C) Step 3 is wrong because the subtraction property of equality was used incorrectly.
I just took the quiz on edge
Answer:
its c
Step-by-step explanation:
i did the test on edge
For what value of x does 5^x-2 not equal zero?
a. all except 2
b. all except 0
c. all except -4
d. all except -2
e. all real numbers
Answer:
E: all real numbers
Step-by-step explanation:
Can someone help me solve this :): ?
( brainliest to the correct answer/explanation)
Answer:
1and1/2yrs ago
Step-by-step explanation:
price dis year= 56545
reduction per year= 11309
...number of years ago = 73810-56545=17265
and is about 20% of annual deductions
so if 56545 +20% + 1/2 20% = 1nd1/2 yrs
What is the result of subtracting the second equation from the first? \begin{aligned} -2x+7y &= 10 \\\\ 3x+7y &= 2 \end{aligned} −2x+7y=10 3x+7y=2
Answer:
-5x = 8
Step-by-step explanation:
The result is shown here. The y-terms cancel.
[tex]\begin{array}{rccc}& -2x+7y &= &10 \\-&(\ \,3x+7y &= &2)\\\cline{1-4}&-5x+0y&=&8 \end{array}[/tex]
The simplified result is ...
-5x = 8
Answer:
The result is that 5x = -8
Step-by-step explanation:
Here, we want to subtract 3x + 7y = 2 from -2x + 7y = 10
Mathematically that would be;
(-2x+7y)-(3x+7y) = 10-2
-2x + 7y -3x -7y = 8
-2x -3x + 0 = 8
-5x = 8 or 5x = -8
The inequality x > y is satisfied by point (5,5).
true false
Answer:
There is not enough information.
Step-by-step explanation:
A a supermarket sells the three bands of rice shown.
Answer:
the ansewr is b
Step-by-step explanation:
(a) use the pythagorean theorem to determine the length of the unknown side of the triangle, (b) determine the perimeter of the triangle, and (c) determine the area of the triangle. the figure is not drawn to scale.
a. the length of the unknown side is ___
b. the perimeter of the triangle is ___
c. the area of the triangle is ___
Answer:
(A) 40 km
(B) 90 km
(C) 180 km²
Step-by-step explanation:
To find the missing side of this triangle, let's use the Pythagorean theorem.
[tex]a^2+b^2=c^2[/tex], assuming that a and b are legs, and c is the hypotenuse.
Assuming the 9km side is a, we need to find the value of b, so we can substitute into the equation.
[tex]9^2+b^2=41^2\\81+b^2=1681\\b^2=1681-81\\b^2=1600\\\\b = \sqrt{1600} \\b=40[/tex]
So, the length of the missing side is 40. Now that we know this piece of information, we can find the perimeter and area of the triangle.
The perimeter is all the sides added together, so [tex]41+9+40 = 90[/tex] km is the perimeter.
The area are the two legs multiplied divided by 2.
So,
[tex]\frac{9\cdot40}{2} \\\\\frac{360}{2}\\\\180[/tex]
So the area of this triangle is 180 cm²
I hope this helped!
Which statements are true regarding undefinable terms in geometry?
C. A line has one dimension, length.
E. A plane consists of an infinite set of lines.
Romain knows the following information about the 323232 classes he took in high school: He studied for but did not pass 333 classes. He passed 272727 classes in total. He studied for 262626 classes in total. Can you help Romain organize the results into a two-way frequency table?
Answer:
Classes studied for, Classes he did not study for Total
Classes Passed, 23 4 27
Classes Failed, 3 2 5
Total, 26, 6 32
Please find attached the two way frequency table formatted on Excel spreadsheet
Step-by-step explanation:
The given information are;
The total number of classes Romain took in high school = 32
The number of classes he studied for but did not pass = 3
The total number of classes Romain passed = 27
The number of classes Romain studied for = 26
Therefore;
The number of classes Romain studied for and passed = 26 - 3 = 23
The total number of classes Romain failed = 32 - 27 = 5
The total number of classes Romain passed but did not study for = 27 - (26 - 3) = 4
The number of classes Romain did not study for and failed = 5 - 3 = 2
The total number of classes Romain did not study for = 4 + 2 = 6
If AD is the altitude to BC, what is the slope of AD?
A. 2/5
B. -5/2
C. 5/2
D. -2/5
Answer:
Option (C)
Step-by-step explanation:
If AD is the altitude to BC, both the segments AD and BC will be perpendicular to each other.
By the property of perpendicular lines,
[tex]m_1\times m_2=-1[/tex]
where [tex]m_1[/tex] is the slope of the line AD and [tex]m_2[/tex] is the slope of BC.
[tex]m_2=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]=\frac{8+2}{3-7}[/tex]
[tex]=-\frac{5}{2}[/tex]
Now from the given property,
[tex]m_1\times (-\frac{2}{5})=-1[/tex]
[tex]m_1=\frac{5}{2}[/tex]
Therefore, slope of altitude BC = [tex]\frac{5}{2}[/tex]
Option (C) will be the answer.
What is the standard deviation of the data set given below?
4, 7, 8, 9, 12
O A. -2.5
O B. 18.5
O c. 6.8
O D. 76.8
E. 2.5
O F. 8.5
Answer:
The answer is 2.6 but that's not listed as an option so try 2.5?
HELP ASAP MONEY AND WAGES
Answer: $57,700.00
Step-by-step explanation:
Total Gross Annual income = $70,000
a) Pension at 5% = $70,000(0.05) = $3,500
b) Employee Insurance at 2.4% = $70,000(0.024) = $1,680
c) Income Tax at 0% for $0-$11,000 = $11,000(0) = $0
Income Tax at 8% for $11,000-$25,000 = $14,000(0.08) = $1,120
Income Tax at 12% for $25,000-$50,000 = $25,000(0.12) = $3,000
Income Tax at 15% for $50,000-$100,000 = $20,000(0.15) =$3,000
Total Income Tax = $7,120
Annual Net Income = Gross - Pension - Employee Insurance - Income Tax:
$70,000 - $3,500 - $1,680 - $7,120 = $57,700
Explain why f(x) = x^2-x-6/x^2-9 is not continuous at x = 3.
Answer:
See Explanation
Step-by-step explanation:
Given
[tex]f(x) = \frac{x^2 - x -6}{x^2 - 9}[/tex]
Required
Why is the function not continuous at x = 3
First substitute 3 for x at the denominator
[tex]f(x) = \frac{x^2 - x -6}{x^2 - 9}[/tex]
Factorize the numerator and the denominator
[tex]f(x) = \frac{x^2 - 3x+2x -6}{x^2 - 3^2}[/tex]
[tex]f(x) = \frac{x(x - 3)+2(x -3)}{(x - 3)(x+3)}[/tex]
[tex]f(x) = \frac{(x+2)(x - 3)}{(x - 3)(x+3)}[/tex]
Divide the numerator and denominator by (x - 3)
[tex]f(x) = \frac{x+2}{x+3}[/tex]
Substitute 3 for x
[tex]f(3) = \frac{3+2}{3+3}[/tex]
[tex]f(3) = \frac{5}{6}[/tex]
Because [tex]f(x) = \frac{x^2 - x -6}{x^2 - 9}[/tex] is defined when x = 3;
Then the function is continuous
Answer:
A: f is not defined at x = -3
Step-by-step explanation: EDGE 2020
An oblique prism has trapezoidal bases and a vertical height of 10 units. An oblique trapezoidal prism is shown. The trapezoid has base lengths of x and 2 x, and a height of x. The distance between the 2 trapezoid bases is 20. The vertical height of the prism is 10. Which expression represents the volume of the prism? 10x3 cubic units 15x2 cubic units 20x3 cubic units 30x2 cubic units
Answer:
volume of trapezoidal prism = 15x^2 cubic units
Step-by-step explanation:
First, area of the trapezoidal bases.
Parallel sides measure x and 2x, for an average of 1.5x.
Height = x
Area of trapezoidal base = 1.5x*x = 1.5x^2
Volume of prism = area base * height
(length does not matter, height does)
= 1.5x^2 * 10 = 15x^2
The volume of the prism is 15x² cubic units if the oblique prism has trapezoidal bases and a vertical height of 10 units option (B) 15x² cubic units is correct.
What is a trapezoid?It is defined as the quadrilateral having four sides in which two sides are parallel to each other, it is a 2-dimensional geometry.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
It is given that:
An oblique prism has trapezoidal bases and a vertical height of 10 units.
As we know, the area of the trapezoidal bases:
From the figure:
Height = x
Area of trapezoidal base = (1.5x)(x) = 1.5x²
The volume of prism = area base×height
= 1.5x²×10 = 15x² cubic units
Thus, the volume of the prism is 15x² cubic units if the oblique prism has trapezoidal bases and a vertical height of 10 units option (B) 15x² cubic units is correct.
Learn more about the trapezoid here:
brainly.com/question/8643562
#SPJ6
Hi could somebody help me
Assuming both vertical lines are parallel and assuming I'm supposed to find all the unmarked angles...
Angle C:
Supplementary Angles.
x+36=180
180-36=x
x=144
Angle B:
Corresponding Angles.
Angle B ≅ Angle C
144
Angle A:
360 degrees in a quadrilateral
36+144+81+x=360
261+x=360
x = 99
Hope it helps <3
Which expression is equivalent to 10 to the 4 power? A.) 10 times 10 times 10 times 10 B.) 40 C.) 4 times 4 times 4 times 4 times 4 times 4 times 4 times 4 times 4 times 4 D.) 4,444,444,444
Answer:
A
Step-by-step explanation:
Here in this question, we want to select which of the options particularly represents what was given in the question.
Mathematically 10^4 means that we are raising 10 into a continued exponential raising up to 4 times.
So 10^4 is pronounced as the first option in the question.
10 raised to power 10 , raised to power 10 etc
☆*☆=3x, if x is even and negative OR ☆*☆=4x, if x is odd. Following the rule above, what is the value of ☆ - 23 ☆?
A. 92
B. -92
C. 529
D. -529
Answer:
okay... Thanks have a great day!
Please answer it in two minutes
Answer:
2√3
Step-by-step explanation:
Since this is a 30-60-90 triangle, we can find s by finding the short leg (bottom), then the hypotenuse (s).
To find the short leg, we can divide the long leg (which is 3mm) by sqrt 3 (also √3, as any of them are fine), and we will have 3/√3. Since we don't want the square root on the bottom, we can multiply √3 on both sides, giving us 3√3/3, which is technically √3 because of simplifying.
Since you have the short leg now, you can find s. By finding s, you can multiply the short leg by 2, which will be √3 * 2 which is 2√3.
The points (- 1, – 2), (1, 0), (- 1, 2), (- 3, 0) forms a quadrilateral of type:
Answer:
A square.
Step-by-step explanation:
Given the sequence -3, 9, -27, 81, -243, ..., find the recursive formula.
Answer:
[tex]a_{n}[/tex] = - 3[tex]a_{n-1}[/tex]
Step-by-step explanation:
There is a common ratio between consecutive terms of the sequence, that is
r = 9 ÷ - 3 = - 27 ÷ 9 = 81 ÷ - 27 = - 243 ÷ 81 = - 3
The recursive formula is of the form
[tex]a_{n}[/tex] = r[tex]a_{n-1}[/tex] = - 3[tex]a_{n-1}[/tex]
The Department of Health in the United Kingdom wants to know whether the healthcare system is achieving its goals in Scotland. Much information about healthcare comes from patient records, but that source doesn't allow us to compare people who use health services with those who don't. Therefore, the Department of Health conducted the Scotland Health Survey, which was used to interview a random sample of 34,572 people who live in Scotland.
Part A: What is the population for this sample survey? What is the sample? (4 points)
Part B: The survey found that 70% of males and 87% of females in the sample had visited a general practitioner at least once during the past year. Do you think these estimates are close to the truth about the entire population? Explain. (6 points)
Answer:
A. the population for this sample survey is 34,572 people, and the sample is the people who live in Scotland.
B. The estimates are close to the truth about the entire population.
Step-by-step explanation:
A. According to the given data we have that it was used to interview a random sample of 34,572 people who live in Scotland, therefore, the population for this sample survey is 34,572 people, and the sample is the people who live in Scotland.
B. The estimates are close to the truth about the entire population becuase a large sample was conducted, hence we can make an aproximation that represents the population parameter.
11. How many kilometers is it from the main gate to Manatee Springs? (Hint: To convert from
yards to kilometers, multiply by 0.0009144). Round answer to the nearest hundredth kilometer.
Manatee Springs
Elephant
House
3,500 yds
4,200 yds
Train Depot
2,000 yds
Bird Sanctuary
Main Gate
(SHOW WORK)
Answer:
6 km
Step-by-step explanation:
Let us assume the following items
the Point at Train depot = T
The Point at Main gate = M
The Point at Bird sanctuary = B
The Point at Elephant house = E
The Point at manatee Springs = S
As we can see that there are two triangles namely TMB and TSE.
Mentioned that
MTB = ∠STE
∠TMB = ∠TSE
∠TBM = ∠TES.
According to the Angle-angle-angle (AAA similarity)
So, the triangles TMB and TSE are the same.
[tex]\frac{TM}{TS} = \frac{TB}{TE} \\\\ \frac{TM}{4,200} = \frac{2,000}{3,500}[/tex]
So, the TM is 2400 yds
Now the Distance between Main gate M and manatee Spring S is
MS = MT + TS
= 2,400 + 4200
= 6600 yds
Now the MS is
= 6600 × 0.0009144 km
= 6.035 km
≅ 6 km
graph the circle x2 + y2 - 12x + 6y +36 =0
x^2+y^2-12x+6y+36=0
Top Point: (6,0)
Left Point: (3,-3)
Right Point: (9,-3)
Bottom Point: (6,-6)
Answer:
[tex] x^2 +y^2 -12x +6y +36 =0[/tex]
And we can complete the squares like this:
[tex] (x^2 -12x +6^2) + (y^2 +6y +3^2) = -36 +6^2 +3^2[/tex]
And we got:
[tex] (x-6)^2 + (y+3)^2 = 9[/tex]
And we have a circle with radius r =3 and the vertex would be;
[tex] V= (6,-3) [/tex]
The graph is on the figure attached.
Step-by-step explanation:
For this case we have the following expression:
[tex] x^2 +y^2 -12x +6y +36 =0[/tex]
And we can complete the squares like this:
[tex] (x^2 -12x +6^2) + (y^2 +6y +3^2) = -36 +6^2 +3^2[/tex]
And we got:
[tex] (x-6)^2 + (y+3)^2 = 9[/tex]
And we have a circle with radius r =3 and the vertex would be;
[tex] V= (6,-3) [/tex]
The graph is on the figure attached.
Elevator 1 moved up 15 feet from the ground level. Its position is labeled as +15. Elevator 2 moved down 6 feet from the ground level. Its position is labeled as _____. (Use the hyphen for negative such as -1)
Answer:
-6
Step-by-step explanation:
the position is labeled -6 since it goes down
Answer:
-6
Step-by-step explanation:
Ground level is taken to be zero on this scale, so 6 feet below ground level will be designated as -6.
Please help me with this problem! If anybody answers first in this, i will give brainliest to you! Be the first one to answer this then i will give out a brainliest award to you!
Are you sure your that person?
Answer:
32 remainder 2
Step-by-step explanation:
To divide 162 by 5, we simply do the following:
5 goes into 16 => 3
Multiply 5 by 3 => 3 × 5 = 15
Subtract 15 from 16 => 16 – 15 = 1
Put the 1 before 2 => 12
5 goes into 12 => 2
Multiply 5 by 2 => 5 × 2 = 10
Subtract 10 from 12 => 12 – 10 => 2
In summary,
162 divided by 5 => 32 remainder 2
Please see attached photo for further details.
The co ordinates of the point where lines ax = by and ay=6x intersects are
Answer: (0, 0)
Step-by-step explanation:
ax = by ay = 6x
[tex]\dfrac{ax}{b}=y\qquad \quad y=\dfrac{6x}{a}[/tex]
Use substitution:
[tex]\dfrac{ax}{b}=\dfrac{6x}{a}\\\\\\\text{Cross Multiply:}\\a^2x=6bx\\\\\\\text{Solve for x:}\\a^2x-6bx=0\\x(a^2-6b)=0\\x=\dfrac{0}{a^2-6b}\\\large\boxed{x=0}[/tex]
Substitute x = 0 to solve for y:
[tex]\dfrac{ax}{b}=y \\\\\dfrac{a(0)}{b}=y\\\\\large\boxed{0=y}[/tex]
Write an equation to represent the following statement. k divided by 1 is 7. Solve for k. k=
Answer:
[tex]\boxed{k = 7 }[/tex]
Step-by-step explanation:
Given Condition is:
[tex]\frac{k}{1} = 7[/tex]
Multiplying both sides by 1
k = 7*1
k = 7
i need help plzzzzz
Answer:
A
Step-by-step explanation:
Given
f(x) = [tex]\frac{3+x}{x-3}[/tex]
To evaluate f(a + 2), substitute x = a + 2 into f(x)
f(a + 2) = [tex]\frac{3+a+2}{a+2-3}[/tex] = [tex]\frac{5+a}{a-1}[/tex] → A
Adding Rational Numbers Using Properties of Operations we can
add integers in any order using the
and
properties of addition.
Consider the integers a, b, c, and -d. We can add this group of
integers in several different ways:
a + (-b) + C+ (-0)
a+c+ (-6) + (-d)
(a + c) + [(-b) + (-d)]
The sum of the integers remains the
regardless of
their arrangement. We can use the commutative and associative
properties to break up numbers by
to find the sum of two or more rational numbers.
Answer:
First blank: Commutative
Second blank: Associative
Third blank: Same
Fourth blank and fifth blank: Rearranging them? (Not entirely sure)
Hope this helps :)
Keats Library purchases a number of new books, all in the category of biography; the library does not acquire any other books. With the addition of the new biographies, the biography collection of the library amounts to 37.5% of the new total number of books in the library. If prior to the purchase, only 20% of the books in Keats Library were biographies, by what percent has the number of biographies in the library increased
Answer:
[tex]\large \boxed{87.5 \, \%}[/tex]
Step-by-step explanation:
Let x = the original number of books
Then 0.375x = the total number of biographies
and 0.20 x = the original number of biographies
[tex]\text{Percent increase} = \dfrac{\text{ New number - Old number }}{\text{Old number }} \times 100\, \%\\\\= \dfrac{0.375x - 0.20x}{0.20x} \times 100\, \% = \dfrac{0.175x}{0.20x} \times 100\, \% = 0.875 \times 100\, \% = \mathbf{87.5 \, \%}\\\\\text{The number of biographies has increased by $\large \boxed{\mathbf{87.5 \, \%}}$}[/tex]
(1/16)^(x+3) = (1/4)^(x+1)
Answer:
x=-5
Step-by-step explanation:
The answer is x = -5. The explanation and answer is in the image below.