Which is the graph of the linear inequality y < 3x + 1?
3
1
3
4.
5

Answer:

A

Step-by-step explanation:

330 m/s=330×60 m/min=19800/1000 km/min=198 km/min=1.98×10^1 km/min

A rational number can be made by dividing two integers.

An irrational number cannot be made by dividing two integers.

1.3 is rational

36 is rational

2/3 is rational

Pi is not rational

☺ Hi ☺

Find the value of 4!.

• Let's find the value of 4! :

[tex]4! = 4 × 3 × 2 × 1 = {24}[/tex]

Answer: [tex]f(x)=-x[/tex]

Step-by-step explanation:

When f(-x)= -f(x), then it is known as an odd function.

i) [tex]f(x) = x^3 + 5x^2 + x[/tex]

Then, [tex]f(-x)=(-x)^3+5(-x)^2+(-x)=-x^3+5x^2-x\neq -x^3-5x^2-x[/tex]

i.e. [tex]f(-x)\neq-f(x)[/tex]

ii) [tex]f(x)=\sqrt{x}[/tex]

[tex]f(-x)=\sqrt{-x}\neq-\sqrt{x}[/tex]

i.e. [tex]f(-x)\neq-f(x)[/tex]

iii) [tex]f(x)=x^2+x[/tex]

[tex]f(-x)=(-x)^2+(-x)=x^2-x\neq-x^2-x[/tex]

i.e. [tex]f(-x)\neq-f(x)[/tex]

iv) [tex]f(x)=-x[/tex]

[tex]f(-x)=-(-x)=x[/tex]

[tex]-f(x)=-(-x)=x[/tex]

i.e. [tex]f(-x)=-f(x)[/tex]

Hence, f(x) is an odd function.

Answer:

D

Step-by-step explanation:

if you don't want to read

Answer:

15% above the trend.

Step-by-step explanation:

A time series represented by Y comprises of dataset observed over a particular period of time. Time series is handy in determining the future of a particular business.

In a multiplicative model, if the seasonal factor is 1.15 for a particular season, then we expect that the time series in that season would be

Y = T × C × S × 1

where;

Seasonal S = 1.15

As such Y would increase by 15% above the trend if all other things are being equal.

Answer:

7

Step-by-step explanation:

Convert the mixed numbers to improper fractions, then find the LCD and combine.

Answer: 0.4419

Step-by-step explanation:

Given: The birth weights of full-term newborn infants in the U.S. have an approximately normal distribution with a mean weight of 6.8 lbs and a standard deviation of 1.7.

i.e. [tex]\mu=6.8\ \ \ \text{ and }\sigma= 1.7[/tex]

Let X denotes the birth weight.

Then, the proportion of newborn babies will have a birth weight between 6 lbs and 8 lbs is given by :-

[tex]P(6<X<8)=P(\dfrac{6-6.8}{1.7}<\dfrac{X-\mu}{\sigma}<\dfrac{8-6.8}{1.7})\\\\=P(-0.47<Z<0.71)\ \ \ [Z=\dfrac{X-\mu}{\sigma}] \\\\=P(Z<0.71)-(1-P(Z-0.47))\\\\=0.7611-(1-0.6808)\ \ \ [\text{By z-table}]\\\\= 0.4419[/tex]

Hence, the proportion of newborn babies will have a birth weight between 6 lbs and 8 lbs is 0.4419 .

Answer:

[tex]\Large \boxed{\mathrm{D) \ \triangle ABC \sim \triangle FHG }}[/tex]

Step-by-step explanation:

The two triangles are similar.

The corresponding sides are proportional.

AB ∼ FH

[tex]\displaystyle \frac{72}{12} =6[/tex]

AC ∼ FG

[tex]\displaystyle \frac{48}{8} =6[/tex]

BC ∼ GH

[tex]\displaystyle \frac{84}{14} =6[/tex]

Answer:

x = 25°

Step-by-step explanation:

The secant- secant angle DGB is half the difference of the intercepted arcs, that is

[tex]\frac{1}{2}[/tex] ( BD - FE) = 55

[tex]\frac{1}{2}[/tex](135 - x) = 55 ( multiply both sides by 2 )

135 - x = 110 ( subtract 135 from both sides )

- x = -25 ( multiply both sides by - 1 )

x = 25°

Answer:

Step-by-step explanation:

Area of the basket ball court = Length * Breadth (since it is rectangular in nature)

Area of the basket ball court = 94 feet * 50 feet

Area of the basket ball court = 4700ft²

Area of the space covered by 8 kids = 3ft * 3ft = 9ft²

To know the number of kids that would fit the entire floor, we will use the expression;

Number of kids in the floor = 8*Area of the basket ball court /Area of the space covered by 8 kids = 8*4700/9

= 8*4700/9

= 8*522.22

≈ 4,178 kids

Hence approximately 4,178 kids can fit side by side  over the entire floor

Answer:

(x)n+4

Step-by-step explanation:

x=quantity multiplied by n for a product

n=a number

+4=4 more than the number

HOPE THIS HELPS!!!!!! :)

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Answer:

  9^18

Step-by-step explanation:

The applicable rule of exponents is ...

  (a^b)^c = a^(bc)

__

  [tex](9^3)^6=9^{3\cdot 6}=\boxed{9^{18}}[/tex]

Answer:  8/13

Step-by-step explanation:

There are 52 cards in a deck.

26 cards are black -->  P(Black) = 26/52

Face cards are J, Q, K.  There are 12 face cards -->  P(Face) = 12/52

6 Face cards are black --> P(both) = 6/52

Face card     or      Black card     -    both Face card & Black

      [tex]\dfrac{26}{52}[/tex]             +            [tex]\dfrac{12}{52}[/tex]            -            [tex]\dfrac{6}{52}[/tex]                             [tex]=\dfrac{32}{52}[/tex]

[tex]\dfrac{32}{52}\div \dfrac{4}{4}=\dfrac{8}{13}[/tex]

Answer:

a^2=b^2+c^2.

a^2=10^2+17^2.

a^2=100+289.

a^2=389.

a=√389.

a=19.72~20cm.

Answer:

5.25 miles

Step-by-step explanation:

Total distance = 7 miles

Distance she rode before lunch = 3/4 of the total distance

=> 3/4 of 7

=> 21/4

=> 5.25 miles

So, she drove 5.25 miles before lunch.

Answer:

Step-by-step explanation:

[tex]a.\\sin \theta =\frac{12}{13}\\\theta=sin ^{-1}(\frac{12}{13}) \approx 67^\circ\\b.\\cos75=\frac{x}{13}\\x=13 cos ~75 \approx 7.5 ~ft[/tex]

it forms a right angled triangle.

ladder=hypotenuse.

side of house=perpendicular.

from the base of house to the foot of ladder on the ground=base

Answer: (a). 0.2% (b). 0.4%

Step-by-step explanation:

This is quite straightforward, so let us follow this carefully.

(a) let us consider the expression that was given in the question;

(8.47 + 0.06)1/3 from the binomial expression,

⇒  (x + ∆x)n = xn + nxn-1∆x

So using the stated formula above

(8.47 + 0.06)1/3 = (8.47)1/3+ 1/3(8.47)1-(1/3) (0.06) = 2.038 + 1/3(8.47)(2/3) (0.06)

= 2.038 + 0.005

This gives us the algebric value as x = 2.038

Also, the uncertainity is ∆x = 0.005

Let us calculate the percentage of relative uncertainity;

Relative uncertainity percent is given thus;

⇒ (∆x / x) * 100

= (0.005 / 2.038) * 100 = 0.2%

We have that the relative uncertainity percent is 0.2%

(b). Also we will consider the expression;

log(6.56 + 0.05)

Let us apply the binomial expression to this;

log(6.56 + 0.05) = log(6.56) + ((0.05)2 / 6.56) = 0.817 + 0.003

This makes the algebric value of x = 0.817

and the uncertainity is  ∆x = 0.003

Therefore the Relative uncertainity percent is = (∆x / x) * 100

= (0.003 / 0.817) * 100 = 0.4%

We have the relative uncertainity percent as 0.4%

cheers I hope this helped !!

Answer: x=-3

Step-by-step explanation:

move -9 over to -12 and the 9 becomes positive and then add -12+9 and your answer will be negative

Answer:

252* warmer

Step-by-step explanation:

130 -(-122) = 130 + 122 = 252

Answer:

............... 3 6/8

Answer:

See Explanation

Step-by-step explanation:

[tex] \overline{CB} ||\overline {ED}... (GIVEN) \\

\& BD\:\&\: CE \: are \: transversals\\

\angle CBF\cong \angle EDF.. (alternate \: \angle 's) \\

\overline{CB} \cong \overline {ED}..... (GIVEN) \\

\angle BCF \cong \angle FED.. (alternate \: \angle 's) \\

\therefore \triangle CBF \cong \triangle EDF.. (By \: ASA\: Postulate) [/tex]

Answer:  see proof below

Step-by-step explanation:

   Statement                     Reason

1. CB || ED                       1. Given

2. ∠E ≅ ∠C                     2. Alternate Interior Angle Postulate

3. ∠D ≅ ∠B                     3. Alternate Interior Angle Postulate

4. CB ≅ ED                     4. Given

5. ΔCBF ≅ ΔEDF            5. ASA Congruency Theorem

Answer:

  the point is on the line

Step-by-step explanation:

The ordered pair gives the values of (x, y). Put those values in the equation and see if it is true:

  y = 4x -3

  17 = 4(5) -3 = 20 -3 . . . . . . for (x, y) = (5, 17)

  17 = 17 . . . . true, the point is on the line

Answer:

Simplifying means making (something) simpler or easier to do or understand.

Simplification in math is the process of replacing a mathematical expression by resolving it or making it shorter.

Step-by-step explanation:

hope it will help :)

Answer:

the radius is halfway across the circle, while diameter is all the way across. for reference, a three mile radius would be equivalent to 52.8 football fields

Step-by-step explanation:

Answer:

m = 2

Step-by-step explanation:

Given:

x = 4

y = 6m - 2

a = 8

b = 5

Required:

Value of m

SOLUTION:

x and y are segments of a chord divided when it intersects another chord that also has segments a and b.

According to the Intersecting chords theorem, [tex] a*b = x*y [/tex]

Thus:

[tex] 8*5 = 4*(6m - 2) [/tex]

Solve for m

[tex] 40 = 24m - 8 [/tex]

[tex] 40 + 8 = 24m - 8 + 8 [/tex]

[tex] 48 = 24m [/tex]

[tex] \frac{48}{24} = \frac{24m}{24} [/tex]

[tex] 2 = m [/tex]

The value of m = 2

Answer:

40

Step-by-step explanation:

4 is in "Ten's place".

So, the number is multiplied with 10.

=> 4 x 10

=> 40

The value of 4 in 45 = 40

Answer:

Number of salsa batches produced = 18 batches

Step-by-step explanation:

Given:

1 red onion = 12 batch of salsa

Amount of red onion = one and half (1.5)

Find:

Number of salsa batches produced

Computation:

Number of salsa batches produced = 1.5 × 12

Number of salsa batches produced = 18 batches

the answer is:

A. -16

Answer:

(a) The new angle the ladder makes with the ground = 32.66°

(b) The distance the ladder slipped back on the ground from it's original position = 5 m

Step-by-step explanation:

The given parameters are;

The length of the ladder = 10 m

Angle of inclination of the ladder = 70°

Length to which the ladder slips down the wall = 4 m

(a) The height of the wall adjacent to the ladder = 10×sin(70°) ≈ 9.4 m

The new height of the wall adjacent to the ladder after the ladder slips down 4 m = 9.4 - 4 = 5.4 m

Therefore, the new angle of inclination of the ladder = sin⁻¹(5.4/10) = 32.66°

The new angle the ladder makes with the ground = 32.66°

(b) The distance the ladder slipped back on the ground from its original position is found as follows

The initial distance of the base of the ladder from the wall  = 10 × cos(70°) = 3.42 m

The distance of the base of the ladder from the wall after slipping 4 m down the wall = 10 × cos(32.66°)  ≈ 8.42 m.

Therefore, the amount by which the ladder slip back on the ground from its original position = 8.42 - 3.42 = 5 m.

The distance the ladder slipped back on the ground from it's original position = 5 m.