For which of the following compound inequalities is there no solution?

Answer:

(-4, 2).

Step-by-step explanation:

8x + 5y=-22

-3x - 5y = 2   Adding the 2 equations:

5x = -20

x = -4.

Substitute x = -4 in the first equation:

8(-4) + 5y = -22

5y = -22 + 32

5y = 10

y = 2.

Answer:

[tex]x=-4,\:\\y=2[/tex]

Step-by-step explanation:

[tex]\begin{bmatrix}8x+5y=-22\\ -3x-5y=2\end{bmatrix}\\\mathrm{Multiply\:}8x+5y=-22\mathrm{\:by\:}3\:\mathrm{:}\:\quad \:24x+15y=-66\\\mathrm{Multiply\:}-3x-5y=2\mathrm{\:by\:}8\:\mathrm{:}\:\quad \:-24x-40y=16\\\\\begin{bmatrix}24x+15y=-66\\ -24x-40y=16\end{bmatrix}\\\\-24x-40y=16\\+\\\underline{24x+15y=-66}\\-25y=-50\\\begin{bmatrix}24x+15y=-66\\ -25y=-50\end{bmatrix}\\-25y=-50\\\mathrm{Divide\:both\:sides\:by\:}-25\\\frac{-25y}{-25}=\frac{-50}{-25}\\y=2\\[/tex]

[tex]\mathrm{For\:}24x+15y=-66\mathrm{\:plug\:in\:}y=2\\24x+15\times\:2=-66\\24x+30=-66\\24x+30-30=-66-30\\24x=-96\\\frac{24x}{24}=\frac{-96}{24}\\x=-4\\\\\\x=-4,\:y=2[/tex]

Answer:

He hiked 10 miles.

Step-by-step explanation:

rate x time = distance

The distance up and the distance down are equal

3 mi/1 hr  x (h hours + 2/3 hr) = 5 mi/1 hr  x  h hours

3h + 2 = 5h

2 = 2h

h = 1 hour

3mi/hr  x 1 2/3 hr = 5 miles

5 mi/hr x  1 hr = 5 miles

Answer:

did you have more

Step-by-step explanation:

Answer: i’ll attach the tables that my quiz had and if they’re the same tables that your quiz has then you can use this answer! but the answer is C. x | y

1 | 2

2 | 6

3 | 18

4 | 54

5 | 162

Step-by-step explanation:

every y-value can be multiplied by 3 to get the next y-value. also this answer is reliable because i got a 100 on my quiz on this! but here are the tables that were on my quiz:

Answer:

Step-by-step explanation:

[tex]24\% \: of \: 800[/tex]

By definition of p% = p/100

[tex] = \frac{24}{100} \times 800[/tex]

Reduce the numbers with Greatest Common Factor 100

[tex] = 24 \times 8[/tex]

Multiply the numbers

[tex] = 192[/tex]

Hope I helped!

Best regards!!

Answer:

the sum of p amd 7

hopefully this helped :3

Answer:

D

Step-by-step explanation:

Since addings answer is a sum

p+7

D

Answer:

Hey there!

S would be 2 times 7, or 14.

Hope this helps :)

Answer:

14

Step-by-step explanation:

This is a 30-60-90 triangle, so the sides corresponding are x, 2x, and xsqrt3. the side, s, that we want is the 2x, and the x is 7. So, s is 14.

Answer:

x ≤5

Step-by-step explanation:

Pointing to the left means less than or less than or equal to

x ≤5

Answer:

[tex]\boxed{x \leq 5}[/tex]

Step-by-step explanation:

[tex]\sf Arrow \ pointing \ to \ the \ left \ on \ a \ number \ line \ means \ that[/tex]

[tex]\sf \ the \ value \ is \ either \ less \ than \ or \ less \ than \ or \ equal \ to.[/tex]

[tex]\sf{Graph}[/tex] [tex]x\leq 5[/tex] [tex]\sf{on \ the \ number \ line.}[/tex]

Answer:

[tex]2^5 > 5^2[/tex]

Step-by-step explanation:

Given the expression [tex]2^5 \ 5^2[/tex], we are to complete the inequality by inserting the correct inequality signs in between the values.

Before we do that, we must know the value of each indicinal expressions.

