Solve the inequality and write the solution set using both set-builder notation and interval notation. -3a-15≤-2a+6

Answer:

Hello! answer: x = 16

Step-by-step explanation:

16 × 16 = 256

12 × 12 = 144

256 + 144 = 400

√400 = 20 therefore x = 16 hope that helps!

Answer:

23

Step-by-step explanation:

Answer:

Remember that the area of a circle of radius R is given by:

A = pi*R^2

pi = 3.14

We know that:

Personal Pizza: radius = 10cm

                         price = $5

The area of pizza that you are getting is:

A = 3.14*(10cm)^2 = 314 cm^2

In the other case, we have a pizza with radius of 30 cm, cutted into 8 slices, such that each slice costs $5.

Then, if yo pay $5, the area of pizza that you get is an eight of the area of a circle of radius 30cm

This is:

A' = (1/8)*(3.14*(30cm)^2) = 353.25 cm^2

We can see that in the second case the area is larger, then the second option is the better deal, as you are getting a larger pizza area for the same price.

Answer:

135

Step-by-step explanation:

Interior angles add up to 180

180 - 88 - 47 = 45

x and 45 together are on a line creating 180

x = 180 - 45

x = 135

D please mark it brainlist

Answer:

40.79 degrees

Step-by-step explanation:

Hope this helps

from the diagram the opposite is 4.9 and the hypothenus is 7.5

then sin x = 4.9/7.5

x = sin inverse of ( 4.5/7.5)

x = 40.79

Answer: 61.6

Step-by-step explanation:

Use a calculator if you search it up and plug in the number it’ll give you the answers

let garden table be 1 unit.

1 unit + 1 unit+ 56 = 844

2 units+56=844

2 units=844-56=788

1 unit=788 divided by 2 =394

hence, cost of bench = 1 unit+56=394+56=450

hope it helps:))

Answer:

n(A) =61

Step-by-step explanation:

From - 30 to 30 there are 61 numbers

Therefore number of elements in A is 61

Answer:

0.07

Step-by-step explanation:

It's 7/100. There are two zeros so you move the decimal place to the left two times. Or you can just put the seven in the hundreths place.

Answer:

X=22

Step-by-step explanation:

add 9 to both sides

X-9+9=13+9

X=22

Answer:

no solutions

Step-by-step explanation:

The lines are parallel since they have the same slope

y = mx+b where m is the slope

They have different y intercepts (b)

The will never intersect so they have no solutions

Answer:

Step-by-step explanation:

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

9514 1404 393

Answer:

  False

Step-by-step explanation:

The given formula is the "explicit" formula for the sequence.

The recursive formula would be ...

  a[1] = 160

  a[n] = 1/2·a[n-1] . . . . each term expressed in as a function of previous terms

The given statement is false.

This question is incomplete, the complete question is;

A Driver's Ed program is curious if the time of year has an impact on numer of car accidents in the U.S.

They assume that weather may have a significant impact on the ability of drivers to control their vehicles. They take a random sample of 150 car accidents and record the seasons each occurred in. They found that 27 occurred in the Spring, 39 in the Summer, 31 in the Fall, and 53 in the Winter. Can it be concluded at the 0.05 level of significance that car accidents are not equally distributed throughout the year

a) Yes, because the p-value = 0.0145

b) No, because the p-value = 0.0145

c) Yes, because the p-value = 0.0291

d) No, because the p-value = 0.0291

Answer:

p-value = 0.0145

Since p-value ( 0.0145 ) is less than Significance level ∝ ( 0.05 ),

We reject Null hypothesis.

Hence, There is sufficient evidence to conclude that car accidents are NOT equally distributed through out the year.

[ Option a) Yes, because the p-value = 0.0145 ] is the correct answer.

Step-by-step explanation:

Given the data in the question;

number of car accident = 150

Observed Frequencies O are;

Spring = 27

Summer = 39

Fall = 31

Winter = 53

Significance level ∝ = 0.05

Hypothesis

Null hypothesis            H₀ : The car accidents are equally distributed through out the year

Alternative hypothesis H₀ : The car accidents are NOT equally distributed through out the year

Now, Expected Frequency E will be;

Spring = 150/4 = 37.5

Summer = 150/4 = 37.5

Fall = 150/4 = 37.5

Winter = 150/4 = 37.5

Test Statistics;

[tex]X^2_{stat^[/tex] = ∑[ ( O-E )² / E ]

so

[tex]X^2_{stat^[/tex] = [ ( 27-37.5 )² / 37.5 ] + [ ( 39-37.5 )² / 37.5 ] + [ ( 31-37.5 )² / 37.5 ] + [ ( 53-37.5 )² / 37.5 ]

[tex]X^2_{stat^[/tex] = 2.94 + 0.06 + 1.1267 + 6.4067

[tex]X^2_{stat^[/tex] = 2.94 + 0.06 + 1.1267 + 6.4067

[tex]X^2_{stat^[/tex] = 10.5334

Degree of Freedom DF = n-1 = 4 -1 = 3

Now,

p-value = P( [tex]X^2[/tex] - [tex]X^2_{stat^[/tex] ) = P( [tex]X^2[/tex] - 10.5334 ) = 0.0145

p-value = 0.0145

Since p-value ( 0.0145 ) is less than Significance level ∝ ( 0.05 ),

We reject Null hypothesis.

Hence, There is sufficient evidence to conclude that car accidents are NOT equally distributed through out the year.

[ Option a) Yes, because the p-value = 0.0145 ] is the correct answer.

Step-by-step explanation:

6% of 35000

6/100×35000

=2100

hope it helps you

Step-by-step explanation:2100

Answer:

64 ounces of carrots

Step-by-step explanation:

4×16=64

Answer:

64 ounces

Step-by-step explanation:

There are 16 ounces in 1 pound.

If you know that 16 ounces is 1 pound, then you know that 4 pounds must be 16 * 4.

16 * 4 = 64 ounces

Answer:

X = -6 - 3y

Y = -1

Step-by-step explanation: Solve for X first using basic algebra. Plug in X vaalue to original equation and solve. -6 - 3y + 3y = -6. Solve by adding 6 to both sides of the equation and dividing -3y by 3y.

Answer:

12+8k

Step-by-step explanation:

I can start by combining the like terms in the equation which is 10 and 2. 10+2=12. My final answer would be 12+8k because 8k and 12 are not like terms so I cannot proceed in this case and leave it as my answer.

Answer:

320

Step-by-step explanation:

LENGTH=40

WIDTH/BREADTH=80

AREA=LXB

=80X40=320

HOPE THIS HELPS YOU.

9514 1404 393

Answer:

  244 tiles

Step-by-step explanation:

These "border" problems can be a little tricky.

The tiles are 1 ft square, so an integer number of them fit along each of the sides. The 40-ft side will take 40 tiles for its border, and the 80-ft side will take 80 tiles.

The total number of tiles along each of the four sides is ...

  40 + 80 + 40 + 80 = 240 . . . tiles

However, there is also a tile in each of the corners. There are 4 of those, so the total number of tiles surrounding the pool is ...

  240 +4 = 244 tiles

__

Alternate solution

For a border of width w, the outside area of the pool plus the border is ...

  A = LW = (80 +2w)(40 +2w) = 80·40 +240w +4w²

The area of the pool is ...

  A = LW = (80)(40) = 80·40

Subtracting the area of the pool from the total area including the border gives ...

  border area = (80·40 +240w +4w²) -(80·40) = 240w +4w²

We know the width of the border is 1 foot, so w=1 and the border area is ...

  border area = 240·1 +4·1² = 244 . . . . square feet

Each tile is 1 square foot, so 244 tiles are needed for the border.

_____

It can help to draw yourself a diagram. It can also help to make a small model using blocks, Scrabble tiles, Legos, jigsaw puzzle pieces, squares cut from paper, or even coins (pennies). Anything that will give you an idea of how to count the tiles required to make a border can be helpful.

===============================================

Explanation:

Refer to the diagram below. Notice how I've formed 3 rectangles underneath the curve. The term "right Riemann sum" refers to the idea of making each rectangle's upper right corner be on the curve. The upper left corner spills over top, meaning we have an over-estimate going on here.

Simply find the area of each rectangle, and then add up those sub areas. That will get you to the final answer.

Note how we go from x = -1 to x = 5, which is a distance of 5-(-1) = 6 units. Split three ways and each interval is 6/3 = 2 units wide.

If we started at x = -1, then increasing 2 units leads us to x = -1+2 = 1 as the first x input we compute into f(x). This is the height of the first rectangle.

Then 1+2 = 3 is the next input, meaning f(3) is the height of the next rectangle, and so on. We keep going until all rectangles are accounted for.

----------------------

You should have these rectangle heights:

when moving from left to right.

They add up to 3+29+127 = 159. Double that to get to the final answer of 2*159 = 318

The formula I'm using is

[tex]\Delta x*(f(x_1) + f(x_2) + \dots f(x_n))[/tex]

where x1,x2,... represents the values 1, 3, and 5. These are the x values plugged into the function to get the corresponding heights (3, 29, 127)

Step-by-step explanation:

find the value of sec X/3

Answer:

here is the answer to this question

Step-by-step explanation:

put the value of x in the given function...

Answer:

h(-4) = 123

Step-by-step explanation:

h(x) = 8x² – 5

h(-4) = 8(-4)² - 5

h(-4) = 8(16) - 5

h(-4) = 128 - 5

h(-4) = 123

Given:

Segment AD is perpendicular to segment BC.

D is the midpoint of segment BC.

To prove:

[tex]\Delta BDA\cong \Delta CDA[/tex]

Solution:

The two column proof is shown below:

Statements                                                      Reasons

1. [tex]\overline{AD}\perp \overline{BC}[/tex], D is the midpoint of [tex]\overline{BC}[/tex]         1. Given

2. [tex]\overline{BD}\cong \overline{CD}[/tex]                                                 2. Definition of midpoint

3. [tex]m\angle ADB=90^\circ \text{ and }m\angle ADC=90^\circ[/tex]         3. Definition of perpendicular lines

4. [tex]m\angle ADB=m\angle ADC[/tex]                                4. Substitution

5. [tex]m\angle ADB\cong m\angle ADC[/tex]                                5. Definition of congruence

6. [tex]\overline{AD}\cong \overline{AD}[/tex]                                                 6. Reflexive property

7. [tex]\Delta BDA\cong \Delta CDA[/tex]                                      7. SAS congruence postulate

Hence proved.

Answer:

C = 37.7

A = 113.1

Step-by-step explanation:

Answer:

69.1 cm

Step-by-step explanation:

Circumference of a circle

c = 2πr

Half of that would be a semi-circle

c = πr

c = π * 22

c = 69.115038379

Rounded

69.1 cm

9514 1404 393

Answer:

  A, D, E

Step-by-step explanation:

You can try the answer choices in the inequality to see which make it true.

  a. -2·1 -2 = -4 ≥ -4 . . . . TRUE (1, -2)

  b. -2·0 -5 = -5 ≥ -4 . . . false

  c. -2·3 -1 = -7 ≥ -4 . . . false

  d. -1·0 +1 = 1 ≥ -4 . . . . TRUE (0, 1)

  e. -2·(-1)+1 = 3 ≥ -4 . . . . TRUE (-1, 1)

Answer:

y ≥ 4x − 5

Step-by-step explanation:

using the point (2,4)

when x = 2 then y =4

y ≥ 4x − 5

4 ≥ 4(2) - 5

4 ≥ 8 - 5

4 ≥ 3

Answer:

ok

Step-by-step explanation:

please mark me brainleast

Answer:

[tex]volume \: of \: the \: rectriangular \: prism = ( \frac{1}{2} \times base \times 4) \times 2 \\ 4 \times base = 40 \\ base = 10m[/tex]

Answer:

length = 15 meters

Step-by-step explanation:

Volume of a pyramid is:

V = l*w (h/3)

We know that; Volume is 40, Width is 2, and Height is 4, therefore;

40 = l*2 (4/3)

40 = 2l (4/3)

(3/4) * 40 = 2L

30 = 2L

30/2 = L

15 = L

therefore the length = 15 meters

Hope this helps!