The regular price of a desk is $97.98. This week, it is on sale for $94.96 off. What is the sale price of the desk?

Based on the text, the primary source of primate endangerment today is habitat destruction.

Habitat destruction is considered the primary source of primate endangerment based on various factors mentioned in the text. Primates, like many other species, heavily rely on their natural habitats for survival, including food, shelter, and breeding. However, human activities such as deforestation, urbanization, and land conversion for agriculture or infrastructure development have significantly reduced and fragmented primate habitats.

Habitat destruction leads to the loss of critical resources and disrupts the ecological balance necessary for primate populations to thrive. As their habitats shrink, primates face increased competition for limited resources, reduced access to food and water sources, and decreased opportunities for successful reproduction and rearing of offspring. This loss of habitat also exposes primates to increased vulnerability to predation, disease transmission, and human-wildlife conflicts.

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Answer:

x ≈ 7.9 ft

Step-by-step explanation:

cos∅ = adjacent over hypotenuse

Since we are dealing with a right triangle, we can use trigonometry to help us solve for missing values:

cos44° = x/11

11cos44° = x

x = 7.91274

x ≈ 7.9 ft

The minutes if the wait times are in the longest 10% is 28.40

Given that

Mean = 24.3

Standard deviation = 3.2

Wait time = 10%

This means that

z-score = (1 - 10%)

z-score = 90% i.e. the 90th percentile

The z-score at the 90th percentile is 1.282

So, we have

z = 1.282

The number of minutes (x) is then calculated as

z = (x - μ) / σ

So, we have

1.282 = (x - 24.3) / 3.2

x - 24.3 = 3.2 * 1.282

x = 24.3 + 3.2 * 1.282

x = 28.40

Hence, the minutes if the wait times are in the longest 10% is 28.40

This means that

z-score = 15% i.e. the 15th percentile

The z-score at the 15th percentile is -1.0364

So, we have

z = -1.0364

The number of minutes (x) is then calculated as

z = (x - μ) / σ

So, we have

-1.0364 = (x - 24.3) / 3.2

x - 24.3 = 3.2 * -1.0364

x = 24.3 + 3.2 * -1.0364

x = 20.98

Hence, the minutes if the wait times are in the shortest 15% is 20.98

This means that

z = 25th to 75th percentile

So, we have

z(25th) = -0.675

z(75th) = 0.675

Using the z-score formula, we have

x = 24.3 ± 3.2 * 0.675

x = 24.3 ± 2.16

x = (24.3 - 2.16, 24.3 + 2.16)

x = (22.14, 26.46)

This means that

Hence, the wait times for the middle 50% of wait times for diners are between 22.14 and 26.46 minutes

This means that

z = 15th to 85th percentile

Using the z-score formula, we have

x = 24.3 ± 3.2 * 1.0364

x = 24.3 ± 3.32

x = (24.3 - 3.32, 24.3 + 3.32)

x = (20.98, 27.62)

This means that they have to wait between 20.98 minutes and 27.62 minutes

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The given expression is of the form y=mx+c. Comparing, we get the slope as 7.

The direction and steepness of a line are represented numerically by the slope or gradient of the line. It provides the ratio of how much y rises when x rises by a particular amount. The general form is therefore y=mx+c, where c represents the y-intercept and m represents the slope. This form gives the slope-intercept form.

Given the expression is  y=7x+3. Comparing this expression with the general form we get, slope or gradient as 7 and y-intercept as 3. Therefore, the required answer is 7.  

The complete question -

What is the gradient of the line y=7x+3?

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Answer: v = 7

Step-by-step explanation:

1. Distribute

3 (3v - 4) = 51

9v - 12 = 51

2. Add 12 to both sides

9v - 12 = 51

+ 12         + 12

3. Cancel out 12 + 12

51 + 12 = 63

9v = 63

4. Divide 9 on both sides

9v/9 = 63/9

5. Cancel out 9v/9

v = 7

to properly examine the effect of a categorical independent variable in a multiple linear regression model we use an interaction term then it is a true statement

we have given that the by which method we use the different levels of a qualitative independent variable and we have to explain about it.

So, For his purpose, we know that the

A dummy variable is a variable that takes values of 0 and 1, where the values indicate the presence or absence of something.

And in the multiple regression method there are a lot of different variables which are used for a qualitative and for this a variable is used which is called the dummy variables.

By this variables we show the analysis between the given data. it gives the output in the 0 and 1 numbers.

So, For the levels of qualitative, the variable called dummy variables is used in the multiple regression method.

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7 TURKEY AND 13 HAM

I USED CALCULATOR BTW

The building, the ladder, and the ground form a right triangle as shown below:

The ladder is the hypotenuse of the triangle and the height H and the horizontal distance (3 ft) are the legs.

Applying the Pythagora's Theorem:

Solving for H:

The building is 10.58 feet tall

The correct rule to describe the function g as a function of f and gives the correct rule is that g(x) = 3x³-6x²+21x-33.

This function is obtained by multiplying the function f(x) by a constant, which in this case is 3.

The correct rule to describe the function

g(x) = 3f(x)

in terms of the function f(x) = x³-2x²+7x-11 is that

g(x) = 3(x³-2x²+7x-11) and thus

g(x) = 3x³-6x²+21x-33.

In order to obtain the function g(x) from the given function f(x), it is necessary to multiply it by a constant, in this case 3.

Therefore, g(x) = 3f(x) means that g(x) is three times f(x).

Thus, we can obtain g(x) as follows:

g(x) = 3f(x) = 3(x³-2x²+7x-11) = 3x³-6x²+21x-33

Therefore, the correct rule to describe the function g as a function of f and gives the correct rule is that

g(x) = 3x³-6x²+21x-33.

This function is obtained by multiplying the function f(x) by a constant, which in this case is 3.

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Answer:

71 is about 72, and 33% is about 1/3, so 33% of 71 is approximately 1/3 × 72 = 24.

.33 × 71 = 23.43, so the approximation is reasonable

Answer: A

because It has 1 one 2 twos 3 threes 2 fours 1 five And 1 six

To solve the inequality -1/4a > 3a, we need to first multiply both sides by -4 to get rid of the fraction:
-1a > 12a
Next, we can subtract 12a from both sides to get:
-13a > 0
Dividing both sides by -13 gives us:
a < 0

To solve the inequality b – 12 > -3, we can add 12 to both sides:
b > 9

Now we need to find values of a and b that satisfy both inequalities. Since a < 0, we can try any negative value of a. Let's try a = -1:

-1/4(-1) > 3(-1)
1/4 > -3

This inequality is true, so we can move on to the next inequality. Let's plug in a = -1 and see if it satisfies b > 9:

b – 12 > -3
b > 9

Since -1 satisfies both inequalities, the values that make both inequalities true are: a = -1 and any value of b greater than 9.

Check below, please

1) The way to tackle this problem, is by dividing those numerators by the denominators so we can get the decimal form of each fraction, and count the marks to plot them.

2) Let's divide them:

So now, we can plot them:

Thus, this the answer.

Approximately 22.65 milligrams will remain after 53 hours.

To determine the number of milligrams that will remain after 53 hours, we can use the formula for exponential decay:

N(t) = N₀ * e^(-kt),

where:

N(t) represents the remaining amount at time t,

N₀ is the initial amount,

k is the decay constant,

and e is the base of the natural logarithm.

Given that after 8 hours, 50 mg of the substance remains, we can set up an equation:

50 = 100 * e^(-8k).

To find the decay constant k, we can rearrange the equation:

e^(-8k) = 50 / 100,

e^(-8k) = 0.5.

Taking the natural logarithm (ln) of both sides:

-8k = ln(0.5).

Now, let's solve for k:

k = ln(0.5) / -8 ≈ -0.08664.

With the decay constant determined, we can find the remaining amount after 53 hours:

N(53) = 100 * e^(-0.08664 * 53).

Calculating this value:

N(53) ≈ 100 * e^(-4.59192) ≈ 22.65.

