One large jar and three small jars together can hold 14 ounces of jam. One large jar minus one small jar can hold 2 ounces of jam. A matrix with 2 rows and 2 columns, where row 1 is 1 and 3 and row 2 is 1 and negative 1, is multiplied by matrix with 2 rows and 1 column, where row 1 is l and row 2 is s, equals a matrix with 2 rows and 1 column, where row 1 is 14 and row 2 is 2. Use matrices to solve the equation and determine how many ounces of jam are in each type of jar. Show or explain all necessary steps.

Answer:

y=3x+4

Step-by-step explanation:

The original formula for slope-intercept is y=mx+b.

b is your y-intercept (where the line crosses the y-axis).

m is your slope which is 3/1 or just 3.

The figure which is like a long oval can be decomposed to two semicircles and a rectangle so as to find the area.

Given a long oval and two lines are drawn where the sides are straight to form right angles.

We are required to find the way how we can decompose the composite figure to determine its area.

Area means the amount of space occupied by a two dimensional shape or object. The area of a figure can be decomposed to smaller figures so as to find the area.

The composed figure can be decomposed to two semicircles and a rectangle so as to find the area.

Hence the composite figure can be decomposed to two semicircles and a rectangle so as to find the area.

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Answer:

a

Step-by-step explanation:

Part A

[tex]3x^2 -2x-1+9x+2x^2 -3=\boxed{5x^2 + 7x-4}[/tex]

Part B

[tex](5x^3 +4x^2 - x-3)-(5x^2 + 7x-4)=\boxed{5x^3 - x^2 - 8x+1}[/tex]

Part C

No, because although they provide examples for specific polynomials being closed under addition and subtraction, there is a loss of generality.

Answer:

35%

Step-by-step explanation:

She is saving $0.70/$2.00 weekly.

To convert this into a percentage we covert it to decimal then multiply by 100 :

$0.70/$2.00 = 0.35

0.35 × 100 = 35%

Our final answer is 35%.

Hope this helped and have a good day

The point estimate here is 0.

Calculating the Mean of Each Set

The sample set of production rates exhibited by workers before workshop, S1 = {20, 25, 27, 23, , 22, 20, 17}

The sample set of production rates exhibited by workers after workshop, S2 = {22, 23, 27, 20, 25, 19, 18}

The mean of set S1 = (20+25+27+23+22+20+17)/7

= 154/7

= 22

The mean of set S2 = (22+23+37+20+25+19+18)/7

= 154/7

=22

Calculating the Point Estimate

The formula for point estimate is given as,

Point Estimate  = The mean of set S1 - The mean of set S2

Point Estimate = 22-22

Point Estimate = 0

Therefore, the point estimate for the difference between the means of the two populations or sets is 0

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Answer:

D

please mark brainiest

Simplification of the expression gives 2a + c = -24

4+4-3-4-2-5-1-8-9-0=a +c + a

First, let's add

[tex]8 -3 -4-2-5-1-8-9-0 = a+ c + a[/tex]

Then, let's substract

[tex]-24 = a + c + a[/tex]

[tex]-24 = 2a + c[/tex]

We then have,

[tex]2a + c = -24[/tex]

Thus, simplification of the expression gives 2a + c = -24

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The value of OB based on the information given about the triangle is 3 units.

It should be noted that dilation is the process of enlarging or shrinking of an object.

In this case, the triangle is dilated. Therefore, the length of OB will be:

= 3/4 × 4 = 3 units.

Therefore, the correct option is B.

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Answer:

Second choice

Step-by-step explanation:

Analyse each sentences: The sum of x and y is 5 can be mathematically expressed as [tex]\displaystyle{x+y = 5}[/tex] since both are sum together and equal to 5.

Next, the value of y is one more than value of x can be mathematically expressed as [tex]\displaystyle{y=x+1}[/tex] because value of y is one more than value of x so y will be the value of x add with 1.

Therefore, form the simultaneous equation:

[tex]\displaystyle{\left \{ {{x+y=5} \atop {y=x+1}} \right}[/tex]

Hence, the answer is second choice.

Answer:

151 19/27 in^3

Step-by-step explanation:

volume of cube is (side length)^3

(5 1/3)^3 = (16/3)^3 = 4096/27 = 151 19/27

[tex] {\qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

Here we go ~

[tex]\qquad \sf  \dashrightarrow \: (1.6 \times 10 {}^{5} ) \sdot(2 .3 \times {10}^{1} )[/tex]

[tex]\qquad \sf  \dashrightarrow \: (1.6 \times 2.3) \sdot(10 {}^{5} \times 10 {}^{1} )[/tex]

[tex]\qquad \sf  \dashrightarrow \: 3.68 \times 10 {}^{6} [/tex]

Answer:

170.097 grams are in 6 ounces

Answer:

170.097 g to nearest thousandth

Step-by-step explanation:

1 ounce = 28.34952 g

6 = 170.09712 g

Counting numbers from 101 to 200, those with 6 as a digit are 19

Let's start by listing all the number between 101 and 200

101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200

Now, let's count the numbers with 6 as a digit

= 19 numbers has 6 as a digit

Thus, counting numbers from 101 to 200, those with 6 as a digit are 19

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The trigonometric function gives the ratio of different sides of a right-angle triangle. The value of sine and cosine will be always less than a unit.

In a unit circle, the radius of the circle represents the hypotenuse of the triangle. Since the hypotenuse is the largest side of the triangle, the ratio of the perpendicular to the hypotenuse and the base to the hypotenuse both will be less than the hypotenuse, therefore, 1. Hence, the value of sine and cosine will be always less than a unit.

In construction, we use trigonometry. For figuring areas of triangular shapes, similar to many concepts and phenomena in mathematics.

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Answer:

x is 14

1st is 14

2nd is 20

Step-by-step explanation:

4/7 (x ) = (34 - x )(2/5)

4x/7 + 2x/5 = 34 x 2/5 = 68/5

34x/35 = 68/5

x = 14

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its the first one

a system can only be a function if there is only one value of y for each value of x. there cannot be two or more values of y for one single value of x in a function.

The height & speed are mathematically given as

t = 0.2 s

u = 4 m/s

Generally, the equation for height is  mathematically given as

h = 0.2gt^2

Therefore

0.2 = 0.5 * 9.8 *[tex]t^2[/tex]

0.2 = 4.9 *[tex]t^2[/tex]

t = 0.2 s

b)

In conclusion, the initial speed is

s = ut

Therefore

u = 0.8 / 0.2

u = 4 m/s

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The total amount of Chandra's investments after 8 years is $110.03

The formula for calculating the compound interest is expressed as;

A = P(1+r/n)^nt

where

P is the amount invested = $75

r is the rate. = 0.048

t is the time =8years

n = 12 (monthly)

Substitute

A = 75(1+0.048/12)^96
A = 75(1.467)
A = 110.03

Hence the total amount of Chandra's investments after 8 years is $110.03

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The surface area of the cone is: A. 184π units².

Surface area of a cone = πr(l + r), where r is the radius and l is the slant height.

Given the following:

Surface area of a cone = π8(15 + 8)

Surface area of a cone = 184π units²

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[tex]\large\displaystyle\text{$\begin{gathered}\sf 6x+-2y^{2}+4xy^{2}+3x^{2} +5xy^{2} \end{gathered}$}[/tex]

[tex]\large\displaystyle\text{$\begin{gathered}\sf Group\:like\:terms \end{gathered}$}[/tex]

[tex]\large\displaystyle\text{$\begin{gathered}\sf =3x^2+6x-2y^2+4xy^2+5xy^2 \end{gathered}$}[/tex]

[tex]\large\displaystyle\text{$\begin{gathered}\sf Sum\:similar\:elements:\:4xy^2+5xy^2=9xy^2 \end{gathered}$}[/tex]

[tex]\boxed{\large\displaystyle\text{$\begin{gathered}\sf 3x^2+6x-2y^2+9xy^2 \end{gathered}$} }[/tex]

The algebraic expression for the given statement is: 2x² - 3 = y.

To wrote an algebraic expression is translate a statement using numbers, variables, and mathematical sign into a mathematical statement.

Square of x is: x²

Product of x² and 2 is: 2x²

Thus, we would have:

2x² - 3 = y

The algebraic expression is: 2x² - 3 = y.

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Answer: (5,5)

Step-by-step explanation:

The perpendicular to y=x has slope -1, and thus the equation of the perpendicular from (1,9) is [tex]y=-x+10[/tex].

Finding the point where they intersect, since both equations are set equal to y, we know that -x+10=x, and thus x=5.

If x=5, then y=5 as well.

So, F has coordinates (5,5).

Answer:

Step-by-step explanation:

The given relation can be used with the formula for the area of a triangle to give an equation for the altitude or base.

Let b represent the length of the base. Then the altitude (height) is (b+4). The area formula tells us the area is ...

  A = 1/2bh

Using given values, the equation becomes ...

  96 = 1/2b(b +4)

Simplifying the equation and multiplying by 2, we have ...

  192 = b² +4b

Adding (4/2)² = 4 will complete the square.

  196 = b² +4b +4 = (b +2)²

Taking the square root gives ...

  14 = b +2 . . . . . . we are not interested in the negative root

  12 = b . . . . . . . . subtract 2

  16 = b+4 . . . . . find the altitude

The base is 12 cm; the altitude is 16 cm.

The answers to the quadrilateral are ONM, NOM, and alternate interior angles.

Based on the SSS postulate, the two triangles △MLO and △ONM are congruent since three sides of △MLO are respectively equal to the three sides of △ONM.

Based on CPCTC, all of the corresponding angles of △MLO and △ONM are congruent as well since the two triangles are congruent, that is,  

∠LMO≅∠NOM and ∠NMO≅∠LOM.

Since the pair ∠LMO and ∠NOM as well as ∠NMO and ∠LOM are angles on the inner side of two lines but on opposite sides of the transversal MO, these pairs of angles are also alternate interior angles.

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Answer:    ONM

                 NOM

                alternate interior angles

Step-by-step explanation:  Complete the paragraph proof.

We are given that MN ≅ LO and ML ≅ NO. We can draw in MO because between any two points is a line. By the reflexive property, MO ≅ MO. By SSS, △MLO ≅ △

✔ ONM

. By CPCTC, ∠LMO ≅ ∠

✔ NOM

and ∠NMO ≅ ∠LOM. Both pairs of angles are also

✔ alternate interior angles

, based on the definition. Based on the converse of the alternate interior angles theorem, MN ∥ LO and LM ∥ NO. Based on the definition of a parallelogram, MNOL is a parallelogram.

Answer:

6b

You can just simply combine the variable, 6, and the coefficient, b.

Answer:

2/3 (0,-3) is one possible answer.

Step-by-step explanation:

y  -1 = 2/3(x-6)  We want to get this into the slope intercept form of a line.  We want it to be in the form y = mx + b.  Let's clear the fraction first by multiplying the whole equation through by 3.

3(y - 1) = 3[2/3(x - 6)]

3y -3 = 2(x -6)

3y - 3 = 2x -12

3y = 2x - 9  Now divide all the way through by 3 to get

y = 2/3x - 3  

y = mx + b.  The m part is the slope.  In this equation the slope is 2/3

There are in infinite amount of points on a line.  I do not know if they give you a picture or if you are just to create your own.  I am going to create a point that have x = 0.  I get to pick the point.  I could pick any number.  0 is just usually really easy.  So, if I substitute 0 for x I will get:

y = 2/3(0) - 3

y = 1  so my point is (0,-3)

Now that I think about it, I do not think that I would start out clearing the fraction even though it works.  I think that I would do it like this"

y - 1 = 2/3(x - 6)  Distribute the 2/3 through (x - 4) to get

y-1 = 2/3x -4  I can make -6 a fraction by putting it over 1.  Now we have 2/3(-6/1)  multiply across to get  -12/3.  A positive times a negative is a negative.  -12 divided by 3 is -4.

y - 1 = 2/3x -4   now add 1 to both sides.

y = 2/3x -3

The completion of the tabs are:

You may calculate how many percentage points your findings will deviate from the actual population figure by using something called a margin of error.

In conclusion

In conclusion,

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Answer:

??

Step-by-step explanation:

Payment Every Month =  $2,514.58

Total of 1 Payments =  $2,514.58

Total Interest               =  $14.58

What is simple intertest ?

Simple interest is calculated based on the principal of a loan or the initial deposit into a savings account. Simple interest doesn't compound, therefore a creditor will only charge interest on the principal sum, and a borrower will never be required to pay further interest on the interest that has already accumulated.

Solution:

Principal value = $2500

Interest rate = 7%

Time = One month

Formula for simple interest calculation:

                                                                [tex]=\frac{Principalamount*rate *time}{100} \\=\frac{2500*7*(\frac{1}{12}) }{100}\\ =14.588[/tex]

Total Simple interest on $2500 for month $14.588.

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Answer: A

Step-by-step explanation:

Let c(y)=x.

[tex]\implies x=y^3 -5\\\\x+5=y^3\\\\y=\sqrt[3]{x+5}\\\\c^{-1}(x)=\sqrt[3]{x+5}[/tex]