Solve using the quadratic formula. Choose all the correct responses.
X^2+ 10x + 22 = 0

\(f(x) = 2x is linear.f(x) = 4^x is exponential.\) This is where at each level, each branch extends into 4 branches.

In the first prompt, the number of boxes in each row is increasing by a constant amount, so the function is linear. In the second prompt, the number of branches is increasing by a factor of 4 with each level, so the function is exponential.

A linear function is defined as one where the output increases by a constant amount for each increase in the input. An exponential function is defined as one where the output increases by a constant factor for each increase in the input. The first prompt corresponds to a linear function, while the second prompt corresponds to an exponential function.

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The complete question is-

Is the function f(x) = 4^x, where x is the number of branches at level x in a tree diagram, linear or exponential? Explain your answer.

Answer:

149.3

Step-by-step explanation:

First, divide your problem up into parts

A. Area of Rectangle

Can be found by A= w*l

We can find width by taking the radius of the semicircle and doubling it, which will give us 10. 10*11=110

B. Area of semi-circle.

This can be found by taking the area of a circle. A=πr^2

And dividing it by 2

Which is (3.14*(5)^2)/2

39.27

C. Add the areas together

149.3

Answer:

D

Step-by-step explanation:

Answer:

34

Step-by-step explanation:

3rd and 5th square numbers means 3² and

5² .

so we know 3² is another word of saying 3×3

3×3=9

5×5=25

9+25=34

Answer:

d

Step-by-step explanation:

Step-by-step explanation:

therefore, the correct option should be A.

Step-by-step explanation:

girls:boys

3:1

total=400

1/3 × 400

400/3

=133.33

to whole number

=133 boys

Answer:

The correct answer is 100

Answer:

x=10

Step-by-step explanation:

since there are 3 zeroes in 1,000

x is 10

because 10^3=1000

Answer:

10

Step-by-step explanation:

Answer:

17.32%

Step-by-step explanation:

markup = selling price - cost / cost

= 25750 - 21950 / 21950

= 3800 / 21950

= 0.1731207...

17.32%

The percentage markup is 17.31%.

The correct option is C.

To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.

We have,

A new car has a sticker price of $25,750.

Invoice price = $21, 950.

So, the percent markup

= (25750 - 21950)/ 21950

= 3800 / 21950 x 100

= 0.1731 x 100

= 17.31%

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Answer:

\(B =102\)

\(Y = 32\)

Step-by-step explanation:

Solving (47):

To solve for B, we have:

\(B + 50 + 28 = 180\) --- sum of angles in a triangle

This gives

\(B + 78 = 180\)

Collect like terms

\(B =- 78 + 180\)

\(B =102\)

Solving (48):

To solve for Y, we have:

\(X + Y+ Z = 180\) --- sum of angles in a triangle

This gives

\(Y = 180 - X - Z\)

Where

\(W+ X=180\) -- angle on a straight line

Solve for X

\(X=180 -W\)

\(X=180 -100 = 80\)

So, we have:

\(Y = 180 - X - Z\)

\(Y = 180 - 80 - 68\)

\(Y = 32\)

Answer:

Attached is an example of a circle with a radius of 5 and a diameter of 10.

If this answer helped you, please leave a thanks or a Brainliest!!!

Have a GREAT day!!!

The possible values of TP in isosceles triangle are between 5.5 and infinity.

Let TP = x. Then we have:

TI = TP = x (isosceles triangle)

PI = TP - PI = x - 7 (isosceles triangle)

PO = TP + OP = x + 11 (triangle inequality)

Using the fact that the sum of any two sides of a triangle must be greater than the third side, we have:

x + x > 11 --> x > 5.5

x + 11 > x --> 11 > 0

x + 7 > 5 --> x > -2

Therefore, the possible values of x are between 5.5 and infinity. The sum of all possible values of x is infinity since there is no upper bound on the possible values.

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_____The given question is incomplete, the complete question is given below:

Suppose triangle TIP and triangle TOP are isosceles triangles. Also suppose that TI=5, PI=7, and PO=11. What is the sum of all possible lengths for TP?

Answer:

Correct me if i am wrong but i believe it is 126

Step-by-step explanation:

Angle BOC = 252 (angles around a point = 360 so 360-108 =252)

x=126 (The ange at the centre of a circle is twice the size the angle at the circumference. 252 is at the centre and x is at the circumference so 252/2 = 126)

Finn would run 18 miles after 6 track practices.

We have,

Generally, A unit rate is a ratio of two measurements with a denominator of 1. To find the number of miles Finn would run after 6 track practices, we can use the unit rate of miles per practice to multiply by the number of practices.

Unit rate: 6 miles / 2 practices = 3 miles per practice

To find the total number of miles Finn would run after 6 practices, we can multiply the unit rate of 3 miles per practice by the number of practices, 6.

Total miles: 3 miles/practice * 6 practices = 18 miles

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Answer:

The pairs of fractions that are equivalent to 3/4 and 7/10 are 12/16 that is equivalent to 3/4 and that 7/10 are equivalent to 14/20

Step-by-step explanation:

Answer:

picture? (170

Step-by-step explanation:

The volume of the sphere is approximately 3431.82 cubic miles.

To find the volume of a sphere, we need the radius of the sphere. The length of a great circle is the circumference of the sphere, which is related to the radius by the formula C = 2πr, where C is the circumference and r is the radius.

In this case, we are given that the length of the great circle is 60 miles. We can use this information to find the radius of the sphere.

C = 2πr

60 = 2πr

Divide both sides of the equation by 2π:

r = 60 / (2π)

r = 30 / π

Now that we have the radius, we can use the formula for the volume of a sphere:

V = (4/3)πr³

V = (4/3)π(30/π)³

V = (4/3)π(27000/π³)

V = (4/3)π(27000/π³)

V = (4/3)π(27000/π³)

V = (4/3)(27000/π²)

V = (4/3)(27000/9.87) (approximating π to 3.14)

V ≈ 3431.82 cubic miles

Therefore, the volume of the sphere is approximately 3431.82 cubic miles.

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Question

You are given the great circle of a sphere is a length of 60 miles. What is the volume of the sphere?

Given:

To make a lemonade recipe, 6 lemons are required to make 10 cups of lemonade.

Aim:

We need to find the rate of cubs of lemonade per lemon.

Explanation:

Divide both sides by 10.

Final answer:

Hence 3/5 rate of lemons being used in cups of lemonade per lemon.

The length of side X in simple radical form with a rational denominator is 10/√3.

In Mathematics and Geometry, a 30-60-90 triangle is also referred to as a special right-angled triangle and it can be defined as a type of right-angled triangle whose angles are in the ratio 1:2:3 and the side lengths are in the ratio 1:√3:2.

This ultimately implies that, the length of the hypotenuse of a 30-60-90 triangle is double (twice) the length of the shorter leg (adjacent side), and the length of the longer leg (opposite side) of a 30-60-90 triangle is √3 times the length of the shorter leg (adjacent side):

Adjacent side = 5/√3

Hypotenuse, x = 2 × 5/√3

Hypotenuse, x = 10/√3.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

The length of arc RS on circle X is 17.99 centimeters.

To find the length of arc RS on circle X, we need to calculate the circumference of the entire circle and then determine what portion of the circumference is represented by the central angle of 110 degrees.

The circumference of a circle is given by the formula C = 2πr, where r is the radius. In this case, the radius of circle X is 9 centimeters, so the circumference is C = 2π(9) = 18π centimeters.

To find the length of arc RS, we need to determine what fraction of the entire circumference is represented by the central angle of 110 degrees. A full circle has 360 degrees, so the fraction of the circumference represented by the central angle is 110/360.

To find the length of arc RS, we multiply the fraction of the circumference by the total circumference of the circle. Therefore, the length of arc RS is (110/360) * 18π.

Simplifying the expression, we have (110/360) * 18π = (11/36) * 18π.

Canceling out the common factors, (11/36) * 18π = (11/2)π.

Now, we can approximate the value of π as 3.14. Therefore, the length of arc RS is (11/2) * 3.14.

Calculating the approximate value, we have (11/2) * 3.14 ≈ 17.99 centimeters.

Therefore, the approximate length of arc RS on circle X is approximately 17.99 centimeters.

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Answer: The matrix A of the linear transformation T(f(t)) = f''(t) + 3f'(t) + 7f(t) from the space spanned by the functions cos(t) and sin(t) into itself with respect to the basis {cos(t), sin(t)} can be found by computing the images of the basis vectors under T and expressing those images as linear combinations of the basis vectors.

We have:

T(cos(t)) = -cos(t)'' - 3cos(t)' - 7cos(t) = -cos(t) - 3(-sin(t)) - 7cos(t) = -8cos(t) - 3sin(t)

T(sin(t)) = -sin(t)'' - 3sin(t)' - 7sin(t) = -sin(t) - 3cos(t) - 7sin(t) = -8sin(t) + 3cos(t)

So, with respect to the basis {cos(t), sin(t)}, the matrix A is:

A = [ -8, -3; 3, -8 ]

This is the matrix representation of the linear transformation T with respect to the basis {cos(t), sin(t)}.

Step-by-step explanation:

Answer: 1/2 i think?

Given:

Number of oranges picked = 45

Number of minutes = 5 minutes

To find the number of oranges she will pick per minute, we have:

Therefore, at this rate, Malik will pick 9 oranges per minue.

ANSWER:

9 oranges

Answer:

\( \boxed{ \bold{ \huge{ \boxed{ \sf - 4x + 19}}}}\)

Step-by-step explanation:

\( \sf{5(x + 3) - (9x - 4)}\)

Distribute 5 through the parentheses

⇒\( \sf{5x + 15 - (9x - 4)}\)

When there is a ( - ) in front of an expression in parentheses, change the sign of each term in the expression. Also, remove the parentheses

⇒\( \sf{5x + 15 - 9x + 4}\)

Collect like terms

⇒\( \sf{5x - 9x + 15 + 4}\)

⇒\( \sf{ - 4x + 15 + 4}\)

Add the numbers : 15 and 4

⇒\( \sf{ - 4x + 19}\)

Hope I helped!

Best regards!!

Answer:

4

Step-by-step explanation:

The integers are

x

x+1

x+2

x+3

x+4

since they are consecutive

The largest is x+4

The smallest is x

Difference is

x+4 -x

4

Answer:

Step-by-step explanation:

If the least integer is n, it means the five consecutive integers are:

n,n+1,n+2,n+3,n+4

Summing all integers we have:

n + n+1+n+2+n+3+n+4

=5n+10

The mean of this integers is

5n+10 /5 =19

5n+10=19*5

5n + 10 = 95

5n = 95 - 10

5n =85

n=85/5=17

The smallest of the integer is n= 17

The largest integer is n + 4 =17+4=23

The difference between the least and largest integer would be;

Is 4

The sum of largest integer and the smallest integer is 23 + 17 = 40

Derrick and Janis together plant a total of 30 + 90 = 120 strawberry plants on the first day.

To find out how many strawberry plants Derrick and Janis planted on the first day, we need to calculate the sum of the plants they individually planted.

Derrick planted 20% of the 150 strawberry plants:

20% of 150 = (20/100) * 150 = 30 strawberry plants.

Janis planted 60% of the 150 strawberry plants:

60% of 150 = (60/100) * 150 = 90 strawberry plants.

Therefore, on the first day, Derrick and Janis planted a total of 30 + 90 = 120 strawberry plants.

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