Answer:
6.)66 degrees
7.)20 degrees
Step-by-step explanation:
Step-by-step explanation:
Angle 114 and angle 3 are supplementary, meaning that they can be added to get 180 degrees
If you subtract 114 from 180 you get 66 degrees
Angle D and Angle C are both complimentary, meaning that if you add them together you get 90 degrees
If you subtract 70 from 90 you get 20
What is 2,443,802,280 rounded to the nearest ten million
Answer:2,440,000,000
Step-by-step explanation:
please help
Find the missing side of this right
triangle.
X
7
12
X
= [?]
Answer:
√193
Step-by-step explanation:
pathagorus theorem:
\(( {hyp})^{2} = ( {base)}^{2} + ( {perp)}^{2} \)
hyp=x , base= 12 , perp= 7
subtitles all values in formula:
we get
x^2 = 12^2 + 7^2
x^2 = 144 +49
x= √193
The missing side of this right triangle is, 13.90 units.
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
We have to given that;
The base of the triangle = 12
The perpendicular distance of the triangle = 7
Now, We know that;
Pythagoras theorem stated as;
⇒ Hypotenuse² = Base² + Perpendicular²
⇒ x² = 12² + 7²
⇒ x² = 144 + 49
⇒ x² = 193
⇒ x = √193
⇒ x = 13.90
Thus, The missing side of this right triangle is, 13.90 units.
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Consider
the polynomials given below.
P = 1125 + 924 - 42³ 72² + 5
Q = (22² + 1) (42² - 3)
Determine the operation that results in the simplified expression below.
1125 + - 42³ - 52² + 8
O P Q
O
Ο
O
P+Q
PO
Q-P
The polynomial 11x⁵ + x⁴ - 4x³ - 5x² + 8 denotes the expression P - Q. The correct option is option A.
What is an expression?
A mathematical expression is a phrase that contains a minimum of two numbers or variables and at least one mathematical operation. It is possible to multiply, divide, add, or subtract in math. An expression has the following structure: Expression is (Math Operator, Number/Variable, Number/Variable)
Given polynomials are:
P = 11x⁵ + 9x⁴ - 4x³ - 7x² + 5
Q = (2x² + 1) (4x² - 3)
Simplify the polynomial Q = (2x² + 1) (4x² - 3):
Q = (2x² + 1) (4x² - 3)
Q = 2x²(4x² - 3) + 1(4x² - 3)
Q = 8x⁴ - 6x² + 4x² - 3
Add like terms:
Q = 8x⁴ - 2x² - 3
Now calculate P + Q
P + Q = 11x⁵ + 9x⁴ - 4x³ - 7x² + 5 + 8x⁴ - 2x² - 3
Combine like terms:
P + Q = 11x⁵ + (9x⁴ + 8x⁴) - 4x³ + (- 7x² - 2x²) + 5 - 3
P + Q = 11x⁵ + 17x⁴ - 4x³ - 9x² + 2
Now calculate P - Q
P - Q = 11x⁵ + 9x⁴ - 4x³ - 7x² + 5 - (8x⁴ - 2x² - 3)
P - Q = 11x⁵ + 9x⁴ - 4x³ - 7x² + 5 - 8x⁴ + 2x² + 3
P - Q = 11x⁵ + (9x⁴ - 8x⁴) - 4x³ + (-7x² + 2x² )+ (5 + 3)
P - Q = 11x⁵ + x⁴ - 4x³ - 5x² + 8
Now calculate Q - P
Q - P = 8x⁴ - 2x² - 3 - (11x⁵ + 9x⁴ - 4x³ - 7x² + 5)
Q - P = 8x⁴ - 2x² - 3 - 11x⁵ - 9x⁴ + 4x³ + 7x² - 5
Combine like terms:
Q - P = - 11x⁵ + (8x⁴ - 9x⁴) + 4x³ + (- 2x² + 7x²) - 3 - 5
Q - P = - 11x⁵- x⁴ + 4x³ + 5x² - 8
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An object is launched straight upward from ground level with an initial velocity of 32 feet per second. The formula h=32t - 16t ^ 2 gives its height, h, in feet after t seconds. At what time does the object hit the ground?
A. t=16
B. t=2
C. t=1
D. t=0
Answer: B. t=2
Step-by-step explanation:
If we implement t=2 into the function h=32(2)-16(2)^2 we get the height of 0 (Ground level).
Solve for h by simplifying both sides of the equation, then isolating the variable.
Hope this helps! :)
The object will hit the ground in 2 seconds.
What is height?The vertical distance, either between the top and bottom of something or between a base and something above it, is considered as the height of an object.
Given that, An object is launched straight upward from ground level with an initial velocity of 32 feet per second. The formula h = 32t-16t² gives its height, h, in feet after t seconds.
When the object is hitting the ground, its height will be zero,
Therefore, put h = 0 in the equation,
0 = 32t-16t²
16t² = 32t
16t = 32
t = 2
Hence, the object will hit the ground in 2 seconds.
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PLEASE HELP ANYONE HELP ME W THIS
Answer:
a. 1
b. 5
Step-by-step explanation:
a.Ordered pairs are (x, f(x)). You want f(2), so you look for an ordered pair that lists 2 as the first number. That one is (2, 1). This means f(2) = 1.
__
b.f(2) is plotted as the point (2, f(2)). That is, the x-coordinate of the point will be 2. The point that has x-coordinate 2 is (2, 5).
As above, this means f(2) = 5.
Write an expression to represent: 9 more than the quotient of 2 and x
Expression for given numerical is: 9+ (2/x)
Given that we have an word equation that is 9 more than the quotient of 2 and x
A quotient is a quantity produced by the division of two numbers.
Quotient of 2 and x is \(\frac{2}{x}\).
Nine(9) more than 2/x is = 9+ (2/x)
So we have an expression that is:
9+ (2/x)
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I need help finding the perimeter to this shape, show your work so I can understand thanks
Step-by-step explanation:
there you go hope this helps you
which of the following conditions is characteristic of a monopolistically competitive firm in both the short run and the long run? a. p > mc b. p < mr c. p
In both the short run and the long run, the characteristic of a monopolistically competitive firm is that the market price will be equal to its marginal cost (p = mc).
A monopolistically competitive firm is characterized by several conditions, both in the short run and the long run. In the short run, a monopolistically competitive firm will have a market price that is greater than its marginal cost (p > mc).
In the long run, a monopolistically competitive firm will have a market price that is equal to its marginal cost (p = mc). This is because, in the long run, the firm faces increased competition and has to set its price at the level where its marginal cost equals its price.
In conclusion, in both the short run and the long run, the characteristic of a monopolistically competitive firm is that the market price will be equal to its marginal cost (p = mc). This is because in the short run, the firm has some market power and can charge a higher price, and in the long run, the firm faces increased competition and has to set its price at the level where its marginal cost equals its price.
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You throw two dice. What is the probability of rolling a 2 on at least one of the dice?
I'll give brainliest to correct answer. Please explain why
Answer:
0,027
Step-by-step explanation:
Rolling two fair dice more than doubles the difficulty of calculating probabilities. This is because rolling one die is independent of rolling a second one. One roll has no effect on the other. When dealing with independent events we use the multiplication rule. The use of a tree diagram demonstrates that there are 6 x 6 = 36 possible outcomes from rolling two dice.
Answer:
11/36
Step-by-step explanation:
There are 36 possible outcomes from rolling 2 dice because the first die has 6 possible outcomes and so does the second.
If the first dice is a 2, the second die can be from 1 to 6. So, there are 6 ways that one dice can show a 2. Since it can happen to both die, you double it to be 12.
But, we have counted the roll of 2,2 twice. So we minus 1 possibility.
Thus, there are 11 ways to roll at least one 2 and 36 possibilities.
A polynomial f(x) has a lead coefficient of one and exactly three distinct zeros. Find the polynomial that uld go with this (multiply it all out) x = -2 is a zero with a multiplicity of one is a zero with a multiplicity of two x = 3 X = 1 is a zero with a multiplicity of one 0
If x = -2 is a zero with a multiplicity of one, x = 3 is a zero with a multiplicity of two, and x = 1 is a zero with a multiplicity of one, then the polynomial can be written in factored form as:
\(f(x) = (x + 2)(x - 3)^2(x - 1)\)
To find the polynomial in expanded form, we can use the distributive property and the rules of exponents:
\(f(x) = (x + 2)(x - 3)(x - 3)(x - 1)\\= (x^2 - x - 6)(x - 3)(x - 1)\\= (x^3 - 4x^2 + 3x + 18)(x - 1)\\= x^4 - 5x^3 + 6x^2 + 4x + 18\)
Therefore, the polynomial that has a lead coefficient of one and exactly three distinct zeros, with x = -2 as a zero with multiplicity of one, x = 3 as a zero with multiplicity of two, and x = 1 as a zero with multiplicity of one, is:
\(f(x) = x^4 - 5x^3 + 6x^2 + 4x + 18\)
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Which of the following lists is in the correct order from smallest to largest?
