I don't under stand what is wrong.

Answer: Growth rate of 5.9%

Step-by-step explanation:

Since 1.059>1, it represents growth.

[tex]1+r=1.059 \\ \\ r=0.059=\boxed{5.9\%}[/tex]

If triangles AMN and ABC are similar, then

AM/AB = AN/AC

or

AM/(AM + MB) = AN/(AN + NC)

Check if this is true:

AM/AB = 21/(21 + 9) = 21/30 = 7/10

AN/AC = 14/(14 + 6) = 14/20 = 7/10

The angle at vertex A is common to both of the triangles.

Then by the side-angle-side (SAS) similarity theorem, the triangles are indeed similar.

Answer:

C

Step-by-step explanation:

equate d to 4 and solve for t , that is

- 9x² + 40 = 4 ( subtract 40 from both sides )

- 9x² = - 36 ( divide both sides by - 9 )

x² = 4 ( take square root of both sides )

x = [tex]\sqrt{4}[/tex] = 2

It takes 2 seconds for the skateboarder to be 4m from bottom of hill

The value of x must be 25.0. The correct option is the second option-  25.0

From the question, we are to determine the value of x

From the given diagram, we can write that

m ∠SOR + m ∠UOR + m ∠TOU = 180° (Sum of angles on a straight line)

∴ (2x +8)° + (3x - 14)° + (3x -14)° = 180°

2x° + 8° + 3x° -14° + 3x° -14° = 180°

Collect like terms

2x° + 3x° + 3x° + 8° - 14° -14° = 180°

8x° -20° = 180°

8x° = 180° + 20°

8x° = 200°

x = 200/8

x = 25.0

Hence, the value of x must be 25.0. The correct option is the second option-  25.0

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Answer:

25.0

Step-by-step explanation:

just took it

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Answer:

Step-by-step explanation:

AB = DC

AD = BC

we use AB and DC

6x - 26 = 8x - 38

-26 + 38 = 8x - 6x

12 = 2x

x = 12 : 2

x = 6

---------------

check

6 * 6 - 26 = 8 * 6 - 38

36 - 26 = 48 - 38

10 = 10

the answer is good

now we use AD and BC

6y + 12 = 3x + 24

-3x + 6y - 12 = 0

3y - 12 = 0

3y = 12

y = 12 : 3

y = 4

----------------------

check

6 * 4 + 12 = 3 * 6 + 24

24 + 12 = 12 + 24

36 = 36

the answer is good

Answer:

D

Step-by-step explanation:

Answer:

positive cuz positive is greater than negative

Answer:

$290.55

Step-by-step explanation:

We can use a ratio to solve

33 hours            39 hours

---------------- = -------------

245.85              x dollars

Using cross products

33 * x = 39* 245.85

33x=9588.15

Divide each side by 33

33x/33 = 9588.15-33

x =290.55

Answer:

total weight in pounds = 22 lb

Step-by-step explanation:

Let's first find out the total weight in kilograms.

total weight = 4 x 2.5 kg = 10 kg

The approximation for kilograms (kg) to pounds (lb) is 1 kg = 2.2 lb.

So if 1 kg is 2.2 lb, 10 kg is 10 times more.

10 kg = 10 x 2.2 lb = 22 lb

The value of a is 1/4 and the equation of the parabola is (x-2)² = (y+2)

A parabola is a u shaped curve. It is a plane curve whose all points are at a fixed distance form a point called focus.

(x-h)² = 4a(y-k)

It is given that the parabola goes through the point (3, -1), and the vertex is at (2, -2).

Therefore
(x -2)² = 4a(y +2)

The parabola passes through the point (3,-1)

(3-2)² = 4*a(-1+2)

1 = 4 a

a = 1/4

The equation of the parabola is

(x-2)² = (y+2)

Therefore The value of a is 1/4 and the equation of the parabola is (x-2)² = (y+2)

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Answer:

The correct answer is B.

Step-by-step explanation:

Pay per month depends on hours of training, so hours of training is the domain, and pay per month is the range.

The value of the diagonal will be equal to 20√2.

Pythagorean theorem states that in the right angle triangle the hypotenuse square is equal to the square of the sum of the other two sides.

The value of the diagonal by the Pythagorean theorem.

H²  =  B²  +  P²

H²  =  20²  +   20²

H²  =  400   +  400

H  =  √800

H  =  20√2

Therefore the value of the diagonal will be equal to 20√2.

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Using the line of best fit, it is found that a person would remember 5 words after being distracted by 7 text messages.

Researching the problem on the internet, it is found that it states that the number of words a person remembers after being distracted by x text messages is given by a linear function.

Looking at the line, it is found that when x = 7, N(x) = 5, hence a person would remember 5 words after being distracted by 7 text messages.

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Answer:

-0.5

Step-by-step explanation:

Step-by-step explanation:

oh, come on. you can just use common sense.

a local minimum is a point where the curve goes down to, and then turns around and starts to go up again. that point in the middle, where it turns around and does not go down any further, is the minimum.

for the maximum the same thing applies, just in the other direction (the curve goes up and turns around to go back down again).

a)

the local minimum values (y) are

-2, -1

b)

the values of x where it had these minimum values are

-1, +3

Answer:

10√7

Step-by-step explanation:

[tex]4 \sqrt{7} + 3 \times 2 \sqrt{7} \\ 4 \sqrt{7} + 6 \sqrt{7} \\ 10 \sqrt{7} [/tex]

Answer:

10√7    

Step-by-step explanation:

To combine the radicals, you must have the same number under both radicands. Luckily, you can simplify one of the radicands. This is done by separating the radicand (√28) into its common factors (√4 x √7) and taking the square root of one of the factors (√4 = 2).

4√7 + 3√28                                 <---- Original expression

4√7 + 3(√4 x √7)                         <---- Expand √28

4√7 + (3 x 2)√7                           <----- Take √4

4√7 + 6√7                                   <---- Multiply coefficients

10√7                                            <---- Add both terms

The shape of the barrier is a circle with a diameter of 5 feet. The correct option is the last option - A circle with a diameter of 5 feet

From the question, we are to determine the statement that describes the shape of the barrier

From the given information,

The barrier is 2.5 feet from the tomato plant in every direction.

This can be likened to a circle that has a radius of 2.5 feet.

Recall: Radius of a circle is the distance from the center of the circle to any point on it's circumference

If radius of a circle is 2.5 feet, the diameter will be 2 × 2.5 feet = 5 feet

Hence, the shape of the barrier is a circle with a diameter of 5 feet. The correct option is the last option-  A circle with a diameter of 5 feet

Here is the complete question:

Serena constructed a wire barrier to protect her tomato plant from squirrels. The barrier is 2.5 feet from the tomato plant in every direction. Which statement describes the shape of the barrier?

A circle with a radius of 5 feet

A square with diagonals 5 feet long

A square with sides 5 feet long

A circle with a diameter of 5 feet

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The angles NOS, NOT, NOU, VOR, VOQ, VOP​ are obtuse angles

An angle whose measure is more than 90 degree is called an obtuse angle.

In the given figure , the angles which have value more than 90 degree needs to be found.

The angles NOS, NOT, NOU, VOR, VOQ, VOP​ are obtuse angles as their measure is more than 90 degree.

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Answer:

$113.64

Step-by-step explanation:

0.88 x $113.636364 = 100 euros

= $113.64

(Hope this helps ^-^)

Answer:

Bala = 279$

Peter = 1395$

Step-by-step explanation:

Peter has 5 times as much Money as Bala.

They have $1674 in total.

How much more money has Peter than bala

Bala has 1 unity

Peter has 5 unity

total unity = 6

Find 1 unity

1674 : 6 = 279

Bala = 279

Peter = 5 * 279 = 1395

The population of the town in 1960 is 48.80 thousands

The equation of the model is given as:

f(t) = 42e^(0.015t)

1960 is 10 years after 1950.

This means that:

t = 10

Substitute t = 10 in f(t) = 42e^(0.015t)

f(10) = 42e^(0.015 * 10)

Evaluate

f(10) = 48.80

Hence, the population of the town in 1960 is 48.80 thousands

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[tex] \huge \qquad \sf \: Answer[/tex]

Here we go ~

1. A circle can be named by their Centre, so here in the diagram it's :

2. Name 4 radii :

Radii are the line segments that joins the centre and boundary of circle.

They are :

3. 2 Major arcs :

considering two points on a circle, and joining them forms a curve ( you can say part of circumference )

When we consider two points two arcs are formed and the arc with more length is known as Major Arc

That is :

4. A Semicircle :

Semicircle is special arc which is formed when two arcs formed by the points are equals to one another... it's also half the Perimeter of circle.

that is :

5. 3 minor arcs :

The arc formed by two points having lesser length is known as minor arc.

that is :

6. 3 Central angles :

Central angles are angles formed by arcs on centre of the circle ~

that is :

7. A diameter :

Diameter is a chord that passes through centre of the circle.

8. Congruent Angles :

In the given figure, there are two equal/congruent angles that are ~

9. Adjacent arcs :

The arcs that have one common end point are known as Adjacent arcs ~

that are :

Answer:

A circle is named by its center.  The center of the given circle is A, therefore:

Name of the circle:  A

The radius is any line segment from the center of the circle to the perimeter.

Name 4 radii:  [tex]\sf AC, \quad AB, \quad AG, \quad A\,F[/tex]

A major arc is an arc whose measure is greater than 180°.

When naming a major arc, the first point and last point are the endpoints, and we also need include the name of any point between those two endpoints.

2 major arcs:  [tex]\sf \widehat{CEG},\quad \widehat{BCF}[/tex]

A semi-circle is half a circle with an arc that measures 180°.

Its endpoints lie on the diameter of the circle.  We need three points to name a semicircle (the endpoints and a point between the endpoints).

A semi-circle:  CEF

A minor arc is an arc whose measure is less than 180°.

3 minor arcs:  [tex]\sf \widehat{FG}, \quad \widehat{GB}, \quad \widehat{BC}[/tex]

A central angle has its vertex at the center of the circle, and is formed by 2 radii.  When naming the central angle, the middle letter is the center of the circle.

3 central angles:  [tex]\sf \angle F\,AG, \quad \angle GAB, \quad \angle BAC[/tex]

The diameter is the widest part of the circle.  It is a straight line segment that passes through the center of the circle.

A diameter:  CF

Congruent angles are angles with the same measure.
On the diagram, the same angle measures are indicated by the addition of the same number of dashes on the angle sign.

Congruent angles:  [tex]\sf \angle F\,AG, \quad \angle GAB[/tex]

Adjacent arcs are arcs that have one point in common.

Adjacent arcs:  [tex]\sf \widehat{GB}[/tex] and [tex]\sf \widehat{BC}[/tex]  (they share point B)

The expanded form of V(x) = x(9-2x) (11-2x) is V(x)  = 4x^3 - 20x^2 + 99x

The missing information in the question is to express V(x) in standard form

We have:

V(x) = x(9-2x) (11-2x)

Open the brackets

V (x) = x(99 - 2x - 18x + 4x^2)

Evaluate the like terms

V (x) = x(99 - 20x + 4x^2)

Expand

V (x) = 99x - 20x^2 + 4x^3

Rewrite as:

V(x)  = 4x^3 - 20x^2 + 99x

Hence, the expanded form of V(x) = x(9-2x) (11-2x) is V(x)  = 4x^3 - 20x^2 + 99x

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Answer:

65

Step-by-step explanation:

The least integer value that satisfies the inequality   [tex]2^{x-7} - 3[/tex] ≥ y is 7.

Exponential function, as its name suggests, involves exponents. But note that, an exponential function has a constant as its base and a variable as its exponent but not the other way round.

Here, In the given function

            Least possible value of 2ˣ⁻⁷ is 1

                     2ˣ⁻⁷ = 2⁰

    On comparing both sides, we get

                 x-7 = 0

                  x = 7

Thus, The least integer value that satisfies the inequality   2ˣ⁻⁷-3≥ y is 7.

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Answer:

7

Step-by-step explanation:

edg 2022

Answer:

2 [tex]\leq[/tex] x [tex]\leq[/tex] 7

Step-by-step explanation:

See attachment.

Answer: F

Step-by-step explanation:

We know the angle is in the first quadrant, so its argument is in between 0 and 90 degrees.

Also, its modulus is the distance from the origin, which in this case is [tex]\sqrt{3^2 + 1^2}=\sqrt{10} \approx 3.16[/tex]

The answer that best matches this is F