Identify the method that will be used to solve for x for each equation.
4x = 20
X - 11 = 9
5x + 6x = 22
5 (x - 2) = 30
Answer:
Identify the method that will be used to solve for x for each equation.
4x = 20
✔ division property of equality
x – 11 = 9
✔ addition property of equality
5x + 6x = 22
✔ combining like terms
5(x – 2) = 30
✔ distributive property
Step-by-step explanation:
If 4x— 3 = 2x + 9, then x = ?
x=6
x=2
x=1
x=3
Answer:
x=6 is the answer
Step-by-step explanation:
4x-3=2x+9
adding 3 on both sides
4x-3+3=2x+9+3
4x=2x+12
subtracting 2x on both sides
4x-2x=2x-2x+12
2x=12
dividing 2 on both sides
2x/2=12/2
x=6 is the answer.
hope it will help you :)
Step-by-step explanation:
4x - 3 = 2x + 9
Bringing like terms on one side
4x - 2x = 9 + 3
2x = 12
x = 12/ 2
x = 6
· Expand and simplify (x - 2)(x + 7)
Answer:
Expand:
x^2+7x-2x-14
Answer:
x^2+5x-14
Step-by-step explanation:
Help and thank you The areas of the squares adjacent to two sides of a rigtj triangle are shown below.
Answer:
85 units²
Explanation:
By the Pythagorean theorem, in a right triangle, the area of the square adjacent to the largest side is equal to the sum of the areas of the squares adjacent to the other two sides.
So, the area of the square adjacent to the third side of the triangle is equal to:
35 units² + 50 units² = 85 units²
Then, the answer is 85 units²
cosec2a+cosec4a=cota-cot4a
Answer: Cosec 2 A + Cot 4 A = Cosec 4 A - Cot 2 A
Step-by-step explanation:
Taking LHS :
⇒Cosec 2 A + Cot 4 A
⇒Cosec 2 A + ( Cot 2 A )2
⇒Cosec 2 A + ( Cosec 2 A - 1 )2 ( we know : 1 + Cot 2 θ = Cosec 2 θ )
⇒Cosec 2 A + Cosec 4 A + 1 - 2 Cosec 2 A
⇒ Cosec 4 A + 1 - Cosec 2 A
⇒ Cosec 4 A + 1 - ( 1 + Cot 2 A)
⇒ Cosec 4 A + 1 - 1 - Cot 2 A
⇒ Cosec 4 A - Cot 2 A
or cosec2A+cosec4A=cotA-cot4A
Which figure is described below?
Answer:
Answer option "A" : line.
Step-by-step explanation:
The trace formed by the collection of all points equidistant from (-5, -6) and (-5, 7) describe a horizontal line with equation y = 1/2.
Therefore the answer option "A" is the correct one.
Can someone help me with this pleaseeeeee
The values of x, y , and z in the matrix equation is 3, 4, 0 respectively.
What is the solution of the matrix equation?The solution of the matrix equation is calculated by applying Cramer's rule as shown below;
[ 1 1 -1 ] [ 7 ]
[ 2 3 0 ] [ 18 ]
[ -5 -7 -1 ] [ -43 ]
The determinant of the matrix is calculated as follows;
[ 1 1 -1 ]
[ 2 3 0 ]
[ -5 -7 -1 ]
Δ = 1 (-3 - 0) - 1(-2 - 0 ) - 1(-14 + 15)
Δ = -2
The x determinant of the matrix is calculated as follows;
[ 7 1 -1 ]
[ 18 3 0 ]
[ -43 -7 -1 ]
Δx = 7 (-3 - 0) - 1 (-18 - 0 ) - 1(-126 + 129)
Δx = -6
The y determinant of the matrix is calculated as follows;
[ 1 7 -1 ]
[ 2 18 0 ]
[ -5 -43 -1 ]
Δy = 1 (-18 - 0 ) - 7(-2 - 0 ) -1(-86 + 90)
Δy = -8
The z determinant of the matrix is calculated as follows;
[ 1 1 7 ]
[ 2 3 18 ]
[ -5 -7 -43]
Δz = 1 (-129 + 126) - 1(-86 + 90) + 7(-14 + 15)
Δz = 0
The values of x, y , and z is calculated as;
x = Δx/Δ = -6/-2 = 3
y = Δy/Δ = -8/-2 = 4
z = Δz/Δ = 0/-2 = 0
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Mary is wanting to put artificial turf in her backyard.Her yard is 20 feet by 30 feet.She figures that she I’ll need the drainage rock under the turf to be 1 foot deep.She goes to the home improvement store and sees the following signs for rock. What is the rate that brand a is selling for? Give the rate and then specify the unit rate.Need this fast
