I can’t help because I can’t see the coordinate plane.
8 of 8
A vase with a circular base exerts a force of 15 N on a table with a pressure of 750 N/m2.
Find the radius of the base of the vase in cm to 2 dp.
The radius of the circular vase is 6.37 * 10^-3 m.
What is pressure?The term pressure is defined as the ratio of force to area. Hence we can write;
P = F/A
F = 15 N
P = 750 N/m2
A = F/P
A = 15 N/750 N/m2
A = 0.02 m^2
Now;
A = πr^2
r = √A/ π
r = √ 0.02/3.142
r = 6.37 * 10^-3 m
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A sample of 311 people is selected. The people are classified according to place of residence ("urban", "suburban", or "rural"). They are also classified according to highest educational degree earned ("no college degree", "two-year degree", "four-year degree", or "advanced degree"). The results are given in the contingency table below. Urban Suburban Rural No college degree Two-year degree Four-year degree 34 42 22 35 21 22 16 34 16 Advanced degree 23 23 23 What is the relative frequency of people in the sample whose place of residence is suburban and whose highest degree is a two-year degree? Round your answer to two decimal places.
Answer: 0.07
Step-by-step explanation:
To find the relative frequency of people in the sample whose place of residence is suburban and whose highest degree is a two-year degree, we need to calculate the ratio of the number of people with those characteristics to the total sample size.
Looking at the contingency table, we can see that the number of people in the suburban category with a two-year degree is 21.
The total sample size is given as 311.
Therefore, the relative frequency can be calculated as:
Relative frequency = (Number of people in suburban category with two-year degree) / (Total sample size)
= 21 / 311
≈ 0.0676
Rounded to two decimal places, the relative frequency is approximately 0.07.
find the geometric of 5,8,9,12,15
Answer:
mom this u?
Step-by-step explanation:
f(x) = 2 - 4x
Solve for x when f(x) = 20
Answer:
x = -4.5
Step-by-step explanation:
\(20 = 2 - 4x\)
\(18 = - 4x\)
\( - 4.5 = x\)
If f(x) = 2x² + 1 and g(x) = x² - 7, find (f - g)(x)
Step-by-step explanation:
please mark me as brainlest
The composition of functions is solved and ( f - g ) ( x ) = x² + 8
What is Composition of functions?Evaluation of a function at the value of another function is known as Composition of function. A function composition is a process in which two functions, f and g, form a new function, h, in such a way that h(x) = g(f(x)). This signifies that function g is being applied to the function x. So, in essence, a function is applied to the output of another function.
Given data ,
Let the first function be represented as f ( x )
Now , the value of f ( x ) is
f ( x ) = 2x² + 1
Let the second function be represented as g ( x )
Now , the value of g ( x ) is
g ( x ) = x² - 7
( f - g ) ( x ) = f ( x ) - g ( x )
On simplifying , we get
( f - g ) ( x ) = 2x² + 1 - ( x² - 7 )
( f - g ) ( x ) = x² + 8
Hence , the function is ( f - g ) ( x ) = x² + 8
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NEED ANSWERS ASAP WE NEED IT TOMORROW GRADE SIX MATH
1.What is the difference when ⅓ is subtracted from ¾?
2.The sum of ³/⁷ and ½ is equal to? ___
3.The difference between ⅘ and ¼ is ___
4. The sum of 2¼ and 1³/²⁴ subtracted by 1¾ is ______
The data shows the number of miles Troy ran last week. 12, 5, 8, 4, 10, 4, 6 What is the median number of miles Troy ran?
Answer:6
Step-by-step explanation:
4,4,5,6,8,10,12
You start marking out 4&12,4&10,5&8 which leaves you with 6
50 POINTSSS!!!!!! PLS HURRRYYYYY!!!!!!! A set of data includes 98 data points ranging from 0 – 160. If the data is split into classes with a range of 10 (1 – 10, 11 – 20, etc), and there are no values that fall in the class 81 – 90, what can you say about the data?
1 The mean of the data will not be between 81 – 90.
2 All the data lies below 80.
3 The relative frequency of the class 81 – 90 is 0.
4 The median could be in the range 81 – 90
Answer:
3
Step-by-step explanation:
Penny makes 5 liters of applesauce. She saves 0.17 liter for dinner and puts the rest in jars. If each jar holds 0.69 liter, how many jars can she fill?
Answer:
8 jars
Step-by-step explanation:
Which expression represents the phrase " the difference of 18 and 12"?
Given:
The statement is "the difference of 18 and 12".
To find:
The expression for the given statement.
Solution:
We have,
Given statement = The difference of 18 and 12.
We use subtraction, to find the different between two numbers and subtraction is represented by negative sign. So, we need to subtract second number form the first number.
The difference of 18 and 12 = 18 - 12
Therefore, the required expression for the given statement is 18-12.
Simplify the expression StartFraction a b Superscript 3 Baseline over a Superscript 4 Baseline b EndFraction plus left-parenthesis c Superscript 2 Baseline right-parenthesis Superscript 3 Baseline
The simplification of the expression ab³/a⁴b + (c²)³ is determined as b²/a³ + c⁶.
What is the simplification of the expression?The given expression is simplified as follows;
The given expression is written as;
ab³/a⁴b + (c²)³
To simplify the expression given above, we will divide the fraction with the common factor as follows;
From the numerator; ab³, we will factor out "ab"
From denominator; a⁴b, we will factor out "ab"
The resulting expression becomes;
ab³/a⁴b + (c²)³
= b²/a³ + c⁶
Note: for the power of c, we simplify by multiplying 2 and 3 = 6
Thus, the simplification of the expression ab³/a⁴b + (c²)³ is determined as b²/a³ + c⁶.
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Janet received a raise in her hourly pay, from $17.25 to $20.35. Find the percent change.
Round your answer to the nearest tenth of a percent.Show your steps.
Answer:
18%
Step-by-step explanation:
20.35-17.25=3.1
3.1/17.25=0.1797
0.1797x100=17.97
rounded to the nearest 10th
Raina picks 20 flowers
1/4 are roses 2/5
are daisies
How many flowes are lilies?
Answer:
7 of the flowers were lilies.
Step-by-step explanation:
8 daises and 5 roses were picked. 8 + 5 = 13 20 - 13 = 7
7 of the flowers were lilies
What are the center and the radius of the circle x2−2x+y2=0?A)The center is (1, 0), and the radius is 1.B) The center is (2, 0), and the radius is 2.C)The radius is 0, so the equation cannot represent a circle.D) The radius is negative, so the equation cannot represent a circle.
We want to know the center and the radius of the circle:
\(x^2-2x+y^2=0\)We remember that the equation of a circle is given by:
\((x-h)^2+(y-k)^2=r^2\)In this case, we complete the square by adding 1 and substracting 1:
\(\begin{gathered} x^2-2x+1+y^2-1=0 \\ x^2-2x+1+y^2=1 \\ \text{Factoring the first three terms, we obtain:} \\ (x-1)^2+y^2=1 \end{gathered}\)This means that the center is the point (1,0), and:
\(\text{Radius: }\sqrt[]{1}=1\)Find the measure of the largest angle
15x
24x
21x
Answer:
15€9 44090 4 lt pi jtnteu
Step-by-step explanation:
Nugyt merhaba Seher vakti geldi artık bu kadar güzel bir haber var 6sınıf merhaba hocam ben Sude ödevim tamam 44482644444 bir
Jenn can rake the yard in 4.75 hours. Kathy can do the raking job in 7 hours. How long will it both girls working together?
Answer:
4.75 hour
Step-by-step explanation:
a triangular field has boundaries of lengths 170m,195m and 210m,find the size of the largest interior angle of the field
The size of the largest interior angle of the field is 69.86°
What is cosine law?The law of cosines relates the lengths of the sides of a triangle to the cosine of one of its angles.
Given that, a triangular field has boundaries of lengths 170m, 195m and 210m, we need to find the size of the largest interior angle of the field,
We know that, angle opposite to the largest side is largest,
Therefore,
The largest angle is opposite is 210 m side, (say c)
Using the cosine rule,
210² = 170²+195²-2(170)(195)cosC
CosC = 170²+195²-210² / 2(170)(195)
CosC = 22825 / 66300
CosC = 0.344268477
C = 69.86°
Hence, the size of the largest interior angle of the field is 69.86°
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Help I need help with this now
The volume of the rectangular prism is 90 units³
We have,
The figure shown has the dimensions:
L = Length = 5 units
W = Width = 6 units
H = Height = 3 units
Now,
The volume of the rectangular prism.
= L x W x H
= 5 x 6 x 3
= 90 units³
Thus,
The volume of the rectangular prism is 90 units³
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Determine the domain of the following log function algebraically. f(x) = log5 (2x-1)
ANSWER:
\((\frac{1}{2},\infty)\)
EXPLANATION:
Remember that any logarithm is capable of recieveng numbers that are greater than zero. This way, we'll have the restriction:
\(2x-1>0\)Solving for x,
\(\begin{gathered} 2x-1>0 \\ \rightarrow2x>1 \\ \\ \Rightarrow x>\frac{1}{2} \end{gathered}\)This way, the domain is:
\((\frac{1}{2},\infty)\)
Given the circle below with secants JKL and NML, find the length of JK. Round to the nearest tenth if necessary.
Using the Intersecting secants theorem, the length of JK in the given diagram is 17
Intersecting secants theorem: Calculating the length of of JKFrom the question, we are to determine the length of JK in the given diagram.
The diagram shows a circle with intersecting secants.
From the Intersecting secants theorem which states that "if two secant segments are drawn to a circle from an exterior point, then the product of the measures of one secant segment and its external secant segment is equal to the product of the measures of the other secant segment and its external secant segment".
Then,
We can write that
JK × KL = NM × ML
From the given diagram,
KL = 14
NM = 14
ML = 17
Substituting the values
JK × 14 = 14 × 17
JK = (14 × 17) / 14
JK = 17
Hence, the length of JK is 17
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El mayor es Novecientos mil cuatrocientos ochenta y nueve , y cuarenta mil dos
El número "Novecientos mil cuatrocientos ochenta y nueve" se representa como 900,489 en notación numérica.
Por otro lado, el número "cuarenta mil dos" se representa como 40,002.
Si estamos buscando determinar cuál de estos dos números es mayor, podemos comparar las cifras en cada posición.
Comenzando desde la izquierda, el primer dígito de 900,489 es 9, mientras que el primer dígito de 40,002 es 4.
Dado que 9 es mayor que 4, podemos concluir que 900,489 es mayor que 40,002.
En general, al comparar números, se debe observar cada posición en orden de mayor a menor importancia.
Esto significa que el primer dígito a la izquierda es el más significativo y tiene más peso en el valor total del número.
Si los dígitos en la posición más significativa son iguales, se debe pasar a la siguiente posición hasta que se encuentre una diferencia.
En este caso, dado que el primer dígito de 900,489 es mayor que el primer dígito de 40,002, no es necesario comparar los dígitos en posiciones posteriores.
Por lo tanto, podemos concluir que el número "Novecientos mil cuatrocientos ochenta y nueve" (900,489) es mayor que "cuarenta mil dos" (40,002).
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the following function should swap the values contained in two integer variables, nami and num2. what, if any void swap (int nomi, int num2) int temp
Yes, there is something wrong with the function.
Here, two integer variables, num1, and num2 are taken by this function as arguments. Then it assigns the value of num1 to a newly declared integer variable, temp. It then assigns the value of temp to num2, and the value of num2 to num1, thus swapping the values of the two variables effectively.
Here, the problem with the function is that the function operates on copies of the original variables rather than the variables themselves.
The variables num1 and num2 are passed by value, which means that to swap the values of the original variables, the function should use pointers or pass the variables by reference.
For example
void swap (int* num1, int* num2) {
int temp = *num1;
*num1 = *num2;
*num2 = temp;
}
Here, the function to modify the original variables directly as the variables num1 and num2 are passed as pointers.
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Complete Question
The following function should swap the values contained in two integer variables, num1, and num2. What, if anything, is wrong with this function?
void swap(int num1, int num2)
{
int temp = num2;
num2 = num1;
num1 = temp;
}
4. 2000 tickets were sold to a car show on Saturday. The cost of a ticket for an adult is $4 and the
cost for a child is $2. The total amount of money collected was $6400. Find the number of adult
tickets and child tickets sold.
A figure with vertical line symmetry is placed on the coordinate plane. Given that the points (–8, –4) and (–3, –4) are on the edges of the figure, which of the following points lies on the line of symmetry?
Answer:
(-11/2; -4)
Step-by-step explanation:
The point that lies on the line is symmetry is the middle point of the segment
M(x) = (-8-3)/2 = -11/2
M(y) = -4
Answer:
(-11/2; -4)
Step-by-step explanation: The point that lies on the line is symmetry is the middle point of the segment
M(x) = (-8-3)/2 = -11/2
M(y) = -4
16% of the town's population are above the age of 65. If there are 320 residents are over the age of 65, approximately what is the town's total population?
Answer:
the total population is 2,000
Step-by-step explanation:
so if we double 16 we get 32% and we have 640 residents then we ad 8% which gets us to an even number of 40% and therefor we add half the 16% to our 640 to get 800 and this is sounding complicated but stick with me. now that we have 40% of the population is 800 people then 80% is 1,600 then we add half or 20% and get 100% is 2,000 people
help with 6 please i need to graduate
The expression with the correct coefficients in each block is given as follows:
20x³ + 0x² - 7x.
How to obtain the resultant function?The functions in the context of this problem are defined as follows:
f(x) = 4x.g(x) = 5x² - 4.h(x) = 9x.The operation is given as follows:
f(x)g(x) + h(x).
Hence, to obtain the resultant function, we apply the definitions into the operation and the simplify, applying the distributive property and combining the like terms, as follows:
4x(5x² - 4) + 9x = 20x³ - 16x + 9x = 20x³ - 7x.
As there is no x² term, the coefficient of zero multiplies the term x².
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What is the meaning of "\( \varphi (x,y)\) be \( y\wedge \phi (x)\) "?
The reasoning presented lacks explicit explanations and logical connections between the steps, making it difficult to fully understand the intended proof strategy.
The given proof aims to show that the Separation Axioms can be derived from the Replacement Schema using a particular construction involving a formula p(x, y). Let's analyze the proof step by step:
Define the formula p(x, y) as x = yo(x).
This formula states that for each x, y pair, x is equal to the unique object y such that y is obtained by applying the operation o to x.
Define the set F as {(x, x) (x)}.
This set F contains pairs (x, x) where x is the unique object obtained by applying the operation (x) to x.
Claim: F(X) = {y (x = X)p(x, y)} = {y: (x = X)x = y^o(x)} = {x: (3x € X)o(x)} = {x X: (x)}.
This claim asserts that F(X) is equivalent to {y (x = X)p(x, y)}, which is further equivalent to {y: (x = X)x = y^o(x)}, and so on.
The proof states that since (x, y) satisfies the functional formula VaVyVz(p(x, y)^(x, z) y = z), it follows that (x, y) is a functional formula.This step emphasizes that the formula p(x, y) satisfies certain properties that make it a functional formula, which is relevant for the subsequent deductions.
Finally, the proof concludes that the Separation Axioms follow from the Replacement Schema, based on the previous steps.
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Which graph represents the following piecewise defined function?
The graph that represents the given piecewise function has a range of
R: (-∞, 0) ∪ (0,2] ∪ (4, ∞).
What is a piecewise function?A piecewise function is a combination of subfunctions that are defined with different intervals in the domain.
The range of the piecewise function is the union of all the ranges of the subfunctions.
Calculation:The given piecewise function is
g(x) = x², x < 0
= 1/2 x, 0 < x ≤ 4
= x, x > 4
The domain and range for the subfunctions in the given piecewise function are:
for g(x) = x²; Domain is {x < 0} and Range is (-∞, 0)
for g(x) = 1/2 x; Domain is {0 < x ≤ 4} and Range is (0, 2]
for g(x) = x; Domain is {x > 4} and Range is (4, ∞)
Then, the range of the given piecewise function is
Range: (-∞, 0) ∪ (0, 2] ∪ (4, ∞)
Thus, the graph shown in the question is the correct one.
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Answer: c, its da 3rd graph
Step-by-step explanation:
Find an equation of the line containing the given pair of points.
(−5,−5) and (4,4)
Answer:
y = x - 9
Step-by-step explanation:
\(Slope=\frac{y^{2}-y^{1} }{x^{2}-x^{1} }=\frac{4-(-5)}{4-(-5)}=\frac{9}{9}=1\)
\(y-intercept:y-y_{1}=m(x-x_{1} ) \\y-(-5)=1(x-4)\\y+5=x-4\\\)
Subtract 5 from both sides;
y = x - 9
(6.2 x 10²) x (3.5 x 10³)
Answer:
\(21.7 x 10^5\)
Step-by-step explanation:
(6.2 x 10²) x (3.5 x 10³)
First, multiply the coefficients: 6.2 x 3.5 = 21.7.
Then, add the exponents: 10² x 10³ = 10^(2+3) = 10^5.
Therefore, the result is 21.7 x 10^5.
Answer:
3286000
Step-by-step explanation: