Which expression can go in the blank to make the equation true?
-4.5 + 4.4 + ? = 0

A.) −6.7+6.8
B.) −6.7+(−6.6)
C.) 7.2 + (-7.2)
D.) 7.2 + (-7.3)
please help !!

If Jared uses two theorems together to make a conjecture about the sum of the interior angles of pentagons, Jared is using deductive reasoning. Correct option is B.

Deductive reasoning is a logical process in which a conclusion is reached by applying general principles or known information to specific situations. In this case, Jared is using two theorems, which are general principles that have been proven to be true, to make a conclusion about a specific situation, the sum of interior angles of pentagons.

The conclusion that Jared makes is a conjecture, which is a hypothesis or a tentative conclusion that is based on limited evidence or observation.

In contrast, inductive reasoning is a logical process in which a conclusion is reached based on a series of observations or specific instances. Inductive reasoning involves making generalizations based on specific observations, which can lead to a hypothesis or a theory.

Therefore, Jared's use of two theorems to make a conclusion is an example of deductive reasoning. Correct option is B.

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Step-by-step explanation:

False,

Vertical angles isn't always complementary l

Answer:

true

Step-by-step explanation:

If two angles are congruent, their measures are equal.

Answer:

the answer is 345 4 like it literally says it on the paper like how could you not know that like it's on the

answer: the range is 41.

to find the range of this data set, we first need to find the minimum and maximum values - which are 59 and 100.

then we subtract the minimum from the maximum.

59 - 100 = 41.

Answer:

657 pounds

Step-by-step explanation:

Given

Represent the amount of fertilizer with x and the yield with y.

So, we have:

\((x_1,y_1) = (70,630)\)

\((x_2,y_2) = (100,900)\)

Required:

Determine the yield (y) when fertilizer (x) is 73ft^3

Using linear interpolation, we have:

\(y = y_1 + (x - x_1)\frac{(y_2 - y_1)}{(x_2 - x_1)}\)

Substitute the x and y values using

\((x_1,y_1) = (70,630)\) and \((x_2,y_2) = (100,900)\);

We have:

\(y = y_1 + (x - x_1)\frac{(y_2 - y_1)}{(x_2 - x_1)}\)

\(y = 630 + (x - 70)\frac{(900 - 630)}{(100 - 70)}\)

\(y = 630 + (x - 70)\frac{270}{30}\)

\(y = 630 + (x - 70)*9\)

Open bracket

\(y = 630 + 9x - 630\)

\(y = 9x - 630+630\)

\(y = 9x\)

To solve for y when x = 73.

We simply substitute 73 for x

\(y = 9x\)

\(y = 9 * 73\)

\(y = 657\)

Hence, the yield for 73 cubic feet is 657 pounds

To create the tables and calculate the average mean, we need to have a set of data that we want to organize in a tabular form. The table should have columns for the data values, frequency, and frequency subtotal. The frequency column will show how many times a particular data value appears in the set.

The frequency subtotal column will be used to find the sum of the product of each data value and its corresponding frequency.

The average mean can be calculated by dividing the sum of the frequency subtotal by the total frequency.

Mean = (\(f_{1}x_{1}\) + \(f_{2}x_{2}\)+ \(f_{3}x_{3}\)+ ... + \(f_{n}x_{n}\)) / (\(f_{1}\)+\(f_{2}\)+\(f_{3}\)+...+\(f_{n}\))

By creating this table, we can easily see the distribution of the data and can calculate the average mean. This method of organizing data in tabular form is commonly used in statistics and data analysis, and it is an efficient way of summarizing and understanding large sets of data.

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Answer:

\(ACE=ECD\)

Step-by-step explanation:

The figure is in the image attached.

If ray CE is an angle bisector of ACD, then

\(ACE=ECD\)

Also,

\(ACD=2(ACED)=2(ECD)\)

Because the angle was divided in two equal parts.

Therefore, the statement that describes the bisection could be

\(ACE=ECD\)

Answer:

The actual answer is B

Step-by-step explanation:

mAngleACE = one-halfmAngleACD

Answer:

4

Step-by-step explanation:

Answer:

7c + 4 = 8

7c = 8 -4

7c = 4

c=4/7

Answer:

=8p−7.25

Step-by-step explanation:

=(5)(p)+(5)(−1)+(3)(p)+(3)(−0.75)

=5p+−5+3p+−2.25

=5p+−5+3p+−2.25

=(5p+3p)+(−5+−2.25)

=8p+−7.25

Answer:It take her 20 minutes, but I dont know how to graph yet, so I can only tell you that xx=20

The cost of 20 T-Shirt will be 2560 when cost of one t-shirt is 128.

When a selling price and profit are provided, cost price equals selling price plus profit. When the selling price and loss are disclosed, cost price equals selling price plus loss.

Profit is calculated as S.P. - C.P. If the selling price is less than the cost price, the difference between the two is the loss incurred. Loss is also equal to C.P. - S.P.

We must divide the gross profit by the entire revenue for the year, multiply by 100, and then find the gross profit margin. We must divide net income (or net profit) by the entire annual revenue before multiplying the result by 100 to get the net profit margin.

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Step-by-step explanation:

work he in a department store

Given

To find

Let the purchase value be P,

ATQ,

P -3 x 0.1P = Rs 43,740

P-0.3P = Rs 43,740

0.7P = Rs 43,740

P = Rs 43,740/0.7

P = Rs 62,486 (approx)

Hence, the purchase value of the machine would be Rs 62,486

The solutions to the system are (x,y) = (-2,1) and (x,y) = (1,-2).

An equation is a mathematical statement that indicates that two expressions are equal. It typically consists of two sides separated by an equal sign (=). An equation can contain variables, constants, and mathematical operations such as addition, subtraction, multiplication, division, exponents, and roots.

Given equation;

y=x²-3

x+y=-1

To solve the system, we can substitute the expression for y from the first equation into the second equation and solve for x:

x + (x² - 3) = -1

Rearranging and simplifying:

x² + x - 2 = 0

Factorizing:

(x + 2)(x - 1) = 0

Therefore, x = -2 or x = 1.

To find the corresponding values of y, we can substitute each value of x into the first equation:

When x = -2, y = (-2)² - 3 = 1.

When x = 1, y = 1² - 3 = -2.

Therefore, the solutions to the system are (x,y) = (-2,1) and (x,y) = (1,-2).

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Answer: 60

Step-by-step explanation: The product of 5 and 12 is 60. So, the number is always divisible by 60.

Answer:

60

Step-by-step explanation:

5 x 12 which will If you answer at 60 and therefore the number, or which is always divisible by 5 and 12 both. It will always be divisible by 60 as well.

To make this problem solvable, I have replaced the 't' in the second equation for a 'y'.

Answer:

x = -9

y = 2

Step-by-step explanation:

Solve the system:

2x + 3y = -12       [1]

2x + y = -16       [2]

Subtracting [1] and [2]:

3y - y = -12 + 16

2y = 4

y = 4/2 = 2

From [1]:

2x + 3(2) = -12

2x + 6 = -12

2x = -18

x = -18/2 = -9

Solution:

x = -9

y = 2

\( \huge \: \tt \green{Answer} \)

Olivia and kieran share ratio 2 : 5

\( \texttt{olivia's share \: of \: money = £42 }= \frac{2}{7} \\ \)

Total Amount of Money = Olivia's share of money × Reciprocal of olivia's share

\( \tt \: = > 42 \times \frac{7}{2} \\ \\ = > 147\)

Kieran's share of Money =

\( = > 147 \times \frac{5}{7} \\ \\ = > \sf{ \pink{£105}}\)

Answer:

The sum of their ages is 29, which we can express as the equation:

P + (P - 11) = 29

Simplifying the equation:

2P - 11 = 29

Adding 11 to both sides:

2P = 40

Dividing both sides by 2:

P = 20

Therefore, Pete's age, represented by "P," is 20 years old.

.7x is the discounted price in terms of x.

If we assume that the regular price is 100 dollars, then a 30% discount would yield a discounted price of $70. Which is .7 of our starting value x.

The specified scale factor of the dilation from S to M is 3/2 therefore, the scale factor of the dilation transformation from M to S is 2/3

A dilation is a transformation in which the lengths of the sides of the image are increased or decreased in the proportion, specified by a scale factor to the dimensions of the pre-image.

The specified scale factor from triangle S to triangle M = 3/2

3/2 = 1.5

Therefore, the length of the sides of triangle M are 1.5 times the lengths of the sides of triangle S

Let L represent the length of a side of triangle S, we get;

The length of the corresponding side on triangle M = 1.5 × L

The scale factor from triangle M to triangle S is found by taking the ratio of the corresponding sides of triangle S and M as follows;

Scale factor, SF, from M to S  = Length of a side on triangle S ÷ Length of the corresponding side on triangle

Therefore;

\(SF = \dfrac{L}{1.5\cdot L} = \dfrac{1}{1.5}\)

1.5 = 3/2, therefore;

\(SF = \dfrac{1}{1.5} = \dfrac{1}{\frac{3}{2} } =\dfrac{2}{3}\)

Therefore, the scale factor from M to S is 2/3

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Answer:

A list of numbers or objects in a special order. Example: 3, 5, 7, 9, ... is a sequence starting at 3 and increasing by 2 each time.

Step-by-step explanation:

Answer:

8/3

Step-by-step explanation:

i put equations as this:

x+40 = y

where x is galllons of pure mixture and y is the gallons of the new mixture

the other equation i id was:

x+0.2(40) = 0.25y

x+8 = 0.25y

y = 4x+32

solve using substitution

(x+40) = 4x+32

x = 4x-8

-3x = -8

x = 8/3

Answer:

the Inverse of the matrix is; A⁻¹

\(= \left[\begin{array}{ccc}\frac{-3}{(2k)} &\frac{1}{k}&\frac{15}{(2k)}\\\frac{-3k+15}{(10k)}&\frac{-1}{k}&\frac{-75+13k}{(10k)}\\\frac{1}{2}&0&\frac{-5}{2}\end{array}\right]\)

Step-by-step explanation:

Given the data in the question;

Matrix A = \(\left[\begin{array}{ccc}-25&-25&-13\\k&0&3\\-5&-5&-3\end{array}\right]\)

To find the Inverse of matrix A

A⁻¹ = Adj.A / det.A

so

Determinant of the matrix A will be

|A| = -25( 0 + 15) + 25( -3K + 15 ) - 13( -15K + 0 )

= -375 - 75K + 375 + 65K

= -10K

Now, the adjoin of matrix A will be

Adj.A = \(\left[\begin{array}{ccc}15&-10&-75\\3k-15&10&75-13k\\-5k&0&25k\end{array}\right]\)

The Inverse of the matrix is;

A⁻¹ = Adj.A / det.A

\(= \frac{1}{-10k} \left[\begin{array}{ccc}15&-10&-75\\3k-15&10&75-13k\\-5k&0&25k\end{array}\right]\)

\(= \left[\begin{array}{ccc}\frac{15}{-10k} &\frac{-10}{-10k}&\frac{-75}{-10k}\\\frac{3k-15}{-10k}&\frac{10}{-10k}&\frac{75-13k}{-10k}\\\frac{-5k}{-10k}&\frac{0}{-10k}&\frac{25k}{-10k}\end{array}\right]\)

\(= \left[\begin{array}{ccc}\frac{-3}{2k} &\frac{1}{k}&\frac{15}{2k}\\\frac{-3k+15}{10k}&\frac{-1}{k}&\frac{-75+13k}{10k}\\\frac{1}{2}&0&\frac{-5}{2}\end{array}\right]\)

\(= \left[\begin{array}{ccc}\frac{-3}{(2k)} &\frac{1}{k}&\frac{15}{(2k)}\\\frac{-3k+15}{(10k)}&\frac{-1}{k}&\frac{-75+13k}{(10k)}\\\frac{1}{2}&0&\frac{-5}{2}\end{array}\right]\)

Therefore the Inverse of the matrix is; A⁻¹

\(= \left[\begin{array}{ccc}\frac{-3}{(2k)} &\frac{1}{k}&\frac{15}{(2k)}\\\frac{-3k+15}{(10k)}&\frac{-1}{k}&\frac{-75+13k}{(10k)}\\\frac{1}{2}&0&\frac{-5}{2}\end{array}\right]\)

*see attachement for the diagram of the figure being referred to

Answer:

<1

Step-by-step explanation:

Alternate exterior angles are a pair of angles which are located on the opposite side of the transversal, outside the two parallel lines.

From the figure given, you would see that <7 and <1 lie on opposite side of the transversal and they lie on the outside of the two parallel lines that are cut across by the transversal.

Therefore:

<7 and <1 are alternate exterior angles.

Step-by-step explanation:

Plug

\( {x}^{2} + 1\)

for x.

\(( {x}^{2} + 1) {}^{2} + 1\)

Note that

\((a + b) {}^{2} = 2ab\)

So we have

\( {x}^{4} + 2 {x}^{2} + 2\)

Answer:

\(u = - 144\)

Step-by-step explanation:

\( - 24 = u \div 6\)

\( - 24 \times 6 = u\)

\( - 144 = u\)

to be sure

\( - 24 { = }^{?} - 144÷6\)

\( - 24 = - 24\)

Answer:

u = -144

Step-by-step explanation:

-24 = u ÷ 6

Multiply both side by 6.

-24 × 6 = u ÷ 6 × 6

-144 = u

Verification:-

-24 = -144 ÷ 6

-24 = -24

LHS = RHS