The a1 of the sequence is 28715.
How do you find the sum of geometric series?The sum of a geometric series can be found using the formula:
S = a / (1 - r)
where:
S is the sum of the series
a is the first term of the series
r is the common ratio, which is the ratio of any term to its preceding term
For a1;
Sn= a1 - anr/ r - 1
Where;
Sn = 21825
n = 125
r = 15
Thus;
2185 = a1 - (125 * 15)/15 -1
2185 * 14 = a1 - 1875
-30590 = a1 - 1875
a1 = 30590 + 1875
a1 = 28715 as we cans see
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Draw a polygon with the given conditions in the coordinate plane. One side of the polygon is drawn for you. Do not retrace the given side.
a triangle with an area of 15 units2
A polygon with the given area is given below.
What is Polygons?Polygons are closed figures which has at least three set of line segments joined together.
The polygon with least number of sides is triangle.
We have to draw a triangle of area 15 unit².
Area of the triangle = [tex]\frac{1}{2}[/tex] × Base × Height
[tex]\frac{1}{2}[/tex] × Base × Height = 15
Base × Height = 30
Let base = 6 units, height = 5 units
We can draw a right triangle this way as shown below.
If we are starting from the point A(0, 0), a length of base of 6 units will be a line segment from A(0, 0) to B(6, 0).
If the height is 5 units, draw a line segment from B(6, 0) to C(6, 5).
Join A to C.
Hence the required triangle is shown below.
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Question 5(Multiple Choice Worth 2 points)
(Graphing Linear Equations MC)
A gymnast joined a yoga studio to improve his flexibility and balance. He pays a monthly fee and a fee per class he attends. The equation y = 30 + 10x represents the amount the gymnast pays for his membership to the yoga studio per month for a certain number of classes.
Which graph represents this situation ?
graph with the x axis labeled number of classes and the y axis labeled monthly amount in dollars and a line going from the point 0 comma 30 through the point 1 comma 20
graph with the x axis labeled number of classes and the y axis labeled monthly amount in dollars and a line going from the point 0 comma 30 through the point 1 comma 40
graph with the x axis labeled number of classes and the y axis labeled monthly amount in dollars and a line going from the point 0 comma 10 through the point one third comma 0
graph with the x axis labeled number of classes and the y axis labeled monthly amount in dollars and a line going from the point 0 comma 10 through the point 1 comma 40
A graph which represents this situation include the following: B. graph with the x axis labeled number of classes and the y axis labeled monthly amount in dollars and a line going from the point 0 comma 30 through the point 1 comma 40.
What is the slope-intercept form?In Mathematics, the slope-intercept form of a line can be calculated by using this linear equation:
y = mx + c
Where:
x and y represents the data points.m represents the slope of a line.c represents the y-intercept of a line.What is y-intercept?In Mathematics, the y-intercept is also referred to as an initial value and the y-intercept of any graph such as a linear function, generally occur at the point where the value of "x" is equal to zero (x = 0).
In this scenario, the y-intercept of this equation can be calculated as follows;
y = 30 + 10x
y = 30 + 10(0)
y = 30
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when lena arrived at her friend's birthday party there were 9 3/8 pizzas after lana and the other party guests had eaten pizza there was 2 5/8 pizzas left how much pizzas has eaten was eaten during the party
During the party, 6 3/4 pizzas were consumed.
To calculate the amount of pizza consumed during the party, subtract the remaining pizza from the original amount.
The original quantity of pizza was 9 3/8 pizzas, and the remaining quantity was 2 5/8 pizzas, resulting in:
6 3/4 pizzas = 9 3/8 - 2 5/8 pizzas
During the party, 6 3/4 pizzas were consumed.
This is the same as subtracting 2 and 5/8 from 9 and 3/8 and then reducing the result to the smallest fraction form.
The process of determining the difference between two fractions is known as fraction subtraction. To subtract two fractions, do the following:
Check that the fractions have a common denominator: If the denominators are not the same, you must find one. The least common multiple of two fractions' denominators is the smallest common denominator.
Subtract the numerators: Once the fractions have a common denominator, the numerators can be subtracted.
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please help me I NEED HELP HELP
Bold = reason (in reasons 3 and 4 the formatting is odd and goes into the next line)
Statement Reason
1. line segment ʜᴏ is parallel to line segment EL, 1. Given
line segment HN intersects line segment OE at W,
the measure of HW is equal to the measure of NW*
2. angle HWO is congruent to angle NWE 2. Vertical angle theorem
3. angle OHW is congruent to angle WNE 3. alternate interior angles theorem
*4. line segment HW is congruent to line segment NW 4. definition of congruent
5. triangle HOW is congruent to triangle NEW 5. ASA postulate
*step 4 might not be needed; I don't know whether the "given" is saying that the measure of line segment HW is equal to the measure of line segment NW, or if it's saying that the two line segments are congruent
You might have to change the reasons for the statements, but this is the gist of how to prove it.
Aviation A plane flies 500 kilometers with a bearing of 316° (clockwise from north) from Naples to Elgin. The plane then flies 720 kilometers from Elgin to Canton (see figure). Canton is due west of Naples. Find the bearing of the flight from Elgin to Canton.?
The bearing of the flight from Elgin to Canton is 231.23°. The solution has been obtained by using law of sines.
What is law of sines?
The ratio of the side length to the sine of the opposing angle is how the law of sines is typically defined. That is true for all three triangle sides, regardless of their sides and angles.
Let the angle formed at Canton be C.
The angle formed at Naples = 90 - 44 = 46°
Using law of sines,
⇒sin (46 ) / 720 = sin C / 500
⇒500 * sin ( 46 ) / 720 = sin C
⇒arcsin ( 500 * sin (46) / 720 ) = C
⇒C ≈ 38.77°
The bearing angle (clockwise from north) of the flight from Elgin to Canton is calculated as follows:
⇒270° - 38.77°
⇒231.23°
Hence, the bearing of the flight from Elgin to Canton is 231.23°.
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The figure of the question has been attached below.
determine the term and coefficient of each degree
The polynomial f(x) = x⁷ - x⁵ + 5x - 1 has 4 terms and the highest degree is 7
What is term and coefficient of a polynomialA polynomial is a mathematical expression consisting of variables and coefficients, which are combined using only addition, subtraction, and multiplication.
Term: A term in a polynomial is a single expression that can be added or subtracted to the other terms in the polynomial. A term consists of a coefficient multiplied by one or more variables raised to a power. For example, the term "3x^2" in the polynomial 3x^2 + 2x + 1 is a single term.
Coefficient: A coefficient in a polynomial is a numerical value that multiplies a variable or a set of variables in a term. In the example "3x^2", the coefficient is 3. A coefficient can be a constant value, such as 2 in the term 2x, or a variable, such as x in the term x^2. The coefficient in a polynomial determines the magnitude and the sign of each term in the polynomial.
In the polynomial given;
f(x) = x⁷ - x⁵ + 5x - 1
The term in the polynomial is 4 and the degree of the polynomial is 7 while the leading coefficient is 1
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In a demonstration of the photoelectric effect, suppose that a minimum energy of 4.0×10−19 J (2.5 eV ) is required to dislodge an electron from a metal surface. What is the minimum frequency (and longest wavelength) of radiation for which the detector registers a response?
The minimum frequency of radiation is 0.603 × 10¹⁵ and the longest wavelength is 4.97 × 10⁻⁷.
What is Planck's Equation?Planck's equation is an equation which describes about the amount of spectral radiance radiated by a black body at a certain wavelength in thermal equilibrium.
We have the Planck's Equation,
E = hv,
where E is the energy, h is the Planck's constant = 6.63 x 10⁻³⁴ J and v is the frequency of radiation.
We have in the question E = 4.0×10⁻¹⁹ J
Substituting,
4.0×10⁻¹⁹ = (6.63 x 10⁻³⁴) v
v = (4.0×10⁻¹⁹) / (6.63 x 10⁻³⁴)
= 0.603 × 10¹⁵
Also we have the equation to find the wavelength,
v = c / λ, where c is the speed of the light = 3 × 10⁸ and λ is the wavelength.
λ = c / v = (3 × 10⁸) / (0.603 × 10¹⁵)
= 4.97 × 10⁻⁷
Hence the minimum frequency and the longest wavelength of radiation for which the detector registers a response are 0.603 × 10¹⁵ and 4.97 × 10⁻⁷ respectively.
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How many balls can one stack in a pile having a triangular base with 10 balls on each edge?
A. 220
B. 55
C. 550
D. 286
55 balls can be stacked in a pile with a triangular base having 10 balls on each edge. So, the answer is B. 55.
To determine the number of balls that can be stacked in a pile having a triangular base with 10 balls on each edge, we can use the formula for the triangular number sequence:
n(n+1) ÷ 2
where n is the number of balls on each edge of the triangular base. In this case, n = 10, so we have:
10(10+1) ÷ 2 = 55
So the answer is B. 55 balls can be stacked in a pile with a triangular base having 10 balls on each edge.
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A 12 meter ladder is inclined against a brick wall at an angle of 15°. If the top of the
ladder reaches the top of the wall, how tall is the wall?
The height of the wall is 3.10 meters
How to determine the lengthIt is important to note the six types of trigonometric identities, they are;
sinecosinetangentcotangentsecantcosecantFrom the information given, we have that;
θ = 15 degrees
Hypotenuse= 12 meters
Opposite side = top of the wall
Let's use the sine identity;
sin 15 = x/12
cross multiply
Find the value
0. 2588(12) = x
Multiply the values
x = 3.10 meter
Hence, the value is 3.10 meters
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you have 7 guests and a round table. in how many different ways can you seat your guests around this table? the ways are considered the same if you can turn one into another by rotating the table with your guests. what if only 5 people can sit at your table at a time?
The number of different ways that 7 guests can be seated is 720 and 5 guests can be seated is 24.
Permutation and combinations:In mathematics, Placing the elements of a set into a certain sequence or order is known as permutation. In other terms, the process of permuting is reordering of the elements of a set if the set is already ordered.
In the case of a round table, the formula for the number of ways that 'n' elements can be arranged is (n - 1)!
Here we have
There are 7 guests and a round table.
By the given formula,
No of different ways that 7 guests can be seated = (7 - 1)! = 6!
= 6 × 5 × 4 × 3 × 2 × 1
= 720
If they are only 5 people
No of different ways that 5 guests can be seated = (5 - 1)! = 4!
= 4 × 3 × 2 × 1
= 24
Therefore,
The number of different ways that 7 guests can be seated is 720 and 5 guests can be seated is 24.
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The cost of producing t units is C = 3t2 + 8t, and the revenue generated from sales is R = 4t2 + t. Determine the number
of units to be sold in order to generate a profit.
A) t>0
B) t>9
D
t>7
t> 8
On solving the provided question, we can say that the equation are cost of producing t units is C = 3t2 + 8t, revenue generated from sales is R = 4t2 + t if t>0 then C = 43t and is t>7 then C =D = 32t
What is equation?A mathematical equation is a formula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the two sentences on either side of a letter is described by a mathematical formula. Often, there is only one variable, which also serves as the symbol. for instance, 2x – 4 = 2.
the equation are
cost of producing t units is C = 3t2 + 8t,
revenue generated from sales is R = 4t2 + t
if t>0
then C = 43t
and is t>7
then C =D = 32t
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During a class election 28 people voted for candidate A. If there were 64 votes total, what is the ratio of votes for candidate B compared to candidate A?
The total cost to rent a JetSki is $35 per half hour for up to four hours plus a $15 insurance the what is the greatest value for the range of the situation
Answer:280 is the greatest value for this situation.
It cost 35 dollars per half hour to rent the JetSki. This means to rent the ski for one full hour, you would pay 70 dollars.
If you can rent the Jetski at a max of 4 hours this would be 70 x 4 which is 280. Lastly we must add in an insurance fee, which is a one time cost. 280 +15 is 195. This means our greatest value is 280, while the cheapest would be 50. (35+15)
I hope this helps & Good Luck <3 !!!
Which of the point of blow doesn't lie on the curve y = x^2
The point that does not lie on the curve y = x² is given as follows:
A. (3/2, 9/2).
How to obtain the point that does not lie on the curve?The function for this problem is defined as follows:
y = x².
Hence all the points in the graph of the function have the following format:
(x, x²).
Meaning that the y-coordinate is the square of the x-coordinate.
The square of 3/2 is given as follows:
(3/2)² = 3²/2² = 9/4.
Hence when x = 3/2, y = 9/4, and thus option A gives the point that does not lie on the curve.
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pls help i need help on this question
Express sin
�
L as a fraction in simplest terms.
Answer:
BELOW
Step-by-step explanation:
For RIGHT TRIANGLES sin (L ) = opposite LEG / Hypotenuse
sin (L ) = 21/35 = 3/5
(Show the given data related
to religion of Bagmati Rural Municipality in a Pie chart.
Religious. Number
(Hindu). 31,954
(Buddhist) 25,000
(Christian). 14,000
(Muslim). 5,997
(Others). 3,200
The pie chart for this problem is given by the image presented at the end of the answer.
How to construct a pie chart?A pie chart is constructed in pizza format, considering the percentages of each input data in the problem.
A percentage is calculated as the division of the number of desired outcomes by the number of total outcomes, and then multiplied by 100%.
The percentages for the data-set in this problem is given as follows:
Hindu: 39.9%.Buddhist: 31.2%.Christian: 17.5%.Muslim: 7.5%.Others: 4%.More can be learned about pie charts at https://brainly.com/question/26851221
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Is there a relationship between the raises administrators at State University receive and their performance on the job? A faculty group wants to determine whether job rating (x) is a useful linear predictor of raise (y). Consequently, the group considered the straight-line regression model
y ^= β0 +β1x.
Using the method of least squares, the faculty group obtained the following prediction equation:
y ^= 14,000 - 2,000x
Interpret the estimated y-intercept of the line.
A) For an administrator who receives a rating of zero, we estimate his or her raise to be $14,000.
B) For a 1-point increase in an administrator's rating, we estimate the administrator's raise to increase $14,000.
C) The base administrator raise at State University is $14,000.
D) There is no practical interpretation, since rating of 0 is nonsensical and outside the range of the sample data
Using the method of least squares, the faculty group obtained, the estimated y-intercept of the line is For a 1-point increase in an administrator's rating, we estimate the administrator's raise to increase $14,000.
The relationship between the variables is calculated and represented as an equation in regression analysis. The dependent variable, independent variables, and line equation constants are all included in this equation. Variables may be related in ways that are linear, quadratic, polynomial, etc.
In this instance, the performance is the independent variable and the increase is the dependent variable. Simple linear regression is the name of the equation, which is shown as a straight-line equation.
Regression analysis makes use of the relationship between independent and dependent variables' relationship equation to forecast the values of the dependent variable y given the values of the independent variable x.
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Find the final value of an investment of £2500 that earns 0. 5% per month for the first six months but then depreciates at a rate of 0. 25% per month for the next 9 months
The final value of the investment is £2517.04.
Calculate the total amount earned over 6 months at 0.5% per month
At 0.5% per month, the investment of £2500 will earn £12.50 per month for six months.
Therefore, the total amount earned over 6 months is £12.50 x 6 = £75.
Determine the value of the investment after 6 months
The value of the investment after 6 months will be the initial investment plus the total amount earned over 6 months.
Therefore, the value of the investment after 6 months will be £2500 + £75 = £2575.
Determine the total amount lost over 9 months at 0.25% per month
At 0.25% per month, the investment of £2575 will lose £6.44 per month for nine months.
Therefore, the total amount lost over 9 months is £6.44 x 9 = £57.96.
Calculate the final value of the investment
The final value of the investment will be the value of the investment after 6 months minus the total amount lost over 9 months.
Therefore, the final value of the investment is £2575 - £57.96 = £2517.04.
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The final value of the investment would be £2491.97. To find the final value of the investment, we need to calculate the interest earned in the first 6 months.
When the rate was 0.5% per month, and then subtract the depreciation that occurred in the next 9 months when the rate was 0.25% per month.
First, calculate the interest earned in the first 6 months:
£2500 * (0.5/100) * 6 = £75Next, add this interest to the initial investment to get the value after 6 months:
£2500 + £75 = £2575Finally, calculate the depreciation in the next 9 months:
£2575 * (0.25/100) * 9 = £59.34Subtract the depreciation from the value after 6 months to get the final value:
£2575 - £59.34 = £2515.66 ≈ £2491.97.Learn more about Depreciation:
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A car owner pays for new brakes that cost $756.25, with a credit card that has an annual rate of 24.5%. Determine the total amount paid, if the car owner pays $100 a month, until the balance is paid off. A spreadsheet was used to calculate the correct answer. Your answer may vary slightly depending on the technology used. $830.52 $73.76 $892.64 $185.28
The total amount paid for a credit card purchase of $756.25 at an annual rate of 24.5% and monthly repayment of $100, until the balance is paid off, is $829.79.
How is the total amount determined?The total amount paid by the car owner can be determined using an online finance calculator, setting the following parameters.
The total amount paid includes the principal and the interest for the credit.
The payment period will last for 8 months and some days.
I/Y (Interest per year) = 24.5%
PV (Present Value) = $756.25
PMT (Periodic Payment) $-100
Results:
N = 8.298
Sum of all periodic payments = $829.79
Total Interest = $73.54
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TRUE or FALSE: Squaring a number and taking the square root are opposites (they undo each other).
Answer:
True
Step-by-step explanation:
Take the square of 3, for example. The answer is 9. If you find its square root, the square root is 3, showing it is true.
Answer: True.
Step-by-step explanation: One thing to be careful of though is when solving equations. When you square values and square root them later, you are opening the door for extraneous solutions. But yes, Squaring and square rooting a value will undo the process and result in the original number.
need help asap find x in the picture
Answer: 60
A triangle can only be 180 degrees so if one side is 60 so is the other two sides
How do I find the perimeter and area of this?
The perimeter and area of the figure is [tex]6y^{2} + 10x^{2} y[/tex] and [tex]15x^{2} y^{3}[/tex] respectively.
What are the perimeter and area?
The complete length of a shape's boundary is referred to as the perimeter in geometry. The measurements of all the sides of a figure are added to find its perimeter. The area is the entire amount of space occupied by a flat (2-D) surface or an object's shape. The area of a plane figure is the area that its perimeter encloses.
Given shape is a rectangle,
So, the perimeter of the figure = [tex]2(3y^{2} + 5x^{2} y)[/tex] = [tex]6y^{2} + 10x^{2} y[/tex]
And,
Area of the figure [tex]= 3y^{2} *5x^{2} y = 15x^{2} y^{3}[/tex]
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A company plant to market a model of a plant that is 96 feet and 8 inches long with a wing Spand of 56 feet choose a reasonable scale for this model and find the length and wingspan of the model explain why you chose the scale and why did it
The length of the model is 3.33 feet and the wingspan is 1.87 feet, which are reasonable and manageable sizes for a model of this type.
What is scale conversion?
Scale conversion is the process of determining the size of a model based on the size of the original object being modeled.
One way to determine a reasonable scale for the model is to consider the desired size of the model relative to the actual size of the plane. For example, if we want the model to be 1/30th the size of the actual plane, we can use the following formula to find the length and wingspan of the model:
Model length = Actual length ÷ Scale factor
Model wingspan = Actual wingspan ÷ Scale factor
Using these formulas, the length of the model would be:
Model length = 96 feet + 8 inches ÷ 30 = 3 feet 4 inches ÷ 30 = 3.33 feet
And the wingspan of the model would be:
Model wingspan = 56 feet ÷ 30 = 1.87 feet
The reason for choosing a 1/30th scale factor is that it results in a model that is relatively small but still large enough to show the details of the design. It also provides a good balance between size and detail, allowing the model to be easily handled and displayed while still showcasing the key features of the actual plane.
Using this scale, the length of the model is 3.33 feet and the wingspan is 1.87 feet, which are reasonable and manageable sizes for a model of this type.
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Mrs. Thapa wishes to grow flowers on the hanging bowls at her home. She brings 16 hemispherical bowls from the market having internal diameter 21 cm and uniform thickness 0.5 cm each and fills the bowls with compost completely. (i) If 1 cm³ of compost weighs 2.31 gm, find the total weight of required compost (ii) If she covers outer curved surface of each bowl with polythene sheet, find the total amount of polythene.
Answer: (i) To find the total weight of compost required:
First, find the volume of one bowl: We can use the formula for the volume of a sphere to find the volume of one hemispherical bowl. The radius of the sphere is equal to half the diameter of the bowl, which is 21 cm / 2 = 10.5 cm. The volume of one hemispherical bowl is given by the formula (4/3)πr^3/2, where r is the radius. Plugging in the values, we get:
(4/3)π(10.5)^3/2 = (4/3) * (22/7) * (10.5)^3/2 = 532.8 cm³
Multiply by the number of bowls: To find the total volume of compost required, multiply the volume of one bowl by the number of bowls: 532.8 cm³ * 16 bowls = 8544.8 cm³
Multiply by the weight of compost per cm³: To find the total weight of compost, multiply the total volume by the weight of compost per cm³: 8544.8 cm³ * 2.31 gm/cm³ = 19824.9 gm = 19.82 kg
So, the total weight of compost required is 19.82 kg.
(ii) To find the amount of polythene required:
First, find the circumference of one bowl: The circumference of the circle is equal to 2π times the radius. So, the circumference of one bowl is 2π * 10.5 cm = 21π cm.
Find the length of the polythene: To find the length of the polythene, we need to find the length of the curved surface of the bowl. We can use the formula for the circumference of a circle, which is 2πr, where r is the radius. The curved surface of the bowl is half the circumference of the circle, so the length of the polythene is 21π cm / 2 = 10.5π cm.
Multiply by the number of bowls: To find the total length of the polythene, multiply the length of one bowl by the number of bowls: 10.5π cm * 16 bowls = 168π cm = 528 cm (rounded to the nearest cm)
So, the total amount of polythene required is 528 cm.
Step-by-step explanation:
13. Find m/VWZ. (5r – 12)° V Y Z (2x - 3)° W X
From the given figure, conclude that ∠VWZ = 27°. This can be solved by using SAS theorem.
What is SAS theorem?The triangles are congruent if two sides and the included angle of one triangle are equivalent to two sides and the included angle of another triangle. Congruent refers to figures that are similar in all respects, primarily in terms of size and shape. Congruence describes how two congruent figures relate to one another.
From the given picture, it is clear that WXYV is a rectangle.
∠VYX = 90°
As we know, ∠YVX + ∠VYX + ∠VXY = 180°
or, 5x - 12° + 90° + 2x - 3° = 180°
or, 7x = 180° - 90° + 15°
or, 7x = 105°
or, x = 15°
thus, ∠VXY = 2x - 3° = 27°
next comparing ΔVYX and ΔYVW we get:
VY = VY
WV = XY
So, ∠VYX = ∠XVW = 90°
From SAS theorem,
ΔVYX ≅ ΔYVW
∠VWX = ∠VXY = 27°
Thus, ∠VWX = 27°
and ∠VWX and ∠VWZ is same.
Therefore, ∠VWZ = 27°
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If a stimulus plus a response results in a satisfying outcome, the probability of that response occurring again ________. Question 24 options: is not affected decreases increases depends on the CS-UCS relationship
The answer is option (C) increases. If a stimulus plus a response results in a satisfying outcome, the probability of that response occurring again increases.
This is called the law of effect, which states that behaviors with positive outcomes are more likely to be repeated in the future.
When a response is followed by a satisfactory outcome, the person is more likely to associate that response with a positive outcome and is more likely to repeat that response in future situations.
This law is based on the concept of reinforcement, ie when an environmental stimulus favors the repetition of a behavior. This law was first proposed by psychologist Edward Thorndike in the early 20th century.
Full question:
If a stimulus plus a response results in a satisfying outcome, the probability of that response occurring again ________.
A. decreases.
B. depends on the CS-UCS relationship.
C. increases.
D. is not affected.
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Factor this equation
Factorized form of polynomial is 3(−b²c+bc²−c²a+ca²−a²b+ab²).
What is factorization?This process of finding two or more expressions whose product is the given expression is known as the factorization of algebraic expressions.
Given polynomial
(b - c)³ + (c - a)³ + (a - b)³
Factoring the polynomial
Calculation is attached below.
we get,
3(−b²c+bc²−c²a+ca²−a²b+ab²)
Hence,
3 and (−b²c+bc²−c²a+ca²−a²b+ab²) are factors of given polynomial.
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In AMNO, the measure of 20=90°, MO = 8, ON = 15, and NM = 17. What ratio
represents the sine of /M?
Answer:
Step-by-step explanation:
To find the sine of angle M, we can use the sin function, which relates the sides of a right triangle to the sine of one of its angles. In this case, we have a right triangle with sides MO, NM, and ON, so we can use the following formula:
sin(M) = MO / ON
We know that MO = 8 and ON = 15, so we can calculate the sine of angle M as follows:
sin(M) = 8 / 15
So, the ratio that represents the sine of angle M is 8/15.
At the beginning of the summer, Jenna had saved $166. To earn money over the summer, she is working part time at the local
community center. She will earn $23 per day of work. If x represents the number of days she works, which of the following
equations represents how much money she will have, including her savings?
Jenna will have total money, y= 166 + 23x.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
Jenna had saved $166.
She will earn $23 per day of work
If x represents the number of days she works the she will earn
= 23x
So, She will have total
= 166+ 23x
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what is 4z−(−3z) ???
Answer:
Step-by-step explanation: Ok so, to simplify the expression, you have 2 know that 2 negatives next to each other is positive, so you add 4z + 3z which gives you 7z.