The temperature outside was -17 degrees. It climbed 9 degrees during the day beore dropping 10 degrees at night. What was the temperature at night?

Solution :  Three consecutive odd integers are 33,35,37

Three consecutive odd integers :

Odd numbers are whole numbers that when divided by 2 give the remainder as one. Odd numbers are written in the form 2x+1,x∈N where N is the natural numbers

the sum of the first and the third is 70.

1 st number is = a

2nd number = b

3rd number = c

Let the required one integer be x. We need three integers so one integer is x next odd integer can be written as x+2 and the third integer can be written as x+4

a+c = 70 ...1

a= x

b=x+2

c= x+4

for equation 1

x+x+4 = 70

2x+4 =70

2x= 70-4

2x= 66

x=66/2

x=33

a=33

b= x+2 =33+2 =35

c= x+4 = 33+4 = 37

Three consecutive odd integers are 33,35,37

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The Great Wall of China is about 200 times longer then the Panama Canal

Scientific notation is used to compress large numbers into smaller numbers. In order to write a number in scientific notation, the number is written as a decimal number, between 1 and 10 and multiplied by a power of 10. An examples of 100 expressed in scientific notation is 1 x 10².

In order to determine the difference in the length of the great wall of China and the Panama Canal, divide the length of the Great wall of China by the length of the Panama Canal.

(1 x [tex]10^{4}[/tex]) ÷ (5 x [tex]10^{1}[/tex])

(1/5) x [tex]10^{4 - 1}[/tex]

0.2 x [tex]10^{3}[/tex]

2 x [tex]10^{3 - 1}[/tex]

2 x10² = 200

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Step-by-step explanation:

Adding A Negative Number

Now let's see what adding and subtracting negative numbers looks like:

add subtract +- goes down

We can add weights (we are adding negative values)

the basket gets pulled downwards (negative)

Example: 6 + (−3) = 3

is really saying

"Positive 6 plus Negative 3 equals Positive 3"

We could write it as (+6) + (−3) = (+3)

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{2^{3x} = 10}[/tex]

[tex]\large\textsf{Take the logarithm to both sides:}[/tex]

[tex]\mathsf{log(2^{3x}) = log(10)}[/tex]

[tex]\mathsf{3x \times (log(2)) = log(10)}[/tex]

[tex]\large\textsf{Simplify it:}[/tex]

[tex]\mathsf{3x = \dfrac{log(10)}{log(2)}}[/tex]

[tex]\large\textsf{Simplify this as well:}[/tex]

[tex]\mathsf{3x = 3.321928}[/tex]

[tex]\large\textsf{Divide 3 to both sides of your current equation:}[/tex]

[tex]\mathsf{\dfrac{3x}{3} = \dfrac{3.321928}{3}}[/tex]

[tex]\large\textsf{Lastly, simplify that last bit of the equation:}[/tex]

[tex]\mathsf{x = \dfrac{3.321928}{3}}[/tex]

[tex]\mathsf{x = 1.107309}[/tex]

[tex]\huge\text{Thus, your answer should be: \boxed{\mathsf{x = 1.107309}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

By respecting the given ratio:

1) 10 of blue paint and 15 of yellow.

2) 4 of blue paint and 6 of yellow.

3) 2 cans of blue paint and 3 of yellow.

We know that on day 1 he uses:

On day 2 he uses:

Adding that we get:

He initially has 20 cans of yellow, so he has left:

20 - 15 = 5 cans of yellow.

He initially has 14 cans of blue, so now he has:

14 - 10 = 4

4 cans of blue paint.

The original ratio is:

6 yellow to 4 blue.

The quotient gives: 6/4 = 3/2

So if she has 5 cans of yellow paint and 4 cans of blue paint, the maximum amount that he can use that respects that ratio is 3 cans of yellow paint and 2 cans of blue paint.

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A stem and leaf plot is a table used to display data. The 'stem' is shown on the left side of the table and shows the first digit or digits of data values. The 'leaf' is shown on the right side of the table and shows the last digit of the data value.

A stem and leaf plot displays numerical data by splitting each data point into a "leaf" (usually the last digit) and a "stem" (the leading digit or digits).

Split each data point into a stem and a leaf. The stem is everything before the final digit, and the leaf is the final digit. Write the stems in a vertical column and don't skip stems just because they don't have any data.

2

3

4

5

4

5

our stems are the 10 digit data.

2 ! 0 ,1, 2

3! 3, 4,

4! 4 , 5 , 9

5 ! 0

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When the given non testable questions are made into testable questions, they become:

A testable question is one that requires the answer to be acquired by means of experimentation.

Instead of asking, "Which planet is the most interesting to study?" you could ask about the conditions that a planet has which are considered subjects of interest.

Also, instead of asking, "What happens if you do not eat breakfast?" you could ask about how the body is affected when we skip breakfast. This can be tested in an experiment that checks the body's functions when breakfast isn't eaten.

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Answer:

D.

Step-by-step explanation:

She gets 21$ for 6 hours of work, while the amount of tips is varied.

Answer: it would be A

Step-by-step explanation:

4(X-3)+14=7X-3(X+7)

or, 4X-16+14=7X-3X

or, 4X-7X+3X=(-21)+16-14

or, 0= -19

Hence, the answer is wrong but the process is right.

The number of gigabytes Bao can use while staying within her budget is 3.9 gigabytes.

From the information, plan, Bao pays a flat cost of $40.50 per month and $5 per gigabyte and she wants to keep her bill under $60 per month.

The inequality will be:

40.50 + 5g < 60

where g = number of gigabytes

40.50 + 5g < 60

5g < 60 - 40.50

5g < 19.50

g < 19.50 / 5

g < 3.9

Therefore, the number of gigabytes will be less than 3.9 g.

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Answer:

A. x = 5

B. isosceles triangle

Answer:

Step-by-step explanation:

The area is 6

because the base is 4 units and the height it 3 units, and base times height will give you 6.

The symbolic notation are;

a. Atlanta is the capital of Georgia, or there are 3 feet in a yard.

2. ⇒ p ∧ q

b. Atlanta is the capital of Georgia and there are not 3 feet in a yard.

6. ⇒ p ∨ ~ q

c. Atlanta is not the capital of Georgia, or there are 3 feet in a yard.

5. ⇒ ~ p ∧ q

d. Atlanta is the capital of Georgia, and there are 3 feet in a yard.

1. ⇒ p ∨ q

What is Symbolic notation?

Symbolic notation is a way of representing the counting numbers by writing a simple symbol.

Now,

For the false statement we use the symbol ( ~ ).

If in the statement the word ''or'' is present then we use the symbol ''∧'' and for the word ''and'' we use the symbol ''∨''.

Hence,

For the statement;

a. Atlanta is the capital of Georgia, or there are 3 feet in a yard.

Both are truth and with the word ''or'', then the symbolic notation,

⇒ p ∧ q

For the statement;

b. Atlanta is the capital of Georgia and there are not 3 feet in a yard.

One statement is truth and second is false , then the symbolic notation,

⇒ p ∨ ~ q

For the statement;

c. Atlanta is not the capital of Georgia, or there are 3 feet in a yard.

First statement is false and second is truth , then the symbolic notation,

⇒ ~ p ∧ q

For the statement;

d. Atlanta is the capital of Georgia, and there are 3 feet in a yard.

Both are truth and with the word ''and'', then the symbolic notation,

⇒ p ∨ q

So, The symbolic notation are;

a. Atlanta is the capital of Georgia, or there are 3 feet in a yard.

2. ⇒ p ∧ q

b. Atlanta is the capital of Georgia and there are not 3 feet in a yard.

6. ⇒ p ∨ ~ q

c. Atlanta is not the capital of Georgia, or there are 3 feet in a yard.

5. ⇒ ~ p ∧ q

d. Atlanta is the capital of Georgia, and there are 3 feet in a yard.

1. ⇒ p ∨ q

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The probability that exactly one of the three vcrs is defective is 0.1354

x = total number of trials = 3 VCRs

x = number of successes = number of defective VCRs = 1

n- x = 3 -1 = 2

p = P(success) = 0.05

q = P(failure) = 1 -p = 1 – 0.05 = 0.095

In this question we are applying binomial distribution strategy: it is always applied to find the probability that an outcome will occur x times in n performances or experiment.

P (x = 1) = 3C1 (0.05)1 (0.95)2

= 3 (0.05) (0.9025)

= 0.1354

Therefore, the probability of exactly one of the three VCRs being a defective one is 0.1354

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Answer:

x = -4,-2

Step-by-step explanation:

x² + 6x + 8 = 0

Factor the equation

(x+4)(x+2) =0

Using the zero product property

x+4 =0   x+2 =0

x=-4  x=-2

x = -4,-2

Answer:

[tex] \sf \: x = - 2 \: \: or \: \: - 4[/tex]

Step-by-step explanation:

[tex] \sf {x}^{2} + 6x + 8 = 0[/tex]

Factorise.

[tex] \sf {x}^{2} + 6x + 8 = 0 \\ \sf {x}^{2} + 4x + 2x + 8 = 0[/tex]

[tex] \sf x(x + 4) + 2(x + 4) = 0 \\ \sf(x + 2)(x + 4) = 0[/tex]

Use the zero product property.

[tex] \sf \: x + 2 = 0 \\ \sf \: x = 0 - 2 \\ \sf x = - 2[/tex]

Or

[tex] \sf \: x +4 = 0 \\ \sf \: x = 0 - 4 \\ \sf \: x = - 4[/tex]

Therefore,

[tex] \sf \: x = - 2 \: or \: \: - 4[/tex]

The equation of the line passing through the given coordinate with the given slope is; y = 2x + 11

The formula for equation of line in point slope form is;

(y - y1) = m(x - x1)

We are given the slope is 2

Now, if the line passes through the coordinate (-4, 3), then the equation of the line is;

(y - 3) = 2(x - (-4))

y - 3 = 2x + 8

y = 2x + 11

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let's recall that an angle bisector, bisects = cuts into two equal halves.

Check the picture below.

Step-by-step explanation:

1)x=10/2=5

x=5

2)x=27/3=9

x=9

The expression √3 + 5  cannot be simplified and the expression √2x/3y  cannot be simplified

Expression 1

The expression is given as

√3 + 5

The above expression is a combination of a radical expression and an integer

The radical expression √3 cannot be simplified

This means that the expression √3 + 5 cannot be simplified

Hence, the expression √3 + 5  cannot be simplified

Expression 2

The expression is given as

√2x/3y

The above expression is a combination of radical expressions

However, the radical expressions do not have a common factor

This means that the expression √2x/3y cannot be simplified

Hence, the expression √2x/3y  cannot be simplified

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Complete question

can √3 + 5 be simplified if yes show your work if not explain why

can √2x/3y be simplified if yes show your work if not explain why

The equivalent expression is z raised to the fourteenth power over y raised to the fourteenth power. Option D

Algebraic expressions are defined as expressions composed of variables, terms, constants, coefficients and factors.

They are also made up of arithmetic operations like;

Note that equivalent expressions are expression with the same solution but different arrangement of values.

From the information given, we have that;

Substitute into the expression;

{y^-2 × z³/z^-4 × y^5 }^-2

Following the law of indices, we have

{y^-2 -5 z^3-(-4) }^-2

{y^-7 z^7}^-2

y^-14 z^14

z^14/y^14

Thus, the equivalent expression is z raised to the fourteenth power over y raised to the fourteenth power. Option D

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The Cost of the juice per gallon is the $9.

According to the statement, We have to find that the cost of the juice.

So, For this purpose, we know that the

A cost function may be a mathematical formula wont to used to chart how production expenses will change at different output levels.

From the given information:

The price of eight 4.23 ounce juice boxes is $2.39. we should always know that: 1 Gallon = 128 Ounces and 1 juice boxes = 4.23 ounce

So, juice boxes per gallon = 128/4.23 = 30.26

But the worth of 8 juice boxes is $2.39

The value of 1 gallon = (30.26/8) * 2.39 = 9.04

Then,

the price per gallon of the juice = $9

So, The Cost of the juice per gallon is the $9.

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Answer:

b

Step-by-step explanation:

the 2 legs of the triangle are congruent, thus the triangle is isosceles with the 2 base angles congruent , then

3x = 60 ( divide both sides by 3 )

x = 20

Answer: b

Step-by-step explanation: the 2 legs of the triangle are congruent, thus the triangle is isosceles with the 2 base angles congruent , then

3x = 60 ( divide both sides by 3 )

x = 20

well, for the piece-wise function, we'd like to know f(-2), or namely what is f(x) when x = -2?

well, f(x) is 2 for x = -1

f(x) is 4 for x > -1

keeping in mind that in the negative side of the number line, the closer to 0, the larger, thus -1 is much larger than -1,000, so  hmmm -2 is farther from 0 than -1 is, so -1 is larger than -2, so when x = -2, x < -1, and the function that applies when x < -1 is -(x+1)² + 4, so then

[tex]f(x)= \begin{cases} -(x+1)^2 + 4&\stackrel{-2}{x} < -1\\\\ 2&x=-1\\\\ 4&x > -1 \end{cases} \\\\\\ f(-2)\implies -(~~(-2)+1~~)^2 + 4\implies -(-1)^2+4\implies -(-1)(-1)+4 \\\\\\ -(1)+4\implies -1+4\implies \text{\LARGE 3}[/tex]

Answer: f(-2)=3

Step-by-step explanation:

[tex]f(x)=\left\{\begin{array}{ccc}-(x+1)^2+4\ for\ x < -1\\2\ \ \ \ for\ \ x=-1\\4\ \ \ for \ \ \ x > -1\end{array}\right[/tex]

[tex]-2\in(-\infty,-1)\\Hence,[/tex]

[tex]f(-2)=-(-2+1)^2+4\\f(-2)=-(-1)^2+4\\f(-2)=-1+4\\f(-2)=3[/tex]

Jerry spend $240 on clothes for school and jerry received $60

Jerry needs clothes for school

He buys 2 pair of jeans for $17. each =2*17=34

He buys a pair of shoes for $125.00.

He also needs a pack of socks. They are $12.

he also needs 3 shirts, They are on sale for $23 each = 3*23=69

then we have to find how much does he spend?

If he gives the cashier  $300 bills, how much change receive?

now the Total amount jerry spent on clothes is

34+125+12+69 = 240dollar

Hence Jerry pay $240 to the cashier but jerry pay $300 to the cashier so jerry received $300- $240 = $ 60

therefore Jerry spend $240 on clothes for school

and jerry received $60

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Answer:

  12 5/6 inches

Step-by-step explanation:

You want to find the value of L when S=12 1/2, using the formula S = 3L -26.

You can substitute for S in the formula before or after you solve for L. Here, we'll solve for L first:

  S +26 = 3L . . . . add 26 to both sides

  (S +26)/3 = L . . . . divide both sides by 3

Substituting 12 1/2 for S, this becomes ...

  L = (12 1/2 +26)/3 = (38 1/2)/3 = (77/2)/3 = 77/6 = 12 5/6

A man's foot is 12 5/6 inches long if he wears a size 12 1/2 shoe.

Answer:

the length of his foot in inches is 12

Answer:

2400+56=2456 OR

2500-44=2456

Answer:

Step-by-step explanation:

614x4=2,456

a. If every student who attends shares the facility cost equally, the function model will be 1200/N

domain : 1 ≤ N ≤ (312 - additional adult chaperones)           N ∈ Z

1200/N ≤ 7.50

1200 / 7.50 ≤ N

N ≥ 1200/7.5

N ≥ 160

More than 160 students must attend to make the cost per student no more than $ 7.50

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awaer

click here

Step-by-step explanation:

the negations of the hypothesis and conclusion for the given conditional statement are:

not P = "The sum of the interior angle measures of a polygon is not 180°"

not Q = "The polygon is not a triangle"

For two defined propositions P and Q, we define a conditional statement as a sentence of the form:

If P, then Q.

Particularly in this case, P is called the hypothesis and Q is called the conclusion of the conditional statement.

For the given one:

"If the sum of the interior angle measures of a polygon is 180, then the polygon is a triangle."

We will have that the hypothesis is:

The sum of the interior angle measures of a polygon is 180°

The conclusion will be:

The poñyogn is a triangle.

Now we want to negate these two, it is really simple, for the hypothesis we will have that the sum of the interior angles can be any number but 180°, then we can write the negation as:

"The sum of the interior angle measures of a polygon is not 180°

Similar for the conclusion, we just need to state that the polygon is not a triangle, we will get:

"The polygon is not a triangle"

Then the negations of the hypothesis and conclusion for the given conditional statement are:

not P = "The sum of the interior angle measures of a polygon is not 180°"

not Q = "The polygon is not a triangle"

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