolate the variable y, divide both sides of Equation 5 by -2:

  y = 75 / -2

  y = -37.5

6. Therefore, the resulting equation is:

  -5y = -375

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Answer:

Step-by-step explanation:

area = 30x + 30(x+3) + 30(2x)

= 30x + 30x+90 + 60x

= (120x + 90) m²

length of planting area = x + (x+3) + 2x = 4x+3 m

area = 30(4x+3) = (120x + 90) m²

x = 5

maple area = 30(5+3) = 240 m²

locust area = 30(2·5) = = 300 m²

Therefore, the equation of the line passing through the point (1,5) with a slope of 7 is y = 7x - 2.

The equation of a line in the point-slope form is given by the following equation:

y-y_1 = m(x-x_1)

where m is the slope of the line and (x1, y1) is any point on the line.

Therefore, we can write the equation of the line passing through the point (1,5) with a slope of 7 as follows:

y-5 = 7(x-1)

Expanding the right-hand side of the equation gives:

y-5 = 7x-7

Adding 5 to both sides of the equation gives:

y = 7x-2

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The volume of the rectangular prism is 208cm³

Volume' is a mathematical quantity that shows the amount of three-dimensional space occupied by an object or a closed surface. The unit of volume is in cubic units such as m3, cm3, in3 etc. Sometimes, volume is also termed capacity.

The volume of a rectangular a prism is expressed as base area × height. The base area is a rectangle and the area of a rectangle is Length × width

length = 2cm

width = 13 cm

height = 8cm

base area = 13× 2 = 26cm²

Volume of the prism = 26× 8 = 208cm³

Therefore the volume of the rectangular prism is 208cm³.

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Answer:

Same I honestly couldn't agree more

Answer:

Streamers cost 2.50 and balloons cost 1.25.

Step-by-step explanation:

Pls mark brainliest.

Answer:

Balloon : $1.25

Streamer : $ 2.50

Step-by-step explanation:

Form simultaneous equations.

Let streamer be represented by ------------s

Let balloons be represented by ------------b

So the equations will be;

3s + 2b = 10 ----------------i

2s + 1b = 6.25---------------ii

Make the terms with s equal by multiplication

[3s + 2b = 10 ]2

[2s + 1b = 6.25]3

Perform subtraction

6s + 4b = 20

6s + 3b = 18.75

b = 1.25 ---------iii

Use  iii  in ii  as;

2s + 1b = 6.25

2s + 1.25 = 6.25

2s = 6.25 - 1.25

2s = 5.00

s= 5.00 / 2

s= 2.5

Hence ; a balloon is  $1.25   and a streamer is $2.5

Given the points ( -4 , 10 ) and ( 5 , 1 )

(x,y) is the point that partitions the segment into a ratio of 2 to 1

So, the equation to find the coordinates x will be :

Solve for x :

The equation to find the coordinates y will be :

Solve for y :

So, the answer is : the point will be : ( 2 , 4 )

Answer:

∅ = 44°

Step-by-step explanation:

cos∅ = sin46°

∅ = (90 - 46)°

∅ = 44°

Hope this helps

Based on the provided data, the population standard deviation is 6.0 and the population variance is 36.0.

To calculate the population standard deviation and variance using a TI-83, TI-83 Plus, or TI-84 calculator, follow these steps:

1. Press the "STAT" button, and then select "Edit" to enter the data.

2. Enter the ages of the students into a list. For example, you could enter the ages into list L1.

3. Once you have entered the data, press the "STAT" button again, and then select "CALC."

4. Choose "1-Var Stats" and enter the list name that contains the data (L1 in this case). Press "ENTER" to see the result.

5. The calculator will display a list of statistics, including the population standard deviation (σx) and the population variance (σx²). Round these values to one decimal place.

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The fraction computed shows that the total inches the infant grew over the three months is 3 3/4 inches.

First month = 2/4 inches

Second month = 1 inch

Third month = 7/4 inches.

The total inches the infant grew over the three months will be;

= 2/4 + 1 + 7/4

= 3 1/4 inches.

The difference in the infants from the second month to the third month will be:

= 7/4 - 1

= 3/4 inches.

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Answer:

37.6 dollars

Step-by-step explanation:

4 pounds = 32 dollars

0.2 pound = 1.6 dollars

0.5 = 4 dollars

0.1 = 0.8 dollars