What is the solution to the inequality in interval notation? 5k+28<−4(k+2) A. (−∞, −4] B(−∞, −4) C [4, ∞) D (−∞, 4)

Answers

Answer 1

Answer: (-∞,-4)

Step-by-step explanation: I had the same question on my test hope it helps!


Related Questions

Find the equation of the line perpendicular to y=−2 that passes through the point (4, −2).

(70 points please awnser quickly)

Answers

Answer:   x = 4

Step-by-step explanation:

It will be a vertical line that passes through +4  and every y-value

Answer:

x=4

Step-by-step explanation:

This is because it will pass through the middle it should be a vertical line that passes through +4  and every y-value to get the right answer

Hope this helps :D Please hit that thanks button below and mark brainliest if correct so sorry if I'm wrong just tell me and I will try to correct it    

is 15 a factor or a multiple

Answers

Answer:

Factors of 15 include 3 and 5; multiples of 15 include 30, 45, 60, etc.

Step-by-step explanation:

Factors and multiples are different things. But they both involve multiplication. Factors are what we can multiply to get the number. Multiples are what we get after multiplying the number by an integer

The weight of an object rounds to 41.3 kilograms select the three posible weights that correctly round to 41.3 kilograms

Answers

Answer:

See Explanation

Step-by-step explanation:

Given

[tex]Weight = 41.3kg[/tex]

Required

Determine the weights that approximates to 41.3kg

The options are not given but the question is still solvable

In approximation:

0 - 4 approximates to 0

This implies that:

41.30 to 41.34 approximates to 41.3

Also:

5 - 9 approximates to 1

This implies that:

41.25 to 41.29 approximates to 41.3

Bring the range together, we have:

[tex]Range = 41.25\ to\ 41.34[/tex]

Select any three numbers within this range, and you have your answer

Examples are: 41.25, 41.28, 41.34\

please help i need it asap

Answers

Answer:

[tex]sqrt{-64} =8i\\\\sqrt{-15} =isqrt{15} \\sqrt{-100} =10i\\sqrt{-25} =2i\sqrt{6}[/tex]

Step-by-step explanation:

I hope this helps

Josh has a total of 12.5 hours of baseball practice after school five days a week. How
many hours of practice will he have for 15 school days?

Answers

Answer:

37.5 hours

Step-by-step explanation:

12.5 for every 5 days

Question asks for 15 days

5 x 3 = 15

12.5 x 3 = 37.5 hours

Answer:

37.5 hours I think is the correct answer

Two angles are complementary. The larger angle is 58 degrees larger than the smaller angle. Find the measure of both angles, and separate your answers with a comma.

Answers

Answer:

the bigger angle is 119

the smaller one is 61

So sense it is a complementary is has to equal 90 degrees and you already know one the angles you subtract 90-58 and you get 32 So both of the angles are 58, 32 degrees

The maximum patent life for a new drug is 17 years. Subtracting the length of time required by the FDA for testing and approval of the drug provides the actual patent life for the drug—that is, the length of time that the company has to recover research and development costs and to make a profit. The distribution of the lengths of actual patent lives for new drugs is given below: Years, y 3 4 5 6 7 8 9 10 11 12 13 p(y) 0.03 0.05 0.07 0.10 0.14 0.20 0.18 0.12 0.07 0.03 0.01 • Find the mean patent life for a new drug. • Find the standard deviation of Y = the length of life of a randomly selected new drug. • What is the probability that the value of Y falls in the interval µ ± 2σ?

Answers

Answer:

a

   [tex]\mu=E(y) = 7.9[/tex]

b

  [tex]\sigma = 2.17[/tex]

c

 [tex]P(4 < X < 12) = 0.96[/tex]

Step-by-step explanation:

From the question the data given is  

     y      3         4       5       6       7       8      9      10        11      12      13

    p(y)  0.03  0.05  0.07  0.10  0.14  0.20  0.18  0.12  0.07  0.03  0.01

Generally the mean is mathematically represented as

      [tex]\mu =E(y) = \sum_{n=3}^{13} x_i * P(x_i)[/tex]

=>   [tex]\mu =E(y) = 3 * 0.03 + 4 * 0.05 + \cdots +13 * 0.01[/tex]

=>   [tex]\mu=E(y) = 7.9[/tex]

Generally the standard deviation is mathematically represented as

     [tex]\sigma = \sqrt{ [var(y)]}[/tex]

Here [tex][var(y)][/tex] is the variance which is mathematically represented as

       [tex][var(y)] = [\sum_{n=3}^{13} x_i^2 * P(x_i)] -[ E(y)]^2[/tex]

=>     [tex][var(y)] =[ (3^2 * 0.03 ) + (4^2 * 0.05)+ \cdots + (13^2 * 0.01)] -[ 7.9]^2[/tex]

=>     [tex][var(y)] =67.14 - 62.41[/tex]

=>     [tex][var(y)] =4.73[/tex]

Thus  

     [tex]\sigma = \sqrt{ 4.73}[/tex]  

      [tex]\sigma = 2.17[/tex]

Generally the interval given is   µ ± 2σ  i.e  [  µ - 2σ ,  µ +2σ]

substituting values  

             [tex][7.9 - 2(2.17) ,7.9 - 2(2.17) ][/tex]

            [tex][3.56 ,12.24 ][/tex]

Now approximating this interval to a whole number

          [tex][4 ,12][/tex]

Hence the probability  that the value of Y falls in the interval µ ± 2σ is mathematically represented as

     [tex]P(4 < X < 12) = P(x__4} ) + \cdots + P(x__{12}})[/tex]

      [tex]P(4 < X < 12) = 0.05 + \cdots +0.03[/tex]

     [tex]P(4 < X < 12) = 0.96[/tex]

In the straight line figure below ,m

Answers

Answer:

7 t 24=31y

Step-by-step explanation:

the difference between two negative umers is always negative

Answers

That’s not true. Two negative numbers turn the minus sign into positive. For explain -1 - (-2) = -1 + 2 = 1

a fish tank at an aquarium has a volume of 1568 cubic feet and a depth of 8 feet. if the base of the tank is square, what is the length of each side of the tank?

Answers

Answer:

14 feet.

Step-by-step explanation:

Volume=base area×height

1568=(L×L)×8

1568=8L²

Divide both sides by 8

L²=196

Then square root each side

L=14 feet

Expanded form with fractions 74.052

Answers

Answer:

[tex]Digit = 7 * 10 +4 * 1 + \frac{0}{10} + \frac{5}{100} + \frac{2}{1000}[/tex]

Step-by-step explanation:

Given

[tex]Digit = 74.052[/tex]

Required

Expand

[tex]Digit = 74.052[/tex]

Split into individual digits

[tex]Digit = 7 * 10 +4 * 1 + 0 * 0.1 + 5 * 0.01 + 2 * 0.001[/tex]

Convert all decimals to fraction

[tex]Digit = 7 * 10 +4 * 1 + 0 * \frac{1}{10} + 5 * * \frac{1}{100} + 2 * * \frac{1}{1000}[/tex]

[tex]Digit = 7 * 10 +4 * 1 + \frac{0}{10} + \frac{5}{100} + \frac{2}{1000}[/tex]

Tyson has 1/2of raisions
to divide into seven different bags what fraction of a pound will be in each bag

Answers

Answer:

                                                                 

Step-by-step explanation:                                                                                                              

ZXVCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC

PLEASE HELP, BEST ANSWER GETS SHOUTOUT AND BRAINLIEST!!!!!!

Solve the problems. Write the complete proof in your paper homework and for online (only) respond to questions or statements (if any) that are parts of your proof or related to it.
1) Given: PQ = PR
m∠QPR = m∠SPK
m∠Q = m∠PRK
Prove: PS = PK

2) Segments AD and BC intersect at point O.
a) Prove that AC = BD
b) Prove that m∠ABC=m∠BAD

3) Solve the problems. Write the complete proof in your paper homework and for online (only) respond to questions or statements (if any) that are parts of your proof or related to it.
b
Given:
AB

KL
= O
O midpoint of
AB
O midpoint of LK
Prove: ΔAOK ≅ ΔBOL

Answers

Answer:

△QPS≅△RPK by reason ASA, SAA

PS = PK , AC = BD , m∠ABC=m∠BAD, ΔAOK ≅ ΔBOL are proved.

What are congruent triangles?

Congruent triangles are those of the same size and shape. This means that the corresponding sides are equal, as are the corresponding angles. We can determine whether two triangles are congruent without testing all of their sides and angles.

1) in ΔPQR we have ,

             PQ = PR

IN,       ∠PRQ = ∠PQR (Isosceles triangle)

180° - ∠PQR = 180° - ∠PQR

         ∠PQR = ∠PSQ

IN ΔPSQ = PRK

        ∠SPQ = ∠RPK

            ∠Q = ∠R IS GIVEN IN QUESTION SO,

       ∠SPQ = ∠RPQ

so, by ASA congruence  we have ,

     ΔPSQ ≅ ΔPRK

    So, PS = PK

hence proved .

