Answer:
x > 69.49
Step-by-step explanation:
Step 1: Write out equation
2x - 13.7 > 125.28
Step 2: Add 13.7 to both sides
2x > 138.98
Step 3: Isolate x by dividing both sides by 2
x > 69.49
So x has to be greater than 70 in order to fit into the question context.
Answer:
70
Step-by-step explanation:
Let x be the desired integer. Then 2x-13.7>125.28. Adding 13.7 to both sides gives 2x>138.98, and dividing both sides by 2 gives x>69.49. The smallest integer that is greater than 69.49 is [tex]$\boxed{70}$[/tex].
Hope this helped! :)
what does 9! mean in math?
Answer:
9! means 9 factorial
Step-by-step explanation:
9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1
if you help I will mark brainliest! Thank you
Answer: 8.94
Step-by-step explanation:
each side is the [tex]\sqrt{20}[/tex] so multiply that by 2 and you will have 8.94
Which equation describes the line graphed above? A. -4x-5 B. -1/5x-4 C. -5x-4 C. -4x-1/5
The equation is -1/5x-4 represented by the graph. The correct option is B.
What is an equation?The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.
Let us check the equation -1/5x-4. The line goes down one and turns right 5. The Slope is -1/5x and the y-intercept is at -4. The graph of the equation is attached with the answer below.
Hence, option B is correct.
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if paul and Steve are the same height and they are both correct write and equationto represent this relationship put puals expresiion on the left side of the equal sign and steves expression on the right
Answer:
Paul=Steve
Step-by-step explanation:
Answer:
The expression that represents Paul’s height in inches is 3/4t - 16. The expression that represents Steve’s height in inches is 4/3t - 6. Paul and Steve are the same height, so the equation that represents this relationship is
3/2t - 16 = 4/3t - 6
( PLATO/EDMENTUM ANSWER)
Find the local and global extrema for the polynomial function f whose complete graph is provided.
Answer:
your mark is correct
Step-by-step explanation:
The marked answer choice is correct.
(2, -18) is not a global minimum, because there are function values that are lower.
(0, -6) is not a global maximum, because there are function values that are higher.
A global maximum is also a local maximum.*
_____
* More correctly, a global maximum is either a local maximum or the end point of an interval. No intervals are involved in this question.
Sten thinks of a number and gives his friends some clues about it. "My number rounded to the nearest ten, nearest hundred, and nearest thousand gives the same value each time." Which choice is Sten's number? A. 735,619 B. 423,006 C.958,598 D.517,996
Answer:
Option D.
Step-by-step explanation:
Sten thinks of a number and gives his friends some clues about it.
"My number rounded to the nearest ten, nearest hundred, and nearest thousand gives the same value each time."
Number Nearest ten Nearest Hundred Nearest thousand
A. 735,619 735,620 735,600 736,000
B. 423,006 423,010 423,000 423,000
C.958,598 958,600 958,600 959,000
D.517,996 518,000 518,000 518,000
The number 517,996 gives same values after rounded to the nearest ten, nearest hundred, and nearest thousand.
Therefore, the correct option is D.
please help :) Which expression is equivalent to 7 × 7 × 7? A.) 3 times 7 B.) 3 to the 7 power C.) 7 times 7 times 7 times 3 D.) 7 to the 3 power
Answer: D) 7 to the 3 power.
Step-by-step explanation:
Answer:
D. 7 to the 3 power
Step-by-step explanation:
I know I'm very late but dont judge :V
This is also seven t the power of three
Hi, I don't know how to do these, if you could help me answer them, that would be great
Answer:
137°Step-by-step explanation:
From the diagram, mAD lies on the line BDF. Sum of angle on a straight line is 180°. According to the line BDF; mAB + mAD = 180°
From the diagram, mAB = 43°. Substituting this value into the above equation;
mAB + mAD = 180°
43° + mAD = 180°
mAD = 180°-43°
mAD = 137°
Hence, the measure of angle mAD is 137°
What is an equivalent equation for 3 x = 12 minus 4 y when solved for x? X = 4 minus four-thirds y x = 4 + four-thirds y x = negative 4 + four-thirds y x = negative 4 minus four-thirds y
Answer:
[tex]x = 4 - \frac{4}{3}y[/tex]
Step-by-step explanation:
If we have the equation [tex]3x = 12-4y[/tex], we can simplify this equation down.
Divide both sides by 3:
[tex]x = 4 - \frac{4}{3}y[/tex] .
Hope this helped!
Answer:
X = 4 minus four-thirds y
Step-by-step explanation:
Well to solve for x we single it out.
3x = 12 - 4y
Divide 3 by everything,
x = 4 - 4/3y
Thus,
X = 4 minus four-thirds y.
I do hope this helps :)
Please answer this now in two minutes
Answer:
x = 6.6
Step-by-step explanation:
Data obtained from the question include the following:
Angle X = 15°
Angle Y° = 23°
Side y = 10
Side x =..?
The value of side x can be obtained by using the sine rule as shown below:
x/Sine X = y/Sine Y
x/Sine 15 = 10/Sine 23
Cross multiply
x × Sine 23 = 10 × Sine 15
Divide both side by Sine 23
x = (10 × Sine 15) / Sine 23
x = 6.6
Therefore, the value of x is 6.6.
Use Descartes' Rule of Signs to find the number of possible positive real roots and the number of possible negative real roots for the function f(x) = x^4+ 2x^3-3x^2- 8x - 4.
a positive 1; negative 3 or 1
b. positive 1; negative 3 or 5
C. positive 3; negative 3 or 1
d. positive 3; negative 3 or 5
Answer:
a positive 1; negative 3 or 1
Step-by-step explanation:
To determine the number of positive roots, we have to determine the number of sign changes for f(x) = x⁴ + 2x³ - 3x² - 8x - 4.
The coefficients in f(x) are +1, +2, -3, -8, -4.
Since there is only one sign change from +2 to -3, we have 1 positive root.
To determine the number of negative roots, we have to determine the number of sign changes for f(-x) = (-x)⁴ + 2(-x)³ - 3(-x)² - 8(-x) - 4 = x⁴ - 2x³ - 3x² + 8x - 4
The coefficients in f(-x) are +1, -2, -3, +8, -4.
Since there is three sign change from +1 to -2, from -3 to +8, and from +8 to -4. So,we have 3 or 1 negative root, since the number of negative roots is equal to the number of sign changes or an even number less than the number of sign changes. So, 3 -2 = 1
So, the number roots are of positive 1; negative 3 or 1
Answer:
a.positive 1; negative 3 or 1
Step-by-step explanation:
EDGE 2020
Find the y-intercept and the axis of symmetry of f(x)=ax2+2ax+3.
Answer:
[tex] y= cx^2 +dx +e[/tex]
We see that:
[tex] c = a, d= 2a , e= 3[/tex]
The axis of symmetry is defined by this formula:
[tex] X= - \frac{d}{2c}[/tex]
And replacing we got:
[tex] X= -\frac{2a}{2a}= -1[/tex]
Thn the axis of symmetry would be X=-1
Step-by-step explanation:
For this case we have the following function:
[tex] y = ax^2 +2ax +3[/tex]
If we compare this function with the general expression of a quadratic formula given by:
[tex] y= cx^2 +dx +e[/tex]
We see that:
[tex] c = a, d= 2a , e= 3[/tex]
The axis of symmetry is defined by this formula:
[tex] X= - \frac{d}{2c}[/tex]
And replacing we got:
[tex] X= -\frac{2a}{2a}= -1[/tex]
Thn the axis of symmetry would be X=-1
513 to the nearest 100
Answer:
500
Step-by-step explanation:
Answer:
500
Step-by-step explanation:
Is (0, 3) a solution to the following system?
Y=-x+3
Y=2x-3
A No, because it does not check in either equation.
