Divide 24 in the ratio 1:3

Answer: 0

Step-by-step explanation:

ƒ(x) = −x² – 10x – 9

Putting value of x as -1

the function is as followed:

ƒ(-1)  = -(-1)^2  - 10 (-1) - 9

ƒ(-1)  = -1 +10-9

ƒ(-1)  = 9-9

         = 0

The distance between two opposite corners of the floor is 15.

What is the Diagonal of a Rectangle?

A line segment that connects any two of a rectangle's non-adjacent corners is said to be it's diagonal.

The formula for calculating a rectangle's diagonal length (d) is

                         [tex]d = \sqrt{l^{2} + w^{2} }[/tex]

where,l = length of the rectangle

           w = width of the rectangle

Given, the length of floor (l) = 9 meters

          width of the floor (w) = 12 meters

Then, diagonal,  [tex]d = \sqrt{l^{2} + w^{2} }[/tex]

                 or,      [tex]d = \sqrt{9^{2} + 12^{2} }[/tex]

                  or,     [tex]d = \sqrt{81 + 144 } = \sqrt{225} = 15[/tex]

Hence, the distance between two opposite corners is 15.

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Answer:

Step-by-step explanation:

Answer:

V = 175 cm³

Step-by-step explanation:

the volume (V) of a cuboid is calculated as

V = Ah ( A is the area of the base and h is the height )

here A = 25 and h = 7 , then

V = 25 × 7 = 175 cm³

The dilation of the solid lined triangle is a reduction and the scale factor of the dilation is 1/2. Therefore, the correct answer option is: C. reduction; 1/2.

In Mathematics, the rules listed below should be applied in order to interpret and understand the dilation of a geometric figure:

In this scenario, the dashed line triangle and solid lined triangle are similar based on the Angle Angle Angle (AAA) similarity property. Therefore, we have the following:

Scale factor = Dimension of image/Dimension of original figure

Scale factor = 6/12

Scale factor = 1/2.

Scale factor = Dimension of image/Dimension of original figure

Scale factor = 4/8

Scale factor = 1/2.

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The answer choice which should fill the blank in the task content is; Sometimes.

The maximum value of a linear objective function sometimes occurs at exactly one vertex of the feasible region.

It follows from the task content that the maximum value of a linear function is established as occuring at the vertex of the feasible region; however, it is required to determine if this is always, never or sometimes.

When the graph of a system of inequalities, usually the constraint inequalities forms a region that is closed, the region is said to be bounded and the region is termed the feasible region as all constraints are satisfied in this region.

Furthermore, If the linear programming problem can be optimized, an optimal (minimum or maximum) value will occur at one of the vertices of the region representing the set of feasible solutions.

However, more than one vertex may produce the maximum value; hence, the correct answer choice is; sometimes.

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Camron (E) = 20h, she earns $300 for 15 hours.

acc to our question-

Hence,Camron (E) = 20h, she earns $300 for 15 hours.

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Answer:

5q+5q+5

Step-by-step explanation:

The measurement of  ∠B  is 168°

Given,

In the question:

Angle A and Angle B are supplementary angles.

If mA (x - 9)° and m/B= (7x + 21)°

To find the measure of ∠B

Now, According to the question;

What are supplementary angles?

Two angles are Supplementary when they add up to 180 degrees.

Now, ∠A+∠B = 180°

So,

⇒(x - 9)˚+(7x + 21)°=180°

=> 8x +12 = 180°

=> 8x = 180° - 12

=> 8x = 168

=> x = 168/8

=> x = 21

For the measure of ∠B :

∠B  = (7x + 21)

∠B = 7 x 21 + 21

∠B  = 168°

Hence, The measurement of  ∠B  is 168°

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Solutions for the given expression in the given interval will be {0, π/2, 3π/2}.

What are trigonometric expressions?

Trigonometric identities are, by definition, reciprocal. These formulas show the connections between the sine/cosine functions and tangents.

Refer to the attachment for the Question:

[tex]\sin^2{(\theta)}=2\sin^2{(\frac{\theta}{2})}[/tex]

[tex][2\sin{(\frac{\theta}{2})}\cos{(\frac{\theta}{2})}]^2=2\sin^2{(\frac{\theta}{2})}[/tex]

[tex][4\sin^2{(\frac{\theta}{2})}\cos^2{(\frac{\theta}{2})}]=2\sin^2{(\frac{\theta}{2})}[/tex]

[tex][4\sin^2{(\frac{\theta}{2})}\cos^2{(\frac{\theta}{2})}]-2\sin^2{(\frac{\theta}{2})}=0[/tex]

[tex]2\sin^2{(\frac{\theta}{2})}[2\cos^2{(\frac{\theta}{2})}-1]=0[/tex]

[tex]\sin{(\frac{\theta}{2})}=0[/tex]

[tex]{(\frac{\theta}{2})}=n\pi[/tex]

[tex]\theta=2n\pi[/tex] [Here, n = integer]

[tex]\theta=0,\pi,2\pi,....[/tex]

Therefore,[tex]\theta=0[/tex]  [Since,[tex]0\le \theta < 2\pi[/tex] ]

[tex][2\cos^2{(\frac{\theta}{2})}-1]=0[/tex]

[tex]\cos{\theta}=0[/tex]

[tex]x=\frac{\pi}{2}+\pi n[/tex]  [Here, n = integer]

Therefore,[tex]\theta=\frac{\pi}{2}, \frac{3\pi}{2}[/tex]  [Since, [tex]0\le \theta < 2\pi[/tex]]

Hence, solutions for the given expression will be  {0, π/2, 3π/2}.

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Answer: 243

Step-by-step explanation: the thing that happens every time is the number gets multiplied by 3. 1/3, 1, 3, 9, 27, 81, 243

hope this helps!

please give brainliest!

Answer:243

Step-by-step explanation:The terms are being multiplied by 3. 1/3 times 3 is 1, 1 times 3 is 3, 3 times 3 is 9.

According to the given coordinates, there are 4 set of points will appear on the Kelsey’s graph and the graph is attached below.

Coordinates.

Coordinates refers the locations of points on a grid known as the cartesian plane or coordinate plane.

Given,

Kelsey is going to graph the ordered pairs that are represented by this table on a coordinate plane.

Here we need to find the number of points should appear in Kelsey’s graph.

In order to find the number of points, first we have to plot the table vales on the graph.

Once we plotted the values on the graph then the graph is look like the following graph.

While we looking through the graph we have identified that the points are (-6,-4), (-4, -6), (3, -6) and (5, 0) are presented on the graph.

Therefore, there are 4 points are plotted on Kelsey’s graph.

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As per the slope intercept form, the value of r is 66.

Slope intercept form:

In order to find the slope intercept form, we have to use the formula,

y = mx + c

where

(x, y) refers the point

m refers the slope

c refers the y-intercept.

Given,

Here we have the pair of points (12, 10), (−2, r) and the value of slope which is m = -4.

Now, we need to find the value of r.

We know that the general form of the slope intercept form is

y = mx + c

First we have to use the slope and the point (12, 10), to find the intercept of the line,

So, we have to apply the value on the formula, then we get,

10 = -4(12) + c

10 = -48 + c

c = 58

So, the slope intercept form equation is

y = -4x + 58

In order to find the value of r, we have to apply the point (-2,r) on the equation, then we get,

r = -4(-2) + 58

r = 8 + 58

r = 66

Therefore, the value of r is 66.

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The multiple of I is the imaginary portion. It is customary to write z = a + bi, where a represents the real part and b represents the imaginary part, to represent complex numbers. where b is the imaginary part and a represents the real part. Sum of Real parts and sum of imaginary parts i is (1 + 3i) 

A and b are referred to as the "real component" and "imaginary part," respectively, of the complex number z=a+bi. If a=0, the complex number is "purely imaginary," and if b=0, it is a real number.

Real components add up to 1, while imaginary parts add up to 3i.

A complex number is stated in its standard form as z = x + iy, where x represents the real part and y represents the imaginary part because it is connected to the imaginary axis.

Considering the formula (3 - 5i) + (-2 + 8i).

Collect similar phrases into real and fictitious parts as follows: 

= (3 - 5i) + (-2 + 8i)

= (3 - 2 - 5i + 8i)

=(1 + 3i) 

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The answer would be...

R + 7

Step-by-step explanation:

collect like terms

10r - 2r - 7r + 4 - 3 =

= r + 1

Evaluating the expression in x = -25 and y = 10 gives the value -25.

Here we have the expression:

x + y - 10

And we want to evaluate it in x = -25 and y = 10, this just means that we need to replace the variables in the expression by the correspondent numbers.

Doing that we get:

-25 + 10 - 10

Now we can just simplify this expression:

-25 + 10 - 10 = -25 + (10 - 10) = -25

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It take the auxiliary equipment to fill the order working alone x is 70/3

Formulate based on the conditions stated:

10 * x/(10+x) = 7

In a defined fraction, the denominator cannot be zero.

10+x is not equal 0

Equation from inequality:

10+x=0

Unknown terms should be moved to the left side of the equation:

x = -10

Equation to inequality conversion

x is not equal to 10

As the domain, append the inequality:x is not equal to 10

Divide the common denominator by both sides of the equation:

10x(10+x)/10+x = 7(10+x)

Cut the fractions in half:

10x = 7(10+x)

Use the law of multiplicative distribution

10x = 70 +7x

Unknown terms should be moved to the left side of the equation:

10x-7x=70

combining similar terms 3x =70

Subtract the coefficient of the variable from both sides of the equation:

x = 70/3

the intersection, then: 70/3

get the outcome:x = 70/3

It take the auxiliary equipment to fill the order working alone x is 70/3

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The value of b in the equation  4.2g+ 5 =2.2g + 11 is g = 3   .

In the question ,

it is given that ,

the equation is  4.2g+ 5 =2.2g + 11

on arranging like terms together , we get

4.2g - 2.2g = 11 - 5

2g = 6

g = 6/2

g = 3

the value of g is = 3 .

to check whether the value g = 3 is correct  ,

we substitute g = 3 , in the equation

4.2(3)+ 5 =2.2(3) + 11

12.6 + 5 = 6.6 + 11

17.6 = 17.6

So , the answer that g = 3 is correct .

Therefore , The value of b in the equation  4.2g+ 5 =2.2g + 11 is g = 3   .

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23.

f(x) is just a function in terms of x.

where it says 4f(2) all that means is 4 times the function when x is 2.

To work it out, you just need to swap all xs with 2 and calculate what that is. That gives you f(2), then multiply that answer by 4 to get 4f(2)

Same thing for g(x). First step swap xs for 6 to get g(6) then multiply answer to get 6g(6). At that point, you should have 2 numbers with no x's and you can minus the f by g.

24. Is about compound interest which means that after each year a new amount is worked out rather than a flat amount for the whole 8 years.

2 ways to tackle it, you could work out 8% of each year but that would require you to work it out 8 times which is time consuming and possible to make errors.

2nd way is much easier in that regard.

Final Answer = Initial Amount * (1 + interest rate)^amount of years.

Answer = 5000*(1+0.08)^8

Answer:

-6

Step-by-step explanation:

3(-4)/-2+(-12)

=-12/-2+(-12)

=6-12

=-6

Answer:

Step-by-step explanation:

[tex]y=mx+b\\m=\frac{y_2-y_1}{x_2-x_1}\\(x_1,y_1)=(-3,-5)\\(x_2,y_2)=(-2,-4)\\m=\frac{-4-(-5)}{-2-(-3)}\\m=\frac{-4+5}{-2+3}\\m=\frac{1}{1}\\m=1\\\\y=mx+b\\(-5)=(1)(-3)+b\\b=-2\\\\y=x-2[/tex]

The van will travel 5 miles in 1/4 hours, if its speed is 20 miles/hour.

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Answer:

12

Step-by-step explanation:

pls make me the brainliest

Answer:

  (d)  72.925°

Step-by-step explanation:

You have congruent angles P and Q in triangle PQR, where angle R measures 34.15°. You want to know the measure of angle P.

The angle sum theorem tells you the sum of angles in a triangle is 180°.

  P +Q +R = 180°

  P +P +34.15° = 180° . . . . . substitute equivalents

  2P = 145.85° . . . . . . . . . subtract 34.15°

  P = 72.925° . . . . . . . . divide by 2

The measure of ∠P is 72.925°.

Answer:

1. [tex]3^{2} + 4^{2} = 9 + 16 = 25[/tex]

2. [tex]10^{2} + 8^{2} = 100 + 64 = 164[/tex]

3. [tex]13^{2} + 10^2=169+100=269[/tex]

4. [tex]20^2+5^2=400+25=425[/tex]

5. [tex]15^2-9^2=225-81=144[/tex]

6. [tex]17^2-10^2=289-100=189[/tex]

7. [tex]18^2-14^2=324-196=128[/tex]

8. [tex]20^2-12^2=400-144=256[/tex]

The number of 8 adults will supervise 48 children, 66 children will be supervised by 11 adults and 15 adults will supervise 90 children.

