I don't know what it means by an obtuse angle. I have to choose math because I don't see a subject for shapes and stuff.

The sentence translation of "2/3y - 9 < y + 1" is "Nine less than two-thirds of a number is less than the number."

To translate the inequality expression "2/3y - 9 < y + 1" into a sentence, we can break it down into smaller parts:

"2/3y" represents two-thirds of a number.

"9" represents the number nine.

"y + 1" represents the number increased by one.

Now let's construct the sentence:

"Nine less than two-thirds of a number" - This refers to the expression "2/3y - 9," indicating that we have subtracted nine from two-thirds of a number.

"is less than" - This is the comparison symbol in the inequality.

"the number" - This refers to the expression "y + 1," representing the number increased by one.

Combining these parts, we form the sentence: "Nine less than two-thirds of a number is less than the number."

Hence, the correct sentence translation of "2/3y - 9 < y + 1" is "Nine less than two-thirds of a number is less than the number."

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The coordinates of the image are -2P

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

Ry = -2(P)

To calculate the coordinate of the image, we simply open the bracket

So, we have

Ry = -2(P)

Solving further, the equation can be represented as

Ry = -2 * P

Evaluate the product

So, we have the following representation

Ry = -2P

Hence, the image has an coordinate or ordered pair of -2P

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Answer:

Step-by-step explanation:

40 + 15 + 0.25m = 45 + 0.35m

       55 + 0.25m = 45 + 0.35m

                       10 = 0.10m

                        m = 100 miles

Answer:

C

Step-by-step explanation:  

To find all points on the x-axis that are 16 units away from the point (5, -8), we can use the distance formula. The distance between two points (x₁, y₁) and (x₂, y₂) is given by the formula:

d = √((x₂ - x₁)² + (y₂ - y₁)²)

In this case, the y-coordinate of the point (5, -8) is -8, which lies on the x-axis. So, any point on the x-axis will have a y-coordinate of 0. Let's substitute the given values and solve for the x-coordinate.

d = √((x - 5)² + (0 - (-8))²)

Simplifying:

d = √((x - 5)² + 64)

Now, we want the distance d to be equal to 16 units. So, we set up the equation:

16 = √((x - 5)² + 64)

Squaring both sides of the equation to eliminate the square root:

16² = (x - 5)² + 64

256 = (x - 5)² + 64

Subtracting 64 from both sides:

192 = (x - 5)²

Taking the square root of both sides

√192 = x - 5

±√192 = x - 5

x = 5 ± √192

Therefore, the two points on the x-axis that are 16 units away from the point (5, -8) are:

Point 1: (5 + √192, 0)

Point 2: (5 - √192, 0)

In summary, the points on the x-axis that are 16 units away from the point (5, -8) are (5 + √192, 0) and (5 - √192, 0).

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Answer:

1.65 inches

Step-by-step explanation:

3.63/2.2= 1.65

Check

2.2 x 1.65 x 1/2 = 1.815

Repeat for the other half of the triangle

2.2 x 1.65 x 1/2 = 1.815

Add

1.815 + 1.815= 3.63

Answer:

1.65"

Step-by-step explanation:

I did the test

Hope this helps :)

Answer:

25

Step-by-step explanation:

considering that the coin can either land on heads or tails, the probability of each of those situations is 50%. Now multiply: 50 (the number flips) * 0.5 (probability of tails)= 25

Answer:

Check image

Step-by-step explanation:

Answer:

D  \(\sqrt{x+4}\)

Step-by-step explanation:

The surface area of a cylinder with circular bases of radius r and height h is equal to the sum of the areas of the two circular faces and the area of the rectangular lateral surface:

A = 2πr² + 2πrh

If you know the height h, then you can solve the quadratic equation for r.

answer should be 4 rounded up to the nearest thousandths

Answer:

3.99479 Meters

The graph of a proportional relationship can be described as a graph that always starts at point zero and is always a straight line graph.

A straight line graph is defined as the type of graph that is also called a linear graph which shows a relationship between two or more quantities that uses a graphical form of representation.

There are some characteristics that shows that a graph is of proportional relationship which include the following:

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Answer:

The blue dot is -19

Step-by-step explanation:

Since every 2 ticks are worth 6 (|-10|-|-4|=6), then one tick is worth 3.

We are going backward, so we can count backward.

We have to go down 3 ticks, so -10-3=-13; -13-3=-16; -16-3=-19.

The blue dot is -19

Answer: The blue dot equals to -19.

Step-by-step explanation:

On the number line, there are the numbers -10 & -4.

-7 would fit in the middle of them. That means the number line goes by minus 3.

Count -10 , -13, -16, then you get on the the blue dot which is -19.

Therefore, -19 is the answer.

The equation for x² + 9x + c=0 with c=(1/2 • b)² is  x²+9x+(81/2)=0

An equation in French is defined as having one or more variables, whereas an equation in English is any well-formed formula consisting of two expressions combined with an equals sign.

Solving a variable equation includes determining which variables' values result in equality. Unknowns are the variables for which the equation must be solved, while equation solutions are the unknown values that satisfy the equality. An equation is a mathematical phrase with two equal sides separated by an equal sign. An equation is 4 + 6 = 10. We can see 4 + 6 on the left side of the equal sign and 10 on the right.

Given,

x²+9x+c

Also given that c=(1/2)b²

From the equation, the value of b=9

Then,

x²+9x+(81/2)=0

Therefore, the equation is x²+9x+(81/2)=0

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notice the first diagonal all numbers are the digit 1

notice the second diagonal is increases by 1, this is because the following number in the pascal triangle is he number before in the second diagonal plus 1

the first number in the second diagonal is 1

then

the 14th number in the second diagonal is 14

the third diagonal is increasing by the sum of the second diagonal and the number before in the third diagonal

we can create the serie

then the 14th number in the 3rd diagonal is 105

The functions g(x) = x² - 4x + 3 and f(x) = x² - 4x are:

The functions have the same range.

The functions have the same domain.

The functions have the same x-intercepts.

Let's analyze the given functions g(x) = x² - 4x + 3 and f(x) = x² - 4x and determine which statements about them are true.

Here are the options:

The functions have the same graph.

The functions have the same range.

The functions have the same domain.

The functions have the same vertex.

The functions have the same y-intercept.

The functions have the same x-intercepts.

The functions have the same graph:

This statement is false. While both functions are quadratic functions, their additional terms make them different. g(x) has an additional constant term (+3) compared to f(x).

Their graphs will be different, with g(x) being shifted upward by 3 units compared to f(x).

The functions have the same range:

This statement is true.

Both functions are quadratic functions, and their range will be the same. The range of a quadratic function is either all real numbers (if the parabola opens upward) or the set of real numbers greater than or equal to (or less than or equal to) the vertex of the parabola.

The functions have the same domain:

This statement is true.

The domain of both functions, unless restricted by any other factors, is all real numbers.

Quadratic functions have a domain of (-∞, ∞).

The functions have the same vertex:

This statement is false.

The vertex of a quadratic function is determined by the values of "a," "b," and "c" in the general form of the quadratic function (ax^2 + bx + c).

Since g(x) has an additional constant term, its vertex will be different from the vertex of f(x).

The functions have the same y-intercept:

This statement is false.

The y-intercept of a function is the value of y when x = 0.

For f(x), when x = 0, we have f(0) = (0)² - 4(0) = 0.

For g(x), when x = 0, we have g(0) = (0)² - 4(0) + 3

= 3.

Their y-intercepts are different.

The functions have the same x-intercepts:

This statement is true.

To find the x-intercepts of both functions, we set y (or f(x) and g(x)) equal to zero and solve for x.

The quadratic equation x² - 4x + 3 = 0 can be factored as (x - 1)(x - 3) = 0, giving x = 1 and x = 3 as the x-intercepts.

Both functions have the same x-intercepts.

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The correlation coefficient of r measures how closely the two variables, x and y, are related. If the coefficient is close to 1, it means that the two variables are strongly related, whereas if it is close to 0, it means that there is no relation between them.

The correlation coefficient of r is a measure of how closely related two variables are to each other. It is calculated by taking the covariance of the two variables and dividing it by the product of their standard deviations. The coefficient ranges from -1 to +1, with -1 indicating a perfectly negative linear relationship, 0 indicating no relationship, and +1 indicating a perfectly positive linear relationship. In the case of the sales manager analyzing the sales of snow shovels compared to the outside temperature, the correlation coefficient of r can be used to measure the strength of the relationship between the two variables. If the coefficient is close to 1, it indicates that the two variables are strongly related, while a coefficient close to 0 indicates that there is no relation between them.

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Answer

Option B is correct.

Only Patti is correct

(4/8) + (2/8) + (5/8) = (11/8) = 1⅜

David is wrong,

1 + (1/8) + (3/8) = (12/8)

Explanation

To answer this, we need to first express 1⅜ as a mixed fraction

1⅜ = (11/8)

So, we will add what each of these two guys have decomposed

For David,

1 + ⅛ + ⅜ = (8/8) + (1/8) + (3/8) = (8 + 1 + 3)/8 = (12/8)

(12/8) ≠ (11/8)

So, it is clear that David is not correct.

For Patti,

(4/8) + (2/8) + (5/8) = (4 + 2 + 5)/8 = (11/8)

So. we can see that Patti is correct.

Hope this Helps!!!

<XYZ =90°(ANGLE ON THE SEMI-CIRCLE)

MEANING

NOW WE HAVE 1 UNKNOWN <XZY

<XYZ+<YXZ+<XZY=180°(SUM OF ANGLES OF A TRIANGLE)

90°+88°+<XZY=180°

<XZY=180°-90°-28°

<XZY=62°

BE ALERT I USED THE WRONG ANGLE OF <YXZ BECAUSE IT WAS UNCLEAR IN THE PICTURE BUT WITH WHAT I WROTE YOU WILL BE ABLE TO PLUG IN CORRECT VALUE OF THE ANGLE!!AND FIND THE CORRECT ANSWER.

The probability of drawing a red marble is 25%, red or green marble is 68.75% and for drawing an orange marble is 0.

Given that there are 7 green marbles, 5 blue marbles and 4 red marbles.

We are required to find the probability for drawing red marble, for drawing a red or a green marble and an orange marble as fraction, as decimal and as percent.

Probability is basically the calculation of likeliness of happening of an event among all the events possible. It lies between 0 and 1.

Probability=Number of items/ Total number of items.

Probability of drawing red marble=Number of red marbles/Total marbles

P(Red)=4/16

P(Red)=0.25

P(Red)=4/16 *100

P(Red)=25%

Probability of drawing a red or green marble=Probability of drawing red marble*Probability of drawing green marble

P(Red or green)=4/16 *7/16

P(Red or green)=11/16

P(Red or green)=68.75%

Probability of drawing an orange marble is equal to 0 because the bag does not have any orange marble.

Hence the probability of drawing a red marble is 25%, red or green marble is 68.75% and for drawing an orange marble is 0.

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Step-by-step explanation:

Step 1: D for Divide. How many times will 5 go into 65? ...

Step 2: M for Multiply. You multiply your answer from step 1 and your divisor: 1 x 5 = 5. ...

Step 3: S for Subtract. Next you subtract. ...

Step 4: B for Bring down. ...

Step 1: D for Divide. ...

Step 2: M for Multiply. ...

Step 3: S for Subtract.

Step-by-step explanation:

Dividing something is trying to find how many times a number can appear in another number

For example

64 divided by 4 is 16

4 is the divisor and 64 is the dividend.

So, 4 can appear 16 times to make 64

The temperature at the bottom of the mountain is 50.9 °C.

Let's work through the given information step by step to find the temperature at the bottom of the mountain.

The temperature in the hotel is 21 °C.

The temperature in the hotel is 26.7 °C warmer than at the top of the mountain.

Let's denote the temperature at the top of the mountain as T_top.

So, the temperature in the hotel can be expressed as T_top + 26.7 °C.

The temperature at the top of the mountain is 3.2 °C colder than at the bottom of the mountain.

Let's denote the temperature at the bottom of the mountain as T_bottom.

So, the temperature at the top of the mountain can be expressed as T_bottom - 3.2 °C.

Now, let's combine the information we have:

T_top + 26.7 °C = T_bottom - 3.2 °C

To find the temperature at the bottom of the mountain (T_bottom), we need to isolate it on one side of the equation. Let's do the calculations:

T_bottom = T_top + 26.7 °C + 3.2 °C

T_bottom = T_top + 29.9 °C

Since we know that the temperature in the hotel is 21 °C, we can substitute T_top with 21 °C:

T_bottom = 21 °C + 29.9 °C

T_bottom = 50.9 °C

Therefore, the temperature at the bottom of the mountain is 50.9 °C.

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The mean increase if the smallest number is removed is A. 7.3

It should be noted that mean simply means the average of a set of numbers that are given. In this situation, the dataset has 12 numbers with a mean of 80. If the smallest number in the dataset is O.

The mean of the remaining numbers will be:

= 960 / 11

= 87.3

The increase in mean will be:

= 87.3 - 80

= 7.3

The correct option is A.

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Answer:

\(m =-4\)

Step-by-step explanation:

Given

\(p(m-3 , -6) = p(-7 , -6)\)

Required

Find m

\(p(m-3 , -6) = p(-7 , -6)\)

By comparison:

\(m-3 = -7\)

Add 3 to both sides

\(m = -7+3\)

\(m =-4\)

Answer:

49 < x

Step-by-step explanation:

Write an inequality.

Let x be franklin's books

so then,

49 < x is the inequality

Answer:

Step-by-step explanation:

The total interest earned will be the sum of the amounts earned by each account. An equation expressing this fact can be solved to find the investment amounts.

__

Let x represent the amount invested at the higher rate. Then 70000-x is the amount invested at the lower rate. The total earnings from the investment will be ...

  0.15x +0.07(70000-x) = 9000

__

Simplifying the equation gives a 2-step linear equation.

  0.08x +4900 = 9000 . . . . simplified

  0.08x = 4100 . . . . . . . . . . subtract 4900

  x = 51,250 . . . . . . . . . . . .divide by 0.08

  70000 -x = 18,750

The woman should invest $51,250 at 15% and $18,750 at 7%.

Answer:

60 students

Step-by-step explanation:

Given total cost = $4220

Cost per student= $30+$40=$70

Additional cost = $20

Number of student = cost paid by students/cost per student

cost paid by students = 4220-20 = 4200

Number of students = 4200/70= 60

A total of 60 students will be going for the weekend.

We have a weekend plan for a school.

We have to determine the total number of students that will be going to the picnic.

An equation which is expressed in the form of ax + b = 0, where a and b are two integers, and x is a variable and has only one solution.

According to the question -

Assume that the number of students going for the weekend trip be x.

Then, the total cost of the weekend will be equal to -

40x + 30x + 20 = 4220

70x + 20 = 4220

x = 60

Hence, a total of 60 students will be going for the weekend.

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Answer:

-9/14 so the answer is B

Step-by-step explanation:

Hope this helps!!!!

Answer:

the answer is b

Step-by-step explanation:

Answer:

252

Step-by-step explanation:

The second and third smallest factors must add to 5. The only possibility is that these factors are 2 and 3.

The second and third largest factors must add to \(462-N\). These factors are \(N/2\) and \(N/3\).

\(462-N=\frac{N}{2}+\frac{N}{3} \\ \\ 462-N=\frac{5N}{6} \\ \\ 462=\frac{11N}{6} \\ \\ N=252\)