What is the value of y in the equation 5y - 3y + 1 = -4y + 13?
Answer:
y = 2
Step-by-step explanation:
5y - 3y + 1 = -4y + 13
We only have addition and subtraction so move the terms on the other side of the equal sign with changed sign. +1 will be -1 and -4y will be +4y
terms with y = terms without y
5y -3y +4y = 13 -1
6y = 12
y = 12/6
y = 2
Please help me with this please and thank you
Answer:
f(x) = 2(1/3)^x
Step-by-step explanation:
To find the parameters of this exponential equation, follow the instructions given in the hint.
__
b = 6/18 = 1/3 . . . . . divide 6 by 18 to find 'b'
18 = a(1/3)^-2 . . . . . substitute a point and 'b' in the equation
18(1/3)^2 = a = 2 . . . . multiply by (1/3)^2
The equation is ...
f(x) = ab^x
f(x) = 2(1/3)^x
convert the angle 3pi/5 radians to degrees
well, we know that π is 180°, so then what is 3π/5?
[tex]\begin{array}{ccll} radians°rees\\ \cline{1-2} \pi &180\\ \frac{3\pi }{5}&x \end{array}\implies \cfrac{\pi }{~~ \frac{3\pi }{5}~~}~~ = ~~\cfrac{180}{x}\implies \cfrac{5\pi }{3\pi }=\cfrac{180}{x} \\\\\\ \cfrac{5}{3}=\cfrac{180}{x}\implies 5x=540\implies x=\cfrac{540}{5}\implies x=108[/tex]
A scale model of a large, three-dimensional “real world” object uses a scale of 0.5 in. = 50 ft.
Fred was only able to measure the model using metric units. He measured the length of the model as 372.5 mm.
Fred knows that 1 inch = 2.54 cm and that 1 cm = 10 mm.
What is the approximate length of the actual “real world” object?
A.
244.3 ft
B.
122.2 ft
C.
2,932 ft
D.
1,467 ft
The approximate length of the actual object is 1465 ft, which is closest to option D.
What is a scale factor?The ratio of the scale of an original thing to a new object that is a representation of it but of a different size is known as a scale factor (bigger or smaller).
First, let's convert the length of the model from millimeters to inches:
372.5 mm = 372.5/10 cm = 37.25/2.54 in ≈ 14.65 in
Next, we can use the scale of the model to find the length of the actual object in feet:
0.5 in. = 50 ft.
So, 1 in. = 100 ft.
Therefore, the length of the actual object in feet is:
14.65 in x (100 ft/in) = 1465 ft
Therefore, the closest length is 1467 feet.
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please answer i will give you
Answer: C) [tex]f^{-1}(x)=3-7x[/tex]
Step-by-step explanation:
When solving for an inverse of a function replace f(x) with x and replace the original x with y.
[tex]f(x) = \frac{3-x}{7} \\x=\frac{3-y}{7}[/tex]
Now solve for y
[tex]x=\frac{3-y}{7} \\(7)x=(\frac{3-y}{7}) (7)\\7x=3-y\\7x+y=3-y+y\\7x+y=3\\7x-7x+y=3-7x\\y=3-7x[/tex]
Replace y with the [tex]f^{-1}(x)[/tex]
Find the ratios and reduce them in their lowest terms .
8cm and 8mm
Answer:
Hope the picture will help you
one side of a triangle is 8 inches long and another side is 4 inches long. The third side is opposite an obtuse angke. What is a possible length of the third side? Explain
Answer:
it should be over 8 inches long
Step-by-step explanation:
by the instructions
a side of a triangle is 8 inches and other one is 4 inches
and the OPPOSITE of OBTUSE angle is the 3 Rd one
As the Third side which connect the 1st and 2nd side ( of the obtuse angle) it should be over 8 inches.
A gardener uses a triangular prism clay pot to plant flowers. The triangular base is 3 units along the base and 5 units high. The pot has a height of 16 units high. What is the volume of the pot.
the volume of the pot.
solution:bolume of a triangular prism= BH
area of a triangle= 1 / 2 × base × height
B = 1 / 2 × b × h
b = 3 units
h = 5 units
B = 1 / 2 × 3 × 5
B = 15 / 2
B = 7.5 units²
H = 26 units
B = 7.5 units²
V = 7.5 × 26
V= 195 unit³
so, the volume of the pot is 195 unit³.
If the half-life of carbon-14 is 5730 years, how old is a mummy having only 30% of the normal amount of carbon-14?
Answer:
17190 years.
Step-by-step explanation:
The half-life of carbon-14 is
5730 years.
Therefore, after1 half-life there is 50%=12 of the original amount left.2half-lives there is 25%=14of the original amount left.3 half-lives there is 12.5%=18 of the original amount left.
1−78=18
So, your answer would be the time it takes for carbon-14 to elapse 3 half-lives.
5730⋅3=17190
Hey, can someone help me out with this? I don't understand how to solve it.
Answer:
261.05
Step-by-step explanation:
A=½ bh
The base is 22.7
The height is 23
22.7×23=522.1
Since the shape is a triangle we divide it by 2!!
522.1÷2=261.05
The perimeter of the figure is 261.05. Hope you understand how to solve it now :))
a group of five friends goes to the state fair. each friend pays the entrance fee and buys one booklet of ride tickets and a meal ticket. the entrance fee is d dollars. a booklet of ride tickets cost 2.5 times the entrance fee. a meal ticket costs $4 less than the entrance fee. the expression 5d + 5(2.5d) + 5(d-4) represents the amount the friends pay all together in dollars. which part of the expression represents the total amount the friends pay for meal tickets?
a. d-4
b. 5(2.5d)
c. 2.5d
d. 5(d-4)
Answer:
d. 5(d - 4)
Step-by-step explanation:
the entrance fee is d dollars
a booklet of ride tickets cost 2.5 times the entrance fee = 2.5d
a meal ticket costs $4 less than the entrance fee = d - 4
One meal ticket costs d - 4.
Five meal tickets cost 5(d - 4).
Answer: d. 5(d - 4)
f(x)= -2x^2
what is the vertex of this and/or how do you find the vertex??
Answer:
(0,0)
Step-by-step explanation:
x value of vertex = -b/2a
ax^2+bx+c
-2x^2+0x+0 sinc you have no value of b & c in your quadratic function
-b = 0
2a = (2)(-2)
-b/2a = (0/-4) = 0
x value of the vertex = 0
plug 0 in for all values of x in the function to find y coordinate value
-2(0)^2 = 0
(x,y) = (0,0)
Part A
The graph of polygon FGHI has coordinates F(2. – 1), G(5,2), H(8, 3), and I(6, 0). Graph the image of FGHI
after a reflection across the line y = -1.
Part A
Graph the line of reflection
Part B
Graph FGHI and its reflection across the line y = -1
Reflecting the polygon FGHI across the line involves flipping the line across the line y = -1
How to reflect the polygon?The coordinates are given as:
F(2, – 1), G(5,2), H(8, 3), and I(6, 0)
The line of reflection is given as:
y = -1
To reflect the line, we apply the following rule of reflection
(x,y) [tex]\to[/tex] (x,-y-2)
So, we have the following coordinates of the image
F' = (2, – 1)
G' = (5,-4)
H' = (8, -5)
I' = (6, -2)
See attachment for the image of the reflected polygon
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The area of parallelogram is 104 square units and base length is 13. What is the height of the parallelogram?
Answer :
8 units⠀
Step-by-step explanation :
⠀
Here,
Area of the parallelogram is 104 sq. unitsBase length of the parallelogram is 13 units.⠀
We know that,
[tex]{\longrightarrow \qquad{ \mathfrak{ \pmb{Base \times Height = Area_{(Parallelogram)}}}}}[/tex]
⠀
Now, Substituting the values in the formula :
⠀
[tex]{\longrightarrow \qquad{ \sf{ {13 \times Height = 104}}}}[/tex]
⠀
[tex]{\longrightarrow \qquad{ \sf{ {Height = \dfrac{104}{13} }}}}
[/tex]
⠀
[tex]{\longrightarrow \qquad{ \pmb { \frak{Height \: \: {= 8}}}}}[/tex]
⠀
Therefore,
The Height of the parallelogram is 8 units.Question :-
The Area of Parallelogram is 104 units² . Its Base is 13 units . What is the Height of the Parallelogram ?Answer :-
Height of Parallelogram is 8 units .Explanation :-
As per the provided information in the given question, we have been given that the Area of Parallelogram is 104 units² . Its Base is given as 13 units . And, we have been asked to calculate the Height of the Parallelogram .
For calculating the Height , we will use the Formula :-
[tex] \bigstar \: \: \: \boxed{ \sf{ \: Area \: _{Parallelogram} \: = \: Base \: \times \: Height \: }} [/tex]
Therefore , by Substituting the given values in the above Formula :-
[tex] \dag \: \: \: \sf { Area \: _{Parallelogram} \: = \: Base \: \times \: Height } [/tex]
[tex] \longmapsto \: \: \: \sf { 104 \: = \: 13 \: \times \: Height } [/tex]
[tex] \longmapsto \: \: \: \sf { \dfrac {104}{13} \: = \: Height} [/tex]
[tex] \longmapsto \: \: \: \sf { 8 \: = \: Height} [/tex]
[tex] \longmapsto \: \: \: \textbf {\textsf {Height \: = \: 8 }} [/tex]
Hence :-
Height of Parallelogram = 8 units .[tex] \underline {\rule {204pt} {4pt}} [/tex]
Additional Information :-
[tex] \begin{gathered} \begin{gathered} \begin{gathered}\begin{gathered}\boxed{\begin{array}{c} \\ \underline{ { \textbf {\textsf \red{ \dag \: \: More \: Formulas \: \: \dag}}}} \\ \\ \\ \footnotesize \bigstar \: \bf{Area \: _{Square} = Side \times Side} \\ \\ \\ \footnotesize\bigstar \: \bf{Area \: _{Rectangle} = Lenght \times Breadth} \\ \\ \\ \footnotesize \bigstar \: \bf{Area \: _{Triangle} = \frac{1}{2} \times Base \times Height } \\ \\ \\ \footnotesize \bigstar \: \bf{Area \: _{Parallelogram} = Base \times Height} \\ \\ \\ \footnotesize \bigstar \: \bf{Area \: _{Trapezium} = \frac{1}{2} \times [ \: A + B \: ] \times Height } \\ \\ \\ \footnotesize \bigstar \: \bf {Area \: _{Rhombus} = \frac{1}{2} \times Diagonal \: 1 \times Diagonal \: 2}\end{array}}\end{gathered}\end{gathered} \end{gathered} \end{gathered} [/tex]
Find the area of this figure
Answer:
Step-by-step explanation:
4 * 9 + 2* 9 + 1/2*6 * 3
= 36 + 18 + 9
= 63 in^2
The measure of an angle is 74.8°. What is the measure of its complementary angle?
Answer:
105.2°
Step-by-step explanation:
Supplementary means the angles add up to 180. 180-74.5=105.2
Answer:
The answer is 15.2
Step-by-step explanation:
This is literally the EASIEST subject in math so all you do is subtract 90 - 74.8 easy peasy! That's middle school math lol.
Jerome's favorite Harry Potter book has 222222 chapters, 500500500 pages, and approximately 100{,}000100,000100, comma, 000 words. He's curious how many of the words are "made up" words or names that don't exist in the dictionary.
He wants to take a systematic random sample of about 500500500 words to estimate what percent of the words in the book are made up.
Which of these strategies will accomplish his intended design?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
Randomly select one of the first 202020 words and every 20^\text{th}20
th
20, start superscript, start text, t, h, end text, end superscript word thereafter for the sample.
(Choice B)
B
Randomly select one of the first 200200200 words and every 200^\text{th}200
th
200, start superscript, start text, t, h, end text, end superscript word thereafter for the sample.
(Choice C)
C
Randomly select 232323 words from each chapter.
(Choice D)
D
Randomly select 111 word from each page.
(Choice E)
E
Assign every word a number and use a computer to randomly select 500500500 numbers with no repeats
Using sampling concepts, it is found that a systematic sampling of 500 words would be achieved as follows:
B. Randomly select one of the first 200 words and then every 200th word thereafter for the sample.
How are samples classified?Samples may be classified as:
Convenient: Drawn from a conveniently available pool.Random: All the options into a hat and drawn some of them.Systematic: Every kth element is taken. Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.Stratified: Also divides the population into groups. Then, a equal proportion of each group is surveyed.In this problem, he wants a systematic sampling, hence he should choose every kth word, which means that the answer is between options a and b.
He will choose 500 words out of 100,000, hence the value of k is given by:
k = 100000/500 = 200.
Which means that option B is correct.
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Answer:
B
Step-by-step explanation:
khan
triangle BCD is similar to triangle ACE if these triangles are isosceles what is the length of AB?
Answer:
40
Step-by-step explanation:
As it is stated, the triangles are similar to find the length of AB we can use the proportion of sides'
Let x represent the missing length
BD/AE = CD/CE
(2.76)/22 = 5/x cross multiply expressions:
x(2.75) = 110 divide both sides by 2.75
x = 40
What is the slope ( it has a slope of -2) (it has a slope of -1) (it has a slope of 2)
Answer:
slope = - 2
Step-by-step explanation:
calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 0 ) and (x₂, y₂ ) = ( - 1, 2) ← 2 points on the line
m = [tex]\frac{2-0}{-1-0}[/tex] = [tex]\frac{2}{-1}[/tex] = - 2
Answer:
[tex]slope = -2[/tex]
Step-by-step explanation:
Step 1: Determine two points
We need to take two points off of the equation that is used in thsi graph and we can see that we have (0, 0) and (-1, 2)
Step 2: Determine the slope
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{2 - 0}{-1 - 0}[/tex]
[tex]m = \frac{2}{-1}[/tex]
[tex]m = -2[/tex]
Answer: [tex]slope = -2[/tex]
If K is the midpoint of ER, EK = z+5,and ER=4x+2,What is the length of K R?
Answer:
KR = 9
Step-by-step explanation:
If K is the midpoint of ER, then EK = KR and ER = 2(EK).
Given:
ER = 4x + 2EK = x + 5ER = 2(EK)
⇒ 4x + 2 = 2(x + 5)
⇒ 4x + 2 = 2x + 10
⇒ 2x + 2 = 10
⇒ 2x = 8
⇒ x = 4
As EK = KR and EK = x + 5 and x = 4:
⇒ KR = 4 + 5
⇒ KR = 9
KR:-
x+54+59ANSWER PLS! Dont just respond for the points pls
Answer:
18
Step-by-step explanation:
Intersecting Secant-Tangent Theorem
The square of the tangent is equal to the product of the external secant segment and the secant.
Given:
tangent = AE = 12external secant segment = EC = 8secant = ED = 18 + xAE² = EC · ED
⇒ 12² = 8(18 + x)
⇒ 144 = 144 + 8x
⇒ 0 = 8x
⇒ x = 0
ED = 18 + x
= 18 + 0
= 18
Order: abc 1500 mg. stock: abc 2.2 g/3 ml. how many ml(s) will you give? (round the answer to the nearest tenth)
The amount of ml required for the 1500mg order is 2.1ml
Conversion of grams to milligramConversion factors are used to convert units from one form to another.
Using the conversion factor
2.2g = 2200mg
x = 1500mg
Find the ratio of the expressions
2.2/x = 2200/1500
2200x = 2.2 * 1500
2200x = 3300
X = 3300/2200
x = 1.5grams
Since the dosage is 2.2 g/3 ml, then for 1.5grams
Volume required = 1.5*3/2.2
Volume required = 2.1 ml
Hence the amount of ml required for the 1500mg order is 2.1ml
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if the volume of cubical box is 1728^3 . find the total surface area of the box.
Answer:
864 cm²
Step-by-step explanation: Volume of cube Side^3
Side of Cube= (1728)^1/3 = 12cm Total surface area = 6 x Side^2= 6 x 144 = 864 cm²
Roy bought a 25 pound bag and a 10 pound bag of pet food how many pounds of pet food did he buy
Roy bought 35 pounds of pet food.
What is addition?Addition is one of the four basic operations of arithmetic, The addition of two whole numbers results in the total amount or sum of those values combined.
Addition is the process of finding the total, or sum, by combining two or more numbers.
An example of addition is: 5 + 11 + 3 = 19.
Given that, Roy bought a 25 pound bag and a 10 pound bag of pet food we need to find that how many pounds of pet food did he buy
Since, we are required to find what amount of pet food did Roy bought from the market, here we will simply add both the amounts to get the total amount.
Total food = 25 pound bag + 10 pound bag
= 35 pound bag
Hence, Roy bought 35 pounds of pet food.
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The probability of flipping 3 heads on 2 fair
coins would be considered:
A. Likely
B. Certain
C. Unlikely
D.impossible
Answer:
impossible? you have only 2 coins
Answer:
I'm going to assume you mean 3 fair coins. The probably would be 1/8, so unlikely.
Step-by-step explanation:
Find the value of x
A. 8
B. 4
C. 19
D. 24
Given figure is a parallelogram
To Find
Value of"x"
Solution[tex]m \angle \: A = m \angle \: C[/tex]
[tex]2x + 35 = 5x - 22[/tex]
[tex] \implies 2x - 5x = - 22 - 35 \div \\ \implies - 3x = - 57 \\ \\ \implies x = \frac{ - 57}{ - 3} \\ \\ \implies x = \cancel\frac{ - 57}{ - 3} \\ \\ \implies x = 19[/tex]
[tex]\therefore \text{Option C= 19 is the correct answer}[/tex]
Hope this helpsAt school, Akihiro draws a model of the flag of Japan in the coordinate plane.
What is the perimeter of the flag Akihiro draws?
The perimeter of the flag Akihiro draws is the sum of the flag's side lengths
The perimeter of the flag Akihiro draws is 20 units
How to determine the perimeter of the flag?From the coordinate plane, the side lengths of the flag are:
6 units, 4 units, 6 units and 4 units
Add up the side lengths, to determine the perimeter (P)
P = 6 units + 4 units + 6 units + 4 units
Evaluate the sum
P = 20 units
Hence, the perimeter of the flag Akihiro draws is 20 units
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Answer:
20 units
Step-by-step explanation:
What is 7/8 - 1/4 in simplest form?
Answer: 5/8
Step-by-step explanation:
You could convert 1/4 to 2/8 because the numbers you're subtracting have a common factor of 2. After subtracting 2/8 from 7/8, you're left with 5/8.
Answer:
7/8 - 1/4 = 5/8
Step-by-step explanation:
The equation is 7/8 - 1/4 = ?
So you need to have a common denominator for both fractions in order to subtract the two.
In order to make 7/8 and 1/4 have a common denominator, multiply 1/4 by 2. Then it becomes 2/8.
Now you can subtract the two fractions because they both have a common denominator.
7/8 - 2/8 = 5/8
find the equation of a straight line which is parallel to the line with equation 5x+7y=14 and passes through a point (-2,-3)
Answer:
[tex]7y=-5x-11[/tex]
Step-by-step explanation:
Since it says the lines are parallel both of their gradients will be same.
so gradient of line 1 = [tex]y=\frac{14-5x}{7}[/tex] = [tex]y=\frac{14}{7}-\frac{5x}{7}[/tex]= [tex]-\frac{5}{7}[/tex]
so equation of line 2 = [tex]y-y_{1}=m(x-x_{1} )[/tex]
= [tex]y-(-3)_{}=\frac{-5}{7} (x-(-2)_{} )[/tex]
= [tex]y +3=-\frac{5}{7}x+\frac{10}{7}[/tex]
= [tex]y =-\frac{5x+10}{7}-3[/tex]
= [tex]7y=-5x-11[/tex]
Step-by-step explanation:
basically a line equation typically looks like
y = ax + b
with a being the slope, and b bent the y-intercept (y value when x = 0).
5x + 7y = 14
7y = -5x + 14
y = -5/7 x + 14/7 = -5/7 x + 2
so, wie know the slope of the original line : -5/7 .
any line parallel to it must have the same slope.
our desired line looks like
y = -5/7 x + b
to get b we use the provided point (-2, -3).
-3 = -5/7 × -2 + b = 10/7 + b
-21/7 = 10/7 + b
-31/7 = b
and the full equation is
y = -5/7 x - 31/7
7y = -5x - 31
5x + 7y = -31
The vertices of a rectangle are E(−1, 1), F(−1, 3), G(−5, 3), and H(−5, 1). Find the coordinates of the figure after reflecting in the x-axis, and then translating 3 units right.
The resulting points of the rectangle after applying rigid transformations are E'(x, y) = (2, -1), F(x, y) = (2, -3), G(x, y) = (-2, -3), H(x, y) = (-2, -1).
How to apply rigid transformations on geometrical loci
Rigid transformations are transformations in which Euclidean distances are conserved in every point of the geometrical locus. Reflections and translations are sound examples of rigid transformations.
Based on all the information given in the statement, we must apply the following vectorial formula to each vertex of the rectangle EFGH:
(x', y') = (x + 3, -y) (1)
If we know that E(x, y) = (-1, 1), F(x, y) = (-1, 3), G(x, y) = (-5, 3) and H(x, y) = (-5, 1), then the new coordinates are calculated below:
E'(x, y) = (2, -1), F(x, y) = (2, -3), G(x, y) = (-2, -3), H(x, y) = (-2, -1)
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