Please help please help

Answer:

42

Step-by-step explanation:

(2x + 3) = 7

7x7=49

note:the other 7 is from the exponent 2

49-7=42

By evaluating an exponential equation, we will see that the population after 189 hours will be 888 bacteria.

We know that initially we have a total of 100 bacteria, and it doubles in size every 60 hours, then the population can be modeled with the exponential equation.

p(x) = 100*(2)^x

Where x is groups of 60 hours, we can rewrite:

x = t/60h

Where t is the amount of hours, and rewrite the equation as:

p(t) = 100*(2)^(t/60h)

The population in 189 hours from now willbe:

p(189 h) = 100*(2)^(198 h/60h) = 887.7

The population is 888 (where we rounded the value)

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Answer:

C

Step-by-step explanation:

Blood types A and AB are receivers from someone with type A blood donors.

What is blood type?

There are four major blood groups determined by the presence or absence of two antigens, A and B, on the surface of red blood cells. In addition to the A and B antigens, there is a protein called the Rh factor, which can be either present (+) or absent (–), creating the 8 most common blood types (A+, A-,  B+, B-,  O+, O-,  AB+, AB-).

Someone with blood type A can donate blood to individuals with blood types A and AB.

This is because type A blood has the A antigen on the red blood cells and type AB has both A and B antigens.

While type A blood doesn't have the B antigen which is present in type B and AB blood, so it cannot be donated to those with type B or type B.

It's important to note that there are also positive and negative blood types, which are determined by the presence or absence of the Rh (Rhesus) antigen on the red blood cells.

So, someone with type A negative blood can only donate to individuals with type A negative or type AB negative blood.

Therefore, for A type blood donors can donate to A and AB blood type.

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The true solution to the equation [tex]\(x + 5 - \sqrt{x} = 3\)[/tex] is [tex]\(x = \frac{4}{9}\)[/tex], and there are no extraneous solutions.

To find the true solution(s) to the equation, we need to solve for x and check if the obtained solutions satisfy the original equation. The extraneous solution(s), if any, will be the solutions that do not satisfy the original equation.

To solve the equation, we can start by isolating one of the square root terms. Rearranging the equation, we have:

[tex]\sqrt{x + 5} = 3 + \sqrt{x}[/tex].

The equation can be evaluated as:

[tex]\sqrt{x + 5} - \sqrt{x} &= 3 \\(\sqrt{x + 5})^2 &= (3 + \sqrt{x})^2 \\x + 5 &= 9 + 6\sqrt{x} + x \\6\sqrt{x} &= -4 \\\sqrt{x} &= \frac{-2}{3} \\x &= \frac{4}{9}\end{align*}[/tex]

Therefore, the true solution to the equation [tex]\(x + 5 - \sqrt{x} = 3\)[/tex] is [tex]\(x = \frac{4}{9}\)[/tex], and there are no extraneous solutions.

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The complete question:

Solve the following equation and identify the true solution(s) as well as the extraneous solution(s):

[tex]\sqrt{x + 5} - \sqrt{x} = 3[/tex].

7. To show that VRHK is a square, one can observe that the opposite sides of the quadrilateral, VR and HK, are equal in length and the two adjacent sides, RH and VK, are also equal in length.

8. For VRHK to be a square, z must equal √2, so that VC = 6√2 and

VR = 12.

9. The length of RK is 12√2

10. The length of VK is 12√2

Solution:

8. We can solve this problem by using the Pythagorean Theorem. We know that the sides of a square are equal, so we can set up an equation using the theorem. VC = 6z, VR = 12, and we want the hypotenuse, VRHK, to be a square. VH² = VR² + RH² = 12√2.

VC = 6z = VH/2 = 12√2/2 = 6√2

6z = 6√2

z = √2

9. The length of RK' =  s√2 =12√2

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Answer:

10 times larger.

The 3 in 903.7 is in the ones place, and the 3 in 4.31 is in the tenths place, which is to the left of the decimal one time.

If you were to move the 3 in 4.31 to the right of the decimal like where the 3 is in 903.7, then you would be increasing the 3s value by 10.

Step-by-step explanation:

Hope it helps! =D

The value of x in the given equation will be 2/5

From the data,

We have to determine the value of x.

The given equation is: 18x-16=-12x-4

For determining the value of x, we will first shift the like terms on one side of the equation.

So, for solving the value of x we will shift the terms containing x and the constant on both sides of the equation.

So, shifting -12x from the right-hand side of the equation to the left-hand side of the equation,

We will get it as:

18x+12x = -4+16

30x=12

Now for solving the value of x we will shift x from the left side of the equation to the right side of the equation.

So, the value of x will be = 12/30 = 2/5

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The correct question may be:

What is the value of x

18x-16=-12x-4

Enter your answer in the box.

Answer:

Step-by-step explanation:

The  two additional questions that would be meaningful to drill down into with this same dataset is that What type of variation occurs within my variables? and What type of covariation occurs between my variables?.

The term data set is defined as a collection of related sets of information that is composed of separate elements but can be manipulated as a unit by a computer.

Here we need to find the two additional questions that would be meaningful to drill down into with this same dataset,

As per the definition we have know that the question that need to be asked over the data set are listed as follows:

They are type of variation occurs within my variables and the type of covariation occurs between my variables.

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Answer:110

Step-by-step explanation: Add 7 shingles every row you go up.

Row 1=75

2=82

3=89

4=96

5=103

6=110

Answer:

33

Step-by-step explanation:

it starts with 75 and decreases by 7 for each row. on the 6th row youll be at 33!

STARTS AT 75

row one: 68

row two: 61

row three:54

row four: 47

row five: 40

row six: 33

Note that the quote given above simply means that an employee or worker should never equate how much they earn to how much they are actually worth. This can take on different meanings depending on whether you want to assign a positive connotation to it or a negative one.

A quote is a verbatim reproduction of someone else's words that is generally surrounded by quotation marks and attributed to the original author or speaker.

Quoting implies paraphrasing someone else's remarks and citing the source. You must ensure the following when quoting a source:

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Answer: no, not a function

Step-by-step explanation: 0 is in the input twice, and if it were a function, it would only be there once. every input can only have one output

The person who is correct is Matty: (12x 0.75) + (2x 1.2 =11.4  (second option)

The total pound of cheese is the total amount of of cheese used for cheeseburgers and the total amount of cheese wasted.

Total pounds of cheese = total pounds used for cheeseburgers + total cheese wasted

= (pounds of cheese needed for one cheeseburger x number of cheeseburger) + (number of waiters x pounds of cheese dropped)

= (12 x 3/4) + (1.2 x 2)

= 9 + 2.4

= 11.4 pounds

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The expression that only uses multiplication and that is equivalent to x reduced by 1/8 of x is: x * (1 - 1/8).

An expression in mathematics is a combination of numbers, variables, and operations that represent a value or set of values.

The expression calculates the reduction of x by 1/8 of x by subtracting 1/8 of x from x, which is x * 1/8. By subtracting this from x, the expression calculates x reduced by 1/8 of x. The expression that only uses multiplication and that is equivalent to x reduced by 1/8 of x is:

x * (1 - 1/8).

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To find the slope of the tarp, we can use the concept of rise over run, which is the ratio of the vertical change (the rise) to the horizontal change (the run). In this case, the rise is the distance from the corner of the tarp to the top of the pole, and the run is the distance from the corner of the tarp to the bottom of the pole.

We can use the Pythagorean theorem to find the length of the hypotenuse of the right-angled triangle formed by the corner of the tarp, the bottom of the pole and the top of the pole.

The length of the hypotenuse is the distance from the corner of the tarp to the top of the pole and the length of the adjacent side is the distance from the corner of the tarp to the bottom of the pole.

We know that:

adjacent side = 10 ft

Hypotenuse = h

Applying the Pythagorean theorem:

h^2 = 10^2 + 6^2

h = √(10^2 + 6^2)

h = √(100 + 36) = √136 = 11.66 ft

Now we can calculate the slope:

slope = rise/run = (h-10) / 6

slope = (11.66-10) / 6 = 1.66/6 = 0.277

So the slope of the tarp from the corner to the top of the pole is 0.277 or approximately 0.28.

Answer:

y=1/2x+2

Step-by-step explanation:

given the 2 equations, you know the following:

when x=2, you get a value of 3, let's call it Y

same with the next equation: when x=6, Y = 5

so the slope will be the diff b/w ys and then divided by diff of x's

so 5-3=2 is the diff of y

6-2=4 is the diff of x

divide 2/4 = 1/2 so the slope is 1/2

then you know the equation would be something like y=1/2 x but then you need to decide the intercept

1/2 of x when x=6 is 3, but Y =5

so you know the intercept is 2..

so the linear f(x) would be y=1/2x+2

done

Classification of all the angles in four different ways along with name are:

1. ∠ABC, ∠CBA, ∠B, ∠1 and the name is right angle.

2. ∠DEF, ∠FED, ∠E, ∠2 and the name is obtuse angle.

3. ∠LMN, ∠NML, ∠M, ∠3 and the name is straight angle.

4. ∠XYZ, ∠ZYX, ∠Y, ∠4 and the name is acute angle.

5. ∠KLM, ∠MLK, ∠L, ∠5 and the name is acute angle.

6. ∠RST, ∠TSR, ∠S, ∠6 and the name is obtuse angle.

Figure is attached.

Classification of the all the angles in the attached figure in four different ways with their names are:

1. Different name of the angles : ∠ABC, ∠CBA, ∠B, ∠1 .

Measure of the angle is 90°, it is right angle.

2. Different name of the angles : ∠DEF, ∠FED, ∠E, ∠2

Measure of the angle is more than 90°, it is obtuse angle.

3. Different name of the angles : ∠LMN, ∠NML, ∠M, ∠3

Measure of the angle is 180°, it is straight angle.

4. Different name of the angles : ∠XYZ, ∠ZYX, ∠Y, ∠4

Measure of the angle is less than 90°, it is acute angle.

5. Different name of the angles : ∠KLM, ∠MLK, ∠L, ∠5

Measure of the angle is less than 90°, it is acute angle.

6. 2. Different name of the angles :  ∠RST, ∠TSR, ∠S, ∠6

Measure of the angle is more than 90°, it is obtuse angle.

Therefore, as per the classification of the given angles different ways to represent them are:

1. ∠ABC, ∠CBA, ∠B, ∠1 , right angle.

2. ∠DEF, ∠FED, ∠E, ∠2 , obtuse angle.

3. ∠LMN, ∠NML, ∠M, ∠3 , straight angle.

4. ∠XYZ, ∠ZYX, ∠Y, ∠4, acute angle.

5. ∠KLM, ∠MLK, ∠L, ∠5 , acute angle.

6. ∠RST, ∠TSR, ∠S, ∠6  ,obtuse angle.

The above question is incomplete , the complete question is :

Name each angle in four ways. Then classify the angle as acute, right, obtuse, or straight.

Attached figure.

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The another equivalent expression of total liquid is (x+2)/4.

Expressions that perform similarly but differ in appearance are said to be equivalent expressions. When the same value for the variable is entered, two algebraic expressions that are equivalent will have the same result.

x quarts liquid in the container 3/4 part of liquid is removed

Then remaining liquid in container = X - [tex]\frac{3}{4}X[/tex]

Then remaining liquid in container = x/4quarts

Another 1/2 quart is poured into container

Then total liquid = [tex]X-\frac{3}{4}X+\frac{1}{2}[/tex] quarts

total liquid = [tex]\frac{X+2}{4}[/tex] quarts

So, then the another equivalent expression of total liquid is (x+2)/4.

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Answer:3h^2 + 7g^4 + 5f^2 - 4h - 4g^4

Step-by-step explanation:To simplify the expression 2h+3h^2−4g^4+5f^2+11g^4−4h+f^2, we can follow these steps:

Group together like terms:

2h + (-4h) = -2h

3h^2 + f^2 = 3h^2 + f^2

-4g^4 + 11g^4 = 7g^4

This gives us the expression: -2h + 3h^2 + 5f^2 + 7g^4

Combine the constants:

3h^2 + 5f^2 + 7g^4 = 3h^2 + f^2 + 7g^4

Combine the like terms:

-2h + 3h^2 + f^2 + 7g^4 = 3h^2 + f^2 + 7g^4 - 2h

So, the simplified expression is: 3h^2 + 7g^4 + 5f^2 - 4h

After simplifying, the expression we'll get,  2h+3h^2+7g^4+6f^2-4h.

To simplify these algebraic expressions, we need to group the like terms. Like terms can be defined as terms that contain the same variables raised to the same power. Only the numerical coefficients are different.

After grouping like terms, perform the required operations. Here we have two operations i.e addition and subtraction. So group the like terms which need to add and those which need to subtract.

For example, Here -4g^4+11g^4 are like terms and 5f^2+f^2 are like terms. So we'll subtract 4 from 11, we'll get 7 and the variable will remain the same that is g^4. Similarly, we'll add 5 and 1, we'll get 6 and the variable will remain the same that is f^2.

Other terms will remain as it is.

2h+3h^2+(-4g^4+11g^4)+(5f^2+f^2)-4h

2h+3h^2+7g^4+6f^2-4h

Therefore the answer is, 2h+3h^2+7g^4+6f^2-4h

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Answer:

1. a > 6

2. a = 6

3. 0 < a < 6

4. a is divisible by 6

Answer:
1. a>6 the answer could be, 7, 8, 9, 10 and it keeps going on.
2. the answer is 6

3. a<6 the answer is anything below 6 so 5, 4, 3, 2, 1, and more.

4. anything that is a multiple of 6 is true. like 6, 12, 18, 24, 30, 36, and it keeps going.

The solution to the inequality is (b) x > -2

From the question, we have the following parameters that can be used in our computation:

4.5x + 6 > -3

Collect the like terms

So, we have the following representation

4.5x > - 3 - 6

Evaluate the like terms

This gives

4.5x > -9

Divide both sides by 4.5

x > -2

Hence, the solution is (b) x > -2

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It will cost $12.87 for driving 100 miles.

Based on the given problem, we have identified the given information as follows:

Then, we identify the unknown quantity which is the total cost of gasoline, and represent this as C. Now, this can be solved by using the formula

         [tex]C = \frac{distance traveled by car}{25.70 miles per gallon} * Cost of gasoline per gallon[/tex]

By substituting the given to the variable given in the formula above, we have,

            [tex]C = \frac{100}{25.70} * 3.309[/tex]

           C = $ 12.87

The obtained value of C is $12.87, therefore, we can conclude that it costs 12.87 dollars for driving 100 miles.

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The room with the given dimensions has a volume of 316, 516, 800 cm^3.

The volume of a room is a measure of the amount of space inside it, and it is calculated by multiplying the length, width, and height of the room.

In this case, the room has dimensions of 9.15 meters by 9.4 meters by 3.68 meters.

To find the volume of the room in cm^3, we first need to convert the dimensions of the room from meters to centimeters.

1 meter is equal to 100 centimeters, so

9.15 meters is equivalent to 915 centimeters,

9.4 meters is equivalent to 940 centimeters,

and 3.68 meters is equivalent to 368 centimeters.

Once we have the dimensions in centimeters, we can calculate the volume by multiplying the length, width, and height:

915 cm x 940 cm x 368 cm = 316, 516, 800 cm^3.

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The rectangular solid with the maximum volume would be a cube.

The surface area of a cube = 6A,

where A = the area of any one side

hence, the area of one side = 150/6 = 25 sq in.

The length of one face,

L = 25^0.5 = 5 in.

The volume, V of a cube = L^3.

Surface area

Surface area is the amount of space covering the outside of a three-dimensional shape.

volume

Volume is a three-dimensional quantity that is used to measure the capacity of a solid shape. It means the amount of three-dimensional space a closed figure can occupy is measured by its volume.

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Answer 0.000032 km

Step-by-step explanation: divide

1. In parallelogram ABCD, the sum of ∠a and ∠b is 180 degree. So the option d "a° + b° = 180°" is correct.

2. In rectangle FGHK, FC = CH = 8. 5 cm, then the area of rectangle FGHK is 120 square cm. So the option b is correct.

3. The length of GK is 17 cm because the length of all diagonal is same in rectangle. So the option d is correct.

4. In parallelogram EFGH, the sum of ∠e and ∠f is 180 degree. So the option d "a° + b° = 180°" is correct.

1. In parallelogram ABCD, ∠a and ∠b are adjacent to each other.

So, AB║DC.

Then we get ∠a and ∠b as subsequent interior angles, both of which need to be added.

So the sum of ∠a and ∠b is 180 degree.

a° + b° = 180°

2. In rectangle FGHK, FC = CH = 8. 5 cm.

From the diagram, FG = 8 cm

FH = FC + CH

FH = 8.5 + 8.5

FH = 17 cm

Using Pythagorean Theorem to find the value of GH.

FH^2 = FG^2 + GH^2

(17)^2 = (8)^2 + GH^2

289 = 64 + GH^2

Subtract 64 on both side, we get

GH^2 = 225

Taking square root on both side, we get

GH = 15 cm

The area of rectangle = FG × GH

The area of rectangle = 8 × 15

The area of rectangle = 120 square cm

3.  In rectangle FGHK, FC = CH = 8. 5 cm.

So FH = FC + CH

FH = 8.5 + 8.5

FH = 17 cm

As, a rectangle is split into two congruent right triangles by a diagonal. The length of the rectangle's diagonals are all the same.

So GK = FH = 17 cm

4. In parallelogram EFGH, ∠e and ∠f are adjacent to each other.

So, EF║HG.

Then we get ∠e and ∠f as subsequent interior angles, both of which need to be added.

So the sum of ∠e and ∠f is 180 degree.

e° + f° = 180°

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In statistics, we use samples to make inferences about population

That is the great advantage of the whole role of distribution. Once you know a particular situation or experiment, that you can associate to one specific distribution and compute parameters, you can obtain from a relative smaller quantity of data and  with good approximation, inferences about the whole population.

Statistical inference is the method of using data analysis to infer characteristics of a probability distribution.

Inferential statistics is the branch of statistics that uses sample statistics to estimate a population parameter or test a hypothesis about such a parameter.

statistics

Statistics is the science concerned with developing and studying methods for collecting, analyzing, interpreting and presenting empirical data.

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The m∠EXD and m∠AXE are the supplementary angles.

The two angles will be linear pairs if the sum is 180° therefore, linear pair of 62° is 118°. The value of x in the figure is 113°

An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.

The identical endpoint of the two rays—known as the vertex—is referenced as an angle's sides.

01)

Two angles will be linear pairs if their sum is 180°.

If the first angle is 62° then the second will be 180° - 62° = 118°

Hence "The two angles will be linear pairs if the sum is 180° therefore, linear pair of 62° is 118°".

02)

The angle x is in the same line with supplementary angle 67° so

x = 180 - 67 = 113°.

Hence "The value of x in the figure is 113°".

03)

In the figure, AXD is a straight line, therefore,

m∠EXD +  m∠AXE  = 180°

Since the sum of two angles is 180° then they are called supplementary angles.

Hence "The m∠EXD and m∠AXE are the supplementary angles".

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