[tex]2^5 = 2*2*2*2*2\\\\2^5 = 4*4*2\\\\2^5 = 16*2\\\\2^5 = 32[/tex]

Also,

[tex]5^{2} = 5*5\\\\5^2 = 25[/tex]

From the values gotten, we can clearly see that 32 is greater than 25. This means that 2⁵ is greater than 5². Hence the inequality sign that will complete the expression is a greater than sign (>).

The inequality will be [tex]2^5 > 5^2[/tex]

Answer:

its this

over here...

Answer:

Step-by-step explanation:

Given the expression after 4 has been subtracted from both sides as

1/2 x = - 1/2 x, the original expression will be gotten by adding back 4 to both sides of the resulting expression as shown;

1/2 x + 4 = - 1/2 x + 4

x/2 + 4 = -x/2 + 4

Find the LCM of both equation;

(x+8)/2 = (-x+8)/2

Multiplying both sides by 2 will give;

x+8 = -x+8

Collecting the like terms;

x+x = 8-8

2x = 0

x = 0/2

x = 0

Hence, the value of x is 0

Answer:

0

Step-by-step explanation:

Answer:

Total bill = $67.52

Step-by-step explanation:

Ted + 3 = 4

$16.88 × 4 = $67.52

hopefully this helped you :3

Answer:

16.88*4= 67.52 dollars

Step-by-step explanation:

Ted and 3 friends split the bill evenly, each person paid 16.88:

16.88*4= 67.52 dollars

Answer:

x = - 1/18

Step-by-step explanation:

Move all terms not containing  x to the right side of the equation

Divide each term by 18 and simplify

The result can be shown in multiple forms

x = -1/18

Decimal form= -0.05

Answer: x=-1/18

Step-by-step explanation:

18x+18=17

you subtract 18 from both sides

18x=-1

then you divide by 18 on both sides

x=-1/18

Answer:

i think its 67600

Step-by-step explanation:

100*26=2600

2600*26=67600

Answer: a) $1,210.20     b) $313.20

Step-by-step explanation:

a) $87 down + $46.80(24 months) = $1,210.20 total paid

b) $1,210.20 - $897.00 = $313.20 interest paid

Answer:

[tex]z=5\left(\cos \left(\dfrac{3\pi}{2}\right)+i\sin \left(\dfrac{3\pi}{2}\right)\right)[/tex]

Step-by-step explanation:

If a complex number is z=a+ib, then the trigonometric form of complex number is

[tex]z=r(\cos \theta +i\sin \theta)[/tex]

where, [tex]r=\sqrt{a^2+b^2}[/tex] and [tex]\tan \theta=\dfrac{b}{a}[/tex], [tex]\theta[/tex] is called the argument of z, [tex]0\leq \theta\leq 2\pi[/tex].

The given complex number is -5i.

It can be rewritten as

[tex]z=0-5i[/tex]

Here, a=0 and b=-5. [tex]\theta[/tex] lies in 4th quadrant.

[tex]r=\sqrt{0^2+(-5)^2}=5[/tex]

[tex]\tan \theta=\dfrac{-5}{0}[/tex]

[tex]\tan \theta=\infty[/tex]

[tex]\theta=2\pi -\dfrac{\pi}{2}[/tex]    [tex][\because \text{In 4th quadrant }\theta=2\pi-\theta][/tex]

[tex]\theta=\dfrac{3\pi}{2}[/tex]

So, the trigonometric form is

[tex]z=5\left(\cos \left(\dfrac{3\pi}{2}\right)+i\sin \left(\dfrac{3\pi}{2}\right)\right)[/tex]

Answer:

in degrees the answer is 5 (cos 270 + i sin 270)

in radians the answer is 5 (cos (3pi/2) + i sin (3pi/2))

Step-by-step explanation:

Answer:

  262°

Step-by-step explanation:

The relationship between the angle at B (82°) and the arcs of the circle, CGF and CDF, is that the angle is half the difference of those arcs. Of course the sum of those arcs is 360°, since together they make a full circle. So. we have ...

  CGF +CDF = 360

  (CGF -CDF)/2 = 82

We need to solve this system of equations to find CGF.

__

Multiplying the second equation by 2 and adding the first, we get ...

  2((CGF -CDF)/2) +(CGF +CDF) = 2(82) +(360)

  2CGF = 524 . . . . . simplify

  CGF = 262 . . . . . . divide by 2

The measure of arc CGF is 262°.

_____

Alternate solution

Here's another way to get there. Arc CDF is the supplement to angle B, so is ...

  CDF = 180° -∠CBF

Of course, arc CGF is 360° minus arc CDF, so ...

  CGF = 360° -(180° -∠CBF)

  CGF = 180° +∠CBF . . . . . simplify . . . please note this is a general solution

Then ...

  arc CGF = 180° +82° = 262°.

Answer: Mass of a typical house cat:

Automatically eliminate B and D since they are not metric unit for mass

So, that leaves us with A and C. And since a cat is not huge nor weighs that much, the most reasonable one would be to measure it in grams.

Correct answer: C

Answer:

17.3 = AC

Step-by-step explanation:

Since this is a right angle, we can use trig functions

tan B = opp/ adj

Tan 68 = AC / 7

7 tan 68 = AC

17.32560797 = AC

To 1 decimal place

17.3 = AC

Answer:

Step-by-step explanation:

To find AC we use tan

tan ∅ = opposite / adjacent

From the question

AB is the adjacent

AC is the opposite

So we have

tan 68 = AC / AB

AC = AB tan 68

AC = 7 tan 68

AC = 17.32

AC = 17. 3 cm to one decimal place

Hope this helps you

Answer:

see explanation

Step-by-step explanation:

Under a rotation ( clockwise or anticlockwise ) about the origin of 180°

a point (x, y ) → (- y, - x ), thus

A(5, 3 ) → A'(- 3, - 5 )

B(8, 10 ) → B'(- 10, - 8 )

C(11, 3 ) → C'(- 3, - 11 )

Answer:

a²  + b²  = c · (e + d) =  c × c = c²

a²  + b²  = c²

Please see attachment

Step-by-step explanation:

Statement,                                                        Reason

ΔADC ~ ΔACB,          Given

AC/AD = BA/AC,        The ratio of corresponding sides of similar triangles

b/e = c/b

b² = c·e

ΔBDC ~ ΔBCA,           Given

BC/BA =  BD/BC,        The ratio of corresponding sides of similar triangles

a/c = d/a        

a² = c·d

a²  + b²   = c·e + c·d

a²  + b²   = c · (e + d)

e + d = c,                       Addition of segment

a²  + b²   = c × c = c²

Therefore, a²  + b²   = c²

Step-by-step explanation:

Use law of sines.

16 / sin 39° = BC / sin 120°

BC ≈ 22.02

Greetings from Brasil...

Here we cant use calculator..... It seems that in the USA the use of a scientific calculator is allowed

Let's use Senos Law in Any Triangle

(AC/SEN B) = (BC/SEN A)

16/SEN 39 = BC/SEN 120     sen 120 = sen 60 = √3/2

16/0,63 = BC/(√3/2)

0,63BC = 16√3/2

BC = 8√3/0,63

Answer:

69.7° (corrected to 3 significant figures)

Step-by-step explanation:

Use the cosine formula to solve for x.

[tex]cosA=\frac{(b^2+c^2-a^2)}{2bc} \\cos x =(3.5^2+ 3.5^2 -4^2)}/[2(3.5)(3.5)]cos x =0.346939\\x=69.7[/tex]

Answer:

Tax avoidance - legal

Tax evasion - illegal

Answer:

V = 42 units ^3

Step-by-step explanation:

The volume of a rectangular prism is

V =Bh

V = 8*5 1/4

Changing to a mixed number

V = 8* ( 5*4+1) /4

   =8*21/4

    = 42 units^3

Answer:

[tex]\huge\boxed{V=42\ u^3}[/tex]

Step-by-step explanation:

Th formula of a volume of a prism:

[tex]V=BH[/tex]

B - base

H - height

We have

[tex]B=8;\ H=5\dfrac{1}{4}=\dfrac{5\cdot4+1}{4}=\dfrac{20+1}{4}=\dfrac{21}{4}[/tex]

Substitute:

[tex]V=(8)\left(\dfrac{21}{4}\right)[/tex]    simplify 8 and 4

[tex]V=(8\!\!\!\!\diagup)\left(\dfrac{21}{4\!\!\!\!\diagup}\right)=(2)(21)=42[/tex]

Answer:

Step-by-step explanation:

The question is incomplete. Here is the complete question.

Suppose ABC is a right triangle with sides of lengths a, b, and c and right angle at C. Find the unknown side length using the Pythagorean theorem and then find the value of the indicated trigonometric function of the given angle. Rationalize the denominator if applicable. Find tan B when a = 96 and c = 100.

Pythagoras theorem states that the square of the hypotenuse side of a right angled triangle is equal to the sum of the square of its other two sides. Mathematically c² = a²+b² where c is the hypotenuse and a,b are the other two sides.

From the question, we are given a = 96 and c = 100, to get the unknown side 'b', we will substitute the given values into the formula above;

c² = a²+b²

100²  = 96² +b²

b²  = 100²  - 96²

b²  = 10,000 - 9216

b²  = 784

b = √784

b = 28

Hence, the unknown length is 28.

To get tanB, we will use the SOH, CAH, TOA trigonometry identity

According to TOA, tan B = opposite/adjacent

tan B = b/a (note that side b is the opposite in this case since the angle we are considering is B)

Given b = 28 and a = 96

tan B = 28/96

tan B = 4*7/4*24

tan B = 7/24

Answer:

1) A. y= (20 - 2x) /5

2) C. 141.3

3) True ( Your answers are here.)

Answer:

1. is A 2. is C 3. is I believe True

Step-by-step explanation:

1.

2x + 5y = 20

-2x          -2x

5y = 20 - 2x

/5          /5

Answer: y = 20 - 2x /5

2.

V = πr^2h

π=3.14  r=3  h=5

3.14*3^2*5

1.413*10^2 which = 141.3

3.

I am not completely sure but I think it is True

Hope this helps

Answer:

All three are rational numbers.

Step-by-step explanation:

I used Desmos (a graphing calculator online) and the roots were all able to be written with fractions.

Answer:

The loudness of the dinner conversation is 40 dB

Step-by-step explanation:

Loudness in dB = 10[tex]Log_{10}[/tex] [tex](\frac{I}{I_{o} })[/tex]

where [tex]I_{0}[/tex] is the least intense sound a human can hear = [tex]10^{-12}[/tex] W/m^2

For a dinner conversation with sound intensity of [tex]I[/tex] = [tex]10^{-7}[/tex] W/m^2

Loudness = 10[tex]Log_{10}[/tex] [tex](\frac{10^{-7} }{10^{-12} })[/tex] = 10[tex]Log_{10}[/tex] [tex]( 10^{4} )[/tex] = 40 dB

Answer:

50 Db

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given

u = 14 , a = 8 , t = 4

Now, let's find the value of s

[tex]s = ut + \frac{1}{2} a {t}^{2} [/tex]

plug the values

[tex] = 14 \times 4 + \frac{1}{2} \times 8 \times {4}^{2} [/tex]

Reduce the numbers with G.C.F 2

[tex] = 14 \times 4 + 4 \times {4}^{2} [/tex]

Multiply the numbers

[tex] = 56 + 4 \times {4}^{2} [/tex]

Calculate the product

[tex] = 56 + {4}^{3} [/tex]

Evaluate the power

[tex] = 56 + 64[/tex]

Add the numbers

[tex] = 120[/tex]

Hope this helps..

best regards!!

Answer:

7625597484987 ways

Step-by-step explanation:

Given the following :

Number of ball(k) = 9

Number of bins (n) = 27

How many different ways are there to distribute these 9 balls among the 27 bins.

Here, the balls have different labels (1 to 9)

The bins are also distinguishable, therefore each ball can go into any of the 27 distinct bins.

Therefore, the different ways are there to distribute these 9 balls among the 27 bins equals = n^k

27^9 = 7625597484987 ways.

Answer:

74°

Step-by-step explanation:

A rhombus is a quadrilateral that has its opposite sides to be parallel to be each other. This means that the two interior opposite angles are equal to each other. Since the sum of the angles of a quadrilateral is 360°.

According to the triangle, since one of the acute angle is 32°, then the acute angle opposite to this angle will also be 32°.

The remaining angle of the rhombus will be calculated as thus;

= 360° - (32°+32°)

= 360° - 64°

= 296°

This means the other two opposite angles will have a sum total of 296°. Individual obtuse angle will be 296°/2 i.e 148°

This means that each obtuse angles of the rhombus will be 148°.

To get the unknown angle m°, we can see that the diagonal cuts the two obtuse angles equally, hence one of the obtuse angles will also be divided equally to get the unknown angle m°.

m° = 148°/2

m° = 74°

Hence the angle measure if m(1) is 74°