Step-by-step explanation:
Using the rules of PEDMAS
She adds 3 and 4 (3+4)
squares this result ( 3+4)^2
and subtracts 9 (3+4)^2 - 9
With PEDMAS you do the P arentheses first
then you do the E xponent
then you do the S ubtraction P E D M A S
Arthur paid a two-year debt with ₱16,907.40. The interest was at 6% compounded monthly. What was the principal?
Compound interest formula:
A = P(1 + r/n)^nt
Where
A= amount
P = principal
r = interest rate
n = amount of times interest is is compounded per time period
t = time period
So:
P = A/[(1 + r/n)^nt]
P = 16,907.40/[(1 + 0.06/12)^2*12]
P = ₱15,000.00
a car uses an average of 6 litres of fuel per 100kilometres if the car uses 9 litres of fuel what is the distance covered?
Answer:
150 kilometres
Step-by-step explanation:
Imagine it as a ratio 6 : 100
If they have given you the first side which is 9 you need to figure out the other side (9 : ?)
To do this you simply need to figure out how you get from 6 to 9 which is times by 1.5
Then to find the other side you do the same as they are proportional to each other
So 100 times by 1.5 which is 150
This gives you the answer that you can travel 150 kilometres with 9 litres of fuel
The scatter plot shows the relationship between the number of coffee drinks sold and the total expenses of a coffee shop.
The slope of the line is....
The intercept of the line is.....
The regression equation is
For the linear function built from the scatter plot, it is found that:
The slope of the line is of: 5.The intercept of the line is of: b = 500.The equation is of: y = 5x + 500.What is a linear function?The slope-intercept representation of a linear function is the rule presented as follows:
y = mx + b
The coefficients of the function and their meaning are listed as follows:
m is the slope of the function, representing the change in the numeric value of the output variable y when the input variable x increases by one.b is the y-intercept of the function, which is the numeric value of the output variable y when the input variable x has a value of 0.From the graph, we have that when x = 0, y = 500, hence the intercept of the line is:
b = 500.
When the input increases by 200, the output increases by 1000, hence the slope is:
m = 1000/2 = 5.
Thus the equation is:
y = 5x + 500.
Missing InformationThe graph is given by the image at the end of the answer.
More can be learned about linear functions at https://brainly.com/question/24808124
#SPJ1
Form a polynomial f(x) with real coefficients having the given degree and zeros.
Degree: 5; Zeros: -7; -i, 5+i
Therefore , the solution of the given problem of polynomials comes out to be f(x) = x(5) - 3(4) + 17(3) - 53(2) + 372x + 1274.
A plynomial is what?A polynomial is a mathematical equation that only makes use of additions, elisions, multiplication and division, and factors of positive integer variables and has factors and uncertainty. The method x2 4x Plus 7 only identifies one unknown x polynomial. A mathematical expression with variables (also known as "indeterminates") and factors that can be addition, deleted, increased.
Here,
Since f(x) is a degree 5 polynomial with real coefficients, any non-real zeros must occur in conjugate pairs. So, if -i is a zero, its counterpart I must also be zero. The conjugate of 5 Plus I 5 - I is also a zero if 5 + I is. Using this knowledge, we can construct the equation as follows:
=> f(x) = (x - (-7))
=> (x - i)(x + i)
=> (x - (5 + i))
=> (x - (5 - i))
If we condense each component, we obtain:
=> f(x) = (x + 7)
=> (x² + 1)
=> (x² - 10x + 26)
By extending the final element, we obtain:
=> f(x) = (x + 7)(x² + 1)
=> (x² - 10x + 26)
=> (x + 7)
=> (x⁴ - 10x³ + 26x² + x² - 10x + 26)
= (x + 7)(x⁴ - 10x³ + 27x² - 10x + 182)
The polynomial with the specified degree and zeros is thus:
f(x) = x(5) - 3(4) + 17(3) - 53(2) + 372x + 1274
To know more about polynomials visit:
https://brainly.com/question/11536910
#SPJ1
The diameter of a planet is about 22,502 mi. The diameter of the planet's moon is about 22% of the diameter of the planet. What percent of the volume of the planet is the volume of its moon?
Answer:
about 1.1%
Step-by-step explanation:
Given a moon has a diameter of 22% of the diameter its planet, you want the volume of the moon as a percent of the planet's volume.
Scale factorThe ratio of moon diameter to planet diameter is given as 22%. The ratio of moon volume to planet volume will be the cube of this scale factor:
moon volume / planet volume = (0.22)³ ≈ 0.0106 = 1.06%
The volume of the moon is about 1.1% of the volume of the planet.
<95141404393>
Ivan and Tanya share £150 in the ratio 4:1
Work out how much more Ivan gets compared to Tanya.
How much more does Ivan get?
please help will give brainlyest again
Answer:
8
_
12 I think
that's it it you can cross multiple it will be 7/10
What is the meaning of "\(F=\left \{ (x,y):\varphi (x,y,p) \right \}\)"?
The expression "F = {(x, y) : φ(x, y, p)}" represents a set of ordered pairs (x, y) that satisfy a condition defined by the function φ. The interpretation and nature of the set F depend on the specific function φ and the parameter p, which determine the relationship between the variables x, y, and p.
The expression "F = {(x, y) : φ(x, y, p)}" represents a set F consisting of ordered pairs (x, y) that satisfy a particular condition defined by the function φ, which takes the variables x, y, and p as inputs.
To fully understand the meaning of F, we need to delve into the function φ and its relationship with the variables x, y, and p. The function φ could represent a wide range of mathematical relationships or conditions that determine the inclusion of certain pairs (x, y) in the set F.
For instance, let's consider a specific example where vraphi(x, y, p) is defined φ(x, y, p) = \(x^2 + y^2 - p^2.\)In this case, F = {(x, y) : \(x^2 + y^2 - p^2\)= 0} represents a set of ordered pairs (x, y) that satisfy the equation \(x^2 + y^2 - p^2 = 0.\) This equation represents a circle with radius p centered at the origin (0, 0). Consequently, F corresponds to all the points lying on the circumference of this circle.
It is important to note that the specific meaning and implications of F heavily rely on the nature of the function φ and the parameter p. Different functions and parameters will yield distinct sets F with their own unique characteristics and interpretations.
For more such information on: expression
https://brainly.com/question/28602085
#SPJ8
WEEK 2 Direction: Answer the following problems. 1. Jun wanted to know how much ice cream he got in on scoop. The radius of a scoop is 2 inches. Find the volum Use 3.14 for pi. (SHOW YOUR SOLUTION) a) What is asked in the problem? b) What are the given facts? c) What is the formula to be used? d) Number Sentence e) Final answer. (show your solution pls)
We are given the radius of the scoop and asked to find the volume of ice cream in one scoop. By using the formula for the volume of a sphere and substituting the given radius, we can calculate the volume. The final answer is approximately 33.49 cubic inches.
a) The problem asks for the volume of ice cream in one scoop.
b) The given fact is that the radius of the scoop is 2 inches.
c) The formula to be used is the volume of a sphere, which is given by V = (4/3)πr³, where V is the volume and r is the radius.
d) Number Sentence:
- Given: Radius (r) = 2 inches
- Formula: V = (4/3)πr³
- Substituting the value: V = (4/3)π(2)³
- Simplifying: V = (4/3)π(8)
- Evaluating: V = (4/3)(3.14)(8)
- Multiplying: V = 33.49333333 (approx.)
e) Final answer: The volume of ice cream in one scoop is approximately 33.49 cubic inches.
For more such questions on volume
https://brainly.com/question/1972490
#SPJ8
HELP PLEASE ITS URGENT!!
there are 210 7th graders at king middle school. at the end of the first semester a random sample of the report cards for 30 king 7th graders was exclaimed , and 8 of the students in the students in the sample had an A in math
based on the results from the sample , about how 7th graders at king middle school would be expected to have an A on their first semester report cards
Answer:
this is very confusing whst is it trying to ask here?
Step-by-step explanation:
Answer:
56 students
Step-by-step explanation:
8/30 = x/210
x = 56
what is the y-intercept of the line graphed on the grid? 2 4 -2 -4
Answer:
4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
y intercept is 4 as the line cuts the y axis at exact 4 units above the origin.
What is the present value of R13 000 p.a. invested at the beginning of each year for 8years at 10%p.a. compound interest? (NB Use the compound interest tables provided or work to three decimal places only.)
Given statement solution is :- The present value of R13,000 per year invested for 8 years at 10% compound interest is approximately R69,776.60.
To calculate the present value of an investment with compound interest, we can use the formula for the present value of an annuity:
PV = A *\((1 - (1 + r)^(-n)) / r\)
Where:
PV = Present value
A = Annual payment or cash flow
r = Interest rate per period
n = Number of periods
In this case, the annual payment (A) is R13,000, the interest rate (r) is 10% per year, and the investment is made for 8 years (n).
Using the formula and substituting the given values, we can calculate the present value:
PV = \(13000 * (1 - (1 + 0.10)^(-8)) / 0.10\)
Calculating this expression:
PV = \(13000 * (1 - 1.10^(-8)) / 0.10\)
= 13000 * (1 - 0.46318) / 0.10
= 13000 * 0.53682 / 0.10
= 6977.66 / 0.10
= 69776.6
Therefore, the present value of R13,000 per year invested for 8 years at 10% compound interest is approximately R69,776.60.
For such more questions on present value
https://brainly.com/question/30390056
#SPJ8
The rule (x, y) → (-X, -y) maps A RST to A R'S'T',
Which statement correctly describes the relationship between ARST and A R'S'T'?
The triangles are congruent because AR'S'T' is a rotation of ARST, and a rotation is a rigid motion.
The triangles are congruent because AR'S'T' is a translation of ARST and a translation is a rigid
motion
The triangles are not congruent because AR'S'T' is a translation of ARST, and a translation is not a
rigid motion
The triangles are not congruent because AR'S'T' is a rotation of A RST, and a rotation is not a rigid
motion
Answer:
A
Step-by-step explanation:
These triangles are first off congruent, because the only value that is changing, is the negative sign in front.
This negative sign means that the triangle is being rotated to a different quadrant of the graph, so the answer is A.
Multiply: (–4 + i)(2 – 3i)
a. –5 – 10i
b. –8 + 11i
c. –5 + 14i
d. –11 + 14i
The result of the product of the given complex numbers as required to be determined is; Choice C; -5 + 14i.
What is the product of the given complex numbers?It follows from the task content that the result of the product of the given complex numbers is to be determined.
On this note, since the required product to be evaluated is; (–4 + i) (2 – 3i).
We can therefore multiply as follows;
-8 + 12i + 2i - 3i².
However, it is noteworthy to know that; i² = -1.
Hence, we have that;
-8 + 14i + 3
= -5 + 14i
On this note, it follows that the result of the product of complex numbers as required is; -5 + 14i.
Read more on product of complex numbers;
https://brainly.com/question/29278325
#SPJ1
which products result in a difference of of squares? check all that apply.
Answer:
B, D
Step-by-step explanation:
The product of a sum and a difference results in a difference of squares.
The product must be of the form (a + b)(a - b) to work.
Answer: B, D
Answer:
(w-2.5)(w+2.5) And (-4v-9)(-4v+9)
Step-by-step explanation:
E2020
ummm pls help (: pls
Answer:
Hence, first one will be 1/3 and second one will be 1/6
Step-by-step explanation:
1. Let the blank space be x then,
\(3 \frac{2}{3} + x = 4\)
\(x = 4 - 3 \frac{2}{3} \)
\(x = \frac{12 - 11}{3} \)
\(x = \frac{1}{3} \)
2. Let the blank be x then,
\(x + \frac{2}{3} = \frac{5}{6} \)
\(x = \frac{5}{6} - \frac{2}{3} \)
\(x = \frac{5 - 4}{6} \)
\(x = \frac{1}{6} \)
How many different pairs of faces are congruent in a rectangular prism that is not a cube
Answer:
2
Step-by-step explanation:
every rectangular prism has 6 faces, 2 will be congruent together and thw other 4 will be congruent to each other
A survey reported that out of 50 students, 9 said they get their news from a newspaper.
At this rate, how many out of 300 teenagers would you expect to get their news from a newspaper
Answer:
54 students
Step-by-step explanation:
If the ratio is 50:9, we multiply the 50 by 6 to get 300 students and we also multiply the 9 by 6 to get the correct ratio. The ratio is 300:54
Answer:
54 teenagers get they're news from newspapers.
Step-by-step explanation:
300 / 50 = 6
9 x 6 = 54
50 : 9 = 300 : 54
target sells a camera for $108. During a black friday sale, the canera is on sale for 30% off. What is the sale price of the camera?
Answer:
$75.60
Step-by-step explanation:
Which number has a 5 that represents a value ten times greater than the value represented by the 5 in 41,253 ?
Wouldn't the answer be any number which has the hundredths place as a 5? For example, 23,521.
As 50 x 10 = 500 and the 5 in 23,521 represents 500.
Which is the graph of f(x)=(2/3)x
Answer:
Here is the desmos graph
Step-by-step explanation:
solve this equation, and show work. worth 40 points
Answer:
n=0
Step-by-step explanation:
both numbers have the same bases which is 5 so we can say that their exponents are equal to each other:
-2n = -2n-3
now we isolate the n variables to one side:
-2n + 2n = -3
0n = -3
n = 0
Write the following ratio as a fraction in lowest terms 55 to 50
Answer:
11/10
Step-by-step explanation:
divide both the terms of 55 & 50 with 5: like this ⬇️
55/5 = 1150/5 = 10put it in the fraction form: ⬇️
ans: 11/10I hope this information helps.
Write a two-column proof for the following information. Upload your proof below.
Given: M is the midpoint of CD; CM = 5x – 2; MD = 3x + 2
Prove: x = 2
The required two column proof is explained below.
What is a midpoint?A midpoint is a point which divides a line segment into two equal parts. Thus it can be referred to as the middle point of the line segment.
The two column proof for the information is given as:
M is the midpoint of CD (Given)
CD = CM + MD (addition property of a line segment)
CM = MD (definition of a midpoint)
So that;
5x – 2 = 3x + 2 (Definition of midpoint)#
Then,
5x - 3x = 2 + 2 (collecting like terms)
2x = 4
x = 2
Learn more about midpoint at https://brainly.com/question/24431553
#SPJ1
Un bloque de vidrio flint tiene un espesor de 4 cm, ¿qué espesor aparenta tener cuando se le ve desde arriba?
Answer: El índice de refracción del vidrio flint es mayor que el del aire. Cuando la luz pasa de un medio con un índice de refracción menor (como el aire) a un medio con un índice de refracción mayor (como el vidrio), experimenta un cambio de dirección. Este fenómeno se conoce como refracción.
Cuando observamos el bloque de vidrio flint desde arriba, la luz que proviene del bloque sufre refracción al pasar del vidrio al aire. Debido a la refracción, los rayos de luz se desvían y parecen venir de una posición más alta dentro del vidrio de lo que realmente están. Esto crea una ilusión óptica que hace que el espesor aparente del bloque de vidrio se vea más delgado de lo que realmente es.
La cantidad exacta de adelgazamiento aparente depende del ángulo de incidencia de la luz y de los índices de refracción del vidrio y el aire. Sin más información, no es posible determinar el espesor aparente específico del bloque de vidrio flint cuando se ve desde arriba.
Step-by-step explanation:
Please help me answer this!
Answer:
the answer is c
Step-by-step explanation:
4x = 4 x 2=8
8+12=20
which is equal to or greater than 8
Hope this helps plz mark brainliest
What number is six and four hundredths larger than two and five tenths?
Answer:
eight and thirty-seven fiftyths
Step-by-step explanation:
6 and 4/100 + 2 and 5/10
6 and 1/25 + 2 and 1/2
156 / 25 + 5 / 2
312 / 50 + 125 / 50
437 / 50
400 / 50 = 8
8 and 37 / 50
Which of the following
temperatures is the coldest?
A
-22.527°C
B
-22.41237°C
C
-22.45°C
D 22.8°C
Hurry
Write and evaluate the expression. Then, select the correct answer.
two less than the quotient of a number and four, increased by ten;
evaluate when m = 12
zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz