2. Which expression is equivalent to 5-(-8)?
A (-5) + 8 B 8+5
C 8-5
D 5-8

Answer:

the antelope is 5280 feet the cougar is 4224 feet the hare is 4136 feet the kangaroo is 3520 feet and the coyote is 3773 feet the ostrich is 3773 feet hope this helps the answer is the antelope

Answer: -14

Step-by-step explanation:

−110+96

Add −110 and 96 to get −14.

−14

Answer: -14

Step-by-step explanation:

In this case, it's best you bring out the negative

- (110 - 96)

- (14)

= -14

Number 1

Area in the garden in plan A = Length x breadth = 12 ft x 9 ft = 108 ft^2

For garden in plan B, area = pie x r x r = 3.14 x 5 x 5 = 78.5 ft^2

Number 2

The area of the deck, not including the garden, in plan A is given as

Area of the whole Deck minus Area of the garden

= (18 ft x 25 ft) - 108 ft^2

=450 ft^2 - 108 ft^2

= 342 ft^2

The area of the deck, not including the garden, in plan B is given as

Area of the whole Deck minus Area of the garden

= (16 ft x 20 ft) - 78.5 ft^2

= 320ft^2 - 78.5 ft^2

=241.5 ft^2

Number 3

The cost for installing the deck in plan A = 4.20 x 342 = $1436.40

The cost for installing the deck in plan B = 4.20 x 241.5= $1014.30

Number 4

The cost for installing the garden in plan A = 1.40 x 108 = $151.20

The cost for installing the garden in plan B = 1.40 x 78.5 = $109.90

Number 5

Total cost of deck and garden for plan A = $1436.40 + $151.20 = $1587.6

Total cost of deck and garden for plan B = $1014.30 + $109.90 = $1124.20

Difference in cost between both plans = $1587.6 - $1124.2 = $463.4

By comparing the cost of both plans, we realized the cost of plan B is cheaper than the cost of plan A, therefore, Plan B is less expensive by $ 463.4



Answer:

B

Step-by-step explanation:

using the rule of exponents

\(a^{m}\) ÷ \(a^{n}\) = \(a^{(m-n)}\) , then

\(6^{9}\) ÷ 6³ = \(6^{(9-3)}\) = \(6^{6}\)

The points that will lie on the line will be (0, 0) , (1, - 25) , (- 1, 25).

The general equation of a straight line is : y = mx + c.

[m] is called slope and it tells the unit rate of change in [y] with respect to [x].

[c] is called the [y] - intercept.

We have some points that lie on a line that passes through the origin with a slope of −25.

The equation of a straight line that passes through the origin and has slope of -25 will be -

y = - 25x

The points that will lie on the line will be -

(0, 0) , (1, - 25) , (- 1, 25)

Therefore, the points that will lie on the line will be (0, 0) , (1, - 25) , (- 1, 25).

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The density of the cheese ball, rounded to the nearest hundredth, is approximately 0.28 ounces per cubic inch.

To find the density of Jana's cheese ball, we need to use the given information and the formula for the volume of a sphere.

The provided information is:
Weight (mass) = 32 ounces
Radius = 3 inches
First, we need to find the volume of the cheese ball using the formula for the volume of a sphere:
V = (4/3)πr³
Where V is the volume, and r is the radius.

Plug in the radius (r = 3 inches) into the formula:
V = (4/3)π(3)³
Calculate the volume:
V ≈ \((4/3) \times  3.14 \times 27\)
V ≈ 113.04 cubic inches
Now that we have the volume, we can find the density using the formula:
Density = Mass / Volume
Plug in the mass (32 ounces) and the calculated volume (113.04 cubic inches) into the formula:
Density ≈ 32 / 113.04
Calculate the density:
Density ≈ 0.283 ounces per cubic inch
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Answer:

2 real zeros at x = - 2 , x = 1

Step-by-step explanation:

f(x) = x² + x - 2

to find the zeros let f(x) = 0 , that is

x² + x - 2 = 0 ← in standard form

(x + 2)(x - 1) = 0 ← in factored form

equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

x + 1 = 0 ⇒ x = - 1

there are 2 real zeros , x = - 2 and x = 1

Answer: 430 cm²

Step-by-step explanation:

1) Front x Back=  15 x 7  x 2= 210 (We do time 2 because there are two of the same shapes ex. there are two squares that are both 16 ft so just do 16 x 2)

2) Right x Left=  7 x 5 x 2 = 70

3) Top x Bottom=  15 x 5 x2 = 150

4) Add. 150 + 210 + 70 = 430 cm²

Hope that helped! :)

Answer:

x=4, x=-4

Step-by-step explanation:

x^2-16=0

Add 16 to both sides;

x^2-16+16=0+16

Simplify;

x^2=16

x=\(\sqrt{16}\), x\(-\sqrt{16}\)

\(\sqrt{16}\)

=4

factor the number;16

\(\sqrt{4^2}\)

=\(\sqrt{4}\)

-\(\sqrt{16}\)

Factor the number 16;

\(\sqrt{4^2}\)

=-4

Answer:

Step-by-step explanation:

Using distance formula (search it up, it's BIG) we start by plugging in the coordinates. the second x coordinate minus the first x coordinate is equal to -2 - - 4. You can't subtract a negative from an negative, so you add them.  We change it to -2 + + 4 which equals 2. According to the distance formula (look it up), we square that (meaning it's equal to 4) and add it to the y value. The y value is equal to the second y coordinate minus the first y coordinate. This is represented by -3 - 0. This equals -3, but according to the distance formula, we square it which makes it equal to 6. Now, what do we do with the numbers 6 and 4? Following the distance formula, we add them which is equal to 10. Now we are left with the square root of 10 according to the distance formula. Your answer is the square root of 10 or in decimal form, 3.162277......... I hope this helped!

Step-by-step explanation:

hear Is your answer check

Answer:

Step-by-step explanation:

     | Male | Female | Total

------|------|--------|-------

Overweight | 15 | 36 | 51

Not Overweight | 85 | 64 | 149

------|------|--------|-------

Total | 100 | 100 | 200

Now, we can test the hypothesis that the two genders are homogeneous with respect to being overweight using a chi-square test. The null hypothesis is that there is no association between gender and overweight status.

The formula for the chi-square test is:

χ² = Σ [(O - E)² / E]

Where:

χ² = chi-square value

O = observed frequency

E = expected frequency

To calculate the expected frequency, we can use the formula:

E = (row total x column total) / grand total

Using this formula, we can calculate the expected frequencies for each cell of the contingency table:

     | Male | Female | Total

------|------|--------|-------

Overweight | 12.75 | 38.25 | 51

Not Overweight | 87.25 | 61.75 | 149

------|------|--------|-------

Total | 100 | 100 | 200

Now we can use the formula for the chi-square test to calculate the chi-square value:

χ² = [(15 - 12.75)² / 12.75] + [(36 - 38.25)² / 38.25] + [(85 - 87.25)² / 87.25] + [(64 - 61.75)² / 61.75]

χ² = 1.06 + 0.76 + 0.68 + 0.56

χ² = 3.06

Next, we need to determine the degrees of freedom (df) for our test. For a contingency table with r rows and c columns, the degrees of freedom are (r-1) x (c-1). In this case, we have 2 rows and 2 columns, so our degrees of freedom are:

df = (2-1) x (2-1) = 1

We can then use a chi-square distribution table or a statistical software program to determine the critical value of chi-square for our chosen level of significance and degrees of freedom. For a significance level of 0.05 and 1 degree of freedom, the critical value of chi-square is 3.84.

Since our calculated chi-square value of 3.06 is less than the critical value of 3.84, we fail to reject the null hypothesis. This means that there is not enough evidence to conclude that there is a significant association between gender and overweight status among diabetic patients.

Therefore , as a result Two of a triangle's sides and the included  SAS angle are said to be congruent if they match the corresponding sides and angles of another triangle.

The Side-Angle-Side rule is applied to check the congruence of a set of triangles. The SAS rule states that a triangle is congruent if its two sides and included angles match those of another triangle.

Here,

if the first triangle's two sides and one of its included angles are equal to the second triangle's sides and one of its included angles.

Consequently, the SAS declares two triangles to be congruent. Two triangles are said to be congruent if their matching two sides and their included angles are found in a single triangle, according to the SAS theorem of congruence.

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Answer:

(-1,-4)

(0,-2)

The answer is

(-1,-4)

(0,-2)

This is correct because im not in 2nd grade

Answer:

I believe it's 7 cups.

Step-by-step explanation:

I did 3/2 times 4 + 1/4 times 4 which gave me 7.  

Please let me know if this works for you. Double check first.

Another way you could do this is by adding both fractions 3/2 + 1/4

to get 7/4 and multiply 7/4 by 4.        so,   3/2 + 1/4= 7/4       7/4  x   4   =   7

The ordered pair solutions for the system of equations are:

(4, 5) and (-1, 0).

We have,

To find the ordered pair solutions for the system of equations, we need to solve the equations simultaneously.

The given equations are:

f(x) = x² - 2x - 3

f(x) = x + 1

Since both equations are equal to f(x), we can set them equal to each other:

x² - 2x - 3 = x + 1

Now, let's solve this quadratic equation:

x² - 2x - 3 - x - 1 = 0

x² - 3x - 4 = 0

To solve this quadratic equation, we can either factor it or use the quadratic formula.

Let's use the quadratic formula:

x = (-b ± √(b² - 4ac)) / (2a)

For our equation,

a = 1, b = -3, and c = -4.

Substituting these values into the quadratic formula:

x = (-(-3) ± √((-3)² - 4(1)(-4))) / (2(1))

x = (3 ± √(9 + 16)) / 2

x = (3 ± √25) / 2

x = (3 ± 5) / 2

We have two possible solutions:

When x = (3 + 5) / 2 = 8 / 2 = 4

When x = (3 - 5) / 2 = -2 / 2 = -1

Therefore, the ordered pair solutions for the system of equations are:

(4, f(4)) and (-1, f(-1))

Now, let's substitute these values into either equation to find the corresponding y-values (f(x)):

For x = 4:

f(4) = 4 + 1 = 5

So, one solution is (4, 5).

For x = -1:

f(-1) = -1 + 1 = 0

So, another solution is (-1, 0).

Therefore,

The ordered pair solutions for the system of equations are:

(4, 5) and (-1, 0).

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Answer:  first choice is correct

Step-by-step explanation:

\(\sqrt{10} = 3.16\\\\ \sqrt{13} = 3.6\)

22/9 = 2.44

Therefore Point A is 22/9, Point B is \(\sqrt{10}\),  Point C is \(\sqrt{13}\)

Loudness, pitch, and timbre are the three psychological aspects of sound that are influenced by the physical properties of sound waves.

When energy moves through a medium (such as air, water, or any other liquid or solid matter), it creates a pattern of disturbance known as a sound wave that propagates away from the sound source.

When an object vibrates, sound waves are produced that are similar to pressure waves, like when a phone rings.

Pitch, intensity, and timbre are three key components of the field of sound psychology or psychoacoustics. People can distinguish the harmonics of a complex periodic sound wave under certain conditions thanks to the way that humans perceive sound and music.

Thus, loudness, pitch, and timbre are the three psychological aspects of sound that are influenced by the physical properties of sound waves.

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Answer:

Just substitue every 't' with -4

Step-by-step explanation:

g(-4) = 3*(-4)*(-4) + 2*(-4) + 1

g(-4) = 64-8+1

g(-4) = 57

Answer:

g(-4) is 41

Step-by-step explanation:

\(g(t) = 3 {t}^{2} + 2t + 1\)

when t is -4, substitute -4 in place of t:

\(g( - 4) = 3 {( - 4)}^{2} + 2( - 4) + 1 \\ g( - 4) = 48 - 8 + 1 \\ g( - 4) = 41\)

The probability that the friend is between 10 and 30 minutes late is approximately 0.6667, or 66.67%.

Since the probability density function is uniform, the probability of the friend being between 10 and 30 minutes late is equal to the area of the rectangle that lies between x = 10 and x = 30, and below the curve of the probability density function.

The height of the rectangle is equal to the maximum value of the probability density function, which is 1/30 since the interval of possible values for x is [0, 30] minutes.

The width of the rectangle is equal to the difference between the upper and lower limits of the interval, which is 30 - 10 = 20 minutes.

Therefore, the probability of the friend being between 10 and 30 minutes late is:

P(10 < x < 30) = (height of rectangle) x (width of rectangle)

= (1/30) x 20

= 2/3

≈ 0.6667

So the probability that the friend is between 10 and 30 minutes late is approximately 0.6667, or 66.67%.

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The amount of money that Katelyn’s brother borrowed for school would be = $ 2,000.

Interest in the amount of money that an individual pays in extra with a borrowed amount of money either from an individual or from the bank.

The formula for simple interest= Principal ×Time × Rate/100

Rate of payment= 6%

Time = 6 years

Simple interest = $720

Principal= X

From the formula above, make principal the subject of formula;

Principal = SI × 100/ T× R

= 720 × 100/ 6×6

= 72000/36

=$ 2,000

Therefore, the amount of money that Katelyn’s brother borrowed for school is $2,000.

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Answer:

100 miles

Step-by-step explanation:

Let m be the number of miles.

\(100 + .30m = 50 + .80m\)

\(100 = 50 + .50m\)

\(.50m = 50\)

\(m = 100\)

Answer:

100

Step-by-step explanation:

You can put into a graph such as desmos and see where the lines intersect. the x value of the intersection is the answer you want.

Answer:

yes

Step-by-step explanation:

An arbitrary right triangle can be partitioned into isosceles triangle by drawing a median from the right angle to the hypotenuse.

Right angled triangle are those triangle for which one of the angle is 90 degrees.

Let's take a right angled triangle ΔABC.

Let C be the right angle in this triangle.

Then AB will be the longest side of the triangle, which is the hypotenuse.

Median of a triangle is the line segment joining the vertex to the midpoint  of the opposite side of the triangle.

Suppose we draw a median from C to the midpoint of AB intersecting AB at a point P.

Then there are two triangles formed ΔAPC and ΔBPC.

AP = BP since P is the midpoint of AB.

PC = PC is the common side for both triangles.

So ΔAPC and ΔBPC are isosceles triangles, because two sides are equal.

Hence any right triangle can be partitioned into two isosceles triangles this way.

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This causes the volume of the balloon to decrease, leading to an increase in the number of collisions between gas particles and the inside surface of the balloon, and causing the balloon to shrink and shrivel up.

Temperature is a measure of the average kinetic energy of the particles in a substance or system. In other words, it is a measure of how hot or cold something is relative to a standard reference point. The SI unit of temperature is the kelvin (K), but temperature is often measured in degrees Celsius (°C) or Fahrenheit (°F) in everyday life. Temperature plays a crucial role in many natural and man-made processes, and is a key factor in determining the behavior of matter at different states.

Here,

When a sealed, inflated balloon is placed into a flask of liquid nitrogen at a temperature of 77 K, the gas particles inside the balloon lose thermal energy and slow down. As the temperature drops, the average kinetic energy of the gas particles decreases, causing them to move slower and collide less frequently. This results in a decrease in pressure inside the balloon.

According to the Ideal Gas Law, PV = nRT, where P is the pressure of the gas, V is its volume, n is the number of moles of gas, R is the gas constant, and T is the temperature in Kelvin. As the pressure inside the balloon decreases, its volume also decreases, since the number of moles of gas and the gas constant remain constant.

Since the balloon is sealed, the gas particles cannot escape, so they continue to collide with each other and the inside surface of the balloon. As the volume of the balloon decreases, the gas particles become more crowded, increasing the number of collisions between them. This leads to a decrease in the distance between the gas particles and the inside surface of the balloon, causing the balloon to shrink and shrivel up.

In summary, when a sealed, inflated balloon is placed into a flask of liquid nitrogen at a temperature of 77 K, the gas particles inside the balloon lose thermal energy, slow down, and collide less frequently, resulting in a decrease in pressure inside the balloon.

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Answer:

D. both a and c

Step-by-step explanation:

We want to find the x value when the y value is 1

There are two x values when the y value is 1

When x = -1.5  y=1  and when x = 9  y = 1

The height of the ball at the time it is thrown is 6.

The measurement of an object's height from the bottom to the top is referred to as its height. It is sometimes referred to as altitude in geometry. The vertical distance between the lowest and highest point is measured. In coordinate geometry, it is often the measurement along the y-axis of an object. Height is a basic physical characteristic that is commonly expressed in feet ( ft ) plus inches (in) in the United States and centimeters (cm) in other countries. The SI unit would be meters since these are length measurements.

Given,

The height of the ball will be zero when it touches the ground. We may calculate the time at which the ball will reach the ground by setting the value of h(x) in the given equation to zero.

0 = -(x -2)² + 16

16 = (x -2)²

x - 2 = √16

x - 2 = 4

x = 4+2

x = 6

The height of the ball at the time it is thrown is 6.

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According to the quantity theory of money, changes in the money supply will lead directly to changes in the price level if velocity and real GDP are unaffected by the change in the money supply.Velocity can change over time, and changes in velocity may be caused by various factors.

For example, changes in velocity can be caused by shifts in payment practices, changes in the use of credit, changes in the availability of bank deposits or cash, or shifts in demand patterns.Changes in velocity may be related to changes in the money supply.

For example, if the money supply increases, the demand for money may increase, causing the velocity of money to decrease. Conversely, if the money supply decreases, the demand for money may decrease, causing the velocity of money to increase.

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