What are the exact solutions of x^2 − 3x − 7 = 0?

Answer:

r=6.5c-20

Step-by-step explanation:

The raw score is given by

r=c*6-0.5(40-c)

Taking the number of correct answers as c

The incorrect answers will be 40-c

Since each incorrect answer deducts 0.5 points. Then the deducted points will be 0.5(40-c)=20-0.5c

Since correct answers, c gives 6 points each then the number of points will be 6c

Now, the raw score will be

r=6c-(20-0.5c)

Opening the brackets, the signs change hence

r=6c-20+0.5c

r=6.5c-20

The formula that describes the student's raw score based on the number of correct answers is; r = 6.5c - 20

We are told that they gain 6 points for each correct answer and lose 0.5 points for each incorrect answer. Thus, the formula for the raw score is;

The raw score is given by

r = 6c - 0.5(40 - c)

where;

c is the number of correct answers

40 - c as number of incorrect answers

We are told that each incorrect answer deducts 0.5 points.

Thus, the deducted points = 0.5(40 - c) = 20 - 0.5c

We are told that each correct answers, c gives 6 points each. Thus, the raw score will be;

r = 6c - (20 - 0.5c)

⇒ r = 6c  - 20 + 0.5c

r = 6.5c - 20

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Answer:

1. 2

Step-by-step explanation:

1. cross multiply then simplify

Answer to problem 1:

x=2

Reasoning:

1) Simplify 10/20 to 1/2

2) Multiply the numerator and denominator by 2 to get 2/4

Answer to problem 4:

1 in: 18 in

Reasoning:

1) Convert 15 feet to inches

15*12=180

2) Use a ratio of 10 inches to 180 in and simplify it to 1:18

Answer to problem 5:

m = 38.44

1) Use the technique "Cross multiplication" and make the following equation

8.45*7.5=3.6m

2) 8.45*7.5=138.375

3) 138.375=3.6m and divide 3.6 from both sides of the equation,

4) You get 38.4375, and round up to the nearest hundredth of 38.44

Answer to problem 6:

92°

When 2 triangles are similar, their lengths are needed to multiplied by a scale factor but, the angles remain the same.

Sorry, I didn't have enough time to answer the other question...

Hope this helped...

Answer:

A.)Line P, because it is closest to most data points

Step-by-step explanation:

The line of best fit is a line which best represents the data and the data points are closely related to it.

It is also known as a trend line.

The line of best fit may pass through, some , none or all of the data points.

Also if the scatter plot does not pass through all the data point then the magnitude of positive residual must be approximately equal to the magnitude of negative residual of the data points.

Hence, by looking at the scatter plot we see that all the data points lie above Line R.

Hence, the Line R will not be a line of best fit.

But all the data points lie close to the line P , hence it act as a line of best fit.

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Answer:

Line P, because it is closest to most data points

Step-by-step explanation:

Answer:

A. Reflection over the y-axis and rotation 90° counterclockwise

Answer:

The answer is A (:

Step-by-step explanation:

Answer:

This is pretty easy:July, June, October, September, August.

Step-by-step explanation:

All you have to do is look at the least to greatest numbers:)!

SimpleMathmatics.org -SmartieSchool

Answer:

cos A = 8/17

Step-by-step explanation:

For a right triangle

cos theta = adj side/ hypotenuse

cos A = 8/17

Answer:

20 pennies

Step-by-step explanation:

20+20+40=80

100-80=20%

Answer:

40%

Step-by-step explanation:

Answer:

x = ± √ 5 − 2

Step-by-step explanation:

To determine the best deal, divide the total cost by the total quantity for each option to find the cost per unit. Option 4, 25000 ball bearings for $275.00, offers the best deal with the lowest cost per unit.

The best deal can be determined by comparing the cost per unit of each item. To do this, divide the total cost by the total quantity for each option.

Based on these calculations, option 4, 25000 ball bearings for $275.00 offers the best deal with the lowest cost per unit.

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To solve for m in the equation (9 – 6i) × m = 9 – 6i, both sides are divided by (9 – 6i), yielding m = 1.

The equation given is (9 – 6i) × m = 9 – 6i. To find the value of m, we can divide both sides of the equation by (9 – 6i). Doing so, we get:

m = (9 – 6i) / (9 – 6i) = 1.

Therefore, the value of m is 1.

Step-by-step explanation:

2x + 5 = 3x - 2

3x - 2x = 5 + 2

x = 7

Therefore x = 7

Answer:

X=7

Step-by-step explanation:

2X+ 5=3x-2

5=x-2

7=x

Answer:

can you provide a picture or an equation?

Step-by-step explanation:

Answer:

If the vertex is at the top of the graph it is a maximum and if it is at the bottom it is a minimum

Step-by-step explanation:

Answer:

I think it  is 4

Step-by-step explanation:

Answer:

y = 6|x|

Step-by-step explanation:

y = |x|

When we scale vertically, we multiply by a constant

y = a f(x)

We are multiplying by 6

y = 6|x|

The surface area of the cylinder is 16.125π cm², which is closest to option D) 19.55π cm².

To find the surface area of a cylinder, we need to calculate the sum of the areas of its two bases and its lateral surface.

The formula for the lateral surface area of a cylinder is given by:

[tex]\[ LSA = 2 \pi r h \][/tex]

where [tex]\( r \)[/tex] is the radius and [tex]\( h \)[/tex] is the height of the cylinder.

Given that the diameter of the cylinder is 1.5 centimeters, the radius [tex]\( r \)[/tex] is half of that, which is [tex]\( \frac{1.5}{2} = 0.75 \)[/tex] centimeters.

The height of the cylinder is given as 5 centimeters.

Substituting these values into the formula for the lateral surface area:

[tex]\[ LSA = 2 \pi (0.75) (5) \][/tex]

[tex]\[ LSA = 15 \pi \][/tex]

Now, we need to find the area of the two bases of the cylinder. Since the cylinder has two circular bases, we can find their combined area using the formula for the area of a circle:

[tex]\[ A_{\text{base}} = \pi r^2 \][/tex]

[tex]\[ A_{\text{base}} = \pi r^2 \][/tex]

[tex]\[ A_{\text{base}} = \pi (0.75)^2 \][/tex]

[tex]\[ A_{\text{base}} = \pi (0.5625) \][/tex]

[tex]\[ A_{\text{base}} = 0.5625 \pi \][/tex]

The total surface area is the sum of the lateral surface area and the areas of the two bases:

[tex]\[ \text{Total Surface Area} = LSA + 2A_{\text{base}} \][/tex]

[tex]\[ \text{Total Surface Area} = 15 \pi + 2(0.5625 \pi) \][/tex]

[tex]\[ \text{Total Surface Area} = 15 \pi + 1.125 \pi \][/tex]

[tex]\[ \text{Total Surface Area} = 16.125 \pi \][/tex]

[tex]\[ \text{Total Surface Area} = 16.125 \pi \][/tex]

Therefore, the surface area of the cylinder is 16.125π cm².

The closest option is D) 19.55π cm².

Answer:

x>_6.8

Step-by-step explanation:

.

Answer:

51.43

Step-by-step explanation:

im not sure if you typed it correctly but using the above information and setting up the ratio, this is the outcome

Answer:

495.3 feet

Step-by-step explanation:

delta math i got the problem wrong and it gave me the right answer

Final answer:

To find the length of KL in ΔKLM with a 90° angle at M and a 10° angle at K, we use the sine function with the given hypotenuse length of 86 feet. Calculating sin(10°) times 86 gives approximately 14.9296 feet, which rounds to 14.9 feet.

Explanation:

To find the length of KL to the nearest tenth of a foot in ΔKLM, where ∠M equals 90°, ∠K equals 10°, and LM is 86 feet, we can use trigonometry.

Since LM is the hypotenuse and we want to find KL, which is the side opposite ∠K, we will use the sine function:

Calculating this we get:

This provides us with the length of KL in the triangle.

Answer:

C because they won't know unless they know what Michael has

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

To solve, we need to isolate the variable, x by getting all the numbers to one sides and the variables to the other

8x-3=3x+17

Subtract 3x from both sides

8x-3x-3=3x-3x+17

5x-3=17

Add 3 to both sides

5x-3+3=17+3

5x=20

Divide both sides by 5

5x/5=20/5

x=4

△ABC  right angle C, leg BC > leg AC.  So angle A > angle B.

a=BC, b=AC, c=AB

a > b

sin A= cos B = a/c

sin B = cos A = b/c

a = c sin A = c cos B

b = c sin B = c cos A

a > b

c sin A > c sin B

sin A > sin B

c cos B > c cos A

cos B > cos A

Answer:  B, E

Final answer:

In a right-angled triangle △ABC with BC > AC, it is true that m∠B > m∠A, sin A < sin B, and cos A > cos B. These correspond to choices A, C, and D.

Explanation:

In the context of triangle △ABC where angle C is a right angle and BC > AC, we can assess the truth of various statements regarding the angles and their sine and cosine values:

m∠B > m∠A: This statement is true because in a right-angled triangle the side opposite the right angle is the hypotenuse and is the largest side. Therefore, the angle opposite the longest side (BC) must be the largest acute angle, hence m∠B > m∠A.

sin A > sin B: This statement is false. Since m∠B > m∠A and sine of an angle increases with the angle's magnitude (for acute angles), it must be that sin A < sin B.

sin A < sin B: This statement is true based on the relationship of the sides and angles mentioned earlier.

cos A > cos B: This statement is true. Since m∠B > m∠A and cosine of an angle decreases as the angle's magnitude increases (for acute angles), it must be that cos A > cos B.

cos A < cos B: This statement is false for the same reason that cos A > cos B is true.

The correct statements are therefore A, C, and D.

Answer: 7

Step-by-step explanation:

x=3 y=2x+1

Y= 2(3)+1

Answer:

y=7

Step-by-step explanation:

We want to find y when x equals 3, so we can substitute 3 in for x

y=2x+1

y=2(3)+1

Multiply

y=6+1

Add

y=7

Answer:

The value of m is [tex]-\frac83[/tex].

Step-by-step explanation:

If two vectors [tex]\vec A[/tex] and [tex]\vec B[/tex] are perpendicular to each other then their dot product will be zero i.e [tex]\vec A.\vec B=0[/tex]

If two vectors [tex]\vec A[/tex] and [tex]\vec B[/tex] are parallel to each other then their cross product will be zero i.e [tex]\vec A\times\vec B=\vec 0[/tex]

Given vectors are a= (3,4) and b=(m,2)

The position vector of [tex]\vec a[/tex]  is =[tex]3 \hat i+4\hat j[/tex]

The position vector of [tex]\vec b[/tex]  is =[tex]m \hat i+2\hat j[/tex]

Since [tex]\vec a[/tex] and [tex]\vec b[/tex] are perpendicular.

Then,

[tex]\vec a. \vec b=0[/tex]

[tex]\Rightarrow (3\hat i+4\hat j).(m\hat i+2 \hat j)=0[/tex]

⇒3.m +4.2=0

⇒3m+8=0

⇒3m= -8

[tex]\Rightarrow m=-\frac 83[/tex]

The value of m is [tex]-\frac83[/tex].

Answer:

I need the work please

Step-by-step explanation:

Answer:

I think its b.

Step-by-step explanation: If he already has 197 then he would need to add an amount of money in this case n=232 so if you do 197 plus 232 you would get 429. Hope this helps

Answer: When humans urbanize an area they

Step-by-step explanation: I think this because before people urbanized the place it was probably like a rural place or suburban. When you urbanize a place you might be taking a person or an  animals homeland away and that can be a bad impact on them.

Answer and Step-by-step explanation:

A system of equations is a group of equations that need to be manipulated in some way that will figure out the values of the variables.

The most common system of equations seen is a system of linear equations, which means that the degree of the variables is no more than 1. These can be solved using elimination, substitution, or even graphing, if applicable.

Hope this helps!

Answer:

A system of equations is 2 or more equations that need to be solved. When you solve a system of equations, the answer is where the equations intersect on a graph. Sometimes there is 2 solutions (equations intersect twice), 1 solution (equations intersect once), no solution (equations don't intersect), or infinite solutions ( equations are the same).

They are usually solved using substitution, elimination, or simply looking at a graph to see where the lines intersect.

Some examples:

2x+3y=15

x-3y=3

y=x^2+1

2x-y= -4

Answer:

3

Step-by-step explanation:

write them out least to greatest-      1 2 3 4 5

then mark out one at a time from front and back-   1 2 3 4 5

then you get one number and that number is 3

Answer:

3

Step-by-step explanation:

Process for finding median:

1. Line the numbers in order from least to greatest.

2. Find the middle number --> it is the median.

3. If there are two middle numbers, find their average. In other words, add the two numbers together and divide your answer by 2.

Hope this helps!

Answer:

There are no solutions.

Step-by-step explanation:

If x + y equals 6, x + y cannot equal 4 (and vice versa) no matter what values are plugged in. Therefore, there are no solutions.

def: -in an isosceles triangle two of its angles measure the same

- the sum of all angles in a triangle is 180°

case1: if angle a measures the same with another angle in the triangle

=>angle1=56

angle2=180-2*56=180-112=68°

from this case we extract 2 posibilities:

B=56° or B=68°

case2: if the other 2 angles beside a measure the same

angle1=angle2=(180-56)/2=62°

from this case we e extract one posibility:

B=62°

Final answer:

In an isosceles triangle ABC with angle A equal to 56 degrees, three possible values for angle B are 68 degrees if it is the vertex angle, and 56 degrees or 62 degrees if it is one of the base angles.

Explanation:

If triangle ABC is an isosceles triangle with angle A (a) equal to 56 degrees, we can work out three possible values of angle B using the properties of an isosceles triangle and the fact that the sum of angles in any triangle is 180 degrees.

Since triangle ABC is isosceles, two of its angles are equal. If angle A is one of the two equal angles, then angle B (which is the vertex angle) is given by:

If angle B is one of the two equal angles, then we have two cases:

In the first case where angle B equals angle A (56 degrees), then the other base angle (angle C) must also be 56 degrees, and the remaining vertex angle B would be 180° - 56° - 56°, which is 68 degrees.

In the second case, where B is the vertex angle:

This gives us the same value for angle B as in the first case since both result in the same configuration.

Finally, if angle B is one of the two base angles and equal to angle C, then B would be (180° - A) / 2:

So, three possible values for angle B are 68 degrees, 56 degrees (if B is one of the base angles), and 62 degrees (again, if B is a base angle).