Which of these expressions is equivalent to log (15/7)

2100 divided by 10.50 = 200 hours

200 hours divided by 8 hour days = 25 days

Answer:

A) 25 days

B) I got 4.6 so try 4 and 5 and 4.6

Step-by-step explanation:

A) 8x10.50=84

2100/84=25 days

B) 84x5=450

2100/450=4.6

Answer:

NOPE

Step-by-step explanation:

Answer:

That looks good

Step-by-step explanation: wait why is this here?

Answer:

The correct answers is -8.3232

Step-by-step explanation:

Answer:

perpendicular

Step-by-step explanation:

perpendicular if the product of their slopes is equal to -1

Parallel lines have equal or identical slopes

The cost of 48 water bottles will be $5.9.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that there are 24 water bottles and costs $2.95. The cost of 48 water bottles will be calculated as,

24 water bottles = $2.95

1 water bottle = $2.95 / 24

48 water bottle = ( 2.95 x 48 ) / 24

48 water bottles = $5.9

Hence, the cost will be $5.9.

The complete question is given below.

24 water bottles for $2.95. What is the cost of 48 water bottles?

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Answer:

1/9 for left

15/16 for second

Step-by-step explanation:

1/3 x 1/2 x 2/3 = 1/9

5/4 x 3/2 x 1/2 = 15/16

Answer:

[tex]\frac{1}{9}[/tex] m³

[tex]\frac{5}{16}[/tex] ft³×÷

[tex]3\frac{1}{8}[/tex] m³

[tex]12\frac{1}{2}[/tex] m³

x = 20 in.

l = 10 in.

Step-by-step explanation:

[tex]2\frac{4}{5}=\frac{14}{5}[/tex]

[tex]1\frac{3}{7}=\frac{10}{7}[/tex]

[tex]3\frac{1}{8}=\frac{25}{8}[/tex]

Answer:

its A

Step-by-step explanation:

Answer:

(20/3,0) is your x-intercept

Step-by-step explanation:

To find x-intercept, let y = 0

[tex] \displaystyle{3x = 20}[/tex]

Solve for x, divide both sides by 3:

[tex] \displaystyle{ \dfrac{3x}{3} = \dfrac{20}{3}} \\ \\ \displaystyle{ x = \dfrac{20}{3}}[/tex]

Hence, the x-intercept is (20/3,0). We write in order pair since it's x-intercept and x = 20/3 at y = 0

The area of the garden whose length and width as given in the task content is; 30 (x + 2) square units.

It follows from the task content that the expression which represents the area of the garden plot whose dimensions are as given.

Recall that Area, A = length × width.

Therefore, since length = 6 (√(x + 2)) units

The width = (5 √(x + 2) ) units

Hence, the area of the garden plot as required in the task content is; 6 (√(x + 2)) × ( 5 √(x + 2) )

= 30 (x + 2) square units

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The robot is moving in the direction indicated by the formula ((i)²¹*(-i)²²)d, or in the beginning direction.

What is complex plain?

When a line is rotated in the complex plane either clockwise or anticlockwise, it is multiplied by -i or I depending on which direction the line is rotated. The direction vector is rotated 90 degrees in the clockwise direction to make a right turn. It is the same as increasing the complex number by -i.

A left turn is represented as a 90° anticlockwise rotation of the direction vector. It is comparable to increasing the complex number by i.

There are 21 left turns of the robot. The direction vector will now be di21. Once it has been rotated 22 times to the right, the direction vector will now be  (di²¹)*(-i)²²=d((i)²¹*(-i)²²).

Consequently, the robot's current direction is:

d((i)²¹*(-i)²²)= di²¹⁺²²=di⁴³= d(-i)= -di

No matter what, the direction will always be the same, hence the sequence is irrelevant.

Hence, the equation that will indicate where the robot is moving is  ((i)²¹*(-i)²²)d, or in the starting direction. Furthermore, the final direction it faces does not depend on the order.

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B. The function shown on the graph has a smaller rate of change, but a higher starting point.

Rate of change = slope of a linear graph.

Given the linear function, [tex]y=4x+2[/tex] , the rate of change here is represented by the slope of the line, which is 4.

Let's find the rate change of the function represented on the graph using slope formula:

Rate of change = [tex]\frac{y2-y1}{x2-x1}[/tex]

Use coordinates of any two points on the line. Let's take,

[tex](0,4)= (x1,y1)\\(1,7)=(x2,y2)[/tex]

Rate of change = [tex]\frac{7-4}{1-0} = 3[/tex]

Rate of change of the linear function of the graph = 3.

Thus the function on the graph has a smaller rate of change, than the function, y = 4x + 2.

The starting value of a function is the y-intercept, that is, the value of y, when x = 0. It is the point at which the line intercepts the y-axis.

The starting value of the linear function, y = 4x + 2 is 2.

The starting value of the function on the graph is 4. At this point, x = 0.

Thus, the function on the graph has a higher starting point.

The statement that correctly compares the function shown on this graph with the function y= 4x+2 is:

B. The function shown on the graph has a smaller rate of change, but a higher starting point.

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The midpoint of the x-intercepts of f(x) = (x - 2)(x - 4) is (3, 0).

The midpoint of a line segment is known as the midpoint in geometry. It is the centroid of the segment and of the ends, and it is equally distant from both of them. It cuts the section in half.

A compass and straightedge setup can be used to locate the midpoint of the line segment they determine given two points of interest. By initially building a lens out of circular arcs with equal radii centered at the two endpoints and joining the cusps of the lens, one can determine the midpoint of a line segment immersed in a plane. The midpoint of the segment is then the place where the line joining the cusps intersects the segment.

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Answer:

8.1061

8.209

8.26

8.6

Step-by-step explanation:

The number of installations in September were forty that lead to John and Wesley earning same amount of money.

Let the number of installations be x. The equation of be formed for each paycheck will be -

Total paycheck = base pay + number of installations × comission on each installation

The total paycheck and number of installations is same. So equating the equations by keeping x.

2000 + 65.25x = 380 + 105.75x

Rewriting the equation -

105.75x - 65.25x = 2000 - 380

Performing subtraction on each side of the equation

40.5x = 1620

x = 1620/40.5

Performing division on Right Hand Side of the equation

x = 40

There were 40 installations.

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Yes, angle 1 is vertically opposite to angle 4 because they are formed due to the intersection of straight lines.

When two lines intersect each other, then the opposite angles formed are called vertical angles or vertically opposite angles. A pair of vertically opposite angles are equal to each other. Also, a vertically opposite angle and its adjacent angle are supplementary angles, i.e., they add up to 180 degrees.

For example, if two lines intersect and make an angle, say X=55°, then its opposite angle is also equal to 55°. And the adjacent angle to angle X will be equal to 180 – 55 = 125°

In the given figure, ∠AOC and ∠BOD form a pair of vertically opposite angles and similarly ∠AOD and ∠BOC form such a pair. Therefore,

∠AOC = ∠BOD

∠AOD = ∠BOC

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Answer:

Approximately - 9.7%

Step-by-step explanation:

By using the percent change formula, you will be able to calculate the percent decrease.

(b-a)/a times 100 <-- (percent change formula)

(120-133)/133 times 100

-13/133 times 100

-9.7744%

Answer:

  9.8% decrease

Step-by-step explanation:

You want the percent decrease from 133 to 120.

The amount of change as a percent can be found using the formula ...

  percent change = ((new value)/(old value) -1) × 100%

Here, the new value is 120, and the old value was 133. The change is ...

  percent change = (120/133 -1) × 100% ≈ (0.90226 -1) × 100%

  = -0.09774 × 100% ≈ -9.8%

The change from 133 to 120 is a 9.8% decrease.

__

Additional comment

When the sign of the change is negative, as here, the change is a decrease. If the sign is positive, the change is an increase. That is, a change of -9.8% is a 9.8% decrease. (You can use either the minus sign or the word "decrease" to indicate the direction of the change. The acceptable form of the answer will depend on your grader.)

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Answer:

[tex]5x^2-3x-7,\,\,f(-2)=19[/tex]

Step-by-step explanation:

[tex]f(x)=2x^2-4x+3x^2+x-7\\f(x)=5x^2-3x-7\\f(-2)=5(-2)^2-3(-2)-7\\f(-2)=5(4)+6-7\\f(-2)=20-1\\f(-2)=19[/tex]

Answer:

A

Step-by-step explanation:

-13 + 18=5

-13 is less than 5

Answer:

98--(&_$4567;'#234678

Answer:

N(AUB)=28+45

=73

Step-by-step explanation:

The triangle with sides of length 5 cm 3 cm and 4 cm is a right angled triangle because (3, 4, 5) is a Pythagorean triple.

We know that if non zero real numbers a, b, c follows Pythagoras theorem  c² = a² + b², the numbers a, b, c is called as a Pythagorean triple.

And these numbers are nothing but the sides of right triangle.

Here we have been given the triangle with sides of length 5 cm 3 cm and 4 cm

Assume that p = 5 cm, q = 3 cm and r = 4 cm

p² = 25

q² = 9

and r² = 16

Consider q² + r² = 16 + 9

q² + r² = 25

q² + r² = r²

Since given numbers follows Pythagoras theorem, (3, 4, 5) is a  Pythagorean triple.

And p = 5 cm, q = 3 cm and r = 4 cm are the lengths of sides of right triangle.

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Answer: 73.2

Step-by-step explanation:

78/2 is 39. Now, use the pythagorean theorem to find the hypoteuse (in this case the spine), which is about 73.2

Answer:

x = 3.1

Step-by-step explanation:

Begin with the right triangle on the left.  Looking at the 39° angle, the 7m side is the hypotenuse and the side marked  h  (see attached image) is the opposite side.  The trig ratio using opposite and hypotenuse is sine.

[tex]\sin{39^\circ}=\frac{h}{7}\\\\h=7\sin{39^\circ}[/tex]  Hold this thought!

Focus attention on the right triangle on the right.  Looking at the 55° angle,  h is the opposite side and the side marked  x  is the adjacent side.  The trig ratio using opposite and adjacent sides is tangent.

[tex]\tan{55^\circ}=\frac{h}{x}\\\\x\tan{55^\circ}=h\\x\tan{55^\circ}=7\sin{39^\circ}\\x=\frac{7\sin{39^\circ}}{\tan{55^\circ}} \approx 3.1[/tex]

The equation for dimensions of the rectangle is x(x - 3) = 10 and the width is 2 meters and the length is 5 meters.

In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical statement made up of two expressions joined by an equal sign is known as an equation. 3x - 5 = 16 is an example of an equation. We get the value of the variable x as x = 7 after solving this equation.

Here,

x(x-3)=10

x²-3x=10

x²-3x-10=0

x²-5x+2x-10=0

(x-5)(x+2)=0

x=-2,5

x=5 units

x-3=5-2

=2 units

The rectangle's dimensions are x(x - 3) = 10, with a width of 2 meters and a length of 5 meters.

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Answer:

Orange = 4 peers

Blue = 30 peers

Step-by-step explanation:

Orange

Step 1: Find 10% of the total (40): Convert 10% to decimal form

Step 2: Multiply 0.1 by 40

[tex]=0.1\cdot \:40[/tex]

[tex]=4[/tex]

4 total peers said their favorite color was orange

Blue

Step 1: Convert [tex]\frac{3}{4}[/tex] to percentage; [tex]\frac{3}{4} = 75\%[/tex]

Step 2: Find 75% of 40: Convert 10% to decimal form

Step 3: Multiply 0.75 by 40

[tex]=0.75\cdot \:40[/tex]

[tex]=30[/tex]

30 total peers said their favorite color was blue

Purple

Step 1: Convert 0.15 to percentage

[tex]15\%[/tex]

Step 2: Find 15% of 40

[tex]\frac{x}{40}=\frac{15}{100}[/tex]

Step 3: Cross multiply; Multiply 0.15 by 40

[tex]=0.15\cdot \:40[/tex]

[tex]=6[/tex]

N is the integer between {3,4,5}.so we can find all possible values of n is 2 and 8.

An integer is a whole number that can be positive, negative or zero. Examples of integers are -5, 1, 5, 8, 97, and 3,043.The integers are generated from the set of counting numbers and the operation.

Subtract the same number from both sides. Multiply both sides by the same positive number. Divide both sides by the same positive number. Multiply both sides by the same negative number and reverse the sign.

Now we solve

3n+4 <19

3n+4-4<19-4

3n<15

n<5

so n is less than and equal to 5 it will be {3, 4, 5].

10n/[tex]n^{2}[/tex]+16  >1

10n> [tex]n^{2}[/tex] +16

0> [tex]n^{2}[/tex]-10n +16

0>[tex]n^{2}[/tex] -8n -2n +16

0> n(n-8)-2(n-8)

0> (n-8) (n-2)

So         n-2<0          n-8<0

             n<2              n<8

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