Patricia jumped 5 times in 12 minutes. At that rate, how many times
would she jump in 8 hours?
Tahol nntinnal

When we divide 5 by 6, we have a proper fraction:

Answer: proper fraction

The fraction is 5/6

Answer:

B 55x + 65 = 296; x = 4.2 hours

Step-by-step explanation:

The equation to determine the number of hours worked by the plumber is 65 + 55x = 296.

The number of hours worked by the plumber is 4.2

Option B is the correct answer.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

We have,

Charges for home visit = $65

Charges for each hour = $55

Let the number of hours = x

Total charges = $296

We can make an equation:

65 + 55x = 296

The number of hours can be calculated.

65 + 55x = 296

Subtracting 65 on both sides.

65 + 55x - 65 = 296 - 65

55x = 231

Dividing both sides by 55.

x = 231 / 55

x = 4.2

Thus,

The equation to determine the number of hours worked by the plumber is 65 + 55x = 296.

The number of hours worked by the plumber is 4.2

Option B is the correct answer.

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Answer:

2

Step-by-step explanation:

5+(-3)=2

HOPE THIS HELPS

Answer:

2

Step-by-step explanation:

5+(-3) =2

pls brainliest

The height of the triangle is given as follows:

\(h = 2\sqrt{3}\) cm.

The area of the triangle is given as follows:

\(A = 4\sqrt{3}\) cm².

The Pythagorean Theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.

The theorem is expressed as follows:

c² = a² + b².

In which:

Considering an equilateral triangle, in which all the side lengths are of 4, we have a right triangle in which:

Hence the height is obtained as follows:

h² + 2² = 4²

h² = 12

\(h = \sqrt{3 \times 4}\)

\(h = 2\sqrt{3}\) cm

The area of a triangle is given as half the multiplication of the base and of the height, hence:

\(A = 0.5 \times 4 \times 2 \sqrt{3}\)

\(A = 4\sqrt{3}\) cm².

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Answer:

Step-by-step explanation:

Answer:

(i) In △ABD and △ACD,

AB=AC ....(since △ABC is isosceles)

AD=AD ....(common side)

BD=DC ....(since △BDC is isosceles)

ΔABD≅ΔACD .....SSS test of congruence,

∴∠BAD=∠CAD i.e. ∠BAP=∠PAC .....[c.a.c.t]......(i)

(ii) In △ABP and △ACP,

AB=AC ...(since △ABC is isosceles)

AP=AP ...(common side)

∠BAP=∠PAC ....from (i)

△ABP≅△ACP .... SAS test of congruence

∴BP=PC ...[c.s.c.t].....(ii)

∠APB=∠APC ....c.a.c.t.

(iii) Since △ABD≅△ACD

∠BAD=∠CAD ....from (i)

So, AD bisects ∠A

i.e. AP bisects∠A.....(iii)

In △BDP and △CDP,

DP=DP ...common side

BP=PC ...from (ii)

BD=CD ...(since △BDC is isosceles)

△BDP≅△CDP ....SSS test of congruence

∴∠BDP=∠CDP ....c.a.c.t.

∴ DP bisects∠D

So, AP bisects ∠D ....(iv)

From (iii) and (iv),

AP bisects ∠A as well as ∠D.

(iv) We know that

∠APB+∠APC=180

∘

....(angles in linear pair)

Also, ∠APB=∠APC ...from (ii)

∴∠APB=∠APC=

2

180

∘

=90

∘

BP=PC and ∠APB=∠APC=90

∘

Hence, AP is perpendicular bisector of

Step-by-step explanation:

HOPE ITS HELP YOU

The vector parallel is (2, -4, 7).

The t-value where r(t) and r'(t) are orthogonal is t = -32/69.

Your curve C is described by the vector-valued function r(t) = (1 + 2t, 3 - 4t, 6 + 7t).
To find a vector parallel to the curve when t = 1, you need to calculate the derivative of the vector-valued function with respect to t, which gives you the tangent vector at a given point on the curve.

The derivative is found by taking the derivative of each component:
r'(t) = (d(1+2t)/dt, d(3-4t)/dt, d(6+7t)/dt) = (2, -4, 7)

Now, evaluate r'(t) at t = 1:
r'(1) = (2, -4, 7)
So, a vector parallel to the curve when t = 1 is (2, -4, 7).

To find all t-values where r(t) and r'(t) are orthogonal, you need to determine when the dot product of r(t) and r'(t) equals zero, since two vectors are orthogonal when their dot product is zero:
r(t) • r'(t) = (1+2t)(2) + (3-4t)(-4) + (6+7t)(7) = 0

Solving for t:
2(1+2t) - 4(3-4t) + 7(6+7t) = 0
2 + 4t - 12 + 16t + 42 + 49t = 0
69t + 32 = 0
t = -32/69

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The points A(-1,1), B(1,2), and C(-3,5) form the vertices of a right triangle, with angle A being 90 degrees. By plotting these points on a coordinate plane, we can visually observe the right triangle formed.

To plot the points A(-1,1), B(1,2), and C(-3,5), we can use a coordinate plane. The x-coordinate represents the horizontal position, while the y-coordinate represents the vertical position.

Plotting the points, we place A at (-1,1), B at (1,2), and C at (-3,5). By connecting these points, we can observe that the line segment connecting A and B is the base of the triangle, and the line segment connecting A and C is the height.

To verify that angle A is 90 degrees, we can calculate the slopes of the two line segments. The slope of the line segment AB is (2-1)/(1-(-1)) = 1/2, and the slope of the line segment AC is (5-1)/(-3-(-1)) = 2. Since the slopes are negative reciprocals of each other, the two line segments are perpendicular, confirming that angle A is a right angle.

By visually examining the plotted points, we can confirm that A(-1,1), B(1,2), and C(-3,5) form the vertices of a right triangle with angle A being 90 degrees.

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Answer:

5. find x= 32

6. find < C = 23

find c =

find a =

Sorry wish I could help more I need to learn more about this chapter in math.

The vertex of the parabola represented by the equation -3x² - 12x - 23 = y - 8 is (-2, -63).

To find the vertex of the parabola using completing the square, we can rewrite the equation in the form:

\(y = a(x - h)^2 + k\)

Where (h, k) represents the coordinates of the vertex.

Let's complete the square for the given equation:

\(-3x^2 - 12x - 23 = y - 8\)

First, we'll move the constant term to the right side of the equation:

\(-3x^2 - 12x = y - 8 + 23\\-3x^2 - 12x = y + 15\)

Next, we'll factor out the coefficient of \(x^2 (-3)\) from the first two terms:

\(-3(x^2 + 4x) = y + 15\)

To complete the square, we need to take half of the coefficient of x (4), square it (16), and add it inside the parentheses. However, since we added it inside the parentheses, we need to subtract 16 * (-3) from the right side to maintain the equality:

\(-3(x^2 + 4x + 4) = y + 15 - 16 * (-3)\\-3(x + 2)^2 = y + 15 + 48\\-3(x + 2)^2 = y + 63\\\)

Now, we can rewrite the equation in the vertex form:

\(y = -3(x + 2)^2 - 63\)

Comparing this with the vertex form equation: \(y = a(x - h)^2 + k\), we can see that the vertex is at the point (-2, -63).

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The vertex of the parabola is (-2, -19).

To find the vertex of the parabola given by the equation \(-3x^2 - 12x - 23 = y - 8\), we can complete the square. The general form of a quadratic equation is \(y = ax^2 + bx + c,\) where (h, k) represents the vertex of the parabola.

First, let's rewrite the equation in the standard form:

\(-3x^2 - 12x + 15 = y.\)

Now, we can complete the square. To do this, we need to take half of the coefficient of x (-12) and square it: \((-12/2)^2 = 36.\)

Add 36 to both sides of the equation: \(-3x^2 - 12x + 15 + 36 = y + 36.\)

Simplify: \(-3x^2 - 12x + 51 = y + 36.\)

Now, we can rewrite the equation in vertex form by factoring the left side: \(-3(x^2 + 4x - 17) = y + 36.\)

Next, we complete the square within the parentheses:

\((x + 2)^2 = -3(y + 19).\)

Now, the equation is in the form \((x - h)^2 = 4p(y - k)\), where (h, k) represents the vertex. In this case, the vertex is (-2, -19).

Overall, the process involves rewriting the equation in standard form, completing the square, and then rearranging the equation to match the vertex form. This allows us to identify the vertex of the parabola.

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Answer:

More students prefer PE.

Step-by-step explanation:

20 × 70% = 14

14 > 4

14 students prefer PE

4 prefer social studies

OR

4 ÷ 20 = 0.2

0.2 = 20%

70% > 20%

70% of the students prefer PE

20% of the students prefer social studies

We have drawn the graph for the given inequality.

What is inequality?

Inequality is a mathematical statement that compares two values or expressions and shows their relative size. It is represented by the symbols >, <, ≥, or ≤, which respectively mean "greater than", "less than", "greater than or equal to", and "less than or equal to". Inequalities can also include variables and can be used to describe a range of possible values for that variables.

For the given inequality y > -x - 5

we can draw the graph as shown below:

Hence, we have drawn the graph for the given inequality.

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The probability of an event is 0.29,0.06. An event's probability is always between 0 and 1.

When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.

The probability is computed by dividing the total number of possible outcomes by the number of possible ways the event could occur. Probability and odds are two distinct ideas. Odds are calculated by dividing the likelihood that something will occur by the likelihood that it won't.

-0.5 cant be a probability because it is less than 0

0.29 can be a probability because it is more than zero.

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The numbers that could be a probability of an event are  0.29 and 0.06

An event's probability is always between 0 and 1. (inclusive).

This implies:

There can be just one.

It must be zero or less.

Evaluation of Option (a) - 0.5

This cannot represent probability (b) 0.29 because it is less than 1,

This can be used to represent probability (c) 0.06 since it lies between 0 and 1.

This can be used to indicate probability (d) 1.18 since it is less than 1.

Given that this is larger than 1, it cannot be a probability (e) 0

A probability is not zero.

This ranges from 0 to 1, so it can be used to express probability.

Therefore, 0.29 and 0.06 can be used to indicate probabilities.

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The angles of a triangle with side lengths 5 , 12 and 13 are 90°, 22.63°, 67.38°.

In trigonometry, the law of cosines, also known as the law of cosines or cosine formula, basically relates the length of a triangle to one cosine of its angle. It states that if we know the lengths of two sides of a triangle and the angle between them, we can determine the length of the third side. c² = a²+ b² – 2ab cosγ

where a, b, c are the sides of the triangle and γ is the angle between a and b, see image above.

To find the length of a side of a triangle, take △ABC according to the cosine formula, which can be written as follows.

We have , a = 5 , b = 12 , c= 13

cos α =( 12² + 13² - 5² )/2×12×13= 288/312

=> α = cos⁻¹(0.923 ) = 22.63°

cos β = (5² + 13² - 12² )/2×13×5 = 50/130

=> β = cos⁻¹(5/13) = 67.38°

cos γ = (12² + 5² - 13² )/2×12×5= 0

=> γ = cos⁻¹(0) = 90°

Hence, the required angles are 90°, 22.63°, 67.38°.

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The scenario that has A=5000(1.04)⁸ as the solution is Nissan investing $5000 at 4%, compounded annually for 8 years.

The formula :

\(A=P(1+r/n) {}^{nt} \)

This formula is used to find the amount of the investment at the end of the term, where A is the amount, P is the principal, r is the annual interest rate, n is the number of times the interest is compounded per year, and t is the number of years.

In this scenario, P=5000, r=0.04, n=1, and t=8.

Plugging these values into the formula, we get A=5000(1+0.04/1)⁽¹ˣ⁸⁾, which simplifies to A=5000(1.04)⁸.

Therefore, the correct answer is Nissan invests $5000 at 4%, compounded annually for 8 years.

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The correct answer to the question is option d) 75 PCF.

To calculate the expected vertical load, we need to consider the weight of the concrete slab and the additional load due to the concrete's temperature and pouring rate. The weight of the slab can be calculated by multiplying the density of the concrete (150 PCF) by the depth (6 inches) and the area (1 square foot). This gives us a weight of 75 pounds per square foot (PSF).

The temperature and pouring rate do not directly affect the vertical load. The temperature and pouring rate are factors that may affect the structural integrity of the slab or the time it takes for the concrete to fully cure. However, they do not contribute to the actual load borne by the slab itself. Therefore, the correct answer is 75 PCF, as it represents the weight of the concrete slab alone.

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Given the system:

y = 3x + 4

y = 2x - 6

3x + 4 = 2x - 6

3x - 2x = -6 - 4

x = - 10

y = 3(-10) + 4

y = -26

(-10, - 26) one solution

Answer:

v=2πrh

r=d/2=8/2=4

Therefore, V=2×3.142×4×2= 50.272 ans.

Answer:

6 1/10 (6.1)

Step-by-step explanation:

2 3/5 + 3 1/2  (2.6 + 3.5= 6.1)

2 6/10 + 3 5/10

5 11/10

6 1/10 (6.1)

Answer:

5x^3+15x^2-35x

Step-by-step explanation:

Firstly, you want to combine the "x"s in the (5x*x^2) and the (5x*3x). Once you have that (you will get 5x^3 and 15x^2), you can move onto the last set of parenthesis. We can get 35x from here. Finally, the last step is to add the correct signs. Our final answer will then be 5x^3+15x^2-35x. I hope this helped and please don't hesitate to reach out with more questions!

Answer:

in 220 miles both plans will cost the same

Step-by-step explanation:

38 + .12m = 49 + .07m

38 + .05m = 49

.05m = 11

m = 11/.05

Answer:

6, 12, 18, 24, 30

Step-by-step explanation:

1+2+3+4+5 = 15

90 divided by 15 is 6

6x1 = 6

6x1 = 12

6x1 = 18

6x1 = 24

6x1 = 30

The range of the numbers is 24.

The range is the difference between the highest value and the lowest value of the data. It helps in knowing the spread of the data.

Range = Highest Value - Lowest Value.

Here, Let the five numbers be x , 2x, 3x, 4x, and 5x

         Sum of numbers = 90

Now, x + 2x + 3x + 4x + 5x = 90

                    15x = 90

                     x = 90 / 15

                    x = 6

So, the numbers are 6, 12, 18, 24, 30

Range = Highest Value - Lowest Value

Range = 30 - 6 = 24

Thus, The range of the numbers is 24.

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Answer:

wait....

Step-by-step explanation:

1)28+7x

2)28-7x

3)-28+7x

4)-28-7x

Answer:

answer in picture

Step-by-step explanation:

The upper class in the U.S. represents only 1% of the population but possesses more wealth than the entire bottom 90%.

This staggering statistic highlights the extreme wealth inequality in the United States. The upper class, consisting of the wealthiest individuals and families, controls a disproportionately large share of the nation's wealth. This concentration of wealth can have significant implications for social and economic dynamics.

The wealth gap between the upper class and the rest of the population has wide-ranging consequences. It can perpetuate a cycle of privilege and disadvantage, as individuals from lower socioeconomic backgrounds may face limited opportunities for upward mobility. The concentration of wealth can also impact political power and influence, as those with significant resources may have greater access to decision-making processes.

Addressing wealth inequality is a complex challenge that requires a multifaceted approach. Policy measures such as progressive taxation, investment in education and skills training, and social safety nets can help mitigate the disparities and create a more equitable society. Additionally, promoting inclusive economic growth and reducing barriers to wealth accumulation for marginalized communities are essential for achieving a fairer distribution of resources.

Understanding and acknowledging the magnitude of wealth concentration among the top 1% is crucial for fostering a society that strives for economic fairness and opportunities for all its citizens.

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Answer:

let the ages of the brothers be 2x and 3x

2x +3x=35

5x=35

x=35÷5

x=7

now,

A=2x=2×7=14

B=3x=3×7=21

this is the answer

Answer:

where is the dot, I Bileve it is no.

The best buy for granulated sugar is the 4lb option since it is lesser.

To find the best buy for the item , we calculate the cost per pound of the item :

4lb = $2.93

10lb = $8.45

Cost per lb for 4lb :

2.93/4 = $0.7325 per lb

Cost per lb for 10lb :

8.45/10 = $0.845 per lb

Since the cost per lb for 4lb granulated sugar is lesser, then it is the best buy.

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Answer:

x=180-90-54, y=180-x,z=90

Step-by-step explanation:

the sum of the degree of a triangle will equal 180. the sum of the degree of a line will equal 180.

Answer:                                                                                                                    695.52 cm3 Try using calculatorsoup dot com Significant Figures auto?                                                                                                                                

Step-by-step explanation: