The algebraic expression for the given sequence 1, 10, 19 as required to be determined is; a (n) = 1 + ( n - 1 ) 9.
What is the algebraic expression for the given sequence?As evident in the task content; it follows that the common difference of the given sequence is constant since; 19 - 10 = 10 - 1 = 9.
On this note, since the nth term of arithmetic sequences take the form;
a (n) = a (1) + ( n - 1 )d
Since the first term is; 1 and the common difference is; 9; the resulting algebraic expression is;
a (n) = 1 + (n - 1)9.
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Work out the size of angle x
Answer:
x = 13
Step-by-step explanation:
There is more than one 98-degree angle since they are all corresponding interior angles.
The supplementary angle to the 98-degree angle next to the triangle is:
180 - 98 = 82 degrees
In addition, another angle inside the triangle is an 85-degree angle. This is because this 85-degree angle is opposite adjacent to the other 85-degree angle.
Hence, the angles inside the triangle are: x, 85, and 82
x + 85 + 82 = 180 ==> Triangles add up to 180 degrees
x + 167 = 180 ==> simplify
x = 13 degrees ==> subtract 167 on both sides
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How do I solve these problems?
Answer:
1.) The 1ˢᵗ three term is (-32), (-7) and 18
2.) The 1ˢᵗ three term is 127, 106 and 85
Step-by-step explanation:
1.)Here,
First Term = a₁ = - 32
Common Difference = (d) = 25
Now, For 1ˢᵗ three term,
n = 1
a₁ = - 32
n = 2
aₙ = a + (n - 1)d
a₂ = (-32) + (2 - 1) × 25
a₂ = (-32) + 1 × 25
a₂ = (-32) + 25
a₂ = -7
n = 3
aₙ = a + (n - 1)d
a₃ = (-32) + (3 - 1) × 25
a₃ = (-32) + 2 × 25
a₃ = (-32) + 50
a₃ = 18
Thus, The 1ˢᵗ three term is (-32), (-7) and 18
2.)Here,
First Term = a₁ = 127
Common Difference = (d) = -21
Now, For 1ˢᵗ three term,
n = 1
a₁ = 127
n = 2
aₙ = a + (n - 1)d
a₂ = 127 + (2 - 1) × (-21)
a₂ = 127 + 1 × (-21)
a₂ = 127 - 21
a₂ = 106
n = 3
aₙ = a + (n - 1)d
a₃ = 127 + (3 - 1) × (-21)
a₃ = 127 + 2 × (-21)
a₃ = 127 - 42
a₃ = 85
Thus, The 1ˢᵗ three term is 127, 106 and 85
-TheUnknownScientist
Karen made 5 less than 4 times the number of free
throws that Kimi made. Write an expression in
simplest form that represents the total number of free
throws made by both players.
I don’t understand how to get my answer
answer:
5x-5
step-by-step explanation:
from the question, it can be determined that karen makes 4x-5 (x representing the amount of free throws made by kimi). since the question is asking you to find the total or sum of their free throws, you add 4x-5 and x to get the answer above. hope that helps!
How many solutions does the system in the image shown
A:one solution
B:zero solutions
C:infinitely many solutions
Answer:
c
Step-by-step explanation:
Q2. The bakers at Healthy Bakery can make 170 bagels in 10 hours.
A. How many bagels can they bake in 13 hours?
Answer:
probably 510, not sure but you can try!
Step-by-step explanation:
Answer:
221 bagels.
Step-by-step explanation:
170 bagels are made in 10 hours.
So, Number of bagels baked in 1 hour = [tex]\frac{170}{10}[/tex]
= 17 bagels an hour
Number of bagels in 13 hours = Number of bagels made in an hour x 13
= 17 x 13
221 bagels will be made in 13 hours.
will give 25 points and brainliestto first answer
Answer:
[tex]{\boxed{\boxed{\tt { TYSM!!}}}} \ [/tex]
Answer:
Step-by-step explanation: hi
How many combinations of ice cream with a topping can be made if there are 3 kinds or ice cream and 5 toppings?
Answer: 15 Combinations
Step-by-step explanation: 5x3=15
A jar contains quarters, loonies, and toonies. If four coins are selected from the jar, how many unique coin combinations are there
When selecting four coins from a jar containing quarters, loonies, and toonies, there are a total of 27 unique combinations.
This can be calculated by using the formula for combination, which is nCr.
In this case,
n is the total number of coins in the jar (3) and
r is the number of coins selected (4).
Therefore, 3/(4(3-4)) = 3/0 = 3/1 = 3,
which is the number of possible combinations in the jar for the quarters, loonies, and toonies. When you multiply 3 by 3, you get 9, and when you multiply 9 by 3 again, you get 27.
Therefore, there are 27 unique coin combinations when selecting four coins from the jar.
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Jo ha three metal block. The weight of each block i the ame. When he weighed one block againt 8 gram, thi i what happened
The block weighed 8 grams. The other two blocks average have weighed the same amount as the first block, so they also weighed 8 grams each.
1. Joe has three metal blocks.
2. The weight of each block is the same.
3. Joe weighed one of the blocks against 8 grams.
4. The block weighed 8 grams.
5. The other two blocks must have weighed the same amount as the first block, so they also weighed 8 grams each.
Joe had three metal blocks that all weighed the same. He weighed one of the blocks against 8 grams, and it weighed exactly 8 grams. This meant that the other two blocks must also have weighed 8 grams each, since the weight of all three was the same. Joe was able to determine the weight of all three blocks with just one measurement.
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EASY POINTS!! EASY POINTS!!
NO LINKS OR FILES!!
Answer:
B
Step-by-step explanation:
Help pls giving brainliest
Answer: False i think
Step-by-step explanation:
Help with math question please
Can you pls help me with this
Answer:
y = x - 2
Step-by-step explanation:
Slope intercept form of an equation: y =mx +bHere m is the slope and b is the y-intercept.
Choose any two points on the line.
(2,0) ; (0,-2)
Now, find the slope.
[tex]\sf \boxed{Slope = \dfrac{y_2-y_1}{x_2-x_1}}[/tex]
[tex]= \dfrac{-2 - 0}{0 - 2}\\\\=\dfrac{-2}{-2}\\\\= +1[/tex]
m = 1.
Now, y = 1x + b
The (2 , 0) passes through the line. Substitute x = 2 and y = 0 in the above equation and find the value of 'b'.
0 = 1*2 + b
0 = 2 + b
-2 = b
Equation of line:
y = x - 2
Mitchell made a scale drawing of a house. A rug in the hallway is 5 inches wide in the drawing. The actual rug is 3 feet wide. What is the drawing's scale factor?
Simplify your answer and write it as a ratio, using a colon.
Answer:
Step-by-step explanation:
a.Scale factor = distance on the plot / actual distance
b.3 feet = 12 inchs.
so scale factor = 5/12
A solid right prism $ABCDEF$ has a height of $16,$ as shown. Also, its bases are equilateral triangles with side length $12.$ Points $X,$ $Y,$ and $Z$ are the midpoints of edges $AC,$ $BC,$ and $DC,$ respectively. A part of the prism above is sliced off with a straight cut through points $X,$ $Y,$ and $Z.$ Determine the surface area of solid $CXYZ,$ the part that was sliced off.
A solid right prism ABCDEF has a height of 16. A part of the prism is sliced off with a straight cut through points X, Y, and Z. CXYZ is a triangular pyramid and its surface area is 48 + 9√3 + 3√91 or 92.2
The situation can be depicted in the attached picture. CXYZ is a triangular pyramid.
The surface area of CXYZ is equal to:
area CXYZ = area ΔCXY + area ΔCYZ + area ΔCXZ + area ΔXYZ
ΔABC and ΔCXY are congruent, hence ΔCXY is a equilateral triangles with its sides are 1/2 those of ΔABC.
CX = CY = XY = 1/2 x 12 = 6
To find the area of ΔCXY, find its height first.
√3/2 = h/6
h = 3√3
Area ΔCXY = 1/2 x 3√3 x 6 = 9√3
ΔCXZ is a right triangle at C. Hence,
Area ΔCXZ = 1/2 x CX x CZ
= 1/2 x 6 x 8 = 24
ΔCYZ = ΔCXZ
Hence,
Area ΔCYZ = 24
To find the area of ΔXYZ, find XZ first using the Pythagorean Theorem.
