Which table shows a function that is decreasing only over the interval (-1, ..)?
f(x)
-1
X
-3
-2
-1
0
-3
--5
-2
-1
2
X
-3
-2
-1
0
f(x)
-3
_5
-7
--6
X
-3
-2
-1
0
f(x)
-4
-3
-1
2
1
1
1
1
1
2
2
2
--6
o
o
X
-3
-2
-1
0
f(x)
-5
-1
1
0
1
2
-8​

Answer:

The type of number that represents -4/2 is:

Choice B) Integer

Choice C) Rational

Step-by-step explanation:

The number -4/2 is an integer because it represents a whole number (-2) and it is also a rational number because it can be expressed as a fraction of two integers.

-4/2 is an :

Solution:

Before we make any decisions about the type of number -4/2 is, let's simplify it first.

It's the same as -2. Now, let's familiarize ourselves with the sets of numbers out there. Where does -2 fit in?

______________

This set incorporates only positive numbers and zero. So -2 doesn't belong here.

This set incorporates whole numbers and negative numbers. So -2 belongs here.

This set has integers, fractions, and decimals. So -2 does belong here too.

This is a set for numbers that cannot be written in fraction form (a/b, where b ≠ 0). So -2 doesn't belong here.

-4/2 belongs in the integer and rationals set.

Answer:

12-2t

Step-by-step explanation:

boi

The values of λ1, λ2, and m, which will give us the eigenvalues of A with their algebraic multiplicities.

It is not feasible to find the answer however we can tell the method to find it out.

Given that the 3×3 matrix A has only two distinct eigenvalues, and we know that the trace of A (tr(A)) is -1 and the determinant of A (det(A)) is 45, we can find the eigenvalues and their algebraic multiplicities.

The trace of a matrix is the sum of its eigenvalues, and the determinant is the product of its eigenvalues. Since A has two distinct eigenvalues, let's denote them as λ1 and λ2.

We know that tr(A) = -1, so we have:

λ1 + λ2 + λ3 = -1 ---(1)

We also know that det(A) = 45, which is the product of the eigenvalues:

λ1 * λ2 * λ3 = 45 ---(2)

Since A has only two distinct eigenvalues, let's assume that λ1 and λ2 are the distinct eigenvalues, and λ3 is repeated with algebraic multiplicity m.

From equation (2), we have:

λ1 * λ2 * λ3 = 45

Since λ3 is repeated m times, we can rewrite this equation as:

λ1 * λ2 * \((λ3^m)\) = 45

Now, let's consider equation (1). Since A has only two distinct eigenvalues, we can write it as:

λ1 + λ2 + m*λ3 = -1

We have two equations:

λ1 * λ2 *\((λ3^m)\)= 45

λ1 + λ2 + m*λ3 = -1

By solving these equations, we can find the values of λ1, λ2, and m, which will give us the eigenvalues of A with their algebraic multiplicities.

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Answer:

....

Step-by-step explanation:

Answer:

probably cold be the second one

Answer:

The addition property of equality is used to undo subtraction. The division property of equality is used to undo multiplication. Hope this helps!

Step-by-step explanation:

Answer:

I think that it is y= -2x +9

Step-by-step explanation:

I am sure about the slope but the y-intercept (9) might be wrong.

The number of postage stamps in John’s collection is 27.

We have given that,

John, Johan, and Jonathan collect postage stamps. Johan and Jonathan have the same number of stamps.

The elimination method is the process of eliminating one of the variables in the system of linear equations using the addition or subtraction methods in conjunction with the multiplication or division of coefficients of the variables.

Johan and Jonathan have the same number of stamps.

Let x be the Johan and Jonathan postal stamps.

Let y be the John postal stamps.

Two times Johan’s collection is eleven less than five times John’s collection.

2x = 5y - 11............(1)

Three times Jonathan’s collection is three less than seven times John’s collection.

3x = 7y - 3............(2)

Multiply equation 1 with 3

3(2x = 5y - 11)

⇒ 6x = 15y - 33.........(3)

Multiply equation 2 with 2

2(3x = 7y - 3)

⇒ 6x = 14y - 6.............(4)

Subtract equation 4 from equation 3

⇒ 6x - 6x = 15y - 33 - (14y - 6)

⇒ 0 = y - 27

⇒ y = 27

Hence, the number of postage stamps in John’s collection is 27.

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Answer:

Step-by-step explanation:

in Δ ADM and Δ CBM

AD║BC and AC cuts it.

so ∠DAM=∠BCM  (alternate angle)

∠AMD=∠CMB ( vertically opposite angles)

AM=CM (given ,M is mid point of AC)

Hence ΔAMD ≡ ΔCMB (ASA=ASA)

AD=CB

Answer:

Ice melting

Step-by-step explanation:

Think about ice for a moment. After ice melts into liquid water, you can refreeze it into solid ice if the temperature drops. Freezing and melting are physical changes. The substances produced during chemical changes however cannot easily change back into the original substances.

Answer:

Step-by-step explanation:

100/120 = 15

15/100, which means that 18/120 as a percentage is 15%.

hope this helps :)

The word "per" is also known as division and they are normally used to express unit of a quantity

An operator is generally a mapping or function that acts on elements of a space to produce elements of another space.

They are used to solve expressions and formula in mathematics.

Some of the operators are *, -  + and ÷

The word "per" is also known as division and they are normally used to express unit of a quantity

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To determine the appropriate sample size for estimating the true average time to within 5 minutes with a 95% confidence level, we can use the formula for sample size calculation in estimating the mean.

The formula is given by:

n = (Z * σ / E)²

Where:

n = sample size

Z = Z-score corresponding to the desired confidence level (95% confidence level corresponds to a Z-score of approximately 1.96)

σ = standard deviation of the distribution (unknown in this case)

E = maximum error or margin of error (in this case, 5 minutes)

Since the standard deviation (σ) is unknown, we can use a conservative estimate by assuming the worst-case scenario, which is σ = (440 - 320) / 6, where (440 - 320) is the range of the distribution and 6 is a rough approximation of the standard deviation.

Substituting the values into the formula:

n = (1.96 * (440 - 320) / 6 / 5)²

n ≈ 4.83²

n ≈ 23.33

Rounding up to the nearest whole number, the appropriate sample size for estimating the true average time within 5 minutes with a 95% confidence level is 24.

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Answer: -1.5

because one of the numbers is - 10 => the other is 15/-10 = -1.5

Step-by-step explanation:

Answer:

\(C'(t) = \frac{t-3.95}{0.95}\)

Step-by-step explanation:

Given

\(C=0.95t+3.95\)

Required

The inverse function

\(C=0.95t+3.95\)

Swap C and t

\(t=0.95C+3.95\)

Make C the subject

\(0.95C = t - 3.95\)

Divide by 0.95

\(C = \frac{t}{0.95} - \frac{3.95}{0.95}\)

Hence, the inverse function is:

\(C'(t) = \frac{t}{0.95} - \frac{3.95}{0.95}\)

or

\(C'(t) = \frac{t-3.95}{0.95}\)

a. The Red Sea trough refers to a dip in the upper-level height originating over the eastern Mediterranean moving southeastward, and deepening over the Red Sea.

b. This weather phenomenon manifests itself as it causes a sudden drop in temperatures, thunderstorms, and dust storms.

c. The Red Sea trough presents a challenge to weather forecasting as it is hard to predict when the trough will develop.

d. The Red Sea trough presents several hazards as causes heavy rainfall, strong winds, and a sudden drop in temperatures.

The Red Sea trough is one of the familiar weather patterns in Jordan. It is seen both in spring and fall.

a. The Red Sea trough is a dip in the upper-level height that originates over the eastern Mediterranean, advances southeastward, and deepens over the Red Sea. During the fall and spring seasons, this trough becomes more profound and generates a shallow low-pressure system over the Levant region, resulting in a northwesterly to northeasterly wind.

b. This weather phenomenon manifests itself in terms of weather in several ways. They are as follows:

c. The Red Sea trough presents a significant challenge to weather forecasting. It is difficult to predict when the trough will develop and the magnitude of its impacts on weather. The weather forecasters struggle to estimate the movement of the trough, its depth, and intensity, and the amount of rain and wind it will produce. As a result, the meteorological department often issues warnings and alerts, but the severity and impact of the weather are not always accurately forecasted.

d. The Red Sea trough presents several hazards. They are as follows:

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The measure of the major arc JLK will be 206°. Then the correct option is B.

The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.

The measure of the minor arc JK will be 154°.

Then the sum of the major arc and minor arc in a circle is 360°.

Then the major arc JLK will be given as,

JLK + JK = 360°

JLK + 154° = 360°

JLK = 206°

The measure of the major arc JLK will be 206°. Then the correct option is B.

Your question was incomplete, but the complete question was attached below.

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3 3 157 - 20157 + 757 - H Sy Sy Sy X Ś

In the given expression, we have a series of additions and subtractions with various terms. To simplify this expression, we need to evaluate the arithmetic operations step by step.

Add 3 and 3

The sum of 3 and 3 is 6.

Subtract 20157 from 157

When we subtract a larger number from a smaller number, we get a negative result. Here, the difference between 157 and 20157 is -20000.

Add 757 to -20000

Adding 757 to -20000 gives us -19243.

Subtract H from -19243

Since the variable H represents a positive real number, we cannot determine the exact value of this subtraction without additional information. Therefore, the result is expressed as -19243 - H.

Add Sy, Sy, Sy, X, and Ś to -19243 - H

Similarly, without any specific values assigned to these variables, we cannot simplify this part further. Hence, the final result is -19243 - H + Sy + Sy + Sy + X + Ś.

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When considering the expression "Add or subtract as indicated. Assume that the variable represents a positive real number," it implies that we need to perform addition or subtraction operations on the given numbers or variables.

The input you provided consists of a combination of numbers, symbols, and letters that don't follow a clear pattern.

It is essential to provide specific instructions or clarify how the operations should be applied.

Without further information, it is not possible to determine the correct interpretation or calculation.

Please provide additional details or clarify the desired operation so that I can assist you further.

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Answer:

The Answer is 20 cake pops are covered with green sprinkles.

Step-by-step explanation:

So if you have 1/2 choclate, 1/3 strawberry, and the rest are green, you first need to convert the Chocolate and the Strawberry into the same fraction. As shown:

Chocolate: 1/2=3/6

Strawberry:1/3=2/6

The rest are Green sprinkles.

So, your equation would be:

Chocolate sprinkles + Strawberry Sprinkles + Green Sprinkles = Total

And their are 5/6 of Chocolate and Strawberry Sprinkles...

That would mean 100 Chocolate and Strawberry Sprinkles!

Because 1/6 of 120 is 20 and multiply that by five and you have 100...

Now that we have that, and we know the rest are green...

we just do 120-100=20

So their you go!

Sorry its long but hope it helps! <3

Plot the coordinate points (0, 0), (1, -1.5), (2, -3.0), (-1, 1.5) and (-2, 3) on graph as below.

Graph is a mathematical representation of a network and it describes the relationship between lines and points. A graph consists of some points and lines between them. The length of the lines and position of the points do not matter.

The given linear equation is y= -1.5x.

Substitute, x=0, 1, 2, 3, 4, 5, .......

So, y=0, -1.5, -3, -4.5, -6.0, ....

Plot the coordinate points (0, 0), (1, -1.5), (2, -3.0), (-1, 1.5) and (-2, 3)

Therefore, plot the coordinate points (0, 0), (1, -1.5), (2, -3.0), (-1, 1.5) and (-2, 3) on graph as below.

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"Your question is incomplete, probably the complete question/missing part is:"

Graph linear equations y= -1.5x.

\(\textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h~~=height\\ a,b=\stackrel{parallel~sides}{bases~\hfill }\\[-0.5em] \hrulefill\\ a=12\\ b=6\\ h=9 \end{cases}\implies A=\cfrac{9(12+6)}{2}\implies A=81~ft^2\)

Answer:

a. 10560

b. 63360 in.

c. 10000 m

d. 100000 cm

e. 3.107 miles

f. 42.165 km

Step-by-step explanation:

a. 2 miles contain how many feet?

1 mile = 5280 ft

2 miles × 5280 ft / mile = 10560 ft

b. 1 mile contains how many inches?

1 ft = 12 in

1 mile × 5280 ft/mile × 12 in./ft = 63360 in.

c. 10 kilometers contain how many meters?

1 km = 1000 m

10 km × 1000 m/km = 10000 m

d. 1 kilometer contains how many centimeters?

1 km × 1000 m/km × 100 cm/m = 100000 cm

e. How many miles are in a "5k" (five-kilometer) race?

1 in. = 2.54 cm

5 km =

= 5 km × 1000 m/km × 100 cm/m × 1 in. / (2.54 cm) × 1 ft / (12 in.) × 1 mile / (5280 ft)

= 3.107 miles

f. A marathon is 26.2 miles. How many kilometers is this?

26.2 miles =

26.2 miles × 5280 ft / mile × 0.3048 m/ft × km / (1000 m) = 42.165 km

Cute Root: C

Exponential: D

Logarithmic: A

A function assigns the value of each element of one set to the other specific element of another set. The options can be matched with the function as C, D, and A, respectively.

A function assigns the value of each element of one set to the other specific element of another set.

The function of different functions is mentioned below.

Hence, the options can be matched with the function as C, D, and A, respectively.

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Answer:

1. (2x^2+x-1)

Step-by-step explanation:

expanding (2x^2-1)^2. multiplying (x-2) (1-2x)

= 4x^2-4x+1. = x-2x^2-2+4x

= -2x^2+5x-2

(4x^2-4x+1-2x^2+5x-2)

=2x^2+x-1

Answer:

1.) (2x - 1)(x + 1)

2.) a = 6 ; b = -1

4.a.) x = all rational numbers excluding (-2÷3)

4.b.) x = -1

4.c.) Yes. x = 1÷2

Step-by-step explanation:

E(x) = (2x - 1)² + (x - 2)(1 - 2x) F(x) = ax²-bx-2

F(1) = 5 ; F(-2) = 20

a-b=7 ; 4a+2b=22

3.Answer) Q(x) = 6x² + x - 2

= 6x² + 4x - 3x - 2

= (3x + 2)×(2x - 1)

Hence verified!

P(x) = E(x) ÷ Q(x)

= (x + 1)÷(3x + 2)

Here, x belongs to,

\(( - \infty \: to \: - 2 \div 3) union( - 2 \div 3 \: to \: \infty )\)

Means, except x = -2÷3 , all real numbers are valid excluding complex numbers.

P(x) = (x + 1)÷(3x +2) = 0

= > x = -1

Volume of a cylinder = pi x r^2 x h

R is the radius which is given as 2 inches.H is the height given as 6 inches.

Using 3.14 for pi:

Volume = 3.14 x 2^2 x 6

Volume = 75.36 cubic inches

Answer:

\(\large \sf {\underline{\underline{ \fcolorbox{green}{g}{vσlumє \: σf \: cчlíndєr \: ís \: 75.36 \: cuвíc \: ínchєs}}}}\)

Step-by-step explanation:

➟ Rαdíus σf cчlíndrícαl cαn ís 2 ínchєs.

➟ Hєíght f cчlíndrícαl cαn ís 6 ínchєs.

➟ Vσlumє σf cчlíndrícαl cαn.

➟ vσlumє σf cчlíndєr = π × r ² × hєíght

wє usєd fσrmulα

vσlumє σf cчlíndєr = π × r ² × hєíght

vσlumє σf cчlíndєr = 3.14 × (2 ínchєs) ² × 6 ínchєs

vσlumє σf cчlíndєr = 3.14 × 4 squαrє ínchєs × 6 ínchєs

vσlumє σf cчlíndєr = 3.14 × 24 cuвíc ínchєs

vσlumє σf cчlíndєr = 75.36 cuвíc ínchєs

Answer:

NEED OIL

Step-by-step explanation:

Answer:

4x + 16

Step-by-step explanation:

The area of the shaded region = area of the outer rectangle - area of the inner rectangle

Area of rectangle = l*w

Area of outer rectangle, where length (l) = (x + 5), and width (w) = (x + 4):

Area = (x + 5)(x + 4)

Expand

x(x + 4) +5(x + 4)

x² + 4x + 5x + 20

area of outer rectangle = x² + 9x + 20

Area of inner rectangle, where length (l) = (x + 4), and width (w) = (x + 1):

Area = (x + 4)(x + 1)

Expand

x(x + 1) +4(x + 1)

x² + x + 4x + 4

Area of inner rectangle = x² + 5x + 4

Area of shaded region = (x² + 9x + 20) - (x² + 5x + 4)

x² + 9x + 20 - x² - 5x - 4

Collect like terms together

x² - x² + 9x - 5x + 20 - 4

4x + 16

Area of the shaded region = 4x + 16

The correct choice is B. Fail to reject H0. There is not sufficient evidence to reject the claim that mean tuna consumption is equal to 3.9 pounds.

(a) The null and alternative hypotheses can be identified as follows:

Null hypothesis (H0): The mean tuna consumption by a person is 3.9 pounds per year.

Alternative hypothesis (Ha): The mean tuna consumption by a person is greater than 3.9 pounds per year.

Therefore, the correct choice for the null and alternative hypotheses is B. H0: μ ≤ 3.9, Ha: μ > 3.9.

(b) The standardized test statistic (z-score) can be calculated using the formula:

z = (x - μ) / (σ / √n)

where x is the sample mean, μ is the population mean, σ is the population standard deviation, and n is the sample size.

In this case:

x = 3.7 pounds

μ = 3.9 pounds

σ = 1.05 pounds

n = 70

z = (3.7 - 3.9) / (1.05 / √70) ≈ -1.02 (rounded to two decimal places)

Therefore, the standardized test statistic is approximately -1.02.

(c) To find the p-value, we need to calculate the probability of obtaining a test statistic as extreme as -1.02 under the null hypothesis. Since the alternative hypothesis is one-sided (μ > 3.9), we are interested in the right tail of the distribution.

Using a standard normal distribution table or calculator, the p-value for a z-score of -1.02 is approximately 0.154 (rounded to three decimal places).

(d) To decide whether to reject or fail to reject the null hypothesis, we compare the p-value to the significance level (α). In this case, α = 0.03.

Since the p-value (0.154) is greater than α (0.03), we fail to reject the null hypothesis.

Therefore, The right answer is B. Error in rejecting H0. The assertion that the average person consumes 3.9 pounds of tuna is not sufficiently refuted by the evidence.

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