Using a trial and improvement method, find x correct to 1 decimal place.
3x² - x = 30

The amplitude is 3

for a sine graph, the amplitude is the distance up or down from the midway point. The equation to find the amplitude is (max-min) / 2.

(3 - (-3)) / 2 = 3

The given inequality 5x - 5y > 70 when written in Slope intercept form is gotten as; y < x + (-14)

The formula for equation of a line in slope intercept form is given by;

y = mx + c

where;

m is slope

c is y-intercept

We are given the inequality as;

5x - 5y > 70

Thus;

Subtract  5x from both sides to get;

-5y > 70 - 5x

divide both sides by -5 to get

y < x + (-14)

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Answer:

[tex]BC=x=(13;+\infty)[/tex]

Step-by-step explanation:

Existence of Triangle            

[tex]x-(2x-24) < x-2 < x+(2x-24)\\[/tex]

                   [tex]13 < x > 11[/tex]

  [tex]x=(13;+\infty)[/tex]

Answer:

c and a

Step-by-step explanation:

Answer:

it's both A and C

Step-by-step explanation:

2 x 3/8 is the same as 3/8 + 3/8

Answer:

[tex]a^{7} +b^{6}[/tex]

Hope this helps :)

Let S be the sum,

S = 2 + 4 + 6 + ... + 2 (n - 2) + 2 (n - 1) + 2n

Reverse the order of terms:

S = 2n + 2 (n - 1) + 2 (n - 2) + ... + 6 + 4 + 2

Add up terms in the same positions, so that twice the sum is

2S = (2n + 2) + (2n + 2) + (2n + 2) + ... + (2n + 2)

or

2S = n (2n + 2)

Divide both sides by 2 to solve for S :

S = n (n + 1)

Answer:

part 1) BC is 17491 ft

part 2)  CD is 6499 ft

Step-by-step explanation:

Answer:

part 1) BC is 17491 ft

part 2)  CD is 6499 ft

Parallelogram is the most precise classification for the quadrilateral shown in the graph below.

This is a quadrilateral which has two pairs of parallel sides and the area is usually measured using base × height.

The opposite sides and angles are equal which is why parallelogram was chosen as the most appropriate choice.

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Answer:

A

Step-by-step explanation:

A cube has 6 square faces

given surface area = 54 mm² , then

area of one face = 54 mm² ÷ 6 = 9 mm²

the area (A) of a square is calculated as

A = s² ( s is the side length ) , so

s² = 9 ( take square root of both sides )

s = [tex]\sqrt{9}[/tex] = 3 mm

Answer:

see the attachment photo!

Answer:

Step-by-step explanation:

The median is defined as the middle value of a data set when all the data is arranged in numerical order.

If there is an even number of values, and therefore no middle value, then the median is calculated as the mean value of the two middle values.

A percentage is a way to describe a part of a whole. The percentage decrease is 20%.

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

One year, the population of a city was 358,000. Several years later it was 286,400. Therefore, the percentage decrease is,

Percentage decrease = (358,000-286,400)/(358,000) × 100% = 20%

Hence, the percentage decrease is 20%.

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Step-by-step explanation:

x = -2-y

3(-2-y) +3y =6

-6-3y +3y=6

у=0

O=-x-2

х=-2

The frequency of the data sets is defined as the number of times the data is repeated in the given dataset. The frequency of the given data is calculated in the table below.

The frequency of the data sets is defined as the number of times the data is repeated in the given dataset.

Height (cm)              Frequency

146           --             2

147           --              1  

148           --              1                

149           --              1                  

150           --             2                  

151            --              1                      

152           --             6                                  

153           --             2                                      

154          --              3                                                  

155          --              1          

As we can see that the height of 146 cm is repeated two times so its frequency is 2. From this concept, all the frequencies are calculated above.

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The value of x of the cubic equation e³ˣ + eˣ - 6 = 0 will be 0.49

The cubic equation is given as ax³ + bx² + cx + d = 0. Then degree of the equation will be 3. Then we have

The cubic equation will be

e³ˣ + eˣ - 6 = 0

Let eˣ = u, then the equation will be

u³ + u - 6 = 0

Then the root of the equation is calculated by the calculator, then we have

u = 1.634, -0.817, -0.817

eˣ = 1.634, -0.817, -0.817

Take log on both sides, then we have

x = ln 1.634, ln(-0.817), ln(-0.817)

x = 0.49, not defined, not defined

Then the value of x will be 0.49.

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The surface area will be equal to option B which is 1008 square centimeters.

The space occupied by any two-dimensional figure in a plane is called the area. The area of the outer surface of any body is called the surface area.

The surface area of the prism will be calculated as:-

SA = area of the three rectangular faces + area of the triangular faces

Area of the rectangular faces = ( 15 X 25 ) + ( 25 X 12 ) + ( 25 X 9 )

                                                 = 375 + 300 + 225

                                                 = 900 square cm

Area of the triangular  [tex]=\sqrt{(s(s-a)(s-b)(s-c)[/tex]

                                     = [tex]\sqrt{(18(18-15)(18-12)(18-9)}[/tex]

                                     = √2916

                                     = 64

Total area of the rectangular face = 2 x 54 = 108

So the total SA area of the prism will be = 900 + 108= 1008 square cm.

Therefore surface area will be equal to option B which is 1008 square centimeters.

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Answer:  £ 3675.79

Step-by-step explanation:

A = P(1 + r)^t

A = final amount = x

P = initial principal balance = 3200

r = interest rate = 0.02

t = number of years elapsed = 7

x = 3200(1.02)^7

x = 3200 * 1.14868567

x = 3675.79414

x = 3675.79

Answer:

I think A sorry if wrong

Step-by-step explanation:

have a good day

Answer:

25

Step-by-step explanation:

Since triangle DBC is isosceles, angles DBC and DCB must be congruent. Angle BDC is 40 so the sum of the measures of the aforementioned angles must be 180 - 40 = 140; divide that by two and you get that the measure of angle DBC is 70. Angles DBC and ABD are supplementary, as they lie on a straight line, so we can deduce the measure of angle DBA is 180 - 70 = 110. The measure of angle DAB is 180 minus the measures of angle DBA and ADB, we figured out angle DBA is 110 degrees and the problem tells us angle ADB is 45 degrees, so we can subtract to get the measure of angle DAB to be 180 - (110 + 45) = 25.

Answer:

25

Step-by-step explanation:

i dont know how to explain i just know thats the answer hahaha

The number of sides equals the number of the line of symmetry. Then the correct option is B.

The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.

The relationship between the number of sides a regular polygon has and the number of lines of symmetry will be

In a regular polygon, the amount of symmetry lines is equal to the total of sides.

Then the correct option is B.

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Answer:

B They are the same value!

Step-by-step explanation:

Why? Well go look in your lesson although because i got this correct i forgot ago and yeah (TRUST++)

Answer:

80

Step-by-step explanation:

10 limits it to 50, 60, 70, 80, and 90

2 eliminates none since 50=25, 60=30, 70=35, 80=40 and 90=45

8 divided by each number only leaves one option of 80. (80/8= 10) (80/10=8) (80/2=40)

The number of the cows is 63 and the number of the horses is 37.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

Given that:-

The number of horses and cows will be calculated by forming the expression from the given data in the question. So the two expressions are as follows.

h  +  c  = 100

500h  +  200c  =  31000

Solving the above two equations by substitution method:-

h  =  100  -  c

Put the value of h in the second equation:-

500 ( 100 - c ) + 200c = 31000

50000 - 500c  + 200c =  31000

50000 - 300c  =  31000

50000 - 31000 = 300c

c  =  19000 / 300

c = 63

Put the value of c in the first equation we will get the number of the horses.

h  + c  =  100

h  +  63  =  100

h  =  100-67  =  37

Therefore the number of the cows is 63 and the number of the horses is 37.

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The slope of the graph is 745 and the y-intercept of the graph is 500

The following three points are from the graph: (2, 1990) (5, 4225) (9, 7205)

Find the slope and y-intercept

The points are given as:

(2, 1990) (5, 4225) (9, 7205)

The slope is calculated using:

m = (y2 - y1)/(x2 - x1)

So, we have:

m = (4225 - 1990)/(5 - 2)

Evaluate

m = 745

Hence, the slope of the graph is 745

In (a), we have

m = 745

To calculate the y-intercept, we use the following points

(x1 , y1) = (0,y)

Recall that:

m = (y2 - y1)/(x2 - x1)

So, we have:

745 = (4225 - y)/(5 - 0)

Evaluate the difference

745 = (4225 - y)/(5)

Multiply both sides by 5

3725 = 4225 - y

Solve for y

y = 500

Hence, the y-intercept of the graph is 500

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Answer:

11 years

Step-by-step explanation:

7200  -  80x  =  5000  +  120x
-5000 + 80x    -5000 + 80x
           2200 = 200x
                  11 = x

The weeks will it take the grass to grow 12 over 7 centimeters is 3 weeks.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

St. Augustine grass can grow at the rate of 4 over 7 centimeters per week.

The weeks will it take the grass to grow 12 over 7 centimeters

4/7 x = 12/ 7

28x = 84

x = 84/28

x = 3

The weeks will it take the grass to grow 12 over 7 centimeters is 3 weeks.

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Answer:

12/7 divided by 4/7 = 3

Step-by-step explanation:

The number of gallons of water in the bathtub is a function of time. Therefore, it is true.

The graph shows a curve that lets you find the number of gallons of water given any value of t betweeh 0 and 30 plus.

Hence, the number of gallons of time indeed is a function of time, in the interval shown by the graph.

The answer is true, because each t value is paired with exactly one number of gallons".

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Answer:

A

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

look at the y axis for the answer to a question like this

Answer:

There are 25 hostel rooms.

Step-by-step explanation:

We simply need to add up the height of each bar.

3+5+8+6+2+1=25 hostel rooms

The lake whose flood level represents an outlier is Ozark.

An outlier is a number that is way smaller or way larger than that of other numbers in a data set. The flood level of Ozark is way greater than the other flood levels.

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Answer:

122.5 squared

Step-by-step explanation:

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