please help me on this

Answer:

A) 9

Step-by-step explanation:

Hello!

A constant is a fixed and defined number.

A constant is any number that does not have a variable next to it

The only number in the equation that follows this is 9

Hope this Helps!

The constant from the expression is 9. option A

Algebraic expressions are defined as expressions that are made up of variables, constants, factors and coefficients.

Also, these algebraic expressions are made up of arithmetic operations, such as;

From the information, we have that the expression is given as;

[tex]15x^2 + 2x + 9[/tex]

We have then that;

The terms are; 15x , 2x and 9

The coefficient of x is 2

The coefficient of x² is 15

The constant is 9

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Answer:

56 miles

Step-by-step explanation:

Answer:

The 90% confidence​ interval is (-1.987, -1.320).

Step-by-step explanation:

The data provided is:

Sleep without        Sleep using

    the drug           the drug d=without-with

         2.5                       4.3                  -1.8

         2.7                       4.2                  -1.5

         3.8                       5.0                  -1.2

         3.8                       6.2                 -2.4

          1.8                       2.5                 -0.7

         4.7                        7.1                 -2.4

         4.8                        7.1                 -2.3

         2.7                        3.3                 -0.6

         1.8                        3.5                 -1.7

        2.2                        4.3                 -2.1

        3.6                        4.3                 -0.7

        5.3                        7.0                  -1.7

        5.2                        7.6                 -2.4

Compute the sample mean and sample standard deviation:

[tex]\bar d=\frac{1}{n}\sum d=\frac{1}{13}\times [(-1.8)+(-1.5)+(-1.2)+...+(-2.4)]=-1.654\\\\S_{d}=\sqrt{\frac{1}{n-1}\sum [d-\bar d]^{2}}=0.6753[/tex]

The degrees of freedom of the test is:

df = n - 1 = 13 - 1 = 12

Compute the critical value of t for 90% confidence​ level and 12 degrees of freedom as follows:

[tex]t_{\alpha/2, (n-1)}=t_{0.10/2, 12}=1.782[/tex]

Compute the 90% confidence​ interval as follows:

[tex]\bar d-t_{\alpha/2, (n-1)}\cdot\frac{S_{d}}{\sqrt{n}}<\mu_{d}<\bar d+t_{\alpha/2, (n-1)}\cdot\frac{S_{d}}{\sqrt{n}}[/tex]

[tex]-1.645-[1.782\cdot\frac{0.6753}{\sqrt{13}}]<\mu_{d}<-1.645+[1.782\cdot\frac{0.6753}{\sqrt{13}}]\\\\-1.645-0.334<\mu_{d}<-1.654+0.334\\\\-1.988<\mu_{d}<-1.320[/tex]

Thus, the 90% confidence​ interval is (-1.987, -1.320).

Answer:

-10x

Step-by-step explanation:

-2x-4=-6x

-4-6x = -10x

Answer:

x = -2

Step-by-step explanation:

To solve for x:

Therefore, x equals -2.

To simplify the equation:

Answer: 169.2cm

Step-by-step explanation:

From the question, we are informed that three equal-sized cardboard boxes are stacked on top of each other and that each box is 56.4 cm in height.

To get the combined height of the 3 stacked boxes, we multiply 56.4cm by 3. This will be:

= 56.4cm × 3

= 169.2cm

Answer:

Caleb's actual height is 48 inches

Step-by-step explanation:

Alison's height in the photograph= 4 cm

Caleb's height in the photograph= 3.2 cm

Alison's actual height= 60 in

Caleb's actual height=x in

60 in= 152.4 cm

Alison's height in photograph : Her actual height = Caleb's height in photograph : his actual height

4cm : 152.4cm = 3.2cm : xcm

4 / 152.4 = 3.2 / x

Cross product

4 * x = 152.4 * 3.2

4x = 487.68

Divide both sides by 4

x= 121.92 cm

121.92 cm = 48 in

Caleb's actual height is 48 in

Answer:

≈ 83.9 cm²

Step-by-step explanation:

Given:

Then:

Area of  the triangle is found by using Herons formula:

where s = P/2 = 44/2 = 22 cm

Answer:

[tex]\huge \boxed{\mathrm{83.9 \ cm^2}}[/tex]

Step-by-step explanation:

Two sides of the triangle are given.

The perimeter is given.

We need to solve for the third side.

[tex]P=a+b+c[/tex]

[tex]P= \sf perimeter[/tex]

[tex]a,b,c= \sf side \ lengths[/tex]

[tex]44=18+12+c[/tex]

[tex]c=14[/tex]

The measure of the third side is 14 cm.

When three sides of the triangle are given, we can solve for the area using Heron’s formula.

[tex]A=\sqrt{s(s-a)(s-b)(s-c)}[/tex]

[tex]s=\sf semi \ perimeter[/tex]

[tex]\displaystyle s=\frac{P}{2} =\frac{44}{2} =22[/tex]

Plugging in the values and evaluating.

[tex]A=\sqrt{22(22-18)(22-12)(22-14)}[/tex]

[tex]A = 83.904708...[/tex]

The area of the triangle is approximately 83.9 cm².

Answer:

x = 5 and x = 11

Step-by-step explanation:

The segment through the center is a perpendicular bisector of the chord, thus

5x - 6 = 2x + 9 ( subtract 2x from both sides )

3x - 6 = 9 ( add 6 to both sides )

3x = 15 ( divide both sides by 3 )

x = 5

-------------------------------------------------------

Tangents to a circle from an external point are congruent, thus

4x - 1 = 3x + 10 ( subtract 3x from both sides )

x - 1 = 10 ( add 1 to both side

Answer:

x = 5 and x = 11

Step-by-step explanation:

The segment through the centre is a perpendicular bisector of the chord, thus

5x - 6 = 2x + 9 ( subtract 2x from both sides )

3x - 6 = 9 ( add 6 to both sides )

3x = 15 ( divide both sides by 3 )

x = 5

-------------------------------------------------------

Tangents to a circle from an external point are congruent, thus

4x - 1 = 3x + 10 ( subtract 3x from both sides )

x - 1 = 10 ( add 1 to both sides )

x = 11

Answer:

(x²)² + 2(9)x² + 9²

(x² + 9)²

Step-by-step explanation:

Given expression in the question is,

(x⁴ + 18x²+ 81)

We have to factorize this expression.

We know the formula of (a + b)² = a² + 2ab + b²

Comparing this formula with the given expression,

a = x²

b = 9²

By substituting these values in the given formula,

Therefore, (x⁴ + 18x²+ 81) = (x²)² + 2(9)x² + 9²

                                         = (x² + 9)²

Answer:

A

Step-by-step explanation:

The range is the y-values, so it’s all numbers less than or equal to 4.

The domain is the x-values, so it’s all real numbers.

Step-by-step explanation:

Decimals are great for when you are dealing with money and want to round up, and fractions are used when baking (such as need 1/4 or a half cup of something)

answer

r = b²-4ac

= 81 + 36

= 117

c...................

Answer:

400 cubic yards

Step-by-step explanation:

There are three cubic feet in each cubic yard

Answer:

2. -6

4. 0

8. 2

Step-by-step explanation:

Order of Operations: BPEMDAS

2

Step 1: Write out expression

-(8 - 2)

Step 2: Parenthesis (Subtract)

-(6)

Step 3: Multiply

-6

4

Step 1: Write out expression

-(0 + 0)

Step 2: Parenthesis (Add)

-(0)

Step 3: Multiply

0

8

Step 1: Write out expression

3 - [-(-1)]

Step 2: Brackets (Multiply)

3 - 1

Step 3: Subtract

2

Answer:

-18

Step-by-step explanation:

km

k= -3

m= 6

km = -3*6

km = -18

Answer:

The answer is -18.

Step-by-step explanation:

k×m

-3×6

-18

Answer:

-60%

-$50

Step-by-step explanation:

As the statement says that the price of the jacket was reduced by 40%, to determine the percent that the sale price represents from the original price, you have to subtract 40% from 100% that represents the original price:

100%-40%= 60%

This means that $30 represents 60% of the original price.

-To determine the original price of the jacket, you can use the rule of three:

$30 →  60%

 x    ←  100%

x=(100*30)/60= 50

According to this, the original price of a jacket was $50.

Answer:

Read Exp:

Step-by-step explanation:

Area = 3.14 x r^2

I've Included a picture to tell you how to get the diameter as well as the circumference.

Answer:

formula is πr² ( pi x radius squared)

Step-by-step explanation:

the value of π is 3.142...

multiply this value with the squared radius of the circle and you'll get your answer.

For example:

we have a circle with diameter 5

so,  π x 5² = 3.142 x 25 = 78.5

Answer:

65

Step-by-step explanation:

Let c = number of correct answer.

Let i = number of incorrect answers.

There are 100 questions, so

c + i = 100

The correct answers are worth 0.5c.

The incorrect answers are worth -0.3i (a negative value because 30 cents is taken away for each incorrect answer)

The total worth of the answers is 0.5c - 0.3i. The total worth of the answers is $22.00, so the second equation is

0.5c - 0.3i = 22

We have a system of two equations in 2 unknowns:

c + i = 100

0.5c - 0.3i = 22

We'll use the substitution method to solve the system of equations.

Solve the firt equation for c:

c = 100 - i

Now substitute 100 - i for c in the second equation.

0.5(100 - i) - 0.3i = 22

50 - 0.5i - 0.3i = 22

-0.8i = -28

i = 35

c = 100 - i

c = 100 - 35

c = 65

Answer: 65 problems were solved correctly.

Answer:

Please refer to the attached diagram for answer.

Step-by-step explanation:

Upper-left coordinates on a rectangle are (-1, 4)

Upper-right coordinates are (3, 4)

Perimeter of rectangle = 24 units

To find:

To draw the rectangle on the coordinate plane.

Solution:

Let the rectangle be ABCD.

So, sides AB  = CD and BC = DA

Let Point A has coordinates (-1, 4).

And upper right coordinates will be adjacent to A.

So, let Point B (3, 4).

Let us find the distance between A and B by distance formula:

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Where,

[tex]x_2 = 3\\x_1 = -1\\y_2 = 4\\y_1 = 4[/tex]

[tex]AB = \sqrt{(3-(-1))^2+(4-4)^2}\\\Rightarrow AB = \sqrt{(4)^2+(0)^2}\\\Rightarrow AB = 4[/tex]

AB = 4 = CD

Perimeter of rectangle = Sum of all four sides = 2 (AB+DA) = 24

[tex]2 \times 4 + 2DA = 24\\\Rightarrow 2DA=24-8\\\Rightarrow 2DA=16\\\Rightarrow DA =8\ units[/tex]

As it is a rectangle, its adjacent sides will be perpendicular to each other.

When we move from A to B only x coordinate is changing and it has changed by  4 (3- (-1) ) units. (Found by subtracting the x coordinates of the two points.)

Similarly, when we will move from D to A, only y coordinate will change by 8 units. (D is lower left coordinate so add 8 to y)

[tex]\Rightarrow y + 8 = 4 \Rightarrow y =-4[/tex]

[tex]x[/tex] coordinate will be same as that of A i.e. -1.

So, D will be (-1, -4)

Similarly, when we will move from C to B, only y coordinate will change by 8 units. (C is lower right coordinate so add 8 to y)

[tex]\Rightarrow y + 8 = 4 \Rightarrow y =-4[/tex]

[tex]x[/tex] coordinate will be same as that of B i.e. 3.

So, C will be (3, -4).

Now, let us draw

A(-1, 4)

B(3, 4)

C (3, -4)

D(-1, -4)

Please refer to the attached diagram for answer.

Answer:

A(-1, 4) B(3, 4)C (3, -4)D(-1, -4)

Step-by-step explanation: Brainliest plus-size

Answer:

See  below.

Step-by-step explanation:

Convert to decimal form

7 3/5 = 7.6

7 7/10 = 7.7

10 2/5 = 10.4

8 1/2 = 8.5

So the answer is

7 3/5 , 7 7/10, 8.3, 8.1/2, 10.2  10 2/5, 11.1.

Answer: -a+1

Step-by-step explanation:

 -4a+8+3a-9

=-4a+3a+8-9

=(-4a+3a)+(8-9)

=-a+1

Hope this helps!! :)

Answer: -a -1

Step-by-step explanation:

Answer: (22)(39) = 858.

Step-by-step explanation:

Product of a number simply means that one has to multiply the numbers that are given. For example, if a student is told to find the product of 2 and 5, it simply means that 2 × 5 = 10.

Regarding the above question, the product of 22 and 39 is represented by: (22)(39) = 858. It should be noted that 22 × 39 = 858

Answer:

.0000269 hectograms/ deciliter

2.69 * 10^e-5 hectograms/ deciliter

Step-by-step explanation:

micro grams to hectograms

10^8 micrograms = 1 hectogram

milliliters to deciliter

100 milliliters = 1 deciliter

Using conversion factors

26.9 microgram         1 hectogram           100 milliliters

----------------------- * ---------------------------  * ---------------------

milliliter                     10^8 micrograms           1 deciliter

2690 hectograms

---------------------------

10^8 deciliters

.0000269 hectograms/ deciliter

2.69 * 10^e-5 hectograms/ deciliter

Answer:

"subset"

Step-by-step explanation:

The "set within a set" is called a "subset."

Answer:

-15.

Step-by-step explanation:

G(-5) = 2(-5) - 1

= -10 - 1

= -11

H(-11) = -11 - 4

= -15

Hope this helps!

Answer:

h(g(-5))= -15

Step-by-step explanation:

We are asked to find h(g(-5)).

First, we must find g(-5).

We know that g(x)=2x-1. Therefore, to find g(-5), we must plug -5 in for x.

g(x)= 2x-1

g(-5)= 2(-5) -1

Multiply 2 and -5.

g(-5)= -10 -1

Subtract 1 from -10.

g(-5)= -11

Now, we can substitute -11 in for g(-5).

h(g(-5)

g(-5)= -11

h(-11)

Now, we must find h(-11).

We know that h(x)= x-4. So, we can plug -11 in for x.

h(x)= x-4

h(-11)= -11-4

Subtract 4 from -11.

h(-11)= -15

h(g(-5)=  -15

Answer:

c

Step-by-step explanation:

Answer:

Step-by-step explanation:

He ate 15, 19, 23, 27, 31, 35 pies for each day.

Addition in math is a process of combining two or more numbers.

Given that, Homer Simpson entered a pie eating contest at the county fair. Homer was determined to win and went into training for 6 days, each day, he ate 4 more pies than the day before. Homer ate 150 pies while in training.

Let he ate x pie for 1st day, then according to question,

1st day = x

2nd day = x+4

3rd day = x+8

4th day = x+12

5th day = x+16

6th day = x+20

He ate 150 pies for 6 days

Therefore, x+x+4+x+8+x+12+x+16+x+20 = 6x + 60 = 150

6x = 90

x = 15

Hence, he ate 15, 19, 23, 27, 31, 35 pies for each consecutive day.

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Answer:

98.25

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Convert [tex]27^{\frac{4}{3} }[/tex]

[tex]27^{\frac{4}{3} }[/tex] = ∛(27⁴) = 81

Step 2: Convert [tex]32^{0.8}[/tex]

[tex]32^{0.8}[/tex] = 16

Step 3: Convert [tex]0.8^{-1}[/tex]

[tex]0.8^{-1}[/tex] = 1.25

Step 4: Combine

81 + 16 + 1.25

97 + 1.25

98.25