Let a be first term
[tex]\\ \rm\longmapsto a_8=a+7d[/tex]
[tex]\\ \rm\longmapsto 26=a+7(3)[/tex]
[tex]\\ \rm\longmapsto a=26-21[/tex]
[tex]\\ \rm\longmapsto a=5[/tex]
Now
[tex]\\ \rm\longmapsto a_4=a+3d[/tex]
[tex]\\ \rm\longmapsto a_4=5+3(3)[/tex]
[tex]\\ \rm\longmapsto a_4=5+9[/tex]
[tex]\\ \rm\longmapsto a_4=14[/tex]
Find the first four terms of the sequence given by the following.
an=51 + (n-1).8, n=1, 2, 3...
Answer:
Step-by-step explanation:
a1 = 51 + (1 -1 ) * 0.8
a1 = 51
a2 = 51 + (2 - 1)*0.8
a2 = 51 + 0.8
a2 = 51.8
a3 = 51 + (3 - 1)*0.8
a3 = 51 + 2*0.8
a3 = 51 + 1.6
a3 = 52.6
a4 = 51 + (4 - 1)*0.8
a4 = 51 + 2.4
a4 = 53.4
How to do these two questions?
Answer:
C
A
Step-by-step explanation:
adjacent means neighboring, right next to it. that would be 1 and 4.
supplementary means being a complementary, an additional angle, so that in sum both angles together have 180 degrees. and that is only 1.
so, C is the answer.
angle 7 = 115 degrees.
so, angle 8 is supplementary to angle 7.
they are being mirrored on the other side of the line.
so, angle 6 = angle 7, and angle 5 = angle 8.
and the same quadruple of angles have to appear, where the crossing line crosses another, parallel line. they have to be the same angles there again.
so, angle 3 = angle 7, angle 4 = angle 8, angle 1 = angle 5, angle 2 = angle 6.
and because angle 6 is also = angle 7, we have angle 2 = angle 7 = 115 degrees.
Answer:
C and A
Step-by-step explanation:
∠ 5 and ∠ 1 are adjacent ( next to each other) on the same line
The angles on a straight line sum to 180° ( supplementary )
Then ∠ 1 is adjacent and supplementary to ∠ 5 → C
----------------------------------------------------------------------------
∠ 2 and ∠ 7 are alternate exterior angles and are congruent , then
∠ 2 = ∠ 7 = 115° → A
Which property justifies the following equation? 7[6+5+(-6)] = [6+(-6)+5] A.distributive B.commutative C.associative D.identity
answer it answer it answer it.
Answer:
C. p = 3/q
Step-by-step explanation:
An inverse proportion has the form:
y = k/x
Your problem uses p and q, so you need the form
p = k/q
Answer: C. p = 3/q
Which expression is equivalent to 125x6, 1533?
Answer:
511 x 3 = 1533
Step-by-step explanation:
here's another:
219 x 7
hope this helpes
Please answer this question now
Answer:
320 sq in
Step-by-step explanation:
4(1/2*8*16) + (8*8)
= 4(64) + (64)
= 5(64)
= 320
Gabby left the mall and drove north. Violet left 2 hours later, driving 18 mph faster to catch up with Gabby. After 3 hours, she caught up with Gabby. Find Gabby's
average speed.
O 45 mph
O 54 mph
O 27 mph
O 36 mph
let the speed of Gabby be S and the speed of violet be S+18
they drove the same distance(d) so d is constant
S*5=(S+18)*3
5s=3S+54
2S=54
S=27mph
Let a and b be rational numbers. Is a – b rational or irrational?
Answer:
Rational
Step-by-step explanation:
Since a and b are rational, a - b has to be rational because we are not dividing them. 2 rational numbers subtracted from each other is always a rational number.
Example: 34 (rational) 23 (rational)
34 - 23 = 11 (rational)
Determine the minimum rotation (in degrees) which will carry the following figures onto itself (where all sides and verticles will match up). Assume this is a regular polygon. Round to the nearest tenth if necessary.
