Answer: -14, -17, and -20
Step-by-step explanation: Study the sequence.
Notice that each number is 3 less than the number before it.
In other words, -2 - 3 is -5, -5 - 3 is -8, and -8 - 3 is -11.
Now, if we continue with this same sequence,
-11 - 3 is -14, -14 - 3 is -17, and -17 - 3 is -20.
So the next three numbers are -14, -17, and -20.
Each line represents a proportional relationship. Write an equation for each line. Show your work.
Answer:
The equation of line a is y = x
The equation of line b is y = [tex]\frac{2}{3}[/tex] x
Step-by-step explanation:
The equation of the proportional is y = m x, where
m is the slope of the line (constant of proportionality)The rule of the slope of a line is m = [tex]\frac{y2-y1}{x2-x1}[/tex] , where
(x1, y1) and (x2, y2) are two points on the line∵ Line a passes through points (0, 0) and (3, 3)
∴ x1 = 0 and y1 = 0
∴ x2 = 3 and y2 = 3
→ Substitute them in the rule of the slope above
∵ m = [tex]\frac{3-0}{3-0}=\frac{3}{3}[/tex]
∴ m = 1
→ Substitute in the form of the equation above
∴ y = (1)x
∴ y = x
∴ The equation of line a is y = x
∵ Line b passes through points (0, 0) and (3, 2)
∴ x1 = 0 and y1 = 0
∴ x2 = 3 and y2 = 2
→ Substitute them in the rule of the slope above
∵ m = [tex]\frac{2-0}{3-0}=\frac{2}{3}[/tex]
∴ m = [tex]\frac{2}{3}[/tex]
→ Substitute in the form of the equation above
∴ y = ([tex]\frac{2}{3}[/tex]) x
∴ y = [tex]\frac{2}{3}[/tex] x
∴ The equation of line b is y = [tex]\frac{2}{3}[/tex] x
What is the area of the trapezoid shown? trapezoid A = ______ units²?
Answer:
74.1 units²
Step-by-step explanation:
Area of the trapezoid shown = ½×(AD + BC)×BE
Use distance formula, [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex] to find AD, BC, and BE.
✍️Distance between A(-9, 4) and D(9, 1):
[tex] AD = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} = \sqrt{(9 -(-9))^2 + (1 - 4)^2} [/tex]
[tex] = \sqrt{(18)^2 + (-3)^2} [/tex]
[tex] = \sqrt{(324 + 9} = \sqrt{333} [/tex]
[tex] AD = 18.2 units [/tex] (nearest tenth)
✍️Distance between B(-4, -3) and C(2, -4):
[tex] BC = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} = \sqrt{(2 -(-4))^2 + (-4 -(-3))^2} [/tex]
[tex] = \sqrt{(6)^2 + (-1)^2} [/tex]
[tex] = \sqrt{(36 + 1} = \sqrt{37} [/tex]
[tex] BC = 6.1 units [/tex] (nearest tenth)
✍️Distance between B(-4, -3) and E(-3, 3):
[tex] BE = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} = \sqrt{(-3 -(-4))^2 + (3 -(-3))^2} [/tex]
[tex] = \sqrt{(1)^2 + (6)^2} [/tex]
[tex] = \sqrt{(1 + 36} = \sqrt{37} [/tex]
[tex] BE = 6.1 units [/tex] (nearest tenth)
✔️Area of the trapezoid:
Area = ½×(AD + BC)×BE
Plug in the values into the formula
Area = ½×(18.2 + 6.1)×6.1
Area = ½×(24.3)×6.1
Area = 74.115 ≈ 74.1 units² (nearest tenth)
Evaluate the expression: 2{ a( 2b + 3c)} for a=8, b=3, and c=4
Answer:
288
Step-by-step explanation:
Evaluate Using the Given Value
2 (a (2b + 3c)) for a = 8 , b = 3 , and c = 4
Replace the variable a with 8 in the e xpression.
2 ((8) (2b + 3c))
Replace the variable b with 3 in the expression.
2 ((8) (2 (3) + 3c))
Replace the variable c with 4 in the expression.
