Could someone help me on question 1

thx

It's (A).

................................

The above expression can be rewritten as

log(10) x^5 + log(10) 20 - log(10) 10

= log(10) [(20x^5)/10]

= log(10) (2x^5)

Answer:

x=−3+√(−y−1)(y+5)

Step-by-step explanation:

thats if your solving for x if not to math w    l   ay

Answer:

20%

Step-by-step explanation:

4 / 20 = 0.2 = 20%

Hope this helps :)

Answer:

4 Students is 20% of 20 students.

Step-by-step explanation:

[tex] \frac{4}{20} \times 100[/tex]

= 4 × 5 %

= 20%

Answer:

See attachment for drawing

Step-by-step explanation:

Given

See attachment for sketch of plan

Required

Draw a scaled plan

From the question, the garden has the following dimensions.

5.5m, 5.5m, 4m and 2.5m

Using a scale of 1m : 50 cm units, the above measurements will be represented as:

[tex]5.5m \to \frac{5.5m}{50cm} \to \frac{5.5m}{0.5m} \to 11cm[/tex]

[tex]4m \to \frac{4m}{50cm} \to \frac{4m}{0.5m} \to 8cm[/tex]

[tex]2.5m \to \frac{2.5m}{50cm} \to \frac{2.5m}{0.5m} \to 5cm[/tex]

From the question, we understand that there will be 50cm space between the greenhouse and the edge.

On the scale drawing, this will be represented as:

[tex]50cm \to \frac{50cm}{50cm} \to 1cm[/tex]

From the question, the green house has the following dimensions.

2m, 2.5m

On the scale drawing, this will be represented as:

[tex]2m \to \frac{2m}{50cm} \to \frac{2m}{0.5m} \to 4m[/tex]

[tex]2.5m \to \frac{2.5m}{50cm} \to \frac{2.5m}{0.5m} \to 5m[/tex]

See attachment 2 for scale drawing

Answer:

Lunar Eclipse

Step-by-step explanation:

Lunar eclipse is the phenomenon that occurs on the night of the full moon. During this phenomenon the Earth comes in between the Sun and the Moon. The Earth blocks the light of the Sun with which the Moon is visible to the people on the Earth. Lunar Eclipse is visible from the part of the Earth that is experiencing the night. The duration of the Lunar eclipse can be for two hours. The moon appears to be red because of the reflection of the Earth.

Answer:

(0.30, 0.42)

Step-by-step explanation:

i took the test :)

Answer:

j= -10/3

Step-by-step explanation:

j - 2 + 7 = - 12 - 2j + 7

*add -2 and 7 to get 5

j + 5 = -12 - 2j + 7

*add -12 and 7 to get -5

j + 5 = -5 - 2j

*add 2j to both sides

3j + 5 = -5

*subtract 5 from both sides

3j = -10

*divide both sides by 3

j= -10/3

Answer:

1/6

Hope that this helps!

Answer:

1 inch =  3 feet

Step-by-step explanation:

A scale drawing is a reduced form in terms of dimensions of an original image / building / object

the scale drawing is usually reduced at a constant dimension

scale of the drawing = original dimensions / dimensions of the scale drawing

6 /2 = 3

1 in = 3 feet

The center of the circle would be (5,-8)

This is because you inverse the sign within the equation for the x/y coordinate part of it. Therefore, for this question:

(x-5)^2+(y+8)^2 = 121

The center would be (5,-8), since there is (x-5) and (y+8).

The radius of the circle would be 11

This is because within the equation for the circle, the finishing number is the radius squared. This means that if you square root this finishing number, you would get the radius. So with this question:

(x-5)^2+(y+8)^2 = 121

By doing √121, you would get 11 as the radius.

Answer:

one point zero three two four or one and three hundred twenty-four ten-thousandths

Step-by-step explanation:

For a graphed line to be a function it needs to pass the vertical line test.

If a vertical line goes through the graphed line in more than one x axis then it is not a function.

 Using the given point (-1,2) drawing a vertical line at X = -1, you can see the other vertical line goes through the graphed line at point  (-1,0)

Answer: (-1,0)

Answer:

y=6x-14

Step-by-step explanation:

m=-8-(-2)/1-2

m=-8+2/1-2

m=-6/-1

m=6

y-y1=m(x-x1)

y-(-2)=6(x-2)

y+2=6x-12

y=6x-2-12

y=6x-14

Given:

P(x) is a 2nd degree polynomial.

[tex]P(1)=0,\ P(2)=3,\ P(-3)=0[/tex]

To find:

The polynomial P(x).

Solution:

If P(x) is a polynomial and P(c)=0, then c is a zero of the polynomial and (x-c) is a factor of polynomial P(x).

We have, [tex]P(1)=0,\ P(-3)=0[/tex]. It means 1 and -3 are two zeros of the polynomial P(x) and (x-1) and (x+3) are two factors of the polynomial P(x).

So, the required polynomial is defined as:

[tex]P(x)=a(x-1)(x+3)[/tex]          ...(i)

Where, a is a constant.

We have, [tex]P(2)=3[/tex]. So, substituting [tex]x=2,\ P(x)=3[/tex] in (i), we get

[tex]3=a(2-1)(2+3)[/tex]

[tex]3=a(1)(5)[/tex]

[tex]3=5a[/tex]

[tex]\dfrac{3}{5}=a[/tex]

Putting [tex]a=\dfrac{3}{5}[/tex] in (i), we get

[tex]P(x)=\dfrac{3}{5}(x-1)(x+3)[/tex]

Therefore, the required polynomial is [tex]P(x)=\dfrac{3}{5}(x-1)(x+3)[/tex].

Answer:

the answer is C.

Step-by-step explanation:

Carry a book bag: Female is 57

Answer:

27

Step-by-step explanation:

First you need to find x.

It is shown that DE=EF, so we can use this.

5x-3=3x+7

5x=3x+10

2x=10

x=5

Then, you plug in the value of the variable and solve.

6(5)-3

30-3

27 = DF

Answer:

Option A

Step-by-step explanation:

Area of the composite figure = Area of ΔABH + Area of BCGH + Area of ΔDEF

Area of ΔABH = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

                        = [tex]\frac{1}{2}(6)(8-5)[/tex]

                        = 9 in²

Area of the trapezoid = [tex]\frac{1}{2}(CG+BH)(\text{Distance between these lines})[/tex]

                                    = [tex]\frac{1}{2}(6+4)(5)[/tex]

                                    = 25 in²

Area of ΔDEF = [tex]\frac{1}{2}(8)(6)[/tex]

                       = 24 in²

Therefore, area of the given figure = 9 + 25 + 24

                                                          = 58 in²

Option A will be the correct option.

Answer:

the answe is 2^3

Answer:

C)  $84

Step-by-step explanation:

40 x 14 = 560

she made $560 prior to raise

14 x 1.15 = 16.10

her new hourly rate is $16.10

40 x 16.1 = 644

she now earns $644 per week

644 - 560 = 84

[tex] \huge \: Answer࿐[/tex]

The values are :

Answer:

2x + 2y = -2

Step-by-step explanation:

you can divide a 2 from all three terms in 2x + 2y = -2 to get x + y = -1 which overlaps the original equation to provide an infinite number of solutions

Answer:

Hi I really want to check my answer to this question, so if anyone could give it a try that would be very much appreciated!

Step-by-step explanation:

if this is wrogn sorry

Answer:

3/4 of a pizza leftover.

Step-by-step explanation:

2 7/12 + 2/3 = 3 1/4

4 -  3 1/4 = 3/4

so 3/4 of 1 pizza is left.

Answer:

Angle of elevation of the airplane = 17.46 degrees

Step-by-step explanation:

From the picture attached,

An airplane is flying at an altitude of 1500 ft at point A.

Runway starts from point B from which distance of the airplane is 5000 ft.

Now we apply sine rule in the given triangle ABC to measure the angle θ.

sinθ = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

sinθ = [tex]\frac{AC}{AB}[/tex]

       = [tex]\frac{1500}{5000}[/tex]

[tex]\theta=\text{sin}^{-1}(\frac{3}{10})[/tex]

[tex]\theta=17.46[/tex] degrees

Answer:

D

Step-by-step explanation:

One number will be positive, and one will be negative

Answer:

The answer is option D

Step-by-step explanation:

multiplication of numbers having opposite signs will result in a number having negative sign .

Answer:

1 is the constant

Step-by-step explanation:

Answer:

2,351,000

Step-by-step explanation:

closest to the volume in cubic feet

Answer:

To prove a quadrilateral is a rhombus, here are three approaches: