The perimeter of the bean bag toss board is 12 units
What is the perimeter of the bean bag toss board?The points are given as:
C (3,2) D (3,6) E (5,2) F (5,6)
Calculate the distance between adjacent points using:
[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
So, we have:
[tex]CD = \sqrt{(3 - 3)^2 + (2 - 6)^2} = 4[/tex]
[tex]DF = \sqrt{(3 - 5)^2 + (6 - 6)^2} = 2[/tex]
[tex]FE = \sqrt{(5 - 5)^2 + (2 - 6)^2} = 4[/tex]
[tex]CE = \sqrt{(3 - 5)^2 + (2 - 2)^2} = 2[/tex]
The perimeter is then calculated as:
P = CD + DF + FE + CE
This gives
P = 4 + 2 + 4 + 2
Evaluate
P =12
Hence, the perimeter of the bean bag toss board is 12 units
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If a female student is selected at random, find the probablility that the student is a senior.
Add all the females together: 3 + 4 + 6 + 3 = 16
Female seniors = 3
Probability of picking a senior = 3/16 = 0.1875 x 100 = 18.75%
Rounded to the nearest whole number = 19%
Answer: 19%
helpp asapp please due soonn
Answer:
A.
Step-by-step explanation:
1.5m + 6.5q > 100
✨♥️
I totally don't understand this I will give you 20 points if you help me with it
Answer:
-4.25
Step-by-step explanation:
i need help to find the square units of this triangle
Answer:
24square unit
Step-by-step explanation:
triangle area=1/2.b.h
=1/2.8.6=24
A map of sweden shows a scale of 5 cm = 16 km. if the distance between knivsta and stockholm is 17.2 cm on the map how many km is it?
Answer:
55.04 km
Step-by-step explanation:
17.2 cm / 5 cm = 3.44
16 km x 3.44 = 55.04 km
You could also solve in this fashion:
[tex]\frac{5}{16}[/tex] = [tex]\frac{17.2}{x}[/tex]
16 x 17.2 = 5x
Multiply 16 x 17.2 = 275.20
Divide the 275.20 by 5 = 55.04
QUESTION 8
If cos xº = -
OA. 175⁰
OB. 1500
OC. 1350
OD.
120⁰
-√3
2
and 90°
A
Answer:
B. 150
Step-by-step explanation:
Is (x+5) a factor of f(x)=x^3 - 4x^2 + 3x + 7? use either the remainder theorem or the factor theorem to explain your reasoning.
Answer:
No
Step-by-step explanation:
Use synthetic division
-5 | 1 -4 3 7
____-5 45 -240
1 -9 48 | -233
Since the remainder is not 0, then x+5 is not a factor of the polynomial
Jerome solved a system of equations and found that it had an infinite number of solutions. Which system could be the system that Jerome solved
One example of a system of equations that has infinite solutions is given by:
x + y = 2.
2x + 2y = 4.
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
A system will have infinite solutions when the two equations are multiples, hence one example is given by:
x + y = 2.
2x + 2y = 4.
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Is x + 3 a factor of P(x) = x³ - 5x² + 3x + 9 ? Explain.
Answer:
no
Step-by-step explanation:
using the Factor theorem.
If (x + h) is a factor of f(x) then f(- h) = 0
for factor (x + 3) then evaluate P(- 3)
P(- 3) = (- 3)³ - 5(- 3)² + 3(- 3) + 9 = - 27 - 45 - 9 + 9 = - 72
since f(- 3) ≠ 0 then (x + 3) is not a factor of P(x)
Not sure how to do this
Answer:
[tex]\underline{\boxed{\sf{2(x - 11)(x + 11)}}}[/tex]
Step-by-step explanation:
[tex]\sf{2x^2 - 242}[/tex]
Common factor :
[tex]\sf{2x^2 - 242}[/tex]
[tex]\sf{2(x^2 - 121)}[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: [/tex]
Use the sum-product pattern :
[tex]\sf{2(x^2-121)}[/tex]
[tex]\sf{2(x^2 + 11x-11x - 121)}[/tex]
[tex]\: \: \: \: \: \: \: \: \: \: \: \: [/tex]
Common factor from the two pairs :
[tex]\sf{2(x^2 + 11x-11x - 121)}[/tex]
[tex]\sf{2(x(x+11) -11(x + 11))}[/tex]
[tex]\: \: \: \: \: \: \: \: \: \: \: \: [/tex]
Rewrite in factored form :
[tex]\sf{2(x(x+11)- 11(x + 11))}[/tex]
[tex]\sf{2(x - 11)(x + 11)}[/tex]
[tex]\: \: \: \: \: \: \: \: \: \: \: \: [/tex]
Solution :
[tex]\sf{2(x - 11)(x + 11)}[/tex]
Please help! Problem is below! (25 points max!)
Replace x with -17 and solve:
7(-17) + 2 = -119 + 2 = -117
answer: -117
8 out of 15
Select the graph that represents the inequality.
2x+3y>6
Answer:
3rd graph
Step-by-step explanation:
Since the inequality has a greater than symbol (>) and not a greater than or equal to symbol ([tex]\geq[/tex]), the graph will have a dotted line, meaning only the third and fourth graphs could be the one.
Since 2x+3y is GREATER THAN 6 and not LESS THAN 6, we know that the shaded part of the graph will be above (or more) than the line. Therefore, the third graph is the graph that represents the inequality.
The attached picture proves it :)
Hope this helps!
What is the simplified value of the expression below?
12.4 x (negative 6.3)
–78.12
–1.97
1.97
78.12
The simplified value of 12.4 x (negative 6.3) is -78.12
How to simplify the expression?The expression is given as:
12.4 x (negative 6.3)
Rewrite properly as:
12.4 x (-6.3)
Evaluate the product using a calculator
-78.12
Hence, the simplified value of 12.4 x (negative 6.3) is -78.12
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There are 13 different bags of candy for a party. Susan randomly selects 7 bags. How many different combinations are there?
There are 1716 different combinations of the bags
How to determine the number of combination?The given parameters are:
Total, n = 13
Bags to select, r = 7
The number of combination is calculated using:
[tex]Total = ^{13}C_7[/tex]
Evaluate the combination expression
Total = 1716
Hence, there are 1716 different combinations
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Answer: 1716 different combinations of the bags
Step-by-step explanation:
How will the solution of the system y > 2x + Two-thirds and y < 2x + One-third change if the inequality sign on both inequalities is reversed to y < 2x + Two-thirds and y > 2x + One-third?
Answer: There is no solution to the system in its original form. There are no points in common. If the signs are reversed, the system has an intersection with an infinite number of solutions.
Answer:
Step-by-step explanation:344x-5-p-0-9-but=pmc+m2 something like that
HURRY I NEED HELP QUICK
Gaira was asked to evaluate the algebraic
expression –3.8x + 6 when x = –7.5.
–3.8(–7.5) + 6(–7.5)
28.5 + (–45)
(–16.5)
The value of x the function when x = -7.5 is 34.5
Functions and valuesFunctions are written in terms of variables
Given the expression –3.8x + 6, when the value of x is -7.5, hence;
f(x) = –3.8x + 6
f(-7.5) = -3.8(-7.5) + 6
f(-7.5) = 28.5 + 6
f(-7.5) = 34.5
Hence the value of x the function when x = -7.5 is 34.5
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Sara sells aloe vera plants and barrel cacti at the local street fair. Each aloe vera plant is $3 and each barrel cactus is $2.
On Monday she sold a total of 12 plants for $31. How many of each type of plant did Sara sell?
x:# aloe vera y : # barrel cacti
x:20=5:x
Calculate the positive value of x
A cylindrical cup is 15 centimeters in height. When filled to the very top, it holds 450 cubic centimeters of water. What is the radius of the cup, rounded to the nearest tenth? Explain or show your reasoning.
Answer:
The radius of the cup is 3.1 cm.
Step-by-step explanation:
First, we the volume of a right cylinder is [tex]V = πr^{2} h[/tex].
V = volume of the cylinder[tex]π[/tex] = pir = radius of the cylinderh = height of the cylinderNow, using the information that was given to us, we can plug what we know into the equation: [tex]450=πr^{2}(15)[/tex].
From here, we simply solve for r by isolating it to find the radius. *Remember, what we do to one side we must do to the other.
Divide both sides by 15 to cancel it out on the right: [tex]30=πr^{2}[/tex]Divide both sides by pi to cancel it out on the right: [tex]9.549296586=r^{2}[/tex] (do not round until you have your final answer)Square root both sides to cancel out the exponent on the right: [tex]3.090193616=r[/tex]Round to the nearest tenth to get [tex]r=3.1[/tex]Point QQQ is located at (-4, 6)(−4,6)left parenthesis, minus, 4, comma, 6, right parenthesis. Point RRR is located at (8, 6)(8,6)left parenthesis, 8, comma, 6, right parenthesis.
What is the distance from point QQQ to point RRR?
=========================================================
Explanation:
Points Q and R have the same y coordinate of 6.
This means they're on the same horizontal level and we can form a number line through these points. Think of Q and R being on the x axis.
Going from -4 to 8 is a distance of 12 units because either
-4-8 = -12 which flips to +12 or 12
8-(-4) = 8+4 = 12
Effectively I used absolute value for the first part to go from -12 to 12. Distance cannot be negative.
Alternatively, you can count out the number of horizontal spaces from -4 to 8 and you should count out 12 units.
--------------------------------
If you need to use the distance formula, then this is what the steps may look like:
[tex]Q = (x_1,y_1) = (-4,6) \text{ and } R = (x_2, y_2) = (8,6)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-4-8)^2 + (6-6)^2}\\\\d = \sqrt{(-12)^2 + (0)^2}\\\\d = \sqrt{144 + 0}\\\\d = \sqrt{144}\\\\d = 12\\\\[/tex]
In my opinion, the distance formula is overkill because we can simply apply subtraction or count out the number of spaces. It's up to you which you prefer you like better. Of course be sure to follow all instructions your teacher mentions.
If the two points weren't on the same horizontal level, then we would have no choice and have to use the distance formula. Or you could use the pythagorean theorem which is effectively what the distance formula is derived from.
How long does it take $500 to double at a simple interest rate of 24%?
Answer:
4 years and 2 months
Step-by-step explanation:
Simple interest formula
A = P(1 + rt)
where:
A = final amountP = principal amountr = interest rate (in decimal form)t = time (in years)Given:
A = $500 × 2 = $1,000P = $500r = 24% = 0.24Substitute the given values into the formula and solve for t:
[tex]\implies \sf 1000 = 500(1 + 0.24t)[/tex]
[tex]\implies \sf \dfrac{1000}{500}=(1 + 0.24t)[/tex]
[tex]\implies \sf 2=1 + 0.24t[/tex]
[tex]\implies \sf 1 = 0.24t[/tex]
[tex]\implies \sf t=\dfrac{1}{0.24}[/tex]
[tex]\implies \sf t=4 \frac{1}{6} \:years[/tex]
[tex]\implies \sf t=4\:years\:2\:months[/tex]
Therefore, it takes 4 years and 2 months for the initial investment of $500 to double at a simple interested rate of 24%.
0/1
What is the equation of
the line in y=mx+b form?
(Photo)
Answer:
y=-15x+100
Step-by-step explanation:
Given the function f(x)=4x+10 and g(x), which function has a greater slope?
The complete question is
"Given the function f(x) = 4x + 10 and g(x), which function has a greater slope?
x g(x)
2 5
4 7
6 9
f(x) has a greater slope. g(x) has a greater slope. The slopes of f(x) and g(x) are the same. The slope of g(x) is undefined."
The correct option from the given function are A; f(x) has a greater slope.
What is the slope of a line which passes through points ( p,q) and (x,y)?Its slope would be:
[tex]m = \dfrac{y-q}{x-p}[/tex]
The slope of a function in the form of y = mx + C is m,
So the slope in the function
f(x)=4x+10
m = 4
Now when you have a function but you only have a table to evaluate it, to calculate the slope
(p, q) = (4, 7)
(x, y) = (6, 9)
This means that:
[tex]m = \dfrac{y-q}{x-p}\\\\m = \dfrac{9-7}{6-4}\\\\m =1[/tex]
Now that we have both slopes, the slope of g(x) = 1 and the slope of f(x) =4,
Thus, f(x) has a greater slope than g(x).
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Question 3 of 10
Theresa has a credit card that uses the average daily balance method. For the
first 12 days of one of her billing cycles, her balance was $350, and for the
last 19 days of the billing cycle, her balance was $520. If her credit card's APR
is 14%, which of these expressions could be used to calculate the amount
Theresa was charged in interest for the billing cycle?
The amount that Theresa was charged in interest for the billing cycle is $5.30
How to calculate the interest?By using the average daily balance, the amount will be:
= (350 × 12) + (520 × 19) / (12 + 19)
= (4200 + 9880)/31
= 454.19
Therefore, the interest will be:
= (454 × 0.14)/12
= $5.30
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PLS HELP ASAP !!!!!!!!!!
Answer:
Alice
Step-by-step explanation:
14$ the amount he had - X the amount he lost (the unknown) is what is described by Alice
What is 95x9 divided by 14?
Answer:
213.75
Step-by-step explanation:
95×9=855
855÷4=213.75
Escribe sobre lo que opinas del SAT
12. Calculate. a) - (-/-)²2 c) 49
Answer:
write your questions very well
4 in.
4 in.
What is the volume of this container?
1 in.
2 in.
4 in.
56 in²
64 ins
64 in²
56 ins
Answer:
64in
Step-by-step explanation:
for a four sided figure, you do base x height. volume isn't squared in Math.
Please help me with this
Answer:
point B
Step-by-step explanation:
Answer:
It's Point B.
Go to 5 on the x-axis and then go up 3
The 5 is the x-axis and 3 is the y-axis