Answer:
Step-by-step explanation:
we should divide it by 3 to get a perfect square .and the square root of the perfect square is 49
[tex]\begin{gathered}\:\:\:\:\:\:\:\:\:\:\:\begin{gathered} \begin{array}{c|c} \underline{\sf{3}}& {\sf{ \underline{ \pink{7203} \: } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }} \\ \underline{\sf{7}}&{\sf{ \underline{2401 \: \: \: }\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }} \\\underline{\sf{7}}&{\sf{ \underline{343 \: \: \: \: \: }\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }} \\\underline{\sf{7}}&{\sf{ \underline{49\: \: \: \: \: }\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }} \\\underline{\sf{7}}&{\sf{ \underline{7 \: \: \: \: \: }\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }} \\\underline{\sf{}}&{\sf{ 1 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }} \end{array}\end{gathered}\end{gathered}[/tex]
[tex]\qquad[/tex][tex]\purple{ \bf\longrightarrow 7203 = 3 \times 7 \times 7 \times 7 \times 7} [/tex]
Clearly 3 has no pair! That means if we divide 7203 by 3, we get 2401 which is the square of 49. Hence, the smallest number by which 7203 must be divided to make the result a perfect square is 3.____________________________________________
Pentagon TEXAS has vertices at T(1, 8), E(3, 8), X(6, 2), A(3, 2), and S(1, 4). What is the area of Pentagon TEXAS?
341.5 square units
18.5 square units
17 square units
19 square units
The area of the pentagon is 19 square units
The coordinates of the pentagon are given as:
[tex]T = (1, 8)[/tex]
[tex]E =(3, 8)[/tex]
[tex]X =(6, 2)[/tex]
[tex]A=(3, 2)[/tex]
[tex]S = (1, 4)[/tex]
The area of the pentagon is then calculated using:
[tex]Area = \frac 12|(x_1y_2+x_2y_3+x_3y_4+x_4y_5+x_5y_1) -(y_1x_2+y_2x_3+y_3x_4+y_4x_5+y_5x_1)|[/tex]
So, we have:
[tex]Area = \frac 12|(1 \times 8 +3 \times 2+6\times2+3 \times 4 + 1 \times 8) -(8\times3+8\times6+2\times3+2\times1+4\times1)|[/tex]
Simplify the expressions in both brackets
[tex]Area = \frac 12|46 -84|[/tex]
[tex]Area = \frac 12|-38|[/tex]
Remove absolute bracket
[tex]Area = \frac 12 \times 38[/tex]
[tex]Area = 19[/tex]
Hence, the area of the pentagon is 19 square units
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You roll three six-sided dice. What is the probability that exactly two of the dice are odd? Write your answer as a fraction in simplest form.
The probability is
Answer:
1/4
Step-by-step explanation:
Evaluate.
−[4.1−3(2.2)](−0.2)2+2
What is the value of the expression?
Enter your answer as a decimal in the box.
64.5
Explanation:
-(4.1-3(2.2))=2.5
2.5÷(-0.2)^2=62.5
62.5+2=64.5
THEREFORE
the answer is 64.5
The solution of the mathematical expressions will be 64.5
What is Number system?
A system of writing to express the number is called number system.
Given that;
The mathematical expressions are,
⇒ −[4.1 - 3 (2.2)] / (-0.2)² + 2
Now,
Solve the expression as;
⇒ −[4.1 - 3 (2.2)] / (-0.2)² + 2
Using the BODMAS rule to solve the expressions as;
⇒ −[4.1 - 3 (2.2)] / (-0.2)² + 2
⇒ - [ 4.1 - 6.6 ] / (-0.2)² + 2
⇒ - [-2.5] / (-0.2)² + 2
⇒ 2.5 / 0.04 + 2
⇒ 62.5 + 2
⇒ 64.5
Therefore,
The solution of the mathematical expressions will be 64.5
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Which equations are true equations?
Select all correct answers.
24/2^2=50−62−8
56÷8+32=2⋅23
82−52=42−7
39−3⋅6=6⋅104+4
Answer: 24/2^2=50−62−8
Step-by-step explanation:
The equations which is true equation is 24/2² = 50−6²−8.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
1. 24/2² = 50−6²−8
LHS = 24/2² = 24/4 = 6
RHS = 50−6²−8 = 6
2. 56÷8+32=2⋅23
LHS = 56÷8+32 = 7 + 32 = 39
RHS = 2⋅23 = 46
3. 8²−5² =4²−7
LHS = 8²−5² = 39
RHS = 4²−7 = 21
4. 39−3⋅6=6⋅104+4
LHS = 39−3⋅6 = 35.4
RHS = 6⋅104+4 = 528
Hence, we can conclude that the equation 24/2² = 50 − 6² − 8 is true.
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Plc help! Factor completely 2a^3b-ab^3-1 2/3ab^3-a^3b-4 1/2a^2b-1/2a^2b
Answer:
116−−√
110−−√
14√
18√
Step-by-step explanation:
Unit 1C Quiz
3 of 83 of 8 Items
Question
An Uber driver charges a flat fee of $5.50, plus $1.50 per mile. Which of the following equations represents the total cost y of a ride that is x miles long.
a. y=1.5+5.5
b. y=4x
c. y=5.5x +1.5
d. y=7x
Answer:
y = 1.5x + 5.5
Step-by-step explanation:
None of them are correct. The correct answer, y = 1.5x + 5.5, is not listed.
how to solve the following system y=(1/2)x^2+2x-1 and 3x-y=1
Answer:
(0,-1),(2,5)
Step-by-step explanation:
3x-y=1
0.5[tex]x^{2}[/tex]+2x-1=y
Substitute the equation of y into the other equation
3x-(0.5[tex]x^{2}[/tex]+2x-1)=1
3x-0.5[tex]x^{2}[/tex]-2x+1=1
collect like terms
-0.5[tex]x^{2}[/tex]+x=0
Solve for x
x(-0.5x+1)=0
0=-0.5x+1
-1=-0.5x
x=2 x=0
Back substitute into the other original equation and solve for y
3(2)-y=1
6-y=1
y=5
(2,5)
3(0)-y=1
-1(-y)=-1(1)
y=-1
(0,-1)
levi is a salesperson who sells computers at an electronics store he makes a base pay of $60 each day and then is paid a $5 commission for every computer sale he makes make a table of values and then write an equation for p in terms of x representing Levi's total pay on a day on which he sells x computers
Answer:
equation : P(x) = 5x+60
Table :
If x (levi sells this many computers)
then y (levi makes this much money)
x : 0 ; 1 ; 2 ; 3 ; 4 ; 5 so on...
y : 60 ; 65 ; 70 ; 75 ; 80 ; 85 so on...
Step-by-step explanation:
This equation can be modeled by P(x) = 5x+60
P= levi's total pay
x = number of computers sold
This equation can be input into a graphing calculator to find a table of the corresponding x and y values for this equation. To solve without using a calculator, plug in a certain value for x in the equation and solve for y to get its corresponding value.
what is 1,625 if you write it as a mathematical fraction?
Answer:
there are lots of ways. some of them are
1625/2, 3250/2, 4875/3........
Which of the ordered pairs are solution to 4+3x=-2y
Answer:
I Believe the answer is (3x,-6y)
Step-by-step explanation:
From your equation 4+3x=2y you first want to isolate the variable ( Variable means letter or number with letter), so you isolate 3x and dont do anything to it. You do the opposite of what the equation is telling you , so 4+3 will change to 4-3 , then you subtract 4 from 4 itself then from 6 making you get -6 then you bring down the 3x and you have your answer (3x,-6y) , I hope this helps.
Answer:
I Believe the answer is (3x,-6y)
From your equation 4+3x=2y you first want to isolate the variable ( Variable means letter or number with letter), so you isolate 3x and dont do anything to it. You do the opposite of what the equation is telling you , so 4+3 will change to 4-3 , then you subtract 4 from 4 itself then from 6 making you get -6 then you bring down the 3x and you have your answer (3x,-6y).
What is the following expression?
3x2 + 5
1.monomial
2.binomial
3 neither
Answer:
Assuming the 2 in 3x2 is an exponent, then it is binomial.
Step-by-step explanation:
A binomial is an expression with two terms, in this case those two terms are 3x^2 and 5
Answer:
2.binomial
Step-by-step explanation:
3x2=1
5=2
so its a binomial
Simplify.
2x + 6x2 - 10 + 4x2 - 3x + (-6) =
Answer:
10
x
2
−
x
−
16
re written: 10x2−x−16
Step-by-step explanation:
Answer:
The simplified answer is [tex]10x^2-x-16[/tex]
Step-by-step explanation:
[tex]2x+6x^2-10+4x^2-3x-6[/tex]
[tex]= 2x+6x^2+-10+4x^2+-3x+-6[/tex]
[tex]Combine[/tex] [tex]Like[/tex] [tex]Terms:[/tex]
[tex]= 2x+6x^2+-10+4x^2+-3x+-6[/tex]
[tex]=(6x^2+4x^2)+(2x+-3x)+(-10+-6)[/tex]
[tex]= 10x^2+-x+-16[/tex]
As a final result, the answer is [tex]10x^2+-x+-16[/tex].
Therefore, [tex]10x^2+-x+-16[/tex] is the answer.
Hope this helps!
Have a nice day/night/afternoon.
(Can you mark me brainliest?)
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Graph △ABC with vertices A(4,1),B(−2,3), and C(−1,1) and its image after the glide reflection.
Translation: (x,y)→(x+2,y+1)
Reflection: in the x-axis
The reflection of the given △ABC is shown that be △A'B'C' with vertices A' (6, -2); B' (-4, -4), and C' (-3, -2).
What is reflection?
A reflection is a type of transformation that involves flipping a shape, known as the preimage, across a line, known as the line of reflection, to produce a new shape (called the image). You can picture what would happen if you turned the form across the line to graph a reflection.So, the △A'B'C' is:
△ABC:
A (4,1)B (−2,3)C (−1,1)Now, Translation: (x,y)→(x+2,y+1) (
(x: axis is the line of reflection)
△A'B'C'
A' (6, -2)B' (-4, -4)C' (-3, -2)Therefore, the reflection of the given △ABC is shown that be △A'B'C' with vertices A' (6, -2); B' (-4, -4), and C' (-3, -2).
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what kind of wave is shown
Answer:
longitudinal
Step-by-step explanation:
The point A(3,– 1) is translated 5 units up. What are the coordinates of the resulting point, A'?
i.e
[tex]\\ \sf{:}\Rrightarrow y+5=-1+5=4[/tex]
New co-ordinates are
A(-3,4)A company has two warehouses that are 360 miles apart. A truck leaves Warehouse A and heads towards Warehouse B traveling at 45 miles per hour. At the same time, a truck leaves Warehouse B and heads towards Warehouse A traveling at 60 miles per hour. How long will the trucks be driving before they meet each other on the road?
between 1 and 2 hours
between 2 and 3 hours
between 3 and 4 hours
between 4 and 5 hours
Answer:
Between 3 and 4 hours
Step-by-step explanation:
Let's turn the sentence into an equation, suppose that both trucks will be traveling at a constant rate, let x be the number of hours truck A has been traveling, and let y be the number of hours truck B has been traveling. Then we can set up the equation:
[tex]45x+60y=360[/tex]
Both of these terms must add up to 360 since that will be the point where both trucks will meet. To solve this, we can use a graphing calculator:
(see picture)
Since both trucks left the warehouses at the same time, we need that: [tex]x=y[/tex]
And the point in the graph that x=y is around 3.42 and 3.44, so we can conclude that both trucks must be traveling for 3-4 hours for them to meet on the road.
I hope this helps.
How to make the mark of degree on the calculator ??
Answer:
most models of scientific calculators in degree mode, all you have to do is press "Mode" and then look at the numbers on the screen beside the menu items. Locate the number beside "Deg" or "Degrees" and press it to change the mode of your calculator
Grace needs to buy textbooks for her first semester in college. She borrows $660 and must pay the money back in equal amounts for 11 months. She must also pay $3 interest each month. What is her monthly payment, including interest?
Can somebody pls help me understand this question? (Give an explanation)
Question:
Below is a graph of 2 lines. Match the line with its slope.
Answer:
l: 1
k: 2
Step-by-step explanation:
The slope of a line is "the amount it goes up divided by the amount it goes right".
So if you pick a point on the line, and then step one grid position to the right, how much does it go up (or down, then you have a negative slope)?
In line l, it goes up one grid position for every step to the right, hence the slope is 1.
In line k, it goes up two positions for every step to the right, hence the slope there is 2.
Hope this explains it.
An alloy is made with 3 gram of silver, 18 gram of copper, 6 gram of aluminium and 3 gram od zinc. Find what part of the total is used for each metal.
Which expression is equivalent to -16 - 7?
A. -16 + 7
B. -16 + (-7)
C. 16 + (-7)
D. 16 + 7
Step-by-step explanation:
B. -16 + (-7) ...this is the same as -16-7
can y’all please help me out
Step-by-step explanation:
x⁴ + 4x³ - 5x² + x - 3 ÷ x² + x - 3 = x² + 3x - 5
- x⁴ + x³ - 3x²
-------------------------
0 3x³ - 2x² + x - 3
- 3x³ + 3x² - 9x
-------------------------------
0 - 5x² + 10x - 3
- - 5x² - 5x + 15
-------------------------------------
0 15x - 18
the result is therefore
x² + 3x - 5 + (15x - 18)/(x² + x - 3)
K2. Calculate the total surface area of cuboids with the following dimensions (d) Radius = 3 m, breadth = 1.5 m, height = 2 cm
Answer:
2(3×2)+2(3×1.5)+2(1.5×3)
Step-by-step explanation:
12+9+9
30
Answer:
30cm square
Step-by-step explanation:
2(3×2)+2(3×1.5)+2(1.5×3)
2[3×2+3×1.5+1.5×3]
2(6+4.5+4.5)
2×15
30
What was the percent decrease? 2% 14% 16% 7%
Answer:
Percentage decrease calculator will show the difference and the percent decrease from one quantity to another.
Step-by-step explanation:
HELP PLZZ! 50 POINTS!!
Answer:
24%
Step-by-step explanation:
consider bag 1: there are 3 vowel tiles (out of 5) in this bag so the probability of choosing a vowel tile would be 3/5
bag 2: there are 2 vowel tiles (out of 5) in this bag so the probability of choosing a vowel tile would be 2/5
to find the probability of getting two vowel tiles (one from each bag), you multiply these two probabilities together:
3/5 *2/5 to get 6/25 which is equal to 0.24 or 24%
Please help me…………….
Answer:
Isosceles triangle.
Step-by-step explanation:
Help meee please thank you will mark brainlist….
Answer:
It's 47 because it's an isosceles triangle.
Step-by-step explanation:
Answer:
F is equal to 47
Step-by-step explanation:
G is equal to F
Subtract. Use models if needed. (9x - 12) - (5x - 7)
[tex](9x - 12) - (5x - 7)\\\\=9x-12-5x+7\\\\=4x-5[/tex]
PLS HELP I WILL MARK BRAINLIEST!!! IT IS NOT 72
Answer:
52
Step-by-step explanation:
Answer:
I believe it's 56
Hope this helps
solve: 8+ x/2= 1/4 (x-4)-1
A. X = -40
B. X = 40
C. There are infinitely many solutions.
D. X = -24