2) There are several ways two triangles can be congruent.

AC = BD congruent by SAS

ABC ≅ BAD congruent by the corresponding theorem

In ΔAOC and ΔBOD, we have the following observations

AO = DO ( O is the midpoint of line segment AD)

BO = CO ( Because O is the midpoint of line segment BC)

∠AOB = ∠COD (vertical angles are congruent)

  ∠AOC = ∠BOD ( vertical angles are congruent)

Using the SAS (side-angle-side) postulate, we have:

AC = BD

Using the corresponding theorem,

ΔABC ≅ ΔBAD

The above congruence equation is true because:

2 sides of both triangles are congruent

1 angle each of both triangles is equal

Corresponding angles are equal

Hence Proved.

3) There are several ways two triangles can be congruent.

ΔAOK ≅ ΔBOK

are congruent by SAS

In ΔAOL and ΔBOK, we have the following observations

AO = BO ( O is the midpoint of line segment AB)

∠AOL = ∠BOK ( vertical angles are congruent)

LO = KO ( O is the midpoint of line segment KL)

Using the SAS (side-angle-side) postulate, we have:

ΔAOK ≅ ΔBOK

The above congruence equation is true because:

2 sides of both triangles are congruent

1 angle each of both triangles is equal

Hence proved

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I need help as soon as possible someone please help

Answers

Answer:

 b

Step-by-step explanation:

Answer:

The answer is B

Hellppppppppppppppppp!!!!!!!

Answers

answer:
a. -59
b. 17
c. -72
d. 6
e. -24
f. -25
g. 25
h. -25
i. 7

8n/9 = 6.4/0.45
Give me the answer TODAY and you will get 20 points!

Answers

Answer:

n = 16

Step-by-step explanation:

8n/9 = 6.4/0.45

Cross multiply.

0.45 * 8n = 9 * 6.4

3.6n = 57.6

n = 16

Answer:

n = 16

Step-by-step explanation:

8n  =   6.4

9        0.45

simplify:

8n  =  14.222

9      

cross multiply:

8n = 14.222 (9)

n = 128

        8

n = 16

1 point
What is Nick required to do for an hour before soccer on Saturdays?
laundry
O read his dad's dictionary
practice his soccer skills
clean his room

Please help please lease ASAP

Answers

practice his soccer skills. why? because he has soccer soon and practicing his skills would make him better

Mr. Hammond earns $13.75 per hours and worked 20.5 hours last week. How much did he earn last week?

Answers

Multiply total hours worked by pay rate:

20.5 x $13.75 = $281.88

Sam is planning to start a pool cleaning business from his home. He has developed the following cost analysis for the
set-up and operation for the first year of his business. He has $9,000 in savings and $23,000 in credit that he can use for
the business. Approximately what percent of the initial set-up and operation costs will Sam need to finance with a lender
or investor?
Item
Truck
Pool Cleaning Supplies
Payroll
Advertising
a. 19%
b. 23%
C.33%
d. 78%
Cost
$9,000
$6,000
$23,000
$1,500
Please select the best answer from the choices provided

Answers

Answer:

a. 19%

Step-by-step explanation:

The percent of the initial set-up and operation costs that Sam needs to finance with a lender or investor is A. 19%.

What is percentage?

A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.

here, we have,

to illustrate the percentage:

From the information given,

Sam is planning to start a pool cleaning business from his home.

he has developed a cost analysis for the set-up and operation for the first year of his business.

He has $9,000 in savings and $23,000 in credit that he can use for the business.

so, we get,

Here, the percent of the initial set-up and operation costs that Sam need to finance with a lender or investor is simply 19%.

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2 Ollie is at a gift shop where the total cost, y, of purchasing post cards can be
represented by y = 0.75x. If x is the number of post cards purchased, which of
the following represents the most reasonable domain?
a. All integers
b. All whole numbers
c. All real numbers
d. All positive real numbers

Answers

Answer:

it would be all positive #s (real #s)

Step-by-step explanation:

The domain can be All positive real numbers

What are real numbers?

Real numbers are numbers that include both rational and irrational numbers. Rational numbers such as integers (-2, 0, 1), fractions(1/2, 2.5) and irrational numbers such as √3, π(22/7).

Given:

y = 0.75x

where y is number of purchasing post cards and x is the number of post cards purchased.

as, x is number of postcard purchased.

