HELP I WILL GIVE YOU 20 POINTS

Given:

The objective is to subtract (4d² + 9d + 7) - 4d².

The equation can be rearraged as,

Hence, the value of subtraction is 9d+7.

Answer:

Lateral surface area of cuboid = 448 ft²

Step-by-step explanation:

Given:

Height of cuboid(h) = 14 ft

Length of cuboid(l) = 9 ft

width of cuboid(b) = 7 ft

Find:

Lateral surface area of cuboid

Computation:

Lateral surface area of cuboid = 2 h(l + b)

Lateral surface area of cuboid = 2(14)(9 + 7)

Lateral surface area of cuboid = 28(16)

Lateral surface area of cuboid = 448 ft²

Answer:

A

Step-by-step explanation: Just did it

The theorem that states that for any real number x, if x²−6x+5 > 5, then x≥5 or x≤1 has its assumed and proven facts explained below:

Assumed: x ≥ 5 or x ≤ 1

Proven: x²−6x+5 ≤ 5

The above facts are assumed and proven in a proof by contrapositive of the theorem

.Here's an explanation of the theorem: Let x be any real number.

x²-6x+5 > 5 is the same as x²-6x > 0, which is the same as x(x-6) > 0.

The inequality x(x-6) > 0 is satisfied if x > 6 or x < 0, which is the same as x ≥ 5 or x ≤ 1.

The contrapositive of this statement is, for any real number x, if x > 1 and x < 5, then x²-6x+5 ≤ 5.

Learn more about contrapositive at:

https://brainly.com/question/32323333

#SPJ11

The probability that exactly 4 of the students selected to present are stat majors is 0.219, or about 22%.

The total number of ways to choose 5 students from a class of 20 is:

C(20,5) = (20!)/[(5!)(15!)] = 15504

To find the probability that exactly 4 of the students selected are stat majors, we need to count the number of ways to choose 4 stat majors and 1 engineer, and divide by the total number of ways to choose 5 students:

[C(10,4) * C(10,1)] / C(20,5) = [(10!)/[(4!)(6!)]] * [(10!)/[(1!)(9!)]] / [(20!)/[(5!)(15!)]] = 0.219

Therefore, the probability that exactly 4 of the students selected to present are stat majors is 0.219, or about 22%.

Learn more about probability

https://brainly.com/question/30034780

#SPJ4

Answer: $7.65 for a dozen/12

Step-by-step explanation: 2.55 x 3

Answer:

77 degrees and 90 degrees

The angle d is shown as 90 by the perfect right angle. The angle e has to equal 180 when added to f. So 180-103=77.

Answer:

answers highlighted in yellow, hope this helps!

Step-by-step explanation:

Answer:

\( {5x }^{2} + 11x - 13\)

Answer:

m+2

Step-by-step explanation:

Collect like terms

m-8+10

Calculate the term

x+2

Hope this helpsʕ•ᴥ•ʔ

Answer:

1, 2 and 3  (I, II and III)

Step-by-step explanation:

Since the slope is positive (3) in the equation y = 3x + 1, it means that the graph has a positive slope, meaning the line slopes up from left to right.

The y intercept is 1

the x intercept is:  

0 = 3x + 1

x = 1/3

Therefore, the graph of y = 3x + 1 lies in quadrants I, II and III.  Graph the equation to prove this.  

The statement that is true is:

Statements 1 and 3

Let's examine each statement individually:

If n is a multiple of 8, then n is a multiple of 4. This statement is true because every number that is divisible by 8 is also divisible by 4. Since 8 is a multiple of 4, any multiple of 8 will have factors of both 8 and 4. If n is a multiple of 18, then n is a multiple of 2.

This statement is also true. Any number that is divisible by 18 is also divisible by 2 because 18 contains a factor of 2. Every multiple of 18 will have at least one factor of 2.

Statement 2 is not true. If n is a multiple of 18, then n is a multiple of 9.

This statement is false because there are numbers that are multiples of 18 but not multiples of 9. For example, 18 itself is a multiple of 18 but not a multiple of 9, as 18 divided by 9 is equal to 2.

Therefore, the correct answer is c) Statements 1 and 3.

Learn more about divisible refer:

https://brainly.com/question/2273245

#SPJ11

The band boosters had custom t-shirts made for homecoming and need to sell a certain number of shirts to cover their expenses. An equation, 10x = 25.90 + 8.15x, can be used to determine the number of shirts they need to sell to break even.

Let's break down the given information and formulate an equation to represent the situation.

The band boosters paid a setup fee of $25.90 and an additional cost of $8.15 per shirt to have the custom t-shirts made. They plan to sell each shirt for $10.

Let's represent the number of shirts they need to sell as 'x'. The cost to produce 'x' shirts would be the sum of the setup fee and the cost per shirt multiplied by the number of shirts:

Cost to produce 'x' shirts = Setup fee + (Cost per shirt × Number of shirts)

Using the given values, the equation becomes:

Cost to produce 'x' shirts = $25.90 + ($8.15 × x)

To break even, the revenue from selling the shirts should equal the cost to produce them. The revenue can be calculated by multiplying the selling price per shirt ($10) by the number of shirts sold:

Revenue from selling 'x' shirts = Selling price per shirt × Number of shirts sold

The equation representing the situation can be written as:

$10x = $25.90 + ($8.15 × x)

Simplifying the equation, we have:

10x = 25.90 + 8.15x

Now we have the equation that represents the situation.

Learn more about equation here:

https://brainly.com/question/33314559

#SPJ11

The required probability of removing a white marble followed by a blue marble is 2/33.

Probability can be defined as the ratio of favorable outcomes to the total number of events.

Here,
There are 12 marbles in the bag in total, so the probability of selecting a white marble on the first draw is 4/12 or 1/3.

After the first marble is put aside, there are now 11 marbles in the bag, with 2 of them being blue. Therefore, the probability of selecting a blue marble on the second draw is 2/11.

To find the probability of selecting a white marble followed by a blue marble, we need to multiply the probability of the first event (selecting a white marble) by the probability of the second event (selecting a blue marble):

P(white, then blue) = P(white) x P(blue|white)

P(white, then blue) = (1/3) x (2/11)

Simplifying:

P(white, then blue) = 2/33

Therefore, the probability of removing a white marble followed by a blue marble is 2/33.

Learn more about probability here:

brainly.com/question/14290572

#SPJ1

Step-by-step explanation:

Interior angles of a 5-gon    sum to   ( 5-2)(180 = 540 degrees

smallest angle =x

largest angle = x + 4d    

          where d is the arithmetic sequence common difference

x + 4d     -x     =  44    shows d = 11

then    x    + x+d    + x+2d   + x+3d   + x + 4d = 540

      5x + 10d = 540      we know d = 11

       5x + 10(11) = 540

         5x = 430

           x = smallest angle = 86 degrees

The smallest interior angle of the pentagon is 86 degrees. This was found by setting up an equation involving the common difference "d" in the arithmetic sequence of angles and solving for "x."

Let's denote the five interior angles of the pentagon as follows:

Let the smallest angle be "x" degrees.

The other four angles form an arithmetic sequence, so we can represent them as x + d, x + 2d, x + 3d, and x + 4d, where "d" is the common difference between the angles.

Now, we know that the difference between the largest angle and the smallest angle is $44^\circ$. Therefore, we can write the equation:

(x + 4d) - x = $44^\circ$

Simplify and solve for "d":

4d = $44^\circ$

Now, divide both sides by 4 to find the value of "d":

d = $44^\circ / 4 = $11^\circ

Now that we know the common difference "d" is $11^\circ", we can find the smallest angle "x" by using the equation for the sum of angles in a pentagon, which is 540 degrees:

x + (x + d) + (x + 2d) + (x + 3d) + (x + 4d) = 540

Simplify and solve for "x":

5x + 10d = 540

5x + 10($11^\circ) = 540

5x + $110 = 540

Now, subtract $110 from both sides:

5x = 540 - $110

5x = $430

Finally, divide by 5 to find the smallest angle "x":

x = $430 / 5 = $86

So, the smallest angle of the pentagon is $86 degrees.

For more such questions on pentagon :

https://brainly.com/question/29673128

#SPJ2

Answer:

\(\sqrt[3]{2}\)

Step-by-step explanation:

Attached is an image of the function graphed. From the image, you can see that the only zero, or x-intercept, is at about -0.327, or \(\sqrt[3]{2}\) to be exact.

If this answer helped you, please leave a thanks or a Brainliest!!!

Have a GREAT day!!!

The 95% tolerance limits that contain 95% of the diameters is 2.262

Diameter:

In math, the straight line passing through the center of a circle or sphere and meeting the circumference or surface at each end is known as diameter.

Given,

Here we need to find the 95% tolerance limits that contain 95% of the diameters estimation of the mean diameter, while important, is not nearly as important as trying to pin down the location of the majority of the distribution of diameters.

According to the given question we have identified the following values,

Tolerance percentage = 95%

Diameter percentage = 95%

x = 61,492

n = 10

s = 3035

c = 95% = 0.95

Now, the value of t is determine by looking in the row starting with degrees of freedom 

=> df = n−1 = 10−1 = 9 and in the column with 

=> α/2 = (1−c)/2

=>0.025 

Then as per the table of the Student’s T distribution:

=> tα​=2.262

To know more about Diameter here.

https://brainly.com/question/5501950

#SPJ4

The largest number of rods that the pole can be cut into is 86.

Given:

Length of Metal Pole = 500 cm

The pole is cut into rods.

Length of each rod = 5.8 cm

To determine the number of rods we can divide the total length of the pole by the length of each rod.

Number of rods that the pole can be cut into = (Length of Metal Pole) ÷ (Length of each rod )

⇒ Number of rods = 500 ÷ 5.8 = 86.2 ≈ 86

Therefore, the largest number of rods that the pole can be cut into is 86.

To know more about word problems visit:

https://brainly.com/question/28376263

#SPJ9

The term that refers to the fact that the distance between two or more points is equal is "equidistant".

In geometry, the concept of equidistance is important when dealing with circles, which are sets of points that are equidistant from a single point called the center. This property is what allows circles to be defined in terms of their radius, which is the distance between the center and any point on the circle.

Equidistance is also important in other areas of mathematics and science. For example, in physics, equidistant points can be used to define a plane or surface that is perpendicular to a given line or axis. This is useful in many applications, such as designing electronic circuit boards or constructing buildings.

The concept of equidistance is not limited to mathematics and science, however. It can also be applied in everyday life. For instance, if you are planning a road trip and want to visit several destinations that are equidistant from your starting point, you can use this information to help plan your route and estimate your travel time.

for such more question on equidistant

https://brainly.com/question/15683939

#SPJ11

Answer:

for 6x-2<9 the inequality problem solved is: x<11/6

for 4+3x>15 the inequality problem solved is:x>11/3

Answer:

155°

Step-by-step explanation:

The angle between the x and y axes is 90°

The required angle = 90° + 65° = 155°

Answer:

Well, y is 90˚ and another angle is 65˚ that means that the unknown angle must be 25˚

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

given :

length WX ≅ (congruent means equal) length XY

therefore ,  WX = 3

WZ = WX + XZ

WZ = 3 + 7

WX = 10

Answer:

4 miles per hour

Step-by-step explanation:

\(\frac{\frac{1}{2} }{\frac{}{8} }\)  Which can be written

\(\frac{1}{2}\) ÷ \(\frac{1}{8}\)  There are a couple of ways to do this.  I think that the most intuitive way is to get a common denominator and then divide.

\(\frac{1}{2}\) x \(\frac{4}{4}\) = \(\frac{4}{8}\)    Anther name for \(\frac{4}{4}\) is one.  I used that to make an equivalent fraction

\(\frac{4}{8}\) ÷ \(\frac{1}{8}\) = \(\frac{\frac{4}{1} }{\frac{8}{8} }\) = \(\frac{4}{1}\) = 4

The direct answer to this question is 4 non- congruent right triangles.

What are non- congruent right angled triangle?

1 , 2 , 3 , 6 , 9 , 18 , 27, 54 , 81 ,162 are the factors of 162.

3 will function since a primitive triple is 3-4-5.

To discover one triple, we must divide 162 by each component, then multiply 4 and 5 by this factor.

So

\(162/3 = 54\\ So\\ 54 * 4 = 216\\ And\\ 54 * 5 = 270\)

Therefore, 162, 216, 270 is a "triple."

And

9 will function since

The triple 9-40-41 is a simple triple.

\(So \\ 162/9 = 18\\And\\ 18 * 40 = 720\\And \\18 * 41 = 738\)

Therefore, 162, 720 ,738 is a "triple."

There are two more, but they're a little harder to come by.

27 - 364 - 365

\(So \\162/27 = 6\\And \\364 * 6 = 2184\\And \\365 * 6 = 2190\\\)

Therefore, 162 - 2184 -2190 is a "triple."

The final is 162, 6560, and 6562.

4 of them have only one leg, making a total of 162.

Learn more about right angled triangle here:

https://brainly.com/question/64787

#SPJ4

Answer :

9 sides

Explanation:

Step 1

Since the interior angle is 140 degrees, the supplement of this is the exterior angle and equal to 40 degrees. Hence the number of sides is 360/40 = 9 sides.

Step 2

Method 2: Since the exterior angle is 140°

The sum of the interior angles = (2n - 4) × right angles.

So 140n =(2n - 4) ×right angles, or we can also say

140n =(2n - 4) × 90

140n = 180n - 360

40n = 360

Divide both sides of the equation by 40

n = 9 sides.

n = 9 sides.Hence the number of sides is 9 sides.

a) Proportionately, if the budget for clothing amounted to GH 300.00, which is 20% of the monthly budget, the total income can be determined as GH  1,500.

b) The man's monthly budget will look like this:

Housing =            GH 150

Food =                GH 450

Fuel =                 GH 225

Clothing =          GH 300

Health =              GH 225

Miscellaneous = GH 150

Total income = GH 1,500

We can determine the total income of the man by equating the ratios of his clothing expense and the total income.

We understand that proportions are ratios equated to one another.

Housing = 10%

Food = 30%

Fuel = 15%

Clothing = 20%

Health = 15%

Miscellaneous = 10%

Proportionately, if the budget for clothing amounted to GH 300.00, which is 20% of the monthly budget, the total income can be determined as GH 1,500 (GH 300.00/20%).

Housing = 10%           GH 150 (GH 1,500 x 10%)

Food = 30%               GH 450 (GH 1,500 x 30%)

Fuel = 15%                 GH 225 (GH 1,500 x 15%)

Clothing = 20%         GH 300 (GH 1,500 x 20%)

Health = 15%             GH 225 (GH 1,500 x 15%)

Miscellaneous = 10% GH 150 (GH 1,500 x 10%)

Total income = GH 1,500

Len more about proportions at https://brainly.com/question/1496357

#SPJ1

Answer:

x=4

Step-by-step explanation:

6x+12x=72

18x=72

x=4

All the solutions are,

45) s(- 1/6) ≠ 0

Hence, x = - 1/6 is not a factor of s (x).

46) All the roots are,

⇒ x = 5

⇒ x = ±2i

47) q (- 5/2) ≠ 0

Given that;

45) s(-1/6)=0, factor as completely as possible:

⇒ s(x) = 36x³ +36x² -31x - 6

Here, plug x = -1/6

We get;

s(- 1/6) ≠ 0

Hence, x = - 1/6 is not a factor of s (x).

46) P (x) = x³ - 5x² + 4x - 20

Plug x = 5;

P (5) = (5)³ -  5 (5)² + 4×5 - 20

P (5) = 125 - 125 + 20 - 20

P (5) = 0

Other roots are,

P (x) = x³ - 5x² + 4x - 20

P (x) = x² (x - 5) + 4 (x - 5)

P (x) = (x² + 4) (x - 5)

Hence, All the roots are,

⇒ x² = - 4

⇒ x = ±2i

And, ⇒ x = 5

47) q(x) = 3x³ -3x² - 10x + 25

Plug x = - 5/2;

q (x) = 3 (- 5/2)³ - 3 (- 5/2)² - 10 (- 5/2) + 25

q (x) = - 375/8 - 75/4 + 25 + 25

q (x) = - 375/8 - 150/8 + 50

q (x) = - 525/8 + 50

q (- 5/2) ≠ 0

Learn more about the quadratic equation visit:

brainly.com/question/1214333

#SPJ1

Answer:

300

Step-by-step explanation:

375 divided by 5=75

Each “1”=75

4x75=300

There are 300 boys.

Hope this makes sense

Answer:

300 boys

Step-by-step explanation:

Let the number of boys = x

Girls: 375

boys : girls = 4 : 5

total in the ratio is 9

girls are 5/9 of total, and are 375

boys are 4/9 of total

5/9 x = 375

x = 375 × 9/5

x = 675

Boys are 4/9 of total.

4/9 × 675 = 300

Answer:

i can explain it to you.

Step-by-step explanation:

SO first you're going to label the graph with the munbers. If you don't know how they go just search one up because they all look the same.

Then you're going to place them on the coordinates that they correspond to. (x,y)

Then for the rotation you're going to move it 90* clockwise which would be right but in the shape of a circle. But you have to connect the dots.

Basically you're just laying it down on its side to the right.

Hope this helps. :)