g(t)=t^2+2th(t) = 3t-3Find g(0)•h(0)

The sale price of coat is $180 and the sale price of boot is $284 when 20% off a coat and a pair of boots are now  on sale.

Given that,

20% off a coat and a pair of boots are now  on sale. The coat normally sells for $225. The boots cost $130 on the open market.

We have to find the coat's sale price and what is the cost of the boots on sale.
We know that,

The formula for the sales price is S = P - PD

Where, S is sales price, P is the original price and D is the discount percent.

P = 225 and D = 20%

S = 225 - 225 × 20%

S = 225 - 45

S = $180 is the sale price of coat.

Now,

Total regular price = 225 + 130 = 355

S = 355 - 355 × 20%

S = $284 is the sale price of boots.

Therefore, The sale price of coat is $180 and the sale price of boot is $284.

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Y = mx + b, where m denotes the slope and b the y-intercept, is how the equation of the line is expressed in the slope-intercept form. We can see that the y-intercept of the line in our equation, y = 7 x + 4, is 4.

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The length of BD is 18.5 units.

In the given right triangle ABC, with altitude BD drawn to hypotenuse AC, we are given the lengths AD = 22 and DC = 15. We need to find the length of BD.

Let's consider triangle ABD. Since BD is the altitude, it divides the right triangle ABC into two smaller right triangles: ABD and CBD.

In triangle ABD, we have the following sides:

AB = AD = 22 (given)

BD = ?

Now, let's consider triangle CBD. In this triangle, we have the following sides:

BC = DC = 15 (given)

BD = ?

Since triangles ABD and CBD share the same base BD, and their heights are the same (BD), we can say that the areas of these triangles are equal.

The area of triangle ABD can be calculated as:

Area(ABD) = (1/2) * AB * BD

Similarly, the area of triangle CBD can be calculated as:

Area(CBD) = (1/2) * BC * BD

Since the areas of ABD and CBD are equal, we can equate their expressions:

(1/2) * AB * BD = (1/2) * BC * BD

We can cancel out the common factor (1/2) and solve for BD:

AB * BD = BC * BD

Dividing both sides of the equation by BD (assuming BD ≠ 0), we get:

AB = BC

In triangle ABC, the lengths AB and BC are equal, which implies that triangle ABC is an isosceles right triangle. In an isosceles right triangle, the leg's length are congruent, so AB = BC = AD = DC.

BD is equal to half of the hypotenuse AC:

BD = (1/2) * AC

Substituting the given values, we have:

BD = (1/2) * (AD + DC) = (1/2) * (22 + 15) = (1/2) * 37 = 18.5

Therefore, the length of BD is 18.5 units.

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Answer:

\(4\sqrt{2}\)

Step-by-step explanation:

Use the distance equation

\(\sqrt{(x1-x2)^2+(y1-y2)^2}\)

insert values (5,-2)=(x1,y1) and (1,2)=(x2,y2)

\(\sqrt{(5-1)^2+((-2)-2)^2}\)

\(\sqrt{16+16}\)

\(4\sqrt{2}\)

Hope that helps :)

Answer:

Standard Form            

f(x)=10x2-7x-12

Vertex Form

  y=10(x-720)^2-52940

Step-by-step explanation:

The range of the expression is: 4.2  < √5 + 2 < 4.3.

For the stated question;

2.2 < √5  <2.3  .....eq 1

To find the range of √5 +2.

2.2 + 2 < √5 + 2 <2.3 +2

4.2  < √5 + 2 < 4.3

Thus, the range of the expression is: 4.2  < √5 + 2 < 4.3.

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Answer:

A.

Step-by-step explanation:

Let's think of this as a clock.  We can see that the 2 lines start in the same place, around 3 o'clock.  Next, one of the line segments shifts down to around 6 o'clock.  Next, it shifts to about 9 o'clock.  Logically, the next step (in a clock) would be 12 o'clock, making A the correct choice.

We can also just use a regular circle, with one of the line segments moving 90 degrees each time.

Hope this helps! :)

The linear function that relates y to x is given as follows:

y = -0.5x + 57.

The slope indicates that the height decays 0.5 feet per minute. The y-intercept indicates that the descent starts at a cruising altitude of 57 feet.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

The coefficients m and b represent the slope and the intercept, respectively, and are explained as follows:

From the table, when x = 0, y = 57, hence the intercept b is given as follows:

b = 57.

When x increases by 10, y decays by 5, hence the slope m is given as follows:

m = -5/10

m = -0.5.

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Answer:0.8p+1 and 1+0.8p

Step-by-step explanation:

0.5p+0.3p=0.8p

7-6=+1

0.8p+1

and

Swap both numbers

(0.5p+7)+(0.3p-6)=1+0.8p

Answer:

the total must be 180

40 + 70 + X = 180

the third one is = D.70

Step-by-step explanation:

Answer:

80 degrees

Step-by-step explanation:

angles in a triangle add up to 180 degrees

35+65=100

180-100=80 degrees

Answer:

400

Step-by-step explanation:

Answer:

Step-by-step explanation:

Percent means per one hundred so

p/100=5/8

p=500/8

p=62.5%

So 62.5% have paid their yearly fees.

400(5/8)=250

250 members have paid their fees.

The meaning of \(\( \mathbb{N}=\bigcap \left \{X:X inductive \right \}\) is that the set of natural numbers is the intersection of all inductive sets.

The set of natural numbers is inductive because it satisfies both of these conditions. The set is non-empty because it contains the number 1. And if x is a natural number, then x+1 is also a natural number.

In other words, a set is inductive if it satisfies the following two conditions:

The concept of an inductive set is important in mathematics because it allows us to define the set of natural numbers.

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Answer:

Step-by-step explanation:

Its is

6CM wide. as to find the area we have to times the length x height :)

Answer:

wide = 6 cm

Step-by-step explanation:

\(t=tall=10\)

\(w=wide=?\)

\(P=perimeter=32\)

The equation:

\(P=2t+2w\)

\(32=2(10)+2w\\32=20+2w\)

\(32-20=2w\\12=2w\)

\(\frac{12}{2} =w\)

\(6=w\)

Hope this helps.

Answer:

Kyle runs 0.1 miles every minute.

Step-by-step explanation:

Answer:

It would affect the mean, range, and standard deviation

Step-by-step explanation:

I got this right on the test :)

Given statement solution is :-  The Vector Calculations and Addition results are as follows:

ü -< -3, -7 > = < -3, -7 >

=< 4, -2 > - < -4, -32 > = < 0, -34 >

< 7, -3 > - < -8, -30 > = < 15, 27 >

< 5, -11 > + < 2, 0, 0, 0 > = < 7, -11, 0, 0 >

And 4 + 20 = 24.

To find the sum of 4 + 20, we simply add the two numbers together:

4 + 20 = 24

As for the given vectors, let's perform the requested calculations:

ü -< -3, -7 > = < -3, -7 >

=< 4, -2 > - < -4, -32 > = < 4 + (-4), -2 + (-32) > = < 0, -34 >

< 7, -3 > - < -8, -30 > = < 7 - (-8), -3 - (-30) > = < 15, 27 >

< 5, -11 > + < 2, 0, 0, 0 > = < 5 + 2, -11 + 0, 0 + 0, 0 + 0 > = < 7, -11, 0, 0 >

Therefore, the Vector Calculations and Addition results are as follows:

ü -< -3, -7 > = < -3, -7 >

=< 4, -2 > - < -4, -32 > = < 0, -34 >

< 7, -3 > - < -8, -30 > = < 15, 27 >

< 5, -11 > + < 2, 0, 0, 0 > = < 7, -11, 0, 0 >

And 4 + 20 = 24.

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Answer:

(7,10)

Step-by-step explanation:

Due to length restrictions, we kindly invite to read the explanation to know about factoring methods associated with each polynomial.

In this problem we need to determine the class of polynomials according to the type of factoring method, all of which are listed below:

Now we proceed to classify each expression:

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Answer:

x = 5

Step-by-step explanation:

5+ 9x = 50

Subtract 5 from each side

5-5+ 9x = 50-5

9x = 45

Divide each side by 9

9x/9 = 45/9

x = 5

The factors of f(x) are (x-4), (x+1) and (2x-3) respectively.

To select the factors of f(x), we are to pick the functions that satisfy the conditions of the given information.

For  f(4) = 0:

The function that evaluates to 0 when x = 4 is (x - 4). That is:

f(x) = (x - 4)

f(4) = (4 - 4) = 0

For  f(-1) = 0:

The function that evaluates to 0 when x = -1 is (x + 1). That is:

f(x) = (x + 1)

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

For  f(3/2) = 0:

The function that evaluates to 0 when x = 3/2 is (2x-3). That is:

f(x) = (2x-3)

f(3/2) = (2 × 3/2 - 3) = 0

Therefore, (x-4), (x+1) and (2x-3) are the corresponding factors of f(x)

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Answer:

The 95% confidence interval is   \(0.6428 < \sigma < 1.0954\)

Step-by-step explanation:

From the question we are told that

   The sample size is  n = 29

    The sample standard deviation is \(s = 0.81\)

  Generally the 95% confidence interval to estimate the true standard deviation  is mathematically represented as  

                      \(\sqrt{\frac{(n- 1)s^2 }{ X^2_( \frac{\alpha }{2 } , n-1)} } < \sigma < \sqrt{\frac{(n- 1)s^2 }{ X^2_(1- \frac{\alpha }{2 } , n-1)} }\)

Generally from the  chi -distribution table  the critical value of \(\frac{\alpha }{2}\) at a degree of freedom of  \(df = 29 - 1 = 28\)  is  

            \(X^2 _{\frac{\alpha }{2} , 28 } =44.46079184\)

Generally from the  chi -distribution table  the critical value of \(1 - \frac{\alpha }{2}\) at a degree of freedom of  \(df = 29 - 1 = 28\)  is  

             \(X^2 _{(1 - \frac{\alpha }{2}) , 28 } = 15.30786055\)

So

                 \(\sqrt{\frac{(29- 1)0.81^2 }{ 44.46079184 } } < \sigma < \sqrt{\frac{(29- 1)0.81^2 }{15.315.307860551 }\)

=>              \(0.6428 < \sigma < 1.0954\)

The product of 5 × 5ab × 5, a, b is 125ab5 when written in its most Simple form

The expression 5 × 5ab × 5, a, b is equal to 125ab5. The reasoning is that when we multiply 5 by 5ab, we get 25ab, which we then multiply by 5 to get 125ab. Since a, b are variables, the product 125ab5 is the product of 5 × 5ab × 5, a, b, when written in its most simple form.

The expression 5 × 5ab × 5, a, b is an algebraic expression, which consists of numbers, variables, and operators. Variables are usually represented by letters or other symbols, while operators such as +, -, ×, ÷, ^ are used to indicate mathematical operations such as addition, subtraction, multiplication, division, and exponentiation. In algebra, expressions can be simplified by combining like terms, expanding brackets, and applying other rules of arithmetic.

The most simple form of an expression is the one that cannot be further simplified.In the given expression, 5 × 5ab × 5, a, b, we can see that the number 5 appears three times, so we can simplify the expression by multiplying the numbers together.

Similarly, we can multiply the variables a and b together to get the term ab. Finally, we write the result as 125ab5, which is the product of 5 × 5ab × 5, a, b, in its most simple form.

Therefore, the product of 5 × 5ab × 5, a, b is 125ab5 when written in its most simple form.

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As a result, 68% of the data falls into the range of values between -1 and 1, which is one standard deviation from the mean. The closest estimate of the solution is 68%.

A mathematical equation is a formula that connects two claims and uses the equals symbol (=) to denote equivalence. An equation in algebra is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, in the equation 3x + 5 = 14, the equal sign places a space between the variables 3x + 5 and 14. The relationship between the two sentences that are written on each side of a letter may be understood using a mathematical formula. The symbol and the single variable are frequently the same. as in, 2x - 4 equals 2, for instance.

For a normally distributed data set with a mean of 0 and a standard deviation of 0.5, the proportion of values between -1 and 1 is most closely related to 68%.

Approximately 68% of the data in a normal distribution lies within one standard deviation of the mean, which explains why. One standard deviation below the mean is -0.5, and one standard deviation above the mean is 0.5 since the mean is 0 and the standard deviation is 0.5. As a result, 68% of the data falls into the range of values between -1 and 1, which is one standard deviation from the mean. The closest estimate of the solution is 68%.

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Answer:

b=9.58

Step-by-step explanation:

beep boop

Answer:

take square root on both side

Step-by-step explanation:

Answer:

The size of the wing and the size of the horizontal stabilizer

Step-by-step explanation:

Answer: A)

Step-by-step explanation:

The standard deviation for this set of data is approximately 2.85.

To find the standard deviation, we first need to take the square root of the variance. Therefore, the standard deviation for the given data set is the square root of 8.1, which is approximately 2.846.
To find the standard deviation of a set of data when the variance is given, you simply need to take the square root of the variance. In this case, the variance equals 8.1.
Step 1: Identify the variance, which is 8.1.
Step 2: Take the square root of the variance.
Standard Deviation = √(Variance) = √(8.1)
Step 3: Calculate the square root of 8.1.
Standard Deviation ≈ 2.85
So, the standard deviation for this set of data is approximately 2.85.

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