XZ² = CX² + XZ² (XZ = 8, since Z is midpoint of CD)
XZ² = 6² + 8²
XZ² = 10²
XZ = 10
Find the height of ΔXYZ
h = √(10² - 3² )
h = √91
Therefore,
Area ΔXYZ = 1/2 x XY x h
= 1/2 x 6 x √91 =3√91
Finally,
area CXYZ = area ΔCXY + area ΔCYZ + area ΔCXZ + area ΔXYZ
= 9√3 + 24 + 24 + 3√91
= 48 + 9√3 + 3√91
= 92.2
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What are the properties of a 3 4 5 triangle?
The right angle with in 3-4-5 triangle is naturally 90 degrees. Always opposite the fourth side, at 53.13 degrees, are the other two angles: 36.87 degrees (just opposite the 3rd side).
Explain the 3 4 5 triangle and its properties?Specialized triangles, such as 3-4-5 triangles, can be solved using the Pythagorean theorem.
Any triangle with a single right (90°) angle is referred to as a right triangle. Typically, a tiny square marker is placed within the right triangle to denote this. In every right triangle, these two sides closest to the right angle are shorter than the hypotenuse, the side directly across from the right angle. A right triangle with integers on each side is known as a Pythagorean triple.Thus, this 3-4-5 right triangle is one of the most well-known Pythagorean triples. The hypotenuse, its longest side opposite its right angle, is measured at 5, while the shorter sides measure at 3 and 4.
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help im no good at this
Answer:
8.2 × 10⁻³
Step-by-step explanation:
1.64 × 10⁰ 1.64 × 1 1.64
-------------- = -------------- = ---------- = 0.0082
2.0 × 10² 2 × 100 200
Scientific notation: 8.2 × 10⁻³
I hope this helps!
Question 6 of 10
Which is the best estimate of the circumference of this circle?
3
OA. 18 units
OB. 42 units
OC. 3 units
O D. 6 units
The best estimate for the circumference of a circle with 3 units radius is equal to 18 units. The correct option is A.
Given the radius of the circle is equal to 3 units.
The formula for the circumference of the circle is equal to
[tex]C=2*\pi *r[/tex].
By substituting the value of the radius and pi we will get:
[tex]C=2*3.14*3\\C=18.86[/tex].
Therefore the best estimate will be 18 units.
Complete question:
Which is the best estimate of the circumference of this circle?
radius = 3 units.
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Please help!
Explain how to recognize a difference of two squares.
Answer:
WHEN THE SUM of two numbers multiplies their difference --
(a + b)(a − b)
-- then the product is the difference of their squares:
(a + b)(a − b) = a2 − b2
For, the like terms will cancel.
Symmetrically, the difference of two squares can be factored:
x2 − 25 = (x + 5)(x − 5)
x2 is the square of x. 25 is the square of 5.
The sum of two squares -- a2 + b2 -- cannot be factored. See Section 2.
Example 1. Multiply (x3 + 2)(x3 − 2).
Solution. Recognize the form:
(a + b)(a − b)
The product will be the difference of two squares:
(x3 + 2)(x3 − 2) = x6 − 4.
x6 is the square of x3. 4 is the square of 2.
Upon seeing the form (a + b)(a − b), the student should not do the FOIL method. The student should recognize immediately that the product will be a2 − b2.
That is skill in algebra.
And the order of factors never matters:
(a + b)(a − b) = (a − b)(a + b) = a2 − b2.
Step-by-step explanation:
(a+b)(a-b)
use a and b in the first bracket to multiply the next bracket ; a(a-b)+b(a-b)
a square-ab+ab-bsquare
There are two sets of rainfall data for two different time periods in the same location.
Period 1: 2.3, 2.1, 2.2, 2.2, 2.2, 2.1, 2.4, 2.5, 2.2, 2.0, 1.9, 1.9, 2.1, 2.2, 2.3
Period 2: 2.3, 2.1, 3.3, 1.5, 3.6, 1.6, 3.0, 1.1, 4.7, 2.1, 2.4, 1.9, 2.8, 0.5, 2.3
What type of visual display could be used to compare the two data sets?
Answer:
Box - and - whisker and scatter plots
Step-by-step explanation:
A scatter plot or scatter gram chart can highlight the distribution patterns or demonstrate and compare the two data sets.
What is scatter plot ?
Dots are used to indicate values for two separate numeric variables in a scatter plot . The values for each data point are shown by the position of each dot on the horizontal and vertical axes.
