Carter solved the equation, 7(n−4)=28, for n. When he submitted his work, his teacher said that one of his justifications was incorrect.

In which step is Carter's justification incorrect?

Step Justification
1. 7(n−4)=28
Given
2. 7n−28=28
Distributive Property
3. 7n=56
Addition Property of Equality
4. n=8
Multiplication Property of Equality

Answer:

3 m^3 - 26 m^2 + 45 m - 70

Step-by-step explanation:

Applying distributive property we get:

3 m^3 - 5 m^2 + 10 m - 21 m^2 + 35m - 70

combining like terms:

3 m^3 - 26 m^2 + 45 m - 70

Answer:

,jzdj ,z mcjdjccbjbzn

Step-by-step explanation:

Answer:

C. x=12

Step-by-step explanation:

Angles in a triangles add up to 180 degrees. We are given that one angle is a right angle which means it's 90 degrees so...

2x+1+5x+5+90=180

Add like terms

96+7x=180

Subtract 96 from both sides

7x=84

Divide both sides by 7

x=12

Answer:

\(x^3y^{12}\)

Step-by-step explanation:

\(\left(xy^4\right)^3\\\left(xy^4\right)^3=x^3\left(y^4\right)^3\\=x^3\left(y^4\right)^3\\=(y^4)^3\\=(y)^{4\times 3}\\= y^{12}\\= x^3y^{12}\)

\(\textsf{Hi Brainy User, I'm Here to Help you!}\)

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

\(\textsf{By using the \textbf{Exponent Property}, we can simplify this.}\)

\(\textsf{This is what it states:}\)

\(\sf{(x^m)^n=x^{(m*n)}}\)

\(\textsf{Multiply:}\)

\(\sf{(xy^4)^3=x^3y^{3*4}=x^3y^{12}}\)

\(\Large\overbrace{\underbrace{\boldsymbol{\rm{Reflection - RoSe}}}}^\star_\star\)

The biconditional statement is: A rectangle is a parallelogram with four right angles if and only if a parallelogram has four right angles.

The term "if and only if" or biconditional statement refers to a compound statement composed of two conditional statements connected by a logical operator.

This definition is commonly utilized to describe the characteristics of a rectangle when it comes  to its correlation with a parallelogram. The opening section of the biconditional statement is comprised of a conditional statement indicating that a rectangle is defined as a parallelogram featuring four right angles.

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Write this definition as a biconditional statement.

A rectangle is a parallelogram with four right angles.

Answer:

P=42cm

Step-by-step explanation:

Solution: P =4a = 4 x 10.5 = 42cm

Answer:

y=mx+b

y=2/3+12.65

Answer:

311 I ALREADY TOKK THIS TEST

Step-by-step explanation:

2916 ft³

Volume helps describe the amount of space that a shape takes up.

Volume of a Sphere

Volume describes the 3-dimensional size of a shape. Since volume is a 3-D measurement, the units should be cubed; this explains why the answer is given in feet cubed. In order to find the volume, we need to use the radius. The radius of a sphere is the distance from the center to the outside. In this case, we are told that the radius is 9 ft.

Volume Formula

Every regular shape has its own volume formula. For a sphere, the formula is:

So, to find the volume, all we need to do is plug in the radius. For this sphere, r = 9.

When using 3 for pi, the volume of the sphere is 2916 ft³.

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

SAT SCORE :

421

375

585

693

608

392

418

484

725

506

613

706

366

GPA:

2.93

2.87

3.03

3.42

3.66

2.91

2.12

2.50

3.24

1.97

2.73

3.88

1.58

Using the online linear regression calculator ; the regression model obtained is :

ŷ = 0.00345X + 1.00301

0.00345 = slope or gradient

1.00301 = intercept ; where the regression line crosses the y axis

X = independent variable or predictor variable ; y = dependent variable or predicted variable

The graph of the option in the question has a domain of -∞ < x < 3.5.

The domain of a graph are the possible x-values that can be obtained from the graph.

A graph that has a domain given by the inequality, -∞ < x < ∞ does not have a vertical asymptote.

An asymptote is a straight line to which a graph approaches, as either the x or y-value approaches infinity.

The given graph has a vertical asymptote at y ≈ 3.5

The domain of the given graph is therefore, -∞ < x < 3.5

Similarly, the graph has a horizontal asymptote at x ≈ 3

The range of the given graph is therefore, -∞ < y < 3.

A graph that has a domain of -∞ < x < ∞, extends to infinity to the left and the right of the graph.

A function that has a graph with a domain of -∞ < x < ∞ is one of direct proportionality.

An example is, y = x

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Answer:

Hi

Step-by-step explanation:

Please paste your question so I can solve it

Thanks

Easy way to do this, divide 24 with 3, you will get 8. That means 8 is 1/3 of 24. To get 2/3 you just add 8+8 which equals to 16

CJ's plan to construct a square inscribed in a circle is through 7 steps.

step 1:

First, draw a circle using a compass (any size).

Step 2:

Using a ruler, draw a diameter or straight line along the length of the circle and pass through its center.

Step 3:

Then open the compass through the circle. Then bring the compass tip to one end of the diameter and swing the compass over the circle to draw an arc.

Step 4:

Keeping the compass the same length, move it to the other side of the diameter, swing it over the circle again, and create another arc until the two arcs intersect. Step 5:

Repeat steps 3 and 4, this time using the same compass size to create an arc under the circle.

Step 6:

Connect the top and bottom intersections of the circle with a ruler or ruler. This creates a perpendicular bisector that bisects the diameter and forms a 90 degree angle.

Step 7:

Finally, use a ruler to connect each corner point to create a square. 

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Answer:

48√3 cm

Step-by-step explanation:

I'm assuming that ∠A = 30°, ∠R = 60°, and ∠Y = 90°.

The sides of a 30-60-90 triangle are in the ratio 1:√3:2.

RY is opposite the 30° angle and has length 48 cm.

AY is opposite the 60° angle, so the length of AY = 48√3 cm.

Answer:

0

Step-by-step explanation:

f(-1) is when x = -1

When x = -1, f(x) = 0.

Answer:

  it is the complement of 28°

Step-by-step explanation:

Angle DAB made by a tangent and a chord to the point of tangency is equivalent to every other inscribed angle that intercepts the same arc. Those angles have half the measure of the central angle ACB intercepting the same arc.

In isosceles triangle ABC the base angles (shown as 28°) are the complement of half the measure of the central angle. Hence angle DAB will be the complement of the angle marked 28°.

  angle DAB = 90° -28° = 62°

The given function y = sec⁻¹(x³) is differentiated as dy/dx = 3x/√(x² - 1).

The differentiation of a function is defined as rate of change of its value at a point. It can be written as f'(x) = Lim h --> 0 (f(x + h) - f(x)) /(x + h - x).

Its geometric meaning is the slope of tangent of the function at a given point.

The given function is as below,

y = sec⁻¹(x³)

The given function is a composite function of sec⁻¹x and x³.

In order to differentiate it, first differentiate x³ and then sec⁻¹x as follows,

dx³/dx = 3x²

And, dsec⁻¹x /dx = 1/x√(x² - 1)

Now, differentiation of sec⁻¹(x³) is given as,

d sec⁻¹(x³)/dx = 3x²/(x√(x² - 1))

                      = 3x/√(x² - 1)

Hence, the differentiation of the given function is 3x/√(x² - 1).

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Given:

A car can drive 119 miles on 5 gallons.

So, car drive 23.8 miles per gallon.

A) For 9 gallons the distance covered by car is,

The car can drive 214.2 miles on 9 gallons.

B) For 1190 miles,

The car will need 50 gallons to drive 1190 miles

Answer:

the answer is: B i hope that will help

Step-by-step explanation:

Answer:

its definitely B. Good luck

If Anna draws an angle in her notebook, then the rays intersect at just one point.

The point where two lines meet is known as an angle

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Answer: 1

Step-by-step explanation:

Took the test and it was correct

The function that would have the greatest value at x = 16 include the following: B. y = x² - 17x + 182.

In Mathematics and Geometry, a function is a mathematical equation which defines and represents the relationship that exists between two or more variables such as an ordered pair in tables or relations.

In this exercise, we would determine the corresponding output value for this function of y based on the x-value (x = 16) in simplified form as follows;

\(y = 10^{16}\)

y = 10,000,000,000,000,000.

y = x² - 17x + 182

y = 16² - 17(16) + 182

y = 256 - 272 + 182

y = 166.

\(y = 1.17^x\\\\y = 1.17^{16}\)

y = 12.330304108137675851908392069373.

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Answer:

Step-by-step explanation:

Answer:

3,840 cubic feet

Step-by-step explanation:

V=LWH

V= 40X24X4

V=3,840 cubic feet

The difference between ANOVA and Z-test Hypothesis is the Z-test is employed to contrast the averages of single or dual populations, whereas ANOVA is utilized for assessing the means across three or more clusters.

The Z-test becomes possible in  the comparison of the mean of a sample to that of the population. It evaluates if there is statistical relevance in the difference between the mean of a sample and the mean of the whole population

In contrast, ANOVA is employed to contrast the averages of three or more separate groups. This assesses if there is a noteworthy distinction in the averages of said groups. The F-statistic in ANOVA is computed by assessing the disparity in variability between groups and the variability within groups.

In a nutshell, the Z-test is employed to contrast the averages of single or dual populations, whereas ANOVA is utilized for assessing the means across three or more clusters.

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BC=DE are congruent and the angles are also congruent by using CPCT.

To prove BC=DE given angle BAC=angle DAE, we can use the following steps:

Draw the circle with centre A and points B, C, D, and E on its circumference.

Draw the line segment AE, and extend it to intersect the circle at point F.

Draw the line segment BF, and extend it to intersect the circle at point G.

Draw the line segments CG and DG.

Since angles BAC and DAE are equal, we have angle BAF = angle DAF (because they are vertical angles).

Since angles BAF and BGF subtend the same arc, we have angle BAF = angle BGF.

Similarly, since angles DAF and DGF subtend the same arc, we have angle DAF = angle DGF.

Since angles BGF and DGF are both equal to angle BAC/2 + angle DAE/2, we have angle BGF = angle DGF.

Since angles BGC and DGC are both equal to angle BGF + angle CGF, we have angle BGC = angle DGC.

Since angles BDC and EDC are both equal to angle CGD, we have angle BDC = angle EDC.

Therefore, BC = BG + GC = DG + GC = DE, as desired.

To prove angle BAC=angle DAE given BC=DE, we can use the following steps:

Draw the circle with centre A and points B, C, D, and E on its circumference.

Draw the line segments AC and AD.

Draw the perpendicular bisectors of BC and DE, and let them intersect at point O.

Since BC=DE, the perpendicular bisectors of BC and DE are the same line.

Therefore, point O lies on both the perpendicular bisectors of BC and DE.

Since point O lies on the perpendicular bisector of BC, we have OB = OC.

Similarly, since point O lies on the perpendicular bisector of DE, we have OD = OE.

Since OA is a radius of the circle, we have OB = OD.

Therefore, OB = OC = OD = OE, so quadrilateral BCDE is a kite.

Since a kite has two pairs of equal adjacent angles, we have angle BOC = angle DOE and angle BCO = angle EDO.

Therefore, angle BAC = angle BOC - angle BCO = angle DOE - angle EDO = angle DAE, as desired.

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Answer:

- 3 and 3

Step-by-step explanation:

To evaluate (u ￮ w)(- 1), evaluate w(- 1) then use this value to evaluate u(x)

w(- 1) = (- 1)² + 2 = 1 + 2 = 3, then

u(3) = - 3

---------------------------------------------------

To evaluate (w ￮ u)(- 1), evaluate u(- 1) then use this value to evaluate w(x)

u( - 1) = - (- 1) = 1, then

w(1) = 1² + 2 = 1 + 2 = 3

the probability that preparation is within 2 minutes of the mean time is 0.134.

An illustration of a probability distribution shows the anticipated results of potential values for a specific data generation procedure.

Axiomatic, theoretical and experimental are the three types of probability.

P(35-2<X<35+2)= P(33<X<37)= P(X<37)-P(X<32)

Using cumulative functi0n we get

P(35-2<X<35+2)= P(33<X<37)= P(X<37)-P(X<32)

=\(\frac{37-20}{50-20}-\frac{33-20}{50-20}\\ =0.567-0.433\\=0.134\)

Thus the probability that preparation is within 2 minutes of the mean time is 0.134.

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Answer:

8 cups hope this helps have a nice day please give me brainliest:))

Step-by-step explanation:

Answer:

.125 cup

Step-by-step explanation:

when you divide 1 by 8 you get .125 (and in this case your answer).