So, number of postcard purchased cannot be negative, only positive real number are allowed.

Hence, the possible domain is All positive real numbers

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Find distance between points : (2,6) and (7,18)

Answers

Answer:

the answer 18.0008

Step-by-step explanation:

Answer:

[tex]D=\sqrt{(2-7)^{2}(6-18)^{2} }D=\sqrt{(5)^{2}(12)^{2} } D=\sqrt{25+144} D=\sqrt{169} = 13[/tex]D = 13

Step-by-step explanation:

1st step, we use the distance formula. After plugging in we simplify.

2-7 = 5 / 6-18 = 12.

Then we are left with 5^2 and 12^2

5x5 = 25 and 12x12 is 144

we added them up and get 169

The square root of 169 is the answer to the distance.

This is for extra credit​

Answers

Answer:

\

Step-by-step explanation:

its to blurry what does it say so i can help

Answer:

its too blurry

Step-by-step explanation:

If AD is the altitude to BC , what is the slope of AD?
A. 1/3
B. 2/3
C. -1/3
D. 3

Answers

Answer:

D

Step-by-step explanation:

Slope of BC

= - 1/3

Altitude to BC

= 3

The required slope of the AD altitude to BC is given by option D. 3

AD is the altitude to BC

What is altitude?

Altitude is defined as the perpendicular line to the line from the opposite vertex of the triangle.

for ΔABC, AD is the altitude to BC

Since, the slope of the perpendicular line is equal to the negative inverse of the slope of the line over which its is perpendicular.
so,
slope of AD= -1/slope of BC

slope of BC = -1-2/3+6
= -3/9
slope of BC = -1/3
Hence,
slope of AD = -1/-1/3
= 3

Thus, The required slope of the AD altitude to BC is given by 3.

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1.588 times 10 to the negative 1sst power

Answers

Answer:

0.1588

Step-by-step explanation:

HELP PLEASE 9TH GRADE MATH

Answers

Answer:

B

Step-by-step explanation:

Perpendicular lines have a reciprocal slope with the opposite sign. The y-intercept does not matter


Find the equation of the line passing through the point (4,−1) that is parallel to the line 2x−3y=9

Answers

Answer:

[tex]y = \frac{2}{3} x - 3 \frac{2}{3} [/tex]

Step-by-step explanation:

Let's rewrite the given equation in the form of y= mx +c, where m is the gradient while c is the y-intercept.

2x -3y= 9

3y= 2x -9

Divide by 3 throughout:

[tex]y = \frac{2}{3} x - 3[/tex]

Thus, the gradient of given line is ⅔.

Parallel lines have the same gradient.

Therefore, gradient of line is ⅔.

Substitute m=⅔ into the equation:

[tex]y = \frac{2}{3} x + c[/tex]

To find the value of c, substitute a pair of coordinates.

When x=4, y= -1,

[tex] - 1= \frac{2}{3} (4) + c \\ - 1 = \frac{8}{3} + c \\ c = - 1 - \frac{8}{3} \\ c = - 3 \frac{2}{3} [/tex]

Substitute the value of c:

[tex]y = \frac{2}{ 3} x - 3 \frac{2}{3} [/tex]

5) 3x2 - 16x + 20
Factor the Trinomial

Answers

Answer:

  (3x -10)(x -2)

Step-by-step explanation:

You want to start by finding two factors of 3·20 = 60 that have a total of -16.

  60 = (-1)(-60) = (-2)(-30) = (-3)(-20) = (-4)(-15) = (-5)(-12) = (-6)(-10)

The last of these factor pairs (-6, -10) have a total of -16, so these are what you need to rewrite the middle term:

  3x² -6x -10x +20

Now, you can factor by pairs:

  = 3x(x -2) -10(x -2)

  = (3x -10)(x -2) . . . . your factored trinomial

Brian made 72 widgets. If kelly and miranda together made three times as many widgets as brian, how many more widgets did they make?

Write the mathematical sentence and show the work .

Answers

72 x 3 = 216 ÷ 2 = 108

Multiplication sentences that is equal to 2/7÷14/3

Answers

The answer is (2/7•3/14)


The area of a rectangular mirror is 8 15/16 square feet. The width of the mirror is 2 3/4 feet. If
there is a 4 foot tall space on the wall to hang the mirror, will it fit?

Answers

Answer:

yes  

Step by-step explanation:

it will take up 8 12/16 space and the wall has 8 15/16

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