Express as a single fraction

Answer:

[tex]t=14.7[/tex]

Step-by-step explanation:

In the equation: [tex]t-9.25=5.45[/tex] we need to get [tex]t[/tex] by itself. To do that, we need to add [tex]9.25[/tex] from one side to the other. We do this because on the side where [tex]t[/tex] is, [tex]9.25[/tex] is being subtracted and we have to do the opposite of that. So:

[tex]t-9.25=5.45[/tex]

  [tex]+9.25[/tex]     [tex]+9.25[/tex]

In this case, we got [tex]t[/tex] by itself. The new equation is:

[tex]t=14.7[/tex]

The probability of drawing one blue marble on the first draw is 4/10. Since we do not replace the marble, there are only 9 marbles left in the bag, so the probability of drawing a green marble on the second draw is 2/9.

The probability of drawing one blue marble and one green marble is the product of the probabilities of each event:

(4/10) x (2/9) = 8/90 = 4/45

Therefore, the probability of drawing one blue marble and one green marble is 4/45.

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Answer: -8x - 19

Step-by-step explanation:

Distribute: 5-8(x+3) = 5-8x-24

5-8x-24= -19 - 8x

= -8x - 19

Answer:

-8x - 19

Step-by-step explanation:

1. Rearrange terms: 5 - 8 (3 + x)
2. Distribute terms: 5 - 8 ( x + 3) = 5 - 8x - 24

3. Subtract the numbers: 5 - 8x - 24 = -19 - 8x

4. Rearrange terms again: -19 - 8x to -8x - 19

5. Here's your answer! Hope this helped :)

the equation for the line perpendicular will be y = -5x +11.

What is the equation straight line?

The formula for a straight line is generally expressed as Y = mx + c, where m stands for the slope and c for the y-intercept. In geometry, it is the straight-line version of the equation that is most usually utilised. A straight-line's equation can be expressed in a variety of forms, including point-slope form, slope-intercept form, general form, standard form, etc. An infinitely long straight line has two dimensions and is a geometrical object with two ends. The equations for a straight line that are used the most frequently are y = mx + c and axe + by = c. Point-slope, slope-intercept, standard, general, and other forms are more variations.

The given line is y = x/5 +3

the slope is m = 1/5

So the slope of the perpendicular line will be -5

So the equation of line will be y-3 = m1(x-1)+3

y-3 = -5x+5+3

y = -5x +11

Hence the equation for the line will be y = -5x +11.

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The value of x in function cos(3pi/2+2x/3)=1/2 is  x= pi/4 + 3pi*n, 5pi*/4 + 3pi*n.

Trigonometric ratios for a right angled triangle are from the perspective of a particular non-right angle.

In a right angled triangle, two such angles are there which are not right angled(not of 90 degrees).

The slant side is called hypotenuse.

From the considered angle, the side opposite to it is called perpendicular, and the remaining side will be called base.

From that angle (suppose its measure is θ),

[tex]\sin(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of Hypotenuse}}\\\cos(\theta) = \dfrac{\text{Length of Base }}{\text{Length of Hypotenuse}}\\\\\tan(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of base}}\\\\\cot(\theta) = \dfrac{\text{Length of base}}{\text{Length of perpendicular}}\\\\\sec(\theta) = \dfrac{\text{Length of Hypotenuse}}{\text{Length of base}}\\\\\csc(\theta) = \dfrac{\text{Length of Hypotenuse}}{\text{Length of perpendicular}}\\[/tex]

We are given;

6sinx=5, 6cosx=7, sin2x=0, sin(x+pi/3)+1=0, cos(2x/3-pi/4)=[tex]\sqrt{2} /2[/tex], cos2x-1=0, 2sin3x=-1, cos(3pi/2+2x/3)=1/2

Now,

1. 6sinx=5

sinx=5/6

x=0.98511078

2. sin2x=0

x=n*pi/2

3. sin(x+pi/3)+1=0

x-intercept= (pi/6+2n*pi)

y-intercept= (0, [tex]\sqrt{3}[/tex]/2 -1)

4. cos(2x/3-pi/4)=[tex]\sqrt{2}/2[/tex]

x= (pi/4+n*pi, pi+n*pi)

6. cos2x-1=0

x=n*pi

7. 2sin3x=-1

x= 7pi/18 + 2pi*n/3, 11pi/18+2pi*n/3

8. cos(3pi/2+2x/3)=1/2

x= pi/4 + 3pi*n, 5pi*/4 + 3pi*n

For any value of integer n

Therefore, the answer of trigonometric function will be x= pi/4 + 3pi*n, 5pi*/4 + 3pi*n.

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Answer:

-1, 7

Step-by-step explanation:

Based on the graph (it's a little blurry!) it looks like f(x) = 0 when x = -1 and x = 7.  The question is asking, for what values of x is y=0?  Answer is x = -1, 7

The property which is demonstrated by this expression 6 + 7 = 7 + 6 include the following: C. commutative property.

In Mathematics, the Commutative Property of Addition states that when two (2) or three (3) numerical values (numbers) are added together, the output (end result) would always remain the same, irrespective of the way in which the numerical values are arranged.

Generally speaking, the Commutative Property of Addition allows the addends to be re-ordered without causing a change in the result, output, or outcome.

By applying the Commutative Property of Addition, we have the following;

6 + 7 = 7 + 6

13 = 13

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Complete Question:

Which property is demonstrated below?

6 + 7 = 7 + 6.

A. associative property

B. distributive property

C. commutative property

D. identity property

The sample mean is significantly different from the population mean. The confidence level used was 95%.

To build a confidence interval to decide whether this example mean is fundamentally not the same as the populace mean, there are a few stages that should be taken.

To begin with, work out the standard error of the mean (SEM) for the example, which is the standard deviation separated by the square base of the example size (SEM = σ/√n). For this situation, the SEM is 3/5 = 0.6 mcg/dL.

Then, compute the critical value for the confidence interval picked by increasing the SEM by the t-esteem from the t-dissemination for the given confidence interval. For instance, in the event that a 95% confidence interval is picked, the t-esteem is 1.96. This provides us with a basic worth of 0.6 x 1.96 = 1.176 mcg/dL.

At last, build the certainty span utilizing the example mean and the basic worth. The certainty span is (15 - 1.176, 15 + 1.176), or (13.824, 16.176). This implies that we are 95% sure that the genuine populace mean exists in this reach.

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A total of 2.25 ft-lb work is needed to stretch it 18 in. beyond its natural length.

One foot is equal to 12 inches, so 3 ft is equal to 36 inches. To stretch the spring 18 inches beyond its natural length, we need to perform work on it to stretch it an additional 18/36 = 1/2 of the 3 ft distance. If the work required to stretch it 3 ft is 6 ft-lb, then to stretch it 1/2 of that distance, we would need 1/2 of the work, or 6/2 = 3 ft-lb. The work needed to stretch the spring 18 inches beyond its natural length is 3 ft-lb * 18 inches/12 inches/ft = 2.25 ft-lb.

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Answer:

Step-by-step explanation:

The expression 36 divided by s = 4 can be solved for s by dividing both sides of the equation by 36:

36/s = 4

Dividing both sides of the equation by 4:

s = 36/4 = 9

So, the value of s that makes the equation true is 9. This means that if you divide 36 by 9, the result will be 4.

the circumference of the circle is 19.4568 cm or, rounded to two decimal places, 94.68 cm.

94.68 cm

The formula for circumference of a circle is C = 2πr, where r is the radius of the circle. Therefore, to find the circumference of the circle, we need to first calculate the radius.

The area of the circle is given as A = πr2.

Therefore, we can rearrange this equation to solve for the radius, which is

r = √(A/π)

Plugging in the given area, A = 3.14, we get

r = √(3.14/π) = √(3.14/3.14) = 1

Now, we can use the circumference formula to calculate the circumference, which is

C = 2πr = 2π(1) = 2π × 3.14 = 6.28 × 3.14 = 19.4568

Therefore, the circumference of the circle is 19.4568 cm or, rounded to two decimal places, 94.68 cm.

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Answer: =x^4+7x^3+7x^2-3x+19

Step-by-step explanation:

= 10x^3 -x^2 +6x +3 +x^4 -3x^3 +8x^2-9x+16

Step 1. Group like-terms. x^4+10x^3-3x^3-x^2+8x^2+6x-9x+3+16

Step 2. Add similar elements. x^4+7x^3-x^2+8x^2+6x-9x+3+16

Step 3. Keep adding similar elements. x^4+7x^3+7x^2+6x-9x+3+16

Step 4. Add similar elements, again. x^4+7x^3+7x^2-3x+3+16

Step 5. Final adding elements. x^4+7x^3+7x^2-3x+19

The quantity of has he had left in his car after taking both friends home would be = 4.76gallons

The total amount of gas in gallons in his car = 6 gallons

The amount of gas he used to take one of his friends home = 1.04 gallons.

The second friend he used a total of = 1/5 = 0.2 gallons.

The total amount of gas he uses = 1.04+0.2 = 1.24 gallons.

Then the amount of gas remaining = 6 - 1.24 = 4.76gallons.

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Answer: For every one who is annoyed with the dude aboves answer the correct answer is: D 4.56

Step-by-step explanation:

On solving the provided question, we can say that the new equation of the line is = (y +6) = 1/2(x-3) => x - 2y = 9

A mathematical equation is a formula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the two sentences on either side of a letter is described by a mathematical formula. Often, there is only one variable, which also serves as the symbol. for instance, 2x – 4 = 2.

coordinates are (3, -6)

the perpendicular equation is y = -2x

so, m. the slope = 1/2

the new equation of the line is = (y +6) = 1/2(x-3)

2y + 12 = x = 3

x - 2y = 9

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Answer:

Step-by-step explanation:

To graph the equation 3y = -6x - 12, we can start by finding the x and y intercepts.

The x-intercept is the point where y = 0, so we can substitute 0 for y in the equation:

3y = -6x - 12

3 * 0 = -6x - 12

0 = -6x - 12

12 = -6x

x = -2

So the x-intercept is (-2, 0).

The y-intercept is the point where x = 0, so we can substitute 0 for x in the equation:

3y = -6x - 12

3y = -6 * 0 - 12

3y = -12

y = -4

So the y-intercept is (0, -4).

Now that we have the x and y intercepts, we can plot the points on the graph and draw a line that passes through both points. This line will be the graph of the equation.

In this case, the graph of the equation 3y = -6x - 12 is a downward sloping line that passes through the points (-2, 0) and (0, -4).

The total number of socks are n, 3 of which are red. when 2 socks are chosen randomly from the box, the probability of both socks being red is 1/2 so the value of n is 4.

The information given by question is

Total number of socks = n

Number of red socks   = 3

when 2 socks are chosen randomly from the box

Probability of both socks being red = 1/2

Ways of choosing 2 socks from n = [tex]_nC_2[/tex]

Ways of choosing 2 red socks from 3 = [tex]_3C_2[/tex]

Probability of both socks being red = [tex]\frac{_3C_2}{_nC_2}[/tex]

  [tex]\frac{6}{n(n-1)}[/tex] = [tex]\frac{1}{2}[/tex]

  12 = n² - n

n² - n -12 = 0

n² - 4n + 3n - 12 = 0

n(n - 4) + 3(n - 4) = 0

(n - 4)(n + 3) = 0

n = 4 or -3

Ignore negative value, therefore n = 4

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The deceptive amount claim is b). P (A n B) = P (A) + P (B) -P ( A U B). This assertion is false since it omits the point where A and B intersect, which is P. (A n B).

The deceptive claim is b). P (A n B) = P (A) + P (B) -P ( A U B). This claim is false because it disregards the fact that P is where A and B overlap (A n B). The stated statement does not take into consideration the intersection of two events, which is the likelihood that both occurrences will occur.

One must factor in the likelihood that the two occurrences will intersect when calculating the likelihood that two events will occur simultaneously. The given statement deducts the probability of the union of two occurrences from the sum of the probabilities of the two separate events because the probability of the union of two events is the chance that at least one of the events occurs. As it ignores the intersection, this method is inaccurate for estimating the likelihood of both occurrences occurring simultaneously. The probability of the intersection must be considered in order to calculate the likelihood of two occurrences occurring simultaneously.

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Answer:

your mom a cow your dad left for milk

A bone fragment that has 10% of the parent Pb-210 remaining with half-life of Pb-210 is 22 years, the bone fragment is approximately 51 years old.

To determine the age of the bone fragment, you need to calculate the number of half-lives that have elapsed since the bone was formed. The age of the bone can be calculated using the formula:

age = number of half-lives * half-life

To calculate the number of half-lives, you need to determine how much of the original Pb-210 has decayed. If a bone fragment has 10% of the parent Pb-210 remaining, then 90% has decayed.

You can calculate the number of half-lives by taking the natural logarithm of the ratio of the remaining amount of Pb-210 to the original amount:

number of half-lives = ln(0.10) / ln(0.5)

Using the half-life of Pb-210, which is 22 years, you can now calculate the age of the bone fragment:

age = number of half-lives * 22 years

Substituting the values and calculating the number of half-lives and the age of the bone fragment, you get:

number of half-lives = ln(0.10) / ln(0.5) = 2.302

age = number of half-lives * 22 years = 51.064 years

So, the bone fragment is approximately 51 years old.

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Answer:

$ 18

Step-by-step explanation:

To find the cost of each subscriptions, divide the cost of total subscriptions by 32.

        32m = 576

            m = 576 ÷ 32

            m = $ 18

2,5

this is how I got the answer

Answer:

3 loaves? 2 rye flour

7 loaves? 4⅔ rye flour

10 loaves? 6⅔ rye flour

Step-by-step explanation:

To get how many cups of rye flour the baker will use, for example: to get how many cups of rye flour the baker will use in 3 loaves? we multiply the number of cups the baker uses to make one loaf of bread

[tex]3 \: loaves \: = \frac{2}{3} \times 3[/tex]

[tex] \frac{2}{3} \times 3 = 2[/tex]

Now let's work out the others using the same method shown above

[tex] \frac{2}{3} \times 7 = 4 \frac{2}{3} [/tex]

[tex] \frac{2}{3} \times 10 = 6 \frac{2}{3} [/tex]

Answer:

2 cups = 3 loaves, 4 2/3 (4.66666667 in decimal form) cups of rye in 7 loaves, and 6 2/3 (6.66666666667 in decimal form) cups of rye in 10 loaves.

Step-by-step explanation:

What do we know?  We know that 2/3 cups of rye is equal to one loaf of bread.  We need to figure out how many cups of rye are in three loaves, seven loaves, and ten loaves.  To do this, we will first figure out how many cups of rye are in three loaves.  Since we know that 2/3 cups of rye is in 1 loaf, we take 2/3 cups and multiply it by three over one, or, three, for the three loaves.  That comes out to 6/3.  Now, we simplify.  Three goes into six, evenly, twice with no remainder.  So, 2 cups of rye goes into 3 loaves.  The decimal for this would be 2.0.

Applying the same method, 2/3 cups times 7.  We get 14/3.  Three goes into fourteen 4 times with a remainder of 2.  So, the answer would be 4 2/3 cups of rye in 7 loaves.  To get the decimal version, divide 14 into 3.

2/3 times 10 equals 20/3.  3 goes into twenty six times with a remainder of two.  So, 6 2/3 cups of rye in 10 loaves.  To get the decimal version, simply divide 20 into 3.

The median weight of the players on the football team is approximately 160 lbs.

The box plot provides a visual summary of the data which shows the distribution of the weights of the players on the football team. The box plot consists of a box and two "whiskers" which represent the upper and lower quartiles of the data. The box is bounded by the upper quartile and lower quartile and the two whiskers represent the highest and lowest values in the data set, excluding any outliers. The median weight of the players is represented by the line in the middle of the box, which is approximately 160 lbs. The box plot is a useful tool for summarizing the data and provides a quick and easy way to visualize the distribution of the players' weights. The median weight of 160 lbs gives us an idea of the average weight of the players, which can be used to determine the overall strength of the team.

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The complete question is

a high school has 40 players on the football team. the summary of the players' weights is given in the box plot. what is the median weight of the players and find lbs.

Answer: C, I hope this helps

The equation to determine the maximum number of bracelets Mr. Gonzales could buy is 29 + 4.50x = 42.50 and the maximum number of bracelets is 3.

According to the question Gonzales has $42.50.

Cost of shirt = $29

Cost of bracelets = $4.50 each.

so, the equation becomes

Total cost = money that Gonzales has.

The cost is $29 + 4.50x, where x is the number of bracelets he can buy.

29 + 4.50x = 42.50

4.50x = 42.50 - 29

x = 13.50/4.50

x = 3

So we have that Mr. Gonzales can buy a total of 3 bracelets.

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Answer: The equation is $29 + x$4.50 = $42.50, and the solution is x = 3

Step-by-step explanation:

The data we have is: Gonzales has $42.50. He wants to buy a shirt that costs $29. SOME bracelets that cost $4.50 each.

The equation that we need to solve is: Total cost = money that Gonzales has. The expression to find the cost is $29 + $4.50x

X represents the number of bracelets he can buy. The equation that we need to solve is: $29 + $4.50x = $42.50

To solve it we must isolate the x

$4.50x = $42.50 - $29 = $13.50x = 13.50/4.50 = 3

So we have that Mr. Gonzales can buy a total of 3 bracelets.

Answer: 56 yards

Step-by-step explanation:

4 + 7 + 5 = 16

128 / 16 = 8 yards

7 is the highest ratio in the set so

7 x 8 yards = 56 yards

Answer:A

Step-by-step explanation: