Which calculation results in the best estimate of 148% of 203? (200) (140 percent) = (200) (100 percent + 40 percent) = (200) (100 percent) + (200) (40 percent) = (200) (1.0) + (200) (0.4) = 200 + 80 = 280 (210) (140 percent) = (210) (100 percent + 40 percent) = (210) (100 percent) + (210) (40 percent) = (210) (1.0) + (210) (0.4) = 210 + 84 = 294 (200) (150 percent) = (200) (100 percent + 50 percent) = (200) (100 percent) + (200) (50 percent) = (200) (1) + (200) (one-half) = 200 + 100 + 300 (210) (150 percent) = (210) (100 percent + 50 percent) = (210) (100 percent) + (210) (50 percent) = (210) (1) + (210) (one-half) = 210 + 105 = 315

Answer:

The answer is c. (0,-1)

Step-by-step explanation:

So the unit circle is derived from a right triangle.

Answer:

The amplitude is 3.

Step-by-step explanation:

Answer:

A.

[tex](\frac{3}{3+5})(2 - (-14))+ (-14)[/tex]

Step-by-step explanation:

Given

Ratio = 3:5

Q = -14

S = 2

Required

Which solution uses [tex](\frac{m}{m+n})(x_2 - x_1)+ x_1[/tex]

From the given parameters;

[tex]m:n = 2:5[/tex]

[tex]m = 2\ and\ n = 5[/tex]

[tex]x_1 = -14\ and\ x_2 = 2[/tex]

Substitute the above values in [tex](\frac{m}{m+n})(x_2 - x_1)+ x_1[/tex]

This gives:

[tex](\frac{m}{m+n})(x_2 - x_1)+ x_1[/tex]

[tex](\frac{3}{3+5})(2 - (-14))+ (-14)[/tex]

From the list of given options, only option A uses the given form of the formula...

Answer:

[tex]g(x) = \frac{1}{9} \,x^2[/tex] which agrees with option A in the list of possible answers

Step-by-step explanation:

A vertical compression by a factor 9 is represented by the transformation:

[tex]\frac{1}{9} \,f(x) = \frac{1}{9} \,x^2[/tex]

Therefore the answer to the problem is:

[tex]g(x) = \frac{1}{9} \,x^2[/tex]

Answer:

Proved: PM ≅ ON

Step-by-step explanation:

A parallelogram is a quadrilateral with two opposite sides equal and parallel.

Find attached the diagram obtained from the information

From the above definition, quadrilateral MNOP is a parallelogram if:

Line MN is parallel to Line OP

Line ON is parallel to Line PN

From the diagram

Line MN is parallel to Line OP

Side MN is = side OP

Line ON is parallel to Line PN

Side ON is = side PN

Since the geometric size is equivalent

PM ≅ ON

Where ≅ means congruent to

Proved.

Answer:

[tex]a = 30[/tex]

[tex]b = 40[/tex]

Step-by-step explanation:

Given

The attached triangle

Such that K is parallel to L

Required

Find the value of a and b

From the properties of parallel triangles;

Provided that k is parallel to l, then

[tex]\frac{a}{40} = \frac{a+15}{60}[/tex]

Multiply both sides by (60)(40)

[tex](60)*(40)*\frac{a}{40} = (60)*(40)*\frac{a+15}{60}[/tex]

[tex]60a = 40(a+15)[/tex]

Open Bracket

[tex]60a = 40*a+40*15[/tex]

[tex]60a = 40a+600[/tex]

Subtract 40a from both sides

[tex]60a - 40a = 40a - 40a + 600[/tex]

[tex]20a = 600[/tex]

Divide both sides by 20

[tex]\frac{20a}{20} = \frac{600}{20}[/tex]

[tex]a = \frac{600}{20}[/tex]

[tex]a = 30[/tex]

Similarly;

[tex]\frac{b}{40} = \frac{b+20}{60}[/tex]

Multiply both sides by (60)(40)

[tex](60)*(40)*\frac{b}{40} = (60)*(40)*\frac{b+20}{60}[/tex]

[tex]60b = 40(b+20)[/tex]

Open Bracket

[tex]60b = 40*b+40*20[/tex]

[tex]60b = 40b+800[/tex]

Subtract 40b from both sides

[tex]60b - 40b= 40b - 40b + 800[/tex]

[tex]20b= 800[/tex]

Divide both sides by 20

[tex]\frac{20b}{20} = \frac{800}{20}[/tex]

[tex]b = \frac{800}{20}[/tex]

[tex]b = 40[/tex]

Answer:

5/14

Step-by-step explanation:

Multiply.

(-5 × -1 × 4) / (7 × 8)

20/56

Simplify.

5/14

Answer:

The answer is [tex]\frac{5}{14}[/tex].

Step-by-step explanation:

1. -5 × [tex]\frac{-1}{7}[/tex] =  [tex]\frac{5}{7}[/tex]

2.  [tex]\frac{5}{7}[/tex] · [tex]\frac{4}{8}[/tex] = [tex]\frac{20}{56}[/tex]

3. Simplify:

[tex]\frac{20}{56}[/tex]  = [tex]\frac{5}{14}[/tex]

Answer:

[tex]-6[/tex]

Step-by-step explanation:

[tex]y=mx+b[/tex]

[tex]m[/tex] is the slope of the line.

[tex]b[/tex] is the y-intercept.

[tex]y=-6x+3[/tex]

[tex]m=-6[/tex]

[tex]-6[/tex] is the slope of the line.

Answer:

-6

Step-by-step explanation:

The given equation is:

y = -6x+3

The standard slope-intercept equation is:

[tex]y = mx+c[/tex]

Where m is slope and c is y-intercept

Comparing the given equation with standard form, we get:

Slope = m = -6

Answer:

Domain: All real numbers

Range: y ≤ 0

Step-by-step explanation:

The graph of the function h(x) = -343ˣ is shown below.

We can see that the domain of the functions is all real real numbers.

However, Range of the function only includes 0 or the negative values of y, so Range of the function is y ≤ 0.

It can be clearly seen in the graph that when x increase, y decreases, for example for x = -0.5, the value of y is y = -0.05. If x is increase to x = 0, then value of y decreases to y = -1.

Similarly, when x = 0.1, the value of y is y= -1.8 , if x decreases to 0, then y increases to y=-1.8, which shows that when x decreases, y increase.

Answer:

n(n +1) is the Total number of seats in the corner section.

Step-by-step explanation:

We are given that:

Number of seats in first row = 2

Number of seats in second row = 4

Number of seats in third row = 6

:

Number of seats in [tex]n^{th}[/tex] row = [tex]2n[/tex]

We can clearly see that it is an Arithmetic progression with

First term, a = 2

Common Difference, d = 2

[tex]n^{th}[/tex] term, [tex]a_n=2n[/tex]

To find: Total number of seats in corner sections with n rows.

i.e. Sum of n terms of above AP.

Formula for sum of n terms of an AP:

[tex]S_n=\dfrac{n}{2}(2a+(n-1)d)\\[/tex]

Putting the values:

[tex]\Rightarrow \dfrac{n}{2} ({2 \times 2 +(n-1)2})\\\Rightarrow \dfrac{n}{2} (4 +2n-2)\\\Rightarrow \dfrac{n}{2} (2n +2)\\\Rightarrow \dfrac{n}{2} \times 2(n +1)\\\Rightarrow n(n +1)[/tex]

n(n +1) is the Total number of seats in the corner section.

Answer:

c

Step-by-step explanation:

Answer:

35.8° (1 d.p.)

Step-by-step explanation:

Please see the attached pictures for full solution.

Answer:

Step-by-step explanation:

d = √(x₂ - x₁)² + (y₂ - y₁)²

x₂ = 1

x₁ = - 2 1/2 = - 5/2

y₂ = - 3

y₁ = - 3

d = √( 1 + 5/2)² + (- 3 + 3)²

= √(2/2 + 5/2) + 0

= √(7/2)²

= 7/2

= 3  1/2

Answer:

D

Step-by-step explanation:

(-2 1/2, -3) = (-5/2 , -3)    &  (1, -3)

[tex]Distance=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}\\\\ =\sqrt{(1-[\frac{-5}{2}])^{2}+(-3-[-3])^{2}}\\\\ =\sqrt{(1+\frac{5}{2})^{2}+(-3+3)^{2}}\\\\ =\sqrt{(\frac{7}{2})^{2}} \\\\=\frac{7}{2}\\\\=3\frac{1}{2}[/tex]

Answer:

[tex]HG = 5[/tex]

Step-by-step explanation:

Given

[tex]HE = 8mm[/tex]

[tex]EF = 12mm[/tex]

[tex]Area = 68mm^2[/tex]

Find the length of HG

First, it should be noted that the displayed figure is a trapezium

The area of a trapezium is calculated by multiplying the sum of parallel sides by half its height;

In this case;

[tex]Area = \frac{HG + EF}{2} * HE[/tex]

Substitute the values of Area, HE and EF

[tex]68 = \frac{HG + 12}{2} * 8[/tex]

[tex]68 = (HG + 12) * 4[/tex]

Divide both sides by 4

[tex]\frac{68}{4} = \frac{(HG + 12) * 4}{4}[/tex]

[tex]17 = HG + 12[/tex]

Subtract 12 from both sides

[tex]17 - 12 = HG + 12 - 12[/tex]

[tex]5 = HG[/tex]

[tex]HG = 5[/tex]

Hence, the length of HG is 5mm

Answer:

is their any pictures or graphes so i can answer?

Step-by-step explanation:

Answer: d on the edge

Answer:

Step-by-step explanation:

For greater clarity, graph this triangle.  If this triangle is reflected about the y-axis, the point C(0, 2) remains a vertex.  The point B(3, -3) becomes D(-3, -3).  Finally, the point A(4, -1) becomes E(-4, -1).

Answer:

A(4,-1)-> A'(-4,-1) .   B(3,-3)->B'(-3, -3) .  C(0,2) -> C' (0,2)

Step-by-step explanation:

Answer:

I think there is an error in the question because

(f-g) = -4

(f-g) (7) = NO SOLUTION

Step-by-step explanation:

[tex]f(x) = -9x + 2 \\g(x) = -9x + 6\\(f - g)(7)\\(f - g) = -9x + 2 - (-9x+6)\\(f - g) = -9x +2 +9x-6\\(f - g) = -9x +9x+2-6\\(f - g) = -4[/tex]

Answer:

113.1 square mm

Step-by-step explanation:

A=πr2=π·62≈113.09734

Answer:

[tex]= 36\pi \: {mm}^{2} \\ [/tex]

Step-by-step explanation:

[tex]area = \pi {r}^{2} \\ = \pi \times 6 \times 6 \\ = 36\pi \: {mm}^{2} [/tex]

a.

Scottie =  30

Top of the lighthouse =  45   (30+15)

The boat =  0

The fish = -10

b.

10 + 30 = 40

The addition is one of the four fundamental mathematical operations. The Scottie is 40 meters below away from the fish.

The addition is one of the four fundamental mathematical operations, the others being subtraction, multiplication, and division. When two whole numbers are added together, the total quantity or sum of those values is obtained.

The representation of the locations in relation to sea level can be made as,

Scottie = 30 meters above the sea level = +30 meters

Top of the lighthouse = 45 meters above the sea level = +45 meters

The boat = at sea level  = 0 meters

The fish = 10 meters below sea level = -10 meters

B. The Scottie is 40 meters below away from the fish.

Learn more about Addition:

https://brainly.com/question/14092461

#SPJ2

Answer:

function 18/y is defined for all values of y such that [tex]y \in R, y\neq 0[/tex]

Step-by-step explanation:

given data

number = 18/y

solution

in given value 18/y

If y=0, the function will be Undefined.

Because, the function is undefined if its denominator = 0

so that if we determine the function is defined, we will find out for what values the function is undefined and remove it

so, the function 18/y is defined for all values of y such that

[tex]y \in R, y\neq 0[/tex]

Answer:7.4cm

Step-by-step

The approximate height of the plant after 8 weeks is 5.8 centimeters.

Given that:

The graph shows the heights, y (in centimeters), of a plant after a certain number of weeks, x.

Donna drew the line of best fit on the graph.

From the graph, the line of best fit passes through the points (0, 1) and (5, 4).

Now find the equation of the line passing through these points.

The slope of the line is:

m = (4 - 1) / (5 - 0)

   = 3/5

The equation of the line can be written as y = 3/5 x + c.

Now, substitute one of the points, let it be (0, 1).

1 = c

So the equation is y = 3/5 x + 1.

Now, after 8 weeks, x = 8.

y = 3/5 (8) + 1

  = 5.8

Hence the height is approximately 5.8 centimeters.

Learn more about Slope here :

https://brainly.com/question/3605446

#SPJ2

Answer:

7/4 + 9/-5 =

Since the denominator of the second fraction is negative the sign will change from negative to positive

We will get

7/4 - 9/5

First find the LCM

LCM of 4 and 5 is 20

7/4 - 9/5 = 5(7) - 4(9)/ 20

Simplify

We get

35 - 36/20

= -1/20

Hope this helps

Answer:

-1/20

Step-by-step explanation:

7/4 + -9/5

We need a common denominator, which is 20

7/4 *5/5   + -9/5 *4/4

35/20  + -36/20

Add the numerators together

-1/20

Answer:

C

Step-by-step explanation:

Shape C represents the 3D shape's front elevation, side elevation and plan.

Answer:

Step-by-step explanation:

$11/ 47 pound = $0.234 for 1 pound

the cost of buying 47 pound for 11 dollars is cheaper than to buy individual 1 pound bag for 0.45.

Answer:

First, let's find the unit price.

$11 ÷ 47 = $0.23 per pound.

$0.45 ÷ 1 = $0.45 per pound.

As you can see here, the 1 pound bag(smaller bag) clearly costs more per pound. The 47 pound bag(larger bag) costs less.

We can also put the values on a number line to compare.

          $0.23               $0.45

      (larger bag)    (smaller bag)

<-|---------o---------------------o---------|------------------------------------------|->

$0                                         $0.50                                           $1

As you can see, the larger bag is closer to zero.

Hope this helped!

-Emma

Answer:

25.12

Step-by-step explanation:

round pi to first 2 digits after decimal point.

3.14 x 8 =25.12

Answer:

yes their parallel

Step-by-step explanation:

their the same equation just one is negative they go the go next to each other but never touch

Answer:

0.9

Step-by-step explanation:

so cos^-1 (4/13)

so it will be 0.95

if you round it up then it would be 1 if not then just 0.9

the correct answer would be - 3.25cm

here its given that x=4cm , y=4cm and z=13cm.

What are Trigonometric identities ?

Trigonometric identities are equations involving the Trigonometric functions that are true for every value of variables involved.

The question would be solved by applying trigonometry here, Hence, applying trigonometric identity of cos0 which is base upon hypotenuse i.e. B/H

here, a triangle would be constructed wherein, base would be z=13cm

and x and y will define the other 2 lines of 4 cm each and applying cos0=base/hypotenuse , here we get 13/4= 3.25cm.

hence the correct answer is- 3.25cm

learn more about" lines and angles" here

https://brainly.com/question/24607467

#SPJ2

Answer:

Satnam should use 100g of luqid ingerdients.

Step-by-step explanation:

If the batter is 350g and the liquid amount has to be 2/7 of the total weight of the batter than you would take 350 and divide it by 7, wich you would get 50, and that would be 1/7 of the 350; then if 50 is 1/7 then 100 would be 2/7 because you're doubling it.

Answer:

[tex]W(x)=30x+70[/tex]

Step-by-step explanation:

First, we will find the weight of the table. We know that 8 boxes weighs a total of 240 kg since each box weights 30 kg. Then to find the weight of the table, we can subtract the total weight from the weight of the boxes. Thus:

[tex]W_{\text{table}}=310-240=70\text{ kg}[/tex]

So, the weight of the table is 70 kg.

Now, we can write our function. Let [tex]x[/tex] equal the amount of boxes.

The table is a set weight, so that would be our constant.

Thus, we will have:

[tex]W(x)=30x+70[/tex]

Where W(x) represents the weight of the table after adding x boxes.

30x represents the weight each box of book adds to the total. One box equals 30 kg, two boxes equal 60 kg, etc.

The 70 represents the unchanging weight of the table.

Answer:

Step-by-step explanation:

Well first, we need to find the weight of the table. We know that 8 boxes weighs a total of 240kg (since each box weights 30kg). Thus, we can conclude that the table weighs 70kg by doing 310-240=70.Now, we can write our function. Let  equal the amount of boxes.

The table is a set weight, so that would be our constant so, we will have: 30x represents the weight each box of book adds to the total. One box equals 30kg, 2 boxes equal 60kg, etc.The 70 represents the unchanging weight of the table.In terms of W(x), it will be: