Answer: Slope = 1.200/2.000 = 0.600
x-intercept = -4/3 = -1.33333
y-intercept = 4/5 = 0.80000
Step-by-step explanation: 6x−10y=−8
Step 1: Add 10y to both sides.
6x−10y+10y=−8+10y
6x=10y−8
Step 2: Divide both sides by 6.
6x/6=10y-8/6
x=5/3y+-4/3
Slope = 1.200/2.000 = 0.600
x-intercept = -4/3 = -1.33333
y-intercept = 4/5 = 0.80000
The equations y = tan^2 (x) and y = 1 are graphed below. According to the graphwhich of the following is part the solution to the trigonometric inequality tan^2 (x) < 1 over the interval 0 <= x <= 2pi radians?
Answer: a
Step-by-step explanation:
just took test edg2020
The part of the solution of the equation that lies in the solution region of the inequality is x = π/6, the correct option is A.
What is an Inequality?An Inequality is a statement that is formed when two expressions are joined using an inequality operator.
The equation is
y = tan²x
y = 1
the inequalities are
tan²x < 1 ( 0≤ x ≤ 2π)
The graph of the system of equations and the inequality is plotted, and attached with the answer.
The answer can be seen as x = π/6.
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A deep ocean trench is 30,000 feet deep How deep is that in miles? Round your answer to two decimal places. (There are 5,280 feet in a mile.)
If a mile =5,208 ft that means you need to divide 30,000÷5,280 to get your answer!
Step-by-step explanation:
30,000÷5,280= 5.68mil
The ______ identity is 1.
Answer:
I believe its ,multiplication
Step-by-step explanation:
because any number you multiply be one is one
mark brainliest if correct please
Answer:
multiplication
Step-by-step explanation:
Cause of Peter griffen
Write an equation in point-slope form and slope-intercept form for the line.
passes through (6, -6), slope = 5
Answer:
y = 5- 36
Step-by-step explanation:
6 is the x
-6 is the y
y=mx+b
so m times x, m is the slope
5 times 6 is 30
-6=30+b
so -36
y=5x-36
SORRY IF IM WRONG I TRIED
Based on the pattern in the table, what is the value of a?
Powers of 2
Value
2 Superscript negative 1
One-half
2 Superscript negative 2
One-fourth
2 Superscript negative 3
one-eighth
2 Superscript negative 4
StartFraction 1 Over 16 EndFraction
2 Superscript negative 5
StartFraction 1 Over 32 EndFraction
2 Superscript negative 6
a
Negative 64
Negative 12
StartFraction 1 Over 16 EndFraction
StartFraction 1 Over 64 EndFraction
Answer:1/64
Step-by-step explanation: I got it right
Based on the pattern in the table, the value of a is StartFraction 1 Over 64 EndFraction.
What are Exponents?Exponents are the method of writing numbers, especially large numbers, in terms of a base and an exponent, which is written as the power of base.
Given is a pattern, which is the powers of 2.
The first term is 2⁻¹ = 1/2
The second term is 2⁻² = 1/ 2² = 1/4
The third term is 2⁻³ = 1 / 2³ = 1/8
The fourth term is 2⁻⁴ = 1 / 2⁴ = 1/16
The fifth term is 2⁻⁵ = 1/ 2⁵ = 1/32
The sixth term is 2⁻⁶ = 1/ 2⁶ = 1/64
So the value of a is 1/64.
Hence the value of a is 1/64.
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A submarine started at the surface of the water and
was moving down at –15 kilometers per
minute
toward the ocean floor. The submarine traveled at
this rate for 52 minutes before coming to rest on the
ocean floor. What is the depth of the ocean floor?
Answer:
The depth of the Ocean Floor is -780 kilometers
Step-by-step explanation:
The answer is -780 because -15 multiplied by 52 equals -780.
question: what is the relationship between measures of angle 1 and angle 2
pls help need answer fast
Answer:
C.
Step-by-step explanation:
m1 is greater than m2 because the angle is larger
Kara earned $136.75 last week working 16 hours. She earned $10.50 per hour at the fast food restaurant and $4.25 per hour helping her aunt clean her store.
How many hours did she work at the fastest food restaurant? How many hours did she help her aunt clean the store? In your response make sure to:
Create a model that can be used to determine the number of hours Kara worked at each job.
Define your variables.
Show all your work.
Answer:
First we are going to try to find how many hours she worked on the fast food restaurant so you multiply 4.25 time 16 and x
10.50x + 4.25(16-x) =136.75
10.50x + 68 - 4.25x= 136.75
Then, you subtract 68 from both sides and subtract 4.25x from 10.50x
6.25x=68.75
Divide
X=11 that is how many hours she worked at the FAST FOOD RESTAURANT
Then 16-11 and that gives us how many hours she helped her aunt.
ANSWER: she worked 11 hours at the fast food restaurant and 5 hours helping her aunt
Step-by-step explanation:
Here, we are required to determine how many hours Kara worked at the fastest food restaurant and how many hours did she help her aunt clean the store.
The number of hours worked by Kara in the restaurant is; 11hours.The number of hours worked by Kara in the restaurant is; 11hours.The number of hours worked by Kara in her aunt's store is; 5hours.First, we need to create a model for the work done and how much she earned.
Total earnings = $136.75Total hours worked = 16 hoursLet hours worked at the restaurant = xLet hours worked at the store = (16-x)Hourly rate at restaurant = $10.50Hourly rate at store = $4.25The model is therefore in the form;
$10.50(x) + $4.25(16-x) = $136.75
To determine the no. of hours worked at the fast food restaurant, we have to evaluate the value of x.
Therefore;
10.50x + 68 - 4.25x = 136.756.25x = 68.75x = 11
The number of hours worked by Kara in the restaurant is; 11hours.
The number of hours worked by Kara in her aunt's store is; (16 - 11) hours = 5hours.
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If you can do your homework at a rate of 3 minutes for every problem, how many problems
could be done after 4.81 hours? Round to a whole number.
Answer:
96.2
Step-by-step explanation:
well, it rounds up to 96, so the answer would be 96, but the actual answer is 96.2
Solve the system using multiplication for the linear combination method
6x-3y=3
-2x+6y=14
Answer:
Step-by-step explanation:
(2,3)
Which of the following values of x will result in an imaginary number for
√2x+7
x ≤ -4 will result in an imaginary number. (From the graph it's actually 3.5, so if you want to view in REAL number then it's x ≤ -3.5 which will result in imaginary numbers.)
But if you want an integer then It's x ≤ -4
Real Number as it's x ≤ -3.5
Agrocery store sells 4 avocados for $6.00. What is the unit cost of each avocado?
A) $2.40
B) $0.10
C $1.50
D
$0.60
Solve the equation using the distributive property and properties of equality.
Negative 5 (a + 3) = negative 55
What is the value of a?
Answer:
6
Step-by-step explanation:
-5(a+3)=-55
-5a-15=-55
+15 +15
-5a=-40
/-5 /-5
a=6
Answer:
A = 8
Step-by-step explanation:
-5(a+3)=-55
-5a-15=-55
-5a=-40
-40/-5=8
a=8
Express the following
ratio in its simplest
terms: 4 weeks 6 days
Answer:
it would be 2/3............
Answer:
=4:6
4
6
=2
3
2:3
Step-by-step explanation:
Hope this helps
Pls mark me the brainliest
Find the surface area of the square pyramid shown below.
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Answer:
160 units^2
Step-by-step explanation:
Each of the four triangular faces has an area of ...
A = (1/2)bh = (1/2)(8)(6) = 24 . . . square units
The square base has an area of ...
A = s^2 = 8^2 = 64
Then the total surface area is ...
A = base area + 4 · triangle area
A = 64 + 4(24) = 160 . . . square units
Use this picture and help please
Answer:
This would be 55 degrees because the sum of angles A, B and C = 180 degrees
What is the surface area of a rectangular prism that measures 10 in x 6 in x 4 in?
Answer: 240 in
Step-by-step explanation: 10 x 6 x 4 = 240 in
I hope that helps
Salim walked113miles to school and then212miles to work after school. How far did he walk in all? 316 miles 325 miles 345 miles 356 miles
Answer:
Total distance traveled = 1/3 + 1/2 = 2+3/6 = 5/6 miles
Hope this helps!
Step-by-step explanation:
Pls help
Find the questions?
Answer:
Step-by-step explanation:
(a). - 5t² + 35t - 60 = 0
(b). (x - 3)(x - 4) = 0
(c). t = 3, 4
Twenty five more than twice a number is fifty five. What is the number?
25 + 2x = 55
2x = 30
x = 15
The number is 15
Answer:
Step-by-step explanation:
If the number is 15 then twice is 30 then add 25 = 30 + 25 = 55
Solve 1x = 7(x + 6).
Answer: answer is -7
Step-by-step explanation:
Step-by-step explanation:
Original Equation;
1x=7(x+6)
Multiply the 7 by the x and 6
1x=7x+42
Group like terms
1x-7x=42
-6x=42(Divide both sides by -6)
x= -7 (We have -7 because 42 can be divided by 6 7 times)
reflection across y= -x
Answer:
option A) is correct.
Step-by-step explanation:
As we know that when we reflect across the line [tex]y=-x[/tex], the x-coordinate and y-coordinate would change places and be negated.
So the formula about the reflection across [tex]y=-x[/tex] will be:
(x, y) ⇒ (-y, -x)
From the graph, the vertices of the triangle are:
Vertex U = (-5, -2)Vertex T = (-3, -3)Vertex V = (-5, -5)As the rule of reflection across [tex]y=-x[/tex] will produce the image with the vertices T', U' and V' which are as follows:
(x, y) ⇒ (-y, -x)
U(-5, -2) ⇒ (-y, -x) = U' (2, 5) T(-3, -3) ⇒ (-y, -x) = T' (3, 3) V(-5, -5) ⇒ (-y, -x) = V' (5, 5)So, the vertices of U', T' and V' will be:
U' (2, 5) T' (3, 3) V' (5, 5)Therefore, option A) is correct.
i need helppp!!
worth 10 points
Answer:
I think that it is 120 but not sure
Step-by-step explanation:
sorry if wrong
Who can help me with this for algebra 2
What is the greatest common factor of 24 and 48?
Answer:
Greatest Common Factor: 24
Step-by-step explanation:
The greatest common factor is found by multiplying all the factors which appear in both lists: So the GCF of 24 (2x2x2x3) and 48 (2x2x2x2x3) is 2x2x2x3 which is 24.
The greatest common factor of 24 and 48 is 24.
Here, we have,
To find the greatest common factor (GCF) of 24 and 48,
we can use the prime factorization method:
Step 1: Find the prime factorization of each number.
Prime factorization of 24:
24 = 2 * 2 * 2 * 3
Prime factorization of 48:
48 = 2 * 2 * 2 * 2 * 3
Step 2: Identify the common prime factors and their lowest exponents.
Common prime factors: 2 * 2 * 2 * 3
Step 3: Multiply the common prime factors with their lowest exponents.
GCF(24, 48) = 2 * 2 * 2 * 3 = 24
So, the greatest common factor of 24 and 48 is 24.
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25 pounds of recyclable trash is % ? Of the barrel of 51 pounds of trash
Step-by-step explanation:
25÷100 as it is percentage and any thing percentage is ÷by 100. 25÷100×51=12.75
The heights of women in the USA are normally distributed with a mean of 64 inches and a standard deviation of 3 inches.
Required:
a. A random sample of six women is selected. What is the probability that the sample mean is greater than 63 inches?
b. What is the probability that a randomly selected woman is taller than 66 inches?
c. What is the probability that the mean height of a random sample of 100 women is greater than 66 inches?
Answer:
(a) 0.2061
(b) 0.2514
(c) 0
Step-by-step explanation:
Let X denote the heights of women in the USA.
It is provided that X follows a normal distribution with a mean of 64 inches and a standard deviation of 3 inches.
(a)
Compute the probability that the sample mean is greater than 63 inches as follows:
[tex]P(\bar X>63)=P(\frac{\bar X-\mu}{\sigma/\sqrt{n}}>\frac{63-64}{3/\sqrt{6}})\\\\=P(Z>-0.82)\\\\=P(Z<0.82)\\\\=0.20611\\\\\approx 0.2061[/tex]
Thus, the probability that the sample mean is greater than 63 inches is 0.2061.
(b)
Compute the probability that a randomly selected woman is taller than 66 inches as follows:
[tex]P(X>66)=P(\frac{X-\mu}{\sigma}>\frac{66-64}{3})\\\\=P(Z>0.67)\\\\=1-P(Z<0.67)\\\\=1-0.74857\\\\=0.25143\\\\\approx 0.2514[/tex]
Thus, the probability that a randomly selected woman is taller than 66 inches is 0.2514.
(c)
Compute the probability that the mean height of a random sample of 100 women is greater than 66 inches as follows:
[tex]P(\bar X>66)=P(\frac{\bar X-\mu}{\sigma/\sqrt{n}}>\frac{66-64}{3/\sqrt{100}})\\\\=P(Z>6.67)\\\\\ =0[/tex]
Thus, the probability that the mean height of a random sample of 100 women is greater than 66 inches is 0.
An accountant who is currently earning $42,380 annually expects a 6.5% raise. What is the amount of the
expected raise?
Answer:
$2754.70
Step-by-step explanation:
ANSWER QUICK PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Answer:
case a) y=1/3x+8
case b) y=-3x+28
Step-by-step explanation:
case a)
parallel lines has the same slope, then, the searched line has the form:
[tex]y=\frac{1}{3} x +b[/tex]
Now, in order to find b, we must use the given point (6,10). By substituying this point into the last equation, one has
[tex]10=\frac{1}{3} 6+b\\10=\frac{6}{3} +b\\10=2+b\\b=10-2\\b=8[/tex]
Then, the line equation is y=1/3x+8
case b)
the slope of a perpendicular line is the "negative reciprocal" of the slope of the original line, that is
[tex]m=-\frac{1}{\frac{1}{3} } \\m=-3[/tex]
Hence, the searched line has the form y=-3x + b. Now, in order to find the y-intercept b, we must use the given point (6,10). Therefore,
[tex]10=-3(6)+b\\10=-18+b\\b=10+18\\b=28[/tex]
Hence, the searced equation is y=-3x+28
The land area of a country is about 3.5 million square miles and the population is about 200 million people. What is the average population density?
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Answer:
about 57.1 persons per square mile
Step-by-step explanation:
To find persons per square mile, divide persons by square miles:
(200 million persons)/(3.5 million mi^2) = (200/3.5) persons/mi^2
≈ 57.1 persons/mi^2