I need this to get to hundred please me help me out

Answer:

The player will be more likely to wear a white jersey than a blue jersey because P(White) > P(Blue).

Answer:

5

Step-by-step explanation:

First find the number that have their own cell phone

1/4 * 40 = 10

There are 10 students with their own cell phone

1/2  of the 10 can use social media

1/2 * 10  =5

5 have their own cell phone and can use social media

Answer: 10 students have a cell phone and only 5 of them can use social media

Step-by-step explanation: We see there are 40 students in total and 1/4 OF the class have their own cell phone. The OF means multiplacation so we do 40 X 1/4 which is 10 students who have their cellphone. We then again see 1/2 OF the 10 students can use social media meaning we do 10 X 1/2 which is equal to 5 students out of the 10 can use social media.

9514 1404 393

Answer:

  D

Step-by-step explanation:

Multiplying the inequality by 2 will eliminate the fraction and give you ...

  x ≤ 36

The "or equal to" part of the symbol means the end dot will be solid. The "less than" part of the symbol means the graph is shaded to the left of the end dot, which is at x=36. This description matches the graph shown below.

Learning and teaching resources are essential in Mathematics because teaching materials come in many shapes and sizes, and they all have in common the ability to support learning.

It should be noted that teachers help students to engage with and make connections between their mathematical knowledge, and understandings with other learning areas and the world around them.

Therefore, the learning and Teaching Support Material is an integral and vital part of every education system and the effective management, utilization and maintenance of this valuable resource as this will ensure access and support to the delivery of quality education.

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The Triangle Proportionality Theorem, also known as the Side Splitter Theorem, states that if a line is parallel to one side of a triangle, then it divides the other two sides proportionally.

Triangle Proportionality Theorem:

To prove this theorem, we begin by drawing a ΔABC with a line DE parallel to side AB. We then draw lines BD and CE, which intersect the parallel line DE at points F and G, respectively. By the properties of parallel lines, we know that ∠ADE and ∠ABD are congruent, and ∠AED and ∠ADB are congruent. Similarly, ∠CDE and ∠BDC are congruent, and ∠CED and ∠DCB are congruent.

We can then use the properties of similar triangles to show that ΔADE and ΔABC are similar, as are  ΔCDE and ΔACB. This means that the ratios of corresponding side lengths are equal:

BA/DE = CA/CE and CB/DE = AB/BD

We can then substitute CA - BA for CB in the first equation, and BD for AB in the second equation:

BA/DE = (CA - BA)/CE and CB/DE = BD/(CA - BA)

Cross-multiplying both equations, we obtain:

BA * CE = DE * (CA - BA) and CB * DE = BD * (CA - BA)

Adding the two equations, we get:

BA * CE + CB * DE = (DE + CE) * CA

Dividing both sides by CB * DE, we obtain:

BA/CB = (DE + CE)/CE * CA/DE = DE/CD

Thus, we have proven the Triangle Proportionality Theorem.

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Answer: Solve for P: WR - 1 =R (1 – P) 10. ... Solve for B: A= 2B + C 12. ... 9. Solve for P: WR - 1 =R (1 – P).

Step-by-step explanation:

Answer:

1, 2  

Step-by-step explanation:

Given parameters;

   Endpoints  = (-3, 3) and (5, 1)

Unknown:

The midpoint of the segment = ?

Solution:

 The midpoint between two endpoints is given as;

         x\(_{m}\), y\(_{m}\) =( \(\frac{x_{1} + x_{2} }{2}\) , \(\frac{y_{1} + y_{2} }{2}\))

       x and y are coordinates

x₁  = -3

x₂ = 5

y₁ = 3

y₂ = 1

        x\(_{m}\), y\(_{m}\)  = \(\frac{-3 + 5}{2}\), \(\frac{3+ 1}{2}\)

       x\(_{m}\), y\(_{m}\) = 1, 2  

Answer:

The y intercept is (0,-22)

Step-by-step explanation:

The y intercept is the value when x =0

Y=5x-22

y = 5*0 -22

y = -22

The y intercept is (0,-22)

Answer:

B = 90 - 37 = 53

A = 180 - 90 - B = 37

C = 90

D = A = 53

The probability of hitting the black circle as required is closer to 0 than. it is to 1.

The probability of hitting the white portion of the target as required is closer to 1 than it is to 0.

It follows from the task content that the probability of hitting the circle is dependent on the area of the black circle and the square shaped target.

Since the area of the square is; 9² = 81.

The area of the black circle is; π(1.5)² = 7.07.

Since the area of the black circle is less than half the area of the square; it follows that the the probability are as stated in the answer section above.

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It is not possible to find a combination using addition and multiplication of the given single-digit numbers that totals exactly 100 while keeping the same order.

To combine the single-digit numbers 1, 2, 3, 4, 5, 6, 7, 8, and 9 using only addition and multiplication so that they total 100 while keeping the same order, we can form the following expression:

1 + 2 + 3 + 4 + 5 + 6 + 78 + 9

In this expression, we group the numbers 7 and 8 together to form 78. Then, we add all the other numbers from 1 to 6 and the number 9. Adding them up, we get:

1 + 2 + 3 + 4 + 5 + 6 + 78 + 9 = 108

Unfortunately, the sum obtained from this expression is 108, not 100 as required.

It is not possible to obtain a sum of exactly 100 by combining the single-digit numbers 1 to 9 in the given order using only addition and multiplication. This is because the largest single-digit number, 9, is relatively small compared to the desired total of 100.

Adding all the single-digit numbers in order without any multiplication would result in a sum of 45, which is significantly lower than 100. Multiplication can only further decrease the sum, making it even more difficult to reach 100.

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Answer:

1 [unit²].

Step-by-step explanation:

try the option, all the details are in the attachment; change the design according to local requirements.

Based on the given parameters, the car would be $497.9 expensive in 9 years

The given parameters about the compound interest are

Compound interests are different from simple interest, and they are calculated using the following compound interest formula

CI = P(1 + R)^t - P

To calculate the amount, we have:

A = P + CI

So, the equation becomes

A = P + P(1 + R)^t - P

Evaluate the like terms

A = P(1 + R)^t

In this case, we introduce the variable n

So, we have

A = P(1 + R/n)^nt

Where n is the number of times in a year

i.e. n = 12

Substitute the known values in the above equation

A = 325 * (1 + 4.75%/12)^(12 * 9)

Evaluate the percentages and the quotients

A = 325 * (1 + 0.0039583)^(108)

Evaluate the sum

A = 325 * (1 .0039583)^(108)

Evaluate the exponent

A = 325 * 1.532

Evaluate the product

A = 497.9

Hence, the value of the investment after 9 years is $497.9

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Answer:

3

Step-by-step explanation:

uhhhhhhhhhhhhh yeah

Answer:

12x+9

Step-by-step explanation:

To find the perimeter, add all the sides

3x+8  + 4x-1  + 5x +2

Combine like terms

3x+4x+5x   +8-1 +2

12x+9

The two column proof showing that  ΔWXZ ≅ ΔYXZ is as shown below

From the given triangle, we see that;

Given: WX ≅ XY, XZ bisects WXY

Prove: ΔWXZ ≅ ΔYXZ

The two column proof for the above is as follows;

Statement 1;  WX ≅ XY, XZ bisects 2

Reason 1; Given

Statement 2: ∠WXZ ≅ YXZ

Reason 2; Angle bisector

Statement 3; XZ ≅ XZ

Reason 3: Reflexive property of congruence

Statement 4:  ΔWXZ  ≅ ΔYXZ

Reason 4:  SAS Congruence Postulate

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Answer:

Step-by-step explanation:

This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts.

Answer:

1 boy 4 girls, 2 boys 8 girls, 3 boys 12 girls, 4 boys 16 girls

Answer:

<

Step-by-step explanation:

hhahaha

From the solution;

x = 62.62°

y = 8.9 cm

The sine rule (also known as the law of sines) is a mathematical formula that relates the sides and angles of a triangle. Specifically, it relates the ratios of the lengths of the sides of a triangle to the sine of the opposite angles.

By the use of the sine rule;

a/Sin A = c/Sin C

Sin C = cSin A/a

C = Sin-1(cSin A/a)

C = Sin-1(7.8 * sin 66.4/9.2)

C = 50.98°

B = 180 - (50.98° + 66.4)

B = 62.62°

Then;

a/Sin A = b/Sin B

9.2/Sin66.4 = b/Sin 62.62

b = 9.2 * Sin 62.62/Sin66.4

b = 9.2 * 0.89/0.92

b = 8.9 cm

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A system of two equations involving L and W based on the perimeter and area information include the following:

Area equation: 60 = LW

Perimeter equation: 34 = 2(L + W).

Mathematically, the perimeter of a rectangle can be calculated by using this equation;

P = 2(L + W)

Similarly, the area of a rectangle can be calculated by using this mathematical expression:

A = LW

Where:

Substituting the given points into the perimeter and area of rectangle formula, we have the following;

A = LW ⇒ 60 = LW

P = 2(L + W) ⇒ 34 = 2(L + W).

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An inverse variation function with a small value for k. Therefore, option C is  the correct answer.

Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is known as the "constant of proportionality".

The association between x and y can be classified in two ways, as follows:

Direct proportional: when the input x increases, the output y also increases.

Inverse proportional: when the input x increases, the output y decreases.

For this problem, we need an inverse proportional function, that has the following format:

y = k/x.

The lower the value of k, the lower the value of y when x goes to infinity.

Therefore, option C is  the correct answer.

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Functions can be used to model real life scenarios

The function is given as:

\(\mathbf{V(t) = -t^3 + t^2 + 12t}\)

(a) Sketch V(t)

See attachment for the graph of \(\mathbf{V(t) = -t^3 + t^2 + 12t}\)

(b) The reasonable domain

t represents the number of weeks.

This means that: t cannot be negative.

So, the reasonable domain is: \(\mathbf{[0,\infty)}\)

(c) Average rate of change from t = 0 to 2

This is calculated as:

\(\mathbf{m = \frac{V(a) - V(b)}{a - b}}\)

So, we have:

\(\mathbf{m = \frac{V(2) - V(0)}{2 - 0}}\)

\(\mathbf{m = \frac{V(2) - V(0)}{2}}\)

Calculate V(2) and V(0)

\(\mathbf{V(2) = (-2)^3 + (2)^2 + 12 \times 2 = 20}\)

\(\mathbf{V(0) = (0)^3 + (0)^2 + 12 \times 0 = 0}\)

So, we have:

\(\mathbf{m = \frac{20 - 0}{2}}\)

\(\mathbf{m = \frac{20}{2}}\)

\(\mathbf{m = 10}\)

Hence, the average rate of change from t = 0 to 2 is 20

(d) The instantaneous rate of change using limits

\(\mathbf{V(t) = -t^3 + t^2 + 12t}\)

The instantaneous rate of change is calculated as:

\(\mathbf{V'(t) = \lim_{h \to \infty} \frac{V(t + h) - V(t)}{h}}\)

So, we have:

\(\mathbf{V(t + h) = (-(t + h))^3 + (t + h)^2 + 12(t + h)}\)

\(\mathbf{V(t + h) = (-t - h)^3 + (t + h)^2 + 12(t + h)}\)

Expand

\(\mathbf{V(t + h) = (-t)^3 +3(-t)^2(-h) +3(-t)(-h)^2 + (-h)^3 + t^2 + 2th+ h^2 + 12t + 12h}\)\(\mathbf{V(t + h) = -t^3 -3t^2h -3th^2 - h^3 + t^2 + 2th+ h^2 + 12t + 12h}\)

Subtract V(t) from both sides

\(\mathbf{V(t + h) - V(t)= -t^3 -3t^2h -3th^2 - h^3 + t^2 + 2th+ h^2 + 12t + 12h - V(t)}\)

Substitute \(\mathbf{V(t) = -t^3 + t^2 + 12t}\)

\(\mathbf{V(t + h) - V(t)= -t^3 -3t^2h -3th^2 - h^3 + t^2 + 2th+ h^2 + 12t + 12h +t^3 - t^2 - 12t}\)

Cancel out common terms

\(\mathbf{V(t + h) - V(t)= -3t^2h -3th^2 - h^3 + 2th+ h^2 + 12h}\)

\(\mathbf{V'(t) = \lim_{h \to \infty} \frac{V(t + h) - V(t)}{h}}\) becomes

\(\mathbf{V'(t) = \lim_{h \to \infty} \frac{ -3t^2h -3th^2 - h^3 + 2th+ h^2 + 12h}{h}}\)

\(\mathbf{V'(t) = \lim_{h \to \infty} -3t^2 -3th - h^2 + 2t+ h + 12}\)

Limit h to 0

\(\mathbf{V'(t) = -3t^2 -3t\times 0 - 0^2 + 2t+ 0 + 12}\)

\(\mathbf{V'(t) = -3t^2 + 2t + 12}\)

(e) V(2) and V'(2)

Substitute 2 for t in V(t) and V'(t)

So, we have:

\(\mathbf{V(2) = (-2)^3 + (2)^2 + 12 \times 2 = 20}\)

\(\mathbf{V'(2) = -3 \times 2^2 + 2 \times 2 + 12 = 4}\)

Interpretation

V(2) means that, 20 people were infected after 2 weeks of the virus spread

V'(2) means that, the rate of infection of the virus after 2 weeks is 4 people per week

(f) Sketch the tangent line at (2,V(2))

See attachment for the tangent line

The slope of this line is:

\(\mathbf{m = \frac{V(2)}{2}}\)

\(\mathbf{m = \frac{20}{2}}\)

\(\mathbf{m = 10}\)

The slope of the tangent line is 10

(g) Estimate V(2.1)

The value of 2.1 is

\(\mathbf{V(2.1) = (-2.1)^3 + (2.1)^2 + 12 \times 2.1}\)

\(\mathbf{V(2.1) = 20.35}\)

(h) The maximum number of people infected at the same time

Using the graph, the maximum point on the graph is:

\(\mathbf{(t,V(t) = (2.361,20.745)}\)

This means that:

The maximum number of people infected at the same time is approximately 21.

The rate of infection at this point is:

\(\mathbf{m = \frac{V(t)}{t}}\)

\(\mathbf{m = \frac{20.745}{2.361}}\)

\(\mathbf{m = 8.79}\)

The rate of infection is 8.79 people per week

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9514 1404 393

Answer:

  a. 0.6 h

  b. 1.3 h

  c.  C -- No

  d. 4.2 mi/h

Step-by-step explanation:

a. The relationship between time (t), speed (s), and distance (d) is ...

  t = d/s

The time spent running 4 miles at 7 miles per hour is ...

  t = (4 mi)/(7 mi/h) = (4/7) h ≈ 0.6 h

__

b. The time spent walking home is ...

  t = (4 mi)/(3 mi/h) = 4/3 h ≈ 1.3 h

__

c.  C -- No, less time is spent at 7 mi/h

__

d. The average speed is ...

   s = d/t = (4 mi +4 mi)/(4/7 h +4/3 h) = (8 mi)/(40/21 h) = 4.2 mi/h

\(\huge\mathcal {♨Answer♥}\)

Let's get the width as \(\large\texttt {x}\)

So,

The length of the rectangle is \(\large\texttt {2x +2}\)

The perimeter of the rectangle is \(\large\texttt {82 inches}\)

Let's get the answer for width,

☆ 2 (2x + 2) + 2x = 82

4x + 4 + 2x = 82

6x + 4 = 82 - 4

6x ÷ 6 = 78 ÷ 6

x = 13

Let's get the answer for length,

☆ 2x + 2

2 × 13 + 2

28

Then,

\(\large\texttt {↪The width is 13 inches}\)

\(\large\texttt {↪The length is 28 inches}\)

☆...hope this helps...☆

_♡_mashi_♡_

The first equation is incorrect.

The second equation is correct.

The third equation is correct.

Let's go through each equation and determine whether it is correct or incorrect:

(b²+7b-9)+(4b-6b²) = -8b² + 14b-9

To determine if this equation is correct, we need to simplify both sides and check if they are equal.

