What are the values of a1 and r of the geometric series? 2 â€"" 2 2 â€"" 2 2.

Answer:

\(1. m_ADC=3x+10 and m~BC=2X-30,what is m™AC2. m2BDC=3(x-5) and m--BC=x+25,what is MZA3. m2A= 1/2 (x-10)and m_C=1/3 x+5,find m-BC4. if m(BC)=4x-6 and m_C=x+10,waht is m_BDC?\)

Step-by-step explanation:

Answer:

Step-by-step explanation:

25, i think

The two-column proof are:

The angle WXV is congruent to angle YXZ

Triangle WXV congruent triangle YXZ

In this question, we are given;

X as the midpoint of line segment WY and line segment VZ

Therefore, it is correct for us to conclude that;

segment XZ is congruent to segment XV, segment XW is congruent to segment XY

Thus, angle WXV is congruent to angle YXZ

Triangle WXV congruent triangle YXZ

We then conclude that;

VW = ZY

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Answer:

The distance is 29.3 feet

Step-by-step explanation:

Here, we want to find the distance from the diving board to the bottom of the pool

To get this, we will need to add the height of the diving board above the ground plus the distance of the bottom of the pool below the ground

Mathematically, we can have this as:

12.4 + 16.9

= 29.3 feet

Therefore , it means if an equation have 2 roots , it means it is a quadratic function .

A number's  root is that factor of the number that, when multiplied by itself, yields the original number. Specifically, squares and square roots are exponents. Think of the number nine. This can be expressed as  or as 3 x 3.

Here,

If an equation have 2 roots , it means it is a quadratic function

If D=0, a quadratic function has two roots that are equal.

D (discriminant) = 0

=>b24ac=0 is required for a polynomial function to have equal roots.

Therefore , it means if an equation have 2 roots , it means it is a quadratic function .

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The volume of the given prism is 168 cubic meters. It's important to note that the units of the measurements provided (m) are in meters. So the resulting volume is in cubic meters (m³).

To find the volume of a prism, we need to multiply the area of the base by the height. In this case, the given prism has a base that measures 7 m by 4 m and a height of 6 m.

Step 1: Calculate the area of the base. The base of the prism is a rectangle, so the area is found by multiplying the length (7 m) by the width (4 m).

Area of the base = length × width

              = 7 m × 4 m

              = 28 m²

Step 2: Multiply the area of the base by the height of the prism to find the volume.

Volume of the prism = Area of the base × height

                  = 28 m² × 6 m

                  = 168 m³

Therefore, the volume of the given prism is 168 cubic meters.

It's important to note that the units of the measurements provided (m) are in meters. So the resulting volume is in cubic meters (m³). The volume represents the amount of space enclosed by the prism. In this case, the prism has a length of 7 m, width of 4 m, and height of 6 m, resulting in a volume of 168 cubic meters.

Remember to always include the appropriate unit of measurement when expressing the volume or any other quantity.

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The smallest sample observation can be increased by any value up to 0.1 without affecting the value of the sample median.

To find the maximum amount by which the smallest sample observation can be increased without affecting the sample median, we need to consider the definition of the median.

The median is the middle value in a sorted dataset. If the dataset has an odd number of observations, the median is the middle value. If the dataset has an even number of observations, the median is the average of the two middle values.

Since the current smallest sample observation is 8.5, increasing it by any value up to 0.1 would still keep it smaller than any other value in the dataset. This means the position of the smallest observation would not change in the sorted dataset, and therefore, it would not affect the value of the sample median.

The smallest sample observation can be increased by any value up to 0.1 without affecting the value of the sample median.

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A region in the first quadrant defined by the x-axis, the graph of x=y2+2, and the line x=4 is called R then the area of R be \($-\frac{2 \sqrt{2}}{3}+2 \sqrt{2}$$\)

A parabola is a U-shaped plane curve in which every point is situated at an equal distance from both the focus, a fixed point, and the directrix, a fixed line. A parabola is a U-shaped curve that represents the graph of a quadratic function.

Students are able to fill in the gap between the mathematics they learn in class and the things they see in real life by drawing a comparison between the equation of a parabola and a shape found in the real world (the parabaloid). They can conceive difficult ideas that they might otherwise find repugnant by doing this.

Sketch the graph of \($x=y^2+2$\) by sketching the sideways parabola \($x=y^2$\) then adding 2 to the x coordinates (translate 2 to the right).

Add the x axis and the vertical line x = 4.

The area can be found by either

\($\int_2^4 \sqrt{x-2} d x$$\) or \($\int_0^{\sqrt{2}}\left(4-\left(y^2+2\right)\right) d x$$\)

\($=\int_0^{\sqrt{2}}-x^2+2 d x$$\)

Apply the Sum Rule: \($\int f(x) \pm g(x) d x=\int f(x) d x \pm \int g(x) d x$\)

\($=-\int_0^{\sqrt{2}} x^2 d x+\int_0^{\sqrt{2}} 2 d x$$\)

simplifying the equation, we get

\($\int_0^{\sqrt{2}} x^2 d x=\frac{2 \sqrt{2}}{3}$$\)

\($\int_0^{\sqrt{2}} 2 d x=2 \sqrt{2}$$\)

\($=-\frac{2 \sqrt{2}}{3}+2 \sqrt{2}$$\)

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Answer:

160 square inches

Step-by-step explanation:

step1 : find the area of the square base;

A = 8×8

=64 square inches

step2 : find the are of the triangle:

A=1/2×base×height

=1/2×8×6

=24 square inches

step3 : there are 4 triangles, so you need to find the total area of the 4 triangles:

A=24×4

=96 square inches

step4 : add the area of the square base and total area of the triangles:

A = 64+96

=160 square inches (Ans)

Answer:

2:40 p.m.

Step-by-step explanation:

SHEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEESH

The smaller number is 28.

Answer:

Solution Given:

let the smaller number be a.

and larger number be a+4.

By question

a+(a+4)=60

a+a+4=60

2a=60-4

2a=56

a=\( \frac{56}{2} \)

a=28

Answer:

y = 28

Step-by-step explanation:

Given variables:

Create two equations with the given information.

Equation 1

If one number is 4 more than another, then:

⇒ x = y + 4

(Remembering that x is the larger number and y is the smaller number).

Equation 2

If their sum is 60, then:

⇒ x + y = 60

Substitute Equation 1 into Equation 2 and solve for y:

⇒ (y + 4) + y = 60

⇒ 2y + 4 = 60

⇒ 2y + 4 -4 = 60 - 4

⇒ 2y ÷ 2 = 56 ÷ 2

⇒ y = 28

Therefore, the value of the smaller number (y) is 28.

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Answer:

number of adult shirts sold (a) = 20

number of youth shirts sold (b) = 10

Step-by-step explanation:

a = number of adult shirts sold

y = number of youth shirts sold

30 = a + y

$324.50 = 11.50a + 9.45y

This is the resulting system of equations from the given information in the problem.

Solve for y in the first equation and then substitute the equation for y into the second equation :

a+y=30 --> y=30-a

324.50 = 11.50a + 9.45(30-a)

Solve for a.

324.50 = 11.50a + 283.5 - 9.45a

41 = 2.05a

a = 20

Now that we have solved for a, we can back substitute into our equation for y and solve.

y=30-(20)

y = 10

CHECK:

(20)+(10) = 30 True

(11.50)(20) + (9.45)(10) = 324.5  True

Answer:

4

Step-by-step explanation:

420km

The correct radius of the cylinder is given by: Option B: 3.04 cm

The formula for the volume of a cylinder is given by the formula:

V = πr²h

where:

V is volume

r is radius

h is height

We are given the parameters as:

Height: h = 12.25 cm

Volume: V = 355 cm³

Thus:

355 = π * r² * 12.25

r² = (355)/(12.25π)

r² = 9.2245

r = √9.2245

r = 3.04 cm

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- Bernardo wins the game.
- The smallest initial number that results in a win for Bernardo is .
- The sum of the digits of n is .

To find the smallest initial number that results in a win for Bernardo, we need to analyze the game step by step.

Let's assume the initial number given to Bernardo is x.
1. Bernardo doubles x, resulting in 2x.
2. Silvia adds to 2x, resulting in 2x+ .
3. Bernardo doubles 2x+ , resulting in 4x+ .
4. Silvia adds to 4x+ , resulting in 4x+ .
5. This pattern continues until one of the players produces a number less than .

Since Bernardo wins the game, the last number produced by Silvia must be greater than or equal to .
Let's assume the last number produced by Silvia is n.
Since the last number produced by Bernardo would be 2n, we can write the following inequality:
2n <

To find the smallest value of n, we substitute 2n with in the inequality:
2n <
2n <
n <

Therefore, the smallest value of n is .
To find the sum of its digits, we add the digits: + + = .

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Answer:

111.1666667 is the answer I believe (๑・ω-)～♥”

9514 1404 393

Answer:

  c.  x = 1

Step-by-step explanation:

c. The Pythagorean theorem applies. The square of the hypotenuse is the sum of the squares of the other two sides.

  2² = x² +(√3)²

  4 = x² +3

  1 = x² . . . . . . subtract 3

  1 = x . . . . . . . take the square root

Answer:

B

Step-by-step explanation:

well if we draw the graph we have the following image, and the only one that applies is

B

because 4>3

Answer:

x=7

m<2=33

Step-by-step explanation:

4x+5=5x-2

5+2=5x-4x

7=x

m<2=4x+5

m<2=4×7+5

m<2=28+5=33

Answer:

see explanation

Step-by-step explanation:

(a)

play ends at 9 : 55 pm

15 minutes to get to bus stop , then time is

9 : 55 + 15 min = 10 : 10 pm = 22 : 10

the earliest bus she can catch is 22 : 25

(b)

time to wait 22 : 10 → 22 : 25 = 15 minutes

Answer:

Franklin sold 5x bars.

Step-by-step explanation:

Franklin Sells 5x bars. I assume the question is asking for an expression with the usage of X instead of an actual value or when that is attainable. If there's any more information that you can provide, let me know and I'll redo the problem.

SSS congruence rules states that if three sides of one triangle are equal to the three sides of another triangle, then the two triangles are congruent.

The SSS (Side-Side-Side) congruence rule states that if three sides of one triangle are equal to the three sides of another triangle, equal, and the two triangles share the same dimensions then the two triangles are congruent. This means that all of the angles and sides of the two triangles are In order for two triangles to be congruent according to the SSS congruence rule, the lengths of the three corresponding sides of the two triangles must be equal. If all three of these conditions are met, then the two triangles are congruent and can be used to solve a variety of geometric problems.

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The SSS congruence rule is rule that is used to prove two triangles congruent . Its full form is Side-Side-Side Congruence .

The Two Triangles can be called as  Congruent Triangles if their sides have same length and the angles also have the same measure.

One of the 4 rules in proving the triangles congruent is SSS .

The SSS Congruence Rules also called as (Side-Side-Side) Rule means that if all the three sides of one triangle are equal to the corresponding three sides in the other triangle ,

then we can say that the two triangles are congruent by SSS (Side-Side-Side) Rule .

Therefore , The SSS Congruence rule means Side-Side-Side Congruence .

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Answer:

s×s=169

find the square root of both sides

s=13

xsquared=26

Answer:

y = 4x + 16 (fourth answer choice)

Step-by-step explanation:

From the given equation we can immediately discern that the slope of these lines is 4 (as they are parallel).

Starting with the slope-intercept formula y = mx + b, we get:

32 = 4(4) + b, or 16 = b, or y = 4x + 16

The answer is no. The Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third.

Answer:

No

Step-by-step explanation:

Because you have to add the smallest ones which are 3 and 16 if u add them up it = 19 and you cant have 19 , 19 you have to have the smallest numbers ADD UP Greater Than the biggest number, when its equal to itself it doesn't form a triangle because the lengths are short by 1 please tell me if u need more help

The distributive property is used to solve the given problem,

Given

Equation; \(\rm -8(x-3y-9) = -8x+24y+72\)

The distributive property says that the sum of two or more addends multiplied by a number gives you the same answer as distributing the multiplier, multiplying each addend separately, and adding the products together.

Therefore,

By applying distributive property in the equation;

\(\rm -8(x-3y-9) \\\\ =- 8 \times x+(-8)\times (-3y)-8\times (-9)\\\\= -8x+24y+72\)

Hence, the distributive property is used to solve the given problem,

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Answer:

c) ✨the distributive property ✨

Step-by-step explanation:

Answer:

you should put negative 5 on the x axis and negative 4 on the y axis

Step-by-step explanation:

Answer:

(-5, 4)

When reflecting across the Y-Axis the X coordinate changes and the Y stays the same

Answer:

3) -4

Step-by-step explanation:

Hi there!

2x + 4y = -16

The y-intercept occurs when x=0. Replace x with 0 and solve for y:

2(0) + 4y = -16

4y = -16

y = -4

Therefore, the y-intercept is -4.

I hope this helps!

The only energy released as a result is equal to two ATP molecules. Organisms can turn glucose into carbon dioxide when oxygen is present. As much as 38 ATP molecules' worth of energy is released as a result.

Why do aerobic processes generate more ATP?

Anaerobic respiration is less effective than aerobic respiration and takes much longer to create ATP. This is so because the chemical processes that produce ATP make excellent use of oxygen as an electron acceptor.

How much ATP is utilized during aerobic exercise?

As a result, only energy equal to two Molecules of ATP is released. When oxygen is present, organisms can convert glucose to carbon dioxide. The outcome is the release of energy equivalent to up of 38 ATP molecules. Therefore, compared to anaerobic respiration, aerobic respiration produces a large amount more energy.

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