select ALL numbers that would satisfy the solution to the following inequality

3/2x -3 < -4

a) -6
b) -3
c) -2/3
d) 2/3
e) 3
f) 6

Answer:

Length of straw = 11 inch (Approx.)

Step-by-step explanation:

Given:

Length of cuboid = 9 inch

Width of cuboid = 5 inch

Height of cuboid = 4 inch

Find;

Length of straw

Computation:

Length of straw = Diagonal of cuboid

Diagonal of cuboid = √l² + b² + h²

Diagonal of cuboid = √9² + 5² + 4²

Diagonal of cuboid = √81 + 25 + 16

Diagonal of cuboid = √122

Diagonal of cuboid = 11.04

Length of straw = 11 inch (Approx.)

Answer: (7) I think

Step-by-step explanation:

Answer:

1mm, 1cm, 1m, 1km.

Step-by-step explanation:

Answer:mm, cm, m, km

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

x=10.04

Step-by-step explanation:

let the triangle sides to be ABC, given <A=90, <B=42 &<C=?

find angle C first

<A+<B+<C=180

90+42+<C=180

<C=180-132

<C=42°

Now use sine rule to find the value of X

a/sinA =c/sinC. where, small letters is equal to sides and capital letters is equal to angles. a=15. c=x

A=90. C=42

15/sin90°=x/sin42°

cross multiply

15*sin42°=x*sin90°

make x subject of the formula

x=(15*sin42°)/sin90°

x=10.04

Answer:

y = -5x + 2

Step-by-step explanation:

y = -5x + b

2 = -5(0) + b

2 = 0 + b

b = 2

y = -5x + 2

Answer:

it look really good job

Step-by-step explanation:

Given:

[tex](3x+7)^2[/tex] is subtracted from 3.

To find:

The result of the given statement in the standard form of the polynomial.

Solution:

We need to find the result when [tex](3x+7)^2[/tex] is subtracted from 3.

So, the resulted polynomial can be written as:

[tex]P(x)=3-(3x+7)^2[/tex]

On simplification, we get

[tex]P(x)=3-((3x)^2+2(3x)(7)+(7)^2)[/tex]               [tex][\because (a+b)^2=a^2+2ab+b^2][/tex]

[tex]P(x)=3-(9x^2+42x+49)[/tex]

[tex]P(x)=3-9x^2-42x-49[/tex]

[tex]P(x)=-9x^2-42x-46[/tex]

Therefore, the resulted polynomial in standard form is [tex]-9x^2-42x-46[/tex].

Answer:

It is false because the example shown is using conduction as the transfer of heat since it's using direct contact.

Answer:

x-intercepts = -4 and 2

vertex (-1, -9)

Step-by-step explanation:

To find the x-intercepts ie roots

set the equation to 0

(x - 2) (x + 4) = 0

From the zero product rule

x - 2 = 0

x = 2

x + 4 = 0

x = -4

x-intercepts = -4 and 2

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

The x coordinate of the vertex is the midpoint of the roots

x = (-4 + 2)/2

x = -1

Plug x = -1 into the function

y = (-1 - 2)(-1 + 4)

y = -3 * 3

y = -9

vertex (-1, -9)

Answer:

A) The total length of each edging in her scale drawing would be 19.2 centimeters.

B) Square or rectangle

C) angle  α= 53.13 degrees

angle β=  36.87 degrees

height=  32 inches

base= 24 inches

hypotenuse 40 inches.

Step-by-step explanation:

Part A:

If the roll edging is 96 inches long and the scale chosen is

5inches = 1 cm

96inches /5= 19.2cm

The total length of each edging in her scale drawing would be 19.2 centimeters.

Part B:

The quadrilaterals such rectangle square right  trapezoid have a pair of 90 degrees angles.

If we choose a square shape then all sides must be equal. And we have a length of 19.2 centimeters.

Dividing 19.2 by 4  gives 4.8 cm for each side.

Figure A  shows a square and has 4 sides equal and 4 right angles.

If we choose a rectangle shape then 2 sides must be equal. We have a length of 19.2 centimeters.

Suppose the length is 2 times more than the width

which will give the dimensions as

2*2 x+ 2x= 6x   ( length and width denoted by x)

Dividing 19.2 by 6  gives 3.2 cm for each width and  6.4 for the lengths.

Figure B shows a rectangle  and has 2 sides equal and 4 right angles.

It depends on which quadrilateral you wish to choose.

Part C:

Using Pythagorus theorem if the base and altitude are given then the hypotenuse can be found out using the following formula.

c²= a² +b²

c²= 6.4² +4.8²

c²= 40.96+23.04= 64

c= √64 = 8

The third side must be equal to 8 centimeters.

Using the formula

Cos α= base / hypotenuse

Cos α=4.8/8

α= Cos (inverse) 4.8/8

α= Cos (inverse) 0.6

α= 53.13 degrees

So angle α= 53.13 degrees

All the angles in the triangle must be 180 degrees.

