help me plox 20 points
if they were rounded to the tens place
18 would round to 20
16 would round to 20
17 would round to 20
14 would round to 10
so April would be different.
If the inflation rate increases faster than their income, people will most likely:
A. use a higher proportion of their incomes on basic needs
B. spend a lower proportion of their incomes on basic needs
C. get more goods and services for less money
D. obtain less goods and services for less money
If the inflation rate increases faster than their income, people will most likely use a higher proportion of their incomes on basic needs
What is inflation rate?Inflation is the rate of increase in prices over a given period of time. Inflation is typically a broad measure, such as the overall increase in prices or the increase in the cost of living in a country.
According to the question
If the inflation rate increases faster than their income, people will most likely:
As
inflation rate increases means increase in prices of goods and services over a given period of time.
i.e
People will use a higher proportion of their incomes on basic needs .
Hence, If the inflation rate increases faster than their income, people will most likely use a higher proportion of their incomes on basic needs.
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Is the coordinate (1, 2) a solution of the system below?
x + 2y = 5
y = x + 1
A. Yes
B. No
Use the table to determine the appropriate model of the function, x 1 2 3 4 5 f(x) 15 12 9 6 3 linear quadratic cubic exponential
The appropriate model of the function is:
Linear model
Step-by-step explanation:We are given a table of values as:
x f(x)
1 15
2 12
3 9
4 6
5 3
Clearly we could observe that with each increasing value of x the value of function decreases by 3.
This means that the range of change is constant.
Hence, the relation is linear ( as the rate of change is constant )
Also, the equation that models this data set is given by:
[tex]y=f(x)=18-3x[/tex]
A tree grows 1 3/4 feet per year. How long will it take the tree to grow from a height of 21 1/4 feet to a height of 37 feet?
Which expression is equivalent to (m^5n/pq^2)^4
Answer
Find the expression is equivalent to
[tex](\frac{m^{5}n}{pq^{2}})^{4}[/tex]
To prove
As the expression is given in the question as follow .
[tex]=(\frac{m^{5}n}{pq^{2}})^{4}[/tex]
By using the exponent properties of the raise a power to a power
[tex](x^{a})^{b} = x^{ab}[/tex]
than the above expression becomes
[tex]=\frac{(m^{5}n)^{4}}{(pq^{2})^{4}}\\ =\frac{(m^{5})^{4}n^{4}}{p^{4}(q^{2})^{4}}[/tex]
[tex]=\frac{m^{20}n^{4}}{p^{4}q^{8}}[/tex]
Thus the expression is equivalent to
[tex]=(\frac{m^{20}n^{4}}{p^{4}q^{8}})[/tex]
A 31-in. television has a 31 in. diagonal and a 18 in. width. what is the height of the 31-in. television?
Can someone simplify 2y-3x^2+6x^2-3y ?
How will the circumference of the circle change if it is dilated by a scale factor of 4?
The circumference will be 4 times greater than the original.
The circumference will be 16 times greater than the original.
The circumference will be 1/4 the original.
The circumference will be1/16 the original.
Answer:
The circumference will be [tex]4[/tex] times greater than the original
Step-by-step explanation:
we know that
The circumference of a circle is equal to
[tex]C=2\pi r[/tex]
where
r is the radius of the circle
In this problem we have
The radius of the original circle is
[tex]r1=16\ cm[/tex]
The circumference of the original circle is equal to
[tex]C1=2\pi (16)=32\pi\ cm[/tex]
If the circumference is dilated by a scale factor of [tex]4[/tex]
then
the radius of the dilated circle will be
[tex]r2=4*16=64\ cm[/tex]
and the circumference of the dilated circle will be
[tex]C2=2\pi (64)=128\pi\ cm[/tex]
so
[tex]C2=4C1[/tex]
therefore
The circumference will be [tex]4[/tex] times greater than the original
The length of a rectangle is 22 meters longer than the width. if the area is 2626 square meters, find the rectangle's dimensions. round to the nearest tenth of a meter.
What is the solution to the equation below? Log6 4x^2-log6x-2
The logarithmic equation is solved to find x to be equal to 9
How to solve the equation
To solve the equation, we can use logarithmic properties to simplify and solve for x
[tex]\(\log_6(4x^2) - \log_6(x) = 2\)[/tex]
[tex]log_6\left(\frac{4x^2}{x}\right) = 2[/tex]
[tex]log_6(4x) = 2[/tex]
6²= 4x
36 = 4x
x = 9
The solution to the equation [tex]\(\log_6(4x^2) - \log_6(x) = 2\) is \(x = 9\).[/tex]
To solve the equation [tex]\(\log_6(4x^2) - \log_6(x) = 2\)[/tex], you can use the properties of logarithms.
First, apply the quotient rule of logarithms to combine the two logarithms:
[tex]\[ \log_6\left(\frac{4x^2}{x}\right) = 2 \][/tex]
Simplify the expression inside the logarithm:
[tex]\[ \log_6(4x) = 2 \][/tex]
Now, rewrite this equation in exponential form:
[tex]\[ 6^2 = 4x \]\[ 36 = 4x \][/tex]
Now, solve for x:
[tex]\[ x = \frac{36}{4} \]\[ x = 9 \][/tex]
So, the solution to the equation [tex]\(\log_6(4x^2) - \log_6(x) = 2\) is \(x = 9\).[/tex]
please help me idk how to do this at all I've been stuck on it for awhile.
when numbers are in parenthesis the first number is x the second is y
(x,y)
sine they give you (2, blank)
2 = x so replace x in the equation with 2
so y=2x+5 becomes y=2(2)+5
so y = 2*2+5 = 9
y=9
so it should be (2,9)
how do you find the inverse of a 2x2 matrix
To find the inverse of a 2x2 matrix, calculate the determinant (ad-bc), then swap the diagonal elements, change the signs of the off-diagonal elements, and multiply each by the reciprocal of the determinant.
Explanation:To find the inverse of a 2x2 matrix, you must follow a specific procedure. Given a 2x2 matrix A:
\( A = \begin{bmatrix} a & b \\ c & d \end{bmatrix} \)
The inverse of matrix A, denoted as \( A^{-1} \), is calculated using the formula:
[tex]\( A^{-1} = \frac{1}{ad - bc} \begin{bmatrix} d & -b \\ -c & a \end{bmatrix} \)[/tex]
Here, \( ad - bc \) is called the determinant of matrix A. For the inverse to exist, the determinant must not be zero. To calculate the inverse, you compute the determinant \( (ad - bc) \), then swap the elements of the diagonal positions (a and d), change the signs of the off-diagonal elements (b and c), and then multiply each element by \( \frac{1}{ad - bc} \).
For example, if you have a matrix:
[tex]\( A = \begin{bmatrix} 4 & 7 \\ 2 & 6 \end{bmatrix} \)[/tex]
The determinant is [tex]\( 4\cdot6 - 7\cdot2 = 24 - 14 = 10 \).[/tex]
The inverse of A is:
[tex]\( A^{-1} = \frac{1}{10} \begin{bmatrix} 6 & -7 \\ -2 & 4 \end{bmatrix} = \begin{bmatrix} 0.6 & -0.7 \\ -0.2 & 0.4 \end{bmatrix} \)[/tex]
Need help on #30 and 31 thanks!!
Use the the factor theorem to determine wether the first polynomial is a factor of the second. X-3; 2x^2-4x+30
In the game of roulette, a player can place a $99 bet on the number 3333 and have a startfraction 1 over 38 endfraction 1 38 probability of winning. if the metal ball lands on 3333, the player gets to keep the $99 paid to play the game and the player is awarded an additional $315315. otherwise, the player is awarded nothing and the casino takes the player's $99. what is the expected value of the game to the player? if you played the game 1000 times, how much would you expect to lose? note that the expected value is the amount, on average, one would expect to gain or lose each game.
(02.01 LC)
Figure ABCD is transformed to figure A′B′C′D′:
Which angle in Figure A′B′C′D′ is equal to Angle CDA.?
Angle D prime A prime B prime.
Angle A prime B prime C prime.
Angle B prime C prime D prime.
Angle C prime D prime A prime.
Answer:
I think it is Angle B prime C prime D prime
Step-by-step explanation:
A'B'C'D' is a translation so they are congruent.So the figure B'C'D' is congruent or equal to BCD. Please let me know if i'm right
Larry travels 60 miles per hour going to a friend’s house and 50 miles per hour coming back, using the same road. he drove a total of 5 hours. what is the distance from larry’s house to his friend’s house, rounded to the nearest mile?
Final answer:
To find the distance from Larry's house to his friend's house, we use the relationship between distance, speed, and time for his trip to and from his friend's house, taking into account the different speeds and total travel time of 5 hours.
Explanation:
The student's question asks to find the distance from Larry's house to his friend's house given his speed and total travel time in both directions. To solve this problem, we use the formula distance = speed × time. Let's call the distance one way d, the time to travel to the friend's house t1, and the time to travel back t2. Larry's speed going to the friend's house is 60 miles per hour and coming back is 50 miles per hour. The total travel time is 5 hours.
So for the trip to the friend's house we have:
d = 60 × t1
And for the trip back:
d = 50 × t2
Since the total travel time is 5 hours:
t1 + t2 = 5
Substituting the expressions for d from the first two equations into the third, we get:
60t1 + 50t2 = 60(5)
Using the fact that t1 + t2 = 5, we solve for either variable, say t1, which gives us t2 as well. After finding t1 and t2, we plug either of those back into the original distance equations to find d, which will be the distance from Larry's house to his friend's house. The answer should be rounded to the nearest mile.
Which expression will produce an answer with the fewest significant figures?
a.15.4 - 8.1
b.54.5 30.7
c.4350 - 2210
d.18.8 - 6.5?
You and six friends play a game where each person writes down his or her name on a scrap of paper, and the names are randomly distributed back to each person. Find the probability that everyone gets back his or her own name.
Answer with explanation:
Total number of different candidates who are playing the game=7
Suppose, Seven candidates are represented by ={A,B,C,D,E,F,G}
Total Possible Outcome =7
→Probability that , "A" gets his scrap of paper , means the paper on which he or she has written his or her name
[tex]=\frac{\text{total favorable outcome}}{\text{total favorable outcome}}\\\\=\frac{1}{7}[/tex]
→Now, 6 candidates are left.
Probability that , "B" gets his scrap of paper , means the paper on which he or she has written his or her name
[tex]=\frac{\text{total favorable outcome}}{\text{total favorable outcome}}\\\\=\frac{1}{6}[/tex]
→Now, 5, candidates are left.
Probability that , "C" gets his scrap of paper , means the paper on which he or she has written his or her name
[tex]=\frac{\text{total favorable outcome}}{\text{total favorable outcome}}\\\\=\frac{1}{5}[/tex]
→Now, 4 candidates are left.
Probability that , "D" gets his scrap of paper , means the paper on which he or she has written his or her name
[tex]=\frac{\text{total favorable outcome}}{\text{total favorable outcome}}\\\\=\frac{1}{4}[/tex]
→Now, 3 candidates are left.
Probability that , "E" gets his scrap of paper , means the paper on which he or she has written his or her name
[tex]=\frac{\text{total favorable outcome}}{\text{total favorable outcome}}\\\\=\frac{1}{3}[/tex]
→Now, 2 candidates are left.
Probability that , "F" gets his scrap of paper , means the paper on which he or she has written his or her name
[tex]=\frac{\text{total favorable outcome}}{\text{total favorable outcome}}\\\\=\frac{1}{2}[/tex]
→Now, a single candidates is left.
Probability that , "G" gets his scrap of paper , means the paper on which he or she has written his or her name
[tex]=\frac{\text{total favorable outcome}}{\text{total favorable outcome}}\\\\=\frac{1}{1}=1[/tex]
Required Probability
[tex]=\frac{1}{7} \times\frac{1}{6} \times\frac{1}{5} \times\frac{1}{4} \times\frac{1}{3} \times\frac{1}{2} \times 1\\\\=\frac{1}{5040}[/tex]
What is the factorization of 2x²+4x+2
A. (2x+2)(x+2)
B. (2x+1)(x+2)
C. (2x+1)(x+1)
D. (2x+2)(x+1)
You are 9 miles away from home. You start biking home at a speed of 6 miles per hour.
a. write an equation. in standard form that represents your distance from home y after x hours.
b. find the y-intercept of the graph. what does this represent?
c. find the x-intercept of the graph. what does this represent?
The distance and speed are illustrations of linear equations
The standard form is [tex]\mathbf{6x + y = 9}[/tex]The y-intercept is 9The x-intercept is 1.5The given parameters are:
[tex]\mathbf{Rate = 6}[/tex]
[tex]\mathbf{Initial = 9}[/tex]
(a) The standard equation
Because the distance reduces with time, the equation is:
[tex]\mathbf{y = Initial-Rate \times x}[/tex]
This gives
[tex]\mathbf{y = 9 - 6\times x}[/tex]
[tex]\mathbf{y = 9 - 6x}[/tex]
Add 6x to both sides
[tex]\mathbf{6x + y = 9}[/tex]
(b) The y-intercept
This is the initial distance away from home.
So, the y-intercept is 9
(c) The x-intercept
Set y to 0, to calculate the x-intercept
[tex]\mathbf{6x + y = 9}[/tex]
[tex]\mathbf{6x + 0 = 9}[/tex]
[tex]\mathbf{6x = 9}[/tex]
Divide both sides by 6
[tex]\mathbf{x = 1.5}[/tex]
This is the initial time away from home.
So, the x-intercept is 1.5
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A sports recreation company plans to manufacture a beach ball with a surface area of 7238 in.2 find the radius of the beach ball. use the formula , where a is the surface area and r is the radius of the sphere. 576 in. 48 in. 75 in. 24 in.
The given problem supplies as with the surface area of the beach ball and we are to look for the required radius. Assuming that the beach ball is perfectly shaped in the form of a sphere, then the formula for calculating the surface area of a sphere is given as:
SA = 4 π r^2
where r is the radius of the sphere and SA is the surface area which is given to be 7238 in^2
Rewriting the formula in terms of r:
r^2 = SA / 4 π
r = sqrt (SA / 4 π)
Solving for r:
r = sqrt (7238 in^2 / 4 π)
r = 24 in
Answer:
24 inches
A quick-loan company charges an 18% fee on any loan that is paid up to one week late. A woman borrowed $400 and paid the loan back 3 days late. What is the total she has to pay, including any fee?
Use basic identities to simplify the expression. sin^2θ + tan^2θ + cos^2θ
An ice cream store sells 2 2 drinks, in 3 3 sizes, and 8 8 flavors. in how many ways can a customer order a drink?
If an ice cream store sells 2 drinks, in 3 sizes, and 8 flavors, the number of ways can a customer order a drink will be 48.
What are permutation and combination?A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.
It given that, An ice cream store sells 2 drinks, in 3 sizes, and 8 flavors.
We have to find the number of ways can a customer order a drink,
It is obtained by multiplying all the possible cases for that event, Multiplication is one type of arithmetic operation. There are basically four types of arithmetic operations.
=2×3×8
=48
Thus, if an ice cream store sells 2 drinks, in 3 sizes, and 8 flavors, the number of ways can a customer order a drink will be 48.
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A ball is thrown from a height of 140 feet with an initial downward velocity of 8 ft/s. The ball's height h (in feet) after t seconds is given by the following.
h=140-8t-16t^2
How long after the ball is thrown does it hit the ground?
Round your answer(s) to the nearest hundredth.
(If there is more than one answer, use the "or" button.)
The time would be 2.71 seconds after the ball is thrown does it hit the ground.
What is the velocity?Velocity is defined as the displacement of the object in a given amount of time and is referred to as velocity.
A ball is thrown from a height of 140 feet with an initial downward velocity of 8 ft/s.
The ball's height h (in feet) after t seconds is given by the following.
⇒ h = 140-8t - 16t²
h = 0 at the ground.
We divide both sides of the equation by (-8) to yield:
⇒ 0 = 2t² + t - 17.5
where a = 2, b= 1, c = -17
[tex]t = \dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\t = \dfrac{-1\pm\sqrt{2^2-4\times2\times-17.5}}{2\times2}[/tex]
t = [-1 ± √141] / (4)
t = 2.71 and -3.21
For this problem, time can only be positive, so ignore the negative solution.
Therefore, the time would be 2.71 seconds after the ball is thrown does it hit the ground.
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Students were surveyed about their preference between dogs and cats. The following two-way table displays data for the sample of students who responded to the survey.
Approximately what percent of students in the sample were male?
Round your answer to the nearest percent.
%
Preference Male Female TOTAL
Prefers dogs 36 20 56
Prefers cats 10 26 36
No preference 2 6 8
TOTAL 48 52 100
To find the percentage of students in the sample who were male, divide the total number of male students by the total number of students and multiply by 100.
Explanation:To find the percentage of students in the sample who were male, we need to look at the total number of male students and divide it by the total number of students in the sample. From the given two-way table, we can see that the total number of male students is 48. The total number of students in the sample is 100. To find the percentage, we can divide 48 by 100 and multiply by 100 to get:
Percentage of male students = (48/100) * 100 = 48%
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Answer:
36%
Step-by-step explanation:
Probability theory predicts that there is a 22.4% chance of a particular soccer player making four penalty shots in a row. If the soccer player taking four penalty shots is simulated 2500 times, in about how many of the simulations would you expect at least one missed shot?
1940 ~~~~~~~~~~~~ APEX
Given the functions f(x) = 3x2, g(x) = x2 − 4x + 5, and h(x) = –2x2 + 4x + 1, rank them from least to greatest based on their axis of symmetry. f(x), g(x), h(x) f(x), h(x), g(x) g(x), h(x), f(x) g(x), f(x), h(x)
Answer:
f(x), h(x), g(x)