what is the value of digit 4 in the decimal 5.04

Answer:

the inequality solution is -19

The missing term of the given geometric sequence can be 1 or -1

Given a geometric sequence,

   2, □ ,0.5, . . . .

Hence, we know that

a(1) = 2

a(3) = 0.5

and the missing term is a(2).

The formula for the nth term of a geometric sequence is:

a(n) = a(1) . rⁿ⁻¹

Substitute a(1) =2 and n = 3

a(3) = 2 . r³⁻¹

0.5 = 2 . r²

r² = 0.5/2 = 0.25

r = 0.5  or r = -0.5

Take r = 0.5, then

a(2) = a(1) . r

      = 2 . (0.5) = 1

Take r = -0.5, then

a(2) = a(1) . r

      = 2 . (-0.5) = -1

Therefore, the missing term, a(2) can be 1 or -1

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The solution of the given equation √(4x-23) - 3 = 2 is (x = 14.25).

A 'Square Number' is the result of multiplying a number or integer (not really a fraction) by itself.

Now, as per the given equation;

√(4x-23) - 3 = 2

This could also be written as;

√(4x-23) = 2 + 3

√(4x-23) = 5

Now, squaring on the both side;

(4x-23) = 25

Open the brackets;

4x - 32 = 25

4x = 25 + 32

4x = 57

x = 14.25

Therefore, the solution of the given equation √(4x-23) - 3 = 2 is calculated as (x = 14.25).

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Answer:

Step-by-step explanation:

200 / 2  = $100

Answer:

[tex]y = - \frac{1}{5} x + 4[/tex]

Step-by-step explanation:

The slope-intercept form equation of a line is given by y= mx +c, where m is the slope and c is the y-intercept.

Start by finding the slope.

[tex]\boxed{\text{Slope}= \frac{y_1 - y_2}{x_1 - x_2} }[/tex]

Slope of line, m

[tex] = \frac{6 - 3}{ - 10 - 5} [/tex]

[tex] = \frac{3}{ - 15} [/tex]

[tex] = - \frac{1}{5} [/tex]

Substitute value of m into equation:

[tex]y = - \frac{1}{5} x + c[/tex]

Substitute any point the line passes through into the above equation:

When x= 5, y= 3,

[tex]3 = - \frac{1}{5} (5) + c[/tex]

3= -1 +c

c= 3 +1

c= 4

Substitute the value of c into the equation:

[tex]y = - \frac{1}{5} x + 4[/tex]

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The algebraic expression of the situation "Jenny had $130, but she is spending $10 per week is 130-10x

Given,

The total amount she had = $130

Amount she spend per week = $10

Consider the number of weeks as x

Then the algebraic expression = 130-10x

Hence, the algebraic expression of the situation "Jenny had $130, but she is spending $10 per week" is 130-10x.

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Answer:

Step-by-step explanation:

Me personally, thinks that p is 9, and M is one or 4.

Think about it this way; 40-4p = _ SO, 40-4(9) = 4 because its like

40- 4 x 9 (40-36=4).

Next thing; m(p) 1(9) OR 4(9)

I HOPE YOU FIGURE IT OUT GOOD LUCK BYE!

Statements (B) and (D):

shows causation.

In the given questions statements (B) and (D) shows causation.

Therefore, statements (B) and (D):

shows causation.

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The correct question is given below:

Which situation shows causation?

(A) When the number of people in a bus increases, the number of animals in a zoo also increases.

(B) When the number of hours worked each week by an hourly employee decreases, the amount of money earned by the employee also decreases.

(C) When the amount of a discount for a sale increases, the number of items sold during the sale decreases.

(D) When the number of bike trails in a city decreases, the amount of rainfall in the city increases.

The probability that a point is chosen at random will lie in the shaded area will be 0.32.

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

Here favorable outcomes will be the shaded portion and the total outcome will be the total circular portion.

Favorable Outcome = Area of shaded portion = 1/2 x 18 x 18/2

= 81 inch sq.

Total Outcome = Total area = 81 π inch sq.

Probability, P(E) = 81/ 81  π = 1/32

Hence, the probability that a point chosen at random will lie in the shaded area is  0.32.

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Answer:

y = 3 - 5x

Step-by-step explanation:

Answer:

Step-by-step explanation:

4y+20x−12=0

4y−12=−20x

4y=−20x+12

4y=12−20x

4/4y = 12−20x / 4

y= 12−20x / 4

y=3−5x

​

​

The pet store owner made a multiplication error.

The payment should be $48 per month.

An equal periodic payment can be calculated using the following formula:

P = T / N ............................................. (1)

Where, from the question:

P = periodic payment or the amount required to be paid periodically = ?

T = Total amount payable or the amount Samuel bought the snake = $288

N = Number of periods = 6

Substituting all the relevant values into equation (1), we have:

P = $288 / 6

P = $48

The P = $48 implies that $48 has to be multiplied by 6 to obtain $288.

Therefore, the pet store owner made a multiplication error.

The payment should be $48 per month.

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Answer: 1 thank you

Step-by-step explanation:

After solving the equation the value of x is -23, 25 in the equation 19+|x-1|=33

To solve linear equations, utilize the steps that are provided below.

Lets take an example of solve z for 7z – (3z – 4) = 12

Here is no multiplication or division, so this will be easy to solve

⇒ 7z – (3z – 4) = 12

⇒ 7z – 3z + 4 = 12

⇒ 4z = 12 – 4

⇒ 4z = 8

⇒ z = 8/4

⇒ z = 2

See, that was so simple, using the mentioned methods, every linear equation can be solved easily.

⇒ 9+|x-1| = 33

For positive case

⇒ 9+|x-1| = 33

⇒ (x-1) = 33 - 9

⇒ x - 1 = 24

⇒ x = 25

For negative case

⇒9+|x-1| = 33

⇒ -(x-1) = 33 - 9

⇒ -x + 1 = 24

⇒ - x = 23

⇒ x = -23

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The figure have AE = FD

given,

AB =CD

AB = AE + EB

CD = CF + FD

AE + EB = CF + FD

CF = EB given,

AE = FD

 if the triangle ABC and triangle DEF are identical. More specifically their side lengths and their angle measures are all the same, therefore we can consider them congruent figures. And that's exactly how you prove two figures are congruent by matching their corresponding parts.

SSS (Side-Side-Side) SAS (Side-Angle-Side) ASA (Angle-Side-Angle) AAS (Angle-Angle-Side).

Triangles that have exactly the same size and shape are called congruent triangles.

Identifying Congruent Figures in the Real World

    2.If the corresponding sides of two figures with the same shape have the same length, then the two figures are congruent.

They are the same shape but not the same size. Non-congruent rectangles. These two polygons have matching sides equal but their matching angles are not equal and so they are not congruent. They are different shapes even though the sides are the same size.

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The  linear equation that is being represented by the graph is  y=-3x +2.

A linear equation  can be described as the equation that has its highest power of the variable as  1 and this is been refereed to as the  one-degree equation.

It should be noted that  slope, of the the equation is usually in the form y=mx+b where mx is slope, however the linear equation usually have   one or two variables and when a  variable in a linear equation  has a power greater than 1 then it is no more linear.

Therefore, option A is correct.

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The 10th term of an Arithmetic Progression (AP) is (a₁₀ = 87.)

In Arithmetic Progression, the difference between the two mathematical orders is a constant value (AP). Arithmetic Sequence is another name for it.

We'd come across a few important words in AP that were denoted as:

As shown below, the AP also can be described in aspects of common differences.

Now, the given sequence is;  15,23,31, ...........

Consider the first term is'a₁' = 15

Consider 'a₂' = 23 is the second term.

Consider the third term is 'a₃' = 31

Calculate the common difference;

d = a₂ - a₁  

Put the values in the above obtained equation;

d = 23 - 15 = 8

Now, to estimate the value of the 10th term using the formula of nth term.

an = a + (n − 1) × d , n = total number of terms = 10.

Put all the values;

a₁₀ = 15 + (10 - 1) × 8

a₁₀ = 15 + 9 × 8

a₁₀ = 15 + 72

a₁₀ = 87

Therefore, the value of the 10th term is calculated as a₁₀ = 87.

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Answer:

18 tables: $143

t tables: $35 + $6t

Step-by-step explanation:

35 + 6t

35 + 6(18) = 35 + 108 = 143

Answer:

No Solutions

Step-by-step explanation:

Hello!

Solve for x by isolating the variable.

Since -1 does not equal to -8, there are no solutions for x that makes this equation true.

Answer:

no solution

Step-by-step explanation:

3x-1=4x+8-x

add like terms

3x-1=3x+8

add 1 to both sides

3x=3x+9

subtract 3x from both sides

0=9

no answer!

Answer:

1/12, 0.2, 22%, 1/4

Step-by-step explanation:

1/12 = 0.083333

1/4 = 0.25

22% = 0.22

0.2

So: 1/12, 0.2, 22%, 1/4

Given that triangle GHI and JKL are similar, the measure of side JK to the nearest tenth is 43.7

Similar triangles are triangles that have the same shape and are proportional, but their sizes may vary.

Given that;

Since the triangle are similar;

IH/GH = LK/JK

Plug in the given values and solve for side JK.

13/9.8 = 58/JK

Cross multiply

13 × JK = 58 × 9.8

13 × JK = 568.4

JK = 568.4 / 13

JK = 43.7

Given that triangle GHI and JKL are similar, the measure of side JK to the nearest tenth is 43.7.

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By comparing the intercepts of the linear equation with the ones in the graph, we conclude that the given graph corresponds with the linear equation.

Here we have the linear equation:

1.5*s + 3.5*c = 21

And we have a graph, which we want to see if it is the graph of the linear equation.

To check this, we just need to look at the intercepts, the variable "c" is on the vertical axis and the variable "s" is on the horizontal axis.

The "s" intercept is what we get when we take c = 0, replacing that we will get:

1.5*s + 3.5*0 = 21

1.5*s = 21

s = 21/1.5 = 14

This means that the line should pass through the point (14, 0), and we can see that this happens.

The other intercept is what we get when we take s = 0.

1.5*0 + 3.5*c = 21

c = 21/3.5 = 6

The other intercept is at (0, 6), which we also can see on the graph.

With that is enough to conclude that the given graph represents the given linear equation.

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  The expand each binomial. (3-x)⁵ is:

-x⁵ + 15x⁴ -90x³ + 270x² - 243x + 243

 We solve first by perfect square trinomial, then we apply the distributive property.

(3 - x)⁵ = (3 - x)²(3 - x)²(3 - x)

(3 - x)²= 9 -  6x + x²

81 - 54x + 9x² - 54x + 36x² - 6x³ + 9x² - 6x³ + x⁴

x⁴ - 12x³+ 54x² - 108x + 81

(x⁴ - 12x³+ 54x² - 108x + 81)(3 - x)
3x⁴ - 36x³+ 162x² - 324x + 243 - x⁵ + 12x⁴ - 54x³ + 108x² - 81x

-x⁵ + 15x⁴ -90x³ + 270x² - 243x + 243

   A polynomial is a set of numbers and letters that make up an expression that has a meaning, the letters are variables and the numbers are coefficients or independent terms.

 Depending on the number of terms it can be :

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Answer:

-10.

Step-by-step explanation:

-25+15=-10.

first look at the equation you’re given. It’s in y-intercept form. The slope is 5.

A line perpendicular to it has a slope that is the opposite reciprocal, -1/5. You are told that the y-intercept of the line is 4, so the equation for the Since the slope of the line is -1/5, and the y-intercept is 4, the equation of the line is,

y = (-1/5)x + 4

Multiply both sides by 5 and put into standard form,

x + 5y = 20line in y-intercept form is y= -1/5x+4

When we have a linear equation in standard form, we can find the x- and y-intercepts of the corresponding line. This also allows us to graph it.

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Natalie will receive a weekly salary of $656.61 and a summer salary of $10505.76.

The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.

Given that Natalie earns $15.27 per hour while working as a playground supervisor for 8 weeks throughout the summer. Although she works a 40-hour week, she typically puts in 3 hours of overtime.

For a week = ( 40 + 3 ) x 15.27 = $656.61

For a summer = 4 x 4 = 16 weeks

For a summer = 16 x $656.61 = $10505.76

Therefore, Natalie will be paid $656.61 for a week and for summer $10505.76.

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Answer:

[tex]{ \tt{volume = base \: area \times height \times length}} \\ \\ { \tt{v = \frac{1}{2} (a + b) \times h \times l }} \\ \\ { \tt{v = \frac{1}{2} (1.7 + 2.3) \times 1.3 \times 1.5}} \\ \\ { \tt{v = 2 \times 1.3 \times 1.5}} \\ \\{ \tt{v = 3.9 \: {m}^{3} }}[/tex]

Answer:

3.9 m³

Step-by-step explanation:

To find the volume of a right prism, multiply its base area by its height.

For the given shape:

Area of a trapezoid

[tex]\boxed{A = \dfrac{1}{2}(a+b)h}[/tex]

Where a and b are the bases and h is the height.

From inspection of the given diagram:

Substitute the given values into the formula to find the area of the trapezoid base (ABCD):

[tex]\begin{aligned}A & = \dfrac{1}{2}(a+b)h\\\implies ABCD & = \dfrac{1}{2}(BC+AD)CD\\ &=\dfrac{1}{2}(1.7+2.3)(1.3)\\&=\dfrac{1}{2}(4)(1.3)\\&=(2)(1.3)\\&=2.6\; \sf m^2\end{aligned}[/tex]

Therefore:

[tex]\begin{aligned}\textsf{Volume of prism} & = \textsf{Area of base} \times \sf height\\\implies V & = ABCD \times 1.5\\V & = 2.6 \times 1.5\\V & = 3.9\;\sf m^3\end{aligned}[/tex]

Answer:

(3s-2)°+(4s-6)°=90

3s-2+4s-6=90

7s-8=90

7s=90+8

7s=98

Dividing both sides by 7

S=98/7

S=14

Answer:

31 to 6

Step-by-step explanation:

31 to 6,