A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself. Here, the square root of 401 is about 20.025. Thus, the square root of 401 is not an integer, and therefore 401 is not a square number.
Answer:
apparently In what I believe, 401 is not a perfect square mate!
Step-by-step explanation:
401 is an odd number, because it is not evenly divisible by 2.
A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself. Here, the square root of 401 is about 20.025.
Thus, the square root of 401 is not an integer, and therefore 401 is not a square number.
Complete the sentence to make true statements 5 is 100 times
Complete statement is;
⇒ 5 is 100 times of 0.05.
Here,
We have to make true statements of ''5 is 100 times _____''
What is Fraction?
A fraction represent how many part of a whole.
Now,
Since, 5/100 is equal to 0.05,
Hence, we can say that 5 is the result of multiplying 0.05 by 100.
As, 0.05 x 100 = 5
So, 5 is 100 times of 0.05.
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Beau earns $26.50 per hour for regular hours worked and double
time for any overtime (over 40) he works. He is paid weekly. If he
worked 56.5 hours last week, how much can Beau expect that his
gross pay will be?
Answer:
$1694.5
Step-by-step explanation:
Hourly rate for Beau = $26.50
Weekly hours = 40 Hours
Basic earning = 26.50 × 40 = $820
Total number of hours Beau worked in week = 56.5 Hours
Overtime = 56.5 - 40 = 16.5 Hours
Overtime rate = 2 × Hourly rate = 2 × 26.50 = $53
Overtime earning = 53×16.5 = $874.5
Total earning for the week = 820 + 874.5 = $1694.5
(8a to the 3rd power -3b to the 2nd power) -(-a to the third power +b to the 2nd power)
Simplify
Answer:
7a³-2b²
Step-by-step explanation:
[tex]8a^3-3b^2-(-a)^3+b^2=(8-1)a^3+(-3+1)b^2=7a^3-2b^2[/tex]
_____
Math symbols were invented so that expressions could be written unambiguously. You might find you are more likely to get the answers you need if you use them.
11. During a thunderstorm, 143 out of 333
houses lost electrical power.
a. Write the decimal equivalent for
b. Use Structure What do you notice
about the digits in the decimal
equivalent?
Answer:
a).429 with all numbers repeating
b)They all repeat
The equivalent decimal value is 0.429429 and the number 429 is repeated after the decimal.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
The question is incomplete.
The complete question is:
During a thunderstorm, 143 out of 333
houses lost electrical power.
a. Write the decimal equivalent for 143/333.
b. Use Structure What do you notice about the digits in the decimal equivalent?
As we know from the definition of the fraction, the number 143 is in the numerator and the number 333 is in the denominator.
= 143/333
After dividing:
= 0.429429....
The equivalent decimal value is 0.429429.
As we can see after dividing the number 429 is repeated after the decimal.
Thus, the equivalent decimal value is 0.429429 and the number 429 is repeated after the decimal.
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I need help on number 2.
Greetings!
This is how your double number line should look:
(lbs) 0 1 2 3 4 5
↓-----↓-----↓-----↓-----↓-----↓
0 3.5 7 10.5 14 17.5 (dollars)
Hope this helps!
4.6(x - 3) = -0.4x + 16.2
Hey!
-----------------------------------------------
Steps To Solve:
4.6(x - 3) = -0.4x + 16.2
~Distributive property
4.6x - 13.8 = -0.4x + 16.2
~Add 0.4 to both sides
4.6x - 13.8 + 0.4= -0.4x + 16.2 + 0.4
~Simplify
5x - 13.8 = 16.2
~Add 13.8 to both sides
5x - 13.8 + 13.8 = 16.2 + 13.8
~Simplify
5x = 30
Divide 5 to both sides
5x/5 = 30/5
~Simplify
x = 6
-----------------------------------------------
Answer:
[tex]\large\boxed{x~=~6}[/tex]
-----------------------------------------------
Hope This Helped! Good Luck!
0.282828 to nearest tenth
Answer:
0.3
Step-by-step explanation:
7 is greater than 5 therefore round the tenths value up to 3
Four people invested in a restaurant. One person invested $100,000. Two others invested in
the ratio x:2x, and the fourth person invested an amount equal to the other three investors
combined. The total investment was $ 1,100,000.
Part A
Write an expression for the amount invested by the fourth person.
Answer:
x=$150,000
4th person invested $550,000
Step-by-step explanation:
100,000+x+2x+(100,000+x+2x)=1,100,000
200,000+6x=1,100,000
6x=900,000
x=150,000
The investment of the fourth person is 100,000+3x
=100,000+450,000
=$550,000
The amount invested by the fourth person was $550,000.
What is Ratio?The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.
Given that a person invested $100,000. Two others invested in the ratio x:2x and the fourth person invested an amount equal to the other three investors combined.
We have to determine an expression for the amount invested by the fourth person.
The total investment = $1,100,000.
So an expression for the amount invested by all people as:
⇒ 100,000 + x + 2x + (100,000+x+2x) = 1,100,000
⇒ 200,000 + 6x = 1,100,000
⇒ 6x = 900,000
⇒ x = 150,000
So the investment of the fourth person as
⇒ 100,000 + 3x
⇒ 100,000 + 450,000
⇒ $550,000
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I need help with geometry
A linear pair is supplementary.
It always helps to draw out a diagram with the information you have - it makes the solving process more visual and sometimes easier. I have attached a diagram of this linear pair.
So, since a linear pair is supplementary, we know these two angles add to equal 180°. Let's write this in an equation.
(5n + 15) + (4n + 21) = 180
Solve for n.
(5n + 15) + (4n + 21) = 180
5n + 15 + 4n + 21 = 180
9n + 36 = 180
9n = 144
n = 16
We're not done yet - now we have to plug this in for n to find the angle measures.
5n + 15
5(16) + 15
80 + 15
95
4n + 21
4(16) + 21
64 + 21
85
Lastly, check your work by adding the angle measures.
95 + 85 = 180
Answer:m∠EFG = 95°
m∠GFH = 85°
PLEASE HELP ME WITH THIS AHHHH 15-(21)
Answer:
-6
Step-by-step explanation:
Answer:
Is it 15 Minus 21 (Or) 15 x -21
Step-by-step explanation:
What happens to the graph f(x) = |x/, when f(x) is replaced by 0.3 f(x) +9
Answer:
Step-by-step explanation:
First, the graph is flattened, and secondly, the whole resulting graph is translated upward by 9 units.
what is (68x95)+90÷10=
Hey!
--------------------------------------------
Solution:
Remember to follow PEMDAS.
= (68 * 95) + 90 / 10
= (6,460) + 90 / 10
= 6,460 + 9
= 6,469
--------------------------------------------
Answer:
6,469
--------------------------------------------
Hope This Helped! Good Luck!
In order to find the answer to the question you will have to use PEMDAS and then solve.
[tex](68\times95)+90\div10[/tex]
Using PEMDAS:
[tex]68\times95=6460[/tex]
[tex]6460+90\div10[/tex]
[tex]90\div10=9[/tex]
[tex]6460+9[/tex]
[tex]6460+9=6469[/tex]
[tex]=6469[/tex]
Therefore your answer is "6469."
Hope this helps.
Drag and drop the answers into the boxes to correctly complete the statement.
A sequence of transformations that maps △RST to △R′S′T′ is a _____ followed by a _____
A. reflection across the x-axis
B. Translation 1 unit down
C. Reflection across the y-axis
D. Rotation of 180 degrees about the origin
Answer:
A sequence of transformations that maps △RST to △R′S′T′ is a Reflection across the x-axis followed by a Translation 1 unit down
Step-by-step explanation:
step 1
Find out the reflection of △RST across the x-axis
we know that
The rule of the reflection of a point across the x-axis is
(x,y) -----> (x,-y)
we have
R(1,3),S(1,1),T(4,1)
Applying the rule of reflection across the x-axis
R(1,3) -----> R''(1,-3)
S(1,1) -----> S''(1,-1)
T(4,1) ----> T''(4,-1)
step 2
Find out the translation of △R''S''T'' 1 unit down
The rule of the translation is
(x,y) -----> (x,y-1)
Applying the rule of the translation
R''(1,-3)-----> R'(1,-3-1)
R''(1,-3)-----> R'(1,-4)
S''(1,-1)----> S'(1,-1-1)
S''(1,-1)----> S'(1,-2)
T''(4,-1) ----> T'(4,-1-1)
T''(4,-1) ----> T'(4,-2)
therefore
A sequence of transformations that maps △RST to △R′S′T′ is a Reflection across the x-axis followed by a Translation 1 unit down
Find the area of the region that is NOT shaded .
146 ft^2
122 ft^2
90 ft^2
234 ft^2
Answer:
122 ft^2.
Step-by-step explanation:
This area can be divided into 2 rectangles:
One of size 14 * 4 = 56 ft^2 and
another of size (15 - 4)* 6 = 66ft^2
Total 66 + 56 = 122 ft^2.
Answer:
Step-by-step explanation:
Let's start with the bigger portion of the non-shaded area.
It is 15*6 because it is showing us that the distance between the non-shded area and the shaded area is 6 feet, if we slide that over, it is exactly what we need. So...
15*6=90 feet
Now, the smaller part. BTW, we are pretending there is a line from the bottom left corner of the shaded, straight across to the real line at the 14.
That being said, we need to subtract 6 from 14 to get the dimension.
So...
14-6= 8 feet.
It tells us that the width is 4 feet.
8*4= 32.
Now we have to add. 32+90=122feet squared.
making the answer, B
Hope this helps!!!
Brady
Order these numbers from Least to Greatest 4,209 2,438 4,703 3,026
2,438 3,026 4,209 4,703
Answer: 2,438 3,026 4,209 4,703
Step-by-step explanation:
1-5 Skills Practice
Descriptive Modeling and Accuracy
1. TEST SCORES A teacher compares the ratio of the number of questions answered correctly to the
total number of questions on a test as a metric. For a student to earn and A or B on a test, the ratio
must be greater than or equal to 0.8. The last test given by the teacher had a total of 40 questions.
Using this metric, what is the least number of questions a student can answer correctly and earn an
A or B on the test?
number of questions answered correclty
Ratio to earn an A or B - -
number of questions
Answer:
The least number of questions a student can answer correctly is 32
Step-by-step explanation:
Let
x -----> the number of questions answered correctly
y ----> the total number of questions on a test
[tex]ratio=\frac{x}{y}[/tex]
we know that
For a student to earn and A or B on a test, the ratio must be greater than or equal to 0.8
so
[tex]\frac{x}{y} \geq 0.8[/tex]
For y=40 questions
Find the value of x
substitute
[tex]\frac{x}{40} \geq 0.8[/tex]
solve for x
Multiply both sides by 40
[tex]x \geq 0.8(40)[/tex]
[tex]x \geq 32[/tex]
so
The least number of questions a student can answer correctly is 32
Verify the ratio
For x=32, y=40
[tex]\frac{32}{40}=0.8[/tex]
Compare
[tex]0.8 \geq 0.8[/tex] ----> is ok
Final answer:
This math question involves determining the minimum number of questions a student needs to answer correctly to earn an A or B grade based on a specific ratio criterion.
Explanation:
Mathematics: In this question, we are dealing with a scenario where a teacher evaluates students' test performance based on a specific ratio criterion to determine if they earn an A or B grade. The focus is on determining the minimum number of questions a student must answer correctly to achieve the desired grades.
Step-by-step explanation:
Given that the ratio of correct answers to the total questions must be greater than or equal to 0.8 to earn an A or B.
We know the total number of questions on the test is 40.
To find the least number of questions a student must answer correctly, we calculate 0.8 x 40 = 32.
Therefore, the student needs to answer at least 32 questions correctly to earn an A or B on the test.
What is the sum of 308, 622 and 381.
Answer:
755
Step-by-step explanation:
The sum of 308+622+381=755
The sum of the numbers 308,622, and 381 is 755.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the numbers are 308, 622 and 381. The sum of the numbers will be calculated by adding all the numbers as below,
Sum = 308+622+381
Sum = 755
Hence, the sum of the numbers will be 755.
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what is the image of the point (-8,3) after a rotation of 270 counterclockwise
Answer:
[3, 8]
Step-by-step explanation:
Now, a 90°-clockwise rotation is the exact same as a 270°-counterclockwise rotation, and according to the 270°-counterclockwise rotation [90°-clockwise rotation] rule, you take the y-coordinate, bring it over to your new x-coordinate, and take the OPPOSITE of the x-coordinate and set it as your new y-coordinate:
Extended Rotation Rules
270°-clockwise rotation [90°-counterclockwise rotation] >> (x, y) → (-y, x) 270°-counterclockwise rotation [90°-clockwise rotation] >> (x, y) → (y, -x)180°-rotation >> (x, y) → (-x, -y)So, perform your rotation:
270°-counterclockwise rotation [90°-clockwise rotation] → [-8, 3] moves to [3, 8]
I am joyous to assist you anytime.
The image of the point (-8,3) after a rotation of 270 degrees counterclockwise is (3,8).
The image of the point (-8,3) after a rotation of 270 degrees counterclockwise can be determined by using the concept of rotation of vectors in a coordinate plane. A rotation of 270 degrees counterclockwise is equivalent to a 90 degrees clockwise rotation. To rotate a point, you can use the rotation matrix:
For a 90 degrees clockwise rotation, the rotation matrix is:
[0 1]
[-1 0]
Applying this matrix to point (-8,3) gives us:
[0 1] [-8]
[-1 0] [3]
Which results in:
[3]
[8]
Therefore, the new coordinates after rotation will be (3,8).
A bag contains 7 red marbles, 5 yellow marbles, 6 blue marbles, 4 green marbles, and 3 orange marbles. What is the probability of randomly selecting a yellow marble out of the bag?
A . 1/5
B . 1/2
C . 3/5
D . 3/4
Answer:
A. 1/5
Step-by-step explanation:
Add all the numbers up, you get 25. There is 5 yellow marbles, so that's a 5/25 chance of picking a yellow one, now you just have to simplify, you then get 1/5, because 5 ÷ 5 is 1, and 25 ÷ 5 is 5.
3 The volume of a cube is 8 ft}. What is the length of each
edge of the cube?
Answer:
The correct answer is 4.
Step-by-step explanation:
You used an app to hire a repair worker to do a series of small repairs around your office. The worker charges $54 for the first hour, and $15.50 for each additional 15 minutes. If the worker charged you $162.50, how long did the repairs take?
The repair took:
2 hours and 45 minutes.
Step-by-step explanation:The worker charges $54 for the first hour, and $15.50 for each additional 15 minutes.
Let he does a job of additional 15 minutes for: x times.
This means that:
Cost for additional minutes will be: $ 15.50x
Hence, his total cost will be equal to: 54+15.50x
i.e.
54+15.50x=162.50
i.e.
15.50x=162.50-54
i.e.
15.50x=108.50
i.e.
x=108.50/15.50
x=7
Hence, the work took a total of:
60+15×7=165 minutes
which is: 2 hours and 45 minutes.
Viola and Paige stand next to each other and kick soccer balls in the air. The
path of Viola's ball is described by the equation y=-3x2 + 6x + 3. The path of
Paige's ball is shown by the graph.
In each function, x is the horizontal distance the ball travels in meters, and y
represents the height.
Whose soccer ball reaches a greater height?
O
A. Both soccer balls reach the same height
O
B. Viola's soccer ball
O
C. Paige's soccer ball
Answer:
C. Paige's soccer ball.
Step-by-step explanation:
When you graph y = 3x^2 + 6x + 3, you can see that the max of the parabola is around 6. This is lower compared to Paige's soccer ball's max height shown in the image.
Answer:
C. Paige's soccer ballStep-by-step explanation:
To solve this problem, we just need to graph Viola's function to know the altitude she reached, and then compare it with Paige's altitude.
So, we know that Viola's function is [tex]y=-3x^{2}+6x+3[/tex], as an extra solution, we can calculate the vertex of this quadratic function, that will give us Viola's max altitude.
[tex]V(v_{x};v_{y})\\V(\frac{-b}{2a};f(v_{x} ))[/tex]
Where b and a are from the general quadratic function: [tex]y=ax^{2} +bx+c[/tex].
So, in this case, a = -3; b = 6. Replacing this values, we find the vertex:
[tex]V(\frac{-b}{2a};f(v_{x} ))[/tex]
[tex]v_{x}= \frac{-b}{2a}=\frac{-6}{2(-3)}=1[/tex]
Then, we use the function to calculate the vertical coordinate of the vertex:
[tex]v_{y}=f(1)=-3(1)^{2}+6(1)+3=-3+6+3=6[/tex]
Therefore, the max altitude reached by Viola is 6 meters.
Now, from the graph, we observe that Paige's max altitude is around 7.5 meters.
Therefore, Paige reached the higher height. The answer is C.
A triangle has sides with lengths of 5x – 7,
3x -- 4, and 2x – 6. What is the simplified
expression for the perimeter of the triangle?
Answer:
10x - 17
Step-by-step explanation:
Perimeter is the sum of all sides
5x - 7 + (3x - 4) + (2x - 6)
10x - 7 - 4 - 6
10x - 17
If t = -3, then 3t2 +5t+6 equals
If ( t = -3 ), then [tex]\( 3t^2 + 5t + 6 \)[/tex] equals 0.
To find the value of [tex]\( 3t^2 + 5t + 6 \)[/tex] when ( t = -3 ), substitute (-3) for ( t ) in the expression:
[tex]\[ 3(-3)^2 + 5(-3) + 6 \][/tex]
= 3(9) - 15 + 6
= 27 - 15 + 6
= 12 - 15
= -3
Therefore, when ( t = -3 ), \[tex]( 3t^2 + 5t + 6 \)[/tex] evaluates to (-3).
Understanding how to substitute values into algebraic expressions is fundamental in algebra. In this case, replacing ( t ) with (-3) allows us to find the specific value of the expression for that given input.
It's worth noting that this expression equals 0 for ( t = -3 ). This is an interesting mathematical result, indicating that the expression [tex]\( 3t^2 + 5t + 6 \) factors as \( (t + 3)(3t + 2) \),[/tex] making it equal to 0 when either \[tex]( t = -3 \) or \( t = -\frac{2}{3} \).[/tex] This connection between factors and roots is a crucial concept in algebra.
Find the value of x ( please explainn)
Answer:
The value of x is 62°.
Step-by-step explanation:
It's 62° because it's a right angle (from the small box) . So you would do the given measurement (28°) and subtract that from 90°.
Which of the following pollygons cannot be used to form a regular tessellation
Answer:
B and C
Step-by-step explanation:
it is not like the other 3look at the angle sumthe angle sum of the interior angles of the regular polygons at a point add up to 360 degrees.looking at what I wrote in 3 we can see clearly why those polygons cannot tessellate .the sums of the interior angles are either greater than or less than 360 degrees .Find the exact radius of a circle with circumference 28pi meters.
Answer: The radius is 14 units.
Step-by-step explanation:
Start by finding the diameter, the formula for circumference is πd, So set up an equality:
28π=c
28π=πd
Divide both sides by π:
28π/π = 28πd/π
Cross out π:
28 = d
diameters twices largest radius, divide your diameter by 2 to get radius.
D/2 = r = 28/2 = 14
Therefore, your radius is 14 units.
The first term of an AP is -1/2 and it's common difference is 4. Find the 9th term
Answer:
[tex]\frac{63}{2}[/tex]
Step-by-step explanation:
The n th term of an arithmetic progression is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - [tex]\frac{1}{2}[/tex] and d = 4, thus
[tex]a_{9}[/tex] = - [tex]\frac{1}{2}[/tex] + (8 × 4) = - [tex]\frac{1}{2}[/tex] + 32 = [tex]\frac{63}{2}[/tex]
can you guys solve 2 through 4? thanks, worth 40 points
Answer:
7, B, 24
Step-by-step explanation:
2 . x+12 = 19
So what added to twelve equals 19? Well, 7 added to 12 is nineteen so that means x is equal to 7.
3. Inverse means opposite, so then number three would be B.
4. Finding the inverse means the opposite so subtracting the inverse of 24 is just 24 because those are opposites.
3y + 1 - 2y = -3 - 3y
Answer:
Step-by-step explanation:
3y + 1 - 2y = -3 -3y
4y = -4
y = -1
Answer:
y=-1
Step-by-step explanation:
First you combine like terms.
1y+1=-3-3y
Then you add 3 on both sides so the -3 cancels out.
1y+4=-3y
Then you subtract 1y on both sides to cancel out y.
4=-4y
Then you divide both sides by -4 to get y by itself.
y=-1