can someone please help me with this

Answer:

oop

Step-by-step explanation:

127247

sorry if wrong I kept getting notifications

Answer:

127,242

Step-by-step explanation:

le calculator helps out a lot

The x-coordinates of the points of intersection of the given function graphs are;

1) x = 0 and x = 2

2) x = -1

3) x = 0

The point of intersection of a graph is defined as the point or coordinates where two lines or curves meet each other.

1) In the first graph, we are given the functions as;

f(x) = -³/₄x² + 3x + 1

g(x) = 2ˣ

Thus;

From the graph, f(x) = g(x) is at (2,4 and (0, 1)

2) In the first graph, we are given the functions as;

f(x) = x² + 4x + 2

g(x) = (¹/₂)ˣ + 1

Thus;

From the graph, f(x) = g(x) is at (-1. 3)

C) In the third graph, we are given the functions as;

f(x) = -⁷/₃x - 3

g(x) = 2ˣ - 4

Thus;

From the graph, f(x) = g(x) is at (0, -3)

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Answer:

B

Step-by-step explanation:

Fip numbers and change both signs when reflecting over y=-x

Answer:

C

Step-by-step explanation:

A truth table is a table used in logic to systematically represent the possible truth values of a logical expression.

To construct truth tables for the provided statement forms, we need to consider all possible combinations of truth values for the individual propositional variables involved.

Let's go through each statement form and build the respective truth tables:

(a) p∧∼q:

p q ∼q p∧∼q

T T     F     F

T F   T     T

F T   F     F

F F   T     F

(b) ∼(p∧q)∨(p∨q):

p q p∧q ∼(p∧q) p∨q ∼(p∧q)∨(p∨q)

T T   T       F    T            T

T F   F       T    T            T

F T   F       T    T              T

F F   F       T    F             T

(c) p∧(q∧r):

p q r q∧r p∧(q∧r)

T T T   T     T

T T F   F     F

T F T   F        F

T F F   F     F

F T T   T     F

F T F   F     F

F F T   F     F

F F F   F     F

(d) p∧(∼q∨r):

p q r ∼q ∼q∨r p∧(∼q∨r)

T T T   F      T               T

T T F   F      F               F

T F T   T      T               T

T F F   T      T               T

F T T   F      T               F

F T F   F      F               F

F F T   T      T               F

F F F   T      T               F

These truth tables display all the possible combinations of truth values for the propositional variables p, q, and r, and the resulting truth values for each statement form based on the logical operations involved.

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Answer:

∠ A = 42° , ∠ G = 85°

Step-by-step explanation:

the measure of an inscribed angle is half the measure of its intercepted arc.

(3)

∠ A is an inscribed angle , so

∠ A = \(\frac{1}{2}\) BC = \(\frac{1}{2}\) × 84° = 42°

(4)

∠ G is an inscribed angle but we require arc DF

the sum of the arcs in a circle = 360°

FG + GD + FD = 360°

70° + 120° + FD = 360°

190° + FD = 360° ( subtract 190° from both sides )

FD = 170°

Then

∠ G = \(\frac{1}{2}\) DF = \(\frac{1}{2}\) × 170° = 85°

Answer:

4

Step-by-step explanation:

-3 + 8 + 9 + (-7) + 13 = 20

20/5 = 4

Answer:

i think it's B, no solutions

Step-by-step explanation:

because they are parallel to each other

We are given log ( 10^3)

We can use one of the properties of logs

log u^n = n log u

Rewriting log ( 10^3) using this property

log ( 10^3) = 3 log 10

log has an implied base of 10

log 10 = 1

3 log 10 = 3 *1 =3

The two correct choices are

A. 3 * log 10

D. 3

Step-by-step explanation:

the answer is in the above image

Answer:

61°

Step-by-step explanation:

(x+18)°=(4x-15)°alternate angles, because BC is parallel to AD

x°+18°=4x°-15°

18°+15°=4x°-x°

33°=3x°

33°/3°=3x°/3°

11=x

angle ABD

90°-(x+18)°. the sides of a rectangle meet at 90°

90°-(11+18)°

90°-(29)°

90°-29°

61°

Answer:

C. the lines will be intersecting but neither parallel nor perpendicular

Step-by-step explanation:

changing the x coeficient means you're changing the gradien/ slope. so it will intersecting in one point of y if the x = 0

y = 2x + 4

y = 2(0) + 4 = 4

y = 3x + 4

y = 3(0) + 4 = 4

Answer:

Step-by-step explanation:

If you type this equation onto the graphing calculator you can clearly tell the lines intersect therefore the right answer is the last one.

Answer: 15 pounds = 6.8038856 Kilograms

Step-by-step explanation: We know that one pound is more that 2 kilograms.

There are 6.802 kilograms in 15 lbs. The answer is obtained by applying the unit conversion.

What is unit conversion?

To represent the same attribute in a different unit of measurement, employ a unit conversion. For instance, you could substitute minutes for hours when expressing time or feet for miles when expressing distance. It frequently happens when measures are given in one system of units, like feet, but are needed in another, like chains.

In the question, we have been given 15 lbs which are to be stated into kilograms.

We know that 1 kilogram = 2.205 lbs(approx)

So, 1 lb = 1/2.205 kilograms

Therefore,

⇒15 lbs = 15 * 1/2.205

⇒15 lbs = 6.802 kilograms

Hence, there are 6.802 kilograms in 15 lbs.

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Most likely I have scored 375 3-point darts.

The expected (mean) value of the total points is as follows, with a 50% chance of scoring 1-point darts and the same for 3-point darts:50 percent of the 500-point darts score and 50 percent of the 500-point darts score. The anticipated number of points is 1 point multiplied by 1/2 (500) times 3 points yielding 1000 points.

The equality of distribution between the 1-point and 3-point scoring indicates that you scored 1500/1000, or 1.5 times the means, assuming that you actually scored 1500 points in total. That indicates that 1500 points are equal to 1.5 (.5) 500 (1 point) plus 1.5 (.5) 500 (3 points). Therefore, you scored 1.5 (.5) 375 3-point dart hits.

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The slope of the curve  f(x) = x³ + 3x²  is given by the derivative, which is

f'(x) = 3x² + 6x.

To find the slope of the curve represented by the function

f(x) = x³ + 3x²

we need to take the derivative of the function with respect to x.

The derivative  of f( x) = x³ + 3x² can be found using the power rule of differentiation

f'(x) = 3x² + 6x

hence, the slope of the curve represented by the function f(x) = x³ + 3x²  is given by the derivative f'(x) = 3x² + 6x.

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Answer:

ranalllldooo

Step-by-step explanation:

suiiiiiii

Answer:

The value of AM = 43

Step-by-step explanation:

As point M is the midpoint of AB, so

Given

AB = 8x - 50

AM = 2x + 9

so substituting AB = 8x - 50 and AM = 2x + 9 in the equation AB = AM + BM

AB = AM + BM

8x - 50 = 2x + 9 + BM

8x - 2x - 50 - 9 = BM

6x - 50 = BM

Thus,

BM = 6x - 59

As

AM = BM

so substituting AM = 2x + 9 and BM = 6x - 59 in the equation AM = BM

2x + 9 = 6x - 59

switch sides

6x - 59 = 2x + 9

subtract 2x from both sides

6x - 2x - 59 = 2x + 9 - 2x

4x - 59 = 9

add 59 to both sides

4x - 59 + 59 = 9 + 59

4x = 68

divide both sides by 4

4x/4 = 68/4

x = 17

Thus, the value of x = 17

Therefore, the value of AM will be:

AM = 2x + 9 = 2(17) + 9 = 34 + 9 = 43

Hence, the value of AM = 43

Verification:

AM = BM

2x + 9 = 6x - 59

2(17) + 9 = 6(17) - 59

34 + 9 = 102 - 59

43 = 43

and

AB = 8x - 50 = 8(17) - 50 = 86

Systematic errors are consistently in the same direction

In contrast , random errors produce different values in random directions

Random error causes a slight difference of one measurement to from the next. It is quite unpredictable in it's variation during an experiment.

Systematic error always affects measurements by the same proportion, provided that a reading is taken the same way each time. It is predictable

An example that illustrates this difference are

Systematic errors are consistently in the same direction

for example they are always 50g , 1% or 99 mm too large or too small

In contrast , random errors produce different values in random directions

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According to given data on unmarried mothers as of 2021, around 25% of American children under 18 are living with a single parent.

The percentage of children born to unmarried mothers does not necessarily indicate the percentage of children living with a single parent, as some unmarried parents may choose to live together and raise their children as a family. Therefore, looking at the percentage of children living with a single parent provides a more accurate representation of the situation.

According to the US Census Bureau's 2020 report, around 25% of American children under 18 live with a single parent. This percentage has increased over the years, with 22% of children living with a single parent in 2000 and 19% in 1980. The reasons for single-parent households vary but can include divorce, separation, death of a spouse, or choice.

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a) Approximately 29.50% of brake pads will contain less than 32.5% copper. b)  The approximate distribution of the sample mean copper percentage is a normal distribution with mean 34 and standard error 0.7.

a)To solve this problem, we can use the z-score formula to standardize the value of 32.5 using the mean and standard deviation given:

z = (x - μ) / σ

where x is the value we are interested in (32.5), μ is the mean (34), and σ is the standard deviation (2.8).

Substituting these values, we get:

z = (32.5 - 34) / 2.8 = -0.536

Using a standard normal distribution table or calculator, we can find the probability of a z-score less than -0.536, which is approximately 0.2950 or 29.50%. Therefore, approximately 29.50% of brake pads will contain less than 32.5% copper.

b) The sample mean copper percentage of 16 pads will also follow an approximate normal distribution with mean μ = 34 and standard deviation σ/√n = 2.8/√16 = 0.7, where n is the sample size.

Therefore, the approximate distribution of the sample mean copper percentage can be expressed as:

X ~ N(34, 0.7)

where X is the sample mean copper percentage.

The mean of this distribution is equal to the population mean μ, which is 34. The standard error of the mean (also known as the standard deviation of the sampling distribution) is given by σ/√n, which is 0.7 in this case.

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Your question is incomplete, but probably the complete question is :

Assume the distribution of copper content (%) in sintered brake pads follows an approximate normal distribution with a mean of 34 and a standard deviation of 2.8

a.) What percentage of brake pads will contain less than 32.5% copper?

b.) What is the approximate distribution of the sample mean copper percentage if we sample 16 pads? Include the mean and standard error of this distribution

The sum of the prime numbers that divide N the number of such committees that can be formed is 81

In this question we have been given a club consisting of 11 men and 12 women needs to choose a committee from among its members so that the number of women on the committee is one more than the number of men on the committee.

The committee could have as few as 1 member or as many as 23 members.

Let N be the number of such committees that can be formed.

We need to find the sum of the prime numbers that divide N.

Let m be the number of women selected.

So, the number of men not selected would be:

11 - (m - 1) = 12 - m

Each combination of women selected and men not selected corresponds to a committee selection.

Since choosing 12 individuals from the total of 23 would give m women and 12 - m men, the number of committee selections :

using combination formula,

N = 23C12

N = 23!/12!(23 - 12)!

N = 1352078

The prime factors of 1352078 are: 2, 7, 13, 17, 19, 23

So, the sum of the prime numbers would be,

2 + 7 + 13 + 17 + 19 + 23 = 81

Therefore, the sum of the prime numbers = 81

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The complete question is:

A club consisting of 11 men and 12 women needs to choose a committee from among its members so that the number of women on the committee is one more than the number of men on the committee. The committee could have as few as 1 member or as many as 23 members. Let N be the number of such committees that can be formed. Find the sum of the prime numbers that divide N.

When choosing values of x between each intercept and values of x on either side of the vertical asymptotes, it is

important to consider the behavior of the function in those regions.  Choosing values of x close to the intercepts can

give you an idea of the shape of the function in that region.

Choosing values of x close to the vertical asymptotes can help you determine the behavior of the function as x

approaches that value.

Choosing values of x between each intercept and values of x on either side of the vertical asymptotes.

To choose values of x between each intercept and values of x on either side of the vertical asymptotes,

1. Identify the intercepts: Find the points where the function intersects the x-axis and the y-axis. These are the points where the function's value is zero.

2. Identify the vertical asymptotes: Determine the values of x where the function is undefined or has a vertical asymptote.

3. Choose values of x between each intercept: Select a value between each pair of intercepts that you found in step 1. These values will help you understand the function's behavior between the intercepts.

4. Choose values of x on either side of the vertical asymptotes: Select a value slightly less than and slightly greater than each vertical asymptote you found in step 2. These values will help you understand the function's behavior around the vertical asymptotes.

By following these steps, you can analyze the function's behavior around its intercepts and vertical asymptotes.

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The gradient of a function f(x, y, z) is defined as the vector of partial derivatives of f with respect to x, y, and z. In other words,

grad(f) = (∂f/∂x) i + (∂f/∂y) j + (∂f/∂z) k

(a) To find the gradient of f(x,y,z) = xy²+xz+yz/x+y+z, we first need to find the partial derivatives of f with respect to x, y, and z:

∂f/∂x = y² + z/(x+y+z) - yz/(x+y+z)²

∂f/∂y = 2xy + z/(x+y+z) - xz/(x+y+z)²

∂f/∂z = x + y - (xy + xz + yz)/(x+y+z)²

(b) Now we can put these partial derivatives together to get the gradient:

grad(f) = (∂f/∂x) i + (∂f/∂y) j + (∂f/∂z) k

grad(f) = (y² + z/(x+y+z) - yz/(x+y+z)²) i + (2xy + z/(x+y+z) - xz/(x+y+z)²) j + (x + y - (xy + xz + yz)/(x+y+z)²) k

Therefore, the gradient of f(x,y,z) = xy²+xz+yz/x+y+z is:

grad(f) = (y² + z/(x+y+z) - yz/(x+y+z)²) i + (2xy + z/(x+y+z) - xz/(x+y+z)²) j + (x + y - (xy + xz + yz)/(x+y+z)²) k.

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Answer:

f(x)=x^2+1

when x is replace by a

f(a)=a^2+1

when a is replace by a+3

f(a+3)=(a+3)^2+1

         =a^2+6a+9+1

         =a^2+6a+10

Step-by-step explanation:

Answer:

The Answer is P = (-2.5 , 1 )

Step-by-step explanation:

Let, the point is P(x,y)

then, \(x=\frac{m_{1}x_{2}+ m_{2}x_{1}}{m_{1}+m_{2}}\)

     =>\(x=\frac{5*(-1)+ 3*(-5)}{5+3}\)

     ∴\(x=-2.5\)

Again, \(y=\frac{m_{1}y_{2}+ m_{2}y_{1}}{m_{1}+m_{2}}\)

     =>\(y=\frac{5*7+ 3*(-9)}{5+3}\)

     ∴\(y=1\)

Thus, P = (-2.5 , 1 )

Answer:

25

Step-by-step explanation:

As it's already stated in the hint that when angles form a linear pair their sum is equal to 180

5x - 5 + 2x + 10 = 180 add like terms

7x + 5 = 180 subtract 5 from both sides

7x = 175 divide both sides by 7

x = 25

Answer:

Option (D).

Step-by-step explanation:

Initial population of the deer \(P_{0}\) = 4800

Decrease in the population of the deer after every 8 years = \(\frac{1}{2}\times (\text{Initial population})\)

Decrease in population is an exponential process, so the expression representing population will be,

\(P_{t}=P_{0}(1-r)^x\)

Where \(P_{t}\) is the population after 'x' slots of 8 years.

r = fraction of decrease in the population

x = \(\frac{\text{Number of years}}{8}\)

By substituting the values of r and x in the expression,

\(P_{t}=P_{0}(1-\frac{1}{2})^{\frac{t}{8}}\)

\(P_{t}=4800(\frac{1}{2})^{\frac{t}{8}}\)

Therefore, Sylvia should do few corrections in her expression.

(8) should be replaced by (\(\frac{1}{2}\)) and \(\frac{t}{2}\) should be replaced by \(\frac{t}{8}\).

Option D. will be the answer.

Answer:

There is an 62.5% chance that he makes his next free throw.

Step-by-step explanation:

20:32

20 ÷ 32 = 0.625 = 62.5%

The yield of stock at yesterday's closing price is 3.43%.

Annual dividend is the profit of the stock which is divided among the shareholders, both common and preferred shareholders annually.

Given,

Annual dividend = $1.20

Today's closing price = $34.50

Net change = -$0.50

Let x be yesterday's closing price.

Net change = Today's closing price - yesterday's closing price

⇒ -0.50 = 34.50 - x

⇒ x = 34.50 + 0.50

⇒ x = 35

Yield = \(\frac{Annual dividend}{Price}\) × 100

         = \(\frac{1.2}{35}\) × 100

         = 3.4286 % ≈ 3.43 %

Hence the stock's yield at yesterday's closing price of preferred stock is 3.43 %.

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The measure of angle formed from the angle bisector PC- ∠CPD is 70°.

Here the question says that here we have an angle, ∠RPD. Now, there os a line PC from point P that bisects the angle, ∠RPD. Now, the given information states that ∠RPD measures 140°. We need to find the measure of ∠CPD.

According to the question,

the angle ∠RPD is bisected by the line PC.

An angle bisector is that line, line segment or ray, that divides an angle equally into 2 halves.

We know that ∠RPD = 140°

Now,  since PC bisects ∠RPD, the angle ∠CPD resulted from it would be half of that of ∠RPD

Hence ∠CPD = 70°.

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Complete Question

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