The number of rest area will you pass between city A and city B is 3
A certain expressway has rest areas every 35 miles between cities.
The city A mile marker = 105 mile
Divide the terms
= The city A marker / 35
= 105 / 35
= 3
The 3rd marker is on 105 mile marker
The City B mile marker = 245
Divide the terms
= The city D marker / 245
= 245/35
= 7
The 7 the marker is on 245 mile marker
The intervals will be (3, 7)
Number of markers between 3 and 7 check points = 3
Hence, the number of rest area will you pass between city A and city B is 3
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Solve each matrix equation. If an equation cannot be solved, explain why.
[0 -4 0 -1] X = [0 4]
In order to solve a matrix equation, the number of columns in the left matrix should be equal to the number of rows in the right matrix.
Therefore, the given matrix equation cannot be solved.
To solve the matrix equation \([0 -4 0 -1] X = [0 4]\), we need to find the value of the matrix X.
First, let's identify the dimensions of the matrices. The left matrix has dimensions 1x4 and the right matrix has dimensions 1x2.
Since the number of columns in the left matrix is not equal to the number of rows in the right matrix, this equation cannot be solved.
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How instructional context can impact learning with educational technology: Lessons from a study with a digital learning game.
The instructional context can greatly impact learning with educational technology. In a study with a digital learning game, it was found that the instructional context influences student engagement and motivation. This, in turn, affects their learning outcomes.
The study examined the design of the game, the teacher's role, and the classroom environment. By optimizing these factors, the researchers found that students were more likely to be actively engaged and achieved better learning outcomes.
Therefore, the instructional context plays a crucial role in leveraging the potential of educational technology for effective learning.
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HELPPPP
What is the value of x for this question? show work pls im confused
Answer:
Step-by-step explanation:
In similar polygons, corresponding sides are in same proportion
\(\dfrac{GK}{VR}=\dfrac{KN}{RP}\\\\\\\dfrac{14.7}{6.3}=\dfrac{x+1}{4x-3}\\\\\dfrac{0.7*10}0.3*10}=\dfrac{x+1}{4x-3}\\\\\dfrac{7}{3}=\dfrac{x+1}{4x-3}\)
Cross multiply
7*(4x-3)=3*(x+1)
28x - 21 = 3x + 3
28x - 3x - 21 = 3
25x = 3 + 21
25x = 24
x = 24/25
x = 0.96
Scale factor = 7 : 3
Can someone help me figure out what is 5/12 of 1 ⅓ =
Answer:
Gotta multiply them
Step-by-step explanation:
Answer:
5/9
Step-by-step explanation:
Of is another word for multiplication in math.
This means that to solve this, we will do:
5/12 × 1 ⅓
Make them both improper fractions
5/12 × 4/3
Multiply there numerators and denominators
20/36 =
5/9
What is the solution for -3w-4=w+4
Answer:
uhh
Step-by-step explanation:
carrot?
Convert from standard to slope intercept form 3x -y= -1
Answer:
y= 3x + 1
Step-by-step explanation:solve for y
subtract 3x from the left which leaves -y= -3x -1
then you have to take flip the signs or divide by -1 so it comes out to y=3x + 1
Answer:
y = 3x + 1
Step-by-step explanation:
Slope Intercept form is written out as the following:
y = mx + b
In order to convert "3x - y = -1", we first subtract 3x from both sides, giving us:
-y = -3x - 1
Since we have "-y", we multiply -1 on both sides.
-1(-y) = -1(-3x - 1)
Multiplying two negatives makes a positive, hence when we multiply -1 on both sides, it becomes this:
y = 3x + 1
So converting to the Slope Intercept form ends up being "y = 3x + 1"
HELP MEE! PUT THE PERCENT, DECIMAL, AND FRACTION!
80 c, 80%, 80/100, .80
$1.20, 120%, 120/100, 1.2
$1.60, 160%, 160/100, 1.6
$1.28, 128%, 128/100, 1.28
Answer:
80c to $1.20: up 50% or x 1.5
$1.20 to 80c: down 33 1/3 % or x 0.6 bar over the 6
80c to $1.60: up 100% or x 2
$1.60 to 80c: down 50% or x 0.5
$1.60 to $1.28: down 20% or x 0.8
$1.28 to $1.60: up 25% or x 1.25
$1.28 to $1.20: down 6 1/4 % or x 0.9375
$1.20 to $1.28: up 6 2/3 % or x 1.06 bar over the 6
Which of the following is a pair of equivalent radical expressions?
A. 45−−√
and 315−−√
B. 75−−√
and 35–√
C. 54−−√
and 96–√
D. 180−−−√
and 320−−√
The pair of equivalent radical expression is option D. √180 and 3√20.
What are Radicals?Radicals are defined as the nth root of a number using the symbol \(\sqrt[n]{x}\).
This is the opposite form of the exponential functions.
\(\sqrt[n]{x}\) can be written in the exponential form as \(x^{1/n\).
A.√45 can be written as the square root of (15 × 3).
√45 = √(15 × 3) ≠ 3√15
B. √75 cannot be written as 3√5, since, if we have to take 3 outside, inside he root there must be 3² = 9. But 75 is not a multiple of 9.
C. √54 = √(9 × 6) = 3√6 ≠ 9√6
D. √180 = √(9 × 20) = √9 × √20 = 3√20
Hence the correct option is D.
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The clear question is given below.
Which of the following is a pair of equivalent radical expressions?
A. √45 and 3√15
B. √ 75 and 3√5
C. √54 and 9√6
D. √180 and 3√20
which function increases faster?
f(x) function increases faster.
From the question, we have
g(x) =5/2x-3
At x =0, g(x) = -3
At x =1, g(x) = -1
Hence, f(x) function increases faster.
Subtraction:
Subtraction represents the operation of removing objects from a collection. The minus sign signifies subtraction −. For example, there are nine oranges arranged as a stack (as shown in the above figure), out of which four oranges are transferred to a basket, then there will be 9 – 4 oranges left in the stack, i.e. five oranges. Therefore, the difference between 9 and 4 is 5, i.e., 9 − 4 = 5. Subtraction is not only applied to natural numbers but also can be incorporated for different types of numbers.
The letter "-" stands for subtraction. Minuend, subtrahend, and difference are the three numerical components that make up the subtraction operation. A minuend is the first number in a subtraction process and is the number from which we subtract another integer in a subtraction phrase.
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Unit measure in order from smallest to largest Pounds, kilograms, ounces, grams
The unit measures in order from smallest to largest are as follows: grams, ounces, pounds, kilograms.
The gram is the smallest unit of measurement, followed by the ounce, pound, and kilogram. One gram is equal to 0.035 ounces, while one kilogram is equal to 2.205 pounds. Understanding the relationships between these units can be helpful for converting measurements between them, which is often necessary in fields such as science and cooking.
Pounds and kilograms are both measures of weight or mass, with kilograms being the larger unit. One kilogram is equal to approximately 2.2 pounds.
Ounces and grams are also measures of weight or mass, but are smaller units. One ounce is equal to approximately 28.35 grams.
So if you were to list these units in order from smallest to largest, it would be: grams, ounces, pounds, kilograms.
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Which property is shown in the matrix addition below?
5
-1
0
5
-7
0.4
0
-7
0
0.4
+
+
+
6.2
-8.5
-9.9
6.2
-9.9
-8.5
12
0
2
12
0
2
inverse property
identity property
commutative property
associative property
Help please!
Answer:
associative property
The solution is, property is shown in the matrix addition below is
associative property.
Here, we have,
The property shown in the given matrix addition is associative property.
Let's define associative property first,
The Associative Property of Addition for Matrices states :
Let A , B and C be m×n matrices .
Then, (A+B)+C=A+(B+C) .
Associative Law of Addition of Matrix:
Matrix addition is associative. This says that, if A, B and C are Three matrices of the same order such that the matrices B + C, A + (B + C), A + B, (A + B) + C are defined then A + (B + C) = (A + B) + C.
Since P and Q are of the same order and pij = qij then, P = Q.
Here, from the given information,
we get, A , B and C be 4×1 matrices,
and, (A+B)+C=A+(B+C)
So, The solution is, property is shown in the matrix addition below is
associative property.
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If g(y) = 5y, then solve g(-10)
Answer:
-50
Step-by-step explanation:
g(y) = 5y
Let y= -10
g(-10) = 5*-10
= -50
Describe the transformation from the graph of f to the graph of h. Write an equation that represents h in terms of x. Look at image for example. Let’s do problem number 11f(x)=2(x-1)^2 + 1h(x) = f(x-5)
1) Note that we can see the following function:
\(f(x)=2\left(x-1\right)^2+1\)Note that we can see that this function f is vertically stretched, translated 1 unit to the side, and vertically shifted one unit
2) Now, let's visualize h(x):
\(\begin{gathered} h(x)=f(x-5)=2((x-5)-1))^2+1 \\ h(x)=2\left(x-6\right)^2+1 \end{gathered}\)Note that the difference between the graph of f and the graph of h(x) is h(x) is translated 5 units to the right.
So h(x) is horizontally translated 5 units to the right
Here is a grid of squares.write down the ratio of the number of unshaded to shaded squares
The ratio of the number of unshaded to shaded squares is 7 : 3.
What is Ratio?Ratio is defined as the relationship between two quantities where it tells how much one quantity is contained in the other.
It is also defined as the fraction of one quantity with respect to other.
The ratio of a and b is denoted as a : b.
Given is a grid of squares which is given below.
Total number of squares = 10
Of that,
Number of shaded squares = 3
Number of unshaded squares = 7
We have to find the ratio of unshaded to shaded squares in the grid which is 7 / 3 or 7 : 3.
Ratio of unshaded squares to shaded squares = 7 : 3
Hence 7 : 3 is the ratio of unshaded to shaded.
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A sample of bacteria taken from a river has an initial concentration of 2.1 million bacteria per milliliter and its concentration triples each week. (a) Find an exponential model that calculates the concentration after x weeks. (b) Estimate the concentration after 1.6 weeks. (a) B(x) = (Type an equation usingx as the variable.)
The exponential model that calculates the concentration of bacteria after x weeks can be represented by the equation B(x) = 2.1 million * (3^x), the concentration after 1.6 weeks would be approximately 14.87 million bacteria per milliliter.
This equation assumes that the concentration triples each week, starting from the initial concentration of 2.1 million bacteria per milliliter.
To estimate the concentration after 1.6 weeks, we can substitute x = 1.6 into the exponential model. B(1.6) = 2.1 million * (3^1.6) ≈ 14.87 million bacteria per milliliter. Therefore, after 1.6 weeks, the estimated concentration of bacteria in the river would be approximately 14.87 million bacteria per milliliter.
The exponential model B(x) = 2.1 million * (3^x) represents the concentration of bacteria after x weeks, where the concentration triples each week. By substituting x = 1.6 into the equation, we estimate that the concentration after 1.6 weeks would be approximately 14.87 million bacteria per milliliter.
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i need help with algebra need asap
Convert the following rectangular coordinate equation to an equation in cylindrical coordinates and an equation in spherical coordinates.
x2+y2+z2= 2z
In cylindrical coordinates, the equation is r² = 2z - z² and in spherical coordinates, the equation is ρ² = 2z.
Rectangular coordinates to Cylindrical coordinates and Spherical coordinates
Rectangular coordinates: x² + y² + z² = 2z
Cylindrical coordinates:
r² + z² = 2z.
r² = 2z - z²,
where r² + z² = 2z
Spherical coordinates: ρ² = x² + y² + z².
Therefore, ρ² = 2z.
In cylindrical coordinates, the equation is r² = 2z - z² and in spherical coordinates, the equation is ρ² = 2z.
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please help me answer this question asap
Answer:
It's quite easy
Step-by-step explanation:
people less than 30 years = frequency of people 0 to 15 + 15 to 30 = 8+15 =23
Therefore there are 23 people less than 30 years old.
pls mark me as brainliest pls.
suppose abby tracks her travel time to work for 60 days and determines that her mean travel time, in minutes, is 35.6. assume the travel times are normally distributed with a standard deviation of 10.3 minutes. determine the travel time x such that 17.36% of the 60 days have a travel time that is at least x
The travel time x is 41.162 min such that 17.36% of the 60 days have a travel time that is at least x.
We have to determine the travel time such that 17.36% of the 60 days have a travel time that is at least.
Total work days to work = 60 days
The travel mean time = 35.6
Standard deviation = 10.3
For normal distribution,
P(X < A) = P(Z < (A - mean)/standard deviation)
P(X > x) = 0.2946
P(X < x) = 1 - 0.2946 = 0.7054
P(Z < (x - 35.6)/10.3) = 0.7054
Take the z value that corresponds to 0.7054 in the table of the standard normal distribution.
(x - 35.6)/10.3 = 0.54
x = 41.162 min
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please help with the question asked
Answer:
C, None of the above
Step-by-step explanation:
Step 1: Expand the brackets
-7 - 3(-4e-3)
-7 + 12e + 9
Step 2: Collect like terms
12e + 2
Because the answer is not a or b the answer is 'None of the Above'
Hey there! I'm happy to help!
Let's use the distributive property to undo the parentheses. We multiply the number next to the parentheses by each number inside of the parentheses.
-7+3(-4e-3)
-7-12e-9
We combine like terms.
-16-12e
This means that Answer B is incorrect. Answer A could still be correct though as it could have equal value to -16-12e.
-4(3e+4)
We use distributive property.
-12e-16
We see that these have the same value, so the correct answer is A.
Have a wonderful day! :D
Chastity ran a hypothesis test with an alpha level of .01 and her test statistic fell outside of the critical region. what should she do?
The critical region is determined based on the alpha level, which is the probability of making a Type I error (rejecting the null hypothesis when it is true). An alpha level of .01 means that there is a 1% chance of making a Type I error.
If Chastity ran a hypothesis test with an alpha level of .01 and her test statistic fell outside of the critical region, it means that the test statistic does not provide enough evidence to reject the null hypothesis.
In this case, Chastity should fail to reject the null hypothesis and accept it as the plausible explanation. This implies that there is not enough evidence to support the alternative hypothesis.
When a test statistic falls outside of the critical region, it indicates that the observed data is not extreme enough to reject the null hypothesis. The critical region is determined based on the alpha level, which is the probability of making a Type I error (rejecting the null hypothesis when it is true). An alpha level of .01 means that there is a 1% chance of making a Type I error.
In summary, when Chastity's test statistic falls outside of the critical region, she should fail to reject the null hypothesis and accept it as the plausible explanation. This means that there is not enough evidence to support the alternative hypothesis at the given alpha level of .01.
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Which of these statements is true for f(x) = 4 . (7)*?
A. It is always decreasing.
B. The y-intercept is (0, 1).
C. The y intercept is (0, 4).
D. The domain of f(x) is x > 0.
Answer:
C. The y-intercept is (0, 4).
Step-by-step explanation:
The graph of f(x) = 4 is a straight line parallel to the x-axis passing through the point (0, 4).
Answer:C
Step-by-step explanation:
BIG BRAIN
in a mixture of 60 litres, the ratio of milk to water is 2:1. if this ratio is to be 1:2, then find the quantity of water to be further added.
Answer: 20 liters
Step-by-step explanation:
The mixture is 60 liters. The ratio is 2 : 1 (2 parts to one part)
60 ÷ (2 + 1) = one part
60 ÷ 3 = 20
Therefore, the ratio of 2 : 1 means 2(20) liters milk to 1(20) liters water
If we change it to a ratio of 1 : 2, then we have 1(20) liters milk to 2(20) liters water.
2:1 ratio has 20 liters water
1:2 ratio has 40 liters water
The amount of water added is 40 - 20 = 20 liters
Anyone please help me with this question
Answer:
12
Step-by-step explanation:
these are 2 similar triangles, as due to the construction we have 3 corresponding pairs of equal angles (the 47° angle is a given as equal, then due to the rules of crossing lines the inner angles as S must be equal as opposite angles, and that automatically makes the third angles equal, as the sum of all angles in a triangle must be always 180°).
in similar triangles the length ratio of corresponding sides is the same for all corresponding sides and lengths in these triangles.
so, we can use the sides opposite of the 47° angles to find that ratio :
21/9 = 7/3
and now also the sides 28 and x must have the same ratio :
28/x = 7/3
4/x = 1/3
12/x = 1
x = 12
In how many ways can we color the $8$ vertices of an octagon each red, green, or blue, so that no two adjacent vertices are the same color
There are 258 ways to color the octagon such that no two adjacent vertices are the same color
How to determine the number of ways?The given parameters are:
Sides, n = 8 --- the sides of an octagonColors, r = 3 i.e. red, green and blueSince no two adjacent vertices are the same color, we use the following chromatic polynomial of an octagon equation
Ways = (r - 1)⁸ + (r -1)
Substitute 3 for r
Ways = (3 - 1)⁸ + (3 -1)
Evaluate
Ways = 258
Hence, there are 258 ways to color the octagon
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given the function f(x)=x^2-8,find f(-2)
Answer:
using your function
Step-by-step explanation:
-4 is the answer
-2 squared is 4
subtract 8 from this
Answer:
f(2)=6
Step-by-step explanation:
f(2)=2^2+5(2)-8
f(2)=4+10-8
f(2)=14-8
f(2)=6
A certain breed of mouse was introduced onto a small island with an initial population of 340 mice, and scientists estimate that the mouse population is doubling every year.
(a) Find a function that models the number of mice m after t years.
(b) Estimate the mouse population after 6 years.
(a) The function that models the number of mice after t years is m(t) = 340 * 2^t.
(b) The estimated mouse population after 6 years is 21,760.
(a) To find a function that models the number of mice after t years, we can use the exponential growth formula, which is given by:
m(t) = m₀ * 2^t
Where:
m(t) represents the number of mice after t years.
m₀ is the initial population of mice.
In this case, the initial population of mice is 340, so the function that models the number of mice after t years would be:
m(t) = 340 * 2^t
(b) To estimate the mouse population after 6 years, we can substitute t = 6 into the function:
m(6) = 340 * 2^6
m(6) = 340 * 64
m(6) = 21,760
Therefore, the estimated mouse population after 6 years is 21,760.
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In a bag, there are oranges and bananas. If we give away 135 bananas, the percentage of fruits in the bag that are bananas will decrease from 60% to 15%. How many oranges are there in the bag
The number of oranges that are in the bag is 120.
How many oranges are in the bag?The equation that represents the initial amount of bananas in the bag is: bananas / total number of fruits = 0.60
bananas = 0.60t equation 1
The equation that represents the number of bananas in the bag after 135 was removed is:
(b - 135) / t = 0.15
b - 135 = 0.15t equation 2
Where :
b - total number of bananas t = total number of fruitsSubstitute for b in equation 2 using equation 1
0.6t - 135 = 0.15t
0.6t - 0.15t = 135
t = 135 / (0.6 - 0.15)
t = 300
The initial number of bananas : 0.6 x 300 = 180
Number of oranges = 300 - 180 = 120
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How many ways can five people, A, B, C, D, and E, sit in a row at a movie theater if A and B must sit together?
A) 48
B) 120
C) 12
D) 24
The answer is (A) 48.
Suppose A and B to be joined and viewed as a solitary individual. Thusly, we have four individuals, to be specific AB, C, D, and E, who can sit in a row in 4! ways.
Nevertheless, since A and B can trade places inside their gathering in two unique manners (AB or BA), the genuine number of approaches to arrange four individuals in a row is 4! x 2.
Subsequently, the complete number of ways for five individuals, including A and B, to sit in a row at a movie theater if A and B must sit together is 4! x 2 = 48.
Initially, there are 5! ways to order 5 people in a row. That would be 120 ways. Now, we have A and B which must sit together. So, imagine that they form one group or entity, and now we have four people instead of five in the row. There are four people, and they can be arranged in 4! ways that would be 24 ways.The group of A and B can sit in two ways AB or BA. So, by placing AB as one entity, we have just two entities (AB and the remaining 3 people in the row) which can be arranged in 2 * 4! ways that would be 48 ways.
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In a class of students, the following data table summarizes how many students play
an instrument or a sport. What is the probability that a student chosen randomly
from the class plays a sport?
Plays a sport
Does not play a sport
Plays an instrument Does not play an instrument
3
8
10
9
Answer:
3 OR 8 hope this helps!
Step-by-step explanation: