This is direct proportion .
I need help in question 2 only one of the questions then I can do the rest tysm
Il give
Answer:
(a) 2.5
Step-by-step explanation:
(a) Since y is directly proportional to x we can write y and x in terms of the following equation:
y = cx where c is a constant
and c = y/x ...(1)
or,
x = y/c ...(2)
For (a)
y = 8 when x = 2 ==> c = y/x = 8/2 =4 from (1)
From (2) we get x = 10/4 = 2.5
The other questions can be solved in a similar fashion
Solve this system of equations by
using the elimination method.
2x - 3y = 25
5x + 3y = 10
The ordered pair of solutions
is written in the format (x, y).
([?], [])
Enter
Answer:
(5,-5)
x=5
y=-5
Step-by-step explanation:
How to solve using elimination method.
First, add the two equations.
2x - 3y = 25
+ 5x + 3y = 10
7x=35
The y values got eliminated.
Next, divide 7 from both sides.
7x/7=35/7
x=5
Next, plug-in x=5 into one of the equations.
2(5) - 3y = 25
10-3y=25
Subtract 10 from both sides.
-3y=15
Divide -3 from both sides.
y=-5
Remember a positive divided by a negative is a negative.
Hope this helps!
If not, I am sorry.
p=f/a, where f=70 and a=20 f is increased by 10 a is increased to by 10
Answer:
P=3.5
P=2.667
Step-by-step explanation:
p=f/a
P=70/20
P=3.5
then f is increased by 10
f=70+10=80
and a is increased by 10
a=20+10
a=30
therefore; P=f/a
P=80/30
P=2.667
Which equation is the inverse of y = 9x² - 4?
Answer:
y = ± [ √(x+4) ] / 3
Step-by-step explanation:
1) To find the inverse of the function y = 9x2 – 4, exchange the variables x and y, and then solve for the new y.
2) Exchange of the variables: y = 9x^2 – 4 → x = 9y^2 – 4
3) Solve for y:
=> 9y^2 = x + 4
=> y^2=> y = ± [ √(x + 4) ] / 9
= > y = ± [ √(x + 4) ] / 3
Please help meeeeeeeeee???
The answer for the exponential expressions 1,2,3 and 4 will be [tex]4.5,\frac{1}{2},2,1[/tex] respectively.
What exactly is an exponent?Exponential notation is a type of mathematical shorthand that allows us to write complex formulas in a more concise manner.
The basis of an exponent is a number or letter. It means that the base will be raised to a given level of power. The base is X, and the power is n.
The properties of the exponent used;
[tex]\rm m^a \times m^b = m^{a+b} \\\\ m^a \times n^a = {mn}^a \\\\ m^a \times m^b = m^{a-b} \\\\ m^0 = 1[/tex]
Expression 1;
[tex]\frac{(2.3^{-2})^2(5.3^2.2)^2}{(3)^-2(5.2)^2} \\\\ \frac{2^3.3^{-6}.5^2.3^6}{3^{-2}.5^2.2^2} \\\\ 4.5[/tex]
Expression 2;
[tex](3^3)(4^0)(3.2)^{-3}(2)^2 \\\\ 3^3.1.3^{-3}.2^{-3}.2^2 \\\\ \frac{1}{2}[/tex]
Expression 3;
[tex]\frac{(3^7.4^7)(2.5)^{-3}(5)^2}{12^7.5^{-1}.2^{-4}} \\\\ \frac{3^7.4^7.25^{-3}.5^{-3}.5^2}{12^7.5^{-1}2^{-4}} \\\\ 2[/tex]
Expression 4;
[tex]\frac{(2.3)^{-1}.2^0}{(2.3)^{-1}}\\\\ \frac{2^{-1}.3^{-1}.1}{2.3}\\\\ 1[/tex]
Hence, the answer for the exponential expressions 1,2,3, and 4 will be [tex]4.5,\frac{1}{2},2,1[/tex] respectively.
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what does parallelepiped focus on
Answer:
A parallelepiped has three sets of four parallel edges; the edges within each set are of equal length. Parallelepipeds result from linear transformations of a cube (for the non-degenerate cases: the bijective linear transformations).
Step-by-step explanation:
A parallelepiped focuses on three-dimensional figures formed by six parallelograms.
How to explain the parallelepiped?A parallelepiped shape has the following features
They are three-dimensional figuresThey are formed by 6 parallelogramsOpposite parallelograms are congruentThink of a cube or a cuboid.
Notice that they contain squares and rectangles
A parallelepiped is to a parallelogram as a square is to a cube and a rectangle to a cuboid
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what is mean by Expanded form power of 10 please answer it quickly urgent!
What are the solutions of 2x² - 6x+5=0?
Answer:
no solutions
Step-by-step explanation:
we use the quadratic formula.
for an equation ax²+bx+c=0, the solutions for x are:
x = (-b±sqrt(b²-4ac))/2a
in our case, a=2, b=-6 and c=5, so:
x= (6±sqrt(36-40))/4
we see that we get a negative number inside the sqrt, so we have no real solutions
Answer:
No solution
Step-by-step explanation:
1) Use the quadratic formula
[tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]
Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.
[tex]2x^2-6x+5=0[/tex]
[tex]a=2\\b=-6\\c=5[/tex]
[tex]x=\frac{-(-6)\pm\sqrt{(-6)^2-4*2*5} }{2*2}[/tex]
2) Simplify
Evaluate the exponent:
[tex]x=\frac{6\pm\sqrt{(-6)^2-4*2*5} }{2*2}[/tex]
[tex]x=\frac{6\pm\sqrt{36-4*2*5} }{2*2}[/tex]
Multiply the numbers:
[tex]x=\frac{6\pm\sqrt{36-4*2*5} }{2*2}[/tex]
[tex]x=\frac{6\pm\sqrt{36-40} }{2*2}[/tex]
Subtract the numbers:
[tex]x=\frac{6\pm\sqrt{36-40} }{2*2}[/tex]
[tex]x=\frac{6\pm\sqrt{-4} }{2*2}[/tex]
Multiply the numbers
[tex]x=\frac{6\pm\sqrt{-4} }{2*2}[/tex]
[tex]x=\frac{6\pm\sqrt{-4} }{4}[/tex]
3) No real solutions because the discriminant is negative
The square root of a negative number is not a real number
[tex]d=-4[/tex]
Result
No solution
whenx=2y=50 and whenx=4y=100 Which direct variation equation can be used to model this function?
The equation which is used to model this function is y = 25x.
What is equation?An equation is a mathematical expression that contains an equals symbol. Equations often contain algebra.
Given:
x=2 , y=50
x=4, y=100
As, corresponding to x =2 , y =50
For x=1 , y=25
Hence, the equation which is used to model this function is y = 25x.
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Use the graph of f(x) to find the indicated function values.
The indicated function values are f(0) = 2 and x = -1
How to determine the function values?The attached figure represents the missing piece in the question
From the attached figure, the function values to calculate are:
f(x) when x = 0 and x when f(x) = 0
From the figure, the graph crosses the y-axis at y = 2 and the x-axis at x = -1
This means that:
f(0) = 2 and f(-1) = 0
Hence, the indicated function values are f(0) = 2 and x = -1
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Help with Pre Calculus
Find x intercept for n and find y intercept for m
The international air transport association surveys business travelers to develop quality ratings for transatlantic gateway airports. the maximum possible rating is 10. suppose a simple random sample of business travelers is selected and each traveler is asked to provide a rating for the miami international airport. the ratings obtained from the sample of business travelers follow. 8 8 4 0 5 5 5 4 4 4 4 3 10 6 10 10 0 8 5 4 3 2 4 7 8 9 10 8 4 5 5 4 4 3 8 9 9 5 3 9 8 8 5 10 4 10 5 5 3 3 develop a confidence interval estimate of the population mean rating for miami. round your answers to two decimal places. ( , )
Using the t-distribution, the 95% confidence interval of the population mean rating for Miami is (4.97, 6.51).
What is a t-distribution confidence interval?The confidence interval is:
[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]
In which:
[tex]\overline{x}[/tex] is the sample mean.t is the critical value.n is the sample size.s is the standard deviation for the sample.The parameters for this problem are given as follows:
[tex]\overline{x} = 5.74, s = 2.7, n = 50[/tex]
The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 50 - 1 = 49 df, is t = 2.0096.
Hence the bounds of the interval are given as follows:
[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 5.74 - 2.0096\frac{2.7}{\sqrt{50}} = 4.97[/tex]
[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 5.74 + 2.0096\frac{2.7}{\sqrt{50}} = 6.51[/tex]
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Which table can be created using the equation below?
-2 + 4x = y
X
y
-5-22
0
3
X
y
-22 -5
-2 0
10
3
X
-5
0
-2
10
03
y
-18
-2
10
Answer:
h
Step-by-step explanation:
h
This is the last question PLSSSSS HELP
Answer:
D
Step-by-step explanation:
The volume of a cylinder is pi * r^2 * h
A) V = 3.14 * (0.7/2)^2 * 6.2 = 2.4 m^2
B) V = 3.14 * (0.9/2)^2 * 3.4 = 2.2 m^2
C) V = 3.14 * (1.2/2)^2 * 6.8 = 7.7 m^2
D) V = 3.14 * (1.4/2)^2 * 6.2 = 9.5 m^2
Select the correct answer.
Which graph best models the inequality?
y ≤ -2/5x + 2
Answer:
it would look like this
Step-by-step explanation:
Which is a true statement about an exterior angle of a triangle
Answer:
would love to help but what are the statements?
What is the absolute value of -6 ?
Answer:
the answer is just 6
Step-by-step explanation:
Answer:
Step-by-step explanation:
An absolute value of a number is written like this | x |, where x could be any number that you want.
The absolute value is a math function that counts from your given number to 0.
Example: If you put the number 3, the function will count from 3 to 0, and the number will be 3.
| 3 | = 3
If you input the number 8, from 8 to 0 are 8 numbers. So, the output's function will be 8.
| 8 | = 8
If you input a negative number, for example, -6, the function will do the same thing. It will count from -6 to 0. From -6 to 0, are 6 numbers.
| -6 | = 6
Any number that you input in this function, will always output the same number, but positive
| -10 | = 10
| -46348 | = 46348
Hope I helped !
!!!!PLEASE HELP FAST !!!!
Solve each discrete exponential growth/decay problem. A country pledges to
reduce its CO2 emissions by 3.9% per year. If the emissions in 2022 are 5,160 Mt
(metric megatons), what are the maximum allowable emissions in the year 2030?
A) 5160 0.844≈ 1,329 Mt
B) 5160-0.961 = 3,754 Mt
C) 10320-0.961 = 7,507 Mt
D) 5160-0.99=4,761 Mt
Answer:
C) 10320-0.961 = 7,507 Mt
that is my answer please have a great day
Hey can I have some help with this. Just the answer is fine
Step-by-step explanation:
4.500 mm³ → cm³
1 cm³ = 1.000 mm³
= 4.500 ÷ 1.000
= 4,5 cm³ IS THE ANSWER
Explain what the result of your proof tells you about angles a and b. Specifically, if you measured one angle, what would you know about the other? (2 points)
If the measure of one of the angles ∠a or ∠b is known, then the other angle is given by subtracting the known angle from 180°
What are supplementary angles?Two angles whose sum is 180° are called supplementary angles. If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line.
The required two-column proof is presented as follows;
Statement Reason
∠1 and ∠a are linear pair angles Given
∠1 + ∠a = 180° Linear pair ∠s are supplementary
∠2 and ∠b are linear pair angles Given
∠2 + ∠b = 180° Linear pair ∠s are supplementary
∠a and ∠b are consecutive interior ∠s Definition
x║y Given
∠1 and ∠b are corresponding angles Definition
∠1 ≅ ∠b Corr. ∠s formed between║ lines
∠1 = ∠b Definition of congruency
∠a + ∠b = 180° Substitution property
∠a and ∠b are supplementary Definition
We can conclude from the proof that given ∠1 and ∠b are located in corresponding locations relative to the common transversal of the parallel lines, they (∠1 and ∠b) are equal.
Therefore, the sum of ∠a and ∠b is 180°, given that the sum of ∠1 and ∠a is 180° by substitution property of equality. So, ∠a and ∠b are supplementary angles.
Therefore, If the measure of one of the angles ∠a or ∠b is known, then the other angle is given by subtracting the known angle from 180°
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Please help me with this thanks!!
Answer:
x° = 47°
Step-by-step explanation:
The sum of the measurements of three interior Angles in a triangle is 180°.This is known as angle sum property.Same case is here.
78°,55° and x° are interior angles here.
So,
[tex] 78{}^{ \circ} + 55 {}^{ \circ} + x {}^{ \circ} = 180 {}^{ \circ} [/tex]Solving for x°,
[tex]133 {}^{ \circ} + x {}^{ \circ} = 180 {}^{ \circ} [/tex][tex]x {}^{ \circ} = 180 {}^{ \circ} - 133 {}^{ \circ} [/tex][tex]x {}^{ \circ} = \boxed{47 {}^{ \circ} }[/tex]Hence,the value of x° is 47°.
Eleanor randomly chooses a number from 1 to 10. what is the probability she chooses a number greater than 5?
The probability she chooses a number greater than 5 will be 1/2 or 0.5.
What is probability?Its simple notion is that something will most likely occur. The favorable event's proportion to the overall number of occurrences.
Probability = (Favorable event) / (Total event)
Eleanor randomly decides a number from 1 to 10.
Then the probability she chooses a number greater than 5 will be
Total event = 10
Favorable event = 5 {6, 7, 8, 9, 10}
Then we have
P = 5/10
P = 1/2
P = 0.5
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what is an equivalent expression
Answer:
1st option
Step-by-step explanation:
using the rules of logarithms
• log x + log y = log xy
• n logx ⇔[tex]x^{n}[/tex]
given
2[tex]log_{2}[/tex] 3 + [tex]log_{2}[/tex] 3
= [tex]log_{2}[/tex] 3² + [tex]log_{2}[/tex] 3
= [tex]log_{2}[/tex] 9 + [tex]log_{2}[/tex] 3
= [tex]log_{2}[/tex] (9 × 3)
= [tex]log_{2}[/tex] 27
If f (x) = one-ninth x minus 2, what is ?
A.
B.
f - 1 Baseline (x) = one-ninth x + 2
f - 1 Baseline (x) = -2 x + one-ninth
Please see picture: helpppppp
Answer:
1st option
Step-by-step explanation:
let y = f(x) and rearrange making x the subject , that is
y = [tex]\frac{1}{9}[/tex] x - 2 ( add 2 to both sides )
y + 2 = [tex]\frac{1}{9}[/tex] x ( multiply both sides by 9 to clear the fraction )
9(y + 2) = x
9y + 18 = x
change y back into terms of x with x = [tex]f^{-1}[/tex] (x) , then
[tex]f^{-1}[/tex] (x) = 9x + 18
Answer: A
Step-by-step explanation:
GOT IT RIGHT ON EDG TEST
Explain how to find the average rage of change for a function over a given interval.
The average rate of change for a function over an interval is the slope
How to explain the steps?Take for instance, we have the function to be
Function f(x)
And the interval is (a,b)
The average rate of change for the function over the interval is
Rate = (f(b) - f(a))/(b - a)
The above represents the slope
Take for instance, we have:
f(x) = x^2 [2, 4]
We have:
f(2) = 2^2 = 4
f(4) = 4^2 = 16
So, we have:
Rate = (16 - 4)/(4 - 2)
Rate = 6
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3.5 decimals to mixed numbers
what is the answr to -5(b + 1) = 8
[tex] - 5(b + 1) = 8 \\ - 5b - 5 = 8 \\ - 5b = 8 + 5 \\ - 5b = 13 \\ b = \frac{ - 13}{5} [/tex]
PLEASE GIVE BRAINLIEST
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[tex]\Rsh[/tex] Hey! [tex]\Lsh[/tex][tex]\Rsh[/tex]Let's solve this! We can do this! [tex]\Lsh[/tex]
>>> First, let's multiply -5 by b and 1. Then we obtain
[tex]\pmb{-5b-5=8}[/tex].
>>> Now we add 5 to both sides.
[tex]\pmb{-5b=13}[/tex]
>>> And then, divide both sides by -5.
[tex]\pmb{b=-\dfrac{13}{5}}[/tex]
>>> That is the value of b.
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Hope the answer - and explanation - assisted you!
Happy studies! :)
In the figure below, segment HK and segment IJ intersect at P, and segment HI is parallel to segment Jk. Which of the following angles must be congruent to angle PKJ?
Answer:
angle PHI
Step-by-step explanation:
Using the alternate interior angle theorem, we can figure out that PHI is congruent to PKJ
The World Health Organization lists the following overall literacy rates per 100 people for countries. Which answer choice includes all countries with literacy rates above 90%?
Answer:
The answer is D
Cuba, Poland, U.S., Argentina, Turkey, and Spain
Step-by-step explanation:
Basically, what it was asking, is what countries are over 90%? So, all you have to do - to put it simply - is just look at the countries that's numbers are greater than 90%