Answer:
Increase
Step-by-step explanation:
You start at 15 yards then proceed to MOVE UP(Increase) 3 more yards getting you to 18.
Answer:
increase
Step-by-step explanation:
because your going 3 more yards on a number line you would travel right
Please someone answer this ty! :)
Answer:373248
Step-by-step explanation:
Answer:
Step-by-step explanation:
12*6=72
72^3=373248
find a number of ways in which 4 algebra books, 5 geometry and 2 chemistry books can be placed on a shelf so that the arrangement begins and ends with a chemistry book
4 algebra books, 5 geometry and 2 chemistry books can be arranged in 5760 ways.
What is permutation?A permutation of a set is a loosely defined arrangement of its members into a sequence or linear order, or a rearrangement of its elements if the set is already ordered. The act or process of changing the linear order of an ordered set is also referred to as "permutation." A permutation is a specific arrangement of objects. Set members or elements are arranged in a sequence or linear order here. For example, the permutation of set A=1,6 is 2, as in 1,6,1. There are no other ways to arrange the elements of set A, as you can see.Given ,
4 algebra books , 5 geometry , 2 chemistry books,
The number of permutations =
2! x 5! x 4!
= (1 x 2) x (5 x 4 x 3 x 2) x (4 x 3 x 2)
= 2 x (120) x (24)
= 5760 ways.
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What is the value of the expression (−3.69)0?
_____
The value of the expression (-3.69)0 is zero as any number multiplied zero times is zero.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
The value of the expression (-3.69)0 is zero itself.
Anything multiplied by nothing is nothing right.
A numerical value is given which is -3.69 it is multiplied with zero, so a number multiplied zero times is obviously zero.
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You begin with $25 in a saving account and $50 in a checking account. Each week you deposit $5 into saving and $10 into checking. After how many weeks is the amount in checking twice the amount in saving?
Answer:
1 week
Step-by-step explanation:
After 1 week
Saving account: $25 + $5 = $30
Checking amount: $50 + $10 = $60
30 x 2 = 60
So it's 1 week
This is following statement, true or false
The lines aren't parallel since they intersect at point B.
Parallel lines never intersect.
Three-inch pieces are repeatedly cut from a 42-inch string. The length of the string after x cuts is given by y = 42-3x. Find and interpret the x- and y-intercepts. The x-intercept is 14 The y-intercept is 42 ✓ This means that after Select Choice cuts, the length of the string is Select Choice ✓ This means that the Select Select Select Choice Choice inches. inches.
1) The x-intercept lies at (1, 14), and the y-intercept lies at (3, 42).
2) This means that after 3 cuts, the length of the string is 33 inches.
3) Therefore, the 42-inch string can be cut into 14 pieces of 3 inches each.
What are the x- and y-intercepts?The x-intercept is the point on the graph where a line crosses the x-axis.
The y-intercept is the point on the graph where a line crosses the y-axis.
The x- and y-intercepts are the coordinate points for graphing data.
Thus, the x- and y-intercepts are coordinate points where the graph of a function or an equation touches the two axes.
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What is the effect on the graph of f (x) = |x| when the function is changed to g(x) =-2|x|
Here the graph shows reflection across x - axis by 2 units.
f(x) = |x| => g(x) = -2|x|.
Solution:Graph transformation is the process of modifying an existing graph or graphed equation to produce a variation of the following graph.The modification of algebraic equations is a common type of problem in algebra.Here given the parent function, f(x)=|x|
The translation is , g(x)= -2|x|
Which is an absolute function.
Here the transformation is .
f(x)=|x| => g(x)= -2|x|
The value of f(x) is reflecting over x- axis and value of y changes by 2 units.
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What's the midpoint of line segment (5,10) , and (-3,6)?
Answer:
(1; 8)
Step-by-step explanation:
x = (5 + (-3))/2 = 1
y = (10 + 6) = 8
Choose the number and type of roots of each quadratic function.
Function
f(x)=x²-9x + 21
f(x) = x² + 16x - 64
f(x) = -4x²-4x²10x +84
f(x) = 3x² + 24
The number and type of roots of each quadratic function are:
f(x) = x² - 9·x + 21, Has complex rootsf(x) = x² + 16·x - 64 has two real and distinct rootsf(x) = -4·x² + 10·x + 84 has two real and distinct rootsf(x) = 3·x² + 24 has complex rootsWhat determines the type of root that a quadratic function has?The type of roots of a quadratic function is given by the value of the discriminant, which is the value under the square root of the quadratic formula.