On the left side:

(b²+7b-9)+(4b-6b²) = b² - 6b² + 7b + 4b - 9 = -5b² + 11b - 9

On the right side:

-8b² + 14b - 9

Comparing both sides, we can see that -5b² + 11b - 9 is not equal to -8b² + 14b - 9. Therefore, the equation is incorrect.

(4a+6)-(3a²-9a+1)=-3a²+ 13a +5

Again, we need to simplify both sides of the equation and check if they are equal.

On the left side:

(4a+6)-(3a²-9a+1) = 4a + 6 - 3a² + 9a - 1 = -3a² + 13a + 5

On the right side:

-3a² + 13a + 5

Comparing both sides, we can see that -3a² + 13a + 5 is equal to -3a² + 13a + 5. Therefore, the equation is correct.

(12c-8c²)+(5c²- 10c) = -3c²+2c

Again, let's simplify both sides and compare them.

On the left side:

(12c-8c²)+(5c²- 10c) = 12c - 8c² + 5c² - 10c = -3c² + 2c

On the right side:

-3c² + 2c

Comparing both sides, we can see that -3c² + 2c is equal to -3c² + 2c. Therefore, the equation is correct.

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The Propositions are resulting

(a) ∀x∃y(x = y²) is False

(b) ∀x∃y(x² = y) is True.

(c) ∃x∀y(xy = 0) is True.

(d) ∀x∃y(x + y = 1) is True.

(a) ∀x∃y(x = y²)

This proposition states that for every x, there exists a y such that x is equal to y². To determine the truth value, we need to check if this statement holds true for every value of x.

If we take any positive value for x, we can find a corresponding value of y that satisfies the equation.

For example, if x = 4, then y = 2 satisfies the equation since 4 = 2². Similarly, if x = 9, then y = 3 satisfies the equation since 9 = 3².

Therefore, the proposition (a) is false.

(b) ∀x∃y(x² = y)

For any given positive or negative value of x, we can find a corresponding value of y that satisfies the equation.

For example, if x = 4, then y = 2 satisfies the equation since 4² = 2. Similarly, if x = -4, then y = -2 satisfies the equation since (-4)² = -2.

Therefore, the proposition (b) is true.

(c) ∃x∀y(xy = 0)

The equation xy = 0 can only be satisfied if x = 0, regardless of the value of y. Therefore, there exists an x (x = 0) that makes the equation true for every y.

Therefore, the proposition (c) is true.

(d) ∀x∃y(x + y = 1)

To determine the truth value, we need to check if this statement holds true for every value of x.

If we take any value of x, we can find a corresponding value of y that satisfies the equation.

For example, if x = 2, then y = -1 satisfies the equation since 2 + (-1) = 1. Similarly, if x = 0, then y = 1 satisfies the equation since 0 + 1 = 1.

Therefore, the proposition (d) is true.

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Check the picture below.

\(243=9(r)(r)(r)\implies 243=9r^3\implies \cfrac{243}{9}=r^3\implies \sqrt[3]{\cfrac{243}{9}}=r\implies \boxed{3=r} \\\\[-0.35em] ~\dotfill\)

\(n^{th}\textit{ term of a geometric sequence} \\\\ a_n=a_1\cdot r^{n-1}\qquad \begin{cases} a_n=n^{th}\ term\\ n=\stackrel{\textit{term position}}{5}\\ a_1=\textit{first term}\\ r=\stackrel{\textit{common ratio}}{3} \end{cases}\qquad \implies a_5=a_1\cdot 3^{5-1} \\\\\\ 243=a_1\cdot 3^{5-1}\implies 243=a_1\cdot 3^4\implies 243=a_1\cdot 81 \\\\\\ \cfrac{243}{81}=a_1\implies \boxed{3=a_1}\hspace{12em} {\Large \begin{array}{llll} a_n=3(3^{n-1}) \end{array}}\)

The form that most quickly reveals the y intercept is

The y intercept is (0, 21/2)

The y-intercept is the point where a function or a curve intersects the y-axis. In other words, it is the value of the dependent variable (y) when the independent variable (x) is equal to zero.

In the form,  f(x) = 1/2 x² - 5x + 21/2 it is easier to see that eliminating x by plugging in 0 leaves 21/2 which is the y intercept

hence we can easily say that the y intercept is (0, 21/2)

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