Determine the values of x in the equation x2 = 81.

A. x = −9
B. x = ±9
C. x = ±40.5
D. x = 40.5

The park is 98 yards long, not counting the path.

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Answer:

21 cups oil

14 cups soy sauce

7 cups orange juice

Step-by-step explanation:

Use 1 cup for 1 part. The original recipe as given with its small amounts would make a total of 3 + 2 + 1 = 6 parts, or 6 cups of sauce.

You want to make 42 cups.

42/6 = 7

The amount you want to make is 7 times the amounts in the ratio.

3 parts oil: 3 × 7 = 21: 21 cups oil

2 parts soy sauce: 2 × 7 = 14: 14 cups soy sauce

1 part orange juice: 1 × 7 = 7: 7 cups orange juice

Check: 21 + 14 + 7 = 42

The amounts above do make 42 cups in total.

Answer:

21 cups oil

14 cups soy sauce

7 cups orange juice

Answer:

1.) 88 cones were sold

2.) $17.00 per gal of paint; $5.50 per brush

Step-by-step explanation:

1.) ($1.10(88)= $96.80) + ($2.35(84)= $197.40)= $294.20

2.) I have a really complicated process, and it's really late at night where I am

Answer:

For the first question, 88 cones were sold

For the second question, a gallon of paint costs 17 dollars and a brush costs 5.5 dollars (that is, 5 dollars and 50 cents).

Step-by-step explanation:

For the first question,

Let the number of ice cream cones be represented by the letter 'x'

And the number of sundaes be represented by the letter 'y'

[tex](1.10x + 2.35y) = 294.20 \: \: \: equ.2 \\ (x + y) = 172 \: \: \: equ.1[/tex]

Solving it simultaneously, subtract equ. 2 from equ. 1

[tex]0.10x - 1.35y = 122.20[/tex]

Making x the subject,

[tex]x = \frac{122.20 + 1.35y}{0.10} [/tex]

Substitute the value of x above in equ. 1

[tex] \frac{122.20 + 1.35y}{0.10} + y = 172[/tex]

L. C. M = 0.10

Multiply through by the L. C. M

[tex]122.20 + 1.35y + 0.10y = 17.2[/tex]

Collect like terms

122.20 - 17.2 = - 1.35y - 0.10y

105 = - 1.25y

[tex]y = \frac{105}{1.25} = 84[/tex]

Substituting the value of y in equ. 1

[tex]x + 84 = 172 \\ x = 172 - 84 \\ x = 88[/tex]

Therefore, 84 sundaes were sold and 88 ice-cream cones were sold.

For the second question, let paint represent 'p' and brush represent 'b'

[tex]8p + 3b = 152.5 \: \: \: equ2 \\ 6p + 2b = 113 \: \: \: equ1[/tex]

Solving simultaneously,

Subtract equ2 from equ 1

[tex]2p + b = 39.5 \\ b = 39.5 - 2p[/tex]

Substituting the value of b in equ1

[tex]6p + 2(39.5 - 2p) = 113 \\ 6p + 79 - 4p = 113[/tex]

Collect like terms

[tex]2p = 113 - 79 \\ 2p = 34 \\ p = 17[/tex]

Substituting the value of p in equ1

[tex]6(17) + 2b = 113 \\ 102 + 2b = 113[/tex]

Collect like terms

[tex]2b = 113 - 102 \\ 2b = 11 \\ b = 11 \div 2 \\ b = 5.5[/tex]

Therefore, a gallon of paint costs 17 dollars and a brush costs 5.5 dollars (i.e 5 dollars, 50 cents)

Answer:

x = 50° , y = 40°

Step-by-step explanation:

x and 40° form a right angle and sum to 90° , that is

x + 40° = 90° ( subtract 40° from both sides )

x = 50°

x and y form a right angle and sum to 90° , then

x + y = 90°

50° + y = 90° ( subtract 50° from both sides )

y = 40°

Answer:

[tex]15^{12}[/tex]

Step-by-step explanation:

assuming you mean

[tex](15^3)^{4}[/tex]

using the rule of exponents

[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex] , then

[tex](15^3)^{4}[/tex]

= [tex]15^{3(4)}[/tex]

= [tex]15^{12}[/tex]

The probability of the random item chosen that it is less than 16.4 inches long is 2.7%

Probability means ?

The likelihood of an event happening is calculated using the probability formula. To review, probability is the probability that an event will occur. What is the likelihood that a specific event will occur when a random experiment is considered? is one of the first queries that pops into our heads. A prediction's chance is expressed as a probability. If we suppose that, for example, x represents the probability that an event will occur, then (1-x) is the probability that the event will not occur.

Variance of sample mean =1.3^2/1= 1.69

S D of sample mean =1.69^(1/2)= 1.3

Z score for length of 16.4 is( 16.4-15.4)/1.3= 0.7692307

The p value for -1.67 in standard normal table is 0.04746

The required probability =0.02764

Only 2.7% of the time will the sample mean be shorter than 16.4 inches.

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Based on the median and the centroid theorem, the length of WI is 6 units.

The line that joins the vertex of a triangle to the midpoint of the side it is directly opposite is called the median of a triangle.

According to the centroid theorem, since J is the centroid of triangle XYW, then:

the length of IE is 1/3 of the length of segment EW.

Thus, the equation that relates the length of the segments is;

IE = 1/3(EW)

Given that:

IE = 3 units

Now Substitute the value of IE into the equation:

3 = 1/3(EW)

3(3) = EW

9 = EW

EW = 9 units

Therefore:

The Length of WI = the length of EW - the length of IE

Substitute;

Length of WI = 9 - 3

Length of WI = 6 units.

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The output value of g( 3b ) in the function g( x ) = x² - x is 9b² - 3b.

A function is simply a relationship that maps one input to one output, that is, each x-value can only have one y-value.

Given the data in the question;

To determine the output value of g( 3b ), replace all the occurrence of x with 3b in the function and simplify.

g( x ) = x² - x

g( 3b ) = (3b)² - 3b

Apply product rule

g( 3b ) = 3²b² - 3b

Raise 3 to the power of 2

g( 3b ) = 9b² - 3b

Therefore, the output value of g( 3b ) is 9b² - 3b.

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The correct decision and summary based on the excel output below is  Standard Error =5.389361. and P-value=0.5364.

Two sample T summary hypothesis test:

[tex]u_{1[/tex] : Mean of Population 1

[tex]u_{2}[/tex] : Mean of Population 2

[tex]u_{1} -u_{2}[/tex] : Difference between two means

[tex]H_{0}[/tex] : [tex]u_{1} -u_{2}[/tex] = 0

[tex]H_{a}[/tex] : [tex]u_{1} -u_{2}[/tex]

 0

(without pooled variances)

Hypothesis test results:

Difference = u1-u2

Sample Diff=3.34725

Standard Error =5.389361.

DF=77.988073

T-Stat=0.62108476

P-value=0.5364

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residual = 3.48

The line of best fit underpredicts the temperature change.

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

Explanation:

If s = 1.3, then ŷ is...

ŷ = -2.6s + 1.1

ŷ = -2.6*1.3 + 1.1

ŷ = -2.28

This is the estimated or predicted y value based on the input s = 1.3

Let's now compute the residual

e = residual error

e = (observed y value) - (predicted y value)

e = y - ŷ

e = 1.2 - (-2.28)

e = 1.2 + 2.28

e = 3.48 is the residual

A positive residual means that the predicted y value, aka ŷ, is an underestimate compared to the true observed value. In other words, the observed y value is higher than the ŷ value. Therefore, the line of best fit under-predicts the temperature change.

Given the following question:

Rule one: + 3

Rude two: + 9

3, 6, 9, 12, 15

3 + 3 = 6 + 3 = 9

9 + 3 = 12 + 3 = 15

= 15

9, 18, 27, 36, 45

9 + 9 = 18 + 9 = 27

27 + 9 = 36 + 9 = 45

= 45

We are now given..

3, 6, 9, 12, 15

9, 18, 27, 36, 45

They are related because these terms also have a rule, if you mutlply 3, by 3 we get 9, if we multiply 6 by 3 we get 18. The second sequence is three times the corresponding term in the first sequence or the first option.

Your answer is the first option.

Answer:

g(x)=22

Step-by-step explanation:

Substitute -4 into the equation.

g(x)= -5x+2

g(-4)= -5(-4)+2

g(-4)= 20+2

g(-4)= 22

The probability that a truck drives at least 125125 miles in a day is 0.6839.

Given

trucks in a delivery fleet travel a mean of 110110 miles per day

standard deviation of 2626 miles per day

To find

find the probability that a truck drives at least 125125 miles in a day

Solution :

μ  = 110

σ  =  26

P (  63 < x < 125   )

=  P [ ( 63 - 110 )  / 26  < ( x  -  μ )  / σ <  ( 125 - 110 )  / 26  ]

=  P ( - 1.81 < z < 0.58 )

=  P (  z <  0.58 )  -  P (  z < -1.81)

using  standard normal table

=  0.7190 -  0.0351

=  0.6839

Probability  =  0.6839 .

Hence the probability that a truck drives at least 125125 miles in a day is 0.6839

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The equivalent expression for the given expression is 0.4υ - 3ω - 9.

The given expression is 0.4υ - (3ω + 9).

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.

The equivalent expression for the given expression can be written as follows:

0.4υ - (3ω + 9)=0.4υ - 3ω - 9

Therefore, the equivalent expression for the given expression is 0.4υ - 3ω - 9.

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Answer:

u shall simply divide 98290 by 365 bc there are 365 days in 1 year

Step-by-step explanation:

98280 divided by 365 and that makes..

Answer:

7.29

Step-by-step explanation:

the equation of proportionality is

y = kx ← k is the constant of proportionality

y = 7.29x ← is in this form with k = 7.29

Answer:

65

Step-by-step explanation:

took the test and passed. I love helping others and so I hope this helps

Answer:

310000000

That’s the answer

Based on the ratios given of 0.3 : 4 = 9 : y, the value of y can be found to be 120

From the given ratios of 0.3 : 4 = 9 : y, we can infer that these are equivalent ratios.

This means that y is to 9, what 4 is to 0.3.

The value of y can therefore be found by direct proportion:

0.3 : 4

9 : y

Cross multiplying gives:

0.3 y = 36

y = 36 / 0.3

y = 120

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Answer:

(0, -5)

Explanation:

The function is represented by f(x), and the line graphed would be y= f(x). In slope-intercept form, the equation of a line is given by y= mx +c, where m is the slope and c is the y-intercept.

Since we know that the line is linear, any two points along the line would give us the same slope value. Since y-intercepts occur at x= 0, let the y-intercept be (0, y).

[tex]\boxed{ \text{slope} = \frac{y _{1} - y_2 }{x_1 - x_2} }[/tex]

Slope between (-3, 1) and (1, -7)= slope between (-3, 1) and (0, y)

[tex] \frac{1 - ( -7 )}{ - 3 - 1} = \frac{y - 1}{0 - ( - 3)} [/tex]

[tex] \frac{1 + 7}{ - 4} = \frac{y - 1}{0 + 3} [/tex]

[tex] \frac{8}{ - 4} = \frac{y - 1}{3} [/tex]

[tex] - 2 = \frac{y - 1}{3} [/tex]

Multiply both sides by 3:

-2(3)= y- 1

-6= y -1

Add 1 to both sides:

y= -6 +1

y= -5

Thus, the y-intercept is (0, -5).

__________

Based on the image, however, we are to find the equation of the linear function in slope-intercept form.

The first step would be to find the slope between any two points, which would be -2. This is found using the slope formula, and we have calculated it above.

Substitute the value of the slope into y= mx +c:

y= -2x +c

The y-intercept can be found by substituting a pair of coordinates the line passes through.

When x= -3, y= 1,

1= -2(-3) +c

1= 6 +c

c= 1 -6

c= 5

Thus, the equation of the line is y= -2x +5.

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Answer:

y = - 2x - 5

The intercept is 5 because that is where the graph cuts the y axis.

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Step-by-step explanation:

y = mx + c;

The m equals the change in y divided by the change in x. If you choose left to right for y then you must do the same for x as well.

Δy = ( - 7 ) - ( - 15 ); Δx = 1 - 5;

Δy = - 7 + 15;

Δy = 8;

Δx = - 4;

m = 8 / - 4;

m = - 2;

y = - 2x + c;

Pick a point (x, y) and sub it into the equation. Make sure to use brackets when subbing.

- 7 = - 2( 1 ) + c;

- 7 = - 2 + c;

Add 2 to both sides.

- 7 + 2 = - 2 + 2 + c;

- 5 = c;

c = - 5;

The c is the intercept.

y = - 2x - 5

Two or more expressions with an Equal sign is called as Equation. y=x/3z^2 for equation  x=3yz^2  in terms of x and z

Two or more expressions with an Equal sign is called as Equation.

The given equation is x equal to three y z square.

x=3yz²

We need to solve for y.

We need to separate y from other variables.

Divide both sides by 3z²

x/3z²=y

Hence y=x/3z² for equation  x=3yz²  in terms of x and z

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The measure of central tendency that would be the best for Mrs. Hull to use if she wanted to argue that there is a difference between the plants is the median.

The definition of central tendency is the statistical metric that identifies a single value as representative of a whole distribution. It strives to provide a complete explanation of the data. It is the single most representative number from the obtained data.

A measure of central tendency is a single value that seeks to represent a set of data by identifying the data's central position. The mode measurement is the one with the highest frequency.

When plants are placed in a circle, the median is the measurement of the middle plant provided in descending be order of sizes.

When there are a few extreme scores in the data distribution, the median is the recommended measure of the central tendency.

In conclusion, the correct option is the median.

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The sedan gets 1090 miles per gallon on average, according to the ratio equation.

A ratio is an ordered pair of numbers a and b, denoted by the a / b, where b is not equal to zero.

If there are eight oranges and six lemons in a bowl of fruit, the orange-to-lemon ratio is eight to six.

Given: When the gas tank is 75% full, the mileage is recorded as 15,121.

A sedan tank is typically 18.5 gallons in size. So it holds 13.875 gallons of gas if it is 75% full. If it traveled 15,121 miles, the mileage per gallon is 1090, rounded to the nearest whole number.

The calculation of miles per gallon using the ratio equation:

Let, x = miles per gallon

15121:13.875 is the ratio.

x/1= 15121/13.875

13.875x = 15121

x = 15121/13.875

x = 1089.80, which equates to 1090 miles per gallon

As a result, the ratio equation used to calculate the sedan's miles per gallon averages 1090 miles per gallon.

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By substituting the first equation into the second, we get:

2x + 5*(2x +3) = 3

The correct option is the second one.

Here we have the system of equations:

y = 2x + 3

2x + 5y = 3

You can see that the variable "y" is already isolated in the first equation, so we can just substitute it in the second equation:

2x + 5*(2x +3) = 3

This is what we can see in the second option, so we conclude that the second option is the correct one.

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Answer:

8 times 2y minus 6x is equal to 4 plus 2x

The transformation of rotating 90° around a point not on the line segment would make corresponding line segments between a pre-image and image not be parallel.

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After adding interest the sum would be worth $657.51 .

Interest is the amount paid over and above the original amount to a lender or depositor by a borrower or deposit-taking financial institution at a predetermined rate in the domains of finance and economics (the amount borrowed).

Interest when the principal is $5 , time is 100 years and rate is 5%.

We know that from compound interest:

Amount = principal (1 + rate)ⁿ

Therefore

Amount = 5 (1 +0.05)¹⁰⁰

Amount = $657.5062...

Amount ≈ $657.51

Therefore adding interest the sum would be worth $657.51

Answer:

118 miles

Step-by-step explanation:

Explanation in photo attached

The difference of the given expressions is 5.

The given expressions are -6x+3 and -6x+8.

To subtract an algebraic expression from another, we should change the signs (from '+' to '-' or from '-' to '+') of all the terms of the expression which is to be subtracted and then the two expressions are added.

Now, subtract -6x+3 from -6x+8

-6x+8 - (-6x+3)

= -6x+8+6x-3

= 5

Therefore, the difference of the given expressions is 5.

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Answer:

2

Step-by-step explanation:

The number right after the decimal is the tenths place.

More in-depth example:

1.234

1 is your integer(regular number)

2 is your tenths

3 is hundreths

4 is thousandths