According to the question,

We have the following information:

1 adult supervises 6 children.

Now, for the first one, we have to find number of children to be supervised by 8 adults.

1 adult = 6 children

8 adults = 8*6 children

8 adults = 48 children

Now, for the second one, we have to find the number of adults for 66 children:

1 children = 1/6 adult

66 children = 66/6 adults

66 children = 11 adults

Now, for the third one, we have to find number of children for 15 adults:

15 adults = 15*6 children

15 adults = 90 children

Hence, the number of 8 adults will supervise 48 children, 66 children will be supervised by 11 adults and 15 adults will supervise 90 children.

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Answer: First is 48 Second is 11 Third is 90

Step-by-step explanation: I did it on Khan ✔

Answer:

0.89

Step-by-step explanation:

31.95 is about 32

36.05 is about 36

32/36 is 0.888...

rounded is 0.89

Answer:

.89

Step-by-step explanation:

Using the conversion of expanded form, 7 comes tens place, 8 comes in ones place, 6 comes hundredth place after decimal and 3 comes thousandth place after decimal.

In the given question,

We have to check what number is represented by the expanded form.

The given expanded form is

70+8+6/100+3/1000

The tenths place is represented by the first digit following the decimal. The hundredths place is represented by the digit that follows the decimal. Up until there are no more digits, the remaining ones keep the place values filled in. the quantity.

We have to check in which place what number comes.

Firstly we see the number 70. In the number we can see that 7 is in tens place. So in the chart in place of tens 7 come.

Now we can see that 8 is in ones place. So 8 comes in ones place in chart.

Now we check next number 6/100. As we can see that 6 is divide by 100 so it represent decimal value. Since it is divided by 100 so 6 comes in hundredth place after decimal.

Now we check number 3/1000. As we can see that 3 is divide by 1000 so it represent decimal value. Since it is divided by 1000 so 3 comes in thousandth place after decimal.

The completed chart is below.

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The coordinates of the triangle before and after transformations is below

preimage       image (dilation)         image (translation)

D (3, -1)               D' (12, -4)                       D''(4, -8)

E (2, 0)                E' (8, 0)                         E''(0, -4)

F (1, -2)                F' (4, -8)                        F''(-4, -12)

Dilation is a method of transformation that magnify or shrink the preimage depending on the scale factor

The transformation rule for dilation is as follows

(x, y) for a scale factor of r → (rx, ry)

The translation is down 4 units and left 8 units, the transformation rule is

(x, y)  → (x - 8, y - 4)

The transformation rule is applied as shown

preimage                        image (dilation)                   image (translation)

D (3, -1)  → (3 * 4, -1 * 4) → D' (12, -4)   → (12 - 8, -4 - 4) → D''(4, -8)

E (2, 0)  → (2 * 4, 0 * 4) → E' (8, 0)      → (8 - 8, 0 - 4)   → E''(0, -4)

F (1, -2)  → (1 * 4, -2 * 4) → F' (4, -8)     → (4 - 8, -8 - 4)  → F''(-4, -12)

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a) The first three terms of the sequence are 21, 24 and 29.

b) There are 6 terms in the sequence are less than 50.

What is Geometric sequence?

An sequence has the ratio of every two successive terms is a constant, is called a Geometric sequence.

Given that;

The nth term of a sequence is,

⇒ n² + 20

Now,

Since, The nth term of a sequence is,

⇒ n² + 20

First term of the sequence is,

⇒ n² + 20

⇒ 1² + 20

⇒ 1 + 20

⇒ 21

Second term of the sequence is,

⇒ n² + 20

⇒ 2² + 20

⇒ 4 + 20

⇒ 24

Third term of the sequence is,

⇒ n² + 20

⇒ 3² + 20

⇒ 9 + 20

⇒ 29

Thus, The first three terms of the sequence are 21, 24 and 29.

And, The fourth term of the sequence is,

⇒ n² + 20

⇒ 4² + 20

⇒ 16 + 20

⇒ 36

And, The fifth term of the sequence is,

⇒ n² + 20

⇒ 5² + 20

⇒ 25 + 20

⇒ 45

The sixth term of the sequence is,

⇒ n² + 20

⇒ 6² + 20

⇒ 36 + 20

⇒ 56

So, There are 6 terms in the sequence are less than 50.

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