Answer:
first four terms are 2, 7, 12, 17
Step-by-step explanation:
use this formula: [tex]a_{n}[/tex] = [tex]a_{1}[/tex] + (n - 1)· d
where 'n' equals the position in the sequence the term is in and 'd' is the common difference
if [tex]a_{1}[/tex] = 2 and d = 5 are given, plug those into formula
[tex]a_{1}[/tex] = 2
[tex]a_{2}[/tex] = 2 + (2 - 1)·5 = 2+5 = 7
[tex]a_{3}[/tex] = 2 + (3 - 1)·5 = 2+2(5) = 12
[tex]a_{4}[/tex] = 2+(4 - 1)·5 = 2+3(5) = 17
The first four terms of the arithmetic sequence are 2, 7, 12, and 17.
What is an arithmetic sequence?It is a sequence where the difference between each consecutive term is the same.
We have,
First term = 2
Common difference = 5
First term = 2
Second term = 2 + 5 = 7
Third term = 7 + 5 = 12
Third term = 12 + 5 = 17
Thus,
The first four terms of the arithmetic sequence are 2, 7, 12, and 17.
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one and two-thirds divided by 3
Answer:
5/9
Step-by-step explanation:
A principal purchased a total of 32 gas cards and movie passes for prizes. Each gas card cost $25.75, and each movie pass cost $7.25. If the principal spent a total of $454.00, how many gas cards did the principal purchase?
Answer: 12
Step-by-step explanation: 25.75a+7.25b=454
a+b=32
Which statement about the value of x is true?
O x>38
Ox<39
Ox=77
OX > 103
Answer:
x = 77 and x > 38
Step-by-step explanation:
Sum of all angles in a triangle is 180.
The angle PNO will hence be:
180 - 38 - 39 = 103 degrees.
The angle PNO + angle x = 180 degrees (straight line)
So 103 + x = 180, therefore x = 180 - 103 = 77.
Which is also greater than 38, so x > 38 is also correct.
The solution is : x = 77 and x > 38
What is an angle?In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.
here, we have,
Sum of all angles in a triangle is 180.
The angle PNO will hence be:
180 - 38 - 39 = 103 degrees.
The angle PNO + angle x = 180 degrees (straight line)
So 103 + x = 180,
therefore x = 180 - 103 = 77.
Which is also greater than 38,
so x > 38 is also correct.
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There are six doors in a hostel .In how many ways a student enters the hostel and leave by different door
Answer:
5 times
Step-by-step explanation:
Because he enters through the front door.
How do you rotate triangle A",B",C" 270 degrees around the origin. coordinates A" (-1,1), B"(1,-2) and C"(0,-4)
9514 1404 393
Answer:
rotated vertices are (1, 1), (-2, -1), (-4, 0)
Step-by-step explanation:
When the rotation direction is not specified, it is usually taken to be counterclockwise. Rotation 270° CCW is the same as rotation 90° CW. The transformation of coordinates is ...
(x, y) ⇒ (y, -x)
Then your rotated points become ...
A(-1, 1) ⇒ A'(1, 1)
B(1, -2) ⇒ B'(-2, -1)
C(0, -4) ⇒ C'(-4, 0)
_____
In the attached, the rotated triangle is shown in red. As an example, the arc through which point C is rotated is shown.
Help I’ll mark you brainly! And give extra points!
Answer: I think #2 is either A or C
Step-by-step explanation: Hope it helped! :)
Please help me answer this !
Answer:
[tex] y = -\frac{1}{2}x + 4 [/tex]
Step-by-step explanation:
The equation of the line can be written in slope-intercept form, as y = mx + b.
We need to find the slope (m) and the y-intercept (b) of the line, then plug their values into the slope-intercept equation, to find the equation of the line shown.
y-intercept (b) = the point where the line intercepts the y-axis = 4
Using two points on the line, say, (0, 4) and (2, 3):
[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{3 - 4}{2 - 0} = \frac{-1}{2} = -\frac{1}{2} [/tex]
m = -½.