α + β +  90°= 180°

And angle β= 180-90-53.13= 36.869= 36.87 degrees

The actual dimensions of this triangle are

height= a= 6.4* 5= 32 inches

base= b= 4.8*5= 24 inches

hypotenuse= 8*5= 40 inches.

Answer:

2^3·2^2 = 2^3+2 = 2^5  

Step-by-step explanation:

Diego was trying to write 2^3 · 2^2

He wrote  2^3·2^2 = 2^3*2 = 2^6  

But this is wrong because when bases are same exponents are added.

This is the law of exponents.

The correct form would be

2^3·2^2 = 2^3+2 = 2^5  

For understanding it better we can write it like this

2^3·2^2 =

There are 3 two and 2 twos .When totaled there are 5 two not 6 twos.

Answer:

where is the diagram for the question??

Answer:

no

Step-by-step explanation:

it's X= 0.5

group like terms

3x - 5x = 6 - 2 - 5

simplify the equation

-2x = -1

divide through by the coefficient of X

x = 0.5

Answer:

Step-by-step explanation:

Equation for a circle of radius r, centered at (h,k):

(x-h)² + (y-k)² = r²

x² + (y+3)² = 9 is the equation for a circle of radius 3, centered at (0,-3).

Option D - Coordinate plane with no numbers marking the units. A circle is drawn on the plane, with the center at the labeled point begin ordered pair 0 comma negative 3 end ordered pair. The perimeter of the circle goes through the labeled point begin ordered pair negative 3 comma negative 3 end ordered pair IS CORRECT.

We have a equation of circle -

[tex]x^{2} +(y+3)^{2} = 9[/tex]

We have to find out which statement correctly represents the graph of this equation.

The general equation of the circle with radius r and center at (h, k)

is -  [tex](x-h)^{2} +(y-k)^{2} =r^{2}[/tex]

The equation given to us is -

[tex]x^{2} +(y+3)^{2} = 9[/tex]

On comparing it with the general equation of the circle, we get -

[tex]x-h=x\\h=0\\\\y-k=y+3\\k=-3\\\\r^{2} =9\\r=3[/tex]

Therefore, we have a circle whose center lies at (0, -3) with radius = 3 units.

At point P(3, 3) -

[tex](-3)^{2}+(-3+3)^{2} =9\\9=9[/tex]

Hence, Option D - coordinate plane with no numbers marking the units. A circle is drawn on the plane, with the center at the labeled point begin ordered pair 0 comma negative 3 end ordered pair. The perimeter of the circle goes through the labeled point begin ordered pair negative 3 comma negative 3 end ordered pair is correct.

To solve more questions on the general equations of circle, visit the link below -

https://brainly.com/question/11711668

#SPJ2

Answer:

a 41

when the line touch the circle you have to take the half of it

for b its equal 144

the full circle degree is 360

so we can say the 82+2x=360

because the two lines in the circle equal each other so its means tha the Piece of the circle in the left is equal b too

hopefully its helpful and sorry because of my engilish

Answer: y=37.5degrees and x=110degrees

Step-by-step explanation: sum of angle in a quadrilateral =360 and opposite angles=180. 115+2y=180,2y=180-115=75. 2y/2=75/2. therefore y=37.5. while x=70+x=180,x=180-70=110. x=110

Answer:

(1) The ordered pairs must lie on the graphed equation

The best description of the solutions of a two-variable equation should be the ordered pairs that lies on the graphed equation.

The graph of a linear equation with respect to the  two variables refers to a line. In the case when the equation should be considered as the linear so here we can determined the two solutions also plot the two points and then line should be drawn linked them.

Therefore, we can conclude that the first option is correct.

Learn more about equation here: https://brainly.com/question/13354141

Answer:

The answer is d

Step-by-step explanation:

this is because a , b and c all have multiple x vales with more then one y value .

Answer:

[tex] \displaystyle \begin{cases} \displaystyle {x} _{1} = - p \\ \displaystyle x _{2} = - q \end{cases}[/tex]

Step-by-step explanation:

we would like to solve the following equation for x:

[tex] \displaystyle \frac{1}{p} + \frac{1}{q} + \frac{1}{x} = \frac{1}{p + q + x} [/tex]

to do so isolate [tex]\frac{1}{x}[/tex] to right hand side and change its sign which yields:

[tex] \displaystyle \frac{1}{p} + \frac{1}{q} = \frac{1}{p + q + x} - \frac{1}{x} [/tex]

simplify Substraction:

[tex] \displaystyle \frac{1}{p} + \frac{1}{q} = \frac{x - (q + p + x)}{x(p + q + x)} [/tex]

get rid of only x:

[tex] \displaystyle \frac{1}{p} + \frac{1}{q} = \frac{ - (q + p )}{x(p + q + x)} [/tex]

simplify addition of the left hand side:

[tex] \displaystyle \frac{q + p}{pq} = \frac{ - (q + p )}{x(p + q + x)} [/tex]

divide both sides by q+p Which yields:

[tex] \displaystyle \frac{1}{pq} = \frac{ -1}{x(p + q + x)} [/tex]

cross multiplication:

[tex] \displaystyle x(p + q + x) = - pq[/tex]

distribute:

[tex] \displaystyle xp + xq + {x}^{2} = - pq[/tex]

isolate -pq to the left hand side and change its sign:

[tex] \displaystyle xp + xq + {x}^{2} + pq = 0[/tex]

rearrange it to standard form:

[tex] \displaystyle {x}^{2} + xp + xq + pq = 0[/tex]

now notice we end up with a quadratic equation therefore to solve so we can consider factoring method to use so

factor out x:

[tex] \displaystyle x( {x}^{} + p ) + xq + pq = 0[/tex]

factor out q:

[tex] \displaystyle x( {x}^{} + p ) +q (x + p)= 0[/tex]

group:

[tex] \displaystyle ( {x}^{} + p ) (x + q)= 0[/tex]

by Zero product property we obtain:

[tex] \displaystyle \begin{cases} \displaystyle {x}^{} + p = 0 \\ \displaystyle x + q= 0 \end{cases}[/tex]

cancel out p from the first equation and q from the second equation which yields:

[tex] \displaystyle \begin{cases} \displaystyle {x}^{} = - p \\ \displaystyle x = - q \end{cases}[/tex]

and we are done!

Answer: (b)

Step-by-step explanation:

Given

R is inversely proportional to A i.e

[tex]R\propto \dfrac{1}{A}\\\\R=\dfrac{C}{A}\quad [\text{C=Constant}][/tex]

when [tex]R=4,\ A=100[/tex]

Insert the values to get C

[tex]\Rightarrow 4=\dfrac{C}{100}\\\\\Rightarrow C=400[/tex]

When A=250

[tex]\Rightarrow R=\dfrac{400}{250}\\\\\Rightarrow R=1.6[/tex]

option (b) is correct

Answer:

20%

Step-by-step explanation:

We were given a price at $50 on sale for $40. To get the markdown percentage, take the amount of money you've discounted the merchandise at and divide it by the sales price.

$50 sweaters, you can put them on sale for $40.

[tex]50 - 40 = 10[/tex]

The difference between these two prices is $10.

Now, we need to add the amount of which it was marked down

[tex]10 + 10 = 20[/tex]

Therefore, the watch has been marked down by 20%.

Answer:

772.17

Step-by-step explanation:

Given,

Interest (I) = 370

Principal (P) = 4600

Rate (R) = ? , Time (T) = ?

We know,

I = PTR/100

or, 370 = 4600TR/100

or, 370 = 46TR

∴ TR = 370/46 = 185/23.................(1)

Now,

On Principal (P) = 9600

Interest (I) = PTR/100

or, I = 9600TR/100

or, I = 96 * 185/23 (∵From 1)

∴ I = 772.179

88 because you multiply 66 by 8 then divide by 6 and you get 88

Answer:

88

Step-by-step explanation:

6:8=66:x

66×6=528

528=6x

x=88

Answer:

36 meters^3

Step-by-step explanation:

Formula: Bh

B=Base area

h=height

to find the base area, multiply 2 and 6

2x6 = 12

B=12

and the height is given, so just insert your numbers into the formula

12x3=36

Answer:

u = 24, v = 92, and w = 184

Step-by-step explanation:

According to circle theorem, we have;

∠ACD = ∠ABD = 88° by angle inscribed in a circle and also subtending the same chord

∠DOA = 2 × ∠ABD by angle subtended at the center = 2 × Angle subtended at the circumference

∴ ∠DOA = 2 × ∠ABD = 2 × 88° = 176°

w° + ∠DOA = 360  by the sum of angles at a point

∴ w° = 360° - ∠DOA = 360° - 176° = 184°

w° = 184°

w° = 2 × v° by angle subtended at the center = 2 × Angle subtended at the circumference

∴ v° = w°/2 = 184°/2 = 92°

v° = 92°

In triangle ΔCDY and ΔABY, we have;

∠ABD = ∠ABY by reflexive property

∠ACD = ∠ACY by reflexive property

∠ACD = ∠ABD = 88°

∴ ∠ABY = 88°

∠CYD = ∠AYB  by vertically opposite angles are equal

∴ ∠CYD = 68° = ∠AYB

u° + ∠ABY + ∠AYB = 180° by angle sum property

∴ u° = 180° - (∠ABY + ∠AYB)

u° = 180° - (88° + 68°) = 24°

u° = 24°.

Answer:

D

Step-by-step explanation:

Answer:

answer: 9/40

Step-by-step explanation:

18 ÷ 2 = 9 and 80 ÷ 2 = 40 and you can't go any further so 9/40 is the answer.

Answer:

the crisis point b 2000 white white x converse