Answer:
60°
Step-by-step explanation:
A full rotation is 360°. The figure has six sides.
1. Divide
360 ÷ 6 = 60
Each angle of the polygon is 60°. Therefore, the polygon must be rotated at least 60° for the figure to match all sides and vertices.
1 minus tan square A by 2 by tan + square A by 2 equals to Cos A
Answer:
trerjyhtrwgfdfeqrtgfnerwqdfgfgrqwefgn
Step-by-step explanation:
5•s indicate multiplication using parentheses and then without using a raised dot or parentheses.
ALGEBRA 1
Find the length of the missing side. Leave your answer in simplest radical form. A. 296 ft B. 2[tex]\sqrt{74}[/tex] ft C. [tex]\sqrt{206}[/tex] ft D. [tex]\sqrt{26}[/tex] ft
Answer:
B
Step-by-step explanation:
Since this is a right triangle and we are given the two legs, we can use the Pythagorean Theorem.
The Pythagorean Theorem is:
[tex]c^2=a^2+b^2[/tex]
Where c is the hypotenuse (longest side) and a and b are the two legs.
Plug in 10 and 14 for a and b (it doesn't matter which one) and solve for c.
[tex]c^2=10^+14^2\\c^2=100+196\\c^2=296\\c=\sqrt{296}=\sqrt{4\cdot 74}=\sqrt4\cdot\sqrt{74}=2\sqrt{74}[/tex]
-7α + 28 = 7
please help
Answer:
-7α + 28 = 7
-7α + 28 - 28 = 7 - 28
-7α = -21
α = -21/-7
α = 3
The value of α is 3.When the movies is half over , popcorn sells for half price. Full price popcorn is $3.50 and drinks are $1.35 . Determine the cost for purchasing 3 orders of popcorn and 3 drinks when the movie is half over
Answer:
The total price is $9.30
Step-by-step explanation:
Price of the orders of popcorn= $5.25
Price of the drinks= $4.05
A cylinder has dimensions that give the following ratio.
(Area of top + base): (total surface area) = 1:5
Choose the correct statement.
a. ОHeight = 2 x radius
b. O Height = 3 x radius
c. O Height = 4 x radius
d. O Height = 5 x radius
Answer: a. OHeight = 2 x radius
Step-by-step explanation:
(48. PERSEVERE Wha
PERSEVERE What is the greatest number of planes determined using any three of
the points A, B, C, and D if no three points are collinear?
Answer: 4
Step-by-step explanation:
We know that a plane is 2 dimensional surface that extends infinitely far.
The number of points required to define a plane = 3
Here , we have 4 points A, B, C, and D.
So, the number of possible combinations of 3 points to make a plane from 4 points = [tex]C(4,3)[/tex]
[tex]=4[/tex] [ [tex]C(n,n-1)=n[/tex] ]
Hence, the greatest number of planes determined using any three of the points A, B, C, and D if no three points are collinear = 4.
A right triangle has a 6cm base and an 8cm height. What is the length of the hypotenuse, in centimeters?
Answer:
the answer is 10 or 6^2+8^2=100
√100=10
N tells about in a math question
Answer:
N means Natural Number in Maths
Step-by-step explanation:
N=natural,Z=integer,R=real number
Sausages come in packets of 12. Bread rolls come in packets of 9. Brian wants to buy enough packs of sausages and rolls so that there are an equal number of sausages and rolls. What is the minimum number of sausages and rolls he needs to buy?
Use the drop-down menus to label the graph according to its type. On a coordinate plane, a graph has two straight lines that connect at (0, 0). One line has a positive slope from (0, 0) going through (3, 2) and the other has a negative slope from (0,0) going through (4, negative 3). The graph above:
The point of intersection of the graph of y = (2/3)x and y = (-3/4)x is at point (0, 0).
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The straight line passing through (0, 0) and (3, 2) have an equation of y = (2/3)x while the straight line passing through (0, 0) and (4, -3) have an equation of y = (-3/4)x
The point of intersection of the graph of y = (2/3)x and y = (-3/4)x is at point (0, 0).
Find out more on equation at: https://brainly.com/question/2972832
#SPJ1
Answer:
Relation (But not a function) Your welcome.
Step-by-step explanation:
How to do this question plz answer me step by
Answer:
481.92
Step-by-step explanation:
First find the increase
466.98 * 3.2%
466.98 * .032
14.94336
Add this to the original amount
466.98+14.94336
481.92336
Round to 2 decimal places
481.92
The sum of two numbers is 50. If the larger number is divided by the
smaller number we get 7/11. Find the numbers.
Answer:
Set two equations:
Number #1 = xNumber #2 = y[tex]\left \{ {{x+y=50} \atop {\frac{x}{y}=\frac{7}{11} }} \right.[/tex]
Rearrange one of the equations to find the value of a variable:
[tex]x+y=50\\x=50-y[/tex]
Substitute in that value into the other equation:
[tex]\frac{50-y}{y}=\frac{7}{11}[/tex]
Cross-multiply & solve for y:
[tex]7y=11(50-y) \\7y=550-11y\\7y+11y=550\\18y=550\\y=\frac{550}{18}=\frac{275}{9}[/tex]
Substitute in the value to the original equation to find x:
[tex]\frac{x}{\frac{275}{9}}=\frac{7}{11} \\\frac{9x}{275}=\frac{7}{11} \\9(11)x=275(7)\\99x=1925\\x=\frac{1925}{99} =\frac{175}{9}[/tex]
Therefore, the answer will be:
x = [tex]\frac{175}{9}[/tex]y = [tex]\frac{275}{9}[/tex]You can check your answers by:
[tex]\frac{175}{9} +\frac{275}{9} =\frac{450}{9} =50[/tex]
[tex]\frac{\frac{175}{9} }{\frac{275}{9} } =\frac{175}{9} *\frac{9}{275} =\frac{175}{275}=\frac{7}{11}[/tex]
Answer:
x = 175/9
y = 275/9
Step-by-step explanation:
Let the larger number be 'x' and smaller number be 'y'
sum of two numbers is 50.
x +y = 50 --------(I)
x = 50 - y -------------(II)
The larger number is divided by the smaller number we get 7/11.
[tex]\frac{x}{y}=\frac{7}{11}\\\\[/tex]
Cross multiply,
11x = 7y
11x - 7y = 0 ------------(III)
Substitute x = 50 -y in equation (III)
11*(50-y) - 7y = 0
11*50 - 11*y - 7y = 0 {Distributive property}
550 - 11y - 7y = 0
550 - 18 y = 0 {Combine like terms}
Subtract 550 from both sides
- 18y = -550
Divide both sides by (-18)
y = -550/-18
y = 275/9
substitute y = 275/9 in equation (III)
[tex]11x - 7*(\frac{275}{9})=0\\\\11x-\frac{1925}{9}=0\\\\11x =\frac{1925}{9}\\\\x=\frac{1925}{9*11}\\\\x=\frac{175}{9}[/tex]
To determine the relative effectiveness of different study strategies for the SAT, suppose three groups of students are randomly selected: One group took the SAT without any prior studying; the second group took the SAT after studying on their own from a common study booklet available in the bookstore; and the third group took the SAT after completing a paid summer study session from a private test-prep company. The means and standard deviations of the resulting SAT scores from this hypothetical study are summarized below:
Using the following output:
we can conclude that:
(a) the data provide strong evidence that SAT scores are related to learning strategy.
(b) the data provide strong evidence that SAT scores are related to learning strategy in the following way: The mean SAT score for students who pay for coaching is higher than the mean SAT score for students who study themselves, which in turn is higher than that of students who do not study for the test.
(c) the data provide strong evidence that the three mean SAT scores (representing the three learning strategies) are not all equal.
(d) the data do not provide sufficient evidence that SAT scores are related to learning strategy.
(e) Both (a) and (c) are correct.
Answer:
(b) the data provide strong evidence that SAT scores are related to learning strategy in the following way: The mean SAT score for students who pay for coaching is higher than mean SAT score for students who study themselves, which in turn is higher than those students who do not study for test.
(c) The data provide strong evidence that the three mean SAT scores (representing the three learning strategies) are not all equal.
Step-by-step explanation:
Relative effectiveness is to study the extent to which an intervention of a thing does more good than harming it when two or more alternative interventions are observed. In the given question the SAT mean score for students who are paying higher for coaching than those student who believe in self study.
Find the perimeter of the rectangle with a A. 11 in. B. 22 in. C. 28 in. D. 56 in.
Answer:
B.22
Step-by-step explanation:
4+4+7+7=22
Once upon a time there was a farmer whose family raised pigs and chickens. If you counted 24 heads and 80 feet, how many chickens were there? How many pigs were there?
Answer:
Number of chickens = 8
Number of pigs = 16
Step-by-step explanation:
Let the pigs = p
Let the number of chickens = c
Number of heads = 24
p + c = 24 ----------------(I)
p= 24 - c
Number of feet = 80
Chicken has 2 legs and pig has 4 legs
4p + 2c = 80 --------------(II)
Substitute p = 24 - c in equation (II)
4*(24 - c) + 2c = 80
4*24 - 4*c + 2c = 80
96 - 4c + 2c = 80 {Combine like terms}
96 - 2c = 80 {subtract 96 from both sides}
-2c = 80 - 96
-2c = -16 {Divide both sides by (-2)}
c = -16/-2
c = 8
Plugin c = 8 in equation (I)
p + 8 = 24
p = 24 - 8
p = 16
15 points! :( help asap!:(
(-1,-5)
(0,-3)
(4,5)
(9,15)
Answer:
(0,-3)
Step-by-step explanation:
You can plug in x and y into the equations to see if it works.
(-1,5)
2(-1)-(-5)=-2+5=3 Yes
(-1)+2(-5)=-1-10=-11 No
So (-1,5) Does NOT work.
(0,3)
2(0)-(-3)=0+3=3 Yes
(0)+2(-3)=0-6=-6 Yes
So (0,-3) DOES work.
Find the 2nd term in the sequence. Will give Brainliest.
Answer:
17
Step-by-step explanation:
b(1) = 16
b(2) = b(2-1) +1
= b(1) +1
= 16+1
= 17
Item 4
Luis reads the temperature of a solution in a lab experiment. The temperature of the solution is 5.6º F. After 6 hours, he reads the temperature of the solution again. The temperature of the solution is now −1.2°F .
Luis plots the points on the number line to determine the temperature change between these two readings.
What is the temperature change?
ANSWER:____° F
The temperature change after 6 hours is 6.8°F
Initial temperature = 5.6°F
Initial temperature = 5.6°FFinal temperature after 6 hours = -1.2°F
The temperature change can be calculated as the difference in the value of final and initial temperature.
Temperature change = (final temperature - initial temperature)
Temperature change = (5.6 - (-1.2))°F
Temperature change = (5.6 + 1.2)°F = 6.8°F
Hence, temperature change after 6 hours is 6.8°F
Learn more : https://brainly.com/question/15473063
Answer:
6.8
Step-by-step explanation:
k12
If the coefficient of determination for a data set containing 24 points is 0.5,
12 of the data points must lie on the regression line for the data set.
A. True
O B. False
SUBMIT
Answer:
False
Step-by-step explanation:
False - one has nothing to do with the other. None of the data points can lie on the regression line,
and you can have the coeff. of determination be 0.5.
Make t as the subject of the formula.
P = d + 15t
Answer:
[tex]t=\frac{P-d}{15}[/tex]
Step-by-step explanation:
[tex]P=d+15t\\\\P-d=15t\\\\\frac{P-d}{15}=t[/tex]