2 ((8) (2 (3) + 3 (4)))
Simplify each term.
Multiply 2 by 3.
2 (8 (6 + 3 (4)))
Multiply 3 by 4.
2 (8 (6 + 12))
Simplify the expression. Tap for fewer steps...
Add 6 and 12.
2 (8 ⋅ 18)
Multiply 8 by 18.
2 ⋅ 144
Multiply 2 by 144.
288
solve the differential equation. dy/dx - (2/x)y =x^2 cosx
Answer:
[tex]y=\sin \left(x\right)x^2+c_1x^2[/tex]
Step-by-step explanation:
Substitute dy/dx with y
[tex]y'\:-\left(\frac{2}{x}\right)y=x^2\cos \left(x\right)[/tex]
please help me thx
Answer:
y=x/26-2
Step-by-step explanation:
the slope is 1/26 and y intercept is (0,2) or two so you add it into the form.
Combine like terms to create an equivalent expression. 2/5k - 3/5 + 1/10k
Answer:
[tex]\frac{1}{2}[/tex]k-[tex]\frac{3}{5}[/tex]
Step-by-step explanation:
If the simple interest on $4,000 for 9 years is $3,240 , then what is the interest rate?
Answer:
1440000
Step-by-step explanation:
Soryyyyyyyyyyyyyy this one to
Which of the following statements regarding Pascal's triangle are correct?
A. The coefficients of (x + y)" are given by the nth row of Pascal's
triangle.
B. Each row is a "palindrome" – that is, it is the same if read from
left to right or from right to left.
C. The nth row gives the coefficients in the expansion of (x + y)21.
D. To generate Pascal's triangle, add adjacent terms on a row to
determine the term directly below them.
Answer: PLEASE READ: The coefficients of (x + y)n are given by the nth row of Pascal's triangle. To generate Pascal's triangle, add adjacent terms on a row to determine the term directly below them. Each row is a "palindrome"- that is, it is the same if read from left to right or from right to left.
Step-by-step explanation: A P E X
A circles circumference is approximately 76cm. Estimate the radius, diameter and area of the circle.
Answer:
The circumference of a circle is C = 2πr^2 (2nd power) Radius (r) is the distance from the center of the circle to the outside of it. To find radius divide the diameter (d) by 2. The diameter (d) of a circle is the radius (r) multiplied by 2. To find the diameter (d) you need to do C ÷ π.
For example):
Finding diameter - 76/3.14 = 24.19 (d)
Finding radius - 24.19/2 = 12.095 (r)
EDIT: (C) Means Circumference
Band students at Centerville High School sell candy every year as a fundraiser. Last year,
they sold 54 boxes of truffles and 92 boxes of peanut brittle, raising a total of $492. This
year, they sold 70 boxes of truffles and 92 boxes of peanut brittle, from which they raised
$556. How much does the band earn from each item?
The band earns $___ from each box of truffles and $____
from each box of peanut
brittle.
Answer:
Is there any answer options.?
Step-by-step explanation:
Help me
A room is 12 feet long and 10.5 feet wide. A scale model of the room is 3.5 feet wide. What is the area of the scale model?
a: 10.3 square feet
b:14 square feet
C; 36 square feet
d: 122.5 square feet
Plzz help will give 15 pts and brainliest!!!!!!!!
Answer:
ummmmmmmm what ur question??
Step-by-step explanation:
Answer:
wheres the question at?
A psychology teacher gave a test to 200 students, and, after seeing the results, decided that the scores were
normally distributed. The mean score was 60, and the standard deviation was 10. How many students had scores
between 40 and 80?
Answer:
Step-by-step explanation:
66-95-99.7 rule
standard deviation is 10. meaning that it'll deviate twice meaning you use the 95%
95% of 200 is 190, so 190 students had scores between 40 and 80
Someone please help Ik in desperate need
Answer:
hiiii can i get a closer look
Step-by-step explanation:
Write the coordinates of the point C after dilation with scale factor of 5, centered at the orgin
Answer:
Coordinates of point C after dilation with a scale factor of 5, centered at the origin will be: C'(10, 5)
Step-by-step explanation:
Given the point C
C(2, 1)A dilation with a scale factor of 5 means the size of the coordinates of the image of point P will be 5 times larger than than the original coordinates of point C.
Thus, the rule of dilation by a scale factor 5 is:
(x, y) → (5x, 5y)
C(2, 1) → (5x, 5y) = (5(2), 5(1)) = C'(10, 5)
Therefore, coordinates of the point C after dilation with a scale factor of 5, centered at the origin will be: C'(10, 5)
Answer:
.
Step-by-step explanation:
6. Find the sum or difference.
(6g - 3) - (4g + 5)
5. The table shows the weights of bananas at a grocery store. number of bananas weight in pounds
Answer:
i like bananas
Step-by-step explanation:
Answer:
3=0.96 12= 3.84
Step-by-step explanation: 5/1.6= 0.32
0.32 times 3 =0.6 and 0.32 times 12= 3.84
How do you Solve t/−5=−7.
Step-by-step explanation: 35/-5 = -7
T= 35 hope this helps
Hope researches the impact of one variable on another. She graphs the data from her research and sees that the data forms a shape that is similar to an arch. What conclusion can Hope draw from her graph?
Answer:
She can determine that while there is an association between the variables, there is no correlation, and she cannot determine causation.
Step-by-step explanation:
Since there is an arch shape to her graph, we know that as one variable changes, the other changes in the same manner. This means there is an association between the variables.
However, since the graph is not linear, there is no correlation between the variables. Since there is no correlation, we cannot determine causation.
Mark me as brainiest
Answer:
Sample response
Step-by-step explanation:
Because the graph shows a pattern that is an arch shape, Hope can conclude that there is an association between the variables. However, because the relationship is not linear, there is no correlation. The pattern shows that as one variable changes, the other variable changes in the same way. This does not imply that a change in one variable causes the change in the other variable to happen. Hope cannot conclude that there is a causal relationship.
A recipe uses 3 eggs for every 8 cups of flour. What is the ratio of eggs to flour in the recipe?
8 to 3
StartFraction 3 over 8 EndFraction
3 to 11
8:3
Answer:3:8 or 3/8
Step-by-step explanation:
Which line is perpendicular to the line y = -3x + 2?
A. 3x + y = 4
B. x + 3y = 24
C. 3x - y = 5
D. x - 3y = 3
HELP! WILL GIVE BRANLIEST! Please use the answers provided!
Answer:
□.25
Step-by-step explanation:
Since math has 4 letters the probability of getting A would be .25
Answer:
0.25
Step-by-step explanation:
There is a 25% chance of getting that letter since there are four letter so you have a one out of four chances.
If u know the answer PLZZhelp me I’m struggling
Answer:
What’s the question
Step-by-step explanation:
I’ll still answer if I can but I need to see the question first
(8 - i) - (-82 + 2i)
¿Que es una diagonal?
Answer:
A diagnol line, is a line that intesects with another line in the middle at a 90 degree angle.
Step-by-step explanation:
Hope this helps.
Which of the following could be parallel to y=4?
Answer:
y=0
Step-by-step explanation:
If 37.5% of the 600 shoppers stated they would buy the new flavor, how many of the 600 would buy it?
Answer:
225 lo comprarían
Step-by-step explanation:
Para sacar el porcentaje se multiplica el numero por el porcentaje y dividir entre 100
37.5x600/100
37.5x 600= 22, 500
22,500/100= 225
225 lo comprarían
Please help!!! all these questions are due today
Which sample fairly represents the population? Select two options.
measuring the height of every fiftieth person on the school roster to determine the average height of the boys in the school
calling every third person on the soccer team’s roster to determine how many of the team members have completed their fundraising assignment
observing every person walking down Main Street at 5 p.m. one evening to determine the percentage of people who wear glasses
sending a confidential e-mail survey to every one-hundredth parent in the school district to determine the overall satisfaction of the residents of the town
taking a poll in the lunch room (where all students currently have to eat lunch) to determine the number of students who want to be able to leave campus during lunch
Answer:
...
Step-by-step explanation:
where is the question
Answer:
a and d
Step-by-step explanation: