Answer:
60 cm
Step-by-step explanation:
remember, the area of a triangle is found by
1/2 b h
or half of the base times the height
so using that plug in the values:
the base is made of two 5s; 2* 5 is 10 so the base is 10cm long
the height is 12cm
so
1/2 * 12 * 10
= 6 * 10
= 60
Answer:
I think its 60
Step-by-step explanation:
To find the area of a triangle you do (height x base) divided by 2
5+5=10
12 x 10 = 120
120 divided by 2 is 60
find the missing side
Answer:
x = 27.6907 units
Step-by-step explanation:
cos (62) = 13/x
x cos (62) =13
13 / cos(62)=x
x is 27.6907 units
Determine the inverse of the function f (x) = 3(x − 4)2 + 5.
inverse of f of x is equal to 4 minus the square root of the quantity of the quantity x minus 5 end quantity over 3 end quantity such that the domain of f (x) is x ≥ 4
inverse of f of x is equal to 4 minus the square root of the quantity of the quantity x minus 5 end quantity over 3 end quantity such that the domain of f (x) is x ≤ 4
inverse of f of x is equal to 4 minus the square root of the quantity x over 3 minus 5 end quantity such that the domain of f (x) is x ≥ 4
inverse of f of x is equal to 4 minus the square root of the quantity x over 3 minus 5 end quantity such that the domain of f (x) is x ≤ 4
The inverse of the function f(x) = 3(x - 4)² + 5 is f^-1(x) = √[(x - 5)/3] + 4
Inverse of a functionA function is said to have an inverse if it is both one-to-one and onto
For the function f(x) = 3(x - 4)² + 5
we replace f(x) with y and make x the subject to arrive at the inverse f^-1(x) as follows;
y = 3(x - 4)² + 5
y - 5 = 3(x - 4)² + 5 - 5 {subtract 5 from both sides}
(y - 5)/3 = [3(x - 4)²]/3 {divide through by 3}
also;
(x - 4)² = (y - 5)/3
x - 4 = √[(y - 5)/3] {square root of both sides}
x - 4 + 4 = √[(y - 5)/3] + 4
x = √[(y - 5)/3] + 4
so,
y = √[(x - 5)/3] + 4 and
f^-1(x) = √[( - 5)/3] + 4
Hence, the inverse of the function f is derived by interchanging the value of x for y and vice versa, that is f^-1(x) = √[(x - 5)/3] + 4.
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The sum of two numbers is 50 and the difference is 4
Step-by-step explanation:
let the 2 numbers be x and x + 4 as their deference is 4.
their sum = 50
now,
→ x + x + 4 = 50
→ 2x + 4 = 50
→ 2x = 50 - 4 = 46
→ x = 46/2 = 23
therefore two numbers are,
x = 23
x + 4 = 23 + 4 = 27
hope this answer helps you dear...take care and may u have a great day ahead!
Step-by-step explanation:
x + y = 50
x - y = 4
x = y + 4
let's use that as substitute in the first equation
y + 4 + y = 50
2y = 46
y = 46/2 = 23
=>
x = y + 4 = 23 + 4 = 27
the 2 numbers are 23 and 27.
Solve for n please, with work , thank you!
\( \huge \boxed{\mathfrak{Question} \downarrow}\)
\( \sf1 - 3 n \gt - 1 - 4 ( 2 n - 8 )\)
Solve the inequality algebraically.\( \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}\)
\( \sf1 - 3 n \gt - 1 - 4 ( 2 n - 8 )\)
Use the distributive property to multiply -4 by 2n-8.\( \sf1-3n>-1-8n+32 \)
Add -1 and 32 to get 31.\( \sf1-3n>31-8n \)
Add 8n to both sides.\( \sf1-3n+8n>31 \)
Combine -3n and 8n to get 5n.\( \sf1+5n>31 \)
Subtract 1 from both sides.\( \sf5n>31-1 \)
Subtract 1 from 31 to get 30.\( \sf5n>30 \)
Divide both sides by 5. As 5 > 0, the direction of the inequality remains the same.\( \sf \: n>\frac{30}{5} \\ \)
Divide 30 by 5 to get 6.\( \boxed{ \boxed{ \bf \: n>6 }}\)
a matrix consisting entirely of zeros is called a
A matrix consisting entirely of zeros is called a zero matrix, or an all-zero matrix.
It is denoted with the symbol O and can be written in a matrix form, such as O = [0 0 0 0] where the number of columns and rows depends on the size of the matrix. A zero matrix is a matrix which has all its elements equal to zero. It has a number of special properties that make it useful in linear algebra. For instance, the sum of any two zero matrices is a zero matrix, and any scalar multiple of a zero matrix is a zero matrix. Additionally, the product of two zero matrices is a zero matrix, and the product of a zero matrix and an identity matrix is a zero matrix. These properties make it useful in solving systems of linear equations where all the coefficients are zero. Finally, the inverse of a zero matrix does not exist since its determinant is zero.
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The cost and customer rating of 15 cars is shown on the scatterplot. The cars are rated on a scale of 0 to 100. Scatterplot with x axis labeled Car Price, US dollars, going from 2,000 to 5,000 and y axis labeled Rating going from 0 to 120. Values at 2,678, 33; 2,774, 40; 2,961, 30; 2,945, 15; 3,356, 44; 3,335, 66; 3,489, 98; ,3613, 86; 3,906, 49; 3,997, 55; 4,030, 65; 4,200, 11; 4,350, 54; 4,494, 75; 4,601, 74. Part A: Describe the association shown in the scatterplot. (4 points). Part B: Give an example of a data point that affects the appropriateness of using a linear regression model to fit all the data. Explain. (4 points) Part C: Give an example of a car that is cost effective and rated highly by customers. (2 points)
Based on the scatter plot for this data, we can logically deduce that the association between them is a positive association.
What is a scatter plot?A scatter plot can be defined as a type of graph which is used to graphically represent the values of two (2) variables, with the resulting points showing any association (correlation) between the data set.
Part A.Based on the scatter plot for this data, we can deduce that the association between them is a positive association because the price and customer rating increases together.
Part B.An example of a data point which would affect the appropriateness of using a linear regression model to fit all the data is car price of $4,601 and customer rating of 100.
Part C.An example of a car that is cost effective and rated highly by customers is the one with a customer rating of 100 and sold at $3,500.
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Answer
Step-by-step explanation:
? Divided by ? = 1/9
Answer:
0.11
Step-by-step explanation:
Which of the following is the graph of y = 3/4-X - -3?
Answer:
B
Step-by-step explanation:
The negative cancled out leaving the 3 postive.
What fraction of 3 3/4 is 22 1/2
30 points
fractions are a way of expressing the part of a whole.
What is the fraction?To answer this question, we need to first convert both fractions into the same denominator. The fraction 3 3/4 can be converted to 15/4, and 22 1/2 can be converted to 45/2.Once both fractions are in the same denominator, we can divide the numerators by the denominators to get the solution. When we divide 15/4 by 45/2, the answer is 1/3. Therefore, 22 1/2 is one third of 3 3/4. To explain this in more depth, In the fraction 3 3/4, the numerator 3 is the number of parts of the whole, and the denominator 4 is the number of equal parts that make up the whole.Therefore, 3 3/4 can be expressed as 3 parts out of 4 parts, or 3 out of every 4. Similarly, 22 1/2 can be expressed as 22 parts out of 2 parts, or 22 out of every 2. When we divide 15/4 by 45/2, we are essentially asking what fraction of 3 3/4 is 22 1/2. To get the answer, we divide 15, the numerator of 3 3/4, by 45, the numerator of 22 1/2. This gives us the answer of 1/3. In other words, 22 1/2 is one third of 3 3/4.3 3/4 = 15/4
22 1/2 = 90/4
90/4 ÷ 15/4 = 6
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Which graph represents the solution set of this inequality?
\qquad10c + 5 \leq 4510c+5≤4510, c, plus, 5, is less than or equal to, 45
Choose 1 answer:
(Choice A)
A
(Choice B)
B
(Choice C)
C
(Choice D)
D
Answer:
B
Step-by-step explanation:
For me on Khan is B
Which points are reflections of each other across both axes?(–2, 8) and (2, –8)(–7, –1) and (–7, 1)(5, –6) and (–5, –6)(4, –3) and (–3, 4)
The points (–2, 8) and (2, –8) are reflections of each other across both axes. This can be seen by taking their coordinates and plugging them into the reflection formula, which is (x, y) → (–x, –y).
When we plug in the coordinates for the first point, we get (–2, 8) → (–(–2), –(8)) = (2, –8). This is the coordinates of the second point, so they are reflections of each other.
The points (–7, –1) and (–7, 1) are also reflections of each other across both axes. Using the same reflection formula, we get (–7, –1) → (–(–7), –(–1)) = (7, 1), which are the coordinates of the second point.
The points (5, –6) and (–5, –6) are reflections of each other across both axes. Applying the reflection formula, we get (5, –6) → (–(5), –(–6)) = (–5, 6), which are the coordinates of the second point.
Finally, the points (4, –3) and (–3, 4) are reflections of each other across both axes. Using the reflection formula, we get (4, –3) → (–(4), –(–3)) = (–4, 3), which are the coordinates of the second point.
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-10
ious Activity
Type har
-5
10+y
O
-10
-20
5
Select the quadratic inequality that represen
graph.
Ov²(x+3)²-24
vs-(x-3)²+24
v2 - (x-3)2+24
Oys (x+3)²-24
O
The quadratic inequality defined on the graph is given as follows:
y ≥ 2/3(x + 3)² - 24.
How to define the quadratic inequality?The coordinates of the vertex of the quadratic function are given as follows:
(-3, -24).
Hence the quadratic function is given as follows:
y = a(x + 3)² - 24.
In which a is the leading coefficient.
When x = 3, y = 0, hence the leading coefficient a is obtained as follows:
0 = a(3 + 3)² - 24
36a = 24
a = 24/36
a = 2/3.
Hence:
y = 2/3(x + 3)² - 24.
The quadratic function has a solid curve, and the values above it are pained, hence the inequality is given as follows:
y ≥ 2/3(x + 3)² - 24.
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how was your stay? a hotel has 30 floors with 40 rooms per floor. the rooms on one side of the hotel face the water, while rooms on the other side face a golf course. there is an extra charge for the rooms with a water view. the hotel manager wants to survey 120 guests who stayed at the hotel during a convention about their overall satisfaction with the proper
To survey 120 guests for assessing their satisfaction, a hotel with 30 floors and 40 rooms per floor can use a systematic random sampling approach. By randomly selecting 120 rooms from the total of 1,200 rooms, the survey can include a representative sample of guests.
To conduct the survey, the hotel can implement a systematic random sampling technique. With 30 floors and 40 rooms per floor, the hotel has a total of 30 * 40 = 1,200 rooms. The manager can randomly select 120 rooms from this pool of 1,200 rooms to ensure a representative sample of guests.
To achieve proportionality in the sample, the hotel can select rooms proportionally from both the water-facing and golf course-facing sides. For example, if half of the rooms face the water and the other half face the golf course, the survey can include 60 water-facing rooms and 60 golf course-facing rooms.
Once the rooms are selected, the hotel staff can contact the guests who stayed in those rooms during the convention and request their participation in the survey. The survey questions can cover various aspects of their stay, such as amenities, cleanliness, customer service, and overall satisfaction.
By gathering feedback from the guests, the hotel can gain valuable insights to identify areas for improvement and enhance overall guest satisfaction.
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Complete the following sentences: 7. In 49 is the base and is the exponent. 8.72 is the exponential form of 7*___ Rewrite each of the following using exponents. Determine the numerical value. 9. second power of 10 10. fourth power of 5
Answer:
the 4 is the base and the 5 is the exponent
7^2 is the exponential form of 7*7
10^2
5^4
a square pyramid has a volume of 480 cubic inches and a height of 10 inches. what is the perimeter of the base?
Answer:
48 in-------------------
The volume of a pyramid is 1/3 of the product of the base area and height.
V = Bh/3Find the area of the base:
480 = B*10/3B = 480*3/10B = 144The base is the square, so each side is the square root of the base area:
a = √Ba = √144a = 12The perimeter of the base is:
P = 4aP = 4(12)P = 48Answer: 48 inches
Step-by-step explanation:
480*3=1440
1440/10=144
each side: 12
12*4=48 inches
Fill in the missing numbers to complete the pattern:
5.28,5.53, ? , ? 6.28,6.53
Answer:
5.78,6.03
Step-by-step explanation:
the function is .25
How can we use the distributive property to find and expression equivalent to 4(5-3x)
Answer
20 - 12x
Step-by-step explanation
We distribute 4 through the parenthesis:
\(\bf{4(5-3x)}\)
\(\bf{4*5-3x*4}\)
\(\bf{20-12x}\)
Therefore, the answer is 20 - 12x
What factor is used to convert miles per minute to mile per hour
Answer:
the conversion rate to convert miles per hour to minutes per hour is 1 miles per hour = 60 minutes per mile
find the marked angles
Answer:
the angle closest to the 40degree angle is a right angle, so it is 90 degrees. The one with two lines is 50 degrees, and the farthest angle is 40 degrees
Step-by-step explanation:
A square symbol over an angle means it is a right angle, so it will always equal 90 degrees.
The already labeled angle (40 degrees) is equal to the farthest angle.
Once you have two angles, you can find the third angle by simply subracting the two from 180 like this:
180 - 90 - 40 = 50 degrees.
1. A t-shirt company sells t-shirts for $25 apiece if you buy less than 10 t-shirts, $20 apiece it
you buy any amount between 10 and 50 t-shirts, and $15 apiece if you buy more than 50
t-shirts. Shipping the t-shirts is a flat fee of $3, no matter the size of the order,
Part A: Write a piecewise - defined function that represents the total price for ordering
T-shirts.
0
Part B: Represent the function on the graph below.
Step-by-step explanation:
If the number of t-shirts is between 0 and 10, the cost is:
y = 3 + 25x
If the number of t-shirts is between 10 and 50, the cost is:
y = 3 + 20x
If the number of t-shirts is greater than 50, the cost is:
y = 3 + 15x
So the piecewise function is:
\(y=\left \{ \begin{array}{cc}3+25x&0<x<10\\3+20x&10\leq x\leq 50\\3+15x&x>50\end{array}\right\)
Can someone help me out?
Answer:
do I solve it or what am I supposed to do
Answer:
y=6
Step-by-step explanation:
FOR 60 POINTS!!
The ratio of diagonal to length of a rectangular computer is 13:7.
If the actual length is 18 inches, what is the measure of the width of the computer? Provide an answer accurate to the nearest hundredth.
Answer:
Step-by-step explanation:
ISSA PARADE INSIDE MY CITY YEAHHHHH
Answer the questions please and no links
Answer:
3. would be one above the negative 5
4. 3 up from positive 4
5. would be on the negative 2
write the letters on those points respectively.
What is the sum?
X
3
2
+
X+3 x+3 x+3
O
+
colch
53
X+5
X+3
X+5
3x+27
6x
X+3
The outcome or result of adding two or more integers is known as the SUM.
What is a sum?The outcome of adding numbers or quantities mathematically is a summation, often known as a sum. A summation always has an even number of terms in it. There may be just two terms, or there may be 100, 1000, or even a million. Some summations include an infinite number of terms.
the sum of two or more numbers, magnitudes, quantities, or specifics as determined by or as though decided by the addition process in mathematics.
The outcome of adding two or more numbers, objects, or things is referred to in mathematics as the sum.
The result or solution we obtain from adding two or more integers is known as the SUM. Addends are the figures that are combined.
\(Simplify $\frac{x}{x+3}+\frac{3}{x+3}+\frac{2}{x+3}: \frac{x+5}{x+3}$Steps$$\frac{x}{x+3}+\frac{3}{x+3}+\frac{2}{x+3}$$Apply the fraction rule: $\frac{a}{c}+\frac{b}{c}=\frac{a+b}{c}$$$=\frac{x+3+2}{x+3}$$Add the numbers: $3+2=5$$$=\frac{x+5}{x+3}$$\)
Therefore, the correct answer is option b) \($=\frac{x+5}{x+3}$\)
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You roll a twelve-sided die (having values one through twelve on its faces). What is the probability that the value of the roll will be a composite number?
show work pls!
Step-by-step explanation:
If a die is rolled once, determine the probability of rolling a 4: Rolling a 4 is an event with 1 favorable outcome (a roll of 4) and the total number of possible outcomes is 6 (a roll of 1, 2, 3, 4, 5, or 6). Thus, the probability of rolling a 4 is .
If a die is rolled once, determine the probability of rolling at least a 4: Rolling at least 4 is an event with 3 favorable outcomes (a roll of 4, 5, or 6) and the total number of possible outcomes is again 6. Thus, the probability of rolling at least a 4 is = .
A cup of cereal has 12 grams of fiber, which is 40% of the amount of fiber jared’s doctor recommends he consume each day. how much fiber does jared’s doctor recommend he consume each day?
The amount of fiber asked by the doctor to be consumed is 30 grams .
Method to calculate percentages :
Percentage can be calculated by dividing the value by the total value, and then multiplying the result by 100 .
Let the amount of fiber asked by the doctor to be consumed be x .
According to question ,
40 % of x = 12
Solving the equation ,
( 40 / 100 ) * x = 12
x = 1200 / 40
x = 30
Hence , the amount of fiber asked by the doctor to be consumed is 30 grams .
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Answer:
30
Step-by-step explanation:
find the derivative of the function g(x) = (x^2 - x +
1)^10.(tanx)^3.
The derivative of the function g(x) = (x² - x + 1\()^1^0\) * (tan(x))³ is g'(x) = 10(x² - x + 1)⁹ * (2x - 1) * (tan(x))³ + 3(x² - x + 1\()^1^0\) * (tan(x))² * sec²(x).
To find the derivative of the given function g(x), we can apply the product rule and the chain rule. Let's break down the function into its constituent parts: f(x) = (x² - x + 1\()^1^0\) and h(x) = (tan(x))³.
Using the product rule, the derivative of g(x) can be calculated as g'(x) = f'(x) * h(x) + f(x) * h'(x).
First, let's find f'(x). We have f(x) = (x² - x + 1\()^1^0\), which is a composite function. Applying the chain rule, f'(x) = 10(x² - x + 1\()^9\) * (2x - 1).
Next, let's determine h'(x). We have h(x) = (tan(x))³. Applying the chain rule, h'(x) = 3(tan(x))² * sec²(x).
Now, we substitute these derivatives back into the product rule formula:
g'(x) = f'(x) * h(x) + f(x) * h'(x)
= 10(x² - x + 1)² * (2x - 1) * (tan(x))³ + 3(x² - x + 1\()^1^0\)* (tan(x))² * sec²(x).
In summary, the derivative of the function g(x) = (x² - x + 1\()^1^0\) * (tan(x))³ is g'(x) = 10(x² - x + 1)⁹ * (2x - 1) * (tan(x))³ + 3(x² - x + 1\()^1^0\) * (tan(x))² * sec²(x).
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−7x−50≤−1 and −6x+70>−2
The quotient of a number and two is increased by seven. The result is eleven. What is the number?
Answer:
2.
Step-by-step explanation:
Let the number be x.
2x+7 = 11
2x = 11-7
x = 4/2
x = 2
Hope this helped!
Olivia purchases gifts for her mom and grandma for Mother’s Day the first pair as a pair of sunglasses for $16.35 and the second is a bracelet your total is 39 and $.75 how much did she spend on the bracelet
Olivia purchases gifts for her mom and grandma for Mother's Day. The linear equations in first is a pair of sunglasses for $16.35 and the second is a bracelet. Her total spend $39.75.
She spend $23.4 on the bracelet.Given that
Olivia purchases gifts for her mom and grandma for Mother’s Day.The linear equations first is a pair of sunglasses for $16.35 and the second is a bracelet.She used total $39.75 for gifts.o find
How much did she spend on the bracelet?So, according to the question
We have
Total amount spend by her = $39.75.The amount of the pair of sunglasses = $16.35.So, we can say that
The amount of bracelet = Total amount spend by her - The amount of the pair of sunglassesNow, putting the all given values,
So, we get
= $(39.75 - 16.35)
The amount of bracelet = $ 23.4
She spend $ 23.4 on bracelet for Mother’s Day.
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