Answer:
x=14
Step-by-step explanation: Multiply all terms by the same value to remove denominators from fractions,Cancel the multiplied terms that are in the denominator, Multiplica los números
Which expression is the factorization of x2 10x 21?
The factorization of the given expression [tex]\rm x^2+10x+21[/tex] is (x+3)(x+7) the option first is correct.
It is given that the expression [tex]\rm x^2+10x+21[/tex]
It is required to find which expression is the factorization of the given expression, the options are:
a) (x + 3)(x + 7)
b) (x + 4)(x + 6)
c) (x + 6)(x + 15)
d) (x + 7)(x + 14)
What is polynomial?Polynomial is the combination of variables and constants in a systematic manner with "n" number of power in ascending or descending order.
We have an expression:
[tex]\rm x^2+10x+21[/tex]
[tex]\rm x^2+7x+3x+21[/tex]
Breaking 10x into 7x and 3x because the multiplication of 7x and 3x is [tex]\rm 21x^2[/tex] and the addition is 10x.
[tex]\rm x^2+7x+3x+21\\\\\rm x(x+7)+3(x+7)\\\\\rm (x+7)(x+3)[/tex]or
[tex]\rm (x+3)(x+7)[/tex]
Thus, the factorization of the given expression [tex]\rm x^2+10x+21[/tex] is (x+3)(x+7) the option first is correct.
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What is the slope of a line parallel to the line whose equation is 3x + 3y = -36.
Fully simplify your answer.
Answer:
-1
Step-by-step explanat
yes
Let x be a random variable with uniform distribution on (100,200). Find the probability that x assumes a value
The probability that x assumes a value less than three standard deviations from the mean is 1.
What is uniform distribution?The continuous uniform distribution, sometimes known as the rectangle distribution, is a family of symmetric probability distributions in probability theory and statistics.
We have:
x be a random variable with uniform distribution on (100,200).
It is required to find the probability that x assumes a value less than three standard deviations from the mean.
From the empirical rule, the data falls within three standard deviations of the mean in 99.7% of cases.
99.7% data from the (100, 200) is up to 199.7
Total number of favourable outcomes = 99.7
The probability that x assumes a value less than three standard deviations from the mean:
= 99.7/(200-100)
= 0.997 ≈ 1
Thus, the probability that x assumes a value less than three standard deviations from the mean is 1.
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PLEASE HELP 100 POINTS!!!
Identify the vertex of the function graphed below. A. (1,1) B. (2,2) C. (3,1) D. (0,-2)
Answer:
See below.
Step-by-step explanation:
The vertex is the point where it stops the arch. In this case, the answer would be (2,2).
-hope it helps
Answer:
B: (2, 2)
Step-by-step explanation:
it's the point where the parabola changes directions
What is the equation of a line that is perpendicular to y = x + 4 and passes through (–2,8)?
Answer:
y= -x+6
Step-by-step explanation:
G1xG2= -1
G2= -1
-1 = (y-8)
-------
(x+2)
-1 (x+2)=y-8
-x-2=y-8
-y=x+2-8
y= -x+6
PLEASE HURRY
Solve the inequality and express your answer in interval notation.
x2 + 8x-7<0
The path from the whales to the sharks is parallel to the path from the penguins to the stingrays. What is the distance between the penguins and the stingrays? StartFraction 81 Over 7 EndFraction feet 28 feet 45 feet 63 feet.
The distance between the penguins and the stingrays which is parallel to the path from the whales to the sharks is 28 ft.
What is proportional segment between parallel lines?In two triangle in which the one side of the first triangle is parallel to the one side of the other triangle, two similar triangle formed.
Due to this similar triangle the segment formed by the parallel line are proportional segment.
The path from the whales to the sharks is parallel to the path from the penguins to the stingrays.
The map of the zoo is attached below.
The distance from whale to shark is 18 ft, and this side is parallel to the path from the penguins to the stingrays. Suppose the distance between the penguins and the stingrays is x meters.
Thus, in the given triangle, the ratio of these two sides will be equal to the ratio of their corresponding sides. Hence,
[tex]\dfrac{x}{18}=\dfrac{42}{27}\\x=\dfrac{42}{27}\times18\\x=28\rm\; ft[/tex]
Thus, the distance between the penguins and the stingrays which is parallel to the path from the whales to the sharks is 28 ft.
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Answer:
28
Step-by-step explanation:
Did on edge 2022
The value of a vase n years after it was
made is given by this formula:
value in pounds (£) = 500 x 1.28"
=
a) What was the original value of the
vase?
b) By what percentage does the value of
the vase increase each year?
The answers are
a)640-500
b) + 28%
Between 11 P.M. and 8:45 A.M., the water level in a swimming pool decreased by 3/8
. Assuming that the water level decreased at a constant rate, how much did the water level drop each hour?
Two of which shape can make a circle
Answer:
2 semi circles put together
Step-by-step explanation:
just cut the circle in half
when filing taxes what do you need to know
Answer:
You must know all forms of additional payment and expenses, like medical bills and community expenses that can happen at any given time.
~Hope it helps~
~Be great~
If a person who is 5.5 feet tall throws a baseball into the air, the path can be modeled using the table of values, where x represents the time in seconds and y is the height of the ball in feet.
(table is in the photo below)
Which quadratic equation models the data in the table?
y= −0.25x2 + 2x + 5.5
y= −0.35x2 + 2x + 5.5
y= −0.27x2 + 3x + 5.5
y= −0.15x2 + 2x + 5.5
Answer:
The answer is D : y= −0.15x^2 + 2x + 5.5
Step-by-step explanation:
i got it right on my test
The quadratic equation represented by the table is y = -0.15x² + 2x + 5.5
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Quadratic function is in the form y = ax² + bx + c; where a, b and c are constants.
From the table, at point (0, 5.5):
5.5 = a(0)² + b(0) + c (1)
From the table, at point (1, 7.35):
7.35 = a(1)² + b(1) + c (2)
From the table, at point (2, 8.9):
8.9 = a(2)² + b(2) + c (3)
From 1, 2 and 3:
a= -0.15, b = 2, c = 5.5
The quadratic equation represented by the table is y = -0.15x² + 2x + 5.5
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Is my answer correct?
Answer:
No, x = 3 inStep-by-step explanation:
The area of the rhombus is half the product of its diagonals
A = 1/2(2x*16) = 4816x = 48x = 48/16x = 3[tex]area \: of \: rectangle \\= 4 \times area \: of \:identical \: triangle[/tex]
Explanation :-[tex]area \: of \: rectangle =\\ 4 \times area \: of \:identical \: triangle[/tex]
[tex]48 {in}^{2} = 4 \times \frac{1}{2} \times base \times height \\ 48 {in}^{2} = 2 \times base \times height \\ \frac{48}{2} = 8 \times height \\ \frac{ \cancel{48} {}^{ \: \: 24} }{ \cancel{2}} = 8 \times height \\ \frac{24}{8} = height \\ \frac{ \cancel{24} {}^{ \: \: 3} }{ \cancel{8}} = height \: \\ height = x = 3in \: [/tex]
A train track through a mountain is 1600 feet long and makes an angle of 1.6 with the horizontal. What is the change in elevation from one end of the tunnel to the other.
Step-by-step explanation:
law of sine :
a/sinA = b/sinB = c/sinC
with the sides and correlating angles being always opposite to each other.
we are dealing with a right-angled triangle here.
the train track is the Hypotenuse (the side opposite of the 90° angle) : 1600 ft.
the horizontal level "connection" from beginning to the end of the track is one leg, and the elevation difference at the end of the track is the second leg.
the 2 legs enclose a 90° angle, as the elevation goes straight up from the horizontal level.
so, we have
1600/sin(90) = elevation difference / sin(1.6)
sin(90) = 1
1600 = elevation difference / sin(1.6)
elevation difference = 1600 × sin(1.6) =
= 1600 × 0.027921639... =
= 44.67462196... ft
≈ 44.7 ft
QUESTION 1 1.1 Consider the quadratic sequence : 8; 18; 30; 44 ... 1.1.1 Write down the next two terms of the sequence. 1.1.2 Calculate the nih term of the sequence. 1.1.3 Which term of the sequence is equal to 330?
Answer:
Below in bold.
Step-by-step explanation:
8 18 30 44
the differences are 10 12 14 .etc
1.1.1 Next 2 terms are 44+ 16 = 60 and 60+ 18= 78.
1.1.2 8 = 1^2 + 7
18 = 2^2 + 14
30 = 3^2 + 21
44 = 4^2 + 38
So the nth term = n^2 + 7n.
1.1.3 n^2 + 7n = 330
n^2 + 7n - 330 = 0
(n + 22)(n - 15) = 0
n = -22, 15
As the term sequence must be positive the answer is 15.
The diameter of a circle is 36 millimeters. What is the circle's area? Use 3.14 for .
Answer:1017.36[tex]ml^{2}[/tex]
Step-by-step explanation:
Diameter= 36ml
radius=diameter/2
R=36 ÷2
R=18ml
Area=π[tex]r^{2}[/tex]
Area=3.14 x [tex]18^{2}[/tex]
Area=1017.36[tex]ml^{2}[/tex]
Answer:
Step-by-step explanation:
Walmart has jeans on sale for $42.89 the regular price is $59.99 what’s the savings before tax
59.99 - 59.99 x saving rate = 42.89
with saving rate = r%
59.99 - 59.99 x r% = 42.89
so 59,99 ( 1 - r%) = 42.89
1 - r% = 42.89 : 59.99
1 - r% = 0,7150
r% = 1 - 0,7150
r = 28,5%
A map is placed on a coordinate grid. On the map, city 1 is located at the
point (35, 78), and city 2 is located at the point (47, 122). What are the
coordinates of a city located halfway between city 1 and city 2?
Answer:
its b trust me i had that one (12,44)
Step-by-step explanation:
Help I’ll give brainlessly find tqs
Your answer for TQS is 43.
89 - 46 = 43
Can someone do this for me
Answer:
A - 10 feet
D - 5 seconds
Step-by-step explanation:
Insert 12 for r the radius and 1500 for V the volume.
12 = [tex]\sqrt{}\frac{3(1500)}{\pi h}[/tex]
Square both sides
144 = [tex]\frac{4500}{\pi h}[/tex]
Solve 144 = [tex]\frac{4500}{\pi h}[/tex]: h = [tex]\frac{125}{4\pi }[/tex]
h = [tex]\frac{125}{4\pi }[/tex] or 9.9 rounded to the nearest foot,
h = 10
t = [tex]\sqrt\frac{2(200)}{16}[/tex]
t = [tex]\sqrt\frac{400}{16} = 25[/tex]
t = [tex]\sqrt{5^{2} }[/tex]
t = 5
The perimeter of the shape below is 24. One side is 5 in. What is the missing side?
Answer:
14
Step-by-step explanation:
5+5=10 and 7+7=14 and 14+10=24
i need help with this
Answer:
Answer: (b) 5.
Step-by-step explanation:
Simple and best practice solution for (c-5)d=2 equation. ... If it's not what You are looking for type in the equation solver your own equation and let us solve it. ... 2 + 5d cd = 2 + 5d Divide each side by 'd'. c = 2d-1 + 5 Simplifying c = 2d-1 + 5 Reorder ... 11/4-t8 | | (3x^2+5x+2)+(4x^2+3x+2)= | | 4Y+7-Y=4+2Y-8 | | 10x+190=360 ...
For example, let's say with have the equation x+5 ... If we evaluate the same expression when x=10, we get 3(10)+7=30+7=37. Here's a variable expression with two variables: 3x−2y ... How do you express the phrase "a number z divided by 19" as an algebraic expression? ... How do you simplify 11c+5d−9c−9d?Let the number of cows be x and their legs be 4x. ... or, x = 7 [dividing by 2 on both sides]. ... The roots of the equation ax2 + bx + c = 0 will be reciprocal if: ... A circle of radius 10 inches has its center at the vertex C of an equilateral triangle ABC ... (a) 15, (b) 30, (c) 60, (d) 90, (e) 120. Circle Problem Answers. Answer: (b) 5.
Find the height of the building to the nearest foot in the diagram below. Show work.
Answer:
height : 150 feet
Step-by-step explanation:
[tex]\sf \sf tan(x)= \dfrac{opposite}{adjacent}[/tex]
using tan rule:
[tex]\hookrightarrow \sf tan(62)= \dfrac{b}{80}[/tex]
[tex]\hookrightarrow \sf b = tan(62)*80[/tex]
[tex]\hookrightarrow \sf b =150.46 \ feet[/tex]
Answer:
[tex]\approx 150 \: ft[/tex]
Step-by-step explanation:
recall sohcahtoa
sin(x)=opposite/hypotenusecos(x)=adjacent/hypotenusetan(x)=opposite/adjacenthere,
The adjacent side is 80 ftx°=62°The opposite side is the heightTo find:
The opposite side or the heightsince we are given the value of adjacent side and need to figure out the opposite side , we will work with tan function,
So,
[tex] \tan( {62}^{ \circ} ) = \dfrac{h}{80} [/tex]
[tex] \implies \: h = 80\tan( {62}^{ \circ} ) [/tex]
using calculator,we acquire
[tex] \implies \: h \approx 150 \: ft[/tex]
hence, the height of the building is approximately 150ft
Maya bought 20 ounces of nuts at the store. How much is this in pounds? Write your answer as a whole number or a mixed number in simplest form. Include the correct unit in your answer.
Answer:
1.25 pounds
Step-by-step explanation:
20 divided by 16 because 16 ounces are in a pound
Help if you understand thanks
Step-by-step explanation:
Table A represents an arithmetic sequence with a common difference d=+7.5
so for x=4, it's y³+7.5=25+7.5=32.5
for x=5, it's y⁴+7.5=32.5+7.5=40
Table B represents a geometric sequence with a common ratio r=4, so you're essentially multiplying by 4.
for x=4, y⁴=y³×4=160×4=640
for x=5, y⁵=y⁴×4=640×4=2560
A rectangular prism has a base area of 23 cm² and a height of 6 centimeters. What is the volume of the prism?
Enter your answer in the box.
cm³
+ Brainliest
A rectangular prism with a height of 6 centimeters would have a volume of 138 cubic centimeters.
Given the following data:
Base area = 23 [tex]cm^2[/tex]
Height = 6 centimeters.
The volume of a rectangular prism.Mathematically, the volume of a rectangular prism is given by this formula:
[tex]V = B \times H[/tex]
Where:
H is the height.B is the base area.Substituting the given parameters into the formula, we have;
[tex]V = 23 \times 6[/tex]
V = 138 cubic centimeters.
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6. On Marika's 8th birthday, in 2004, her father said, "My age is now four times your age."
In what year will Marika's father be able to say, "My age is now three times your age," on
Marika's birthday?
Answer:
2008
Step-by-step explanation:
when she is 12 (4 years after 2004) her dad will be 36, which is 3 x 12, therefore, in 2008 he will be able to say this.
Answer:
2008
Step-by-step explanation:
The difference in their ages is ...
4m -m = 3m = 3(8) = 24 . . . years (Marika was 8 in 2004)
__
Marika's age when the father was 3 times her age was ...
3m -m = 2m = 24 . . . years
m = 12 . . . . . Marika was 12 when her father was 3 times her age
That is 12 -8 = 4 years from 2004, so it will be true in 2008.
What is the measure of ∠H?
1. 115
2. 65
3. 50
4. 25
Answer:
2
Step-by-step explanation:
Since FG is congruent to FH, angles FGH and FHG are congruent since angles opposite congruent sides in a triangle are congruent.
Find the area of a circle whose radius is 3 1/2(three whole number one over two)
Answer:
38.5 in²
Step-by-step explanation:
Area of circle= πr², where r is the radius
Substitute the value of the radius into the formula above:
Area of circle
= π(3.5)²
= 12.25π
= 38.5 in² (3 s.f.)
The amount of money you have after investing $400 for 8 years and $600 for 6 years at the same interest rate is represented by 400x^6 + 600x^6. where x is the growth factor. classify the polynomial by the number of terms. what is the degree?
The polynomial 400x⁶ + 600x⁶ has a degree of 6 and is a binomial.
What is a polynomial?Polynomial is an expression that involves only the operations of addition, subtraction, multiplication of variables.
Polynomials are classified based on degree as linear, cubic, quadratic, etc.
A polynomial with two terms is known as a binomial. Hence:
The polynomial 400x⁶ + 600x⁶ has a degree of 6 and is a binomial.
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