what is 3² in xpoient

Step-by-step explanation:

x=10+4=14

14+14=28

the answer is 28 fts

Answer:

Step-by-step explanation:

The image attached shows the context that the problems refered.

Notice that two acute angles from those triangles are congruent, just because their complement are also congruent.

[tex]\angle AOB \cong \angle COD[/tex]

[tex]\angle AOB= \angle COD=90\° - a[/tex]

Remember that the tangent function is defined as

[tex]tan(\theta)=\frac{Opposite \ Leg}{Adjacent \ Leg}[/tex]

Replacing each equiavlence, we have

[tex]tan(90-a)=\frac{6}{4}=\frac{10}{x}[/tex]

Then, we solve for [tex]x[/tex]

[tex]\frac{6}{4} =\frac{10}{x}\\ x=\frac{40}{6}\\ x \approx 6.67 ft[/tex]

Thereofre, the answer is 6.67 feet, approximately.

Answer:

Domain:  -∞ < x < +∞

Range : 2 ≤ f(x) < +∞

Step-by-step explanation:

See the graph attached to this question.

The two arrow shows the graph of a function y = f(x).

Now, the value of x varies from +∞ to -∞.

So, the domain of the function is -∞ < x < +∞

Again from the graph the range of the function i.e. values of y varies from 2 to +∞ and including 2.

Therefore, the range of the function is 2 ≤ f(x) < +∞ (Answer)

Slope is already given in the question so we only need to solve for the y-intercept.

Slope intercept form: y = mx + b

m = slope

b = y-intercept

-3/5 = -0.6

1 = -0.6(1) + b

1 = -0.6 + b

1 + 0.6 = -0.6 + b + 0.6

1.6 = b

Now, write in slope-intercept form.

y = -3/5x - 1.6

______

Best of Luck,

Wolfyy :)

Answer:

1. f

2.b

3. d

4. a

5. e

6. g

7. c

Step-by-step explanation:

The parent function is [tex]y = 3 (5)^{x}[/tex].

So,  

1. [tex]y = - 3 (5)^{x} + 4[/tex] ≡ f. reflected across x-axis and 4 units up

2. [tex]y = 3 (5)^{x - 4} - 4[/tex] ≡ b. 4 units down and 4 units right.

3. [tex]y = 3 (5)^{x + 4} + 4[/tex] ≡ d. 4 units up and 4 units left.

4. [tex]y = - 3 (5)^{x} - 4[/tex] ≡ a. reflected across x-axis and 4 units down.

5. [tex]y = 3 (5)^{x} - 4[/tex] ≡ e. 4 units down

6. [tex]y = 3 (5)^{x} + 4[/tex] ≡ g. 4 units up.

7. [tex]y = 3 (5)^{x - 4}[/tex] ≡ c. 4 units right. (Answer)

Answer:

x=-1 and x=-2

Step-by-step explanation:

Given

[tex]f(x)=\dfrac{1}{(x+1)(x+2)}[/tex]

This function is undefined when the denominator becomes 0. Find values of x for which the denominator is 0:

[tex](x+1)(x+2)=0\\ \\x+1=0\ \text{or}\ x+2=0\\ \\x=-1\ \text{or}\ x=-2[/tex]

Thus, the lines with equations [tex]x=-1[/tex] and [tex]x=-2[/tex] represent vertical asymptotes (see attached graph)

Answer: -1 and -2

Step-by-step explanation:

[tex]\bf 18-\sqrt{-25}\implies 18-\sqrt{-1\cdot 25}\implies 18-\sqrt{-1}\cdot \sqrt{25}\implies 18-5i[/tex]

Answer: 18-5i

Step-by-step explanation:

Answer:

The measure of angle F is m∠F=130°

Step-by-step explanation:

step 1

Find the measure of angle E

we know that

An isosceles triangle has two equal sides and two equal interior angles

In this problem

DF=EF ----> given problem

so

Triangle DEF is an isosceles triangle

m∠D=m∠E

we have

m∠D=25°

substitute

m∠E=25°

step 2

Find the measure of angle F

we know that

The sum of the measures of the interior angles in a triangle must be equal to 180 degrees

so

m∠D+m∠E+m∠F=180°

substitute the values

25°+25°+m∠F=180°

50°+m∠F=180°

m∠F=180°-50°

m∠F=130°

Answer:

w=4

Step-by-step explanation:

10+15(w-2)=40

distribute the 15

10+15w-30=40

combine like terms

-20 + 15w = 40

15w=60

w=4

Answer:

Let x be the number

5 times a number:

5x

The quotient of the number and 2.

5x / 2

Final answer:

The 'quotient of 5 times a number and 2' can be expressed as '5x/2', where 'x' is the unknown number. Important mathematical concepts, such as order of operations, exponents, and percentages, influence how we calculate and understand such expressions.

Explanation:

The statement 'The quotient of 5 times a number and 2' represents a mathematical expression, where you are asked to first multiply a number by 5 and then divide that product by 2. To elucidate, let us assume the unknown number is represented by 'x'. So we multiply 5 by 'x' to get '5x', and then we divide that by 2 to get the final expression, which is '5x/2'. In this case, we are dealing with division, which is opposite to multiplication, and it's important to follow the correct order of operations when solving mathematical problems.

Answer:

1. The required slope m, for the context is[tex]m = \frac{-25}{3}[/tex]

2. The y-intercept in the context is [tex]P_{2}(d) = y = 100[/tex]

3. The x-intercept of the linear model is [tex]d = x = 12[/tex]

Step-by-step explanation:

Given:

[tex]P_{2}(d) = \frac{-25}{3}\times d + 100[/tex]

Where,

[tex]P_{2}[/tex] is the number of phones.

d is the number of days he has worked that week.

This is a linear model type equation.

Can be represented in the slope intercept form  which is equal to

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

Where,

m = Slope of the line.

c = y-intercept.

Now if we compare the given model by slope intercept formula we get

[tex]m = \frac{-25}{3}\\\\c = 100[/tex]

So ,the slope in the context of the problem is [tex]m = \frac{-25}{3}[/tex].

and the y intercept in the context of the problem [tex]P_{2}(d) = c = y = 100[/tex]

For finding x-intercept put y = 0

Here,[tex]P_{2}(d) = 0[/tex]

[tex]\therefore 0 = \frac{-25}{3}\times d + 100\\ \therefore \frac{25}{3}\times d = 100\\\therefore d=\frac{300}{25}\\\therefore d=12[/tex]

So, the x intercept of the linear model is [tex]d = x = 12[/tex]

Answer:

y = -2

Step-by-step explanation:

to do this, you have to plug in -8 for x

7(-8) - 2y = -52

-56 - 2y = -52

+56          +56

-2y = 4

/-2     /-2

y = -2

Answer:

12.  x = 50

13.  m∠M = 34°

Step-by-step explanation:

12.

Since the triangles are congruent, the sides' lengths are proportional. We can set up a ratio and solve for x.

Side JG corresponds to Side KM

Side HG corresponds to Side LM

Now, we can set up a ratio, cross multiply, and solve for x. Shown below:

[tex]\frac{35}{70}=\frac{25}{x}\\35x=70*25\\35x=1750\\x=\frac{1750}{35}\\x=50[/tex]

Thus, the value of x is 50

13.

The triangles are similar, so sides are proportional and angles are not related in the same way. Angles are same for both.

We want the value of Angle M, that angle corresponds to Angle G of the left triangle.

It is given that Angle G = 34, so Angle M would be the same degree measure as well.

Hence,

m∠M = 34°

Answer:Can You please like this I want to rank up

Step-by-step explanation:

Press the Heart

P.S. Please

Final answer:

The costs for members and nonmembers of a local fitness center will be the same after attending 6 aerobics classes. Members have an initial $12 membership fee plus $2 per class, while nonmembers pay $4 per class.

Explanation:

To find the number of aerobics classes for which the cost for members and nonmembers will be the same, we need to set up an equation that compares the two cost structures. For members, the cost is a $12 membership fee plus $2 per class, which we can express as Cm = 12 + 2n, where Cm is the cost for members and n is the number of classes. For nonmembers, the cost is $4 per class, so we can express that as Cnm = 4n, where Cnm is the cost for nonmembers.To find the number of classes where costs are the same, we set Cm equal to Cnm:

Subtract 2n from both sides: 12 = 2n

Divide both sides by 2: n = 6

Therefore, the costs for members and nonmembers will be the same when they attend 6 aerobics classes.

Answer: 42 pages

Step-by-step explanation: 6 pages x 7 days= 42 pages

Answer:

14b - 10ab + 34a²b - 64a²b²

Step-by-step explanation:

We have to simplify the expression

2ab + 3b + 7b + 3a × 3a × b + 4b - 8ab × 8ab + 5a × 5a × b - 12ab

= 2ab + 3b + 7b + 9a²b + 4b - 64a²b² + 25a²b - 12ab

{Since (3a × 3a × b) = 9a²b, (8ab × 8ab) = 64a²b² and (5a × 5a × b) = 25a²b}

= 2ab + 10b + 9a²b + 4b - 64a²b² + 25a²b - 12ab  

= 14b - 10ab + 34a²b - 64a²b² (Answer)

The equation of the circle in standard form is: (x + 2)² + (y - 1)² = 1

What is the equation of the circle?

The general form of the equation of a circle is:

(x - h)² + (y - k)² = r²

Where;

(h, K) is the coordinate of the center of the circle.

r is radius.

To find the equation of the circle in standard form, we need to determine the center and radius of the circle.

Since the center of the circle lies on the line y = 3x + 1 and is tangent to the x-axis at (-2,0), we can determine that the center of the circle is (-2,1) and the radius is 1.

Therefore, the equation of the circle in standard form is:

(x + 2)² + (y - 1)² = 1

Answer: 91/288

Step-by-step explanation: To divide mixed numbers, first write the mixed numbers as improper fractions.

We can do this by multiplying the denominator by the whole number and then adding the numerator. Then, we put our new numerator over our old denominator.

So here, we can write 1 and 5/8 as the improper fraction 13/8 and we can write 5 and 1/7 as the improper fraction 36/7.

So here, we have 13/8 ÷ 36/7.

Dividing by a fraction is the same as multiplying by the reciprocal of that fraction.

So here, 13/8 ÷ 36/7 is the same as 13/8 × 7/36.

So now we are simply multiplying fractions and we do this by multiplying across the numerators and multiply across the denominators.

[tex]\frac{13}{8} x \frac{7}{36} = \frac{91}{288}[/tex]

So now we have 91/288 which is in lowest terms.

This means that 1 and 5/8 divided by 5 and 1/7 is 91/288.

Answer:

Corn was planted in 24 sq.ft. of the vegetable garden.

Step-by-step explanation:

Length of garden = 9 ft

width of garden = 8 ft

Hence we will first find the total area of garden.

Total area of garden = length × width = [tex]8 \times 9 = 72ft^2[/tex]

He planted 1/2 of the garden with vegetables.

Hence.

Area of Vegetables garden = [tex]\frac{1}{2}\times \textrm{Total Area of Garden} = \frac{1}{2}\times 72 = 36ft^2[/tex]

He planted tomatoes in 1/3 of the vegetable garden and corn in the rest

Area in which tomatoes was planted = [tex]\frac{1}{3}\times \textrm{Area of Vegetables Garden} = \frac{1}{3}\times 36 = 12ft^2[/tex]

Hence Area in which corn were planted = Area of Vegetables garden - Area in which tomatoes was planted = [tex]36ft^2-12ft^2=24ft^2[/tex]

Hence Area of vegetable garden in which corn was planted is 24 sq.ft.

Answer:

27/12

Step-by-step explanation:

6 3/4=27/4

(27/4)/3

(27/4)(1/3)=27/12

Answer:

40 girls 80 boys

Step-by-step explanation:

80/2=40

40+80=120

Answer:

80 girls

Step-by-step explanation:

120/3 = 40.

40 x 2 = 80

Answer:

Step-by-step explanation:

A) 1/7, 3/7, 9/7, 27/7,81/7

Explanation: actually in it we simply multiply the nominator with 3.

B) 24,12,6,3,1.5

Explanation: In this we simply half the value or we can say that divided by 2.

Answer:

The linear equation is 1.25x + 0.5x = y

Step-by-step explanation:

1. Let's review the data given to us for solving the question:

Price of ride ticket at country fair = US$ 1.25

Total spent by Tom for rides and admission= US$ 43.75

Number of ride tickets bought by Tom = 25

Price of admission is the same for everyone

Total cost = y

Number of tickets = x

2. Let's find out the cost of the admission:

Total cost of ride tickets + Total cost of admission = Total cost of rides tickets and admission

Replacing with real values:

1.25 * 25 + Cost of admission * 25 = 43.75

31.25 + 25 * Cost of admission = 43.75

25 * Cost of admission = 43.75 - 31.25 (Subtracting 31.25 at both sides)

25 * Cost of admission = 12.50

Cost of admission = 12.50/25 (Dividing by 25 at both sides)

Cost of admission = 0.50

3. Let's write a linear equation to determine the cost for rides tickets and admission:

Total cost of ride tickets + Total cost of admission = Total cost of rides tickets and admission

Total cost = y

Number of tickets = x

1.25x + 0.5x = y

The first five terms of the sequence are:

6 , 8 , [tex]\frac{32}{3}[/tex] , [tex]\frac{128}{9}[/tex] , [tex]\frac{512}{27}[/tex]

Step-by-step explanation:

The recursive formula of the sequence is

[tex]a_{1}=6[/tex] and [tex]a_{n}=\frac{4}{3}*a_{n-1}[/tex]

To find the first five terms do that:

∵ [tex]a_{1}=6[/tex]

∴ [tex]a_{2}=\frac{4}{3}*6[/tex]

∴ [tex]a_{2}=8[/tex]

∵ [tex]a_{2}=8[/tex]

∴ [tex]a_{3}=\frac{4}{3}*8[/tex]

∴ [tex]a_{3}=\frac{32}{3}[/tex]

∵ [tex]a_{3}=\frac{32}{3}[/tex]

∴ [tex]a_{4}=\frac{4}{3}*\frac{32}{3}[/tex]

∴ [tex]a_{4}=\frac{128}{9}[/tex]

∵ [tex]a_{4}=\frac{128}{9}[/tex]

∴ [tex]a_{5}=\frac{4}{3}*\frac{128}{9}[/tex]

∴ [tex]a_{5}=\frac{512}{27}[/tex]

The first five terms of the sequence are:

6 , 8 , [tex]\frac{32}{3}[/tex] , [tex]\frac{128}{9}[/tex] , [tex]\frac{512}{27}[/tex]

Learn more:

You can learn more about sequences in brainly.com/question/1522572

#LearnwithBrainly

Answer:

The segment area [tex]= 113.09\ unit^2[/tex]

Step-by-step explanation:

Area of the segment = [tex]\frac{(\theta)}{360} \times \pi r^2[/tex],where [tex]\theta[/tex] is the angle.

We can also say that [tex]90\ degrees[/tex] is covered with one segment and we have total [tex]4[/tex] segments (quadrants),so area of the circle divided by [tex]4[/tex] will give us the segement area of the arc.

So area [tex]\frac{\pi r^2 }{4} =\frac{\pi(12)^2}{4} = 113.09\ units^2[/tex]

So the area of the segment [tex]= 113.09 \ units^2[/tex]

Answer:

From given option ,  the equation of parabola is                                            y = negative x² divided by 12

Step-by-step explanation:

Given as for parabola :

The focus is at (0 , - 3)

The directrix equation is y = 3

Now, equation of parabola parallel to y-axis is

( x - h )² = 4 p ( y - k )

where focus is ( h , k+p )   and  directrix equation is y = k - p

So, from equation

h  = 0     and   k + p = - 3

And y = k - p   i.e k - p = 3

Now solving  ( k + p ) + (  k - p ) = - 3 + 3

or, 2 k = 0  ∴ k = 0

Put the value of k , k + p = - 3

So, 0 + p = - 3    ∴ p = - 3

Now equation of parabola with h = 0  , k = 0  , p = - 3

( x - h )² = 4 p ( y - k )

I.e ( x - 0 )² = 4 × ( - 3 ) ( y - 0 )

Or, x² = - 12 y   is the equation of parabola

Hence  From given option ,  the equation of parabola is                                y = negative x² divided by 12       Answer

Answer:

$697

Step-by-step explanation:

25% × 4 = 100%

174.25 × 4 = 697

Answer:

174.25

Step-by-step explanation:

174.25 × 4 = 697

697 × 0.25 = 174.25

Answer: 174.25

Answer:

The absolute value of a number is its distance from zero on the number line. For example, -7 is 7 units away from zero, so its absolute value would be 7

|-4|=4

|1|=1

Step-by-step explanation:

the absolute value of - 4.5 = | - 4.5 | = + 4.5

the absolute value of 1 = | 1 | = + 1

Answer:

B

Step-by-step explanation:

Answer:

a. no

Step-by-step explanation:

The sequence is arithmetic.  It has a common difference of 14.

7 + 14 = 21

21 + 14 = 35

35 + 14 = 49

A geometric series has a common ratio (multiplication).  For example:

7 × 3 = 21

21 × 3 = 63

63 × 3 = 189