Therefore, approximately 22.65 milligrams will remain after 53 hours.

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Answer:

15000

Step-by-step explanation:

Answer:

15kg = 15,000 grams

Step-by-step explanation:

hope this helped if it did mark brainlest

and let me know

Approximately 8.195 liters of water would be required for the hiker to walk 25 kilometers in Death Valley and maintain good hydration.

To calculate the approximate number of liters of water required for a hiker to walk 25 kilometers in Death Valley and stay healthy, we need to convert the distance from kilometers to miles and then use the given ratio of one quart of water for every two miles traveled on foot.

To convert kilometers to miles, we can use the conversion factor of 1 kilometer = 0.621371 miles.

Thus, 25 kilometers is approximately 15.534 miles (25 × 0.621371).

According to the given ratio, the hiker requires one quart of water for every two miles traveled on foot.

Since one quart is equivalent to 0.946353 liters, we can calculate the approximate number of liters of water required for the hiker as follows:

Number of liters = (Number of miles traveled / 2) × (1 quart / 0.946353 liters)

For the hiker walking 15.534 miles, the approximate number of liters of water required can be calculated as:

Number of liters = (15.534 / 2) × (1 quart / 0.946353 liters) = 8.195 liters

Therefore, approximately 8.195 liters of water would be required for the hiker to walk 25 kilometers in Death Valley and maintain good hydration.

It is important to note that this is an approximation and actual water requirements may vary depending on individual factors and conditions.

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ANSWER and EXPLANATION

a) To simplify the radical, we have to:

1) First, express the number inside the radical as a product of a perfect square and a number that is not a perfect square.

2) Next, we separate the numbers into two radicals and find the square root of the perfect square.

3) Finally, we find the product of the number and the remaining radical.

B) Following the steps above:

STEP 1

STEP 2

STEP 3

Answer:

7

Step-by-step explanation:

I hope this helps!

The quotient of −105 and −15 is 7. Therefore, option B is the correct answer.

We need to find the quotient of −105 and −15.

The number results from the division of one number by another.

Now, −105÷(-15)=7

Therefore, option B is the correct answer.

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Answer:

x = 65°

Step-by-step explanation:

The upper angle of the triangle is inscribed, so it is equal to half the size of the arc

Let's call this angle α:

\( \alpha = \frac{100°}{2} = 50°\)

Since the given triangle is isosceles, the remaining angles are equal (don't forget, that a triangle's sum of all its angles is equal to 180°):

\(2x + 50° = 180°\)

\(2x = 180° - 50°\)

\(2x = 130°\)

Divide both sides of the equation by 2 to make x the subject:

\(x = 65°\)

AB and AC are equal in length and are represented by x, while BC (the hypotenuse) is √2 times the length of either leg.

We have,

The given triangle is an isosceles triangle.

So,

The angles opposite to the equal sides are equal.

The other angle = 90

Now,

The sum of the triangle = 180

So,

90 + 2x = 180

2x = 180 - 90

2x = 90

x = 45

Now,

In a right triangle with ∠A = 90 degrees, ∠B = 45 degrees, and ∠C = 45 degrees, we have a special case known as a 45-45-90 triangle.

In a 45-45-90 triangle, the sides are in a specific ratio: 1 : 1 : √2.

Let's use this ratio to find the lengths of the sides:

Since AB = AC, let's denote both lengths as x.

AB = AC = x

BC is the hypotenuse, which is √2 times the length of either leg:

BC = √2x

So, the lengths of the sides are:

AB = AC = x

BC = √2 * x

Therefore,

AB and AC are equal in length and are represented by x, while BC (the hypotenuse) is √2 times the length of either leg.

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2x:3y=4:8 is correct because it states that for every 2 units of x, there are 3 units of y, so the ratio of x to y is 4:8.

A. 2x:4y=4:8

B. 4x:2y=2:4

C. 4x:2y=4:8

D. 2x:4y=2:4

E. 3x:2y=2:4

F. 2x:3y=4:8

B, C, F

B. 4x:2y=2:4 is correct because it states that for every 4 units of x, there are 2 units of y, so the ratio of x to y is 2:4.

C. 4x:2y=4:8 is correct because it states that for every 4 units of x, there are 2 units of y, so the ratio of x to y is 4:8.

F. 2x:3y=4:8 is correct because it states that for every 2 units of x, there are 3 units of y, so the ratio of x to y is 4:8.

the complete question is :

Kiesha and her classmates wrote proportions for the reduction of a triangle. Which proportions are set up correctly? select three options.

A. 1/2:2/3:3/4

B. 3/2:2/3:1/4

C. 1/2:2/4:3/6

D. 1/4:2/3:4/5

E. 2/3:3/4:4/5

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2x:4y=4:8

B. 4x:2y=2:4

C. 4x:2y=4:8

D. 2x:4y=2:4

E. 3x:2y=2:4

F. 2x:3y=4:8

B, C, F

B. The formula 4x:2y=2:4 is accurate because it says that there are 2 units of y for every 4 units of x, making the x:y ratio 2:4.

C. 4x:2y=4:8 is true because it says that there are 2 units of y for every 4 units of x, making the x:y ratio 4:8.

F. 2x:3y=4:8 is true because it says that there are 3 units of y for every 2 units of x, making the x to y ratio 4:8.

Answer:

gsgdjdjchdvvdbdjzjsjsushsvvsvsvs I don't know

Answer:

see explanation

Step-by-step explanation:

h(- 3) with x = - 3, that is x ≠ 1 , then

h(- 3) = - \(\frac{1}{2}\) (- 3) + 2 = \(\frac{3}{2}\) + 2 = \(\frac{7}{2}\)

h(1) with x = 1 , then

h(1) = 1

h(3) with x = 3, that is x ≠ 1 , then

h(3) = - \(\frac{1}{2}\) (3) + 2 = - \(\frac{3}{2}\) + 2 = \(\frac{1}{2}\)

The claim states that if 3a - 5b is not divisible by 4, then gcd(a, b) is not equal to 1. We can prove this claim by contrapositive reasoning, assuming gcd(a, b) = 1 and showing that if 3a - 5b is not divisible by 4, then gcd(a, b) is not equal to 1.

To prove the claim by contrapositive, we assume gcd(a, b) = 1 and show that if 3a - 5b is not divisible by 4, then gcd(a, b) is not equal to 1.
Assume 3a - 5b is not divisible by 4. We want to show that gcd(a, b) is not equal to 1.
Suppose gcd(a, b) = 1. This means that a and b have no common factors other than 1.
Now, let's consider the expression 3a - 5b. Since a and b have no common factors other than 1, their linear combination 3a - 5b cannot eliminate the factor of 2 in the denominator of 4.
If 3a - 5b is not divisible by 4, it implies that there is a factor of 2 remaining in the expression. This means that gcd(a, b) is not equal to 1.
Therefore, by contrapositive reasoning, if 3a - 5b is not divisible by 4, then gcd(a, b) is not equal to 1.

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Answer:

comparing the means of three or more groups

Step-by-step explanation:

if  RS=x+4, ST=8 and RT=3x then value of RS is 10 units.

Two or more expressions with an Equal sign is called as Equation.

Given that RS=x+4, ST=8 and RT=3x

We have to find RS

RS=RT-ST

x+4=3x-8

Take the variable terms on one side and constants on other side

12=2x

Divide both sides by 2

x=6

So RS is 6+4=10 units

Hence, if  RS=x+4, ST=8 and RT=3x then value of RS is 10 units.

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Answer:

hi

Step-by-step explanation:

hi

The number of students that leave by bus or car is given as follows:

5801 students.

The union and intersection sets of multiple sets are defined as follows:

The or operation is equivalent to the union operation, meaning that we add the number of students that leave by bus to the number of students that leave by car.

Hence the number of students that leave by bus or car is given as follows:

3232 + 2549 = 5801 students.

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Answer. I think is A

Step-by-step explanation: