Answer:
there is 8 quadrilateral shapes
Select the correct answer.
Observe the sequences below.
I. -3, 1, 5, 9, . . .
II. 1, 2, 4, 8, . . .
III. 4, -12, 36, -108, . . .
IV. 7, 14, 21, 28, . . .
Which of these are arithmetic sequences?
A.
IV only
B.
I and IV
C.
I, II, and IV
D.
II and III
Answer:
B
Step-by-step explanation:
The answer is B, I and IV only
Option B is correct about observing the sequences below.
We have given that,
I. -3, 1, 5, 9, . . .
II. 1, 2, 4, 8, . . .
III. 4, -12, 36, -108, . . .
IV. 7, 14, 21, 28, . . .
What is the sequence?A sequence is an enumerated collection of objects in which repetitions are allowed and order matters.
We have to determine the correct answer for the above sequence
Therefore, The answer is B, I, and IV only.
To learn more about the sequence visit:
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Find measure of angles B, E, D and C and the length of BC.
Triangle ABC ~ Triangle DEF. Measure of angle A = 30 degrees and measure of angle F = 65 degrees. AB=20, DE = 35, EF= 28.
Answer:
< B = 180-30-65=85°
< E = 85°
< D = 30°
< C = 65°
BC = 20/35 × 28 = 16
Answer:
<D = 30
< C = 65
<B = <E = 85
16 = BC
Step-by-step explanation:
ABC ~ Triangle DEF
<A = <D = 30
< C = <F = 65
Since they are similar triangles
A+ C + B = 180 since the angles of a triangle = 180
30+65+B =180
95+ B = 180
<B = 180 -95 = 85
<B = <E = 85
The triangles are similar so the sides are proportional
AB BC
---- = ---------
DE EF
20 BC
---- = ---------
35 28
Using cross products
20*28 = 35 BC
Divide each side by 35
20*28/35 = 35/35 BC
16 = BC
6 friends go out for dinner and the bill for food and drink comes to £140.
The friends decide to add a 20% tip on top of this total.
If they divide the expense equally between them, how much does each friend pay?
Answer:
£28
Step-by-step explanation:
140 x .2 = 28
28+140 = 168
168/6 = 28
Each number in the sequence is 8 less than the previous number which list of number can be described by the following rule
A.69,60,53
B.53,61,69
C.53,60,69
D.69,61,53
Answer: a
Step-by-step explanation:
What is the measure of ZWX?
Step-by-step explanation:
180°+63°
=243°
holp it help
If f(x) = x3 + 5, then what is the remainder when f(x) is divided by x + 3?
==========================================================
Explanation:
You could use synthetic division or polynomial long division to find the answer, but a much quicker way is to apply the remainder theorem.
That theorem says that if we divide p(x) over (x-k), then the remainder is p(k).
We're dividing over x+3, or x-(-3), so we can see that k = -3 in this case.
Plug this into the function
f(x) = x^3+5
f(-3) = (-3)^3 + 5
f(-3) = -27 + 5
f(-3) = -22 is the remainder
------------
If you want to use polynomial long division or synthetic division, then check out the diagram below.
please help! I dont understand how to answer. i got x^2-9x+20=0 as my answer. am i incorrect?
Answer:
x² - 9x + 20
You are correct.
None of the listed choices are correct.
-----------------------------
I think the question originally had 5 and -4 as the solutions
https://www.jmap.org/Worksheets/A.APR.B.3.ZerosofPolynomialsPR1.pdf
x = {-4, 5}
(x + 4)(x - 5) = 0
x² - 5x + 4x - 20 = 0
x² - x - 20 = 0 Answer E
Step-by-step explanation:
x = {4, 5}
y = (x - 4)(x - 5)
y = x² - 5x - 4x + 20
y = x² - 9x + 20
13.The property used in the product 30 × (-5 × 24) = (30 × -5) × 24 is
Answer:
Associative property of multiplication
Step-by-step explanation:
Associative property of multiplication is one of the properties used to solve mathematical questions
This is given by the formula
a × (b × c) = (a × b) × c
Therefore based on the above explanation, the property used in the product 30 × (-5 × 24) = (30 × -5) × 24 is called the Associative property of multiplication
(12 ÷ 3 ∙ 2) + 4 − 5
Answer:
7
Step-by-step explanation:
(4·2)+4-5
8+4-5
12-5=
7
Translate the sentence into an equation. Twice the difference of a number and 6 is 2.
Answer:
let the number be x.
2(x-6)=2hope it helps
stay safe healthy and happy....What is the area of a figure with the measurements of 3,6, and 5?
Answer:
I think it is 181m.
Step-by-step explanation:
[tex]by \: imagination \: you \: separate \: all \: the \: shapes[/tex]
you also name it .
I name the triangle area A
I name the rectangle area B
it is a triangle because it has different measurements on its sides.
I name the semi- circle area C.
[tex]area \: of \: a \: triangle \: = \\ \frac{1}{2} \times b \times h \\ \frac{1}{2} \times 5 \times 3 \\ \frac{1}{ 2} \times 15 \\ 7.5[/tex]
[tex]aea \: of \: a \: rectangle \: = l \times b \\ 5 \times 6 = \\ 30[/tex]
[tex]area \: of \: a \: semi \: circle \: = \frac{1}{2 } \times \pi \times {r}^{2} \\ \frac{1}{2} \times 3.14 \times 3 \times 3 \\ \frac{1}{2} \times 3.14 \times 9 \\ \frac{1}{2} \times \frac{314}{10} \times 9 \\ [/tex]
[tex]you \: then \: cancle \: 134 \: by \: 2[/tex]
[tex] = \frac{154}{10} \times 9[/tex]
[tex] = \frac{1431}{10} \\ 143.1[/tex]
[tex]you \: now \: add \: all \: the \: ares \: to \: get \: your \: full \: area \\ 7.5 + 30 + 143.1 \\ = 180.6 \\ to \: the \: nearest \: hundred \: will \: be \: 181m[/tex]
If a line moves downward from left to right, it has a
Answer:
Negative slope
Step-by-step explanation:
Answer and Step-by-step explanation:
The answer is that the line has a negative slope.
In an equation, the the slope (m) would be a negative number, looking like this:
y = -mx + b
#teamtrees #PAW (Plant And Water)
for freshman year Nick had 3.5 for a gpa. what gpa does Nick needs for sophomore, junior, senior year to get the average of at least 4.0?
Answer:4.0
Step-by-step explanation:
If a line falls on the points (6,22) and (4,21), what is its slope? Enter your answer as a fraction in lowest terms. Use a slash mark (/) as the fraction bar
Answer:
1/2
Step-by-step explanation:
Since we have two points, we can use the slope formula
m = (y2-y1)/(x2-x1)
= (22-21)/(6-4)
= 1/2
Answer:
slope , m = 1/2
Step-by-step explanation:
We have two points which are ( 6,22) and (4,21).
To find slope , using slope formula
m = ( y² - y¹ ) / ( x ² - x ¹)
Where,
m, is the slope ( y² - y¹ ) = ( 22- 21 ) ( x ² - x ¹) = ( 6 - 4 )Substitute the values into the formula
m = ( 22 - 21 ) / ( 6 - 4 )
m = 1 / 2
Type the correct answer in the box. Use numerals instead of words. What value of x satisfies this equation? log2 (6x – 8) – log2 8 = 1 The value of x is
Answer:
Espero te sirva
Step-by-step explanation:
Suerte ******'**
You can use two important properties of log to find out the solution of the given equation.
The value of x that satisfies the given equation is 4
What is logarithm and some of its useful properties?When you raise a number with an exponent, there comes a result.
Lets say you get
[tex]a^b = c[/tex]
Then, you can write 'b' in terms of 'a' and 'c' using logarithm as follows
[tex]b= log_a(c)[/tex] , here 'a' is called base of logarithm.
Some properties of logarithm are:
[tex]log_a(b) = log_a(c) \implies b = c\\\\\log_a(b) + log_a(c) = log_a(b \times c)\\\\log_a(b) - log_a(c) = log_a(\frac{b}{c})\\\\log_a(a) = 1[/tex]
(take special attention over that base "a" in all of the above property as you might mix them with other base logarithms which is not allowed)
How to find the solution to the given equation?We can use the fourth, property and then can use third and first property as follows:
[tex]log_2(6x-8) - log_2(8) = 1\\\\log_2(\frac{6x-8}{8}) = log_2(2)\\\\\dfrac{6x-8}{8} = 2\\\\6x-8 = 2 \times 8\\6x-8 = 16\\6x = 16 + 8\\6x = 24\\\\x = \dfrac{24}{6} = 4\\\\x= 4[/tex]
Thus, the value of x for the given condition is obtained as 4.
Learn more about logarithms here:
https://brainly.com/question/20835449
Context: You and your friends go to the state fair. It costs $6 to get into the fair and $2 each time you go on a ride. Where do you see the y-intercept in the table and in the equation?
Answer:
see below
Step-by-step explanation:
The y intercept is when x =0
The equation is y =2x+6
The equation is in the form y = mx+b. It is the constant added to the equation.
In the table it is the y value when x =0
Which graph shows the solution to the system of linear inequalities?
y < 2x - 5
y> -3x + 1
Is it this one?
Step-by-step explanation:
The given system of inequalities are :
y < 2x - 5 ...(1)
y> -3x + 1 ....(2)
For equation (1),
When x = 0, y<-5
For equation (2),
When x = 0, y>1
The attached figure shows the graph of the given inequalities.
PLEASE HELP ME!!! THANK YOU i really need it
The radius of a circle is 6 inches. What is the area of a sector bounded by a 102° arc?
give exact answer in simplest form
explaining your answer = brainliest/ five stars
Answer:
10 1/5 pi
Step-by-step explanation:
First find the area of the circle
A = pi r^2 = pi *6^2 = 36 pi
Then find the fraction of the circle that is shaded
A circle is 360 degrees
102/360 =17/60
Multiply the fraction by the area
17/60 * 36 pi
51/5 pi
10 1/5 pi
Answer:
32.04
Step-by-step explanation:
firstly area of a sector is angle/360 multiplied by pi *r squared
so in this case it is going to be 102/360 *pi *6^2
6 squared is 36 all multiplied by pi and 106/360
it is advisable that you enter them all at once in your calculator
the final answer will be32.0444507
which is rounded to 32.04
Given that
a
= 7 cm and
b
= 8 cm, work out the area of the triangle.
Answer:
28
Step-by-step explanation:
1/2 x base x height = Area
a = base
b = height
1/2 x 7 x 8 = 28
Answer:
28
Step-by-step explanation:
1/2x 7 x 8
answer is 28
Bye
:-)
Explain how to use a graph of the function f(x) to
find f(3).
The number in parentheses (3) is the x value. Look at the graph and what the y value of the line is at x = 3
Simplify the expression
3(5x+8)
Answer:
Solution given:
3(5x+8)
distribute
15x+8*3
15x+24 is a required answer.
Answer:
15x + 24
Step-by-step explanation:
Apply the Distributive Property of Multiplication. Multiply each of the two terms inside parentheses by 3:
3(5x + 8) = 15x + 24
what is the volume of a cylinder in cubic in with a height of 11in and a base diameter of 6in
Answer:
311.01 in^3
Step-by-step explanation:
Volume of cylinder = pi*r^2*h
Volume of cylinder = pi*9*11=311.01 in^3
Find the mode of the data.
The number of awards earned
from each school in the district.
1, 3, 1, 5, 7, 8, 10
Mode: [?]
hande in the aroon hoy
Answer:
1
Step-by-step explanation:
The mode is the number that appears most often
1 appears twice in the data list and that is the mode
Answer:
Mode: 1Step-by-step explanation:
The mode of a data set is the number that occurs most frequently in the set. To easily find the mode, put the numbers in order from least to greatest and count how many times each number occurs. The number that occurs the most is the mode!
Find the missing side
Answer:
12.94811641 =x
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adj/ hyp
cos 44 = x /18
18 cos 44 =x
12.94811641 =x
Answer:
12.9
Step-by-step explanation:
cos(44) = x/18
x = cos(44) * 18
x = 12.9
find value of x for 7(3x+4)+2=156
Answer:
6
Step-by-step explanation:
21x + 28 + 2 = 156
= 21x = 126
= x = 6
Jane and Tannic split the cost of buying a video game. The game costs$25, and the sales is 6% markup. How much do they each pay?
Answer:
$13.25
Step-by-step explanation:
Given data
Cost of game = $25
Markup= 6%
Let us find the total cost of the game
First, the markup cost
=6/100*25
=0.06*25
=$1.5
Now the total cost is
=25+1.5
=$26.5
So, each is expected to pay
=26.5/2
=$13.25
Write the standard equation of a circle with center (1, 3) and radius 2
units.
Step-by-step explanation:
The distance between the point anywhere in the circumference of the circle and the centre of the circle is 2,
[tex] \sqrt{(1 - x {)}^{2} + {(3 - y)}^{2} } = 2 \\ 1 - 2x + {x}^{2} + 9 - 6y + {y}^{2} = 2 \\ [/tex]
Therefore the equation of circle is:
[tex] {x}^{2} + {y}^{2} - 2x - 6y + 8 = 0[/tex]
A is the point with coordinates (x, 2y).
B is the point with coordinates (3x, 4y).
The midpoint of AB has coordinates (-4, 15).
Work out the values of x and y.
Answer:
x= -2 , y=5
Step-by-step explanation:
(x+3x)/2 = -4
4x/2 = -4
4x= -8
x = -2
(2y+4y)/2=15
6y/2=15
6y=30
y=5
Simplify using the distributive property: 5(2x + 7). Show all of your work.
Answer:
10x + 35
Step-by-step explanation:
Given
5(2x + 7) ← multiply each term in the parenthesis by 5
= 5(2x) + 5(7)
= 10x + 35
Answer:
10x+35
Step-by-step explanation:
5×2x=10x
5×7=35
=10x+35
PLZ HELP ITS URGENT
it is blurry so take it again