Solve for the value of z.
(7z+7)°
(9z-7)°

Answer:

(A) Nuclear fission takes place in the nucleus of atoms

Step-by-step explanation:

I took the test!

Answer:7 and

Step-by-step explanation:

Answer: 7 raspberry tarts and 7 blueberry tarts

Step-by-step explanation:

28 raspberries / 4 raspberries for each tart = 7 raspberry tarts

35 blueberries / 5 blueberries for each tart = 7 blueberry tarts

Step1:

You are to subtract g(x) from f(x)

Step2:

Simplify and collect like terms

therefore,

Option D is the correct answer

Answer:

C = 62.8

Step-by-step explanation:

C = 2πr

π = 3.14

diameter = 20 ft

r = 10 ft

Get r or the radius by taking half of the diameter which is 20 ft and get 10 ft.

Plug this information in the formula and multiply to get C or the circumference.

C = 2(3.14)(10)

C = 62.8

Answer:

y = 3

Step-by-step explanation:

20 = 4 (y + 8) - 8y

20 = 4y + 32 - 8y

20 - 32 = 4y - 8y

-12 = -4y

-4y = -12

-4y/-4 = -12/-4

y = 3

To check

20 = 4 (y + 8) - 8y

20 = 4 (3 + 8) - 8(3)

20 = 12 + 32 - 24

20 = 44 - 24

20 = 20

Correct~

Answer: y = 3

Step-by-step explanation:

1. Distribute the 4 to the terms in the parenthesis.

20 = 4y + 32 - 8y

2. Combine like terms (those containing y).

20 = -4y + 32

3. Isolate terms with y by subtracting 32 from both sides.

-12 = -4y

4. Divide both sides by -4.

3 = y

The square root of a number can also be negative number so x could also be -9

Square root of a number is the number such that if it is multiplied by itself we get the square. The opposite of squaring an integer is finding its square root. As we know multiplication of two negative numbers produce a positive number. this is the reason why square of both positive and negative numbers are both positive. therefore, square root of a number can also be positive or neegative both. That is why we can't take square root of negative numbers.

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The equivalent expression in the form of statement will be -

"negative 5 over 8 times g plus negative 19".

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is the following statement - "3 over 4 times g minus 6 minus 7 over 8 times g minus the expression one over 2 times g plus 13"

We can write the statement in the form of a equation as -

(3g/4 - 6) - (7g/8) - (g/2 + 13)

3g/4 - 6 - 7g/8 - g/2 - 13

(3g/4 - 7g/8 - g/2) - (6 + 13)

On solving, we get -

- 5g/8 - 19

Therefore, the equivalent expression in the form of statement will be -

"negative 5 over 8 times g plus negative 19".

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Answer: 195/4

Step-by-step explanation:

In every triangle the addition of all internal angles is always 180 degrees.

So this means we can build this equation

5x + 35 + 60 = 180

now separate x values and numerical values

5x = 180 - 60 - 35

x= (180 - 60 - 35)/ 5 = 85/5 = 17

Firstly, let's draw a picture of the distribution:

Graphically, we want to calculate the blue area. To put it differently, we want to calculate

To do this, we need to find the z-score associated with 6. We can calculate it by

Now, we must check our favorite z-score table and look for the probability associated with the z-score we just found. It's 0.0018.

The probability that a randomly selected TV will have a warranty of less than 6 years is 0.0018.

In order to break down this product, we need to apply the distributive property of the multiplication.

So we need to find the product of each term inside a binomial by each term in the other binomial.

That is, first we find x times x and x times 3, then we find 4 times x and 4 times 3, finally we add them all:

So the final expression is x2 + 7x + 12.

The surface area of a cylinder with a volume of 18 cubic units and a radius of 3 units is 68.52 units².

The volume of a cylinder is calculated as:

= πr²h

In this case, the volume is given as 18 units³. The computed height is 0.637 units.

The surface area will be:

= 2πr² + 2πrh

= 2(3.14 × 3²) + (2 × 3.14 × 3 × 0.637)

= 56.52 + 12

= 68.52 units²

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Answer: [tex]m=\frac{360^{\circ}}{n}[/tex]

Step-by-step explanation:

This is a standard result.

The second option is the segment addition postulate.

The third option is the sum of the angles of a polygon with n sides.

The fourth option is the measure of each interior angle of a regular polygon with n sides.

The fifth option is the angle addition postulate.

The unknown angles are as follows:

The value of ST in the line segment is 22 units.

An angle bisector is a bisector that bisect an angles into two equal parts.

Therefore, EF is the angle bisector of ∠EFG.

The bisector divides the ∠EFG equally into ∠EFH and ∠HFG.

Hence,

∠EFH  = ∠HFG

m∠HFG = 80°

m∠EFH  = 80°

m∠EFG = 80 + 80

m∠EFG = 160°

12.

Let's find ST in the line segment.

PT = 40

QS = 12

PQ = QR = RS = x

QR + RS = QS

2x = 12

x = 12 / 2

x = 6

Therefore,

PQ = QR = RS = 6 units

PS = PQ + QR + RS

PS = 6 + 6 + 6

PS = 18 units

Hence,

ST = PT - PS

ST = 40 - 18

ST = 22 units

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-( ( 7 - u )( u - 2 ) ) is the factorized form of the polynomial -7u² + 12u + 4, using the AC method.

Given the polynomial in the question;

-7u² + 12u + 4

Factor out -1 out of the polynomial

-1( 7u² - 12u - 4 )

Compare to the form ax² + bx + c

To factor, compare to the form ax² + bx + c and rewrite the middle term as a sum of two terms whose product is;

a × c = 7 × -4 = -28

and whose sum is;

b = -12

Now, factor -12 out of -12x

-1( 7u² - 12(u) - 4 )

We know that -13 is the same as 2 plus -14

-1( 7u² - ( 2 - 14 )u - 4 )

Apply distributive property

-1( 7u² - 2u - 14u - 4 )

Group the terms

-1( u(7u - 2) - 2(7u - 2 ) )

-1( (7-u)(u-2) )

-( (7-u)(u-2) )

Therefore, the factorized form of the polynomial is -( ( 7 - u )( u - 2 ) ).

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-(7u+2)(u-2) is the factorized form of expression -7u²+12u+4.

An expression is combination of variables, numbers and operators.

The given expression is -7u²+12u+4.

We need to find the factors of this expression.

-7u²+12u+4.

This can be written as

-7u^2+14u-2u+4.

Take 7u from first two terms and 2 from last two terms in the expression.

-7u(u-2)-2(u-2)

(-7u-2)(u-2)

-(7u+2)(u-2)

Hence -(7u+2)(u-2) is the factorized form of -7u^2+12u+4.

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The greatest number of cards that April can place in a row , so that the two families have same number of cards in each row is  14.

In the question ;

it is given that

number of card that Bride's family has = 154

number of cards that Groom's family has = 140 cards.

So , to find the greatest number of cards that April can place in a row we need to find the GCF(154,140) ,

to find the GCF (154,140)

prime factorization of 154 = 2*7*11

prime factorization of 140 = 2*2*5*7

common factors = 2*7

Hence the GCF(154,140) = 14

Therefore , the greatest number of cards that April can place in a row , so that the two families have same number of cards in each row is  14.

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Answer: 3/5 cm

Step-by-step explanation:

Let the length of the base be x. Then, using the formula for the area of a triangle,

[tex]\frac{3}{25}=\frac{1}{2} \cdot \frac{2}{5} x\\\\\frac{3}{25}=\frac{1}{5}x\\\\x=\frac{3}{5}[/tex]

Answer:

-152

Step-by-step explanation:

1. Parenthesis

2. Exponents

3. Multiplication/Division (left to right)

4. Addition/Subtraction (left to right)

Always look left to right.

The first thing is 9x24=216 (3. multiply)

10-216/8x6

Then 216/8=27 (3. divide)

10-27*6

Then 27*6=162 (3. multiply)

10-162

Then finally 10-162=-152 (4. subtract)

The expression 10 - 9 x 24/8 x 6 following (PEMDAS/BODMAS) is 5.5.

We have,

To solve the expression using the order of operations (PEMDAS/BODMAS), follow these steps:

Perform multiplication and division from left to right:

10 - 9 x 24/8 x 6 can be rewritten as 10 - (9 x 24) / (8 x 6).

Perform the multiplication inside the parentheses:

10 - (9 x 24) / (8 x 6)

10 - 216 / (8 x 6).

Perform the multiplication in the denominators:

10 - 216 / (8 x 6)

10 - 216 / 48

Perform the division:

10 - 216 / 48

10 - 4.5

Perform the subtraction:

10 - 4.5

5.5

Therefore,

The expression 10 - 9 x 24/8 x 6 following (PEMDAS/BODMAS) is 5.5.

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Step-by-step explanation:

Solve for y: -2 = y + 5/6

-2 = y + 5/6 subtract 5/6 from both sides:

-2 - 5/6 = y + 5/6 - 5/6

-2 - 5/6 = y

combine left side:

-17/6 = y

so:

y = -17/6

OR:

[tex]y = -2\frac{5}{6}[/tex]

Answer: 769 bottles ≤ 12x + 205, or 564 bottles ≤ 12x

Step-by-step explanation:

➜ They need at least 769 bottles, so our inequality will use either ≤ or ≥ depending on how we set it up.

➜ They currently have 205 bottles, so we will use addition to show there are some glasses currently owned

➜ If each set contains 12 glasses, we will multiply x, the number of sets bought, by 12

     With these details, we will write an inequality.

769 bottles ≤ 12x + 205

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Question 7:

The y-axis on a graph is the vertical line on a graph, it represents the dependent variable.

Any point on the y-axis of a graph, has an x-value of zero.

Therefore, from the list given, any coordinate with an x-value of zero is on the y-axis.

Apply the point form: (x, y)

The following coordinates represent a point y-axis:

(x, y) ==> (0, -4)

(x, y) ==> (0, 3)

ANSWER:

(0, -4)

(0, 3)

Step-by-step explanation:

The sum of measure of supplementary angles = 180°

The measure of angle 1 is given as 10x + 5 and the measure of angle 2 is given as 6x - 1

10x + 5 + 6x - 1 = 180 add like terms

16x + 4 = 180 subtract 4 from both sides

16x = 176 divide both sides by 16

x = 11

To find the measure of each angle, relace x with 11

angle 1,

10*11 + 5 = 115

angle 2,

6*11 - 1 = 65

ANSWER

The percent error is 10.9 %

EXPLANATION

The percent error is:

In this problem, the approximate value is 16 and the exact value is 14.25:

Answer:

10.9%

Step-by-step explanation:

14.25/16 = 0.890625

0.890625 * 100 = 89.0625

1 - 89.0625 = 10.9375%

Let the two equations be 6w — 8z = 16 and 3w — 4z = 8

Then the equation be

[tex]$6 \cdot w-(8 \cdot z)-16=0$[/tex]

To estimate the value of w, we get

[tex]$6 \cdot w=-(-8 \cdot z-16)=6$[/tex]

simplifying the above equation, we get

[tex]$w=\frac{(-(-8 \cdot z-16))}{6}$[/tex]

[tex]$w=\frac{(16-(-8 \cdot z))}{6}$[/tex]

We insert the solution into one of the initial equations of our system of equations We get a system of equations:

[tex]$3 \cdot\left(\frac{(16-(-8 \cdot z))}{6}\right)-(4 \cdot z)-8=0 \\[/tex]

Therefore, the value of

[tex]$w=\frac{(16-(-8 \cdot z))}{6}[/tex]

If the two equations be 6w — 8z = 16 and 3w — 4z = 8 then the system of equations has infinitely many solutions.

Let the two equations be 6w — 8z = 16 and 3w — 4z = 8

Then the equation be

[tex]$6 \cdot w-(8 \cdot z)-16=0$[/tex]

To estimate the value of w, we get

[tex]$6 \cdot w=-(-8 \cdot z-16)=6$[/tex]

simplifying the above equation, we get

[tex]$w=\frac{(-(-8 \cdot z-16))}{6}$[/tex]

[tex]$w=\frac{(16-(-8 \cdot z))}{6}$[/tex]

We insert the solution into one of the initial equations of our system of equations We get a system of equations:

[tex]$3 \cdot\left(\frac{(16-(-8 \cdot z))}{6}\right)-(4 \cdot z)-8=0 \\[/tex]

Therefore, the value of

[tex]$w=\frac{(16-(-8 \cdot z))}{6}[/tex]

[tex]$&\frac{(3 \cdot(8 \cdot z+16))}{6}-4 \cdot z-8=0 \\[/tex]

simplifying the above equation, we get

8 - 8 = 0

0 = 0

The system of equations has infinitely many solutions.

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AnswerAnswerAnswer:

mutiply 14 by 6704

Step-by-step explanation:

The multiplication expression for the area covered is 3 x 8 and the number of grids will be 24.

Multiplication is the general procedure in mathematics in which we multiply two or more numbers by each other to find a new multiplied number.

Multiplication gives us a resultant number that will be very big as compared to the number which is going to be multiplied if and only if the number which is going to be multiplied is more than one.

As per the given decimal grid,

The number of colored raw = 8

The number of colored columns = 3

Total grids = 8 x 3 = 24

Hence "The multiplication expression for the area covered is 3 x 8 and the number of grids will be 24".

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Answer:

the answer is 26

Step-by-step explanation:

j+2h

(2) + 2(12)

2 + 24

26

To determine  probability with replacement, It uses sampling with replacement. In other words, you want to determine the likelihood of an event in which you choose a ball, card, or other object from a set of options and then swap it out after each choice.

Example:

Consider a scenario in which you wished to sample two people from a population of seven.

Those people are:

John, Jack ,Qiu, Tina, Hatty, Jacques, Des

Their names could be placed in a hat. If you sample with replacement, you would pick one name, put it back in the hat, and then pick a different name. Your two-name sample has the following potential outcomes:

John, John

John, Jack

John, Qui

Jack, Qui

Jack Tina

…and so on.

The two products you sample with replacement are independent. In other words, the outcome of one has no bearing on the other. The odds of picking the first name are 1/7, and the odds of picking the second name are 1/7.

P(John, John) = (1/7) * (1/7) = .02.

P(John, Jack) = (1/7) * (1/7) = .02.

P(John, Qui) = (1/7) * (1/7) = .02.

P(Jack, Qui) = (1/7) * (1/7) = .02.

P(Jack Tina) = (1/7) * (1/7) = .02.

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a) We know that in the northern Hemisphere we have 4 seasons: Summer where is more sun, Spring, and autumn that the sun is like 50/50 and winter that is the season with less sun. So we can made a graph with this so:

b) In this case if we have a simple interest is going to be a streight light that is going to increase. So the graph will be:

c) An item that increase it's price by 50% is going to be increasing each time more, so this case will be an exponential so the graph will be:

d) The high of a triangle and the base of the triangle are going to to have a constant rate. so the graph will be a horizontal line so: