B is the midpoint of Ac. Ab =3x+14 Ac= 12x-8. Find the x

Answer:

G=m/r-h^2

Step-by-step explanation:

move all the terms to the left side and set equal to zero. Then set each factor equal to zero. Hope this helps!

Answer:

10/8 or 5/4

Step-by-step explanation:

It is pretty easy. If you look at the problem it says "1/8 of a gram of honey to make 1/10 of a cake" That means that we should multiply 1/8 by 10 so it will become a whole cake.

1/8 * 10 = 10/8

If you want we can simplify it.

5/4

And that's your answer!

Answer:

321.68feet

Step-by-step explanation:

Given the following

Top of the house above the sea level  = 150feet = opposite

Angle of elevation = 25°

Required

Distance from the boat to the base of the house(adjacent)

Using the SOH CAH TOA identity

tan theta = opp/adj

tan 25 = 150/d

d = 150/tan25

d = 150/0.4663

d = 321.68

Hence the required distance is  321.68feet

Step-by-step explanation:

first we need to calculate the slope, which is needed in both equation forms.

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

I always prefer to go from left to right (but it works exactly the same way in the opposite direction), so I go from (-1, 3) to (7, -4).

x changes by +8 (from -1 to +7).

y changes by -7 (from +3 to -4).

so, the slope is -7/+8 = -7/8

when (7, -4) is used (I think you have a typo in the problem description up there), the point-slope form is

y - y1 = m(x - x1)

with (x1, y1) being the point coordinates, and m bring the slope

y - -4 = -7/8 × (x - 7)

or simplified

y + 4 = -7/8(x - 7)

the slope-intercept form is

y = mx + n

m being the slope, n being the y-intercept (y value for x=0).

we know already

y = -7/8 x + n

we also use the coordinates of a point here to solve for n :

-4 = -7/8 × 7 + n = -49/8 + n

-32/8 = -49/8 + n

17/8 = n

so, the full equation is

y = -7/8 x + 17/8

3. y= (-7/8)x + (17/8)

the expression StartRoot StartFraction 25 x Superscript 9 Baseline y Superscript 3 Baseline Over 64 x Superscript 6 Baseline y Superscript 11 Baseline EndFraction EndRoot is equivalent to 25x9y3 / 64x6y11.

StartRoot StartFraction 25 x Superscript 9 Baseline y Superscript 3 Baseline Over 64 x Superscript 6 Baseline y Superscript 11 Baseline EndFraction EndRoot

= 25x9y3 / 64x6y11

StartRoot is the beginning of the root expression and StartFraction is the beginning of the fraction within the root expression. 25x9y3 is the numerator of the fraction and 64x6y11 is the denominator of the fraction. Superscript is used to raise the numbers to the power indicated. Baseline is the number which the Superscript is raised to. EndFraction indicates the end of the fraction and EndRoot indicates the end of the root expression.

Therefore, the expression StartRoot StartFraction 25 x Superscript 9 Baseline y Superscript 3 Baseline Over 64 x Superscript 6 Baseline y Superscript 11 Baseline EndFraction EndRoot is equivalent to 25x9y3 / 64x6y11.

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When the area corresponding to the critical value is in the lower tail of the sampling distribution, the p-value is the area under the curve less than or equal to the critical value. Therefore, the correct answer is a. less than or equal to the critical value.

The critical value is the point on the sampling distribution that separates the rejection region from the non-rejection region. If the test statistic falls in the rejection region, we reject the null hypothesis. The p-value is the probability of obtaining a test statistic as extreme or more extreme than the one observed, given that the null hypothesis is true. If the p-value is less than or equal to the critical value, we reject the null hypothesis.

In the case of a lower-tailed test, the critical value is in the lower tail of the sampling distribution, and the p-value is the area under the curve to the left of the test statistic. If the p-value is less than or equal to the critical value, it means that the test statistic falls in the rejection region and we reject the null hypothesis.

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Pathos is an emotional appeal average used to persuade an audience by appealing to their feelings and eliciting an emotional response.

Pathos is a rhetorical appeal that is used to persuade an audience by appealing to their emotions. It is a powerful tool used in communication to evoke an emotional response from the audience. Pathos often involves using words that elicit feelings of empathy, sympathy, fear, anger, sadness, or joy. It can also involve using visuals or stories that draw on the audience’s emotions. Pathos is a powerful tool used to create a connection between the speaker and the audience and can be used to effectively persuade or convince an audience of a particular position or argument. Pathos can be used to create a strong emotional reaction that will stay with the audience long after the initial message has been heard.

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The following ordered pair is given as {(1, -1), (2,0), (3,1)} for the given data of movement of arrow.

A set comprises elements or members that can be mathematical objects of any sort, including numbers, symbols, points in space, lines, other geometric forms, variables, or even other sets. A set is the mathematical model for a collection of various things.

An ordered pair consists of two items. The order of the objects in the pair matters because, unless a = b, the ordered pair differs from the ordered pair. Ordered pairs are also known as 2-tuples, or 2-length sequences.

An ordered pair is made up of the ordinate and the abscissa of the x coordinate, with two values given in parenthesis in a certain sequence. In order to understand a point visually, it might be helpful to position it on the Cartesian plane. An ordered pair's numerical values may be fractions or integers.

The following ordered pair is given as {(1, -1), (2,0), (3,1)} for the given data of movement of arrow.

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Answer:

D

Step-by-step explanation:

The slope intercept form of a linear equation is given as:

Let's write the one given like this:

Therefore the slope intercept form is:

The cosine function of the form f(t) is f(t) = 12cos((π/360)(t - 270))

Let's denote the low tide as t = 0. Hence, the first low tide of a day will always be at t = 0. There is no vertical shift in the tide levels, so we can assume that the mean tide level is 0 inches.

Therefore, the high tide is 24 inches above the low tide.

The time period for the function is the time difference between two successive low tides which is equal to 12 hours or 720 minutes.

A cosine function can be written as f(t) = Acos(B(t-C)) + D where A is the amplitude, B is the period, C is the phase shift, and D is the vertical shift.

We can write a cosine function for the ocean tide as follows:f(t) = 24/2 cos((2π/720)(t - 270))

Here, the amplitude A is 24/2 = 12 since the high tide is 12 inches above the low tide.

The period B is 720 minutes since it takes 12 hours or 720 minutes for the tides to repeat themselves.The phase shift C is 270 since the high tide occurred halfway between the two low tides.

The vertical shift D is 0 because the mean tide level is 0 inches.

Hence, the required cosine function is f(t) = 12cos((π/360)(t - 270))

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Answer:

15

Step-by-step explanation:

plug in what we know

2(1+4)-(3-8)

PEMDAS says parenthesis first

2(5)-(-5)

Then multiplication since there are no exponenents

10-(-5)

two negatives makes a posititve

10+5

add

15

Answer:

11

Step-by-step explanation:

First, you simplify the equation. 2x+4-y+8=2x+12-y. Then, you apply x=1 and y=3. 2+12-3=14-3=11

Area of vertical rectangle

Area of horizontal rectangle

Total:-

The force required to keep a hockey puck sliding at a constant velocity, neglecting ice friction and air resistance, is equal to its weight. The correct option is "equal to its weight."

When a hockey puck is set in motion across a frozen pond and there is no ice friction or air resistance, the only force acting on the puck is its weight, which is the force due to gravity pulling it downward. According to Newton's first law of motion (the law of inertia), an object at a constant velocity will continue to move at that velocity unless acted upon by an external force.

Since the puck is already in motion and we want to maintain its constant velocity, the force required to counteract its weight and keep it sliding is equal to its weight. This is because the weight of an object is the force exerted on it by gravity, and in the absence of other forces, an equal and opposite force is needed to maintain the object's motion without acceleration.

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Answer: $78

Step-by-step explanation:

We start by doing 260 x 30.

260 x 30 = 7800.

Then we divide the product of 260 and 30 by the original percent, which is 100.

7800 divided by 100 = 78.

So the answer is 78

Maybe B. (Sorry again, changed my answer).

If the side length of the pentagon is 19.27 centimeters. Then the area of the pentagon will be 337.225 square cm.

The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.

The apothem of the pentagon is 7 cm.

Then the area of the pentagon will be

\(\rm Area = 5 \times \dfrac{1}{2} \times apothem \times side \ length\)

The side length of the pentagon will be

\(\rm Side \ length = 2 \times 7 \tan 54^o \\\\Side \ length = 19.27\ cm\)

Then the area will be

\(\rm Area = 5 \times \dfrac{1}{2} \times 7\times 19.27\\\\Area = 337.225\)

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Using the subtraction operation, 3458 is 996542 less than a million .

The subtraction operation gives how much a value or number is greater than the other.

Given the values :

The subtraction operation would give us how much 1000000 is greater than 3458

Therefore, the required value is 996542.

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The equivalent expression for 1.5 cubed over 1.3 raised to the fourth power all raised to the power of negative six is 1.5 to the eighteenth power over 1.3 to the twenty-fourth power.

Here are the steps to simplify the expression:

Apply the negative power rule: (1.5 cubed over 1.3 raised to the fourth power) raised to the power of negative six is equal to (1.3 raised to the fourth power over 1.5 cubed) raised to the power of six.

Apply the power of a quotient rule: (1.3 raised to the fourth power over 1.5 cubed) raised to the power of six is equal to (1.3 raised to the fourth power)⁶ / (1.5 cubed)⁶.

Apply the power of a power rule: (1.3 raised to the fourth power)⁶ is equal to 1.3(⁴*⁶) = 1.3²⁴.

Apply the power of a power rule: (1.5 cubed)⁶ is equal to 1.5(³*⁶) = 1.5¹⁸.

Therefore, the equivalent expression is 1.5¹⁸ / 1.3²⁴.

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Answer:

162

Step-by-step explanation:

189-11=178

178-7=171

171-6=165

165-3=162

The hourly wage obtained from the slope of the dataset is $0.1

The hourly wage can be obtained from the gradient or slope. The slope value gives how much is paid per hour to each worker.

Slope = change in y / change in x

change in y = 16.50 - 12.50 = 4

change in x = 40 - 0 = 40

Slope = 4/40 = 0.1

Therefore, the hourly wage of workers is $0.1

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By using the law of sine, the measure of ∠C is 39°

Law of sine:

Law of sine refers the ratio of the side length of a triangle to the sine of the opposite angle, which is the same for all three sides.

Given,

Here we have the triangle.

Now, we have to find the angle ∠C.

While we looking into the given diagram,

We have the length of,

AB = 6

AC = 9

∠B = 105°

So, based on the law of sine it can be written as,

=> sin 105° / 9 = sin x°/6

Apply the value of sin 105° = 0.97, then we get,

=> 0.97/9 = sin x° / 6

Cross multiply them, then we get,

=> 5.82/9 = sin x°

=> 0.64 = sin x°

=> x = sin⁻¹ (0.64)

=> x = 39°

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Answer:

x = 17

Step-by-step explanation:

4x + 7 = 75         (as the 2 angles are interior alternate angles)

4x = 75 - 7 = 68

x = 68/4 = 17

Answer:

x = 17

Step-by-step explanation:

4x + 7 = 75         (as the 2 angles are interior alternate angles)

4x = 75 - 7 = 68

x = 68/4 = 17

The expression \(\frac{(52*51*50)}{3*2}\)can be simplified to 22,100.

To simplify the expression, we follow the order of operations, which involves performing multiplication and division before addition and subtraction. Starting with the given expression, we have 52 * 51 * 50 / (3 * 2 * 1).

First, we multiply the numbers 52, 51, and 50 together, resulting in 132,600. Then, we multiply the numbers 3, 2, and 1 together, giving us 6.

Next, we divide the product of the first multiplication (132,600) by the product of the second multiplication (6). This division yields a value of 22,100.

Therefore, the simplified value of the expression 52 * 51 * 50 / (3 * 2 * 1) is 22,100. By following the order of operations, performing the multiplications before the division, we were able to simplify the expression and obtain a single value. \(\frac{(52*51*50)}{3*2}\) is 22,100.

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The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Using the information above, we test it out to see if it is true

4+8 >9

4+9>8

9+8>4

Since the sum of two sides is greater than the third side. Therefore the answer is possible.

Answer:

Step-by-step explanation:

If one spins a six-space spinner and then flips a coin, then the sample space (S) of possible outcomes using (1, 2, 3, 4, 5, 6) for the spinner outcomes and (H, T) for the coin outcomes will be [S = {(1H), (1T), (2H), (2T), (3H), (3T), (4H), (4T), (5H), (5T), (6H), (6T)}]

As per the question statement, a person spins a six-space spinner and then flips a coin,

And we are required to determine the sample space (S) of possible outcomes using (1, 2, 3, 4, 5, 6) for the spinner outcomes and (H, T) for the coin outcomes.

Now, on spinning a six-space spinner, any one of the 6 faces will come as outcomes, and if these outcomes are denoted by (1, 2, 3, 4, 5, 6).

And after spinning the six-space spinner, if one flips a coin, either of "heads" face or "tails" face will come as outcome, which can be denoted by {H, T}.

Therefore, If one spins a six-space spinner and then flips a coin successively as mentioned above, every possible outcome of the spinner will be accompanied by one of two the possible outcomes the coin. Hence, the sample space (S) of possible outcomes will be [S = {(1H), (1T), (2H), (2T), (3H), (3T), (4H), (4T), (5H), (5T), (6H), (6T)}]

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Answer:

G

Step-by-step explanation:

(x)0 months: (y)15 toys, 1:17, 2:19, 3:21, 4:23, 5:25, 6:27, 7:29, 8:31, etc.

The equation that represents best shows this relationship between the number of toys Rudolfo has will be y = 2x + 15. Then the correct option is G.

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Rudolfo has 15 toys in his toy box, and he adds 2 new toys every month.

Let x be the number of months and y be the total number of toys. Then the equation is given as,

y = 2x + 15

The equation that represents best shows this relationship between the number of toys Rudolfo has will be y = 2x + 15. Then the correct option is G.

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The correct answer is "the more accurately the scores are represented by the mean."

The variability or dispersion of a set of scores refers to how spread out the scores are from the central tendency, which is usually measured by the mean, median, or mode.

When a set of scores has low variability or dispersion, it means that the scores are clustered closely together around the mean, and therefore, the mean is a more accurate representation of the typical score in the set.

On the other hand, when a set of scores has high variability or dispersion, it means that the scores are more spread out from the mean, and therefore, the mean may not be a very accurate representation of the typical score in the set. In such cases, other measures of central tendency, such as the median or mode, may provide a more accurate representation of the scores.

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