Answer:
Malik substituted 60 for y instead of x.
Step-by-step explanation:
According to the given situation the computation of error that Malik make first when solving the equation is shown below:-
First, we will find the value of x
[tex]\frac{2}{5} x - 4(60) = 10[/tex]
[tex]\frac{2}{5} x = 10 + 240[/tex]
[tex]\frac{2}{5} x = 250[/tex]
x = 625
Now, we have
[tex]\frac{2}{5} x - 4 y = 10[/tex]
we will solve the above equation, to find the value of y
24 - 4y = 10
4y = 24 - 10
4y = 14
[tex]y = \frac{14}{4}[/tex]
[tex]y = \frac{7}{2}[/tex]
So, from the above calculation, the correct option is
Malik substituted 60 for y instead of x.
Answer:
D on EDGE
Step-by-step explanation:
x=__√__ How do I solve the problem and what are the steps to do it?
Answer:
x = 4sqrt(2)
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
x^2 + 7^2 = 9^2
x^2 +49 = 81
Subtract 49 from each side
x^2 = 81-49
x^2 =32
Take the square root of each side
sqrt(x^2) = sqrt(32)
x = sqrt( 16*2)
x = sqrt(16) sqrt(2)
x = 4sqrt(2)
Answer:
x = 4√2
Step-by-step explanation:
The triangle is a right triangle.
Use Pythagorean theorem.
a² + b² = c²
The sum of legs squared is the hypotenuse squared.
The hypotenuse (largest side) is 9.
The legs are 7 and x.
7² + x² = 9²
49 + x² = 81
x² = 81 - 49
x² = 32
x = √32
x = √16√2
x = 4√2
HELPPP DO NOT LOOK IT UP PLS
Classify the following triangle. Check all that apply.
Answer: scalene, right
Step-by-step explanation:
None of the side lengths of the triangle are equal, so the triangle is scalene.
This triangle also has a right angle, so it is a right triangle.
Answer:
D. And E.
Step-by-step explanation:
It is a right triangle because it has a corner that is 90 degrees. It is also scalene because all of the sides and angles have different values.
Find the lower bound for the following lengths:
a) 40 cm measured to the nearest cm.
b) 82.8 cm measured to the nearest tenth of a cm.
Answer:
a) Lower bound = 39.5
b) Lower bound = 82.75
PLEASE HELP ME I REALLY NEED HELP PLEASEEEE
If a circle has an area of 12πcm² and a diameter line AB, what is the length of arc AB?
A. √3π cm
B. 3π cm
C. 2√3π cm
D. 6π cm
E. 4√3π cm
Answer:
c
Step-by-step explanation:
area of a circle = πr²
area = A²
A =√ 12π
A = 2 √ 3π
answer below these questions
rule: little x means times not the other way round
A: 3X^2Y^4 x 2X^6Y
B: XZ^3 x 4X^4Z^5
C: 4A^3^2 x 3A^6B^5
D: 6S^5T x S^4T^2
Answer:
A: 6x⁸y⁵
B: 4x⁵z⁸
C: 48a¹²b⁵
D: 6s⁹t³
Step-by-step explanation:
When you multiply 2 exponents together, you add them. When you power an exponent, you multiply the 2 exponents together,
3x²2y⁴(2x⁶y)
6x⁸y⁵
xz³(4x⁴z⁵)
4x⁵z⁸
(4a³)²(3a⁶b⁵)
16a⁶(3a⁶b⁵)
48a¹²b⁵
6s⁵t(s⁴t²)
6s⁹t³
Please help ASAP :):)
Answer:
b
Step-by-step explanation:
i solved it in my head.
Answer:
4 cm^2
4 cm
Step-by-step explanation:
8/2 = 4
4/2 = 2
each side of the square is 2 cm
sqrt. 16 = 4
4 cm
ASAP!!!! FUNCTIONS HELP
Answer:
3Step-by-step explanation:
All but first for every single x gives single y so the second, third and fourth are function
At first for x=2 we have two y (2 or -2) so this isn't function.
A medical researcher is studying the effects of a drug on blood pressure. Subjects in the study have their blood pressure taken at the beginning of the study. After being on the medication for 4 weeks, their blood pressure is taken again. The change in blood pressure is recorded and used in doing the hypothesis test. Change: Final Blood Pressure - Initial Blood Pressure The researcher wants to know if there is evidence that the drug increases blood pressure. At the end of 4 weeks, 32 subjects in the study had an average change in blood pressure of 2.5 with a standard deviation of 4.8. Find the p -value for the hypothesis test.
Answer:
The p -value for the hypothesis test is 0.003.
Step-by-step explanation:
In this case, a paired t-test would be used to determine whether the drug increases blood pressure.
The hypothesis can be defined as follows:
H₀: The drug has no effect on blood pressure, i.e. d = 0.
Hₐ: The drug increases blood pressure, i.e. d > 0.
The information provided is:
[tex]n=32\\\bar d=2.5\\S_{d}=4.8[/tex]
The test statistic is:
[tex]t=\frac{\bar d}{S_{d}/\sqrt{n}}[/tex]
[tex]=\frac{2.5}{4.8/\sqrt{32}}\\\\=2.9463\\\\\approx 2.95[/tex]
The degrees of freedom of the test is:
[tex]df=n-1=32-1=31[/tex]
The p-value of the test is:
[tex]p-value=P(t_{31}>2.95)=0.003[/tex]
*Use a t-table.
Thus, the p -value for the hypothesis test is 0.003.
A t-test is an inferential statistic that is used to see if there is a significant difference in the means. The p-value for the hypothesis test is 0.003.
What is a t-test?A t-test is an inferential statistic that is used to see if there is a significant difference in the means of two groups that are connected in some way.
As it is given that 32(n) subjects in the study had an average change in blood pressure of 2.5([tex]\bar d[/tex]) with a standard deviation of 4.8([tex]S_d[/tex]).
Now, in order to solve the problem we need to use t-test, the test will determine whether the blood pressure increases or not under the influence of the drug.
The hypothesis for the test can be defined as:
H₀: The drug has no effect on blood pressure, therefore, d = 0.
Hₐ: The drug has increased blood pressure, therefore, d>0.
The test static is:
[tex]t = \dfrac{\bar d}{\dfrac{S_d}{\sqrt n}}\\\\\\t = \dfrac{2.5}{\dfrac{4.8}{32}} = 2.946 \approx 2.95[/tex]
Further, the degree of freedom of the test can be written as,
[tex]d_f=n-1 = 32-1=31[/tex]
Thus, the p-value of the test is:
[tex]p-value = P(t_{31} > 2.95)\\\\\text{Using the t-table}\\\\p-value = 0.003[/tex]
Hence, the p-value for the hypothesis test is 0.003.
Learn more about T-test:
https://brainly.com/question/1189751
(x2 + 4x) - 2x = x2 +
X
Answer:
x=0
Step-by-step explanation:
(x^2 + 4x) - 2x = x^2 +x
Combine like terms
x^2 +2x = x^2 +x
Subtract x^2 from each side
2x =x
Subtract x from each
2x-x = x-x
x = 0
Answer:
[tex]x=0[/tex]
Step-by-step explanation:
[tex]x^2+4x-2x=x^2+x[/tex]
Combine like terms.
[tex]x^2+2x=x^2+x[/tex]
Add [tex]-x^2[/tex] and [tex]-2x[/tex] on both sides.
[tex]x^2+2x-x^2-2x=x^2+x-x^2-2x[/tex]
[tex]0=x-2x[/tex]
[tex]0=-1x[/tex]
Divide both sides by [tex]-1[/tex].
[tex]\frac{0}{-1} =\frac{-1x}{-1}[/tex]
[tex]0=x[/tex]
the question is 1/2 of 5 =
Answer:
2.5
Step-by-step explanation:
1/2x5=?
5/2=?
2.5=?
Answer:
[tex]\boxed{2.5}[/tex]
Step-by-step explanation:
=> [tex]\frac{1}{2} of 5[/tex]
The word "of" means "to multiply"
=> [tex]\frac{1}{2} * 5[/tex]
=> [tex]\frac{1*5}{2}[/tex]
=> [tex]\frac{5}{2}[/tex]
=> 2.5
25% of a number is a lb. please help
Answer:
4 lb
Step-by-step explanation:
If f(x)=5x, what is f^-1(x)
Answer:
f^-1(x) = _x__
5
Step-by-step explanation:
Answer:
[tex] {f}^{ - 1} (x) = \frac{x}{5} [/tex]
Step-by-step explanation:
f(x) = 5x
To find f^-1(x) equate f(x) to y
That's f(x) = y
y = 5x
Interchange the variables
x = 5y
Make y the subject by dividing both sides by 5
y = x/5
The final answer is
f^-1(x) = x/5
Hope this helps you.
if f(x) = 4x-20 , what is f(4) A.16 B. 4 C. -12 D. -4
Answer:
D. -4
Step-by-step explanation:
f(x) = 4x - 20
f(4) = 4(4) - 20
f(4) = 16 - 20
f(4) = -4
Answer: -4
Step-by-step explanation: f ( x ) = 4x - 20
just replace the x with 4 and solve
4 ( 4 ) - 20
16 - 20
= -4
The planet mercury is approximately 6*10^7 miles from the sun. The distance between the sun and mars is approximately 2*10^8 miles. About how many times farther from the sun is mars than mercury.
Answer:
Around 10/3 or 3.33 times farther.
Step-by-step explanation:
We simply divide the larger distance by the smaller distance to find our ratio:
2(10⁸)/6(10⁷)
10/3
*Remember when you divide exponents, you subtract them
Please answer this question in two minutes
Answer:
t = 8; u = 14.
Step-by-step explanation:
If the two triangles are to be congruent, their side lengths and angles must be equal.
In this case, segment RQ corresponds with segment HI, and segment QS corresponds to segment IJ.
Since they are equal, we know that...
3u = u + 28
and
16t - 32 = 12t
Solve for both!
3u = u + 28
2u = 28
u = 14
16t - 32 = 12t
4t = 32
t = 8
So, t = 8 and u = 14.
Hope this helps!
Answer他媽的你你一個愚蠢的屁股妓女,你需要做你贏了他媽的作業傻瓜屁股
Step-by-step explanation:
19. Solve for g: 5 / 8 = 12 / g
Answer:
19.2Solution,
[tex] \frac{5}{8} = \frac{12}{g} \\ or \: 5 \times g = 12 \times 8 \: ( \: cross \: multiplication) \\ or \: 5g = 96 \\ or \: g = \frac{96}{5} \\ g = 19.2[/tex]
Hope this helps..
Good luck on your assignment...
Answer:
Step-by-step explanation:
5/8=12/g
*8 *8
5=12*8/g
*g *g
5g=12*8=96
:5 :5
g=96/5
g=19.2
If (ax+b)(bx+a)=26x^2+ Box(x) +26, where a, b, and Box are distinct integers, what is the minimum possible value of Box, the coefficient of x?
Question in latex: If $(ax+b)(bx+a)=26x^2+\Box\cdot x+26$, where $a$, $b$, and $\Box$ are distinct integers, what is the minimum possible value of $\Box$, the coefficient of $x$?
Answer:
16.59
Step-by-step explanation:
Given:
[tex](ax+b)(bx+a)=26x^2+\Box\cdot x+26[/tex]
Expanding the left hand side, we have:
[tex](ax+b)(bx+a)=abx^2+a^2x+b^2x+ab\\=abx^2+(a^2+b^2)x+ab\\=26x^2+\Box\cdot x+26\\ab=26 \implies b=\frac{26}{a}[/tex]
Therefore:
[tex]a^2+b^2=a^2+\dfrac{26}{a} =\dfrac{a^3+26}{a}[/tex]
To find the minimum value, we take the derivative and solve for its critical point.
[tex]\frac{d}{da} (\frac{a^3+26}{a})=\frac{2a^3-26}{a^2}\\$Setting the derivative equal to zero, we have:\\2a^3-26=0\\2a^3=26\\a^3=13\\a=\sqrt[3]{13}[/tex]
Recall that:
[tex]\Box=a^2+b^2=\dfrac{(\sqrt[3]{13}) ^3+26}{\sqrt[3]{13}}\\=\dfrac{13+26}{\sqrt[3]{13}}\\\\\Box=16.59[/tex]
The minimum possible value of the coefficient of x is 16.59.
Answer:
173
Step-by-step explanation:
For sympliciy let the box equal y.
Expanding the left side we get (a*x+b)(b*x+a) = (a*b*(x)^2 + (a^2 + b^2)x + a*b). Hence we have that (a*b*(x)^2 + (a^2 + b^2)x + a*b) = 26*(x)^2 + x*y + 26. Scince the coefficients of like terms in our equation must be equal, ab=26. Hence (a,b) = (1,26),(26,1),(-1,-26),(-26,-1),(2,13),(13,2),(-2,-13),(-13,-2). Since a^2 + b^2 = y we can see that the only 2 values of y are 677 and 173 (by simply plug in the values of (a,b)), taking the smaller of the two our answer is [173].
Find the total surface area of this triangular prism...
Answer:
144 cm^2
Step-by-step explanation:
8x6+4x10+4x8+4x6
48+40+32+24
80+40+24
120+24
144
x+2y=-6 solve for x?
Answer:
Step-by-step explanation:
x
+
2
y
=
6
Subtract
x
from both sides of the equation.
2
y
=
6
−
x
Divide each term by
2
and simplify.
Tap for more steps...
y
=
3
−
x
2
Answer:
x=2y-6
Step-by-step explanation:
To solve for x, we need to have one more equation, as there are two variables; x and y. But, we can still get it to this point.
First, we need to get x on to one side.
x=-2y-6
That is all we can do from here.
If you provide another corresponding equation, we can solve for x.
Hope this provides some guidance!!
~gloriouspurpose~
Please help me with this. Attention all smart people!!!
Answer: CPCTC
Step-by-step explanation:
because in the step before that it was proved that the triangles were congruent and CPCTC is used after they are proved congruent.
By CPCT [Corresponding Part of congruent Triangle]
<h=<j
hope i helped
-lvr
A bag contains four red marbles, six green marbles, eight yellow marbles, and two blue marbles. Find the probability of drawing a blue marble, replacing it, then drawing a yellow marble
Answer:
1/25
Step-by-step explanation:
The probability of drawing a blue marble, replacing it, then drawing a yellow marble is 1/25.
Given,
A bag contains four red marbles, six green marbles, eight yellow marbles, and two blue marbles.
We need to find the probability of drawing a blue marble, replacing it, then drawing a yellow marble.
What is a combination?A combination is used to select required items from a set where the order of selection does not matter.
It is given by:
n^Cr = n! / r! (n-r)!
Where n = the number of elements present in a set.
Find the number of each marble.
Red marbles - 4
Green marbles - 6
Yellow marbles - 8
Blue marbles - 2
Find the probability of drawing a blue marble
P ( B ) = ^2C_1 / ^20C_1
= (2! / 1!) / (20! / 19! 1!)
= 2 / 20
= 1/10
Find the probability of drawing a yellow marble
P ( Y ) = ^8C_1 / ^20C_1
= (8! / 1! 7!) / (20! / 191 1!)
= 8 / 20
= 2 / 5
Find the probability of drawing a blue marble, replacing it, then drawing a yellow marble
Both the probability is independent so,
P = P ( B ) X P ( Y )
= 1/ 10 X 2 / 5
= 1 / 25
Thus the probability of drawing a blue marble, replacing it, then drawing a yellow marble is 1/25.
Learn more about the probability of two independent events here:
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PLEASE HELPPPP I NEED HELP IM STUCK
Answer:
I cant read that but I think its 1/2
Step-by-step explanation:
Helppp!!!! please!!!
Answer: B. rectangular pyramid
Determine which postulate or theorem can be used to prove that ABC =
DCB.
Pls answer fast
Answer:
B
Step-by-step explanation:
The postulate that can be used to link both triangles is AAS which means Angle Angle side
From the diagram, we can see that we have 2 equal angles and one side in between the two triangles
This means whatever proof we are bringing out is dependent on the two equal angles and the common side between the two triangles
how to do this question plz answer
Answer: 28
Step-by-step explanation:
The shape is grouped into 4 identical parallelograms.
Thus, as the combined area of the figure is 308, you can divide 308/4 to get 77. Thus, each parallelogram has an area of 77.
Then, divide 14/2 to get that the height of each parallelogram is 7.
The area of a parallelogram is l*w. Thus, because l = 7, each parallelogram has a width of 11 because 77/7 = 11.
Then, simply add 11+11+6 to get y.
Hope this helps <3
Help please ASAP :) please give answers to both questions
Answer:
2 cm
10 cm
Step-by-step explanation:
14/7 = 2
This helps to find because area of rectangle = bh or base times height.
A = 1/2 bh
30 = 1/2 b 6
30 = 3b
b = 10
Answer:
b = 2 cm
b = 10 cm
Step-by-step explanation:
Area of a Rectangle: A = lw
Area of a Triangle: A = 1/2bh
We are given area and length, so simply plug it in:
14 = 7w
w = 2 cm
We are given area and height, so simply plug it in:
30 = 1/2(6)(b)
30 = 3b
b = 10 cm
Find the measure of angle b
your answer _____
Answer:
43
Step-by-step explanation:
it looks the same as the other side
The required angle b is 43°.
It is required to find the measure of angle b.
What is angle?In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle and corner whether constituting a projecting part or a partially enclosed space.
Given:
The measure of angle b is 43° due to vertically opposite angle.
Vertically opposite angles are angles that are opposite one another at a specific vertex and are created by two straight intersecting lines. Vertically opposite angles are equal to each other. These are sometimes called vertical angles.
Therefore, the required angle b is 43°.
Learn more details about angle here:
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A shoe maker made 3 new soles every 4 minutes. Another shoe maker made 2 soles every 3 minutes. What was the difference in the number of soles they made in an hour? USE A RATIO OR PROPORTION TO ANSWER THIS PLS.
Answer:
45:40
Step-by-step explanation:
You take the first time and divide 60 by that number (60/4=15) Then you multiply it by the numbers of shoes being created (3*15=45) Repeat this for the other part and you have your answer
which equation has roots of 3plus or minus sqare rt 2?
Answer:
Option D is correct.
The equation with roots 3 plus or minus square root 2 is x² - 6x + 7
Step-by-step explanation:
The roots of the unknown equation are
3 ± √2, that is, (3 + √2) and (3 - √2)
The equation can then be reconstructed by writing these roots as the solutions of the quadratic equation
x = (3 + √2) or x = (3 - √2)
The equation is this
[x - (3 + √2)] × [x - (3 - √2)]
(x - 3 - √2) × (x - 3 + √2)
x(x - 3 + √2) - 3(x - 3 + √2) - √2(x - 3 + √2)
= x² - 3x + x√2 - 3x + 9 - 3√2 - x√2 + 3√2 - 2
Collecting like terms
= x² - 3x - 3x + x√2 - x√2 - 3√2 + 3√2 + 9 - 2
= x² - 6x + 7
Hope this Helps!!!