B. No, because it does not check in the first equation.
C. No, because it does not check in the second equation.
D. Yes, because it checks in both equations.
Solve each equation with (0, 3)
y = -x + 3
3 = -0 + 3
y = 3 (correct since y = 3 in (0, 3))
y = 2x - 3
3 = 2(0) - 3
3 = 0 - 3
3 = -3 (incorrect since it isn't equal)
So... No, because it does not check in the second equation.
Best of Luck!
The physical plant at the main campus of a large state university recieves daily requests to replace florecent lightbulbs. The distribution of the number of daily requests is bell-shaped and has a mean of 61 and a standard deviation of 11. Using the empirical rule (as presented in the book), what is the approximate percentage of lightbulb replacement requests numbering between 61 and 94?
Answer:
P(61≤ X≤94) = 49.85%
Step-by-step explanation:
From the given information:
The mean of the bell shaped fluorescent light bulb μ = 61
The standard deviation σ = 11
The objective of this question is to determine the approximate percentage of light bulb replacement requests numbering between 61 and 94 i.e P(61≤ X≤94)
Using the empirical (68-95-99.7)rule ;
At 68% , the data lies between μ - σ and μ + σ
i.e
61 - 11 and 61 + 11
50 and 72
At 95%, the data lies between μ - 2σ and μ + 2σ
i.e
61 - 2(11) and 61 + 2(11)
61 - 22 and 61 +22
39 and 83
At 99.7%, the data lies between μ - 3σ and μ + 3σ
i.e
61 - 3(11) and 61 + 3(11)
61 - 33 and 61 + 33
28 and 94
the probability equivalent to 94 is when P(28≤ X≤94) =99.7%
This implies that ,
P(28≤ X≤94) + P(61≤ X≤94) = 99.7%
P(28≤ X≤94) = P(61≤ X≤94) = 99.7 %
This is so because the distribution is symmetric about the mean
P(61≤ X≤94) = 99.7 %/2
P(61≤ X≤94) = 49.85%
What is the value of 3x squared when x = 2?
Answer:
Step-by-step explanation:
[tex](3x)^{2}[/tex]=[tex](3(2))^{2}[/tex] =36
(OR)
3([tex]x^{2}[/tex])=3(4)=12
Its depend on your sentence structure, what u r asking!!
The value of 3x squared when x = 2 is 36.
Given expression [tex](3x)^2[/tex].
We have to calculate the value of this at [tex]x=2[/tex].
Now putting the value of x in the expression we get,
[tex](3\times2)^{2}[/tex]
Or,[tex]6^{2}[/tex]
[tex]36[/tex]
Hence the value of [tex](3x)^2[/tex] at [tex]x=2[/tex] will be 36.
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URGENT
What else would need to be congruent to show that AABC= ADEF by the
AAS theorem?
Answer:
AC = EF
Step-by-step explanation:
ABC = DEF
You would need to know that AC = EF
In the first place, using deduction we know that we dont need another angle. We also know that BC does not equal DF by looking at the angles on the triangles.
The solution is : ∠C ≅ ∠F is congruent to show that ΔABC ≅ ΔDEF, else would need to be congruent to show that AABC= ADEF by the AAS theorem.
What is AAS theorem?The angle-angle-side theorem, or AAS, tells us that if two angles and a non-included side of one triangle are congruent to two angles and a non-included side of another triangle, then the triangles are congruent.
here, we have,
to find congruency in a triangle:
ΔABC ≅ ΔDEF
Therefore,
AAS congruence rule or theorem states that if two angles of a triangle with a non-included side are equal to the corresponding angles and non-included side of the other triangle, they are considered to be congruent.
Therefore,
∠C ≅ ∠F
Hence, The solution is : ∠C ≅ ∠F is congruent to show that ΔABC ≅ ΔDEF, else would need to be congruent to show that AABC= ADEF by the AAS theorem.
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P = e f e = 4.8 correct to 2 significant figures. f = 0.26 correct to 2 significant figures. Work out the lower bound for the value of P . Give your answer correct to 3 significant figures. (2 marks)
Answer:
Step-by-step explanation:
P = efe =4.8
f =0.26
substitute the value of P and f into the equation to obtain the value of e
4.8 = e*0.26*e
4.8 = 0.26*e^2
make e^2 the subject of the formula
e^2 =4.8/0.26 =18.62
find the square root of e
e =[tex]\sqrt{x} 18.46\\[/tex]
e = 4.3
Lower bound of P = 4.8 - 4.79 = 0.01
Job A3B was ordered by a customer on September 25. During the month of September, Jaycee Corporation requisitioned $3,200 of direct materials and used $4,700 of direct labor. The job was not finished by the end of September, but needed an additional $3,700 of direct materials and additional direct labor of $7,900 to finish the job in October. The company applies overhead at the end of each month at a rate of 150% of the direct labor cost incurred. What is the balance in the Work in Process account at the end of September relative to Job A3B?
Answer: $14,950
Step-by-step explanation:
Given: Cost of Direct Materials = $3,200
Cost of direct labor = $4,700
Overhead rate = 150%
So, Overhead cost = 150% x (Total direct labor cost)
= $(150% x 4,700) =$ ( 1.5 x 4,700) [150% = 1.5]
= $7,050
Work in Progress = Direct Materials + Direct labor + Overhead
= $(3,200+4,700+7,050)
=$14,950
Hence, the balance in the Work in Process account at the end of September relative to Job A3B = $14,950
Find the sum of two consecutive odd numbers is 56 find the numbers
Answer:
[tex]\boxed{\sf 27 \ and \ 29}[/tex]
Step-by-step explanation:
Let the first consecutive odd integer be [tex]\sf x[/tex].
Let the second consecutive odd integer be [tex]\sf x+2[/tex].
The sum of the two numbers is 56.
[tex]\sf x+x+2=56[/tex]
[tex]\sf 2x+2=56[/tex]
[tex]\sf 2x=54[/tex]
[tex]\sf x=27[/tex]
Put x as 27 for the second consecutive odd integer.
[tex]\sf 27+2=29[/tex]
The two numbers are 27 and 29.
Simplify this problem. |3r−15| if r<5
Answer:
We have the problem:
|3r−15| if r<5
First we see the equality, if r = 5 we have:
I3r - 15I = I3*5 - 15I = I0I = 0.
Then the only restriction that we have is:
I3r - 15I > 0.
now, we could simplify it a bit further:
if r < 5, then the thing inside the absolute value will always be negative:
Then we can write:
I3*r - 15I = -(3*r -15) > 0
multiplying by -1 in both sides
(3r - 15) < 0.
if we keep simplifying this, we will get our initial restriction:
3r - 15 < 0
3r < 15
r < 15/3 = 5
r < 5
Please help me with this question ASAP!
Answer:
The fourthStep-by-step explanation:
[tex]x^2+y^2-14x+10y+25=0\\\\x^2-14x\ +\ y^2+10y+25=0\\\\\underline{x^2-14x+49} -49+\underline{y^2+10y+25}=0\\\\\underline{x^2-2\cdot x\cdot7+7^2}-49+\underline{y^2+2\cdot y\cdot5+5^2}=0 \\\\\underline{(x-7)^2}-49+\underline{(y+5)^2}=0\\\\\underline{\underline{(x-7)^2+(y+5)^2=49}}[/tex]
2
What is the solution of the equation 6x - 3 = -51?
A. -9
B. -8
c. 8.
D. 9
Answer:
x = -8
Step-by-step explanation:
6x - 3 = -51
Add 3 to each side
6x - 3+3 = -51+3
6x = -48
Divide each side by 6
6x/6 = -48/6
x = -8
Parallelogram L M N O is shown. Angle L is (x + 40) degrees and angle O is (3 x) degrees. What is the measure of angle O in parallelogram LMNO? 35° 75° 105° 155
Answer:
C, 105 Degrees
Step-by-step explanation:
So the two opposite sides of a parallelogram is equal to each other and the two adjacent angles are supplementary. So if (x+40)+3x=180, this means that 4x+40=180. This gives us 4x=140, so x=35. If we plug it back into the equation it ascertains as such: 3(35)= 105. The answer for this question and angle O is 105 degrees, or C.
The measure of angle O in this parallelogram is 105°.
The properties of a parallelogramThe opposite angles of a parallelogram are equal.The Opposite sides of the parallelogram are equal and parallel.The diagonals of the parallelogram bisect each other.The Sum of the angles = 360°
Solution
Because the properties says that opposite angles are equal.
Angle L = (x + 40)
angle O = (3 x)
Applying the first property
x+40+x+40+3x+3x = 360
collect the like termsx+x+3x+3x+40+40 = 360
8x+80 = 360
8x = 360-80
8x = 280
Divide through the equation by 8
x = 280/8
x = 35
The question wants us to find the value of angle O
O = 3x
O = 3*35
= 105
The value of angle O is equal to 105°
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Forty-nine is subtracted from a number. The difference is divided by 11. The quotient is 3. What is the number?
Answer:
N = 82
Step-by-step explanation:
(N - 49)/11 = 3
N - 49 = 33
N = 82
Which of the following is a like radical to 3x sqrt 5
Answer:
The last option
Step-by-step explanation:
Source: Trust bro
Answer:
d) y sqrt 5
Step-by-step explanation:
radicals are like if they have the same index and radicand, here they are both square roots and have a radicand of five
The marked price of a watch is 30% above the cost price. When it is sold allowing
20% discount on it, there is a gain of Rs 150. Find the marked price of watch.
Answer:
The marked price = Rs 4,475.
Step-by-step explanation:
Let the marked price of the watch = x
Let the cost price of the watch = y
The given information are;
The marked price of the watch = 30% above the cost price
The discount when it was sold = 20%
The gain when it was sold = Rs 150
Therefore, we have marked price = y + 30/100×y = y + 0.3·y = 1.3·y
The selling price with 20% discount is therefore, 1.3·y - 0.2×1.3·y
The selling price = 1.04·y
The gain = Selling price - cost price = 1.04·y - y = 0.04·y
Rs 150= 0.04·y
y = Rs 150/0.04 = Rs 3,750
Therefore, the marked price = 1.3×y = 1.3×3,750 = Rs 4,875
The marked price = Rs 4,475.
Look at triangle ABC
A (4.5)
5
4
3
2
1
B (2.2)
C (4.2)
1
5 -4 -3 -2 -1 0
1
23
4
5
-1
N
-3
-4
5
What is the length of side AB of the triangle?
A) 3
B) 5
C) square root of 6
D) square root of 13
Answer:
[tex] \sqrt{13} [/tex]Option D is the correct option.
Step-by-step explanation:
Given,
A ( 4, 5 ) , B ( 2 , 2 ) , C ( 4 , 2 )
Let,
A ( 4 , 5 ) → ( x1 , y1 )
B ( 2 , 2 ) → ( x2 , y2 )
Now, finding the length of AB
Use the distance formula to find the length of AB
[tex] = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } [/tex]
plug the values
[tex] = \sqrt{ {(2 - 4)}^{2} + {(2 - 5)}^{2} } [/tex]
Calculate the difference
[tex] = \sqrt{ {( - 2)}^{2} + {( - 3)}^{2} } [/tex]
Evaluate the power
[tex] = \sqrt{4 + 9} [/tex]
Add the numbers
[tex] = \sqrt{13} [/tex]
Hope this helps..
Best regards!!
A box contains 5 blue, 4 red, and 3 yellow marbles. Two marbles are randomly drawn and not replaced. What is the probability of drawing a blue then a red marble?
Answer:
5/33
Step-by-step explanation:
5/12 * 4/11 = 20/132 = 10/66 = 5/33
Find the equation of the line.
Answer:
y = 2x + 4
Step-by-step explanation:
y = mx + b
b = y-intercept = 4
m = slope = rise/run = 4/2 = 2
y = 2x + 4