1. The rate that Brand A is selling for is A) 10-unit rate.
2. The unit rate of Brand A is $0.10 per pound.
What is the unit rate?The unit rate refers to the variable cost per unit or the quotient of a division operation.
The unit rate shows a value's ratio in relation to another.
To compute the unit rate, we can use the division operation that makes the denominator the dividend, which is divided by the numerator (or divisor).
The quantity in Brand A = 20 pounds
The quantity in Brand B = 60 pounds
Cost of Brand A = $2
Cost of Brand B = $5
The unit rate for Brand A = $2/20 = $0.10, which can also be expressed as 10 units for $1 (20/$2).
Likewise, the unit rate for Brand B = $5/60 = $0.83, which we can describe as 12 units for $1 (60/$5).
Thus, we can conclude that the rate at which Brand A is selling is Option A.
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Question Completion attached with Answer Options:Answer Options:
A) 10-unit rate
B) 12-unit rate
C) 9-unit rate
D) 8-unit rate
Each number in the sequence below has the same relationship to the number immediately
befor it.
ny
4, 8, 16, 32, 64,...
How can the next number in the sequence be found?
A. By adding 4 to 64
B. By adding 16 to 64
C. By multiplying 64 by 2
D. By multiplying 64 by itself
Answer:
C. By multiplying 64 by 2Explanation:
64 = 32×2
32 = 16×2
16 = 8×2
8 = 4×2
(so 128 is the next number)
Answer:
c by multiplying 64 by 2
Step-by-step explanation:
in the sequence we can see that 4×2=8 8×2=16 16×2=32 32×2=64 64×2=128
Pick the digit in the one billion place 263,136,816,799
Answer: 3
3,000,000,000
Step-by-step explanation:
Billions have 9 zeros
Answer:
the digit is 6
263,136,816,799
|
Step-by-step explanation:
i put a line below which 6 it is hope this helps!
Can someone please explain how to do this.
Answer: 9/30
Step-by-step explanation:
Acrylic bone cement is sometimes used in hip and knee replacements to secure an artificial joint in place. The force required to break an acrylic bone cement bond was measured for seven specimens, and the resulting mean and standard deviation were 306.07 newtons and 41.96 newtons, respectively. Assuming that it is reasonable to believe that breaking force has a distribution that is approximately normal, use a 95% confidence interval to estimate the mean breaking force for acrylic bone cement. (Round your answers to three decimal places.)
The required 95% confidence interval for the mean breaking force of acrylic bone cement is approximately 267.29 to 344.85 newtons.
Find the critical value (t*) for a 95% confidence level and (n - 1) degrees of freedom.
The degrees of freedom (df) is equal to the sample size minus 1 (df = 7 - 1 = 6). From a t-table or statistical software, the critical value for a 95% confidence level and df = 6 is approximately 2.447.
Calculate the standard error of the mean (SE).
The standard error of the mean is given by SE = (sample standard deviation) / sqrt(sample size).
\(SE =\dfrac{41.96}{\sqrt{7}}\)
≈ 15.85
Calculate the margin of error (MoE).
The margin of error is MoE = (t*) * SE.
MoE ≈ 2.447 * 15.85
≈ 38.78
Calculate the confidence interval.
The confidence interval is given by: Mean ± MoE.
Mean ± MoE ≈ 306.07 ± 38.78
Calculate the lower and upper bounds of the confidence interval.
Lower bound ≈ 306.07 - 38.78
= 267.29
Upper bound ≈ 306.07 + 38.78
= 344.85
Therefore, the 95% confidence interval for the mean breaking force of acrylic bone cement is approximately 267.29 to 344.85 newtons.
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The points (2,4), (3,9), (7,8), and (6,3) form a quadrilateral. Graph the quadrilateral,
and classify it.
Answer:
I believe it's a parallelogram.
Step-by-step explanation:
So a parallelogram has opposite sides congruent which when plotting the points opposite sides are the same length which makes it a parallelogram. In addition the opposite sides are parallel also which also justifies how the shape is a parallelogram.
The quadrilateral is a parallelogram because it has two pairs of parallel sides and the opposite sides are equal.
To find the distance between (-2,-3) and (4,1), Peggy's teacher drew a diagram and marked blue lines to represent the legs of a right triangle. Peggy then used 42 and 62 to find the distance represented by the red segment. What distance did she find ?
A √114
B √52
C 2020
D 5252
E 25
By using the formula for the distance we will see that the correct option is B:
√52
What distance did she find?
We will use the general formula to find the distance between two points (a, b) and (c, d)
it is:
distance = √( (a - c)^2 + (b - d)^2)
Here we want to find the distance between the points (-2,-3) and (4,1), if we use the above formula we will get:
distance = √( (-2 - 4)^2 + (-3 - 1)^2) = √( 36 + 16)
distance = √52
The correct option is B.
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Find the missing angles.
with solution
Hello!
y = 88° (opposite are equal)
z = 180° - 128° = 52° (straight angle = 180°)
x = 180° - 140° = 40° (straight angle = 180°)
Answer:
x=40°
y=88°
z=52°
Step-by-step explanation:
Solution Given:
x+140°=180°
Since the sum of the angle of a linear pair or straight line is 180°.
solving for x.
x=180°-140°
x=40°
\(\hrulefill\)
y°=88°
Since the vertically opposite angle is equal.
therefore, y=88°
\(\hrulefill\)
z+128°=180°
Since the sum of the angle of a linear pair or straight line is 180°.
solving for z.
z=180°-128°
z=52°
Please help it’s URGENT!
The least common denominator needed to solve the equation is given as follows:
D. x(x - 3).
How to obtain the least common denominator?The equation in this problem is given as follows:
1/x + 2/(x - 3) = 5.
The denominators of each expression are given as follows:
x.x - 3.x and x - 3 are not factors of each other, hence we multiply them and the least common denominator needed to solve the equation is given as follows:
D. x(x - 3).
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Find the probability of getting 2 or 4 or 6 when a dice is rolled
Answer:
The probability of getting a 2, 4, or 6 when a dice is rolled is 1/2, or 50%. This is because there are six possible outcomes when a dice is rolled, and three of them are favorable outcomes (2, 4, or 6). Therefore, the probability of getting a 2, 4, or 6 is 3/6, which simplifies to 1/2 or 50%.
What is the correct answer for this
The smallest to the largest side is SQ, RS, QR, the correct option is B.
What is a Triangle?A triangle is a polygon with three sides, angles, and vertices.
The triangle is classified into various types on the basis of the angle and on the basis of the equality of the length of the sides, as obtuse, acute and right-angled triangle and scalene, isosceles and equilateral triangle.
The measure of angle of the triangle is 56°, 83°, and 41°.
From the property of the triangle, the side opposite the bigger measure angle is the largest.
The measure of angle QRS is 41°, angle RQS is 56°, and angle QSR is 83°.
The smallest side will be the side opposite to QRS, i.e. SQ,
The largest side will be the side opposite to QSR, i.e. QR
The side in order from the smallest to the largest, SQ, RS, QR.
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A wire 18 cm long is cut into two pieces. The longer piece is 6 cm longer than the shorter piece.
Find the length of the shorter piece of wire
Lines a and b intersect at point U as shown in the diagram below, U (x+10) (4x-35) R. T Which equation can be used to calculate the measure of _QUR? O O (4.1 – 35) + (23 + 10) 180 RES G OB (22+ 10) = (4x - 35) O c (2+10) - (4x - 35) = 90
Answer:
(2+10) – (4x – 35) = 90
Step-by-step explanation:
Lines a and b intersect at point U as shown in the diagram below, U (x+10) (4x-35) R. T Which equation can be used to calculate the measure of _QUR? O O (4.1 – 35) + (23 + 10) 180 RES G OB (22+ 10) = (4x – 35) O c
Which equation is represented by the number line?
-10 -8 -6 -4 -2
0 2 4 6 8 10
Answer:
+2
Step-by-step explanation:
all its doing is adding 2 lol
pls mark brainliest
In a factory, a sample of 40 light bulbs was selected from a box of 1,000 light bulbs. In the sample, 2 light bulbs would not work. Based on this sample, how many non-working light bulbs would be expected in the group of 1,000 light bulbs?
The number of non-working light bulbs that would be expected in the group of 1,000 light bulbs is: 50 bulbs
How to find the probability of selection?In survey sampling, the term probability of selection is one that refers to the chance (i.e. the probability from 0 to 1) that a member (element) of a population can be chosen for a given survey.
We are told that a sample of 40 bulbs were picked from a box of 1000 bulbs and it was discovered that 2 of the bulbs were not working. Thus:
Fraction of bulbs not working = 2/40 = 0.05
Thus, number of bulbs not working in a sample of 1000 bulbs is:
0.05 * 1000 = 50 bulbs
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Lily invested $60,000 in an account paying an interest rate of 6 1 2 6 2 1 % compounded continuously. Lydia invested $60,000 in an account paying an interest rate of 6 1 8 6 8 1 % compounded monthly. To the nearest hundredth of a year, how much longer would it take for Lydia's money to triple than for Lily's money to triple?
Using interest equations, it is found that it will take 1.08 year more for Lydia's money to triple than for Lily's.
What is compound interest?The amount of money earned, in compound interest, after t years, is given by:
\(A(t) = P\left(1 + \frac{r}{n}\right)^{nt}\)
In which:
A(t) is the amount of money after t years. P is the principal(the initial sum of money). r is the interest rate(as a decimal value). n is the number of times that interest is compounded per year. t is the time in years for which the money is invested or borrowed.What is the amount in continuous compounding?It is given by:
\(A(t) = Pe^{rt}\)
For Lily, the parameters are as follows: r = 0.065, with continuous compounding. The time to triple is t for which A(t) = 3P, hence:
\(A(t) = Pe^{rt}\)
\(3P = Pe^{0.065t}\)
\(e^{0.065t} = 3\)
\(\ln{e^{0.065t}} = \ln{3}\)
\(0.065t = \ln{3}\)
\(t = \frac{\ln{3}}{0.065}\)
\(t = 16.90\).
For Lydia, using compound interest, the parameters are: r = 0.06125, n = 12, hence:
\(A(t) = P\left(1 + \frac{r}{n}\right)^{nt}\)
\(3P = P\left(1 + \frac{0.06125}{12}\right)^{12t}\)
\((1.00510416667)^{12t} = 3\)
\(\log{(1.00510416667)^{12t}} = \log{3}\)
\(12t\log{(1.00510416667)} = \log{3}\)
\(t = \frac{\log{3}}{12\log{(1.00510416667)}}\)
\(t = 17.98\)
17.98 - 16.9 = 1.08, hence, it will take 1.08 year more for Lydia's money to triple than for Lily's.
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Three friends compare the balances in their checking accounts.
The balance in Al's account is $32.60.
The balance in Dee's account is 34 the balance in Al's account.
The balance in Zac's account is $49.08 less than the balance in Dee's account.What is the balance in Zac's account?
Answer:
34%
Step-by-step explanation
34% (I believe)
what does 3x(4y-7) = ?
Answer: 12xy - 21x
Step-by-step explanation:
Answer:
5 i think the explanation is at the bottom if i'm right please star
Step-by-step explanation:
3x4-7=5
The results of a political poll indicate that the leading candidate will receive 52% of the votes with a margin of error of no more than 5%. Let x represent the true percentage of votes received by this candidate. Write an absolute value inequality that represents an interval in which to estimate x.
Select one:
a. |x - 52| ≥ 0.05
b. |x - 52| ≤ 0.05
c. |x - 0.05| ≥ 52
d. |x - 0.05| ≤ 52
The absolute value inequality that models the function is given by:
b. |x - 0.52| ≤ 0.05Absolute value:The absolute value function measures the distance of a point to the origin, and is defined by:\(|x| = x, x \geq 0\)
\(|x| = -x, x < 0\)
In this problem, the leading candidate will receive 52% of the votes with a margin of error of no more than 5%. Hence, the difference between his percentage of votes x and 0.52 should be at most plus/minus 0.05, that is:
\(|x - 0.52| \leq 0.05\)
Hence, option b is correct.
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The height (in feet) of a rocket from ground level is given by the function f(t) = -16t² + 220t. What is the instantaneous velocity of the rocket 12 seconds after its launch?
-32t + 220
= -32(12) + 220
-384 + 220 =
-164
first step is to take the derivative. next is to plug in 12 into the function
The graph of which of the following equations has a slope of -and an x-intercept of
(-6,0)?
A y=-x-6
B. y = − ½ x − 3
-
C. y = -x +3
D. y = -x +6
The answer is A
\(y = - x - 6 \\ 0 = - x - 6 \\ x = - 6\)
so x intercept : (-6,0)
and slope is negative
Hope it helps
Please give brainliest
The equation of line which a slope is -1 and an x-intercept of (-6,0) will be;
⇒ y = - x - 6
What is Equation of line?The equation of line in point-slope form passing through the points (x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
The slope of the line = - 1
And, The x-intercept = (- 6, 0)
Now,
Let the equation of line;
⇒ y = - x - 6
Slope (m) = dy/dx = - 1
And, The x - intercept is find as;
Put y = 0;
⇒ y = - x - 6
⇒ 0 = - x - 6
⇒ x = - 6
Thus, The correct equation is,
⇒ y = - x - 6
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i
dont
get
this
help
rn
Answer:
6 first box. 12 second box. 21 third box. 10 fourth box. 4 fifth box.
Step-by-step explanation:
Look for common denominaters, that will show you what to multiply the equation by to get rid of fractions.
compute the products in exercises 1\[dash]4 using (a) the definition, as in example 1, and (b) the row\[dash]vector rule for computing a x. if a product is undefined, explain why.
1) product is not defined.
2) product is undefined.
3) [ -9 ]
[ 5 ]
[ -11 ]
Explanation:
1) product is not defined.
because no of column of 1st matrix (2) is not same as no of row of second matrix.(3)
2) product is undefined.
because no of column of 1st matrix (1) not same as no of row of second matrix (2).
3) [ 6 5 ] [ 6 -15 ] [ 9 ]
[ -4 -3 ] X [ 1 ] = [ -4 +9 ] = [ 5 ]
[ 7 6 ] [ -3 ] [ 7 -18 ] [ -11 ]
A matrix is a rectangular array of numbers (or other mathematical objects) that defines operations like addition and multiplication. A matrix over a field F is typically a rectangular array of scalars, each of which is a member of F.
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