Solve the equation. Round to the nearest thousandth.
[tex] - 5 + 2ln(3x) = 5[/tex]
​

Answer:

option D

Step-by-step explanation:

take 39 degree as reference angle

using cos rule

cos 39 = adjacent / hypotenuse

0.77 = x / 7

x = 7*0.77

x = 5.39

x = 5.4

Answer:

D. 5.4

Step-by-step explanation:

Using trigonometric ratio

cos 39 = x/7

cross multiple

x = cos39(7)

x=5.4

Answer:

The average speed is 465 mph

Step-by-step explanation:

1860/4 = 465

Answer:

The average speed is 465 mph

Step-by-step explanation:

Average speed = distance/time

1860 miles / 4 hours = 465 mph

9514 1404 393

Answer:

  4 and 35

Step-by-step explanation:

Written as 4/7 = 20/35, the extremes are the outside numbers: 4 and 35.

Answer:

C.20

Step-by-step explanation:

Confidence interval concepts:

A confidence interval has two bounds, a lower bound and an upper bound.

A confidence interval is symmetric, which means that the point estimate used is the mid point between these two bounds, that is, the mean of the two bounds.

The margin of error is the difference between the two bounds, divided by 2.

In this question:

Lower bound: 70

Upper bounf: 110

Margin of error:

[tex]M = \frac{110 - 70}{2} = \frac{40}{2} = 20[/tex]

Thus the correct answer is given by option C.

Step-by-step explanation:

(A) We can shift f(x) to the left or up, both resulting in a transformation to g(x) if the values are right.

If we shift all of the values of f(x) to the left, forming a horizontal translation, we can get g(x)

Similarly, if we shift all of the values of f(x) up, forming a vertical translation, we can get g(x)

(B) k represents how much a graph is shifted up or down. In a horizontal translation, we do not shift k up or down, making it 0

In our second, we can make k 10 as the values of g(x) are 10 steps higher than

(C) First, we can see that the values of g(x) are two steps to the left of f(x). As   shifts a graph to the left h units, we can turn  into  to get g(x)

Next, as stated previously, we can see that the values of g(x) are 10 steps higher than f(x). As fx* + k shifts a graph up k units, we can turn  into  +10 to get g(x)

* this is f(x), needed to bypass content filter

Answer:

Complementary angle of 30° is 60°.

Step-by-step explanation:

The complementary angles are the angles whose sum is 90.

If one angle is x then the other angle is 90 - x, they both are complementary to each other.

One angle is 30°, so the other angle is 90° - 30° = 60°

Answer:

The area of the trapezium is 216 cm²

Step-by-step explanation:

The parameters of the trapezium are;

The point of intersection of the diagonals ac and bd = point o

The area of ΔCOD = 24 cm²

The area of ΔAOB = 96 cm²

Let h represent the height of the trapezium and let x represent the height of triangle ΔCOD, we have;

The height of ΔAOB = h - x

Therefore;

The area of ΔCOD = (1/2) × The length of CD × x = 24

∴ The length of CD = 24/((1/2) × x) = 48/x

The area of ΔAOB = (1/2) × The length of AB × (h - x) = 96

The length of AB = 96/((1/2) × (h - x)) = 192/(h - x)

The area of the trapezium, A = ((48/x + 192/(h - x))/2) × h

We note that ΔCOD ~ ΔAOB, therefore;

(AB)²/(CD)² = (h - x)²/x² = (arΔAOB)/(arΔCOD) = 96/24 = 4

∴ √((h - x)²/x²) = (h - x)/x = √4 = 2

∴ h - x = 2·x

h = 2·x + x = 3·x

A = ((48/x + 192/(h - x))/2) × h

∴ A = ((48/x + 192/(2·x))/2) × 3·x = ((48 + 192/(2))/2) × 3 = 216

The area of the trapezium, A = 216 cm².

Answer:

(x, y) = (-1/2, 1/3)

Step-by-step explanation:

Given the simultaneous equation

x+y/ху=1. ...1

x-y/xy = 5 .... 2

From 1; x+y = xy ...3

From 2; x - y = 5xy ...4

Substituting 3 into 4

x - y = 5(x+y)

x - y = 5x + 5y

x - 5x = 5y + y

-4x = 6y

-2x = 3y

x = -3y/2 ... 4

Add 3 and 4

2x = 6xy

2 = 6y

y = 2/6

y = 1/3

x = -3(1/3)/2

x = -1/2

Hence (x, y) = (-1/2, 1/3)

Answer:

Step-by-step explanation:

√144 < √169

Answcăn169

Step-by-step explanat

ion:cvăn  144

Answer:

12

Step-by-step explanation:

Answer:

[tex]\theta = 79.9^{\circ}[/tex]

Step-by-step explanation:

Given hypotenuse = x , opposite = 1.7 , adjacent = 0.3

Using trigonometric ratios :

[tex]sin \theta = \frac{opposite}{hypotenuse}\\\\cos \theta = \frac{adjacent}{hypotenuse}\\\\tan \theta = \frac{opposite}{adjacent}[/tex]

[tex]tan \theta = \frac{1.7}{0.3} = \frac{17}{3} = 79.9^{\circ}[/tex]

Answer:

Draw QS so that S is the midpoint of PR, then prove ΔPQS is congruent to ΔRQS using SSS.

Step-by-step explanation:

Explanation,

(For Proper Question And Diagram Please Find In attachment)

Solution,

d = dimes

q = quarters

d+q = 38 coins

q=38-d

0.25q + 0.10d=6.95

0.25(38-d)+0.10d=6.95

9.5-0.25d+0.10d=6.95

-015d=-2.55

d=-2.55/-0.15 = 17

q=38-17 =21

21*0.25 =5.25

17*0.10 = 1.70

5.25+1.70 = 6.95

she had 21 quarters and 17 dimes

Answer: hello, your answer is -0.45

Answer:

4/8 = 1/2

Step-by-step explanation:

hope it thepled u

Answer:

D

Step-by-step explanation:

25 and 6

Coefficient is the number in front of the unknown variable

Identify the coefficient(s) of the variable in the expression below.

25 - 6z

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {C. \:6}}}}}}[/tex]

Explanation:

Coefficients are numbers that are attached to variables. In the expression "25 - 6z", 6 is the coefficient since it is attached to the variable z.

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]

Answer:

32x^2+4x

3x-7, g(x)=2x^(2)-3x+1, h(x)=4x+1, k(x)

Answer:

3.14 million

Step-by-step explanation:

I already answered it on the 1st post

Answer:

3.14 million is the correct answer

Answer:

y=-1x-1

Step-by-step explanation:

it should be this

Answer:

D. y+1=3(x+1)

Answer:

0.000032 and 0.0000064

Answer:

1248 cm^2

Step-by-step explanation:

Volume = Length · Width · Height

Volume = 24 · 6 · 5

Volume = 720 cm^2

Volume = Length · Width · Height

Volume = 8 · 6 · 11

Volume = 528 cm^2

528 + 720 = 1248

Answer:

1248 cm³

Step-by-step explanation:

V = lwh

V = 24 cm × 6 cm × 5 cm

V = 720 cm³

V = lwh

V = 8 cm × 6 cm × 11 cm

V = 528 cm³

720 cm³ + 528 cm³

1248 cm³

Answer:

[tex]{ \tt{2y + 3x = 5}} \\ { \tt{2y = - 3x + 5}} \\ { \tt{y = - \frac{3}{2} x + \frac{5}{2} }} \\ { \boxed{ \bf{general \: equation : { \tt{y = mx + c}}}}} \\ by \: relation : \\ { \tt{m = - \frac{3}{2} }} \\ \\ { \tt{c = \frac{5}{2} }} \\ \\ { \underline{ \blue{ \tt{becker⚜jnr}}}}[/tex]

in a sale, normal prices are reduced by 10%

nathalie bought a pair of shoes in the sale for £54

what was the original price of the shoes

[tex]x = 60[/tex]

Explanation

[tex] \sf based \: on \: the \: given \: conditions \: write : x = \frac{54}{ 1 - 01} [/tex]

[tex] \sf calculate \: the \: sum \: difference: x = \frac{54}{0.9} [/tex]

convert decimal to fraction: x= 54 / 9 / 10

[tex] \sf \: divide \: a \: fraction \: by \: multiplying \: its \: reciprosal : x = 54 \times \frac{10}{9} [/tex]

[tex] \sf \: write \: as \: a \: single \: fraction : x = \frac{54 \times 10}{9} [/tex]

[tex] \sf \: reduce \: fraction \: to \: the \: lowest \: term \: by \: cancelling \: the \: greatest \: [/tex]

[tex] \sf \: common \: factor : x = 6 \times 10[/tex]

[tex] \sf \: calculate \: the \: product \: or \: quotient : x = 60 [/tex]

[tex] \sf{ \boxed{answer : x = 60}}[/tex]

Answer:

C) 75

Step-by-step explanation:

If January corresponds to x=0 then June corresponds to x=5.

Knowing this we can replace all values of x with 5.

[tex]v=x^4-50x^2+700[/tex]

[tex]v=5^4-50(5)^2+700[/tex]

[tex]v=625-1250+700[/tex]

[tex]v=75[/tex]

Answer:

[tex]{ \tt{ {x}^{2} -( 3 + \sqrt{3} ) x + \sqrt{3} - 2 = 0}} \\ \\ x = 4.8 \: \: and \: \: - 0.05[/tex]

Answer:

10

Step-by-step explanation:

We need to find the greatest number of student among whom 120 oranges and 130 apples can be divided equally.

​It means we need to find the HCF of 120 and 130.

HCF is highest common factor.

The HCF of 120 and 130 is 10.

So, the greatest number of student is 10.

This value is approximate.

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

Work Shown:

area = 0.5*side1*side2*sin(included angle)

area = 0.5*AB*AC*sin(A)

area = 0.5*11*18*sin(55)

area = 81.0960523846101

area = 81.1 cm^2

The cm^2 refers to "square cm".

Notice that the angle must be between the two sides, hence the "included".