Answer:
first option
Step-by-step explanation:
The equation representing a proportional relationship is
y = kx ← k is the constant of proportion
Here k = 0.7, thus
y = 0.7x ← is the required equation
Given
[tex]\frac{y}{x}[/tex] = [tex]\frac{7}{10}[/tex] ( cross- multiply )
10y = 7x ( divide both sides by 10 )
y = [tex]\frac{7}{10}[/tex] x = 0.7 x ← the required equation
simplify 12e^5 divided 3e^3
The division of 12e⁵ by 3e³ will be 4e².
What is the arithmetic operation?In mathematics, the arithmetic operation has four main operators such as addition, subtraction, multiplication, and division.
The symbol of + represents the addition
The symbol of ÷ represents the division
The symbol of - represents subtraction
The symbol of × represents multiplication
Given the division,
12e⁵ by 3e³
⇒ 12e⁵ / 3e³
⇒ 12/3 × e⁵/e³
⇒ 4e²
Hence "The division of 12e⁵ by 3e³ will be 4e²".
To learn more about the arithmetic operators,
brainly.com/question/25834626
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Three metal cubes with edges 6 cm, 8 cm and 12 cm respectively are melted down and made into a single cube. Find the length of one edge of the resulting cube.
Answer: 13.5
Step-by-step explanation:
Find the total volume of the melted cubes:
V₁ = 6³ V₂ = 8³ V₃ = 12³
= 216 = 512 = 1728
So the new cube will have a volume of 216 + 512 + 1728 = 2456
Volume of the cube = side³
2456 = s³
[tex]\sqrt[3]{2456} = s[/tex]
13.5 = s
A particular geometric sequence has strictly decreasing terms. After the first term, each successive term is calculated by multiplying the previous term by $\frac{m}{7}$. If the first term of the sequence is positive, how many possible integer values are there for $m$?
Answer:
6 possible integers
Step-by-step explanation:
Given
A decreasing geometric sequence
[tex]Ratio = \frac{m}{7}[/tex]
Required
Determine the possible integer values of m
Assume the first term of the sequence to be positive integer x;
The next sequence will be [tex]x * \frac{m}{7}[/tex]
The next will be; [tex]x * (\frac{m}{7})^2[/tex]
The nth term will be [tex]x * (\frac{m}{7})^{n-1}[/tex]
For each of the successive terms to be less than the previous term;
then [tex]\frac{m}{7}[/tex] must be a proper fraction;
This implies that:
[tex]0 < m < 7[/tex]
Where 7 is the denominator
The sets of [tex]0 < m < 7[/tex] is [tex]\{1,2,3,4,5,6\}[/tex] and their are 6 items in this set
Hence, there are 6 possible integer
Find the zeros of y=x^2+4x-9 by completing the square.
Answer:
[tex]\boxed{x =-2 \±\sqrt{13} }[/tex]
Step-by-step explanation:
Let y = 0
0 = x^2+4x-9
x² + 4x -9 = 0
Add 9 on both sides.
x² + 4x = 9
(b/2)² = (4/2)² = 2² = 4
Add 4 on both sides.
x² + 4x + 4 = 13
Facror left side.
(x+2)² = 13
Take the square root on both sides.
x + 2 = ±√13
Subtract 2 on both sides.
x = ±√13 - 2
Where is the function decreasing?
Answer:
the function is decreasing at the domain values: (-∞,1)
Step-by-step explanation:
the function is decreasing in the domain values from -∞ until 1, the lowest point with no increase or decrease:
which in interval notation can be written as: (-∞,1)
I hope this helps, but if I didn't answer the question or answered wrongly I will try again.
Solve this system of linear equations. Separate
the x- and y-values with a comma.
5x + 7y = -34
10x + 17y = -89
Answer:
(-9.6,2)
Step-by-step explanation:
hope i helped
pls can i get brainliest
-Zylynn
What does x equal in the equation 4x + (−3) = 5x + 3?
Answer:
x = -6
Step-by-step explanation:
First write the equation.
4x + -3 = 5x + 3
The isolate x in the equation. Add -4x to both sides.
4x + -3 + -4x = 5x + 3 + -4x
-3 = x + 3
Then add -3 to both sides.
-3 + -3 = x + 3 + -3
-6 = x
Now you have the value of x = -6.
Cheers.
Answer:
x = -6Step-by-step explanation:
4x + (−3) = 5x + 3+3 +3
4x = 5x + 6-5x -5x
-x = 6÷(-1) ÷(-1)
x = - 6A realtor uses a lock box to store the keys to a house that is for sale. The access code for the lock box consists of digits. The first digit cannot be and the last digit must be . How many different codes are available? (Note that 0 is considered an even number.)
Answer:
4,500 Codes
Step-by-step explanation:
Given that, the access code consists of 4 digits.
Since, the First digit cannot be zero, and the last digit has to be even.
Therefore, Locks can only use numbers (0-9), which means the first digit has 9 possible outcomes ( 1-9),
the 2nd has 10 possible outcomes (0-10),
the same with the 3rd (0-10) and
finally the 4th has only 5 possible outcomes (0,2,4,6,8),
which we assume that zero is not excluded.
Finally, Mulitply 9 x 10 x 10 x 5 = 4,500.
A group conducted a poll of 2022
likely voters just prior to an election. The results of the survey indicated that candidate A would receive 49
%
of the popular vote and candidate B would receive 46
%
of the popular vote. The margin of error was reported to be 5
%.
The group reported that the race was too close to call. Use the concept of a confidence interval to explain what this means.
Answer:
Step-by-step explanation:
number of likely voters = 2022
candidate A = 49%
candidate B = 46%
margin of error = 5%
using the concept of a confidence interval to explain
from the result of the poll conducted candidate A scored 49% of the votes while Candidate B scored 46% therefore the difference between the two voters is 3%.
also the margin of error is 5% which is higher than the 3% difference between the candidates. this margin error means that the 5% can vote for either candidate A or candidate B .which makes the results TOO CLOSE TO CALL
Move the center of the circle horizontally to the left and then to the right of the y-axis. How does the equation of the circle change as the center crosses the y-axis?
Answer:
The equation of a circle centered in the point (a, b) and with a radius R.
(x - a)^2 + (y - b)^2 = R^2
Then, if you move the circle to the left, then you are decreasing the value of b.
Where b = 0 means that the center of the circle lies on the y-axis.
When you move the graph to the right you will be increasing the value of b.
Answer:
The variable h changes as the center of the circle moves horizontally. The sign of h is negative when the center is to the left of the y-axis and positive when it is to the right of the y-axis. The sign of the variable h flips when the center moves across the y-axis.
Step-by-step explanation:
plato answer from Equation of a Circle: Tutorial :)
This link will take you to a quizlet that is on this lesson with the other answers and test question answers!!
https://quizlet.com/519491317/geometry-b-unit-7-flash-cards/#:~:text=Move%20the%20center%20of%20the%20circle%20vertically%20so%20it%20lies,of%20the%20circle%20moves%20vertically.
Chapter 8 Written Homework 1. A hypothesis test is conducted to test the claim that the proportion of people with dark hair at Moorpark is greater than 0.8. The researchers find that the test statistic is z = 2.19. a. Using ???? = 0.05, draw a bell-shaped curve to represent the critical value approach. Be sure to label (This means find and label the critical value as well as the rejection and fail to reject regions). b. Based on your drawing would we reject of fail to reject? Explain.
Answer:
we reject H₀
Step-by-step explanation: Se annex
The test is one tail-test (greater than)
Using α = 0,05 (critical value ) from z- table we get
z(c) = 1,64
And Test hypothesis is:
H₀ Null hypothesis μ = μ₀
Hₐ Alternate hypothesis μ > μ₀
Which we need to compare with z(s) = 2,19 (from problem statement)
The annex shows z(c), z(s), rejection and acceptance regions, and as we can see z(s) > z(c) and it is in the rejection region
So base on our drawing we will reject H₀
Help!!!!! Thank you!!!!
Answer:
97
Step-by-step explanation:
5 * 85 - 4* 82 = 97
If f(x) = 3x + 2, what is f(5)?
Answer:
17
Step-by-step explanation:
f(5) = (5*3)+2
f(5) = 17
OL ⊥ ON start overline, O, L, end overline, \perp, start overline, O, N, end overline \qquad m \angle LOM = 3x + 38^\circm∠LOM=3x+38 ∘ m, angle, L, O, M, equals, 3, x, plus, 38, degrees \qquad m \angle MON = 9x + 28^\circm∠MON=9x+28 ∘ m, angle, M, O, N, equals, 9, x, plus, 28, degrees Find m\angle LOMm∠LOMm, angle, L, O, M:
Answer:
44°Step-by-step explanation:
If side OL is perpendicular to ON i.e OL ⊥ ON, then angle ∠LON = 90°. If the is another line OM projecting from O with ∠LOM= (3x+38)° and ∠MON= (9x+28)°, then ∠MON + ∠LOM = ∠LON
Substituting the given angles int the expressions above to calculate the value of x;
(9x+28)° + (3x+38)° = 90°
12x+66 = 90°
12x = 90-66
12x = 24
x = 2°
Since ∠LOM= (3x+38)°, to get the value of the angle, we will substitute x = 2° into the expression as shown;
∠LOM= (3(2)+38)°
∠LOM= 6+38
∠LOM= 44°
Hence the measure of angle LOM is 44°
Answer: LOM = 44°
Step-by-step explanation: it’s right on khan academy (picture for proof)
X²+Y²=250 and XY=117
What are the values of X and Y?
Answer:
x = -9, y = -13 or x = 13, y = 9 or x = -13, y = -9 or x = 9, y = 13Step-by-step explanation:
[tex]x^2+y^2=250\\\\x^2-2xy+y^2+2xy=250\\\\(x-y)^2=250-2xy\\\\(x-y)^2=250-2\cdot117\\\\ (x-y)^2=16\\\\x-y=4\qquad\qquad\vee\qquad \qquad x-y=-4\\\\x=4+y \qquad\qquad \vee\qquad\qquad x=-4+y\\\\(y+4)y=117\qquad\vee\qquad\quad (y-4)y=117\\\\y^2+4y-117=0\qquad\vee\qquad y^2-4y-117=0\\\\y=\dfrac{-4\pm\sqrt{4^2-4(-117)}}{2\cdot1}\qquad\vee\qquad y=\dfrac{4\pm\sqrt{4^2-4(-117)}}{2\cdot1}\\\\y=\dfrac{-4\pm\sqrt{16+468}}{2}\qquad\ \ \vee\qquad y=\dfrac{4\pm\sqrt{16+468}}{2}[/tex]
[tex]y_1=\dfrac{-4-22}{2}\ ,\quad y_2=\dfrac{-4+22}{2}\ ,\quad y_3=\dfrac{4-22}{2}\ ,\quad y_4=\dfrac{4+22}{2}\\\\y_1=-13\ ,\qquad y_2=9\ ,\qquad\quad\qquad\ y_3=-9\ ,\qquad y_4=13\\\\x_{1,2}=4+y_{1,2}\qquad\qquad\qquad\qquad\qquad x_{3,4}=-4+y_{3,4}\\\\x_1=-9\ ,\qquad x_2=13\ ,\qquad\quad\qquad x_3=-13\ ,\qquad x_4=9[/tex]
The sketch shows a triangle and its
exterior angles. Find the measure of
angle IAC.
Show all your calculations. Justify your
answer.
MDHA = 128"
MZHCA = 46°
Answer:
∠ IAC = 98°
Step-by-step explanation:
The sum of the exterior angle = 360°
∠ HCB = 180° - 46° = 134° ( adjacent angles )
Thus
∠ IAC + 128° + 134° = 360°, that is
∠ IAC + 262° = 360° ( subtract 262° from both sides )
∠ IAC = 98°
Answer:
<IAC=°98
Step-by-step explanation:
<DHA + CHA = 180 SUPPLEMENTARY ANGLE
128 +CHA=180
<CHA=52
<CHA + <HAC+<ACH=180 b/c it is triangle
46 +52+HAC= 180
<HAC= 180-98
<HAC= 82
<HAC + <IAC= 180. Supplementary angle
82+<IAC=180
<IAC=180-82
<IAC=98
The function, f(x) = –2x2 + x + 5, is in standard form. The quadratic equation is 0 = –2x2 + x + 5, where a = –2, b = 1, and c = 5. The discriminate b2 – 4ac is 41. Now, complete step 5 to solve for the zeros of the quadratic function. 5. Solve using the quadratic formula. x = StartFraction negative b plus or minus StartRoot b squared minus 4 a c EndRoot Over 2 a EndFraction What are the zeros of the function f(x) = x + 5 – 2x2? x = StartFraction negative 1 plus or minus StartRoot 41 EndRoot Over negative 4 EndFraction x = StartFraction 1 plus or minus StartRoot 41 EndRoot Over negative 4 EndFraction x = StartFraction negative 1 plus or minus StartRoot 39 EndRoot Over negative 4 EndFraction x = StartFraction 1 plus or minus StartRoot 39 EndRoot Over negative 4 EndFraction
Answer:
To solve for the zeros of the function equate f(x) = 0
That's
- 2x² + x + 5 = 0
Using the quadratic formula
[tex]x = \frac{ - b± \sqrt{ {b}^{2} - 4ac} }{2a} [/tex]
a = - 2 b = 1 c = 5
And from the question
b² - 4ac = 41
So we have
[tex]x = \frac{ - 1± \sqrt{41} }{2( - 2)} = \frac{ - 1± \sqrt{41} }{ - 4} [/tex]
[tex]x = \frac{1± \sqrt{41} }{4} [/tex]
We have the final answer as
[tex]x = \frac{1 + \sqrt{41} }{4} \: \: \: \: or \: \: \: \: x = \frac{1 - \sqrt{41} }{4} [/tex]
Hope this helps you
Answer:
The CORRECT answer is A.
Step-by-step explanation:
just did it.
How do u do this please help WILL GIVE BRAINLIEST
Answer: x = 9[tex]\sqrt{2\\}[/tex], y =18
Step-by-step explanation:
cuz
Instructions: Find the missing side. Round your answer to the
nearest tenth
Answer:
73.2
Step-by-step explanation:
you can find the answer using trigonometry relationship
sin31°=41/x
x=41/sin31°. sin31° is approximately equal to 0.56
x=41/0.56
x=73.2
Which statements are true about the solution of 15 greater-than-or-equal-to 22 + x? Select three options. x greater-than-or-equal-to negative 7 x less-than-or-equal-to negative 7 The graph has a closed circle. –6 is part of the solution. –7 is part of the solution.
Answer:
[tex]x \leq -7[/tex]
The graph has a closed circle.
–7 is part of the solution.
Step-by-step explanation:
Given
[tex]15 \geq 22 + x[/tex]
Required
Select 3 options from the given list of options
[tex]15 \geq 22 + x[/tex]
Subtract 22 from both sides
[tex]15 - 22 \geq 22 - 22+ x[/tex]
[tex]-7 \geq x[/tex]
Swap positions of the expression; Note that the inequality sign will change
[tex]x \leq -7[/tex]
This means x less-than-or-equal-to negative 7
There are two options left to select;
The inequality sign in [tex]x \leq -7[/tex] implies that the graph has a close circle.
Inequality signs such as [tex]\leq[/tex] and [tex]\geq[/tex] signifies a close circle
There is only one option left to select;
Lastly;
Split the expression [tex]x \leq -7[/tex] into two
We have:
[tex]x < -7[/tex] or [tex]x = -7[/tex]
Because [tex]x = 7[/tex],
Then, -7 is also a part of the solution
Answer:
B) x less-than-or-equal-to negative 7
C) The graph has a closed circle.
E) –7 is part of the solution.
Step-by-step explanation:
Im not 100% sure but i am 95% sure they r
Choose two values, a and b, each between 8 and 15. Show how to use the identity a^3+b^3=(a+b)(a^2-ab+b^2) to calculate the sum of the cubes of your numbers without using a calculator
I really need help with this
Answer:
Step-by-step explanation:
a = 8
b = 10
a^3 =8^3 = 512
b^3= 10^3 =1000
a^3 + b^3 = 1512
a^2 = 64
-ab = - 80
b^2 = 100
a + b=18
(a + b) (64 - 80+ 100)
18 * (84)
1512'
What is the value of this expression when t = -12? -3|t − 8| + 1.5
Answer:
-59.5
Step-by-step explanation:
We are given the expression
-3|t − 8| + 1.5
t = -12
Subtituting -12 for t in the expression, we have:
-3|-12 - 8| + 1.5
-3|-20| + 1.5
Note : |-20| = 20
-3 × 20 + 1.5
= -60 + 1.5
= -59.5
The value of the expression = -59.5
Which set of ratios could be used to determine if one triangle is a dilation of the other? A triangle has side lengths of 4, 6, 8.5. A second triangle has side lengths of 6, 9, 12.5. StartFraction 4 Over 6 EndFraction = StartFraction 6 Over 9 EndFraction = StartFraction 8.5 Over 12.5 EndFraction StartFraction 6 Over 4 EndFraction = StartFraction 6 Over 9 EndFraction = StartFraction 8.5 Over 12.5 EndFraction StartFraction 4 Over 6 EndFraction = StartFraction 9 Over 6 EndFraction = StartFraction 8.5 Over 12.5 EndFraction StartFraction 4 Over 6 EndFraction = StartFraction 8.5 Over 9 EndFraction = StartFraction 6 Over 12.5 EndFraction
Answer:
[tex]A.\ \frac{4}{6} = \frac{6}{9} = \frac{8.5}{12.5}[/tex]
Step-by-step explanation:
Given
Let the two triangles be A and B
Sides of A: 4, 6 and 8.5
Sides of B: 6, 9 and 12.5
Required
Which set of ratio determines the dilation
To determine the dilation of a triangle over another;
We simply divide the side of a triangle by a similar side on the other triangle;
From the given parameters,
A ------------------B
4 is similar to 6
6 is similar to 9
8.5 is similar to 12.5
Ratio of dilation is as follows;
[tex]Dilation = \frac{4}{6}[/tex]
[tex]Dilation = \frac{6}{9}[/tex]
[tex]Dilation = \frac{8.5}{12.5}[/tex]
Combining the above ratios;
[tex]Dilation = \frac{4}{6} = \frac{6}{9} = \frac{8.5}{12.5}[/tex]
From the list of given options, the correct option is A,
Answer:
a
Step-by-step explanation:
Please answer the following questions
Step-by-step explanation:
sorry I can only explain as there are no labels to each diagram
The first diagram is single and can solved using triangular formular given as 1/2 ×base × height
A = 1/2 × 5 × 12
A = 30cm^2..
as for the second one...it consist of 2 diagrams which will be solved separately before adding ...it can simply be done using Pythagoras theorem..
To get the smaller part ...out tita is 45degrees while our adjacent is 4 and opposite is x we are to find x which is the height...
using SOH CAH TOA...
WE HAVE TAN45= opp/adj
Tan45= x/ 4
Tan 45 =1 ...so
1 = x/ 4
and x= 4 ...
so...having our height as 4 and base as 4 ..
Area of smaller triangle become 1/2 × 4 × 4
A = 8cm^2 ...
......SOLVING FOR THE SECOND DIAGRAM ..
WE HAVE the height as ( dotted spot + undotted spot ) = 4 + 4 = 8cm
and our base can be gotten from
Tan45 = opp / adj
1 = 8/x ..
x = 8cm ....so the base is 8 and the height is 8
..
The Area becomes 1/2 × 8×8 = 32cm ...
Total area becomes 32cm + 8cm = 40cm^2
Identify the type of observational study (cross-sectional, retrospective, or prospective) described below. A research company uses a device to record the viewing habits of about 25002500 households, and the data collected todaytoday will be used to determinenbsp the proportion of households tuned to a particular newsnews program.. Which type of observational study is described in the problem statement?
Answer:
Cross Sectional
Step-by-step explanation:
A cross sectional is one in which an association is developed between a risk factor or an outcome.
In the given question the device is used to record the viewing habits of about 2500 households, and the data collected today will be used to determine the proportion of households tuned to a particular news program. There will be risk factor in today's research with the future developed program which will the outcome.
For example there are 20 students in my class who cannot write. So I develop a program to help them write. But the next year there may not be any student who would require such help.So there's a risk factor associated with the outcome.
Cross sectional results are recorded in a two ways table showing do's and don'ts.
The biomass B(t) of a fishery is the total mass of the members of the fish population at time t. It is the product of the number of individuals N(t) in the population and the average mass M(t) of a fish at time t. In the case of guppies, breeding occurs continually. Suppose that at time t = 5 weeks the population is 824 guppies and is growing at a rate of 50 guppies per week, while the average mass is 1.3 g and is increasing at a rate of 0.14 g/week. At what rate is the biomass increasing when t = 5? (Round your answer to one decimal place.) B'(5) = g/week
Answer:
The rate at which the biomass is increasing when t = 5 is 180.36 g/week
Step-by-step explanation:
Given that :
t = 5 weeks
Population N(t) = 824 guppies
Growth Rate [tex]\dfrac{dN(t)}{dt}= 50 \ guppies /week[/tex]
average mass M(t) = 1.3 g
increase rate of biomass [tex]\dfrac{dM (t)}{t}[/tex]= 0.14 g/week
Therefore; the rate at which the biomass is increasing when t = 5 is:
[tex]\dfrac{dB(t)}{dt}= M(t) * \dfrac{dN(t)}{dt}+ N(t)* \dfrac{dM (t)}{t}[/tex]
[tex]\dfrac{dB(t)}{dt}=1.3 * 50+ 824* 0.14[/tex]
[tex]\dfrac{dB(t)}{dt}=65+115.36[/tex]
[tex]\mathbf{\dfrac{dB(t)}{dt}=180.36 \ g/week}[/tex]
The rate at which the biomass is increasing when t = 5 is 180.36 g/week
The rate at which the biomass is increasing when t = 5 is 180.36 g/week
Calculation of the rate:Since time = 5 weeks, Population N(t) = 824 guppies, and growth rate = 50 guppies / week, average mass = 1.3g, and the increase rate of biomass is 0.14g/week
So,
[tex]= 1.3\times 50 + 824 \times 0.14[/tex]
= 65 + 115.36
= 180.35 g/weel
Learn more about mass here: https://brainly.com/question/3943429
What is m∠A? please help
Answer: 50 degrees
Step-by-step explanation:
180-85=95
180-145=35
interior angle sum for a triangle is 180 degrees, so 180=95+35+a
m of angle A is 50 degrees
Solve the following: (1 point) x + 3y = 9 3x − 3y = −13
Answer:
Step-by-step explanation:
Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.
Point Form:
(
−
1
,
10
3
)
Equation Form:
x
=
−
1
,
y
=
10
3
Tap to view steps...
image of graph
Tap to hide graph...
Which expressions are equivalent to -56z+28 A 1/2*(-28z+14) B (-1.4z+0.7)\* 40 C (14-7z)*(-4) D (8z-4)*(-7) E-2(-28z-14)
Answer:
D (8z-4)*(-7)
Step-by-step explanation:
Given:
-56z+28
D (8z-4)*(-7)
-56z+28
Therefore, option D is the equivalent expression
Finding the equivalent expression by solving each option and eliminating the wrong option
A 1/2*(-28z+14)
=-28z+14/2
=-14z+7
B (-1.4z+0.7) /* 40
Two signs ( division and multiplication)
Using multiplication,we have
-56z+28
Using division, we have
0.035z + 0.0175
C (14-7z)*(-4)
-56+28z
D (8z-4)*(-7)
-56z+28
E -2(-28z-14)
56z+28
Answer:
B and D
trust me
The function graphed models the profits, P(c), in thousands of dollars a store earns as a function of the number of clerks, c, working that day. Which statements are true based on the model?
Answer:
Options (1), (2) and (5)
Step-by-step explanation:
Outcomes from the quadratic function given in the graph,
1). Negative y-intercept of the graph represents the loss to the store when x = 0 Or the loss when no clerk is working.
2). Peak of the parabola represents a point (vertex) with x-coordinate as number of clerks working = 4 and y-coordinate as maximum profit earned by the store = $400,000
3). x-intercept of the graph shows the number of clerks working at store when profit earned by the store is zero.
Graph reveals that the store is in loss when number of clerks is zero and 8.
Summarizing these outcomes from the graph,
Options (1), (2), (5) are the correct options.
The function graphed models the profits, P(c), in thousands of dollars a store earns as a function of the number of clerks, c, working that day.
Which statements are true based on the model?