The types of roots of a quadratic equation are;
Two real and distinct rootsTwo real and equal rootsComplex rootsThe roots or solution to the quadratic equation, a·x² + b·x + c = 0, are given by the quadratic formula, [tex]x = \dfrac{-b\pm \sqrt{b^2 - 4\cdot a \cdot c} }{2\cdot a}[/tex]
Where:
b² - 4·a·c is known as the discriminant of the quadratic equation.
The type of root of a quadratic equation is given by the discriminant, b² - 4·a·c, as follows:
If the discriminant, b² - 4·a·c is less than 0, then the quadratic equation has no roots or no real rootsIf b² - 4·a·c = 0, then the quadratic equation has two real and equal roots (or one real root)If the discriminant, b² - 4·a·c > 0, then the quadratic equation has two real and distinct roots.The given functions are:
f(x) = x² - 9·x + 21Comparing the above equation to the, general form of a quadratic equation, f(x) = a·x² + b·x + c, we have;
a = 1, b = -9, and c = 21
The discriminant is therefore, (-9)² - 4 × 1 × 21 = -3 < 0
The quadratic equation therefore, has complex roots.
f(x) = x² + 16·x - 64The quadratic equation, f(x) = x² + 16·x - 64 has a discriminant given as follows;
The discriminant is: 16² - 4 × 1 × (-64) = 512 > 0, therefore, the quadratic equation two real roots, given by the equation;
[tex]x = \dfrac{-16\pm \sqrt{16^2 - 4\times 1 \times 64} }{2\times 1}= \dfrac{-16\pm \sqrt{512} }{2}= \dfrac{-16\pm 16\cdot \sqrt{2} }{2}[/tex]
x = -8 + 8·√2 or x = -8 - 8·√2
f(x) = -4x² + 10·x + 84The value of the discriminant is 10² - 4 × (-4) × 84 = 1444 > 0, therefore, the equation has two real and distinct roots, given by the equation;[tex]x = \dfrac{-10\pm \sqrt{1444} }{2\times (-4)}= \dfrac{-10\pm 38 }{-8}[/tex]
[tex]x = \dfrac{28 }{-8}= -3.5[/tex] and [tex]x = \dfrac{-48 }{-8}= 6[/tex]
f(x) = 3·x² + 24The discriminant of the above quadratic equation is; 0² - 4 × 3 ×24 = -288 < 0
Therefore, the quadratic equation, f(x) = 3·x² + 24, has no real roots or complex roots
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What’s 1+1 I need to know asap
Answer:
2
Step-by-step explanation:
convert 1 + the other one is 2
Answer:
2
Step-by-step explanation:
You add both numbers that have been given which are 1+1
Which of the following is a graph of a function
Please help as soon as possible!!!!!!
A given triangle has vertices at (-3, 1) (2, 4) and (5, -3). If the triangle were rotated 180 degrees counterclockwise, the new coordinates would be:
The new coordinates when we rotate the triangle counterclockwise is (3, -1), (-2, -4), (-5, 3).
Given,
The triangle with vertices;
(-3, 1) (2, 4) and (5, -3).
We have to find the new coordinates, when the triangle rotated 180 degrees counter clockwise;
Here,
The vertices;
(-3, 1) (2, 4) and (5, -3).
When we rotate 180 degree counter clockwise, the plane changes not the point.
That is,
(-3, 1) becomes (3, -1)
(2, 4) becomes (-2, -4)
(5, -3) becomes (-5, 3)
That is,
The new coordinates when we rotate the triangle counterclockwise is (3, -1), (-2, -4), (-5, 3).
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The new coordinates when we rotate the triangle counterclockwise is (3, -1), (-2, -4), (-5, 3).
Given,
The triangle with vertices;
(-3, 1) (2, 4) and (5, -3).
We have to find the new coordinates, when the triangle rotated 180 degrees counter clockwise;
Here,
The vertices;
(-3, 1) (2, 4) and (5, -3).
When we rotate 180 degree counter clockwise, the plane changes not the point.
That is,
(-3, 1) becomes (3, -1)
(2, 4) becomes (-2, -4)
(5, -3) becomes (-5, 3)
That is,
The new coordinates when we rotate the triangle counterclockwise is (3, -1), (-2, -4), (-5, 3).
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In Central city, there are 29,791 registered voters and 93 voting centers. Each voting centers serves about _____ of the city's population, what's the answer?
If in Central city, there are 29791 registered voters and 93 voting centers, then each voting centers serves about 320 of the city population.
Total number of registered voters in Central city = 29791 voters
Total number of voting centers = 93 voting centers
The number of population serves by each center = Total number of registered voters in Central city ÷ Total number of voting centers
Substitute the values in the equation
The number of population serves by each center = 29791/93
= 320.33
≈ 320
Hence, If in Central city, there are 29791 registered voters and 93 voting centers, then each voting centers serves about 320 of the city population.
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Determine if the table below is proportional?
The table represent a direct proportional relation.
How to determine if a table represents a proportional relation
In this question we find a table with four pairs of elements that have to be tested with respect to the direct proportional formula, which is defined below:
y = k · x
Where:
x - Independent variable.y - Dependent variable.k - Constant of proportionality.The table represents a direct proportional relation if and only if there is only one constant of proportionality:
k₁k₁ = 12 / 3
k₁ = 4
k₂k₂ = 20 / 5
k₂ = 4
k₃k₃ = 8 / 2
k₃ = 4
k₄k₄ = 32 / 8
k₄ = 4
As k₁ = k₂ = k₃ = k₄, the table represent a proportional relationship.
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Multiply and simplify completely ( 3x - 1 ) (3x + 1)
Answer:
9x^2-1
Step-by-step explanation:
Answer:
Step-by-step explanation:
Multiply (3x - 1) * (3x + 1)
= 9(x)^2 + 3x - 3x -1
= 9(x)^2 - 1
Write the equation in slope intercept form:2x+y=2
Answer:
y = - 2x + 2
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
given
2x + y = 2 ( subtract 2x from both sides )
y = - 2x + 2 ← in slope- intercept form
Complete the following statement. Round your answer to the nearest percent
% of $700 = $1,400
Answer:
50
Step-by-step explanation:
Solution for 700 is what percent of 1400:
700:1400*100 =
(700*100):1400 =
70000:1400 = 50
Now we have: 700 is what percent of 1400 = 50
8. Kyle went out to eat. His meal was
$18, not including tip. Once tip was
added he paid $21. What was the
percent of increase in the price he paid?
$3
the amount paid after adding tip is $21
the amount for the meal is $18
$21-$18=$3
Ms. lange drove about 150kms east from la sarre, to senneterre, quebec. she drove another 75kms north to lebel-sur-quevillon, what is the approximate air distance from la sarre to lebel-sur-quevillon
The approximate air distance from La Sarre to Lebel-sur-Quevillon is 167.71 km.
To determine the air distance from La Sarre to Lebel-sur-Quevillon, analyze the path she has traveled.
When she drove east and drove another north, the total path she ave traveled is similar to the sides of a right triangle, where the distance from the start and end point is the hypotenuse. (see photo attached)
Using Pythagorean theorem, solve the distance from La Sarre to Lebel-sur-Quevillon.
c² = a² + b²
where a = 150 km and b = 75 km
distance² = 150² + 75²
distance² = 22500 + 5625
distance² = 28125
distance = 167.71 km
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A rectangular garden has a length of 60 feet (ft), a width of w ft, and a perimeter of 200 ft.
Which of the following equations best models the garden's perimeter?
The width of the rectangular garden is 40feet. The equation that represents the garden's perimeter is 2(60 + w) = 200.
A rectangular garden has a length of 60 feet (ft)
a width of w ft
and a perimeter of 200 ft.
The formula of perimeter of a rectangle is 2(lenght + width)
The equation that represents the garden's perimeter is 2(60 + w) = 200
2(60 + w) = 200
120 + 2w = 200
2w = 200 - 120
2w = 80
w = 40
Therefore, width of the rectangular garden is 40feet. The equation that represents the garden's perimeter is 2(60 + w) = 200
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Determine the midpoint of segment Ed coordinates e and d are 2 and -2
Answer: Midpoint = 0
Explanation:
The midpoint of segment ED can be calculated as:
[tex]\text{Midpoint}=\frac{E+D}{2}[/tex]Where E and D are the coordinates of E and D respectively.
So, replacing E by 2 and D by -2, we get:
[tex]\text{MIdpoint}=\frac{2+(-2)}{2}=\frac{2-2}{2}=\frac{0}{2}=0[/tex]Therefore the midpoint of segment ED is equal to 0.
which of the following is not a step in a hypothesis test? a. state the null hypothesis about a population. b. set the alpha level. c. if the sample data is not located in the critical region, we accept the null hypothesis. d. if the sample data is located in the critical region, we reject the null hypothesis.
The following is not a step in a hypothesis test; d. if the sample data is located in the critical region, we reject the null hypothesis.
How to form the hypotheses?There are two hypotheses. The first one is called the null hypothesis and it is chosen such that it predicts nullity or no change in a thing. It is usually the hypothesis against which we do the test.
The hypothesis which substitutes the null hypothesis is an alternate hypothesis.
We know that the Null hypothesis is the one that researchers try to disprove.
The null hypothesis must be rejected if we choose the 99.7 percent of confidence level.
The following is not a step in a hypothesis test; d. if the sample data is located in the critical region, we reject the null hypothesis.
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Cual es el producto de 3x^5 y de 2x^4
Opciones:
1)5x^9
2)5x^20
3)6x^9
4)6x^20
A metal pole to hang banners and advertisements is attached to a brick
building to form a right angle. A diagonal brace is placed 5 feet below the
pole to give support. What is the length in feet of the pole?
13 ft
5 ft
The length in feet of the pole is 13 ft.
What is Pythagoras theorem?The right-angled triangle's relationship between its three sides is explained by the Pythagoras theorem, commonly known as the Pythagorean theorem. The square of a triangle's hypotenuse is equal to the sum of its other two sides' squares, according to the Pythagoras theorem. Let's learn more about the Pythagoras theorem, its proofs, and its equations before moving on to cases that have been solved using the triangle and square Pythagoras theorem. The hypotenuse's square is equal to the sum of the squares of the other two sides if a triangle has a straight angle (90 degrees), according to the Pythagoras theorem. Keep in mind that BC² = AB² + AC² in the triangle ABC signifies this.
Use the Pythagorean relationship:
c²= a² + b²
= 5² + 12²
= 25 + 144
= 169
c = 13
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The Kansas City Chiefs are trying to figure out if there is a relationship between the number of passes thrown by Quarterback Patrick Mahomes and the total passing yards earned in each game.
Using your graphing calculator, analyze their data and then answer the 2 questions below.
Passes Thrown, [39] [35] [35] [37] and [40
Total Passing Yards [360] [235] [262] [249] [338]
• What is the linear regression equation that represents this data? Round to the nearest whole number. (worth 2 points)
Using your equation, calculate the number of passing yards the Chiefs can expect if Mahomes throws 38 passes in a game. (worth 2 points)
Explain how you calculated your answer for the expected passing yards if 38 passes are thrown. (worth 2 points)
The linear regression equation that represents this data is given as follows: y = 22x - 518.
Using this equation, when 38 passes are thrown, the expected yardage is of 318 yards.
How to find the equation of linear regression?To find the regression equation, also called line of best fit or least squares regression equation, we need to insert the points (x,y) in the calculator. These points are given on a table or in a scatter plot in the problem.
In the context of this problem, the input and output are given as follows:
Input: number of passes thrown by Patrick Mahomes.Output: number of passing yards obtaining by Mahomes/KC.The points to be inserted in the calculator are given as follows:
(39, 360), (35, 235), (35, 262), (37, 249), (40, 338).
Hence the equation is given by:
y = 22x - 518.
With 38 passes, the expected yardage is calculated as follows:
y = 22(38) - 518 = 318 yards.
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Solve for y:
2x+4y=32
Answer:
Step-by-step explanation:
2x+4y=32
Get Y on one side of equation by itself
(subtract 2x on both sides)
leaves 4y = 32 - 2x
Divide by 4 to get Y alone (without coefficient)
4y = 32 - 2x
4
y = 8 - 1/2x
10 Km to 20 m convert into ratio
Answer:
10 : 0.02 (20m)
2) At age 22, Joseph places $4,500 in a retirement account with a fixed annual interest rate 7%,compounded continuously. He never places any additional money in the account. What will hisbalance be at age 55 ?
lets remember what it means compound continuously,
the interest never stopped, the balance is earning interest at all time
Joseph is 22 and he wants to know how much money he will have at 55
55-22=33
his balance will gain interest for 33 years, this is our time
there is a 7% rate
the formula is
P(t)= P(0) e ^rt
our t is 33
rate=7%
Joseph will have a balance at age 55, 45,334.99 dollars
suppose a batch of metal shafts produced in a manufacturing company have a standard deviation of 1.5 and a mean diameter of 205 inches. if 79 shafts are sampled at random from the batch, what is the probability that the mean diameter of the sample shafts would differ from the population mean by less than 0.3 inches? round your answer to four decimal places.
The probability that the mean diameter of the sample shafts would vary from the population mean by less than 0.3 inches exists 0.0757.
How to estimate population mean?Let X the random variable that represent the diameters of interest for this case, and for this case we know the following info
Where [tex]$\mu=205$[/tex] and [tex]$\sigma=1.5$[/tex]
Let the probability be
[tex]$P(205-0.3=204.7 < \bar{X} < 205+0.3=205.3)$$[/tex]
For this case they select a sample of n = 79 > 30, so then we have enough evidence to utilize the central limit theorem and the distribution for the sample mean can be approximated with:
[tex]$\bar{X} \sim N\left(\mu, \frac{\sigma}{\sqrt{n}}\right)$$[/tex]
To simplify this problem is utilizing the normal standard distribution and the z score given by:
[tex]$z=\frac{\bar{x}-\mu}{\frac{\sigma}{\sqrt{n}}}$$[/tex]
To find the z scores for each limit and we got:
[tex]$z=\frac{204.7-205}{\frac{1.5}{\sqrt{79}}}=-1.778$$[/tex]
[tex]$z=\frac{205.3-205}{\frac{1.5}{\sqrt{79}}}=1.778$$[/tex]
To find this probability:
P(-1.778 < Z < 1.778) = P(Z < 1.778) - P(Z < -1.778)
simplifying the above equation, we get
= 0.962 - 0.0377
= 0.9243
The interest exists the probability that the mean diameter of the sample shafts would vary from the population mean by more than 0.3 inches utilizing the complement rule we got:
P = 1 - 0.9243 = 0.0757
The probability that the mean diameter of the sample shafts would vary from the population mean by less than 0.3 inches exists 0.0757.
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suppose that the average price for a gallon of gasoline in the united states is 3.75 and in russia it is . assume these averages are the population means in the two countries and that the probability distributions are normally distributed with a standard deviation of in the united states and a standard deviation of in russia. a. what is the probability that a randomly selected gas station in the united states charges less than per gallon (to 4 decimals)? b. what percentage of the gas stations in russia charge less than per gallon (to 2 decimals)? c. what is the probability that a randomly selected gas station in russia charged more than the mean price in the united states (to 4 decimals)?
Using probability, we know that the left-tailed area exists at 17.87%.
What is meant by probability?A probability is a numerical representation of the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.So, now calculate as follows:
Let the critical value be x= $ 3.5Mean µ = $ 3.73Standard deviation σ = $ 0.25Using formula:
z = (x - µ) / σSubstitute the values in the above equation, and we obtain:
= (3.5-3.73) / 0.25Simplifying the equation, we will get:
= (-0.23) / 0.25= -0.92Finally, by using a table we calculate the left-tailed area:
P(z < -0.92) = 0.17878638 = 17.87 %Therefore, using probability, we know that the left-tailed area exists at 17.87%.
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Complete question:
The average price for a gallon of gasoline in the United States is $3.73 and in Russia, it is $3.40. Assume these averages are the population means in the two countries and that the standard deviation of $.25 in the United States and a standard deviation of $.20 in Russia. What is the probability that a randomly selected gas station in the United States charges less than $3.50 per gallon?
