Answer:
B. (4.75,-22)
Step-by-step explanation:
Step: Solve 3.2x+0.5y=4.2for x:
3.2x+0.5y=4.2
3.2x+0.5y+−0.5y=4.2+−0.5y(Add -0.5y to both sides)
3.2x=−0.5y+4.2
3.2x
3.2
=
−0.5y+4.2
3.2
(Divide both sides by 3.2)
x=−0.15625y+1.3125
Step: Substitute−0.15625y+1.3125 for x in−1.6x−0.5y=3.4:
−1.6x−0.5y=3.4
−1.6(−0.15625y+1.3125)−0.5y=3.4
−0.25y−2.1=3.4(Simplify both sides of the equation)
−0.25y−2.1+2.1=3.4+2.1(Add 2.1 to both sides)
−0.25y=5.5
−0.25y
−0.25
=
5.5
−0.25
(Divide both sides by -0.25)
y=−22
Step: Substitute−22 for y in x=−0.15625y+1.3125:
x=−0.15625y+1.3125
x=(−0.15625)(−22)+1.3125
x=4.75(Simplify both sides of the equation)
Complete the table for the given rule.
1
Rule: y =-
4
y
13
4
2
Answer:
x y
1/4 0
13/4 3
2 7/4
Step-by-step explanation:
To complete the table we just need to replace the value of x and get y as:
for x = 1/4
[tex]y=\frac{1}{4}-\frac{1}{4}=0\\[/tex]
for x=13/4
[tex]y=\frac{13}{4}-\frac{1}{4}=\frac{12}{4}=3[/tex]
for x=2
[tex]y=2-\frac{1}{4}=\frac{7}{4}[/tex]
So, the complete table is:
x y
1/4 0
13/4 3
2 7/4
The book cost (in dollars) for one semester's books are given below for a sample of five college students. Calculate the sample variance of the book costs. 200, 130, 400, 500, 345 Group of answer choices
Answer:
17,960
Step-by-step explanation:
Given the following data, book cost (in dollars) = 200, 130, 400, 500, 345.
First of all, we will find the mean of the given data.
[tex]Mean = \frac{200+ 130+ 400+500+ 345}{5}\\Mean =\frac{1575} {5 }\\Mean = 315[/tex]
Or
Mean = (200+130+400+500+345)/5
Mean = 1575/5 = 315.
Second step is to subtract the mean from each book cost;
(200-315) + (130-315) + (400-315) + (500-315) + (345-315)
(-115)+(-185)+85+185+30
Next you square the above deviation;
[tex](-115)^2+(-185)^2+85^2+185^2+30^2\\13225+34225+7225+34225+900\\= 89800[/tex]
Then, divide the above by the average which is 5 in this case.
[tex]Variance = \frac{89800}{5}\\\\Variance = 17960[/tex]
Hence, the value of the variance is 17,960.
I Shall Name Thee Brainliest! (:
What is -7Q + 6 + 5Q = 15 - 7 solve and check
3 (P+5) + P = 3(2+P) solve and check
2(A+4) + 6A = 2(2 + 3A) solve and check
Answer:
hello, friend(✿◡‿◡)
Step-by-step explanation:
-7Q + 6 + 5Q = 15 - 7
Q=-1
3 (P+5) + P = 3(2+P)
P=-3
2(A+4) + 6A = 2(2 + 3A)
A=-2
2.
Solve the equation.
2
3 x - 2 = 7
Answer:
4/ 3 = 7
Step-by-step explanation:
Answer: x=3
Step-by-step explanation:
first add two to each side
Simplify 7+2 to 9
3x=9
divide both sides by 3.
x=9/3
simplify 9/3 to 3
Which equation represents the line that passes through (-8,11) and
0 v= - 3 5x + 6
Oy=-x+16
Ov=-X-49
Oy - 11x +71
Answer:
Step-by-step explanation:
Hello,
the line passes through (-8,11) means than y = 11 for x = -8
I believe that you wanted to write the first one as below
[tex]y=-\dfrac{5}{8}x+6[/tex]
in that case for x = -8
y = - 5 * - 1 + 6 = 5 + 6 = 11
hope this helps
The solution is, : y = -5/8x +6, the equation represents the line that passes through (-8,11) and (4,7/2).
What is a straight line?A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined both sides of a point and has no curve.
here, we have,
First we need to find the slope
m = (y2-y1)/ (x2-x1)
= (7/2 -11)/(4--8)
= (7/2 - 22/2)/(4+8)
= (-15/2)/(12)
= -15/24
Divide top and bottom by 3
-5/8
Then we can use point slope form to write the equation
y-y1 = m (x-x1)
y- 11 =-5/8(x--8)
y- 11 =-5/8(x+8)
Distribute
y-11 =-5/8 x -5
Add 11 to each side
y-11 = -5/8x -5+11
y = -5/8x +6
Hence, The solution is, : y = -5/8x +6, the equation represents the line that passes through (-8,11) and (4,7/2).
To learn more on Equation 0f Straight-Line click:
brainly.com/question/11116168
#SPJ7
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
[tex]\sqrt{3}x^2y+x^3-x[/tex]
Step-by-step explanation:
In an expression that is a polynomial, the exponent of the variables (x and y) are natural numbers bigger or equal to 0. So, the only expression that is a polynomial is [tex]\sqrt{3}x^2y+x^3-x[/tex], because we have the exponents equal to 2, 3, and 1 for x and an exponent equal to 1 for y.
The other expressions have exponents that are negatives, rational or the exponent is the same variable.
Ajar contains 45 red candies and 60 black candies. Suppose a candy is selected
at random. What are the odds against selecting a red candy?
Answer:
its 55
Step-by-step explanation:
45-100=55( trust me its right.)
Answer:
9/21
Step-by-step explanation:
total there are 105 candies, 60+45
45 are red so 45/105
simplified 9/21
The box plots show the high temperatures in January and March for Denmark in degrees Fahrenheit. Box plots titled Average Daily Temperatures in Denver in March and January with horizontal axis labeled temperature in degrees fahrenheit ranges from 45 to 80. March box plot with minimum approximately at 55 and maximum approximately at 75, its interquartile range is approximately between 60 and 70, and the median is between 60 and 65. January box plot is with minimum approximately 55 and maximum approximately at 70, its interquartile range is approximately between 57 and 65, and its median is approximately between 60 and 65. Which can you tell about the mean temperatures for these two months? The mean temperature for March is higher than January's mean. The low median for January pulls the mean temperature below March's mean temperature. There is not enough information to determine the mean temperatures. The high range for March pulls the mean temperature equal to January's mean temperature.
Answer:
The mean temperature for March is higher than January's mean.
Step-by-step explanation:
I took the test. trust me and you will be set free ;D
Simplify the expression.
a4b3 + 8a4b3=???
PLEASE HELP??! ASAP!!?
Answer:
9[tex]a^{4}[/tex]b³
Step-by-step explanation:
The 2 terms are like terms and can be combined, that is
[tex]a^{4}[/tex]b³ ( 1 + 8)
= 9[tex]a^{4}[/tex]b³
Answer:
9a^4b^3
Step-by-step explanation:
a^4b^3 + 8a^4b^3
These are like terms so we can add them together
Factor out a^4b^3
a^4b^3( 1+8)
a^4b^3 (9)
9a^4b^3
14) Marty weighs 64
pounds and Nathan weighs
4
76 pounds. How much more does Nathan weigh
2
than Marty?
Answer:
Nathan weighs 12 more pounds than Marty.
Step-by-step explanation:
If Marty weighs 64 pounds and Nathan weighs 76 pounds, we can subtract the weight of Marty from Nathan to get our answer.
[tex]76-64=12[/tex]
In case Nathan was actually 476 pounds, the answer would be 412.
Function (True/False)
Answer:
yes it is a function
Step-by-step explanation:
Mathematics
In mathematics, a function is a binary relation over two sets that associates to every element of the first set exactly one element of the second set. Typical examples are functions from integers to integers or from the real numbers to real numbers.
Answer:
False
Step-by-step explanation:
A function has only 1 y value for any given x value.
You can use the "vertical line test" to check if a graph is of a function. Move a vertical line (you can use the edge of a ruler) from left to right across the graph. If at any point the line intersects the curve in two or more places, the curve is not a function.
Find the total area for the regular pyramid.
Answer:
=12pl+B
Step-by-step explanation:
where p represents the perimeter of the base, l the slant height and B the area of the base.
Answer:
4 + 4 sqrt 10
Step-by-step explanation:
Look at photo please don't understand
Does anyone understand this
Please answer quickly!
Answer:
a) 18.6%
b) 598,230
Step-by-step explanation:
a) In the first part of the question, you are given two population values and asked to find the percentage difference between them. A formula you can use for that is ...
percentage difference = (difference)/(original value) × 100%
The difference of interest is the difference between the 2011 population and the 2001 population
difference = 510,000 -430,000 = 80,000
The original value is the 2001 population, so the percentage difference is ...
percentage difference = 80,000/430,000 × 100% = 0.1860 × 100% = 18.6%
This is a positive value, so represents an increase.
The percentage increase in population from 2001 to 2011 was 18.6%.
__
b) In the second part, you are given the percentage difference and asked to find the new value. We can rearrange the above formula to find the difference:
difference = (percentage difference)/100% × original value
Then the difference between the 2021 population and the 2011 population will be ...
difference = (17.3%)/100% × 510,000 = 0.173 × 510,000 = 88,230
So, the population in 2021 is expected to be 88,230 more than in 2011:
2021 population = 520,000 +88,230 = 598,230
The predicted population in 2021 is 592,230.
A jar of jam contains 55% fruit.How much fruit would I need for ten 454g jars of jam?
Answer: 10x454x0.55=2,497 grams of fruit
PQR shown in the figure below is transformed into STU by a dilation with center (0, 0) and a scale factor of 3
Answer:
Step-by-step explanation:
Given question is incomplete; here is the complete question.
∆ PQR shown in the figure below is transformed into ∆ STU by a dilation with center (0, 0) and a scale factor of 3.
Complete the following tasks,
- Draw ΔSTU on the same set of axes.
- Fill in the coordinates of the vertices of ΔSTU.
- Complete the statement that compares the two triangles.
When ΔPQR is transformed into ΔSTU by a dilation with center (0, 0) and a scale factor of 3,
Rule to followed to get the vertices of ΔSTU,
(x, y) → (3x, 3y)
P(1, 1) → S(3, 3)
Q(3, 2) → T(9, 6)
R(3, 1) → U(9, 3)
Length of QR = 2 - 1 = 1 unit
Length of PQ = [tex]\sqrt{(3-1)^2+(2-1)^2}=\sqrt{5}[/tex] units
Length of PR = 3 - 1 = 2 units
Length of ST = [tex]\sqrt{(9-3)^2+(6-3)^2}=3\sqrt{5}[/tex] units
Length of TU = 6 - 3 = 3 units
Length of SU = 9 - 3 = 6 units
Therefore, ratio of the corresponding sides of ΔPQR and ΔSTU,
[tex]\frac{\text{PQ}}{\text{ST}}=\frac{\text{QR}}{\text{TU}}=\frac{\text{PR}}{\text{SU}}[/tex]
[tex]\frac{\sqrt{5}}{3\sqrt{5}}=\frac{1}{3}=\frac{2}{6}[/tex]
[tex]\frac{1}{3}=\frac{1}{3}=\frac{1}{3}[/tex]
Since ratio of the corresponding sides are same,
Therefore, ΔPQR and ΔSTU are similar.
PLEASE HELP I WILL MARK BRAINLIEST RIGHT AWAY!!!
Answer:
C
Step-by-step explanation:
The slope formula is y^2 - y^1 over x^2 - x^1
hope this helps!
also the answer is just the inverse of that answer
Which properties would you use to simplify the following expression? log (17x3)
Answer:
Step-by-step explanation:
Did you mean log (17*3)? If so, your log (17x3) becomes log 17 + log 3.
Did you mean log 17^3? If so, log 17^3 = 3 log 17.
Did you mean log 17*x*3? If so, this equals log 17 + log x + log 3
Answer:
C: 1 and 3
Step-by-step explanation:
EDGE2021
Write the rule for this sequence '32,16,8,4'
Step-by-step explanation:
This is a sequence of divide by 2 or half of the number so 32 16 8 4 2 1
Sabendo que o perímetro de um polígono é obtido através da soma de todas as medidas dos seus lados, assinale a expressão que representa o perímetro da figura abaixo
Answer:
Perimeter = (4x + 12)
Step-by-step explanation:
As given in the question itself,
"Perimeter of a polygon is the sum of measures of all the sides of the polygon."
By this property expression to calculate the perimeter of the given polygon will be,
Perimeter = x + x + x + 2 + 2 + (x + 4) + 2 + 2
= 3x + 4 + (x + 4) + 4
= 4x + 12
Hence, Perimeter = (4x + 12)
please answer this question now
Answer:
≈ 94.9 mi²
Step-by-step explanation:
The area (A) of Δ WXY can be calculated as
A = [tex]\frac{1}{2}[/tex] × WY × WX × sinW
∠ W = 180° - (40 + 21)° = 180° - 61° = 119°
Calculate WX using the Sine rule, that is
[tex]\frac{11}{sin21}[/tex] = [tex]\frac{WX}{sin40}[/tex] ( cross- multiply )
WX sin21° = 11 sin40° ( divide both sides by sin21° )
WX = [tex]\frac{11sin40}{sin21}[/tex] ≈ 19.73 mi , thus
A = 0.5 × 11 × 19.73 × sin119° ≈ 49.9 mi² ( to the nearest tenth )
PLEASE HELP. WILL MARK BRAINIEST!!! 1. What shape should Kylee use to draw the swimming pool on the diagram? 2.If Kylee wanted to put the swimming pool directly between the flower beds, at what point would the center of the swimming pool be? 3.Use the point you identified in Part 1 to write an equation that will draw the swimming pool on the diagram so that it is directly between the flower beds. 4.Can Kylee place the swimming pool directly between the flower beds? Use the equation you wrote in Part 3 prove or disprove that the swimming pool will touch one of the flower beds. (Hint: Plug in points that are on a flower bed to check if they are also on the circle.) 5.Where can Kylee put the pool? Write an equation that will draw the pool on the diagram so that it does not touch anything.
Answer:
1) A rectangular shape
2) Point (30, 50)
3) (x - 30)² + (y - 50)² = 10²
4) Yes, the swimming pool will touch the flower beds
5) Point (45, 25)
Step-by-step explanation:
1) Given the number of shapes that are rectangles (4) and the number of circular shapes (1) to conserve more space Kylee should drw the swimming pool with a rectangular shape
2) So as to avoid touching the flowerbeds which are 20 feet apart, the center of the swimming pool will be moved slightly up to (30, 50)
3) The equation that will draw the swimming pool is the equation of a circle, given as follows
(x - h)² + (y - k)² = r²
Where (h, k) is the coordinate of the center of the circle, and r is the radius of the circle,
Given that the diameter, D, of the circle = 20 feet, the radius, r = D/2 = 20/2 = 10 feet
The equation of the circle is therefore;
(x - 30)² + (y - 50)² = 10²
4) The coordinates of the center of the flower bed is (30, 45) which gives
(x - 30)² + (y - 45)² = 10²
Where the coordinates of the side of the flower pot is (20, 45), we have;
(20 - 30)² + (45 - 45)² = 10²
(-10)² = 10² = r²
Hence, point (20, 45) is on the circle
The other flower bed side has coordinates (40, 45) which gives
(40 - 30)² + (45 - 45)² = 10²
10² = r² = 10²
Point (40, 45) is also on the circle
Therefore, the swimming pool will touch the flower beds
5) At point (45, 25), we have;
(x - 45)² + (y - 25)² = 10²
The closest point is the patio with coordinates (40, 15) which gives;
(40 - 45)² + (15 - 25)² = 10² = 100
(-5)² + (-10)² = 125 > 100
Therefore, point (40, 15), is not on the circle.
On each of three pieces of paper a three digit number is written two of the digits are covered . The sum is 826. What is the sum of two covered digits?
Answer:
9
Step-by-step explanation:
The diagram showing the three pieces of paper of three digit in which two of the letters were covered can be seen below.
From the diagram; we have;
243 , 1_7 , _26
Assuming the covered digits are _
The sum is 826.
i.e
243 + 1_7 + _26 = 826
The objective is to determine the sum of the two unknown digits
So; we need to think about what number can we add put in 1_7 to determine the covered digit in _26
From ; 1_7 , we have the choice to pick from 0 - 9
Assuming the covered digit is 0; let's check if we are right
So; 243 + 107 + _26 = 826
350 + _26 = 826
_26 = 826 - 350
_26 = 476
So; the covered digit is in the position of 4 , but it doesn't tally together
i.e 426 is not the same as 476, which makes our assumption to be wrong.
Let consider the covered digit to be 5 for example.
So; 243 + 157 + _26 = 826
400 + _26 = 826
_26 = 826 - 400
_26 = 426
The covered digit is in the position of 4
SO;
426 = 426
Here , our assumption is right.
As such , the covered digits are 5 and 4
The sum of the two covered digits are = 5 + 4 = 9
Assume that an opinion poll conducted in a 1998 congressional race found that on election eve, 54% of the voters supported Congressman Stevens and 44% supported challenger Jones. Also assume that the poll had a +/- 3% margin of error. What would the pollster be able to safely predict?
Answer:
Congressman Stevens will win the race
Step-by-step explanation:
Considering the margin of error, the possible outcomes for each candidate would be:
Congressman Stevens: from (54 - 3)% to (54+3)%
Challenger Jones: from (44 - 3)% to (44+3)%
Congressman Stevens: from 51% to 57%
Challenger Jones: from 41% to 47%
Therefore, even considering the margin of error, the pollster would be able to safely predict that Congressman Stevens will win the race.
What is the explicit formula for this sequence?
Greetings from Brasil...
With the recursive formula, lets build the sequence:
A1 = 4
A2 = A1 - 7
A3 = A2 - 7
A4 = A3 - 7
A5 = A4 - 7
(...)
But pay attention to A3....
A3 = A2 - 7 but A2 = A1 - 7 , so rewriting A3
A3 = (A1 - 7) - 7 ⇒ A3 = A1 + 2.(- 7)
A4 = A3 - 7 ⇒ A4 = [(A1 - 7) - 7] - 7 = A1 + 3.(- 7)
A5 = {[(A1 - 7) - 7] - 7} - 7 = A5 + 4.(- 7)
so
An = A1 + (n - 1).(- 7)What imaginary number is equivalent to (square root symbol) -36?
Answer:
6 i
Step-by-step explanation:
The imaginary number "6 i" when squared gives :[tex](6\,i)^2=36\,(i)^2=36 (-1) = -36[/tex]
Answer:
Step-by-step explanation:
[tex]\\ \sqrt{-36 }=\sqrt{36 \times -1} =\sqrt{36 \times \iota^2}=\pm 6 \iota\\so~ 0+6 \iota\\and~0-6 \iota[/tex]
Which graph shows the solution to the system of linear inequalities? x + 3y > 6 y ≥ 2x + 4 PLEASE HELP
A system of inequalities can be solved graphically.
See attachment for the required graph
The inequalities are given as:
[tex]\mathbf{x +3y > 6}[/tex]
[tex]\mathbf{y \ge 2x + 4}[/tex]
The options are not given.
So, I have attached the graph that illustrates the solution to the system of inequalities
From the graph, we have the solutions as:
[tex]\mathbf{x >-0.857}[/tex][tex]\mathbf{y \ge 2.286}[/tex]Read more about graphs of inequalities at:
https://brainly.com/question/15748955
The table below shows the students in an Algebra 1 class. What is the probability that a randomly chosen student will be a girl GIVEN that the student does NOT own a graphing calculator? (Note: If your fraction will reduce, you need to reduce it.)
Answer:
6/13
Step-by-step explanation:
Of the 13 students who do not own a graphing calculator, 6 are girls. The probability is 6/13.
In first half of a basketball game one team scored 45 points. This was 5/9 of their score for the whole game. How many points did the team score in the second half?
please help thx :)
Answer:
36
Step-by-step explanation:
45*(9/5)=81(The whole score)
81-45=36(the second half score)
Answer:
36
Step-by-step explanation:
Because you multiply 9*9=81, and then 81-45=36, Because 9*5=45, so the answer is 36.
SOMEONE PLEAE HELP ME! Person who gets it correct will gain the BRAINLIEST!
Answer:
Third option is the right choice.
Step-by-step explanation:
[tex]y=a(b)^x[/tex] where "b", is the common ratio.
The common ratio for third table is constant for all the terms.
Best Regards!
Halle en metros cuadrados la cantidad de cartón necesaria para elaborar el sólido que se muestra:: POR FIS ES DE UNA EVALUACION ALGUIEN QUE ME AYUDEEE:).
Answer:
La cantidad de cartón necesaria para hacer el sólido es de 165 m² de cartón.
Step-by-step explanation:
La figura en la pregunta consta de tres formas
1) Una pirámide cuadrada
Altura inclinada = 5 m
Longitud lateral base = 3 m
2) un cubo
Longitud lateral, s = 3 m
3) Un prisma rectangular
Longitud = 6 m
Altura = 3 m
Ancho = 3 m
El área de superficie de la pirámide cuadrada, [tex]S_P[/tex] = 2 × Altura inclinada × Longitud del lado base
[tex]S_P[/tex] = 2 × 5 × 3 = 30 m²
El área de superficie del cubo, [tex]S_C[/tex] = 6 ×(Longitud lateral, s)²
[tex]S_c[/tex] = 6 × 3² = 54 m²
El área de superficie del prisma rectangular, [tex]S_R[/tex] = 4 × largo × alto + ancho × alto
[tex]S_R[/tex] = 4 × 6 × 3 + 3 × 3 = 81 m²
La cantidad de cartón necesaria para hacer el sólido, [tex]S_S[/tex] = [tex]S_P[/tex] + [tex]S_C[/tex] + [tex]S_R[/tex]
[tex]S_S[/tex] = 30 + 54 + 81 = 165 m².
La superficie del cartón necesaria para construir el sólido es de 165 m².