Compare 2.95 to 2.949

Answer:

(x + 3)(3x - 10)

Step-by-step explanation:

[tex]3 {x}^{2} - x - 30 \\ = 3 {x}^{2} + 9x - 10x - 30 \\ = 3x(x + 3) - 10(x + 3) \\ = (x + 3)(3x - 10) \: are \: the \: required \: factors.[/tex]

To factor the expression [tex]3x^2-x-30[/tex], use factoring by grouping. The factored form is (3x + 3)(x - 10).

To factor the expression [tex]3x^2-x-30[/tex], we can use factoring by grouping or the quadratic formula. Let's use factoring by grouping:

Step 1: Multiply the leading coefficient (3) by the constant term (-30) to get -90.

Step 2: Find two numbers whose product is -90 and whose sum is the coefficient of the linear term (-1). In this case, the numbers are -10 and 9.

Step 3: Rewrite the middle term (-x) as the sum of the numbers found in step 2 (-10x + 9x).

Step 4: Group the terms and factor out the greatest common factor from each group (3x(x - 10) + 3(x - 10)).

Step 5: Factor out the common binomial (x - 10) from each group to get the final factored form: (3x + 3)(x - 10).

The total area of mat without painting is 136 square inches.

The original painting is 19 inches long by 11 inches wide. When Ramon adds a 2-inch border to each side of the painting's length and width, the overall dimensions of the mat become:

Length with border: 19 inches + 2 inches + 2 inches = 23 inches

Width with border: 11 inches + 2 inches + 2 inches = 15 inches

To find the area of the mat, one must calculate the area of the border plus the painting and then subtract the area of the painting:

Calculate the area of the full mat with the painting: 23 inches  imes 15 inches = 345 square inches.

Calculate the area of the painting alone: 19 inches  imes 11 inches = 209 square inches.

Subtract the area of the painting from the full area to get the area of the mat: 345 square inches - 209 square inches = 136 square inches.

Answer:

Mae will have 21 points at the end of the test.

Step-by-step explanation:

3x7=21

Answer: 21 points

Step-by-step explanation:

If you have if she has seven wrong, and each question makes you lose 3 points. you can 21.  

uh

probably beyonce cuz there more songs on the playlist. what kinda quiz is this

Answer:

uh

probably beyonce cuz there more songs on the playlist. what kinda quiz is this

Step-by-step explanation:

Answer:

v = 7

is the value for which

x = (-21 - √301)/10

is a solution to the quadratic equation

5x² + 21x + v = 0

Step-by-step explanation:

Given that

x = (-21 - √301)/10 .....................(1)

is a root of the quadratic equation

5x² + 21x + v = 0 ........................(2)

We want to find the value of v foe which the equation is true.

Consider the quadratic formula

x = [-b ± √(b² - 4av)]/2a ..................(3)

Comparing (3) with (2), notice that

b = 21

2a = 10

=> a = 10/2 = 5

and

b² - 4av = 301

=> 21² - 4(5)v = 301

-20v = 301 - 441

-20v = -140

v = -140/(-20)

v = 7

That is a = 5, b = 21, and v = 7

The equation is then

5x² + 21x + 7 = 0

Answer:

2^20/3^8

Step-by-step explanation:

Answer:

336 plants

Step-by-step explanation:

To find the number of tickseed plants that Michael needs to plant in his garden, we have to find the area of the garden first.

We notice that the garden has the shape of a right triangle: so, we have to find the area of the right triangle.

The area of a triangle is given by the formula

[tex]A=\frac{1}{2}bh[/tex]

where

A is the area

b is the length of the base

h is the height of the triangle

From the figure, we see that:

b = 7 m is the length of the base

h = 24 m is the height of the triangle

Therefore, applying the formula, we find the area of the garden:

[tex]A=\frac{1}{2}7\cdot 24 =84 m^2[/tex]

We also know that Michael wants to plant 4 tickseed plants for each square meter of area; therefore, the total number of plants that Michael will plant is 4 times the area of the garden, so:

[tex]N=4A=4\cdot 84=336[/tex]

Answer:

336 tickseed plants

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

X = 1200 × e^(5% × t)

X = 1200 × e(0.05×6)

X = 1200 × e^0.3

X = 1619.830569

Answer:

45 ( please label me brainliest)

Step-by-step explanation:

The constant of proportionality is a factor that describes a linear relationship between two variables. In the context of a car's speed, it can be found by dividing the distance covered by the time taken, giving a result in miles per hour.

The constant of proportionality is a factor used to describe quantities that have a linear relationship. It is the ratio between two directly proportional variables. For example, if the speed of a car increases proportionally with the time spent driving, the constant of proportionality would be the rate the car is moving in miles per hour (mph). It can be found in simple linear equations with the form y = mx + b, where m is the constant of proportionality.

In your case, if you are given a table of values displaying a linear relationship, the constant of mathrm{proportionality} in mph can be found by selecting any two corresponding values (for time and distance in this case), and calculating the rate by dividing the distance covered in miles by the time taken in hours.

This rate (in miles per hour) is your proportionality constant, assuming that the relationship is indeed linear. Therefore, if one assumes the speed remains constant and acceleration is nil, then the speed of the car (in mph) is the constant of proportionality in this context.

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Answer:

73 ≥ 35+.19 m

Answer:

the answer is 200 miles per day

This is an incomplete table of horsepower and gas mileage data for various 2007 vehicles. Despite the missing information, it can still be used to analyze patterns, create averages, and compare specific models or power ratings.

The presented data appears to be a compilation of horsepower ratings and expected gas mileage (MPG) readings for a variety of 2007 vehicles, as reported by Kelly Blue Book. Unfortunately, the table is incomplete, without consistent information for each listed vehicle, but it can still be analyzed to some extent. You could use this data in mathematics to do things like analyze patterns, create averages, and chart the information in graphical form. For instance, you might look at the relationship between horsepower and gas mileage - perhaps higher horsepower means lower gas mileage, or you might find there's no clear pattern at all. Examples of such analyses might include comparing models from the same manufacturer (like the Honda Civic and Honda Accord), or comparing cars with similar horsepower, like the Audi A4 and Buick LaCrosse both with 200 horsepower.

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Answer:

Explanation:

1. Find the vertical and horizontal components of the initial velocity

a) Horizontal component:

      [tex]v_{0,x}=v_0\times cos(20\º)=135ft/s\times cos(20\º)=126.86ft/s[/tex]

b) Vertical component:

      [tex]v_{0,y}=v_0\times sin(20\º)=135ft/s\times sin(20\º)=46.17ft/s[/tex]

2. Find the time when the ball runs 380 feet horizontally:

          [tex]x=v_{0,x}\times t\\\\380ft=126.86ft/s\times t[/tex]

          [tex]t= (380ft)/(126.86ft/s)=2.995s\approx 3.0s[/tex]

3. Find the height of the ball when the time is 3.0s

       [tex]y=y_0+v_{0,y}\times t-gt^2/2[/tex]

     [tex]y=3ft+46.17ft/s\times 3.0s-32.174ft/s^2\times (3.0s)^2/2[/tex]

     [tex]y=-3.3ft[/tex]

This result means that the ball does not reach the wall because it has fallen to the ground (when y = 0) before 3.0s.

Answer:

5

Step-by-step explanation:

Answer:

B. -1

Step-by-step explanation:

If we have a parabola whose equation is:

[tex]y=ax^{2} +bx+c[/tex]

The line of symmetry is calculated as:

[tex]x=\frac{-b}{2a}[/tex]

Now, we have the equation [tex]y=ax^{2}-4x+3[/tex] and the line of symmetry is [tex]x=-2[/tex]

Where:

[tex]b=-4\\c=3[/tex]

So, we can replace [tex]b[/tex] by -4 and [tex]x[/tex] by -2 and solve for [tex]a[/tex] using the following equation as:

[tex]x=\frac{-b}{2a}\\-2=\frac{-(-4)}{2a}\\-2(2)a=4\\-4a=4\\a=-1[/tex]

It means that the equation of the parabola is equal to:

[tex]y=-1x^{2}-4x+3[/tex]

Answer:

c d e?

Step-by-step explanation:

btw I'm not sure :")

Answer:

A,d,e

Step-by-step explanation:

Answer:

i think the answer is 38

Step-by-step explanation:

$190 divided by 5% = 38

Answer: 1.5

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Look at all the steps above. They lead to a double solution. The symbol

[tex]x=\pm 5[/tex]

means that [tex]x[/tex] can be either positive or negative 5. You can't accept negative values for lengths, so you're left with one option only.

Answer:

∠JXM and ∠NXP are complementary

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

[tex]m\angle JXM+m\angle MXN+m\angle NXP=180^o[/tex] ----> form a straight line

we have

[tex]m\angle MXN=90^o[/tex]

substitute

[tex]m\angle JXM+90^o+m\angle NXP=180^o[/tex]

[tex]m\angle JXM+m\angle NXP=180^o-90^o[/tex]

[tex]m\angle JXM+m\angle NXP=90^o[/tex]

Remember that

Two angles are complementary, if their sum is equal to 90 degrees

therefore

∠JXM and ∠NXP are complementary

Answer:The answer is A, I got it right

Step-by-step explanation:

Answer:

a. [tex]18x^3 -60x^2 + 33x - 45[/tex]

b. No

Step-by-step explanation:

Given:

(3x-9) and [tex]6x^2-2x+5[/tex]

=> the production of them is:

[tex](3x-9)(6x^2-2x+5)[/tex] , we will use distributive law to solve this To do that. we first multiply  [tex]6x^2-2x+5[/tex] by 3x then by -9. This is done as follows

= [tex]3x (6x^2-2x+5) - 9(6x^2-2x+5)[/tex]  [tex]= (3x * 6x^2-3x * 2x+3x *5) - (9* 6x^2-9* 2x+9* 5)\\\\= (18x^3 -6x^2+ 15x) - (54x^2 - 18x +45)[/tex]

Then Open both brackets

= [tex]18x^3 -6x^2+ 15x -54x^2 + 18x -45[/tex]

After that, we group the same terms

= [tex]18x^3 -(6x^2 +54x^2)+ (15x + 18x) -45[/tex]

= [tex]18x^3 -60x^2 + 33x - 45[/tex]

(b) Is the product of (3x-9) and  [tex]6x^2-2x+5[/tex]  equal to the product of (9x-3) and [tex]6x^2-2x+5[/tex]

No, let find the product of (9x-3) and [tex]6x^2-2x+5[/tex] , we will use distributive law to solve this as the above example.

= (9x-3)[tex](6x^2-2x+5)[/tex]

= [tex]9x (6x^2-2x+5) - 3(6x^2-2x+5)[/tex]

=[tex](9x * 6x^2 - 9x * 2x + 9x *5) - (3* 6x^2 - 3 * 2x + 3* 5)[/tex]

= [tex](54x^3 - 18x^2+ 45x) - (18x^2 - 6x +15)[/tex]

After that, we open the bracket to find the same terms

= [tex]54x^3 - 18x^2+ 45x -18x^2 + 6x -15[/tex]

= [tex]54x^3 - 18x^2 -18x^2 + 45x + 6x -15[/tex]

= [tex]54x^3 - 36x^2 + 51x -15[/tex]  

As you can see [tex]54x^3 - 36x^2 + 51x -15[/tex]   ≠[tex]18x^3 -60x^2 + 33x - 45[/tex]

Hope it will find you well.

Answer:

Fraction=3/10

Decimal=0.3

Percent=30%

Step-by-step explanation:

First we have to add 12+16 so we can find how many marbles are left

12+16=38

Then, we subtract it from the total number of marbles.the outcome of this operation would be equivalent to the number of blue marbles

40-38=12

There are 12 blue marbles.

Now, the we have to use experimental probability if you are familiar with the term is that the number of outcomes(the blue marbles) must be over the total sample space(total marbles) in a fraction.

Probability=

12/40

Simplify

12/40

6/20

3/10

Probability

Fraction=3/10

Decimal=0.3

Percent=30%

Answer:

32.8 miles

Step-by-step explanation:

The total time travelled by rider A is 2 hours. If his speed was 12 mph, the distance travelled is 2 * 12 = 24 miles.

The total time travelled by rider A is 3 hours and 30 minutes (so 3.5 hours). If his speed was 9 mph, the distance travelled is 3.5 * 9 = 31.5 miles.

The angle that they make, as rider A was in the direction N 47 E and the rider B was in the direction S 62 E, is equal to 180 - 47 - 62 = 71°

With these values (two distances and a angle between then, we can use law of cosines to find the distance between the bicyclists:

c^2 = a^2 + b^2 - 2ab*cos(angle)

c^2 = 24^2 + 31.5^2 - 2*24*31.5*cos(71)

c^2 = 1075.99

c = 32.8 miles

The distance between the two bicyclist is 32.8 miles

The total time travelled by rider A is 2 hours.

In the case when his speed was 12 mph,

So, the distance travelled is 2 (12) = 24 miles.

Now

The total time travelled by rider A is 3 hours and 30 minutes i.e. 3.5 hours).

In the case when his speed was 9 mph, the distance travelled is 3.5 (9) = 31.5 miles.

Now the direction is

= 180 - 47 - 62

= 71°

Now the distance is

[tex]c^2 = a^2 + b^2 - 2ab\times cos(angle)\\\\c^2 = 24^2 + 31.5^2 - 2\times 24\times 31.5\times cos(71)\\\\c^2 = 1075.99[/tex]

c = 32.8 miles

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Answer:

The answer is A my dude

Step-by-step explanation:

Answer:

He loses 12 limbs over 4 days (need one more branliest to level up)

Step-by-step explanation:

loses 3 on monday (-3)

loses 3 on tuesday (-3)

see the pattern

Answer:

3/4

Step-by-step explanation:

The solution of expression 4c = 3 by combining like terms is c = 3/4.

Used the concept of the equation that states,

An equation is a group of numerical variables and functions that have been combined using operations like addition, subtraction, multiplication, and division.

Given that the equation is,

4c = 3

Now simplify the equation by combining like terms,

4c = 3

Divide both sides by 4,

4c/4 = 3/4

c = 3/4

Therefore, the solution is c = 3/4.

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Answer:

One solution x=4

Step-by-step explanation:

5x+20=4(x+6)

Distribute

5x+20 =4x+24

Subtract 4x from each side

5x -4x +20 = 4x-4x+24

x+20 = 24

Subtract 20 from each side

x+20-20 =24-20

x =4

Answer:

D. 66/2

Step-by-step explanation:

If you are trying to figure out what operation to perform first, then follow PEMDAS.

P: Parenthesis

E: Exponents

M: Multiplication

D: Division

A: Addition

S: Subtraction

So first we start with what is in parenthesis. Since there are two operations within the parenthesis, we start with the division first since it comes first in PEMDAS. This is why D. 66/2 is our best answer.

The composite figure can be decomposed into:

C. a rectangle and two triangles

F. two trapezoids.

A composite figure is a figure that is formed by two or more shapes, or a figure that can be decomposed into two or more shapes.

The composite figure in the diagram be be broken down into either two trapezoids or a rectangle and two triangles.

Therefore, the shapes that the composite figure can be decomposed into are:

C. a rectangle and two triangles

F. two trapezoids.

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Answer:

Explanation:

1. Name the variables:

2.  Build a table to determine the number of hours each lift requires from each department:

Number of hours

                                        small lift    large lift   total per department

Welding department            1x             3y                x + 3y

Packaging department        2x             1y                2x + y

3. Constraints

Then you must:

4. Graph

See the graph attached.

Here is how you draw it.

5. Test the profit function for each vertex

The profit function is P(x,y) = 25x + 90y

The vertices shown in the graph are:

The profits with the vertices are:

Thus, the solution that optimizes the profit is producing 0 smaller lifts and 90 larger lifts.

Final answer:

To maximize profits from manufacturing boat lifts, define variables as x for small lifts and y for large lifts, and list the constraints from the welding and packaging departments' available hours alongside non-negative production quantities.

Explanation:

To find how many of each type of boat lifts should be produced to maximize profits, first, we need to define our variables and list our constraints.

List your variables

List your constraints

These constraints represent the limits on production based on the available hours in each department, whilst also considering that the production of both types of lifts must be a non-negative quantity.

Answer:

5

-by-step explanation:

Answer: Angle J= 75 degrees and angle K=40 degrees.