Scatter plot shows the relationships between variables are visualized using scatter plots.
From the given data, it is observed that the given data is observed in the scatter plot.
The given data can highlight the distribution patterns or demonstrate and compare the two data sets.
Hence, a scatter plot or scatter gram chart can highlight the distribution patterns or demonstrate and compare the two data sets.
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what's the answer for 9-5x+2=4-5x
Answer:
0x = -7
Step-by-step explanation:
-5x+5x = 4-9-2
0x = -7
Suppose $P(x)$ is a polynomial of smallest possible degree such that: $\bullet$ $P(x)$ has rational coefficients $\bullet$ $P(-3)
The value of polynomial p(x) when x=0 is 35.
What is a polynomial?
An expression made up of indeterminates and coefficients and utilising solely the operations of addition, subtraction, multiplication, and positive-integer powers of variables is referred to as a polynomial.
The complete question is as follows:
Suppose p(x) is a polynomial of smallest possible degree such that: bullet p(x) has rational coefficients bullet p(-3) = p(\sqrt 7) = p(1-\sqrt 6) = 0 bullet p(-1) = 8 determine the value of p(0).
Given,
p(x) is a polynomial of smallest degree where
p(-3) = p(√7) = p( 1-√6) = 0
p(-1) = 8
So the factors of p are (x+3),(x-√7) and (x - 1+√6)
Given p has rational coeffecients. So we should remove √7 and √6. This can be done by multiplying with conjugates.
(x-√7)*(x+√7) = x²-7
(x-1+√6) * (x-1-√6) = (x-1)² - √6² = x²-2x+1-6 = x²-2x-5
Now the polynomial can be written as
p(x) = c (x+3)(x²-7) (x²-2x-5 )
Here c is a constant and can be determined using p(-1) = 8
p(-1) = c ( -1+3)(-1² - 7 )(-1²-2*(-1) -5)
8 = c(2)(-6)(-2)
c = 1/3
Now the polynomial p(x) = 1/3(x+3)(x²-7) (x²-2x-5 )
Therefore p(0) = 1/3 (3) (-7)(-5) = 35
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V lot
6 cm
2.
5.1 cm
Find the area of the parallelogram.
Answer:
13.26cm^2
Step-by-step explanation:
Someone please help! I’ll give brainliest
Answer:
1520.53
Step-by-step explanation:
Formula for figuring out volume is
Pi*r^2*height=volume
3.14*5.5^2*16
1520.53
Hope this helps :)
The triangle ACE, is a dilation image of triangle ABD. Point A is the center of dilation. Tell whether the dilation is an enlargement or a reduction. Then find the scale factor of the dilation. The length of side AC is 15.
Answer:
Enlargment and 5/4
Step-by-step explanation:
Express (0.0425 + 25) as a fraction
Answer:
54 is the correct answer
Simplify the radical 3√120.
Answer:
= 6√30 or Decimal: 32.863353
Approximately how many cubic centimeters of water can each cup hold?
301 cubic centimeters
201 cubic centimeters
226 cubic centimeters
75 cubic centimeters
Answer:
75
Step-by-step explanation:
Which one of these is the same as 8 + (4 + 10)?
A. 8 × (4 + 10)
B. 8 + (10 + 4)
C. (8 + 4) + (8 + 10)
D. 8 + (4 × 10)
Answer:
[tex]i \: think \: no \:{{b}}[/tex]
B IS YIHR ANSWER
I HOPE IT HELPS
HAVE A NICE DAY
#Captainpower
consider the line -7x-2y=6
find the equation of the line that is parallel to this line and passes through the point (-2,-6)
find the equation of the line that is perpendicular to this line and passes through the point (-2.-6)
The equations are;
a) y = -7/2x - 13
b) -2/7x - 46/7
What is the equation of the line?We know that the equation of the line that we have here can be written in the general form as the equation that is given as; y = mx + c
We have that
m = slope of the line
c = intercept of the line
As such, we have;
-7x-2y=6 or y = 6 + 7x/-2
or
y = -3 - 7x/2
For the parallel line m = - 7/2
y - (-6) = -7/2(x - (-2))
y + 6 = -7/2x - 7
y = -7/2x - 13
For the perpendicular line m = - 2/7
y - (-6) = -2/7(x - (-2))
y + 6 = -2/7x - 4/7
y = -2/7x - 46/7
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