Substitute m = -½, and b = 4 into y = mx + b.
The equation of the line would be:
[tex] y = -\frac{1}{2}x + 4 [/tex]
For the right triangle shown, use the trig functions to find the value of x. Round your answer to the nearest tenth.
1. 9.1
2. 8.2
3. 9.4
4. 7
Answer:
[tex]\boxed{\boxed {\sf 3. \ 9.4}}[/tex]
Step-by-step explanation:
First, recall the three basic right triangle trigonometry ratios.
sin(θ)=opposite/hypotenuse cos(θ)= adjacent/hypotenuse tan(θ)= opposite/adjacentTheta (θ) represents the angle. The angle (other than the right angle) is 70 degrees.
We are also given 2 sides: 10 and x.
10 is the hypotenuse, because it is opposite the right angle. x is opposite the 70 degree angle.Since we have the opposite and hypotenuse, we must use sine.
[tex]sin (\Theta)= \frac{opposite}{hypotenuse}}[/tex]
The angle is 70 degrees, the opposite is x, and the hypotenuse is 10.
[tex]sin(70)=\frac{x}{10}[/tex]
We are solving for x. We must isolate x on one side of the equation.
Currently, x is being divided by 10. To "undo" the division, we must perform the inverse operation, which is multiplication. Multiply both sides of the equation by 10.
[tex]10*sin(70)=\frac{x}{10}*10[/tex]
[tex]10*sin(70)=x[/tex]
[tex]10*0.939692621=x[/tex]
[tex]9.39692621=x[/tex]
Round to the nearest tenth. The 9 in the hundredth place tells us to round the 3 up to a 4.
[tex]9.4 \approx x[/tex]
x is about 9.4
Answer:
First, recall the three basic right triangle trigonometry ratios.sin(θ)=opposite/hypotenusecos(θ)= adjacent/hypotenusetan(θ)= opposite/adjacentTheta (θ) represents the angle. The angle (other than the right angle) is 70 degrees.We are also given 2 sides: 10 and x.10 is the hypotenuse, because it is opposite the right angle.x is opposite the 70 degree angle.Since we have the opposite and hypotenuse, we must use sine.sin (\Theta)= \frac{opposite}{hypotenuse}}The angle is 70 degrees, the opposite is x, and the hypotenuse is 10.sin(70)=\frac{x}{10}sin(70)= 10x
We are solving for x. We must isolate x on one side of the equation.Currently, x is being divided by 10. To "undo" the division, we must perform the inverse operation, which is multiplication. Multiply both sides of the equation by 10.10*sin(70)=\frac{x}{10}*1010∗sin(70)= 10x
∗1010*sin(70)=x10∗sin(70)=x10*0.939692621=x10∗0.939692621=x9.39692621=x9.39692621=xRound to the nearest tenth. The 9 in the hundredth place tells us to round the 3 up to a 4.9.4 \approx x9.4≈xx is about 9.4
- 5 + 7k = -19
Help pwease
Answer:
k = -2
Step-by-step explanation:
-5 + 7k = -19
7k = -14
k = -2
1. Display the data in a matrix A with rows indicating years. What is element a 14?
Answer:
LOL i don't even know
Step-by-step explanation:
Answer:
63
Step-by-step explanation you just killed my brainmeats
In a right-angled triangle
, one acute angle is 30°. Find the other acute angle
VII CLASS MATHEMATICS
Answer:
60°
Step-by-step explanation:
sum of all angles is 180
and it's a right-angled triangle so there is angle = 90
so the other acute angle = 180-30-90=60°
Answer:
60
Step-by-step explanation:
90+30= 120
180-120= 60
How many 1/2 yard lengths are in 1 yard
Answer:
1/2 yard is equal to 18 inches
Step-by-step explanation:
While President, Obama received an average of 60, 000 letters per week at the White House.
Approximately how many letters does he receive in a day?
Answer:
8571 letters per day
Step-by-step explanation:
60,000/1 week is the same as 60,000/7 days so
60,000/7 = 8571.428571
is aproximately 8571 letters per day
A circular tablecloth has a diameter of 6 feet,as show on the picture.
What is the area,in square feet,of the tablecloth.
Given the set of vertices, determine whether parallelogram ABCD is a rhombus, rectangle or square. List all that apply. A(7,-4), B(-1,-4), C(-1,-12), D(7, -12)
a. rhombus c. square, rectangle, rhombus
b. square d. rectangle
Given:
Vertices of a parallelogram ABCD are A(7,-4), B(-1,-4), C(-1,-12), D(7, -12).
To find:
Whether the parallelogram ABCD is a rhombus, rectangle or square.
Solution:
Distance formula:
[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Using distance formula, we get
[tex]AB=\sqrt{(-4-(-4))^2+(-1-7)^2}[/tex]
[tex]AB=\sqrt{(-4+4)^2+(-8)^2}[/tex]
[tex]AB=\sqrt{0+64}[/tex]
[tex]AB=8[/tex]
Similarly,
[tex]BC=\sqrt{(-1-(-1))^2+(12-(-4))^2}=8[/tex]
[tex]CD=\sqrt{(7-(-1))^2+(-12-(-12))^2}=8[/tex]
[tex]AD=\sqrt{(7-7)^2+(-12-(-4))^2}=8[/tex]
All sides of parallelogram are equal.
[tex]AC=\sqrt{(-1-7)^2+(-12-(-4))^2}=8\sqrt{2}[/tex]
[tex]BD=\sqrt{(7-(-1))^2+(-12-(-4))^2}=8\sqrt{2}[/tex]
Both diagonals are equal.
Since, all sides are equal and both diagonals are equal, therefore, the parallelogram ABCD is a square.
We know that, a square is special case of rectangles and rhombus.
So, parallelogram ABCD is a rhombus, rectangle or square. Therefore, the correct option is c.
Find all the real square roots of -49
Answer:
-7
Step-by-step explanation:
Answer:
7i
Step-by-step explanation:
the square root of 49 is 7
i equals -1
7 squared times -1 equals -49
xoxo,your highness...Hello there ^^ I'd love it if you would help me :D
Answer:
Great question
Step-by-step explanation:
Where is it :p
What is 3/5 converted into a percent.
Answer:
60%
Step-by-step explanation:
multiply 3/5 by 20
Answer:
60%
since 100/100 is 100%, we just have to find a number that will make the denominator 5 equal to 100. That is 20 so we multiply 20 for both 3 and 5. This equals to 60/100, which is 60%
Why do we say that the sun is the driving force for (it causes) the weather?
The sun evenly heats up the Earth causing winds.
The sun affects land and water the same way.
The sun supplies the energy (radiation) that drives the water cycle.
The sun evenly heats up the Earth causing water currents.
Answer: The sun supplies the energy (radiation) that drives the water cycle.
Step-by-step explanation:
Option A is wrong because the Sun does not evenly heat up the Earth. The Earth is spherical so the sun heats up some areas more than others.
Option B is wrong as well because the sun does not affect the land and the water the same way.
Option C is correct because radiation from the sun is what causes evaporation in the water cycle.
Option D is wrong because as shown in the first option, the sun does not evenly heat up the Earth.
will give bralist HELP ME PLEASE
Answer:
It would be a I think
Step-by-step explanation:
Answer:
The answer is A
Step-by-step explanation:
True or false
2+(-2) is equal to zero.
Answer:
It is TRUE.
Other:
Brainliest? Thanks!
anyone know this two questions I can't figure this out
Answer:
22) x - 46 = 74
23) 20 portions
Step-by-step explanation:
21)
Let x = the number of cars Sara sold.
Jerry sold 46 cars fewer than Sara, so Jerry sold x - 46 cars.
Jerry sold 74 cars, so the equation is
x - 46 = 74
Answer: x - 46 = 74
22)
Let the number of 1/3 lb portions = x
The weight of x number of 1/3-lb portions is 1/3 * x, or simply x/3.
The full bag weighs 6 2/3 lb.
The equation is
x/3 = 6 2/3
Now we solve for x.
x/3 = 20/3
Multiply both sides by 3.
x = 20
Answer: 20 portions
Answer:
let 's' = Sara's amount
let 's-46' = Jerry's amount
equation: s - 46 = 74
s = 120
Step-by-step explanation:
2nd question: [tex]\frac{20}{3}[/tex] ÷ [tex]\frac{1}{3}[/tex] = [tex]\frac{20}{3}[/tex]· [tex]\frac{3}{1}[/tex] = 20
In the rectangle below, AChas a length of 32 units. What is the length of DE?
O A. 32 units
OB. 64 units
OC. 24 units
O D. 16 units
Louis is buying groceries and stops at the deli counter to purchase sliced Swiss cheese. The deli uses a scale like the one shown to calculate the weight and price of deli purchases.
Help with this problem!!!!
X/2-3=9
Answer:
pretty sure it's
2
−
3
=
9
\frac{X}{2}-3=9
2X−3=9
2
−
3
+
3
=
9
+
3
Solve for x. Round to the nearest hundredth. ?!?!? Please HELPP ASAP
I really don't know this I'm so sorry
Answer:
14
Step-by-step explanation:
Well, a right triangle has a total of 90 degrees, if the hypotenuse is 22, and leg b is 54, then the remaining leg a would have to be 14.
L.B Johnson middle miguel took part
Answer:
Johnson Middle School held a track and field event during the school year. Miguel took part in a four-person shot put team. Shot put is a track and field event where athletes throw (or "put") a heavy sphere, called a "shot," as far as possible.
Step-by-step explanation:
PLZZ MARK BRAINLIEST!!!!!
A study has shown that the daily amount of milk produced by a dairy cow is normally distributed, with a mean of 6.2 gallons and a standard deviation of 0.7 gallons. On a given day, 99.7% of the cows will produce an amount of milk within which of the following ranges?
Answer: 4.1 gallons to 8.3 gallons
Step-by-step explanation:
just took the quiz
99.7% of the cows will produce an amount of milk in the range is 5.5 gallons to 6.9 gallons option (A) is correct.
What is a normal distribution?It's the probability curve of a continuous distribution that's most likely symmetric around the mean. On the Z curve, at Z=0, the chance is 50-50. A bell-shaped curve is another name for it.
The missing options are:
A. 5.5 gallons to 6.9 gallonsB. 4.8 gallons to 7.6 gallonsC. 4.1 gallons to 8.3 gallonsD. 3.4 gallons to 9.0 gallonsWe have:
A study has shown that the daily amount of milk produced by a dairy cow is normally distributed, with a mean of 6.2 gallons and a standard deviation of 0.7 gallons.
The mean = 6.2 gallons
Standard deviation = 0.7 gallons
The range can be calculated:
Lower range = 6.2 - 0.7 = 5.5 gallons
Upper range = 6.2 + 0.7 = 6.9 gallons
Thus, 99.7% of the cows will produce an amount of milk in the range is 5.5 gallons to 6.9 gallons option (A) is correct.
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HELP!!!! 2 dot plots. Both number lines go from 0 to 10. Plot 1 is titled fifth grade. There are 2 dots above 1, 3 above 2, 1 above 3, 4 above 4, 5 above 5, 5 above 6, 2 above 7, 2 above 8, 0 above 9, 0 above 10. Plot 2 is titled seventh grade. There are 2 dots above 0, 2 above 1, 3 above 2, 5 above 3, 5 above 4, 3 above 5, 3 above 6, 1 above 7, and 0 above 8, 9, and 10.
The dot plot shows the number of hours, to the nearest hour, that a sample of 5th graders and 7th graders spend watching television each week. What are the mean and median?
The 5th-grade mean is
.
The 7th-grade mean is
.
The 5th-grade median is
.
The 7th-grade median is
.
Answer:
5th grade mean - 4.67
7th grade mean - 3.46
5th-grade median - 5
7th-grade median - 3.5
What is the value of the expression 24/x when x = 8?
Answer:
Itd be 3 becaus 24/8 is 3