-19, -14, 5, 11
-7,-3, 6, 2.
11, -12, 15, -19
-13, -19, -21, -24
Answer:
D the 4th one that starts with-13.
Review the simple interest rate based on FICO scores to answer the question:
FICO Score Simple Interest Rate
800–850 5.295%
740–799 6.597%
670–739 9.132%
580–669 10.358%
300–579 14.313%
Kamryn plans to borrow $13,250.00 with a simple interest rate loan. Determine the amount of interest Kamryn will save if she is able to raise her credit score from 665 to 680.
Kamryn would save $159.99 in interest by raising her credit score from 665 to 680 when borrowing $13,250.00 with a simple interest rate loan.
To determine the amount of interest Kamryn will save by raising her credit score from 665 to 680, we need to compare the interest rates associated with each credit score range.
According to the given information, a credit score of 665 falls within the range of 580-669, where the corresponding simple interest rate is 10.358%.
Let's calculate the interest Kamryn would pay on a loan of $13,250.00 at an interest rate of 10.358%.
Interest = Principal * Rate
= $13,250.00 * 0.10358
≈ $1,370.56
Therefore, if Kamryn were to borrow $13,250.00 with a credit score of 665, she would pay approximately $1,370.56 in interest.
Now, let's consider the scenario where Kamryn raises her credit score to 680. A credit score of 680 falls within the range of 670-739, where the corresponding simple interest rate is 9.132%.
Calculating the interest with a credit score of 680:
Interest = Principal * Rate
= $13,250.00 * 0.09132
≈ $1,210.57
Thus, if Kamryn were able to raise her credit score from 665 to 680, she would save approximately $1,370.56 - $1,210.57 = $159.99 in interest.
Therefore, Kamryn would save approximately $159.99 in interest by raising her credit score from 665 to 680 when borrowing $13,250.00 with a simple interest rate loan.
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HELP ILL GIVE BRAINLIEST!!! Which is enough information to prove that s || * ? 1\2 4 3 5 \6 t 021-23 22:28 25+26= 180° 1+ 24 = 180° +
Answer:
The second answer choice
Step-by-step explanation:
Angle 2 is congruent to angle 8.
If x3 = 8 and y3 = 125, what
is the value of y - x?
Answer:
X to power 3is=2 while y to power 3is=5so5-2=3
Step-by-step explanation:
x cubed is =8 so cube root of 8is 2
y cubed is =125so cube root of 125is 5
therefore 5-2=3
What is the solution to 3+x=x+3
Answer:
all real numbers
Step-by-step explanation:
if you subtract x from both sides, you get x=x. This is true for basically any number
convert 62/80 to a decimal and to a percent
What is the y-intercept of the line representing Beatrice's monthly music subscription bill as a function of the number of songs she downloaded?
$$
The y-intercept of the line representing Beatrice's monthly music is 20
How to determine the y-intercept of the lineFrom the question, we have the following parameters that can be used in our computation:
y = -.95x + 20
To calculate the y-intercept of the line, we set x = 0
So, we have
y = -.95 * 0 + 20
Evaluate
y = 20
Hence, the y-intercept of the line representing Beatrice's monthly music is 20
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Question
What is the y-intercept of the line representing Beatrice's monthly music subscription bill as a function of the number of songs she downloaded?
The equation is y = -.95x + 20
Carter answered 5% of the questions
on a math test incorrectly, or 1
question. What fraction of the
questions did Carter answer correctly?
Answer:19/20
1-20=19
1÷20=0.05
0.05=5%
I hope this is good enough:
If 25 metres of cloth costs Rs. 337. 50 , then the length of the cloth bought for Rs. 810 is
Answer:
19
Step-by-step explanation:
because it not it
Answer:
See below:
Step-by-step explanation:
So first, we can find out the cost for one meter of cloth by dividing 25 by 337.5 Rupees:
\(\frac{337.50}{25} = 13.50\)
We now divide 810 by 13.50
\(\frac{810}{13.50} = 60\)
We now get our answer of 60 meters!
Cheers!
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Jamal is comparing two different kinds of fruit at the store .He wants to buy the one that is the best value per pound. what is the cost per pound for each kind of fruit? Which kind of fruit gives him the best value per pound?
Answer:
apples per pound: 0.25
pears per pound: 0.33
Apples give him the best value per pound
Step-by-step explanation:
to find apple per pound: 4/16= 0.25
to find pears per pound: 7/21= 0.33
please help me with math i’ll give you brainlist
Answer: False
Step-by-step explanation:
25% of the data is between Q1 and the median.
Linear sequence of 35/100,5/10,65/100
The linear rule for the sequence is f(n) = 7/20 + 3/20(n - 1)
Finding the linear rule for the sequenceFrom the question, we have the following parameters that can be used in our computation:
35/100,5/10,65/100
In the above sequence, we can see that 15/100 is added to the previous term to get the new term
This means that
First term, a = 35/100
Common difference, d = 15/100
The nth term is then represented as
f(n) = a + (n - 1) * d
Substitute the known values in the above equation, so, we have the following representation
f(n) = 35/100 + 15/100(n - 1)
So, we have
f(n) = 7/20 + 3/20(n - 1)
Hence, the explicit rule is f(n) = 7/20 + 3/20(n - 1)
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Two planes travel toward each other from cities that are about 1725 km apart at rates of 360 km/hr and 330 kr/hr. They started at the same time. In how many hours
will they meet?
hours.
The two planes will meet after
(Simplify your answer.)
Answer: 2 1/2 or 2.5 hours
Step-by-step explanation:
Add 360 and 330
360 + 330 = 690
Divide 1,725 by 690
1,725 / 690 = 2.5
The two planes will meet in 2.5 hours
The speed is the distance covered by an object at a particular time. The time it will take for the two planes to meet is 2.5 hours.
What is speed?The speed is the distance covered by an object at a particular time. Therefore, it is the ratio of distance and time.
\(\rm{Speed = \dfrac{Distance}{Time}\)
Given that the speed of the two planes is 360 km/hr and 330 km/hr. Therefore, the relative speed of the two planes with respect to each other is,
Relative speed = 360 km/hr + 330 km/hr
= 690 km/hr
Now, since the total distance between the two cities is 1725 km. Therefore, the time it will take for two planes to meet is,
Time = Distance /Speed
= 1725 km / 690 km/hr
= 2.5 hour
Hence, the time it will take for the two planes to meet is 2.5 hours.
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Maya used a recipe in which 2 tablespoons of vinegar were mixed with 3 tablespoons of olive oil. Which statement about the amount of vinegar mixed with olive oil is true?
2 over 3 tablespoon of vinegar is mixed with every tablespoon of olive oil because the ratio of vinegar to olive oil is 2:3.
2 over 3 tablespoons of vinegar is mixed with every 5 tablespoons of olive oil because the ratio of vinegar to olive oil is 2:5.
2 over 5 tablespoons of vinegar is mixed with every 5 tablespoons of olive oil because the ratio of vinegar to olive oil is 2:5.
2 over 5 tablespoon of vinegar is mixed with every tablespoon of olive oil because the ratio of vinegar to olive oil is 2:3.
Answer:
Step-by-step explanation: becuase if the ratio is 2:3 then the ratio reduced to 1 would be 2/3:1
Answer:
(First Option): 2 over 3 tablespoon of vinegar is mixed with every tablespoon of olive oil
Step-by-step explanation
For every 2 tablespoons of vinegar, it was mixed with 3 tablespoons of olive oil. This leads to a ratio of 2:3, and that rules out option 2 and 3. To get the unit rate we divide 2 tablespoons of vinegar by 3 tablespoons of olive oil. This means that there is 2/3 tablespoons of vinegar for every tablespoon of olive oil and leads it to be answer choice 1.
Which statement is correct?
Group of answer choices
(2.06 times 10 Superscript negative 2 Baseline) (1.88 times 10 Superscript negative 1 Baseline) greater-than StartFraction 7.69 times 10 Superscript negative 2 Baseline Over 2.3 times 10 Superscript negative 5 Baseline EndFraction
(2.06 times 10 Superscript negative 2 Baseline) (1.88 times 10 Superscript negative 1 Baseline) greater-than-or-equal-to StartFraction 7.69 times 10 Superscript negative 2 Baseline Over 2.3 times 10 Superscript negative 5 Baseline EndFraction
(2.06 times 10 Superscript negative 2 Baseline) (1.88 times 10 Superscript negative 1 Baseline) = StartFraction 7.69 times 10 Superscript negative 2 Baseline Over 2.3 times 10 Superscript negative 5 Baseline EndFraction
(2.06 times 10 Superscript negative 2 Baseline) (1.88 times 10 Superscript negative 1 Baseline) less-than StartFraction 7.69 times 10 Superscript negative 2 Baseline Over 2.3 times 10 Superscript negative 5 Baseline EndFraction
witch one is right
Answer:
(2.06 times 10 Superscript negative 2 Baseline) (1.88 times 10 Superscript negative 1 Baseline) greater-than StartFraction 7.69 times 10 Superscript negative 2 Baseline Over 2.3 times 10 Superscript negative 5 Baseline EndFraction
Step-by-step explanation:
A and B are mutually exclusive events. P(A) = 0.20 and P(B) =
0.50.
What is P(A or B)?
There are 8 watermelons and 6 apples in the shopping cart. What is the ratio of
apples to total fruits?
Be sure to write your answer in lowest terms
» There are 8 watermelons and 6 apples in the shopping cart. What is the ratio of apples to total fruits? Be sure to write your answer in lowest terms.
\( \underline{ \mathcal{ANSWER:}}\)\( \blue{ \bold{4:7}}\)— — — — — — — — — —
\( \underline{ \mathcal{EXPLANATION:}}\)Based on the problem, there are 8 watermelons and 6 apples in the shopping cart. So,
\( \sf \: Apple = \green6 \)\( \sf \: Watermelon = \green 8\)\( \sf \: Total \: Fruits= \green {14 }\)Therefore, the ratio of apples to total fruits is 8:14 and its lowest term is 4:7.
_______________∞_______________
By the time this question gets answered i won’t need the answer anymore but it can help someone else
Point A is a solution to the system of inequalities for the given coordinate grid.
What is inequality?Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.
The given coordinate grid shows points A through K.
The system of inequalities is given, as follows:
y ≤ -2x + 10
y > (1/2)x - 2
The solution to the system of inequalities is the region that is above the line for the second inequality and below the line for the first inequality. This region is the shaded region that lies between the two lines, which represents the set of points that satisfies both inequalities.
Thus, point A is a solution to the system of inequalities
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f(x)=-1/2x+3. G is a quadratic function with the following properties: g has lesser y-intercept than f; the maximum value of g and y-intercept are not equal; first g increases and the it decreases. Graph function g
The equation is \(g(x) = -\frac{1}{16} (x - 1)^2 + 2\) Graphing this equation below, we get a parabola that opens downwards and intersects the x-axis at x = -2 and x = 4, with a vertex at (1, 2).
Define the term graph?To demonstrate the connection between the two variables, a line or curve is drawn between the plotted points.
To graph function g, we need to find its equation that satisfies the given properties. We know that the y-intercept of g is less than that of f, so we can choose it to be 1. Also, the parabola of g opens downwards and its vertex is between the two x-intercepts, which are at x = -2 and x = 4. We can use these points to find the equation of the parabola in the standard form: g(x) = a(x - h)² + k. Using the fact that g(0) = 1 and the x-intercepts, we can solve for a, h, and k. The resulting equation is:
\(g(x) = -\frac{1}{16} (x - 1)^2 + 2\)
Graphing this equation, we get a parabola that opens downwards and intersects the x-axis at x = -2 and x = 4, with a vertex at (1, 2).
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Suppose that IQ scores have a bell shaped distribution with a mean of 103 and a standard deviation of 15. Using the empirical rule, what percentage of IQ scores are at least 133?
Answer:
95% of the data would lie between the two standard deviation range.
Step-by-step explanation: