Answer:
2. 36
3. 8
4. 64 - 32
5. 7
I hope that this helps you, I'm not sure if number 4 is correct, but I am 100% sure that the rest are correct. I did the math for all of the questions and they should all be correct. I hope you have a wonderful evening!
how many coorinates are on a coordinate plane?
A. 1
B. 6
C. 4
Answer:
4
Step-by-step explanation:
if you're talking about quadrants on a coordinate plane then it is 4:)
coordinate planes are separated into four quadrants (qI,qII,qIII,qIV) shaped like a plus sign, 2 positive quadrants and 2 negative.
Answer:
4! They are called quadrants and quad means 4 <3
Step-by-step explanation:
Jenna alone takes x days to finish a project kelly alone takes 3 days more than jenna alone to finish the project. if they together take 2 days to finish the project, find the value of x.
The value of x is 3 days.
Here,
Jenna alone takes x days to finish a project.
Kelly alone takes 3 days more than Jenna alone to finish the project.
They together take 2 days to finish the project.
We have to find the value of x.
What is Mathematical expression?
Mathematical expression is a way where calculations and analytical processes should be observed.
Now,
Jenna alone takes x days to finish a project.
Hence, Jenna complete work in 1 day = 1/x work
Kelly alone takes 3 days more than Jenna alone to finish the project.
That is, x + 3 days.
Hence, Kelly complete work in 1 day = \(\frac{1}{x+3}\) work
They together take 2 days to finish the project.
Hence, They together complete a work in 1 day = 1/2 work.
To find the value of x we use the formula of work word problem as;
\(\frac{1}{x} + \frac{1}{x+3} = \frac{1}{2} \\\\\frac{(x+3)+x}{x(x+3)} = \frac{1}{2}\\\\2(2x+3) = x (x+3)\\\\4x + 6 = x^{2} + 3x\\\\x^{2} -x-6=0\\\\x^{2} -3x+2x-6=0\\\\x (x-3) +2(x-3)=0\\\\(x+2) (x-3) = 0\\\\x = -2, x = 3\)
Since, The value of x = -2 is not possible (because days are not shown in negative sign).
Hence, The value of x is 3 days.
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if \(2^{x}\) = 1/32 , find the value of x
Answer:
x = -5
Step-by-step explanation:
Given the equation of:
\(\displaystyle{2^x = \dfrac{1}{32}}\)
32 can be written in an exponential form of base 2 as 2⁵ since 2⁵ equals to 32.
\(\displaystyle{2^x = \dfrac{1}{2^5}}\)
Apply the law of exponent where:
\(\displaystyle{\dfrac{1}{a^n} = a^{-n}}\)
Therefore:
\(\displaystyle{2^x = 2^{-5}}\)
We have same base for both sides. Compare and consider the exponents only:
\(\displaystyle{x=-5}\)
Therefore, the value of x is -5.
Step-by-step explanation:
you have to make sure the bases are the same
2 multiplied by itself 5 times equals 32
then equate the powers and solve for x
If S=4 \(\pi\) \(r^{2}\) the value of S When R= 10\(\frac{1}{2}\)
If a mountain rises 25.0 centimeters (cm) in 125 years:
The rate of uplift is
cm/yr
Answer: 0.2 cm/yr
Step-by-step explanation:
simply divide centimeters by years
25.0 cm ÷ 125 yr
0.2 cm/yr ... answer
The rate of uplift is 0.2 cm/yr
hope that helps...
PLEASE HELP!!
Tone Sherburn bought a home with a 10.5% adjustable rate mortgage for 30 years. He paid $9.99 monthly per thousand on his original loan. At the end of 5 years he owes the bank $55,000. Now that interest rates have gone up to 12.5%, the bank will renew the mortgage at this rate or Tone can pay $55,000. Tone decides to renew and will now pay $10.68 monthly per thousand on his loan.
What is the amount of the old monthly payment? What is the percent of increase in his new monthly payment? You can ignore the small amount of principal that has been paid.
old monthly payment = $
new monthly payment = $
% increase
Tone's new monthly payment is 16.16% higher than his old monthly payment To solve the problem, we need to use the formula for the monthly payment of a mortgage loan:
monthly payment = (loan amount x monthly interest rate) / (1 - (1 + monthly interest rate)^(-n))
where:
loan amount = the amount of the loan
monthly interest rate = the annual interest rate divided by 12
n = the total number of payments (in months)
Let's first find the loan amount at the beginning of the mortgage. We know that Tone paid $9.99 per thousand, so we can set up a proportion:
$9.99 / 1000 = monthly payment / loan amount
Solving for the loan amount, we get:
loan amount = monthly payment / ($9.99 / 1000) = $1000 * (monthly payment / $9.99)
Substituting the given values, we get:
loan amount = $1000 * (monthly payment / $9.99) = $55,000
This means that Tone borrowed $55,000 at the beginning of the mortgage.
Now, let's find the old monthly payment. We know that Tone had a 10.5% adjustable rate mortgage for 30 years, which means he made 12 x 30 = 360 monthly payments. We can use the formula above to solve for the monthly payment:
monthly interest rate = 10.5% / 12 = 0.00875
n = 360
monthly payment = ($\(55,000 x 0.00875) / (1 - (1 + 0.00875)^(-360)\)) = $512.47
Therefore, Tone's old monthly payment was $512.47.
Next, let's find the new monthly payment. We know that Tone will renew his mortgage at 12.5% interest rate, which means the new monthly interest rate is:
monthly interest rate = 12.5% / 12 = 0.01042
We also know that Tone will pay $10.68 per thousand, so we can set up a new proportion:
$10.68 / 1000 = new monthly payment / loan amount
Solving for the new monthly payment, we get:
new monthly payment = $10.68 / ($1000 / $55,000) = $595.40
Therefore, Tone's new monthly payment is $595.40.
Finally, let's find the percent increase in the new monthly payment compared to the old monthly payment. We can use the percent change formula:
percent increase = ((new value - old value) / old value) x 100%
Substituting the given values, we get:
percent increase = (($595.40 - $512.47) / $512.47) x 100% = 16.16%
Therefore, Tone's new monthly payment is 16.16% higher than his old monthly payment
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Emily claims that a tree height of 43 inches is an outlier for the distribution. Based on the 1. 5×iqr rule for outliers, is there evidence to support the claim?.
Emily claims that a tree height of 43 inches is an outlier for the distribution.
What is the 1.5 IQR rule for outliers?
Add 1.5 to the interquartile range (IQR) (a constant used to discern outliers). The third quartile is increased by 1.5 times (IQR). Any figure above this is thought to be an outlier.
The starting and the end of the box in box plot are first and third quartile respectively.
From the given box plot it is clear that, Q₁ = 34 and Q₃ = 38
IQR = Q₃ - Q₁
IQR = 38 - 34
IQR = 4
According to 1.5x IQR rule for outliers, all the data values lies outside the interval [ Q₁ - 1.5 × IQR , Q₃ + 1.5 × IQR ] are outliers..
Q₃ + 1.5 × IQR = 38 + 1.5(4)
Q₃ + 1.5 × IQR = 38 + 6
Q₃ + 1.5 × IQR = 44
We know that, 43<44.
Since, 43 is not greater than Q₃ + 1.5 × IQR therefore, 43 is not an outlier and there is no evidence to support the claim.
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60. the word spelled humor by a person from the us is spelled humour by a person from britain. at a party, two-thirds of the guests are from the us and one-third from britain. a randomly chosen guest writes the word, and a letter is chosen at random from the word as written. a. if this letter is a u, what is the probability that the guest is from britain? b. if the letter is an h, what is the probability that the guest is from britain?
a) If the letter chosen is a "u," the probability that the guest is from Britain is 1.
b) If the letter chosen is an "h," the probability that the guest is from Britain is 1/2.
a) Let's first find the probability that a randomly chosen guest writes the word with a "u." The probability that a person from the US spells "humor" with a "u" is 0, while the probability that a person from Britain spells "humour" with a "u" is 1. Therefore, the probability that a randomly chosen guest spells the word with a "u" is
(2/3) x 0 + (1/3) x 1 = 1/3
Now, we want to find the probability that the guest is from Britain given that the letter chosen is a "u". We can use Bayes' theorem to find this:
P(Britain|u) = P(u|Britain) x P(Britain) / P(u)
P(u) is the probability that the letter chosen is a "u," which we found to be 1/3. P(u|Britain) is the probability that a person from Britain spells the word with a "u," which is 1. P(Britain) is the probability that a randomly chosen guest is from Britain, which is 1/3. Plugging in these values, we get:
P(Britain|u) = 1 x 1/3 / 1/3 = 1
b) Similarly, we can find the probability that the letter chosen is an "h":
P(h) = P(h|US) x P(US) + P(h|Britain) x P(Britain)
= 0.5 x 2/3 + 1/3 x 1/2
= 1/3
The probability that a person from the US spells the word with an "h" is 0.5, while the probability that a person from Britain spells the word with an "h" is 1/2.
Now, we want to find the probability that the guest is from Britain given that the letter chosen is an "h." Using Bayes' theorem again:
P(Britain|h) = P(h|Britain) x P(Britain) / P(h)
P(h|Britain) is the probability that a person from Britain spells the word with an "h," which is 1/2. P(Britain) is still 1/3. P(h) is the probability that the letter chosen is an "h," which we found to be 1/3. Plugging in these values, we get
P(Britain|h) = 1/2 x 1/3 / 1/3 = 1/2
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I will give you 30 points
1. Three examples of situations where consistency is important:
HealthcareFinancial transactionsSports RulesHow do these portray consistency?Healthcare: when treating patients, healthcare providers must follow consistent procedures and protocols to ensure that every patient receives the same level of care.
Financial transaction: when making financial transactions, it is important to follow regular security rules to prevent fraud.
Support rules: Adherence to consistent rules and regulations in sports is essential to ensure fair play and the safety of all participants.
2. The number 0 is important in mathematical systems because it represents the absence of a number and serves as a placeholder. Without zero, our mathematical system would be affected in many ways. For example, writing the number 100 would be difficult without the zero. Without the invention of zero, progress in mathematics would have been delayed.
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give me an answer i dont need an explanation both would be nice thank you
The surface area of the triangular prisms are:
1. 116 cm²
2. 82 cm².
How to Find the Surface Area of a Triangular Prism?To find the surface area of the triangular prism, add the areas of all the faces or shapes that make up the net of the triangular prism.
Problem 1: The triangular prism net consists of 2 identical rectangles, 2 identical triangles and 1 different rectangle.
Area of rectangle = length * width
Area of triangle = 1/2(base * height)
Therefore:
Area of the two identical rectangles = 2(7 * 4) = 56 cm²
Area of the larger rectangle = 6 * 7 = 42 cm²
Area of the two identical triangles = (6 * 3) = 18 cm²
The surface area= 56 + 42 + 18 = 116 cm²
Problem 2:
Area of the rectangle 1 = 6 * 3 = 18 cm²
Area of the rectangle 2 = 6 * 4 = 24 cm²
Area of the rectangle 3 = 6 * 5 = 30 cm²
Area of the two identical triangles = (5 * 2) = 10 cm²
The surface area = 18 + 24 + 30 + 10 = 82 cm²
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(12a)*0=0*(12a)
what is the answer
Answer:
a can be anything, both sides do the same thing
Step-by-step explanation:
The function f is defined for all x in the closed interval [a,b]. If f does not attain a maximum value on [a,b], which of the following must be true?
answer choices
O f is not continuous on [a,b].
O f is not bounded on [a,b].
O f does not attain a minimum value on [a,b].
O The graph of f has a vertical asymptote in the interval [a,b].
O The equation f'(x) = 0 does not have a solution in the interval [a,b].
If f does not attain a maximum value on [a,b], then the function does not attain a maximum value. The option "f does not attain a minimum value on [a,b]" must be true.
What is a maximum value?A maximum value is the highest value of a function, that is, the largest y-value of a graph. For example, f(x) = x² has a maximum value of infinity because the parabola opens upwards, and its value keeps increasing infinitely. Therefore, the highest value it attains is infinite.
How does it relate to the problem?If f does not attain a maximum value, then there is no highest value, meaning that the value of the function increases indefinitely. In that case, there must not exist a minimum value, since the function keeps rising indefinitely without any upper bound. Hence, f does not attain a minimum value on [a,b].
Option C must be true, which is: O f does not attain a minimum value on [a,b].
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The formula for the area of a trapezoid is Area = 1/2h(b1 + b2). Write an expression for the sum of the bases of the trapezoid if the area is equal to 10x2 + 20x and the height is equal to 20x.
Group of answer choices
40x
x + 2
x + 10
x^2 + 2x
The expression for the sum of the bases of the trapezoid as required is; x + 2.
Which expression represents the sum of bases of the trapezoid?It follows from the task content that;
Area = 1/2 • h • (b1 + b2).
Therefore, the sum of bases is given by the formula;
(b1 + b2) = (2 × Area) / h.
(b1 + b2) = 2(10x² + 20x) / 20x
(b1 + b2) = x + 2.
Ultimately, the required expression is; x + 2.
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WO)=1665945(1,087) is a model for the number of new cases of whooping cough where t is the number of years since 1980. a. Find the number of new cases in 1990. Round to the nearest case. b. In what year does the number of new cases reach 18,000?
The number of years after 1980 when the number of new cases reaches 18,000.the formula W(t) = 1665945(1.087)^t, we can calculate W(10) to determine the number of new cases in 1990.
To find the number of new cases in 1990, we need to substitute t = 1990 - 1980 = 10 into the given model.
Using the formula W(t) = 1665945(1.087)^t, we can calculate W(10) to determine the number of new cases in 1990.
Rounding the result to the nearest case will give us the answer.
To find the year when the number of new cases reaches 18,000, we can set W(t) = 18,000 and solve for t.
Using the formula W(t) = 1665945(1.087)^t, we can set 1665945(1.087)^t = 18,000 and solve for t.
This will give us the number of years after 1980 when the number of new cases reaches 18,000.
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Function (T/F) Please help.
Answer:
False
Step-by-step explanation:
it has more than one dot in the same row, which means it has the same number more than once in the x - axis.
Answer:
False
Step-by-step explanation:
You can check whether a graph represents a function by using the vertical line test.
Draw a vertical line on the graph, the vertical line intersects the graph at many points, therefore the graph does not represent a function.
Watch help video Find the length of the third side. If necessary, write in simplest radical form. 7 4√2
In simplest radicle form, the length of the third side = 9 units.
Given,
Side A = 7 units.
Side B = 4√2 units.
To find Side C, we use the Pythagorean formula,
a² = b² + c²
7² = \(4\sqrt{2}^{2}\) + c²
c² = 49 + 32
c² = 81
√c² = √81
c = -9,9.
c ≠ -9 as negative values are not considered for dimensions.
Hence, the length of the third side is 9 units.
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Your question is incomplete. The complete question is:
With reference to the figure below, find the length of the third side. If necessary, write in the simplest radical form.
Which pair of functions is not a pair of inverse functions?A. flt=*1 and g(t)=68–1B. f(x)= $184 and g(x)=193+4C. f(x)= 35 and g(1)=5VTD. f(x)== # 20 and g(x)= 2041
Answer
Option D is the pair of functions which is not a pair of inverse function.
Explanation
First of, the inverse of a function is a function that reverses the actions of the function. That is, for the inverse function, if we are given f(x), we would be able to obtain x.
The step to finding a function's inverse is to write y instead of f(x). We then rewrite by replacing the y by x and then make y the subject of formula, the y which is a subject of formula now, represents the inverse function, f⁻¹(x).
For each of them, we can get the other one from it.
f(x) = (x + 1)/6
y = (x + 1)/6
x = (y + 1)/6
Cross multiply
6x = y + 1
y = 6x - 1
g(x) = 6x - 1
f(x) = (x - 4)/19
y = (x - 4)/19
x = (y - 4)/19
19x = y - 4
y = 19x + 4
g(x) = 19x + 4
f(x) = x⁵
y = x⁵
x = y⁵
y = 5√x
g(x) = 5√x
Only option D doesn't give the inverse of the other function.
Hope this Helps!!!
what is the equation for 24c+36d+18
Answer:
4, if you are using the distributive property
which whould most likely weigh 2 pounds
a mouse
a pencil
a dictionary
a school desk
Answer: I say a dictionary.
Step-by-step explanation:
no. ............................................................... .
Answer:Oh - Step-by-step explanation
Simplify the quantity 7 minus one fourth times the square root of 16 end quantity squared plus the quantity 2 minus 5 end quantity squared.
27
45
324
900
The value of the expression (7 - 1/4 × ✓16)² + (2 - 5)² is 45
In this question, we have been given a statement 'the quantity 7 minus one fourth times the square root of 16 end quantity squared plus the quantity 2 minus 5 end quantity squared'
We write above statement in mathematical expression form as,
(7 - 1/4 × ✓16)² + (2 - 5)²
We need to simplify above expression.
(7 - 1/4 × ✓16)² + (2 - 5)²
= (7 - 1)² + (-3)²
= 6² + 3²
= 36 + 9
= 45
Therefore, the value of the expression (7 - 1/4 × ✓16)² + (2 - 5)² is 45
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Which goes with which?? Please help and only answers that make sense
hope it helps...!!!
Answer:
Check the image That’s I provided
what is the domain and range of this graph?
Answer:
Domain- {-2,2}
Range-{-3,2}
Step-by-step explanation:
Find each boundary of the line and make the corresponding points because its a continuous line.
Solve for angle 1 and 2
Considering the figure, the angles are solved to be
angle 1 = 46 degreesangle 2 = 79.5 degreesHow to solve for angle 1 and angle 2Considering the figure, the value of angle 1 is solved knowing that angle on a semicircle is 180 degrees
considering this we have that
134 + angle 1 = 180
angle 1 = 180 - 134
angle 1 = 46 degrees
Angle 2 is solved using angle on intersecting chord The Angles on Intersecting Chord Theorem, states that If two chords intersect inside a circle, then the measure of the angle formed is one half the sum of the measure of the arcs intercepted by the angle and its vertical angle.
Angle 2 = 1/2 (113 + 46)
Angle 2 = 1/2 (159)
Angle 2 = 79.5
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The measures of the angles of a triangle are shown in the figure below. Solve for x.
Answer:
x=17 degrees
Step-by-step explanation:
All 3 angles = 180 degrees
So 90 + 54 + (x+19) = 180
Combine like terms
163 + x = 180
Subtract 163 from both sides
x = 180-163
x = 17
can these three angles 47, 84, and 56 create a triangle
Answer:
No. The sum of the 3 angles of a triangle = 180 degrees. In this case the 3 angles, 47 + 84 + 56 = 187 degrees, not 180 degrees.
Draw the image of ABC under the translation by 1 unit to the right and 4 units up
The image of ABC under the translation by 1 unit to the right and 4 units up is the triangle with vertices A', B', and C'.
What is Triangle?A triangle is a closed two-dimensional geometric shape with three straight sides and three angles. It is one of the basic shapes in geometry and has been studied since ancient times. To translate a figure by a given vector, you need to move each point of the figure by the same amount and in the same direction as the vector. In this case, we want to translate ABC by a vector of (1, 4), which means we need to move each point of ABC one unit to the right and four units up.
Let's say the coordinates of the points of ABC are:
A = \(\rm (x_1, y_1)\)
B = \(\rm (x_2, y_2)\)
C = \(\rm (x_3, y_3)\)
To translate ABC by the vector (1, 4), we add 1 to each x-coordinate and 4 to each y-coordinate:
A' = \(\rm (x_1 + 1, y_1 + 4)\) (x₁ + 1, y₁ + 4)
B' = \(\rm (x_2 + 1, y_2 + 4)\) (x₂ + 1, y₂ + 4)
\(\rm C' = (x_3 + 1, y_3 + 4)\) (x₃ + 1, y₃ + 4)
Therefore, The image of ABC under the translation by 1 unit to the right and 4 units up is the triangle with vertices A', B', and C'.
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Rhonda bought a new laptop for
. The laptop depreciates, or loses,
of its value each year. The value of the laptop at a later time can be found using the formula
, where P is the original value, r is the rate of depreciation written as a decimal, and t is the number of years since it was purchased. What will the laptop be worth in two years?
In two years, the laptop will be worth $blank.
The laptop will be worth $594.48 in two years.
To find the value of the laptop in two years, we need to substitute the given values into the formula:
Value = P x (1 - r)ⁿ
In this case, the original value of the laptop is $700, and it depreciates at a rate of 0.08 per year (which is 8% expressed as a decimal). We want to find the value in two years, so t = 2.
Substituting the values into the formula:
Value = $700 x (1 - 0.08)²
Value = $700 x (0.92)²
Value ≈ $700 x 0.8464
Value ≈ $594.48
Therefore, the laptop will be worth $594.48 in two years.
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To solve the system of linear equations 3 x minus 2 y = 4 and 9 x minus 6 y = 12 by using the linear combination method, Henry decided that he should first multiply the first equation by –3 and then add the two equations together to eliminate the x-terms. When he did so, he also eliminated the y-terms and got the equation 0 = 0, so he thought that the system of equations must have an infinite number of solutions. To check his answer, he graphed the equations 3 x minus 2 y = 4 and 9 x minus 6 y = 12 with his graphing calculator, but he could only see one line. Why is this?
Henry could only see one line since both lines had the same slope, which means that the graphs of both equations will be identical and hence overlap.
Identify the linear equation?Linear equations in a system 3x + 2y = 4, and 9x + 6y = 12
We must demonstrate why Henry could only make out one line when he plotted the equations 3x-2y=4 and 9x-6y=12 on a graph.
Take the provided linear equation system into consideration.
3x - 2y = 4 ................(1)
9x - 6y = 12 ..................(2)
Due to the fact that equation (2) is a multiple of equation (1), 3 (3x - 2y = 4) = 9x - 6y = 12
The slopes of the provided equations are also same.
Difference with regard to x for equation (1) yields,
additional to equation (2),
With regard to x, we can differentiate to get,
The graphs of both equations will overlap since both lines have the same slope and hence have the same appearance on the graph.
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plz help i need help
Answer:
For 2 circle 1, 3, 4, and 5