Answer:
Although square roots are generally taken to be positive, a square root can be negative as a negative number multiplied by a negative number is always positive.
Step-by-step explanation:
In general, when someone is asking for a square root, they are seeking the positive value. This is called the principal square root. However, square roots can also be negative. Thus, the number -6 can be a square root of the number 36, just not a principal square root. So the negative square root is the same number as the principal square root, but the negative version. The negative square "squared" will give the same positive result as the principal square root, for instance,
3⋅3=9 and −3⋅−3=9.
Answer: The correct answer is 0. Negative numbers don't really have any square roots since a square cannot be negative it can only be positive or a 0.
Step-by-step explanation: I hope this helps!
Solve four-sixths minus three-fifths equals
Answer:
D 1/15 or 2/30
Step-by-step explanation:
Just make sure your subtracting and making sure that the answer choices don't throw you off, reduce all of the answers
Answer:
2/30
Step-by-step explanation:
4/6-3/5
We have to find common denominator
30 is a common factor so we change both fractions to have a denominator of 30
4x5/6x5-3x6/5x6
20/30-18/30
Now we subtract numerators and keep denominators the same
2/30
Hopes this helps please mark brainliest
Is 24 simplified expression
Type the missing number to complete the proportion. 18 deliveries in 3 hours = deliveries in 1 hour
Answer:
6 deliveries in 1 hour
Step-by-step explanation:
18 / 3 = 6
Amy made $154 for 11 hours of work
At the same rate, how many hours would she have to work to make $126?
Answer: 9 hours
Step-by-step explanation:
Amount of money/ amount of hours worked
154/11 = 14
$14 made per hour, so $126 divide by 14 would equal to how many hours worked to have a same rate of $14 per hour.
126/14 = 9
AEFC is a Rectangle
Find:
1) ZX=
2) ZY =
3) ZZ =
Explain:
Explain:
Explain:
Step-by-step explanation:
X = 51. Parallel line angle rules, alternate angle is equal.
Straight angle is 180
Right angle is 90
Y = 180 - 51 - 90 = 39
Z = Y = 39. Parallel line angle rules, alternate angle is equal.
A store sells 12 cans of soup for $7. 50 how much would it cost to purchase 6 cans of soup?.
Answer: $3.75
Step-by-step explanation:
Answer:
The cost of 6 cans of soup is 3.75
Step-by-step explanation:
12 = 7.50
1 can = x
12x = 7.50
We need to find the cost of 1 can. So we divide 7.50 by 12.
x = 0.625
Then multiply by 6.
0.625 x 6 = 3.75
As a result the cost of 6 cans of sup is $3.75
Supplemental Activities - Ch 1
Steps to solve an inequality Active
Prompt
What are the steps in solving the below inequality?
2x - 3 > 15
x [tex]\geq[/tex] -9; x [tex]\leq[/tex] 6 or in interval notation [-9,6]
To find out what are the steps in solving the below inequality:
Given equation is 2x - 3 > 15
The absolute value function takes any term and transforms it to its non-negative form. Therefore, we must solve the term within the absolute value function for both its negative and positive equivalent.
−15≤2x-3≤15
First, subtract 3 from each segment of the system of equations to isolate the x term while keeping the system balanced:
−15−3≤2x-3−3≤15−3
−18≤2x-6≤12
−18≤2x-6≤12
Now, divide each segment of the system by 2 to solve for x while keeping the system balanced:
[tex]-\frac{18}{2}\leq \frac{2x}{2} \leq \frac{12}{2}[/tex]
-9 [tex]\leq[/tex] x [tex]\leq[/tex] 6
or
x [tex]\geq[/tex] -9; x [tex]\leq[/tex] 6
or in interval notation [-9,6]
on the horizontal axis.
The lines will be a solid line because the inequality operators contain "or equal to" clauses.
We will shade between the lines to show the interval:
Hence the steps to solve an inequality has been show
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The sum of an integer and 4 times the next consecutive even integer is 58. Find the
value of the greater integer.
By solving a linear equation, we will see that the value of the greater integer is 12.
How to find the greater integer?Let's define x as the smaller integer, then the greater integer is:
x + 2
(is +2 because is the next consecutive even integer)
We know the sum of an integer and 4 times the next consecutive even integer is 58.
So we can write the linear equation:
x + 4*(x + 2) = 58
x + 4x + 8 = 58
5x = 58 - 8
5x = 50
x = 50/5
x = 10
Then the greater integer is x + 2 = 10 + 2 = 12
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A shape is picked at random from the group below.
2 circles, 4 triangles, and 2 squares.
Which event has a theoretical probability of exactly Three-fourths? Select three options.
not picking a square
picking a square
picking a triangle
picking a shape that has only straight edges
not picking a circle
*EDIT* sry about the first time I was trying to look it up and only had that part
The events that have probability of exactly three-fourths are
(a) not picking a square ,
(d) picking shape that has only straight edges ,
(e) not picking a circle .
In the question ,
it is given that ,
there are 2 circles , 4 triangles , 2 squares .
(a) probability of not picking a square = ( circles + triangles )/total
= 6/8 = 3/4
(b) probability of picking a square = number of square / total figure
= 2/8 = 1/4
(c) probability of picking up a triangle = 4/8 = 1/2
(d) probability of picking up shape with straight edge = ( triangle + square) / total
= 6/8 = 3/4
(e) probability of not picking a circle = ( triangle + square) / total
= 6/8 = 3/4 .
Therefore , The events that have probability of exactly three-fourths are
(a) not picking a square ,
(d) picking the shape that has only straight edges ,
(e) not picking a circle .
The given question is incomplete , the complete question is
A shape is picked at random from the group of 2 circles, 4 triangles, and 2 squares .
Which event has a theoretical probability of exactly Three-fourths? Select three options.
(a) not picking a square
(b) picking a square
(c) picking a triangle
(d) picking shape that has only straight edges
(e) not picking a circle
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i need help, which one is it???
Answer
the one on the bottom left
Step-by-step explanation:
Write the equation of a sine or cosine function to describe the graph.
Answer:
Step-by-step explanation:
first of all the graph is shifted up by 1 then we should add 1 to the function we have.
after that its obvious that the function is sine because if we remove the 1 we add it then it will be 0 when the angle is 0.
the function we have now is y = 1 + sin(ax).
to know the value of a we choose an angle we already know its sine for example:
2 = 1 + sin(a * 1/8)
1 = sin(a * 1/8)
sin-1(1) = PI/2 = a*1/8 => PI = 180
a = 4 * PI
at the end we will have => y = 1 + sin(4PI * x).
Select the correct answer.
What are the attributes of the boundary line of this inequality?
-3x − 2y < 6
A.
The line is solid with a y-intercept at (0,-2) and slope of
B.
The line is solid with a y-intercept at (0,-3) and slope of -
C.
The line is dashed with a y-intercept at (0,-2) and slope of
D.
The line is dashed with a y-intercept at (0,-3) and slope of -
The line is dashed with a y-intercept at (0,-2) and slope of -3/2 which is a correct option(C)
What is inequality?Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.
-3x - 2y <6
Let's consider an equation of a line,
-3x-2y = 6
-2y = 3x + 6
y = -3/2x - 3
So, slope = -3/2
Substitute y =0 in the equation of a line
So, y-intercept at (0,-2)
Due to Inequality, the graphical representation of the line is a dashed line.
Hence, the line is dashed with a y-intercept at (0,-2) and a slope of -3/2
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QUESTION 6/10 HELP ASAPP
Answer:
Bottom left option is correct.
Step-by-step explanation:
Now we have to find,
→ the table represents y as function of x.
Then the table will be,
→ | x || y |
| -1 || -1 |
| 0 || -1 |
| 2 || 0 |
| 3 || 2 |
(Because the values of x is not repeated)
Hence, bottom left option is correct.
Table number three represents y as a function of x.
What is a function?A function is defined as the expression that set up the relationship between the dependent variable and the independent variable.
The expression that established the relationship between the dependent variable and independent variable is referred to as a function. In the function as the value of the independent variable varies the value of the dependent variable also varies.
The data in table number 3,
x y
-1 -1
0 -1
2 0
3 2
The above table has different values of input and the other tables have different values of output at the same value as the input which is not possible.
Therefore, table number three represents y as a function of x.
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Finding Angle Measures When Parallel Lines Are Cut By a Transversal
Answer:
<3, < 6, <7 are all 102,
<1, <4, <5 and <8 are all 78
Step-by-step explanation:
If you slide angles 1, 102, 3 qnd 4 down along p, they will fit perfectly over 5,6,7 and 8. So if you find the top four angles, you have found the bottom 4 angles.
<3 is a vertical angle to 102 and vertical angles always have the same measurement.
Angles 1 and 4 are supplemental to 102. That means that the two angles will add to 180. 180 - 102 = 78
PLEASEEEEE HELP MEEEE MATHHHHHHHHHHHHHH SUCKS FOR ME
To calculate control limits, 20 subgroups of ______ must be saved. Definition.
A. five sets.
B. five subsets.
C. five samples.
Answer:
C. five samples.
Step-by-step explanation:
What’s the answer to this ?
1. The measure of angle H is 79 degrees
2. The measure of angle G is 54 degrees
What is isosceles triangle?
An isosceles triangle is one that has two sides of equal length.
The angles opposite to equal sides are equal.
1. Given is isosceles triangle
∠H=∠O = x
sum of all interior angles of a triangle= 180 degrees
22+x+x=180
2x+22=180
2x=158
x=158/2=79
So, ∠H=79
2. Given is isosceles triangle
∠D=∠O = 63
Let ∠G=x
sum of all interior angles of a triangle= 180 degrees
63+63+x=180
x+126=180
x=180-126=54
So, ∠G=54
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As part of his semester project, a byu-idaho introductory statistics student calculates a 95% confidence interval for the true percentage of byu-idaho students who are from latin america. What does the phrase 95% confidence mean?.
"95% confidence interval" means that there is a 95% chance that the true fraction falls within the computed confidence interval.
Confidence Intervals: Confidence intervals are the range of estimates for unknown parameters.
Confidence intervals are more than just a range of estimated values. It also tells you how stable the estimates are. A stable estimate is an estimate that has approximately the same value if the study is repeated. An unstable estimate is one that would vary from one sample to another.
The confidence interval determines the range that one can be certain that contains the true mean of the population.
This means that, The 95% confidence means, there is a 95% chance that the true proportion will be in the calculated confidence interval or 95 percent confidence interval, you have a 5 percent chance of being wrong.
Hence, the true statement that represents "95% confidence interval" is chance of true fraction of sucess.
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The figures below show the top view and right-side view of a rectangular prism that is completely packed with unit cubes.
How many unit cubes would it take to completely fill the prism with no gaps between unit cubes?
The number of unit cubes it would take to completely fill the prism with no gaps between unit cubes is 72
Calculating the number of cubes required to fill a prismFrom the question, we are to determine how many unit cubes it would take to completely fill the prism with no gaps between unit cubes.
To do this, we will calculate the volume of rectangular prism
Assuming each cube is 1 cubic unit
Then,
From the top view,
The length of the rectangular prism = 9 units
The width of the rectangular prism = 2 units
From the Right-side view,
The height of the rectangular prism = 4 units
Thus,
The volume of the rectangular prism = 9 × 2 × 4
Volume of the rectangular prism = 72 cubic units
Now,
Number of cubes required to fill the rectangular prism = Volume of the prism / Volume of the cubes
Number of cubes required to fill the rectangular prims = 72 / 1
Number of cubes required to fill the rectangular prims = 72
Hence, the number of unit cubes it would take is 72
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find perimeter and area of composite figure
the perimeter of the composite figure is 20cm and its area is 37cm².
what is perimeter ?
Perimeter is the total length of the boundary of a two-dimensional shape or figure. In other words, it is the distance around the outside of a shape. To find the perimeter of a shape, you simply add up the lengths of all its sides.
In the given question,
To find the perimeter of the composite figure, we need to add up the lengths of all the sides.
Starting from the left side of the figure, we have a vertical line segment of length 6cm, followed by a horizontal line segment of length 5cm, then another vertical line segment of length 2cm, followed by a slanted line segment of length 3cm, then another horizontal line segment of length 2cm, and finally, a vertical line segment of length 2cm.
So the perimeter of the composite figure is:
Perimeter = 6cm + 5cm + 2cm + 3cm + 2cm + 2cm
Perimeter = 20cm
To find the area of the composite figure, we can break it down into simpler shapes and add up their areas.
The composite figure can be split into two rectangles, one with dimensions 6cm x 5cm and the other with dimensions 2cm x 2cm, and a right triangle with base 3cm and height 2cm.
The area of the first rectangle is:
Area = length x width
Area = 6cm x 5cm
Area = 30cm²
The area of the second rectangle is:
Area = length x width
Area = 2cm x 2cm
Area = 4cm²
The area of the right triangle is:
Area = (base x height) / 2
Area = (3cm x 2cm) / 2
Area = 3cm²
Therefore, the total area of the composite figure is:
Area = 30cm² + 4cm² + 3cm²
Area = 37cm²
So the perimeter of the composite figure is 20cm and its area is 37cm².
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Look at the picture and answer the four questions
Answer:1=translation, 2= translation, 3=rotation, 4= reflection
Step-by-step explanation:
A person invests 5000 dollars in a bank. The bank pays 6.25% interest compounded quarterly. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 6500 dollars?
Based on the calculation below, the number of years the person must leave the money in the bank until it reaches 6500 dollars is 4.3 years.
How long must money be left in a bank to reach a particular amount?This can be calculated using the formula for calculating the future value (FV) as follows:
FV = PV(1 + r)^n ......................... (1)
Where:
FV = future value or the amount in the bank after certain years = 6500
PV = present value or the amount invested = 5000
r = quarterly interest rate = 6.25% / 4 = 0.0625 / 4 = 0.015625
n = number of quarters
Substituting relevant values into equation (1) and solve for n, we have:
6500 = 5000(1 + 0.015625)^n
6500 / 5000 = 1.015625^n
1.3 = 1.015625^n
Log linearize both sides, we have:
log1.3 = n * log1.015625
0.1139 = n0.0067
n = 0.1139 / 0.0067
n = 17 quarters
Number of years the money must be in the bank = n / number of quarters in a year = 17 / 4 = 4.25 years
To the nearest tenth of a year, we have:
Number of years the money must be in the bank = 4.3 years
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Answer:
Its actually 4.2
Step-by-step explanation:
saw it on delta
4 units squares each 5/7
Question:
4 unit squares each have 5/7 of their area shaded. What is the total area that is shaded?
The total area that is shaded=20/7 unit squares
What is the area?
A two-dimensional figure's area is the amount of space it takes up. In other terms, it is the amount that counts the number of unit squares that span a closed figure's surface. In general, square units such as square inches, square feet, etc. are used as the standard unit of area.
The total area= 4*(5/7)=20/7
This cannot be simplified any more than it is
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Solve each of these equations. Explain or show your reasoning. Reduce all fractions in the lowest terms. Do not convert fractions into decimals.
You'll need to show ALL of your work to receive points.
1. 3b + 9 -5b + 3 = -14 + 6b - 8
2. 2x + 5 - 4x + 8 = 5(5 + 6x) - 12x
I can help you!
Answer:
1) b = 17/4
2) x = -3/5
Step-by-step explanation (question one):
Step 1: Simplify both sides of the equation.
3b +9 + −5b + 3 = −14 +6b +−8
(3b +−5b) +(9 +3)=(6b) +(−14 + −8) (Combine Like Terms)
−2b +12 = 6b −22
Step 2: Subtract 6b from both sides.
−2b +12 −6b = 6b −22 −6b
−8b +12 = −22
Step 3: Subtract 12 from both sides.
−8b +12 −12 = −22 −12
−8b = −34
Step 4: Divide both sides by -8.
(-8b/-8) = (-34/-8)
Step 5: Get your Answer
b = 17/4
Step-by-step explanation (question two):
Step 1: Simplify both sides of the equation.
2x +5 + −4x +8 = (5)(5) +(5)(6x) + −12x (Distribute)
2x +5 + −4x +8 = 25 +30x + −12x
(2x+−4x) + (5+8) = (30x +−12x) +(25) (Combine Like Terms)
−2x +13 = 18x +25
Step 2: Subtract 18x from both sides.
−2x +13 −18x= 18x +25 −18x
−20x +13 = 25
Step 3: Subtract 13 from both sides.
−20x +13 −13 = 25 −13
−20x=12
Step 4: Divide both sides by -20.
(-20x/-20) = (12/-20)
Step 5: Get your Answer
x = -3/5
Hope this helped you, good luck with your homework!
Find both unit rates.
They paid $96.88 for 8 pizzas.
Question 1 options:
$12.11/pizza and about 0.08 pizza/dollar
A: $12.11 pizza/dollar and about $0.08/pizza
B: $96.88/pizza and about 8 pizzas/dollar
C: 8 pizzas/dollar and about $96.88/pizza
Answer:
A
Step-by-step explanation:
√(14)*(3 √(7) + √(32) - √(28) + 2 √(2))
Answer:
27√2 -2√7 ≈ 32.8923
Step-by-step explanation:
Apparently, you want to simplify the expression √(14)*(3 √(7) + √(32) - √(28) + 2 √(2)).
Rules of radicals(√a)(√b) = √(ab)
√(a²b) = a√b
Application[tex]\sqrt{14}\cdot3\sqrt{7}+\sqrt{32}-\sqrt{28}+2\sqrt{2}\\\\=3\sqrt{14\cdot7}+\sqrt{4^2\cdot2}-\sqrt{2^2\cdot7}+2\sqrt{2}\\\\=3\sqrt{7^2\cdot2}+4\sqrt{2}-2\sqrt{7}+2\sqrt{2}=(3\cdot7+4+2)\sqrt{2}-2\sqrt{7}\\\\=\boxed{27\sqrt{2}-2\sqrt{7}}[/tex]
Simplify the expression.
Answer:
A
Step-by-step explanation:
-1/5 j + 3/4 - 5/2 j - 7/8 =
= (-2-25)/10 j + (6-7)/8 =
= -27/10 j - 1/8
Select the correct answer from each drop-down menu. A transversal t intersects two parallel lines a and b, forms two groups of angles. On top line a, starting from the top left, clockwise, angles are 1, 2, 3, and 4. On below line b, starting from the top left, clockwise, angles are 5, 6, 7, and 8. In the figure, , and both lines are intersected by transversal t. Complete the statements to prove that m∠1 = m∠5. (given) m∠1 + m∠3 = 180° (Linear Pair Theorem) m∠5 + m∠6 = 180° (Linear Pair Theorem) m∠1 + m∠3 = ∠5 + ∠6 ( ) m∠3 = m∠6 ( ) m∠1 = m∠5 (Subtraction Property of Equality)
The angles formed between the parallel lines a and b and their common transversal are; on line a; 1,2,3,4. On line b; 5,6,7,8,
A two column table can be used to prove m∠1 = m∠5 with the correct options underlined as follows;
Statements [tex]{}[/tex] Reasons
1. a ║ b [tex]{}[/tex] 1. Given
2. m∠1 + m∠3 = 180° [tex]{}[/tex] 2. (Linear pair Theorem)
3. m∠5 + m∠6 = 180° [tex]{}[/tex] 3. (Linear pair Theorem)
4. m∠1 + m∠3 = m∠5 + m∠6 [tex]{}[/tex]4. (Substitution property of equality)
5. m∠3 = m∠6 [tex]{}[/tex] 5. (Alternate interior angles)
6. m∠1 = m∠5 [tex]{}[/tex] 6. (Subtraction Property of Equality)
What are parallel lines?Parallel lines are lines on the same plane that do not intersect or have a common point as they extend indefinitely in both directions.
The theorems and properties used to prove that the angles m∠1 = m∠5 are as follows
Linear pair theorem;
The linear pair theorem states that two angles that together form a linear pair are supplementary angles (Add up to 180°)
Substitution property of equality;
The substitution property of equality states that if two variables have the same value, then one variable can replace the other variable in equations and expressions without changing their value.
Subtraction property of equality
The subtraction property of equality states that when the same quantity is subtracted from two equal expressions, the values of the new expressions will also remain equivalent
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can you substitute -4x-y=4 and y=2x+2
Answer:
yes, by x=-1, y=0
Step-by-step explanation:
y=-4x-4
y=2x+2
-4x-4=2x+2
6x=-6
x=-1
y=0
A car service charges $2.40 for driving 1 mile. How much does the company charge for
driving 12.45 miles?
Answer:
no se Perdóname
Answer:
since 1 mile charge is $2.40
Then 12.45 miles is
2.40×12.45
=$29.88