Answer:
A.
[tex]{ \tt{slope = \frac{ - 4 - 2}{ - 1 - 2} }} \\ \\ = { \tt{ \frac{ - 6}{ - 3} }} \\ = 2[/tex]
EFGH is an isosceles trapezoid and EFGI is a parallelogram. If m∠IEF = 36°, then m∠HGI = ° (Blank 1).
The base angles of an isosceles trapezoid are equal; For EFGI to be a parallelogram, the measure of [tex]\angle HGI[/tex] is: 108 degrees
Given that:
[tex]\angle IEF = 36^o[/tex]
IEF and GHI are the base angles of the trapezoid.
So:
[tex]\angle GHI = \angle IEF = 36^o[/tex]
Also:
[tex]\triangle GHI[/tex] is an isosceles triangle.
This means that:
[tex]\angle GHI = \angle HIG = 36^o[/tex] --- base angles of an isosceles triangle
So:
[tex]\angle GHI + \angle HIG + \angle HGI = 180[/tex] --- sum of angles in a triangle
Substitute known values
[tex]36 + 36+ \angle HGI = 180[/tex]
[tex]72 + \angle HGI = 180[/tex]
Collect like terms
[tex]\angle HGI = 180-72[/tex]
[tex]\angle HGI = 108[/tex]
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write down the relation between the scales of temperature i.e degree Fahrenheit and degree Celsius in form of function and also write it's inverse
Answer:
C=（9F-32）/5
inverse：
Step-by-step explanation:
The extract of a plant native to Taiwan has been tested as a possible treatment for Leukemia. One of the chemical compounds produced from the plant was analyzed for a particular collagen. The collagen amount was found to be normally distributed with a mean of 61 and standard deviation of 9.8 grams per mililiter. a. What is the probability that the amount of collagen is greater than 60 grams per milliliter
Answer:
45.94%
Step-by-step explanation:
Probability-Above 45.94%
Z =0.1
x= 61
µ 60
σ 9.8
Write the following expression
as a
simplified polynomial in standard form.
2(x – 5)^2 + 2(x – 5) + 5
Answer:
2x^2 - 18x + 45
Step-by-step explanation:
Standard form is ax^2 + bx + c
Expand the (x-5)^2 = (x-5)(x-5) --
x^2 - 5x - 5x + 25
x^2 - 10x + 25
So we now have
2(x^2 - 10x + 25) + 2(x-5) + 5
From here, distribute the 2 to each term in x^2 - 10x + 25, and distribute the 2 to each term in x - 5.
2x^2 - 20x + 50 + 2x - 10 + 5
Combine like terms
2x^2 - 20x + 2x + 50 - 10 + 5
2x^2 - 18x + 40 + 5
2x^2 - 18x + 45
PLS HELP Leo is looking at two different savings plans. The first plan requires an initial deposit of $500 and grows at an annual interest rate of 2.5%. The second plan requires an initial deposit of $400 and interest grows continuously at a rate of 2% per year. Leo wrote a system of equations to represent the account balance of either plan, y, after x years. Which two equations are part of the system?
OPTIONS ARE BELOW
Answer:
First and Second option choices
Step-by-step Explanation:
1st case:
Initial deposit (P) = 500
Annual interest rate (r) = 2.5%
Account balance after x years, y = P(1+r/100)×
y = 500(1+2.5/100)×
y = 500(1+0.025)×
y = 500(1.025)×
2nd case:
Initial deposit (P) = 400
Annual interest rate (r) = 2%
Account balance after x years, y = P(1+r/100)×
y = 400(1+2/100)×
y = 400(1+0.02)×
y = 400(1.02)×
The correct option is (A) and (B)
What are Equations?Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S (left hand side = right hand side).
Parts of an EquationThere are different parts of an equation which include coefficients, variables, operators, constants, terms, expressions, and an equal to sign. When we write an equation, it is mandatory to have an "=" sign, and terms on both sides. Both sides should be equal to each other. An equation doesn't need to have multiple terms on either of the sides, having variables, and operators. An equation can be formed without these as well, for example, 5 + 10 = 15. This is an arithmetic equation with no variables. As opposed to this, an equation with variables is an algebraic equation. Look at the image below to understand the parts of an equation.
Initial deposit (P) = 500
Annual interest rate (r) = 2.5%
Account balance after x years, y = P(1+r/100)^×
y = 500(1+2.5/100^)×
y = 500(1+0.025)^×
y = 500(1.025)^×
again,
Initial deposit (P) = 400
Annual interest rate (r) = 2%
Account balance after x years, y = P(1+r/100)×
y = 400(1+2/100)^×
y = 400(1+0.02)^×
y = 400(1.02)^×
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Find the value of b.
A. 57
B. 123
C. 50
D. 61.5
Answer:
please i need educere answers
Step-by-step explanation:
i have one day left and i cannot finish please reply with any way to contact you
5. The average weight of a blue whale is 4 x 105 pounds. The average weight of an elephant is 1 x 10 pounds. How many more times heavier is a blue whale than an elephant in pounds?
Answer:
42 more times
Step-by-step explanation:
1) 4×105=420 (pounds)-blue whale
2) 1×10=10 (pounds)- elephant
3) 420:10=42
The amount of times that the blue whale is more heavier than the elephant in pounds is; 40 times heavier.
We are given;Average weight of blue whale; W_w = 4 × 10^(5) pounds
Average weight of elephant; w_e = 1 × 10⁴ pounds
Now, we want to find how much more heavier the blue whale is than the elephant. Thus we will just divide W_w by W_e to get;W_w/W_e = (4 × 10^(5))/(1 × 10⁴)
According to laws of exponents;
a¹²/a³ = a¹² ¯ ³ = a^(9)
Applying that to our question gives;
4(10^(5 - 4)) = 4 × 10 = 40
Read more about exponents at; https://brainly.com/question/18248071
solve for x the triangles are the same
Answer: x=8
Step-by-step explanation:
So to begin with we need to find the connection being that they are the same triangle but with a dilation. We need to find the dilation by matching the new angles with each other H=E F=C and D=G. We need to find the relation ship between CD and FG. 65 divided by 24= 2.6 take ED and multiply 2.6 to find HG. HG= 91. Now we need to find x. 8 times x+ 3=91. Find the closest eight multiple to 91 which is 8 times 8= 88 and add 3 to see it makes 91.
8 is your answer.
Find the HCF of: 5a²b² and 9x³y³
Answer:
1
Step-by-step explanation:
To do this, we can first look at each factor of each number.
For 5a²b², we can split this up into three parts: 5, a², and b². The factors of 5 are 1 and 5, the factors of a² are 1, a, and a² (because a*a = a² and a²*1 = a²), and the factors of b² are 1, b, and b²
For 9x³y³, the factors for 9 are 1, 3, and 9, the factors of x³ are 1, x, x², and x³ (because x * x² = x³ and x³ * 1 = x³), and the factors of y³ are 1, y, y², and y³.
The only number that is a factor of at least 1 item in each number is 1. Therefore, 1 is the HCF
Another way of looking at this is seeing that a, b, x, and y are all different variables with nothing to connect them, so as a result, they will have no common factors except for 1
Find the surface area of the cylinder in terms of T. 9 cm 19 cm Not drawn to scale O 211.5 cm 2 0 382.57 cm 2. O 333 77 cm2 o 504 лcm
Answer:
hey the answer is cylinder= 211.5л!
1. Simplifying Equation Below
please help!!
Answer: 0
Step-by-step explanation:
In this equation 0/y would equal 0, no matter what y is. 0/y means that there's 0 items out of y items (ex: substitute y with 2, it would be 0/2). Beginning with 1*0 (one times zero) the answer there would be 0. Since we already know that 0/y equals 0, the rest of the equation would be 0 - 0 which would equal to 0. Hope this explanation helps :)
[tex]\\ \sf\longmapsto 0-\dfrac{0}{y}[/tex]
[tex]\\ \sf\longmapsto \dfrac{0-0}{y}[/tex]
[tex]\\ \sf\longmapsto \dfrac{0}{y}[/tex]
[tex]\\ \sf\longmapsto \infty[/tex]
[tex]\\ \sf\longmapsto 0[/tex]
The altitude a (in feet) of a plane t minutes after liftoff is given by a = 3400t + 600. How many minutes after liftoff is the plane at an altitude of 21,000 feet
Answer:
6
Step-by-step explanation:
Altitude = 3400t +600
21,000 = 3400t +600
21000-600= 3400t
20400/3400 = 3400t/3400
t= 6
Answered by Gauthmath
The triangle below is isosceles. Find the length of side x in simplest radical form with
a rational denominator.
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V10
Answer: 2=
=
Submit Answer
Answer:
x=2*sqrt(5)
Step-by-step explanation:
Since the triangle is isosceles, the other side of the triangle is sqrt(10) too. By using Pythagoras theorem, we have 10+10=x^2, x=2*sqrt(5).
ASAP 10 POINTS
Using the same application you used in Part F, reflect the line segment across the x-axis. Then, rotate it 90° clockwise. Finally, translate it down to 2 units. What is the relationship between the original line segment and the transformed line segment? If you transform a line segment with a sequence of reflections, rotations, or translations, is it still a line segment?
It is found that the relationship between the original line segment and the transformed line segment is rotation because when you flip everything around its called rotation.
How does rotation by 90 degrees changes coordinates of a point if rotation is with respect to origin?Let the point be having coordinates (x,y).
If the point is in first quadrant:
Subcase: Clockwise rotation:
Then (x,y) → (y, -x)
Subcase: Counterclockwise rotation:
Then (x,y) → (-y, x)
It is given that in Part F, reflect the line segment across the x-axis. Then, rotate it 90° clockwise.
Also No effect as we assumed rotation is being with respect to origin.
Finally, translate it down to 2 units.
Therefore, It is found that the relationship between the original line segment and the transformed line segment is rotation because when you flip everything around its called rotation.
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Is {3,…} a defined set
Answer:
No it is not a collection of well defined and distinct objects
Hope this helps <3
What is the product of the fractions below?
Answer:
B
Step-by-step explanation:
6/11 * 7/3 = 6*7/11*3 = 42/33
We can simplify this by dividing both by 3.
42/3 = 14
33/3 = 11
So we get 14/11
please help me!!
how many times does 10% go into 34,950,101?
Answer:
10
Step-by-step explanation:
If you multiply 10% of 34,950,101 by 10, you will get the value of 34,950,101.
16 + 28 = ___ ´ (4 + 7).
Answer:
Solution given:
16+28=44
(4+7)=11
Answer:
The solution is 4
Step-by-step explanation:
Step 1: Find the correct answer
I'm not really sure what you are asking but I will give it a shot.
16 + 28 = ___ (4 + 7)
44 = ___ (11)
44 / 11 = ___ (11) / 11
4 = ___
Answer: The solution is 4
(15×4)6÷6[{32÷4(7x2-15+5)}+3]
(15×4)6÷6[{32÷4(7x2-15+5)}+3]
= -2
[ use BODMAS rule]
Which equation represents a proportional relationship between
x and y?
A: k/x = y
B: k - x = y
C: k + x = y
D: k * x = y
Answer:
D: k*x=y
Step-by-step explanation:
a proportional relationship is basically a linear equation (y=mx+b)
In figura de mai jos, coardele AB si CD sunt perpendiculare şi congruente. Punctele E,O,F sunt coliniare. Calculați masura unghiului AEF.
Answer:
please translate to English for fast response
Answer:
∡AEF=45°
Step-by-step explanation:
AB=CD ⇒
arcele AB=AC (la coarde egale corespund arce egale)⇒
arc(AB)+arc(BC) = arc(BC)+arc(BD) (descompunerea arcelor AB si AC)⇒
arc(AC)=arc(BD) ⇒
∡BAD≡∡CDA (la arce egale avem unghiuri cu varful pe cerc egale) ⇒
ΔEAD e isoscel (unghiurile de la baza AD sunt congruente) ⇒
[EA]≡[ED], dar si [OA]≡[OD] (OA si OD raze ale cercului)⇒
EO e mediatoarea [AD] (E si O formeaza dreapta EO), dar ΔEAD e isoscel⇒
[EO este si bisectoarea ∡AED (intr-un triunghi isoscel mediatoarea bazei se suprapune cu bisectoarea unghiului opus bazei), dar ∡AED=90° ⇒
∡AEF=45°
100 divided by 3.2 Thank u
Answer:
31.25
Step-by-step explanation:
125/4
= 31.25
help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
x=3
Step-by-step explanation:
I suggest getting this app called photo math, it will help you soo much.
Answer:
x = 3
Step-by-step explanation:
4 (x - 1 ) + 4x -1 = 19
solve the brackets first
4x - 4 + 4x -1 = 19
4x + 4x -4 -1 = 19
8x -5 = 19
8x = 19+5
8x = 24
x = 24/8
x = 3
What is the equation of the line?
HURRY PLEASEEEEE!!!!!!
Juan scored 24 points in the first half of the basketball game, and he scored p points in the second half of the game. Write this in variable/constant form.
Answer:
24+p=t
Step-by-step explanation:
If he scored 24 points in the first half, and p in the next half, he scored a total of t points.
What is the equation of the graph?
Answer:
[tex]y=2x^2+1[/tex]
Step-by-step explanation:
The general equation for a parabola in vertex form is the following:
[tex]y=a(x-h)^2+k[/tex]
Where ([tex]h,k[/tex]) is the parabola's vertex and (a) is the stretch and compression factor. As one can see in the given graph, the parabola has a vertex at (0, 1), moreover, it passes through the point (1, 3). Substitute these points into the equation for the parabole, and simplify,
[tex]y=a(x-h)^2+k[/tex]
Vertex: (0, 1)
[tex]y=a(x-0)^2+1[/tex]
A point on the parabola: (1, 3)
[tex]3=a(1-0)^2+1[/tex]
[tex]3=a1+1\\3 = a + 1\\[/tex]
Inverse operations,
[tex]3=a+1[/tex]
[tex]2 = a[/tex]
Substitute back into the original expression:
[tex]y=a(x-h)^2+k[/tex]
[tex]y=2(x-0)^2+1[/tex]
Simplify to put in standard form:
[tex]y=2(x-0)^2+1[/tex]
[tex]y=2(x)^2+1[/tex]
[tex]y=2x^2+1[/tex]
Which function best fits the following points?
A. y= -12.84032 + 0.0225x
B. y = 65.0778 × 772.9605^x
C. y = -197.0571x^2 + 245.6243x + 6.0321
D. None of the above
Given:
The graph of a scatter plot.
To find:
The function that best fits the given points.
Solution:
From the given graph it is clear that the linear function is the best fit for the given points because the points lie on a straight line or near to it.
So, options B and C are incorrect because they represent exponential and quadratic function respectively.
Let as assume the two points on the graph are (0.80,-12.82) and (2,-12.79).
Using this two points, the equation of line is:
[tex]y-(-12.82)=\dfrac{-12.79-(-12.82)}{2-0.80}(x-0.80)[/tex]
[tex]y+12.82=\dfrac{-12.79+12.82}{2-0.80}(x-0.80)[/tex]
[tex]y+12.82=0.025(x-0.80)[/tex]
[tex]y+12.82=0.025x-0.02[/tex]
[tex]y=0.025x-0.02-12.82[/tex]
[tex]y=0.025x-12.84[/tex]
[tex]y=-12.84+0.025x[/tex]
It is the approximate function to the function that is in option A.
Therefore, the correct option is A.
I need help ASAP!! Please help me
Answer:
Step-by-step explanation:
Answer:
angle 1 = 80
angle 2 = 80
Step-by-step explanation:
in rhombus all sides are equal and also diagonals bisects each other
so
I need help ASAP!!! Please explain how to solve the problem I am stuck with.
Answer:
Step-by-step explanation:
An equation is shown below: 6(2x – 11) + 15 = 3x + 12 Part A: Write the steps you will use to solve the equation, and explain each step. (6 points) Part B: What value of x makes the equation true? (4 points)
Answer: x = 7
Step-by-step explanation:
6(2x-11)+15=3x+12
1) Distribute 6 (distributive-property)
12x - 66 + 15 = 3x + 12
12x - 51 = 3x + 12
Subtract 12 from both sides; what ever you do to one side, you need to do to ther other.
12x - 63 = 3x
Subtract 3x from both sides.
9x - 63 = 0
Add 63 to both sides.
9x = 63
Divide by 9 to getx by itself.
63/9 = 7
x = 7
