A cement mixture calls for 3 pounds of cement for 3 gallons of water. What is the ratio of water to cement? Enter only the missing number.

Answer:

0 ≤ y ≤ 8

Step-by-step explanation:

DOMAIN is x values of a function/graph

RANGE is the y-values that a function can have .....

     this one goes from 0 to 8 inclusive

The value of the expression; 6 × 10 + 4³ as given in the task content is; 124.

It follows from the task content that the value of the expression given in the task content; 6 × 10 + 4³ is to be determined.

Hence, the value of the expression can be evaluated using PEMDAS guidelines as follows;

Since the given expression is;

6 × 10 + 4³

Since the exponent, so that we have;

6 × 10 + 64

Next, solve the multiplication, so that we have;

60 + 64

= 124.

On this note, the value of the expression is; 124.

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The conditions in which is it not appropriate to assume that the sampling distribution of the sample mean is approximately normal : (C) A random sample of 10 taken from a population distribution that is skewed to the right.

In statistics, the normal or Gaussian distribution is a continuous probability distribution for real-valued random variables.

The normal distribution is important in statistics and is often used in the natural and social sciences to represent real-valued random variables whose distribution is unknown. Their importance is partly due to the central limit theorem. It states that in some cases the average of many samples (observations) of a random variable with finite mean and variance is itself a random variable - whose distribution converges to a normal distribution as the size of the l sample increases.

Now,

If we look at the options given below, we see that the random samples in options A and B are normally distributed, so their sample means will be approximately normally distributed.

Similarly, option E indicates that the population is uniform, so the sample mean will also be approximately normal.

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A way to estimate the number 0.000007328 is to write it in its standard form as 7 x 10⁻⁶.

The standard form of a number is when an ordinary number is converted to scientific notation.

Large or small numbers are expressed in scientific notation to make them easier to read or work with.

An ordinary number can only be written in the standard form between 1 and 10 so that it can be shown as less than 1 but not more than 9.  It is multiplied by a power of 10, either positive or negative, depending on the decimal place value.

A number starting with 0 before the decimal place is written in the power of negative 10.

0.000007328 in standard form is:

= 7.328 x 10⁻⁶

= 7 x 10⁻⁶

Thus, rounded to the nearest millionth, the number 0.000007328 is about​ 7 x 10⁻⁶ in standard form.

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Use a single digit times a power of 10 to estimate the number 0.000007328. Rounded to the nearest millionth, the number is about​

to use elimination method need the same variable with the same number

i will multiply the first equation by 7 and then sum with the secont equation to eliminate y

now we do the sum

we can solve x from that equation

now we can use x=7 to replace on any equation and solve y (I will use the first equation)

the ordered pair of the solution is (7,1)

Answer:

75

Step-by-step explanation:

Answer:

Step-by-step explanation:

The equation of the line with the given points is y = 6x - 4. This can be derived by calculating the slope of the line, which is 6, and then using the point-slope form of the equation of a line, y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line. In this case, the given points are (x1, y1) = (1, 10), so the equation of the line is y - 10 = 6(x - 1) or y = 6x - 4.

Answer y == 3

+7

Step-by-step explanation:

The graph of a linear relationship contains the points (1, 10) and (3, 16).

Write the equation of the line in slope-intercept fo

Step-by-step explanation:

the general slope-intercept form is

y = ax + b

a is the slope, which is the ratio of "y coordinate change / x coordinate change" when going from one point to another on the line.

b is the y-intercept - the y value when x = 0.

for the slope we see

x changes by +2 (from 1 to 3)

y changes by +6 (from 10 to 16)

so, the slope a is +6/+2 = 3

and the semi-ready equation is

y = 3x + b.

now we use one of the points in the equation to solve for b. I picked (1, 10) :

10 = 3×1 + b = 3 + b

b = 7

so, the full equation is

y = 3x + 7

At the relative extremum

What is a relative extremum?

A relative extremum is a relative minimum or maximum of a function.

Since the function F(x) = 2ax² + bx + 3 has a relative extremum at the point (-1,2). This implies that dF(x)/dx = 0 at the extremum.

So, F(x) = 2ax² + bx + 3

dF(x)/dx = d(2ax² + bx + 3)/dx

= d2ax²/dx + dbx/dx + d3/dx

= 4ax + b

dF(x)/dx = 0

⇒ 4ax + b = 0

⇒b = -4ax at x = -1

b = -4a(-1)

= 4a

Since the function F(x) = 2ax² + bx + 3 has a relative extremum at the point (-1,2), we have that

F(-1) = 2a(-1)² + b(-1) + 3

= 2a - b + 3

F(-1) = 2

⇒2a - b + 3 = 2

⇒2a - b = 2 - 3

2a - b = -1

Now, b = 4a

So,  substituting b into the equation, we have that

2a - b = -1

2a - 4a = -1

-2a = -1

a = -1/-2

a = 1/2

So, b = 4a

= 4(1/2)

= 2

So,

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Answer:

630 and 90 respectively

Step-by-step explanation:

Let the speed of wind be x and the plane speed be y

ATQ, (y+x)*3=2160 and (y-x)*4=2160. Solving it, we will get x=90 and y=630

The speed of the plane in still air is 630 miles per hour and the speed of the wind is 90 miles per hour.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

An airplane takes 3 hours to travel a distance of 2160 miles with the wind. The return trip takes 4 hours against the wind.

Let 'x' be the speed of the plane and 'y' be the speed of the wind. Then the equations are given as,

x + y = (2160 / 3)

x + y = 720                  ...1

x - y = (2160 / 4)

x - y = 540                  ...2

Add equations 1 and 2, then we have

2x = 720 + 540

x = 1260 / 2

x = 630 miles per hour

Then the value of 'y' is calculated as,

630 + y = 720

y = 90 miles per hour

The speed of the plane in still air is 630 miles per hour and the speed of the wind is 90 miles per hour.

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The total amounts of money which Mrs. Reynolds now has according to the descriptions in the task content is; $68.

It follows from the task content that;

On this note;

Hence, it follows that the amount of money, s she has now is;

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Answer:

Given that,

In 1980, James planted a tree that was 1 foot tall.

In 1996, that same tree was 71 feet tall.

James finds that the height of the tree can be modeled by H(t),

where H (t) is the height of the tree in feet, t is the number of years since 1980.

To find the value of k.

Explanation:

Since it is given that, In 1980, James planted a tree that was 1 foot tall.

when t=0, we get the height of the tree as,

Therefore, t is the number of years since 1980.

we have that, In 1996, that same tree was 71 feet tall.

t=1996-1980

t=16

and H(t)=71.

Substitute these values in the given equation we get,

The value of k is 306.25

Answer is: 306.25

We cannot conclude that there are more than 70,000 defined words in the dictionary.

To test the claim that there are more than 70,000 defined words in the dictionary, we can set up the null and alternative hypotheses as follows:

Null Hypothesis (H0): The mean number of defined words on a page is 48.0 or less.

Alternative Hypothesis (H1): The mean number of defined words on a page is greater than 48.0.

So, sample mean

= (59 + 37 + 56 + 67 + 43 + 49 + 46 + 37 + 41 + 85) / 10

= 510 / 10

= 51.0

and, the sample standard deviation (s)

= √[((59 - 51)² + (37 - 51)² + ... + (85 - 51)²) / (10 - 1)]

≈ 16.23

Next, we calculate the test statistic using the formula:

test statistic = (x - μ) / (s / √n)

In this case, μ = 48.0, s ≈ 16.23, and n = 10.

test statistic = (51.0 - 48.0) / (16.23 / √10) ≈ 1.34

With a significance level of 0.05 and 9 degrees of freedom (n - 1 = 10 - 1 = 9), the critical value is 1.833.

Since the test statistic (1.34) is not greater than the critical value (1.833), we do not have enough evidence to reject the null hypothesis.

Therefore, based on the given data, we cannot conclude that there are more than 70,000 defined words in the dictionary.

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Step-by-step explanation:

convert kg into grams

1kg=1000g

1.5kg/350g=1.5×1000g/350

1500/350=300/70

=30/7

ratio will be 30:7

answer is 4.2g

The answer to the ratio is:

4.2g

First of all, we need to convert the kg to g

This can be done by multiplying the Kg by 1000

1.5kg x 1000= 1500g

Next, we solve the ratio since they are in the same parameters

This would be 1500g:350g

1500/350= 30/7.

Therefore, the ratio would be 30:7

Finally when further broken down, it would be 4.2g

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Answer:

No it is D.52

Step-by-step explanation:

The angle has to equal 180 degrees.

180-76=104

52 time 2 equals 104

104=104

Answer:

\(\boxed {\tt D. \ x=52}\)

Step-by-step explanation:

The 2 angles are 2x and 76. They are on a straight line together. Therefore they are supplementary and add to 180 degrees.

\(2x+76=180\)

Solve for x by isolating x on one side of the equation.

76 is added to 2x. The inverse of addition is subtraction. Subtract 76 from both sides of the equation.

\(2x+76-76=180-76\\2x=180-76\\2x=104\)

x is multiplied by 2. The inverse of multiplication is division. Divide both sides of the equation by 2.

\(2x/2=104/2\\x=104/2\\x=52\)

x is equal to 52 and D is the correct answer.

The total cost of the new outfits for all the members is $264. So, the correct answer is option A.

A total is a whole or complete amount, and "to total" is to add numbers or to destroy something. In math, you total numbers by adding them: the result is the total.

Given that, the shirts are $21, the pants are $26, the hats are $6 and the canes are $13.

Here, the cost of outfits for a person is

(21+26+6+13)=66

The cost of outfits for the four members is

66×4=$264

Therefore, option A is the correct answer.

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The statement about probability that is correct would be that the probability of landing on yellow is less than the probability of landing on blue. That is option B.

Probability is defined as the total number of possible outcome of an event.

The repeated colour which are numbered from 1 to 8 are as follows:

Therefore, the probability of landing on yellow is less than the probability of landing on blue because 1/4 is less than 3/8.

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Answer: B: The probability of landing on yellow is less than the probability of landing on blue.

Step-by-step explanation:

The quotient is 3x + 7, and the remainder is (28x + 9) / (x^2 - 3x).

A division is a process of splitting a specific amount into equal parts.

We have to find 3x³-2x²+7x+9 divided by x²-3x

3x³-2x²+7x+9 is the dividend and x²-3x is the divisor.

The steps to solve this are given below.

Step 1: Take the first digit of the dividend from the left. Check if this digit is greater than or equal to the divisor.

Step 2: Then divide it by the divisor and write the answer on top as the quotient.

Step 3: Subtract the result from the digit and write the difference below.

Step 4: Bring down the next digit of the dividend (if present).

Step 5: Repeat the same process.

Hence, the quotient is 3x + 7, and the remainder is (28x + 9) / (x^2 - 3x).

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The given Mayan number which is: :|| :|| in decimal (base 10) is 42.

The Mayan number system is a base-20 system that uses three symbols: a dot (.), a horizontal bar (|), and a shell-like symbol (:). The symbol for zero is a shell-like symbol (:).

In order to obtain the decimal equivalent (base 10) of a Mayan numeral, it is imperative to comprehend the positional significance of each constituent symbol.

The numerical system employed here assigns a weight to each digit that corresponds to a certain power of 20. Specifically, the weight associated with the least significant digit is 20 raised to the exponent of 0, while the weight of the digit to its immediate left is 20 raised to the exponent of 1, and so forth.

The Mayan number given, : :|| :||, can be broken down as follows:

The leftmost position has no symbol, which represents a value of 0.

The second position from the left has two shell-like symbols (:), which represent a value of 2x20¹ = 40.

The third position from the left has two horizontal bars (||), which represent a value of 2x20⁰ = 2.

The given Mayan number in decimal (base 10) is 40 + 2 = 42.

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Answer:

y= -3x+1

Step-by-step explanation:

x1= -2 x2=2 y1=7 y2=-5

using the formula

(y-y1)/(x-x1)=(y2-y1)/(x2-x1)

(y-7)/(x-(-2))=(-5-7)/(2-(-2))

(y-7)/(x+2)=(-5-7)/(2+2)

(y-7)/(x+2)=(-12)/4

(y-7)/(x+2)=-3

cross multiply

y-7=-3(x+2)

y-7=-3x-6

y=-3x-6+7

y=-3x+1

1. Relation 1 is a function

2. Relation 2 is a function

3. Relation 3 is not a function

4. Relation 4 is a function

From the question, we have the following parameters that can be used in our computation:

The relations (1) to (4)

Relation (1)

This relation is a function

This is because each range value point to unique domain values

Relation (2)

This relation is a function

This is because each range value point to unique domain values

Relation (3)

This relation is not a function

This is because domain values w have different range values.

Relation (4)

This relation is a function

This is because each range value point to unique domain values

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Using simultaneous equation, the solution to the system of linear equations are 1223 $10 tickets, 1332 $20 tickets, and 763 $30 tickets were sold.

Let's solve the problem step by step.

Let:

x = number of $10 tickets sold

y = number of $20 tickets sold

z = number of $30 tickets sold

From the given information, we can form the following equations:

Equation 1: x + y + z = 3318 (Total number of tickets sold)

Equation 2: y = x + 109 (109 more $20 tickets than $10 tickets were sold)

Equation 3: 10x + 20y + 30z = 61760 (Total sales from ticket sales)

We can use these three equations to solve for the values of x, y, and z.

First, let's substitute Equation 2 into Equation 1:

x + (x + 109) + z = 3318

2x + 109 + z = 3318

2x + z = 3209 (Equation 4)

Now, let's substitute the value of y from Equation 2 into Equation 3:

10x + 20(x + 109) + 30z = 61760

10x + 20x + 2180 + 30z = 61760

30x + 30z = 59580

x + z = 1986 (Equation 5)

We now have a system of equations (Equations 4 and 5) with two variables (x and z). We can solve this system to find the values of x and z.

Multiplying Equation 4 by 30, and Equation 5 by 2, we get:

60x + 30z = 96270 (Equation 6)

2x + 2z = 3972 (Equation 7)

Now, subtract Equation 7 from Equation 6:

(60x + 30z) - (2x + 2z) = 96270 - 3972

58x + 28z = 92298

Simplifying, we have:

29x + 14z = 46149 (Equation 8)

Now, we can solve Equations 5 and 8 simultaneously:

x + z = 1986 (Equation 5)

29x + 14z = 46149 (Equation 8)

Multiplying Equation 5 by 14, and Equation 8 by 1, we get:

14x + 14z = 27804 (Equation 9)

29x + 14z = 46149 (Equation 8)

Now, subtract Equation 9 from Equation 8:

(29x + 14z) - (14x + 14z) = 46149 - 27804

15x = 18345

Divide both sides of the equation by 15:

x = 18345 / 15

x = 1223

Substituting the value of x into Equation 5, we can find z:

1223 + z = 1986

z = 1986 - 1223

z = 763

Now that we have the values of x and z, we can substitute them back into Equation 1 to find y:

1223 + y + 763 = 3318

y + 1986 = 3318

y = 3318 - 1986

y = 1332

Therefore, the solution to the problem is:

x = 1223 (number of $10 tickets sold)

y = 1332 (number of $20 tickets sold)

z = 763 (number of $30 tickets sold)

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Answer:

after 2 seconds

0=40-10t-5t^2

t^2+2t-8=0

(t+4)(t-2)=0

t=-4 or t=2

I think this is correct

The measure of each inscribed angle at T and S is 72.5 degrees, and the sum of their measures is: 145 degrees

What is inscribed angle ?

An inscribed angle is an angle formed by two chords of a circle that have a common endpoint on the circle. The vertex of the inscribed angle is on the circle, and the sides of the angle intersect the circle at two distinct points.

There are some important properties of inscribed angles:

According to the question:
If the inscribed angles of T and S intercept the same arc, then they must be equal in measure. Let's call the measure of each angle x.

Since the sum of the measures of the angles in a triangle is 180 degrees, we can set up an equation to find the measure of the third angle in triangle TSY:

x + x + measure of angle YTS = 180 degrees

Simplifying the equation, we get:

2x + measure of angle YTS = 180 degrees

But we know that the measure of angle YTS is equal to half the measure of arc YZ, since it is an inscribed angle intercepting the same arc. So:

measure of angle YTS = 1/2 * measure of arc YZ = 1/2 * 70 degrees = 35 degrees

Substituting this value into our equation, we get:

2x + 35 degrees = 180 degrees

Solving for x, we get:

2x = 145 degrees

x = 72.5 degrees

Therefore, the measure of each inscribed angle at T and S is 72.5 degrees, and the sum of their measures is:

72.5 degrees + 72.5 degrees = 145 degrees

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Answer:

There is no specific method you can solve it as you like

Step-by-step explanation:

you can do it as a normal equation first get rid of the (x-9) by multiplying the whole radical by x-9/x-9, then you will get rid of the x-9 down and you will have (x-9) . (x+6) . (x-1) \(\leq\) 0 then multiply them together and solve it normally. Also dont forget to do the check part :)

If you need further help comment down :)

Answer:

I would say solve for the x value

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

We know that grasslands don't thrive in the cold, so we'll cross out the Arctic Circle.

Mid latitudes are 60 degrees, so it would be cold there too.

Tropical latitudes would be pretty hot.

So my guess is near the equator.

Answer:

x = 65.26 degrees or x = 245.26 degrees.

Step-by-step explanation:

To solve the equation 4tan(x)-7=0 for 0<=x<360, we can first isolate the tangent term by adding 7 to both sides:

4tan(x) = 7

Then, we can divide both sides by 4 to get:

tan(x) = 7/4

Now, we need to find the values of x that satisfy this equation. We can use the inverse tangent function (also known as arctan or tan^-1) to do this. Taking the inverse tangent of both sides, we get:

x = tan^-1(7/4)

Using a calculator or a table of trigonometric values, we can find the value of arctan(7/4) to be approximately 65.26 degrees (remember to use the appropriate units, either degrees or radians).

However, we need to be careful here, because the tangent function has a period of 180 degrees (or pi radians), which means that it repeats every 180 degrees. Therefore, there are actually two solutions to this equation in the given domain of 0<=x<360: one in the first quadrant (0 to 90 degrees) and one in the third quadrant (180 to 270 degrees).

To find the solution in the first quadrant, we can simply use the value we just calculated:

x = 65.26 degrees (rounded to two decimal places)

To find the solution in the third quadrant, we can add 180 degrees to the first quadrant solution:

x = 65.26 + 180 = 245.26 degrees (rounded to two decimal places)

So the solutions to the equation 4tan(x)-7=0 for 0<=x<360 are:

x = 65.26 degrees or x = 245.26 degrees.

Amon the choices given, letter D is equivalent to - 3x - 15.

-3 ( x + 5 )

if we distribute -3 , we will have

-3 (x ) = -3x , and

-3 ( +5) = -15

-3 ( x + 5) = -3x - 15

Answer: D. -3 (X + 5)