Solve the following equation by first writing the equation in the form a x squared = c: t squared minus 49 = 0 a. t = 49 b. t = plus-or-minus 49 c. t = 7 d. t = plus-or-minus 7 Please select the best answer from the choices provided A B C D

Answer:

-7k + 14

Step-by-step explanation:

(k² - 7k + 2) - (k² - 12)

k² - 7k + 2 - k² + 12

k² - k² - 7k + 2 + 12

-7k + 14

The maximum possible number of parasites for the class containing the value 27 is 29

The data for 40 randomly selected honey bee hives on a farm is summarized in the histogram below.

From given histogram we have the classes as:

10 - 15, 15 - 20, 20 - 25, 25 - 30, 30 - 35, 35 - 40, 40 - 45, 45 - 50

To find: the maximum possible number of parasites for the class containing the value 27

The class that contains the value 27 is 25 - 30

Given that each class contains its lower class boundary, but not its upper class boundary.

So, the maximum possible number of parasites for the class containing the value 27 would be 29 as 30 is not part of class 25 - 30

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Answer:

4

Step-by-step explanation:

A p e x

Answer:

4

Step-by-step explanation:

4

Answer:

130-(130×0.1)

117

if 1e=177

then 50e=5850

Answer:

They are parallel line.

Answer:

Step-by-step explanation:

To calculate 7⋅VN−→3⋅MT−→, we need to perform scalar multiplication on the two vectors. Scalar multiplication is simply multiplying each of the components of the vector by the scalar value.

So for the first vector, we have: 7⋅VN−→ = {7⋅(-8); 7⋅3} = {-56; 21}.

For the second vector, we have: 3⋅MT−→ = {3⋅2; 3⋅10} = {6; 30}.

Then to add the two vectors, we simply add the corresponding components: {-56; 21} + {6; 30} = {-50; 51}.

Therefore, the final result is {-50; 51}.

Answer:

201.06 cm squared

Step-by-step explanation:

The formula for area of a circle is

A=πr²

Since they give you the diameter, you have to divide it by 2 to find the radius (16 ÷ 2)

Plug in the numbers (π × 64) and you get your answer!

Have a good day :)

Answer:

Slope Angle. is the correct answer.

I'm assuming you want to answer problem 5.

If so, then the answer is A = 84 degrees

==========================================================

Explanation:

Minor arc BC is 96 degrees. This is the measure along the edge of the curve from B to C, following the shorter path. You correctly identified that the central angle BKC is also congruent to this arc measure, since the central angle cuts off this arc.

Because segments AB and AC are tangents to the circle, this makes the segments to be perpendicular to the radii that meet at the point of tangency. In other words, AB is perpendicular to BK, and AC is perpendicular to CK.

Ignore line BC. Focus on quadrilateral ABKC. So far we know that

The only thing missing is angle A, which is what we're after. Recall that for any quadrilateral, the four interior angles always add to 360 degrees.

So,

A+B+K+C = 360

A+90+96+90 = 360

A+276 = 360

A = 360-276

A = 84

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

Or as a shortcut, you can use the property that because B and C are right angles, this means we have 360-B-C = 360-90-90 = 180 degrees left for angles A and K to add to. This makes angle A and angle K to be supplementary.

So,

A+K = 180

A+96 = 180

A = 180-96

A = 84

Answer:

what do you mean?!??!!!!

The triangle ABC, along with it's image after the reflection x = -3, is given on the graph presented at the end of the answer.

The coordinates for the original vertices of the triangle are given as follows:

A(-5, -6), B(-4, -3) and C(-3,-7).

The reflection line is given as follows:

x = -3.

The reflection lines is a vertical line, meaning that for the reflected triangle, the y-coordinate remains constant, while the x-coordinate means that the triangles will be on the same distance relative to the reflected line, however on the opposite direction.

Vertex A has a x-coordinate two units left of x = -3, hence the coordinates of the image will be two units right, hence:

A'(-3 + 2, -6) = (-1, -6).

Vertex B has a x-coordinate one unit left of x = -3, hence the coordinates of the image will be one unit right, hence:

B'(-3 + 1, -3) = B'(-2,-3).

Vertex C remains at the same position, as it has a x-coordinate of -3.

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There were 481 people that utilized the public swimming pool that day, including 217 children and 264 adults.

An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equality of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to express the connection between two phrases on either side of a letter.

given

The number of children =X=217

The number of adults=264

Let say the number of children are denoted by X

Then the number of adults are (481-X)

Price for children =1.25X

Price for adults=2.25(481-X)

Price for children +Price for adults=865.25

1.25X+2.25(481-X)=865.25

Solving for X:

1.25X+1082.25-2.25X=865.25

-X=865.25-1082.25

-X=-217

X=217

The number of children =X=217

The number of adults=(481-X)

The number of adults=(481-217)

The number of adults=264

There were 481 people that utilized the public swimming pool that day, including 217 children and 264 adults.

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rate of change for this linear equation, y = 5x - 1 is +5

the initial value of the linear equation, y = 5x + 2 is +2.

A linear equation is an algebraic equation of the form y = mx+c, where m is the slope and c is the y-intercept, and only a constant and a first-order (linear) component are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables." If a linear equation contains two variables, it is referred to as a linear equation in two variables, and so on.

Non-linear equations are those that do not produce a straight line. It has a changeable slope value and resembles a graphed curve.

Given that,

y = 5x - 1 is a linear equation.

As we know, when linear equation is in the form of y = mx + c, here m is the slope or the rate of change, and c is the Y-axis intercept, or value of y when x is zero, or initial value.

Therefore, for the given equation, rate of change is 5 and initial value is -1.

Given that,

y = 5x + 2

is a linear equation.

As we know, when linear equation is in the form of y = mx + c, here m is the slope or the rate of change, and c is the Y-axis intercept, or value of y when x is zero, or initial value.

Therefore, for the given equation, rate of change is 5 and initial value is + 2.

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Answer:The mean for the howler monkeys is 17 and the MAD is 0.8571.

The mean for the spider monkeys is 14 and the MAD is 1.1429.

The means-to-MAD ratio is 2.6249.

Step-by-step explanation:

To find the mean of the howler monkeys, add all of the data values and divide by 7:

(15+16+17+17+17+17+18+19)/7 = 119/7 = 17

To find the MAD, subtract each data point from the mean; take the absolute deviation; then average these together:

(|15-17|+|16-17|+|17-17|+|17-17|+|17-17|+|17-17|+|18-17|+|19-17|)/7

=(2+1+0+0+0+0+1+2)/7=6/7 = 0.8571

Repeating these processes for the spider monkeys:

Mean:(12+13+13+14+14+14+16+16)/7 = 98/7 = 14

MAD:

(|12-14|+|13-14|+|13-14|+|14-14|+|14-14|+|14-14|+|16-14|+|16-14|)/7

=(2+1+1+0+0+0+2+2)/7 = 8/7 = 1.1429

Answer:

medain:64

Q1:62

Q3:70

Step-by-step explanation:

the line in the middle of the box in the box plot is the medain which is over the number 65

Q1 is the first line of the box which is over 62 and Q3 is the 3rd one is 70.

(im a bit confused with the box plot part

Answer:

The desired midpoint is (1, 2).

Step-by-step explanation:

The average of the x-coordinates of the two given points is (4 - 2)/2, or 1.  The average of the y-coordinates is (3 + 1)/2 = 4/2 = 2.

The desired midpoint is (1, 2).

Answer:

8

Step-by-step explanation:

as side of square are equal

3x=5x-16

3x+16=5x

16=5x-3x

16=2x

16÷2=x

8=x

therefore value of x is 8

Answer:

x=8

Step-by-step explanation:

The sides on a square measure the same

so

5x-16 = 3x

2x=16

x=8

Answer:

B

Step-by-step explanation:

180-152=28

t=180-(28+90)

t=62

Answer:

(15,19

Step-by-step explanation:

The Boolean dual are created by replacing AND operator with OR operator and the complement is defined as the negation of the statement .

What is Boolean Expression ?

The Boolean Expression is defined as a logical statement that is either TRUE or FALSE . It compares data of any type as long as both the parts of  expression have same basic data type.

The Dual of Boolean Expression are calculated by simply replacing AND operator with OR and OR operator with AND .

The Compliment of Boolean Expression  is defined as negation of  variables with replacement .

For Example : if the statement is [tex]A+B[/tex] ,

then the dual will be [tex]AB[/tex] and the compliment will be [tex]A'B'[/tex] .

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by splanation, in be clearly what he taking about. the hamburger, usually. is 1/4 p.1/2 p. in triple hamburger on 4 by 4

The number of used hamburgers that is 80% lean is = 500

and the number of used hamburgers that is 88% lean is = 300.

Let the number of hamburger that is 80% lean be = x.

So the number of hamburger that is 88% lean is = 800 - x

According to question after the mixing all these the total percentage of lean in 800 ponds of burgers is 83%.

So, the suitable mathematical equation is,

80% of x + 88% of (800 - x) = 83% of 800

(80/100) x + (88/100) * (800 - x) = (83/100) * 800

80x + 88 (800 - x) = 83 * 800 [Multiplying 1000 with both sides]

80x + 88 * 800 - 88x = 83 * 800

88x - 80x = 88 * 800 - 83 * 800 = 800 (88 - 83) = 5 * 800

8x = 800 * 5

x = (800 * 5)/8 = 100 * 5 = 500

Hence the number of hamburger with 80% lean is 500 and the number of hamburger with 88% lean is = (800 - 500) = 300.

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The two posters will cover 776 square inches of Melody's bedroom wall.

To find this, you add the area of the two posters together. Poster A has an area of 450 square inches, and poster B has an area of 326 square inches. By adding these two values together, we get 450 + 326 = 776 square inches. This is the total area that the two posters will cover on Melody's bedroom wall. It is important to note that this is assuming that the posters do not overlap each other and that they are placed next to each other, covering an equal area of the wall.

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Answer:-1/p^3

Step-by-step explanation:You do exponents first so -p to the power of -7 is -1/p^7 which then you do -p^4 which is p^4 multiply both you get -1/p^3

Answer:

Step-by-step explanation:

Hope this helps you :)

The total cost of Jess Norton is $995.85 and the total cost of Olive Baker is $678 .

What is total cost ?

The total cost formula is used to total up the variable and constant expenses associated with providing commodities. Total cost = (Average Fixed Cost x Average Variable Cost) x Units Produced is the formula.

In economics, total cost is the total of all expenses a company incurs to produce a particular level of output.

The average cost, or the typical sum of money required to create a unit, can be determined using the cost function. The average cost function is A(x)=C(x)x, where x > 0 and C is the constant. Calculating the average cost per unit requires dividing the total cost by the quantity of units produced.

 2 one hundred dollar bills = 2 x $100

                                                   = $200                

 Total deposits = 2 one hundred dollar bills + Checks

                                = $200 + $474.85 + $321

                                = $995.85          

 Checks amount = $100 x 4

                                   = $400                  

 12 for $7.5

       = 12 x $7.5

       = $90                  

 Six 20-dollar bills = 6 x $20

                                     = $120                  

 Five 10-dollar bills = 5 x $10

                                      = $50                  

 Eighteen 1-dollar bills = 18 x $1

                                            = $18                

 Total deposits = $400 + $90 + $120 + $50 + $18

                                = $678

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Answer:

<CPE= 137

Step-by-step explanation:

In order to find the measure of (<CPE), one must add the measure of <(CPD) and (<DPE). From the given picture, one can infer that line (CA) is a diameter. This means that the sum of all angles on either side of the line is (180). Therefore, to find the measure of (<DPE) add up all of the angle measures on one side of the line, and set it equal to (180). Solve and then add the result to the value of (<CPD) to find the measure of (<CPE).

(<CPD) + (<DPE) + (<EPA) = 180

Substitute,

88 + (<DPE) + 43 = 180

Simplify,

131 + (<DPE) = 180

Inverse operations,

<DPE = 49

Now add the value of (<DPE) to (<CPD),

(<CPD) + (<DPE)

= 88 + 49

= 137

Answer:

2

Step-by-step explanation:

The bars means absolute value so you would find the distance from zero, which is two. Also, anything with negatives in those bars changes to positive because you are calculating the distance from zero. The positive numbers should always stay the same.

Answer:

2

Step-by-step explanation:

The absolute value is the distance between a number and zero. The distance between  

− 2  and  0  is  2

Answer: its  D) 24

Step-by-step explanation:

For your answer i have checked and it is correct it is D) 24