Which student solves and explains the equation correctly? Will choose brainliest.
Answers
Answer:
Jerry is correct
Step-by-step explanation:
[tex]8^{x} = 512[/tex]
this equation is asking 8 to what power is 512
Emma said the solution is x=3. Her explanation is 8 x 3 which would equal 24. This is not the correct answer.
Jerry's solution is x = 3. His explanation is 8 x 8 x 8 which would equal 512. This is the correct answer.
Mel's solution is x = 8. Her explanation is 8 x 3 which equals 24. This is not the correct answer.
Victoria's solution is x = 8. Her explanation is 8 x 8 x 8 which would equal 512. However, her explanation is correct, her solution is not. [tex]8^{8} = 16777216[/tex]. That is what her solution is saying.
Related Questions
Factor x^4+xy^3+x^3+y^3 out completely. Hint: first factor out a monomial.
pls put the explanation and thank uu
Answers
Answer:
(x + y)(x² - xy + y²)(x + 1)
Step-by-step explanation:
Given
[tex]x^{4}[/tex] + xy³ + x³ + y³ ( factor out x from the first 2 terms )
= x(x³ + y³) + 1(x³ + y³) ← factor out (x³ + y³) from each term
= (x³ + y³)(x + 1)
x³ + y³ is a sum of cubes and factors as (x + y)(x² - xy + y²)
Thus
[tex]x^{4}[/tex] + xy³ + x³ + y³ = (x + y)(x² - xy + y²)(x + 1)
ernie and lori are playing a game. the table shows their scores for 5 times they have played the game. which statement is true?
the medians are equal.
ernie has the greater range.
the means are equal.
ernie has the greater mode.
Answers
Answer:
Ernie has a greater range
The statement "the medians are equal" is true for the given table of data about playing a game by Ernie and Lori. This is obtained by calculating the mean, median, mode, and range of the data elements of each.
What are the mean, median, mode, and range for a set of data?Mean: This gives the average value of the data set and is calculated by adding all the elements in the data set and the result is divided by 2.Median: This is the middle value of the data set and it is calculated by rearranging the data in numerical order and then finding [tex]\frac{n}{2}[/tex] or [tex]\frac{n+1}{2}[/tex] for an even or odd number of data elements respectively.Mode: This gives the value that occurs most often in the data set.Range: The difference between the largest and smallest values of the data set is said to be the range.Calculating all the values for both Ernie and Lori:Given data sets for Ernie and Lori as follows:
Ernie: {18, 24, 17, 19, 17} and Lori: {16, 22, 18, 14, 18}
The number of elements in both the data sets is equal and it is 5
Calculating Mean:
For Ernie: {18, 24, 17, 19, 17}
Mean=(18+24+17+19+17)/2
=19
For Lori: {16, 22, 18, 14, 18}
Mean=(16+22+18+14+18)/2
=17.6
Thus, their "means are not equal". (3rd statement is false)
Calculating Median:
For Ernie: {18, 24, 17, 19, 17}
Re-arranging the data - 17, 17, 18, 19, 24
Since n=5 (odd), then the median is at (5+1)/2 th term i.e., 3rd term
So, the median is 18
For Lori: {16, 22, 18, 14, 18}
Re-arranging the data - 14, 16, 18, 18, 22
Since n=5 (odd), then the median is at (5+1)/2 th term i.e., 3rd term
So, the median is 18
Thus, their "medians are equal". (first statement is true)
Calculating Mode:
The most occurring number in Ernie: {18, 24, 17, 19, 17} is 17 and
The most occurring number in Lori: {16, 22, 18, 14, 18} is 18
Thus, their modes are not equal, and "Lori has the greater mode".
(4th statement is false)
Calculating Range:
The range for Ernie's data set is 24 - 17=7
The range for Lori's data set is 22 - 14=8
Thus, their ranges are also not equal but "Lori has the greater range".
(2nd statement is false).
Therefore, 1st statement - " the medians are equal" is true.
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What is the circumference of a circle with a diameter of 9 inches? (use for pi)
27 in.
24in.
28in.
30 in.
(show work)
PLZ HELP MEH :-:
Answers
2 multiply the π by the radius which will be 4.5 because to get the radius u will have to to do 9 divide 2 which will be 4.5.
Calculate that in the calculator and you’ll get:
C=28.3 ( I rounded to the nearest tenth)
Answer:
i think it would be 28.26
Step-by-step explanation:
because C=2 pie r and D=2 r (solving for C=pie d =pie . 9 = 28.27433 then just round and thats how you get 28.27 (sorry if its confusing) (im not good at explaining but i am smart)
Find m < RQP
70
55
80
90
Answers
What are the leading coefficient, constant term and degree, if any, of the algebraic expression (x - 1)(x^2+1)
a. leading coefficient: 1; constant term: -1; degree: 3 b. leading coefficient: -1; constant term: 1; degree: 3
c. leading coefficient: 1; constant term: 1; degree: -3. d. none, expression is not a polynomial
Answers
Answer:
See below in bold.
Step-by-step explanation:
(x - 1)(x^2 + 1)
= x(x^2 + 1) - 1(x^2 + 1)
= x^3 + x - x^2 - 1
= x^3 - x^2 - x - 1.
Leading coefficient = 1.
Constant term = -1.
Degree = 3. (because of the x^3).
If the algebraic expression is (x - 1)(x² + 1). The leading coefficient is 1, the constant term is -1 and the degree is 3. Option A is correct.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
It is given that the expression is,
(x - 1)(x² + 1)
Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.
[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]
=(x - 1)(x²+ 1)
= x(x² + 1) - 1(x² + 1)
= x³ + x - x² - 1
= x³ - x² - x - 1.
From the expression the obtained result is,
Leading coefficient = 1
Constant term: -1
Degree: 3
Thus, if the algebraic expression is (x - 1)(x² + 1). The leading coefficient is 1, the constant term is -1 and the degree is 3. Option A is correct.
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Which elevation is lowest?
-80 m
220 m
-120 m
45 m
Answers
Answer:
I think its -120m
Step-by-step explanation:
Coz negatives are less than positives
Find the area of the figure shown below and type your result in the empty box.
Answers
Answer:
Area =
b1 + b2 ×h
2
=
10 + 10 × 10
2
= 100 feet2
Step-by-step explanation:
What is 1,000,000,000,000 as a power of 10?
Answers
Answer:
1,000,000,000 as a power of 10, is: 10^12
Step-by-step Solution:
We can expand 1,000,000,000, and write this number as a multiplication sentence using only the number 10. By doing this, we can count the number of tens needed to be multiplied to get to his answer:
1,000,000,000 = 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10
Since 10 is multiplied by itself 12 times, we can therefore say that 10^12 is equal to 1,000,000,000
Answer:
10^12 (10 to the 12th power)
Step-by-step explanation:
10 to the twelth power would basically be 10x10x10x10x10x10x10x10x10x10x10x10
This equals 1,000,000,000,000, which is one trillion.
A farmer plants corn and soybeans. This model shows the area reserved for each.
A model with 4 rows of 5 squares that represent corn and 4 rows of 3 squares that represent soybeans. Corn is 20 acres and soybeans is 12 acres.
(sorry theirs no picture)
Which expression is equivalent to the sum of the two areas?
4(5)(3)
5(4 + 3)
4(5 + 3)
(4 + 5)(4 + 3)
Answers
Answer:
C) 4 (5+3)
Step-by-step explanation:
Find the exact circumference of a circle with an area equal to 36π sq. in.
1. 12π
2. 18π
3. 324π
Answers
Answer:
C = 12 pi
Step-by-step explanation:
The area of a circle is given by
A = pi r^2
36 pi = pi r^2
Divide each side by pi
36 = r^2
Take the square root of each side
sqrt(36) = sqrt (r^2)
6 =r
We can find the circumference
C = 2 * pi *r
C = 2* pi *6
C = 12 pi
Answer:
first option
Step-by-step explanation:
why is it not possible to make a right triangle using lengths of 10 feet, 60 feet, and 65 feet ?
Answers
Answer:
the answer is C
Step-by-step explanation:
What is the measure of ∠ADC?
Answers
Answer:
<ADC = 131
Step-by-step explanation:
< ADC = <ADB + < BDC
The large angle is the sum of the two smaller angles.
<ADC = 89+42
=131
Answer:
131 degrees
Step-by-step explanation:
The reason for, is since <ADC is equal to < ADB + <BDC and that we already know the values of <ADB and <BDC, we can simply do
89 + 42 = 131.
So, <ADC is 131 degrees.
:)
Area or Trapezoids and Composite Figures - Item 992350
Questioi
Drag the correct number of pieces to show how to find the area of the shaded figure in
two different ways. Pieces can be rotated to fit.
Pieces = 6
Pieces 46
DRAG AND
DROP ITEMS
HERE
DROP ITEMS
Answers
In order to find the area of composite figures and trapezoids, you should decompose the figure into simple shapes, calculate each of their areas, and then sum these areas up. For trapezoids, use the formula 1/2 (sum of the bases) x height.
Explanation:The question provides a complex description of a figure, but it seems this is a mathematical problem dealing with areas of trapezoids and composite figures. It can be inferred that you need to maneuver pieces to cover the shaded area of a figure. Here's a general way to approach it:
Decompose the figure: Break down the complex figure into simple shapes such as rectangles, squares, triangles etc. Calculate the areas: Use the appropriate formulas to calculate the areas of these simpler shapes. Sum up the areas: Add the areas of the individual shapes to get the total area of the composite figure.
For the trapezoids, remember that the area of a trapezoid is given by 1/2 (sum of the bases) x (height).
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3. Liam has a rectangular back
yard. He measured one side of the
yard and found it to be 85 feet and its
diagonal to be 117 feet. Determine, to
the nearest tenth of a foot, the length
of the other side of his back yard
Answers
Answer:
Length of the other side of the backyard is 80.4 feet.
Step-by-step explanation:
Let the dimensions of the Liam's rectangular backyard = 85 feet × a feet
Diagonal of the rectangle, AD = 117 feet
When we apply Pythagoras theorem in ΔABD,
AD² = AB² + BD²
(117)² = (85)² + BD²
a² = 13689 - 7225
a = √6464
= 80.399 feet
a ≈ 80.4 feet
Therefore, length of the other side of the backyard is 80.4 feet.
Lily offers embroidery services at her clothing store. She charges $2 for every letter plus a $6 setup fee. Which graph represents the cost of Lily's embroidery services?
Answers
Answer:
Ok so the way i see it lily would take $2 and $6 and multiply it by the price of the item say someone walks in and buy's a 5 letter's she'd first multiply 2x5 = 10 and then she'd multiply 6x5= 30 add the two 30 + 10 = 40. If it isn't to much can you give me brainliest? if not a simple thanks will do!!!
~~ Night
Answer: lily would take $2 and $6 and multiply it by the price of the item say someone walks in and buy's a 5 letter's she'd first multiply 2x5 = 10 and then she'd multiply 6x5= 30 add the two 30 + 10 = 40. Brainliest?
The triangle shown below has an area of 25 units squared. What is the missing height?
Answers
Answer:
height = 5
Step-by-step explanation:
If area = (1/2)bh, the equation would be 25 = (1/2)10h.
The first step I'd do is multiply both sides by 2 to get rid of the (1/2). So, now the equation is 50 = 10h.
Divide both sides by 10, and you get h = 5! :D
Answer:
x=5 unitsStep-by-step explanation:
Given:
A= 25
b=10
Find the height:-
[tex]\sf A=0.5\:bh[/tex]
[tex]\sf 25=0.5(10)h[/tex]
[tex]\sf 25=5h[/tex]
[tex]\sf 5h=25[/tex]
[tex]\sf \cfrac{5h}{5}=\cfrac{25}{5}[/tex]
[tex]\sf h=5[/tex]
Hope it helps!
Will a set of data always have a mode? Explain your answer.
Answers
A set of data will not always have a mode.
A mode is defined as the value that appears the most often in a set.
For instance, a set of 1, 2, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 6 would have a mode of 4, as it appears more often than any other number in the set.
However, a set of 1, 2, 3, 4, 5, 6 has no mode as there is no number that appears more than other numbers in the set.
Enter the trigonometric equation you would use to solve for x in the following right triangle. Do not solve the equation.
Answers
Answer:
sin 70= x/8
Step-by-step explanation:
Opposite of 70 degrees is x and the hypotenuse is 8.
Sin is opposite over hypotenuse
Therefore, sin 70=x/8
how do you graph y = -4/3x+8
Answers
Answer:
Below.
Step-by-step explanation:
The y-intercept of the graph is at (0, 8)
Plugging in x = 0 we get y = -4/3 * 0 + 8 = 8.
So we can mark 2 points on the graph paper.
One is at (0, 8).
If we let x = 3 then y = -4/3 * 3 + 8
y = -4 + 8
y = 4.
So our second point is at (3, 4)
We draw a line through these 2 points to get our graph.
Which of the points is NOT one of the vertices (s,t) of the shaded region of the set of inequalities shown below?
Please help
Answers
Answer:
Option D
Step-by-step explanation:
Given: set of inequalities
To find: Points which do not satisfy all the inequalities
Solution:
For point [tex](15,0)[/tex]:
[tex]15\leq 30-3(0)=30\\15\geq 15-0=15\\15\leq 25-0=25\\15\geq 0\\0\geq 0[/tex]
So, (15, 0) satisfies all the inequalities
For point [tex](7.5,7.5)[/tex]:
[tex]7.5\leq 30-3(7.5)=30-22.5=7.5\\7.5\geq 15-7.5=7.5\\7.5\leq 25-7.5=17.5\\7.5\geq 0\\7.5\geq 0[/tex]
So, (7.5, 7.5) satisfies all the inequalities
For point (22.5,2.5):
[tex]22.5\leq 30-3(2.5)=30-7.5=22.5\\22.5\geq 15-2.5=12.5\\22.5\leq 25-2.5=22.5\\22.5\geq 0\\2.5\geq 0\\[/tex]
So, (22.5,2.5) satisfies all the inequalities
For point (7.5 ,0):
Put s = 7.5 and t = 0 in [tex]s\geq 15-t[/tex]
[tex]7.5\geq 15-0=15[/tex] which is false
So, [tex](s,t)\neq (7.5,0)[/tex]
Answer:
D.
Step-by-step explanation:
solve the equation x-8=3x
Answers
Answer:
x = -4
Step-by-step explanation:
x - 8 = 3x
First, subtract x from both sides:
x - 8 = 3x
-x - x
________
-8 = 2x
Then, divide both sides by 2:
-8 = 2x
-4 = x
Dominick drew a triangle on a map connecting his house, his school, and his favorite skate park. He used a scale on the map to determine that the height of the triangle that he drew represented 2 miles, and the base of the triangle that he drew represented 6 miles. What is the area of the triangle in square miles?
A triangle has points House, skate park, school. The height of the triangle is 2 miles and the base is 6 miles.
Use the formula for the area of a triangle, A = one-half b h, where A is the area of the triangle, b is the base, and h is the height.
Square miles
Answers
Since you multiply 6x 2 and then divide it by 2 is equal to 6
Complete the equation 3 x 18 = 3 x ____ x 9
Need answer ASAP
Answers
Answer:
2
Step-by-step explanation:
Since the 3's are the same on either side, you need to find a number that, when multiplied by 9, yields 18. The only number that satisfies that is 2, which is the answer. Hope this helps!
-2x + 3y = -5
2x + 4y = 26
Answers
Answer:
[tex]x=7[/tex]
[tex]y=3[/tex]
Step-by-step explanation:
Considering the system of equations:
[tex]$\left \{ {{-2x + 3y = -5} \atop {2x + 4y = 26}} \right. $[/tex]
[tex]$\left \{ {{ 3y = -5} \atop {4y = 26}} \right. $[/tex]
[tex]7y=21\\y=3[/tex]
[tex]2x + 4(3) = 26\\2x + 12 = 26\\2x=14\\x=7[/tex]
On a coordinate plane, triangle J K L has points (negative 2, 1), (0, 3), and (2, negative 1). Reflect the figure over the line x = 0. The coordinate of J’ is . The coordinate of K’ is .
Answers
Answer:
J'(2, 1)
K'(0, 3)
Step-by-step explanation:
On a coordinate plane, coordinates of the points J, K and L are (-2, 1), (0, 3) and (2, -1) respectively.
If we reflect these points over the line x = 0 or y-axis, rule to be followed is
(x, y) → (-x, y)
Only sign of x coordinates get changed while y coordinates remain the same.
Following this rule coordinates of the images of J' and K' will be
J(-2, 1) → J'(2, 1)
and K(0, 3) → K'(0, 3)
Answer:
j = 2, 1
k = 0, 3
Step-by-step explanation:
i got it right on edg
-9
- 12 square root of 3
Answers
Answer:
b = 9
Step-by-step explanation:
A= 30° a = 3[tex]\sqrt{3x}[/tex]
B = b =
C = 90° c =
find B first
90 + 30 = 120
180 - 120 = 60
B = 60°
Now, let's find b
use the Law of Sines
[tex]\frac{sin A}{a} = \frac{sin B}{b} \\\frac{sin 30}{3\sqrt{3} } = \frac{sin 60}{b}\\b = \frac{3\sqrt{3} sin 60 }{sin 30}\\b = 9[/tex]
Please help me I need help with answer
Answers
Answer:
+30 + -25
Savings is positive
Buying is negative
Step-by-step explanation:
We save 30 dollars
+30
We buy a game for 25
-25
+30 -25
Savings is positive
Buying is negative
A fitness instructor tested the arm strength of members of a fitness dass to compare their scores to the national average. The test rated members on a scale from 1, the weakest, to 10, the strongest. The scores of 9 members are shown in the data set below. 4,6,6,7,7,8,8,8,9 Part A What is the value of each measure? Answers: Median: Mode: Range: Part B The mean absolute deviation (MAD) value of the data set is about 1.1. Tyler says that the lower the MAD value, the greater the variability. Is Tyler correct? Explain.
Answers
Answer:
A) Median: 7
Mode: 8
Range: 5
B) Tyler is wrong, the greater the MAD value, the greater the variability
Step-by-step explanation:
A) Given the data set: 4,6,6,7,7,8,8,8,9
The median is 7 (the middle point in the ordered list)
The mode is 8 (the most repeated number)
The range is 5 (the difference between the highest and lowest values)
I need help with this math equation. It's about quadratic equation.
Identify a, b, and c in the following quadratic equation 3x^2−7x=12.
A=
B=
C=
Answers
Answer:
A = 3
B = -7
C = -12
Step-by-step explanation:
3x^2−7x=12.
The standard form for a quadratic equation is
Ax^2 +Bx +C =0
Subtract 12 from each side
3x^2−7x-12=12-12
3x^2−7x-12=0
A = 3
B = -7
C = -12
Answer:
a = 3
b = -7
c = -12
Step-by-step explanation:
General form of a quadratic:
ax² + bx + c
Given:
3x² − 7x = 12
3x² - 7x - 12 = 0
Comparing the two:
a = 3
b = -7
c = -12
What is the 15th term of the sequence 4,-8, 16, -32, 64...?
Answers
Answer: 16384
Step-by-step explanation:
The 15th term of the geometric sequence 4,-8, 16, -32, 64... is 131072. The term is obtained by using the formula for the nth term of a geometric sequence.
Explanation:The sequence given is a geometric sequence. This means every term is obtained by multiplying the previous term by a constant. In this case, the constant is -2 (since -8 = 4*-2, 16 = -8*-2, -32 = 16*-2, etc).
The formula for the nth term of a geometric sequence is a*r^(n-1), where a is the first term, r is the ratio (constant), and n is the position of the term in the sequence. In this case, the first term a is 4 and the ratio r is -2. Substituting these values and n=15 into the formula, we get the 15th term as 4*(-2)^(15-1) = 131072.
Therefore, the 15th term of the sequence 4,-8, 16, -32, 64... is 131072. This can be found by applying the formula for the nth term of a geometric sequence and substituting the given values.
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