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Related Questions
A triangle has side lengths of 20 cm, 99 cm, and 108 cm. Classify it as acute, obtuse, or right.
A. acute
B. obtuse
C. right
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If draw it out in your head, it's obviously obtuse.
The triangle will be:
right if a² + b² = c²
аcute if a² + b² > c²
obtuse if a² + b² < c²
We have a=20, b=99 and c=108
20² + 99² = 400 + 9801 = 10201
and
108² = 11664
10201 < 11664 ⇒ obtuse triangle.
if y varies inversely as x, and y=20 as x=3, find y for the x value 4
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(-3,1) perpendicular to y=2/5x-4
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x₁ y₁ slope (m) = 2/5x
Since the equation we are looking for is perpendicular to y = 2/5x - 4, we need to find the opposite reciprocal slope. We have to flip the slope upside down and turn it negative.
2/5 ⇒ 5/2 ⇒ -5/2
So far, we have the equation y = -5/2.
Now, we need to find the y intercept by plugging in the given point into point slope form, which is...
y - y₁ = m(x - x₁)
The subscripts in the y and x are just the x and y in (-3,1). They are just placeholders, not exponents.
y - 1 = -5/2(x + 3)
y - 1 = -5/2x - 15/2
+ 1 + 1
------------------------------
y = -5/2x - 13/2 ⇒ final equation
True or false the difference of two numbers is less than either of those two numbers
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Take fo example, 40 - 30 = 10.
Here the difference is less than both two numbers.
But in 40 - 15 = 25
Here the difference is less than one of the numbers but greater than the other number.
Now consider, -3 and -5, their difference is given by (-3) - (-5) = -3 + 5 = 2.
Here, 2 is greater than both -3 and -5.
Therefore, The difference of two numbers is not always less than either of those two numbers.
Your answer is False.
If (44)x = 432, what is the value of x?
4
7
8
28
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44 x 4 = 176
44 x 7 =308
44 x 8 = 352
44 x 28 =1232
none of those will =432
are you sure you have the right numbers?
(44)x=432
x=432/44 = 9.8181
What information can be used to compare linear relationships?
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Sample Response:
Linear relationships can be compared using their initial values, or y-intercepts, and their rates of change, or slopes. Initial values can tell you which relationship started with a greater value. Comparing slopes can tell you which relationship is rising or falling faster.
Jessica deposits $2000 into an account that pays simple interest at a rate of 3% per year. How much interest will she be paid in the first 2 years?
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answer
interest will be $120 in the first 2 years
The field hockey coach is purchasing new uniforms for the team. Company A charges a one-time printing fee of $100 and $12 per uniform. Company B charges a one-time fee of $61 and $15 per uniform. How many uniforms must the coach buy to get a better deal from Company A?
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100 + 12x < 61 + 15x
39 < 3x
13 < x, so they must buy more than 13 to get a better deal.
The number of new cars purchased in a city can be modeled by the equation where C is the number of new cars and t is the number of years since 1958. C = 26t^2 + 168t + 4208. In what year will the number of new cars reach 15,000? a. 2026 b. 1993 c. 1970 d. 1976 Solve using the quadratic formula. HELP PLZ!
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26t^2+168t+4208=15000
26t^2+168t-10792=0
They want you to use the quadratic formula...
For a quadratic of the form ax^2+bx+c=0, the quadratic formula is:
x=(-b±√(b^2-4ac))/(2a), in this case we have:
x=(-168±√1122368)/52, since x>0
x≈17.14
1958+17.14≈1975.14
So by 1976 the number of new cars will reach 15000.
Final answer:
To determine when the number of new cars reaches 15,000, the quadratic equation 26t^2 + 168t + 4208 = 15,000 is solved for t and then added to 1958.
Explanation:
To find the year when the number of new cars reaches 15,000, we need to set the equation C = 26t^2 + 168t + 4208 equal to 15,000 and solve for t, where t is the number of years since 1958.
First, set up the equation: 15,000 = 26t^2 + 168t + 4208.
To solve for t, we subtract 15,000 from both sides to get the quadratic equation: 0 = 26t^2 + 168t - 10,792.
Next, we use the quadratic formula [tex]t = (-b \pm \sqrt{b^2 - 4ac}) / (2a)[/tex], where a = 26, b = 168, and c = -10,792.
Plugging the values into the quadratic formula, we get the two possible solutions for t. After calculating the roots, we discard any negative value as it would not make sense in the context of time since 1958. The positive year will give us the answer we need.
Adding the positive value of t to 1958, we obtain the year in which the number of new cars purchased will reach 15,000.
In a hospital ward, there are 12 nurses and 4 doctors. 3 of the nurses and 2 of the doctors are male. If a person is randomly selected from this group, what is the probability that the person is female or a doctor? @IMStuck @TheSaint905621 @Compassionate @phi @math&ing001 @acxbox22
Answers
Because there are all together there are 16 people, 4 are doctors and 9 are female nurses. So add 9 and 4 are you get 13 since the question is asking for females or doctors.
Answer:
[tex]\bf \textbf{Probability that the person is female or a doctor = }\frac{13}{16}[/tex]
Step-by-step explanation:
Number of nurses in the hospital = 12
Number of doctors in the hospital = 4
Number of male nurses = 3
Number of male doctors = 2
Number of male persons = 5
So, Number of female persons = 16 - 5 = 11
Number of female doctors = 4 - 2 = 2
So, Probability that the person is female or a doctor = Probability that a person is female + Probability that a person is doctor - Probability that a person is female doctor
[tex]\implies\text{Probability that the person is female or a doctor = }\frac{11}{16}+\frac{4}{16}-\frac{2}{16}\\\\\implies\bf \textbf{Probability that the person is female or a doctor = }\frac{13}{16}[/tex]
Given an arithmetic sequence in the table below, create the explicit formula and list any restrictions to the domain.
n | an
1 | 9
2 | 3
3 | −3
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Collinear points are not necessarily coplanar.. true or false
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The given statement is a false statement.
Step-by-step explanation:Collinear Points--
Two or more points are said to be collinear if they lie on a straight line.
Coplanar--
Set of points are said to be coplanar if they lie on the same plane.
If the set of points are collinear then we may get a line such that it will contain all these points and as we know that line always lie in a plane also there may be infinite number of planes which may contain the same line.
So, all the points on the line will also lie in the same plane.
Yes, collinear points are necessarily coplanar.
determine whether the sequence converges or diverges. if it converges give the limit.
48, 12, 3, 3/4, ...
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The limit of the sequence is 0.
-------------------------------------------------------------
This is a geometric sequence with the first term a = 48 and r = 1/4 = 0.25 as the common ratio. Since |r| < 1, this means that the terms are steadily getting smaller and smaller. The terms will approach 0 but not actually get there.
Note: if you added up all the terms of this infinite sequence, then the sum would be S = a/(1-r) = 48/(1-0.25) = 64
Final answer:
The provided sequence is a geometric sequence that converges to 0 because its common ratio's absolute value is less than 1.
Explanation:
The sequence provided is 48, 12, 3, 3/4, suggesting a pattern where each term is divided by 4 to get the next term (this is a common ratio r = 1/4). This type of sequence is known as a geometric sequence, and to determine if it converges, we can apply the ratio test.
In a geometric sequence, successive terms approach zero if |r| < 1. Since the absolute value of the common ratio here is less than 1, the terms of the sequence will get progressively smaller and approach zero. Therefore, we can conclude that this geometric sequence converges, and the limit is 0.
For the graphed function f(x) = (2)x + 2 + 1, calculate the average rate of change from x = −1 to x = 0. graph of f of x equals 2 to the x plus 2 power, plus 1. (6 points) −2 2 3 −3
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Next time you should write the correct form of equation because it affects greatly the answer. I believe the correct form would be:
f (x) = 2 * x^2 + 1
where the second 2 is a power of x
The average rate of change is also defined as the slope of the equation. Therefore:
average rate of change = slope
Where slope is:
m = (y2 – y1) / (x2 – x1) = [f (0) – f (-1)] / (x2 – x1)
Calculating for f (0): x2 = 0
f (0) = 2 * 0^2 + 1 = 1
Calculating for f (-1): x1 = -1
f (-1) = 2 * (-1)^2 + 1 = 3
Substituting the known values to the slope equation:
average rate of change = (1 – 3) / (0 – 1)
average rate of change = -2 / -1
average rate of change = 2
Answer: 2
Answer:
I believe the proper form of this question is actually... as I have also come across this question.
"For the graphed function f(x) = (2)^(x + 2) + 1, calculate the average rate of change from x = −1 to x = 0."
Step-by-step explanation:
the y2 - y1/ x2 - x1, will actually be (-1,3) and (0,5).
This means you will get a 5 + 1 (because subtracting a -1 is the same as adding 1) over 0 - 3.
Next you have 6/-3 which will give you a answer of -2
Now I do believe the proper answer is actually 2 because the graph shows a chart that is growth, not decay, but the math gives a -2 which is confusing.
WILL GIVE A BRAINLIEST!!
Find the range of the parent function below.
y=1/x
A.
all real numbers
B.
all real numbers except 0
C.
all positive numbers
D.
all negative numbers
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The Range is the set of all values that the function can take.
let c be any value in the range. So c=1/x for some x in the domain,
and so x=1/c.
For example, is c=10 in the range of the function?
yes, for x=1/10, f(1/10)=1/(1/10)=10.
Consider again x=1/c, the only value of c that cannot be in the Range is c=0, because to produce 0 in the range, x would need to be 1/0, which is undefined.
Answer:
B.
all real numbers except 0
Two angles are supplementary one angle measure 12 more than the other find the measures
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Then, 12 + b + b = 180;
12 + 2b = 180;
2b = 168;
b = 84;
a = 12 + 84;
a = 96;
How would I solve this?
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2*(3(7)-1)
2*(21-1)
2*20
40
Final answer: 40
Remember the order of operations. Parentheses, then multiplication and division, followed by addition and subtraction.
How to solve and why the answer is (A)
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Not sure ^^^^^^^^^^^
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y^2-7y-30
(y-10)(y+3)
(y-5)(2y+3)
If you divide out y-5, you are left with 2y+3
B
Concrete can be purchased by the cubic yard. How much will it cost to pour a slab 17 ft by 17 ft by 2 in. for a patio if the concrete costs $40.00 per cubic yard? (1 cubic yard = 27 cubic feet)
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Answer:
It will cost approximately $71.360.
Step-by-step explanation:
Given,
The dimension of the concrete is 17 ft by 17 ft by 2 in.
1 ft = 12 inches ⇒ 2 inches = 1/12 × 2 = 1/6 ft.
Thus, the dimension of the concrete is 17 ft by 17 ft by 1/6 ft.
Now, the volume of the concrete = 17 × 17 × 1/6
[tex]=\frac{289}{6}\text{ cubic ft}[/tex]
We know that,
1 cubic yard = 27 cubic feet
[tex]\implies 1 \text{ cubic feet}=\frac{1}{27}\text{ cubic yards}[/tex]
[tex]\implies \frac{289}{6}\text{ cubic ft}=\frac{289}{6}\times \frac{1}{27} = \frac{289}{162}\text{ cubic yards}[/tex]
Since, the concrete costs $40.00 per cubic yard.
Hence, the total cost of concrete = [tex]\frac{289}{162}\times 40=\frac{11560}{162}=\$71.3580247\approx \$71.360[/tex]
The total cost of concrete is,
C = $71.4
We have to give that,
Dimensions of the concrete are,
17 ft by 17 ft by 2 in.
And, the concrete costs $40.00 per cubic yard.
Since we know that,
1 feet = 12 inches
Hence,
2 inches = 2/12 = 1/6 feet
Thus, the dimension of the concrete is 17 ft by 17 ft by 1/6 ft.
So, the Volume of the concrete,
V = 17 x 17 x 1/6
V = 48.2 cubic feet
Here, 1 cubic yard = 27 cubic feet
And, the concrete costs $40.00 per cubic yard.
Hence, the total cost of concrete is,
C = 48.2 × 40 / 27
C = $71.4
To learn more about the volume visit:
brainly.com/question/24372707
#SPJ6
- ( 1 + 7x ) - 6 ( -7 - x ) = 36
Please solve and show work
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-1(1+7x) - 6(-7 - x) = 36
-1 - 7x + 42 + 6x = 36
41 - x = 36
41 = 36 + x
5 = x
Simplify.
-1 - 7x + 42 + 6x = 36
Add 1 to both sides.
-7x + 42 + 6x = 36 + 1
Simplify.
-x + 42= 37
Subtract 42 from both sides.
-x = 37 - 42
Simplify.
-x = -5
Divide both sides by -1.
x = 5
~Hope I helped!~
Colby took out a sinlge payment loan for $550 that charged a $60 fee. How much does he have to pay by the time the loan reaches maturity?
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550+60=610
Answer:
Step-by-step explanation610:
what is this answer
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Divide both sides by 16
3.125=t^2
Find the square root of both sides (approximated)
1.77= t
Final answer: F
Find the first, fourth, and tenth terms of the arithmetic sequence described by the given rule.
A(n) = 12 + (n – 1)(3)
A.12, 21, 39
B. 0, 9, 27
C. 12, 24, 42
D. 3, 24, 27
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[tex]\bf A(n)=12+(n-1)(3)\qquad \begin{cases} n=n^{th}\ term\\ 12=\textit{first term's value}\\ 3=\textit{common difference} \end{cases} \\\\\\ n=1,4\ and\ 10\implies \begin{cases} A(\underline{1})=12+(\underline{1}-1)(3)\\ A(\underline{4})=12+(\underline{4}-1)(3)\\ A(\underline{10})=12+(\underline{10}-1)(3) \end{cases}[/tex]
Convert: 52 cups = ________ qt.
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1 cup = 0.25 quarts
52 *0.25 = 13 quarts
13 is the answer HOPE THAT HELPS
A store is having a sale on jelly beans and trail mix. For 3 pounds of jelly beans and 2 pounds of trail mix, the total cost is $14. For 5 pounds of jelly beans and 6 bounds of trail mix, the total cost is $28. Find the cost for each pound of jelly beans and each pound for trail mix.
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3j=14-2t divide both sides by 3
j=(14-2t)/3
...
5j+6t=28, using j found above in this equation yields.
5(14-2t)/3+6t=28 perform indicated multiplication on left side
(70-10t+18t)/3=28 multiply both sides by 3
70-10t+18t=84 combine like terms on the left side
70+8t=84 subtract 70 from both sides
8t=14 divide both sides by 8
t=$1.75, and since j=(14-2t)/3
j=(14-2(1.75))/3
j=$3.50
So a pound of trail mix costs $1.75 and a pound of jelly beans costs $3.50.
A square garden plot has an area of 75 ft2. a. Find the length of each side in simplest radical form. b. Calculate the length of each side to the nearest tenth of a foot.
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a. Find the length of each side in simplest radical form.
First, a square area (A) = length (l)^2
A(ft2) = l^2 --> so l(ft) = square root (sr) of A
l = srA = sr75
Next, factor out 75 into number with even roots: 25•3 = 75
So l = sr25•sr3 --> l = 5•sr3 ft
5•sr3 is in the simplest radical form
b. Calculate the length of each side to the nearest tenth of a foot.
l = sr3 = 1.732 --> so 5•1.732 = 8.66ft
Tenth is one place to the right of the decimal, so l = 8.7 ft
Answer:
a)the length of each side is [tex]5\sqrt3[/tex] feet
b)In the nearest tenth the length of the side is 8.7 feet.
Step-by-step explanation:
The area of the square garden is 75 square feet.
a) Let x be the length of each side.
We know that,
[tex]\text{Area of square}=\text{(Side)}^2[/tex]
Hence, we have
[tex]75=x^2\\\\x=\sqrt{75}\\\\x=5\sqrt{3}[/tex]
Thus, the length of each side is [tex]5\sqrt3[/tex] feet
b)
In the nearest tenth the length of the side is 8.7 feet.
Please help! Thanks (:
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So the answer is choice B
Note: there are four zeros between the decimal point and the digit '4' in the value 0.0000416
The table below represents a linear function f(x) and the equation represents a function g(x):
x f(x)
−1 −3
0 0
1 3
g(x)
g(x) = 7x + 2
Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points)
Part B: Which function has a greater y-intercept? Justify your answer. (4 points)
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B. g(x) has a greater y intercept. Because g(x) is written in slope intercept form, we know that the intercept is simply the b value, which is 2 in this case. For f(x), we know that slope interceot is the value of y when x=0. When x=0 in this case, y=0. 2>0
How many different pizzas can be ordered if the restaurant offers 15 different toppings and there is no limit to
the number of toppings on the pizza?
Answers
Final answer:
Using the formula for combinations with repetition, with 15 different toppings and no limit on the number of toppings per pizza, we find that there can be 32,768 different possible pizzas.
Explanation:
The question you're asking relates to combinations with repetition, a topic in combinatorics, a branch of mathematics. Given 15 different pizza toppings and the possibility of choosing any number of these toppings for a single pizza (including the possibility of a pizza with no toppings at all), we're essentially looking at how many different pizzas can be created.
To calculate the total number of different pizzas that can be ordered, we use the formula for combinations with repetition, which is (n+r-1)C(r), where 'n' is the number of toppings to choose from (15 in this case), 'r' is the number of toppings chosen, and 'C' represents the combination function. Since there's no limit to the number of toppings, 'r' can vary from 0 (a pizza with no toppings) to 15 (a pizza with all the toppings). However, because the question allows any number of toppings and we consider repetitions, the calculation simplifies to 2ⁿ, where n is the number of toppings.
Therefore, calculating this gives us 2¹⁵, which equals 32,768 different possible pizzas. This includes every combination from no toppings at all to a pizza with all 15 toppings.