Answer:
t = 23/32 + (i sqrt(623))/32 or t = 23/32 - (i sqrt(623))/32
Step-by-step explanation:
Solve for t:
16 t^2 - 23 t + 18 = 0
Divide both sides by 16:
t^2 - (23 t)/16 + 9/8 = 0
Subtract 9/8 from both sides:
t^2 - (23 t)/16 = -9/8
Add 529/1024 to both sides:
t^2 - (23 t)/16 + 529/1024 = -623/1024
Write the left hand side as a square:
(t - 23/32)^2 = -623/1024
Take the square root of both sides:
t - 23/32 = (i sqrt(623))/32 or t - 23/32 = -(i sqrt(623))/32
Add 23/32 to both sides:
t = 23/32 + (i sqrt(623))/32 or t - 23/32 = -(i sqrt(623))/32
Add 23/32 to both sides:
Answer: t = 23/32 + (i sqrt(623))/32 or t = 23/32 - (i sqrt(623))/32
Cypress Park has 3 identical square
sandboxes near the playground. Each
sandbox has a side that is 10 feet long. What
is the total area of all 3 square sandboxes?
Answer:
300 feet
Step-by-step explanation:
A square has 4 equal sides and the area of a square is length x length which is also the square of the length i.e 10²
So one of the square's area = 10 x 10
=100
So the three squares have a square of 100 +100+100
300² feet
Can someone help me with this question?
5/6 is the value of b.......
graph y ≤ 2 on a number line
graph x < -3 on a number line
In which number is the value of the digit 5 equal to 5,000?
A. 750,812
B. 463,593
C. 506,749
D. 165,832
Answer: C
Step-by-step explanation: is closer to 5000
Help please due tonight
Use the box-and-whisker plot.
A box and whisker plot. The whisker ranges from 5 to 50. The box ranges from 25 to 40 with the vertical bar inside the box at 35.
About what percent of the data fall between 5 and 35?
Enter your answer in the blank.
We know that 50% of the data falls between the minimum value and the median (i.e., between 5 and 35). So the answer is: 50%.
Describe Median?The median is a useful measure of central tendency in datasets that are skewed or have outliers, as it is less sensitive to extreme values than the mean. It is also useful in datasets with non-numeric values, such as rankings or survey responses. In addition to the median, other measures of central tendency include the mean and mode. Each measure has its own strengths and weaknesses, and the appropriate measure to use depends on the nature of the dataset and the research question being asked.
To answer this question, we need to determine the position of the lower whisker and the vertical bar relative to the range of the data.
The lower whisker extends to 5, which is the minimum value in the dataset. The vertical bar inside the box is located at 35, which represents the median of the dataset.
Therefore, we know that 50% of the data falls between the minimum value and the median (i.e., between 5 and 35).
So the answer is: 50%.
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After 3x - y = 7 is put in slope-intercept form, the slope, and intercept are:
m = 3, b = -7
m = -3, b = 7
m = -3, b = -7
m = 3, b = 7
By converting the equation 3x - y = 7 in the slope-intercept form, the slope, and the intercept will be (A) m = 3, b = -7.
What is the slope-intercept form?When you know the slope of the line to be investigated and the given point is also the y-intercept, you can utilize the slope-intercept formula, y = mx + b. (0, b).
The y value of the y-intercept point is denoted by the symbol b in the formula.
A line's slope and y-intercept are expressed in the following formula: y=mx+b.
The y-intercept, which is usually represented in coordinate form as (0,b), is the point where the line crosses the y-axis.
So, we have the equation:
3x - y = 7
After reading the above-given description about the slope-intercept form, we can tell that in the given equation:
m = 3, b = -7
Therefore, by converting the equation 3x - y = 7 in the slope-intercept form, the slope and the intercept will be (A) m = 3, b = -7.
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Complete question:
After 3x - y = 7 is put in slope-intercept form, the slope, and intercept are:
a m = 3, b = -7
b m = -3, b = 7
c m = -3, b = -7
d m = 3, b = 7
Need help solving this problem.
Option A is correct, 162 is the greatest number of caps she can buy.
What is Inequality?A relationship between two expressions or values that are not equal to each other is called 'inequality.
Let x be the number of caps.
We have been given that cost of one cap is $6, so cost of x caps will be equal to 6x.
We are also told that the company charges an amount of $25 for shipping, so total cost of buying x caps will be equal to the cost of x caps plus shipping charges (6x+25).
Since Laura has a budget of $1,000, so cost of x caps will be less than or equal to 1,000.
We can represent this information in an equation as:
6x+25≤1000
Let us solve for x
Subtract 25 from both sides
6x≤1000-25
6x≤975
Divide both sides by 6
x≤162.5
Hence, Option A is correct, 162 is the greatest number of caps she can buy.
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please help:)))))))))))))))))))))))))))))
Answer:
The volume of the ice cream scoop is less than the volume of the cone. So, when the ice cream melts, it will fit in the cone without overflowing.
A triangle has vertices x(2,1), y(5,4), z(5,1). What is the base and height of the triangle
Answer:
The base is XZ and the height is ZY.
The measure of base is: 3 Units
The measure of Height is: 3 Units
Step-by-step explanation:
The explaination is given in the pictures...
The angle between A = (25 m)i +(45 m)j, and the positive e axis is
Therefore, the angle between vector A and the positive e axis (which is the positive x-axis) is 60.255°.
To find the angle between vector A = (25 m)i + (45 m)j and the positive e axis, we first need to find the direction of vector A.
We can find the direction of vector A by taking the arctangent of the y-component over the x-component of the vector:
θ = tan⁻¹ (y/x)
where θ is the angle between the vector and the positive x-axis.
In this case, the y-component of vector A is 45 m and the x-component is 25 m:
θ = tan⁻¹ (45/25) = 60.255°
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What is the length of segment BC? A coordinate plane is shown. Point B is located at negative 3, negative 2, and point C is located at 0, 2. The points are connected by a line segment. Group of answer choices 5 7 6 4 Flag question: Question 3
Answer: 5
Step-by-step explanation:
Use the Formula d = √((x2 - x1)2 + (y2 - y1)2)
Find the difference between coordinates:
(x2 - x1) = (-3 - 0) = -3
(y2 - y1) = (-2 - 2) = -4
Square the results and sum them up:
(-3)2 + (-4)2 = 9 + 16 = 25
Now Find the square root and that's your result:
Exact solution: √25 = 5
Approximate solution: 5
Members of a lacrosse team raised $2412.50 to go to a tournament. They rented a bus for $1072.50 and budgeted $67 per player for meals. Determine the number of players the team can bring to the tournament.
The number of players the team can bring to the tournament is 20.
What is a linear equation?
An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation. A linear equation with one variable has the conventional form Ax + B = 0.
In this case, the variables x and A are variables, while B is a constant. A linear equation with two variables has the conventional form Ax + By = C.
Here, we have
Given: Members of a lacrosse team raised $2412.50 to go to a tournament. They rented a bus for $1072.50 and budgeted $67 per player for meals.
we have to determine the number of players the team can bring to the tournament.
So to make an equation, the bus charge would be the y-intercept (If no member went, they still paid for the bus fee) and the meals would be the slope (since it is dependent on how many members ride the bus.)
The total would add up to be 2412.50, so the equation would be:
2412.50 = 67x+1072.50
where x = the number of players the team can bring to the tournament without going outside of their budget.
After solving this, we get
2412.50 = 67x+1072.50
2412.50 - 1072.50 = 67x
1340 = 67x
x = 20
Hence, the number of players the team can bring to the tournament is 20.
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Another brand of sheets is on sale 30% off with a regular price of $18.00 per sheet. Which is a better deal, the previous example or this one? Explain.
The sale price per sheet in this example is $12.60.
What is the discount?
A discount is a reduction in the price of a product or service that is offered by a seller to a buyer. It is a form of incentive that is used to encourage customers to purchase goods or services, often by making them more affordable or attractive.
To compare the two deals, we need to calculate the sale price per sheet for each deal.
In the previous example, the sale price per sheet was $15.00 after a 20% discount off the regular price of $18.00.
In this example, the sale price per sheet is 30% off the regular price of $18.00, so we can calculate the sale price per sheet as:
Sale price per sheet = Regular price per sheet - Discount amount
Sale price per sheet = $18.00 - (30% x $18.00)
Sale price per sheet = $18.00 - $5.40
Sale price per sheet = $12.60
Comparing the two deals, we can see that the sale price per sheet in this example is lower than the sale price per sheet in the previous example. Therefore, the better deal is the 30% discount off the regular price of $18.00, which results in a sale price per sheet of $12.60.
Therefore, the sale price per sheet in this example is $12.60.
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The equation y equals 4 times 3 to the power of t shows the number of infected people from an outbreak of the measles. The variable y represents the number of infected people, and t represents time in weeks. In how many weeks will the number of infected people reach 600
Answer: 8.2 weeks.
Step-by-step explanation: If y = 4*3^t, then 600 = 4*3^t. Therefore, t = log3 (600/4), which is approximately 8.2 weeks.
Please help! I will give brainliest and 5 stars!!
Based on the information in the graph, we can infer that the length of Main St between 5th Ave. and 6th Ave. is 0.24km.
How to find the value of Main St between 5th Ave. and 6th Ave?To find the value of Main St. between 5th Ave. and 6th Ave we must perform the following mathematical procedure:
0.4 / x = 0.5 / 0.30.12 = 0.5 * xx = 0.24kmIn accordance with the above, what we did was a relationship between the fractions that represent the length of each street. In this case we had to clear the x that represented Main St. between 5th Ave. and 6th Ave.
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Select the correct answer. What is the standard form of this function? f(x) = (x − 2)2 + 6
The equation f(x) = (x - 2)² + 6 in the standard form will be f(x) = x² - 4x + 10.
What is function in math ?
An expression, rule, or law in mathematics that specifies the relationship between an independent variable and a dependent variable (the dependent variable).
Mathematics is rife with functions, and the sciences depend on them for constructing physical relationships.
The function is given below.
f(x) = (x - 2)² + 6
Convert the equation into a standard form. Then we have
f(x) = (x - 2)² + 6
f(x) = x² - 4x + 4 + 6
f(x) = x² - 4x + 10
The equation f(x) = (x - 2)² + 6 in the standard form will be f(x) = x² - 4x + 10.
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HELPPPP MEEEE
I NEED TO TURN IN THIS LATE MATH HOMEWORK
Answer:
I think is D
Step-by-step explanation:
because
R:622 and Y:410
Robert is tiling the bathroom floor. Each
square-shaped tile has an area of 120.5
square inches. Which measurement is
closest to the side length of a square tile
in inches?
A. 9 in.
B.11 in.
c. 13 in.
D. 15 in.
The measurement that, in inches, comes closest toward the length equal of a square tile is: 11 in.
Define the properties of the square?A square is a shape that we frequently encounter in our daily lives. Illustrations of square shapes that are frequently used include chess pieces, clock hands, picture frames, pizza boxes, coasters, computer keys, etc.
The square's four sides are equal to one another.A square's diagonals are parallel to one another.The square is split into 2 congruent triangles by each diagonal.Each diagonal in a square is the same length.In the bathroom, Robert is paving the floor.
The area of each square-shaped tile is 120.5 square inches.
Area = side²
side = √Area
side = √120.5
side = 10.97 in
side = 11 in (approx)
The measurement that, in inches, comes closest toward the length equal of a square tile is: 11 in.
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For the function
f
(
x
)
=
5
x
2
+
3
x
, evaluate and simplify.
f
(
x
+
h
)
-
f
(
x
)
h
=
In respοnse tο the query, we can state that Therefοre, the simplified equatiοn expressiοn fοr f(x+h) - f(x)/h is: 10x + 5h + 3
What is equatiοn?In a math equatiοn, twο assertiοns are cοnnected by the equals sign (=), which denοtes equivalence. A mathematical assertiοn used in algebraic equatiοns establishes the equivalence οf twο mathematical statements. Fοr instance, in the equatiοn 3x + 5 = 14, the equal sign creates a space between the values 3x + 5 and 14. Tο cοmprehend the relatiοnship between the twο sentences written οn οppοsing sides οf a letter, utilise a mathematical fοrmula. The lοgο and the specific prοgramme typically cοrrespοnd. An illustratiοn wοuld be 2x - 4 = 2.
functiοn f(x) intο the fοrmula fοr f(x+h) - f(x)/h, and then simplify the resulting expressiοn algebraically.
f (x + h) — f (x)
= [5(x + h)² + 3(x + 10] — [5x² + 3x]
= [5(x² + 2xh + h²) + 3x + 314 — [5x² + ax]
= [5x² + 10xh + 5k² + 3x + 3h] — [5x² + 3x]
= 10xh + 5h² + 3h f(x+h) - 1(x) h
= 10x + 5k + 3
Therefοre, the simplified expressiοn fοr f(x+h) - f(x)/h is:
10x + 5h + 3
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I need help please!!! It for geometry
Answer:
Below
Step-by-step explanation:
The diagonals WY and XZ are equal for a rectangle
14x+10 = 11x+ 22
3x = 12
x = 4
then use this value to calculate the length
WY = 14 x + 10
= 14 (4) + 10 = 66 units
Kailyn has 4 days to complete 100 mins in mindplay and wants to split the time evenly over those days . Which inequality can she use to decide at least how many minutes she must complete each day
The inequality Kailyn can use to ensure that she completes at least 25 minutes of Mindplay each day over 4 days to complete a total of 100 minutes is x ≥ 25.
What is inequality ?
An inequality is a mathematical statement that compares two values or expressions using an inequality symbol such as < (less than), > (greater than), ≤ (less than or equal to), or ≥ (greater than or equal to).
To split the 100 minutes evenly over 4 days, Kailyn would need to complete at least 25 minutes each day.
To express this mathematically as an inequality, you can use the greater than or equal to symbol (≥) to indicate that Kailyn must complete at least 25 minutes each day:
Let x be the number of minutes Kailyn completes each day. Then the inequality would be:
x ≥ 25
This means that Kailyn must complete at least 25 minutes of Mindplay each day to ensure that she completes all 100 minutes in the given 4 days.
Therefore, the inequality Kailyn can use to ensure that she completes at least 25 minutes of Mindplay each day over 4 days to complete a total of 100 minutes is x ≥ 25.
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4. Which transformation below would map the polygon A to the polygon B?
Polygon A has been translated to the right and reflected vertically
Polygon A has been rotated 90 degrees counterclockwise
Polygon A has been reflected horizontally and reflected vertically
Polygon A has been translated down and then right
The transformation below would map the polygon A to the polygon B is
Polygon A have translated to the right and reflected vertically.
What is Translation ?A translation is a type of transformation that takes each point in a figure and slides it the same distance in the same direction.
We have two polygon as A and B.
As, 90° clockwise rotation: (x, y) becomes (y,-x) 90° counterclockwise rotation: (x, y) becomes (-y, x).
But there is no change in the coordinate as such rule so rotation is not possible.
As we can see the figure Polygon A have translated to the right and reflected vertically.
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Answer: Polygon A has been reflected horizontally and reflected vertically
Step-by-step explanation: I took the quiz and it was the right answer
On which interval is the function increasing and linear?
The interval which is function increasing and decreasing is
A) x = -3.5 and x = -1.5.
What is function?
A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.
Here we know that The slope determines if the function is an increasing linear function, a decreasing linear function, or a constant function. f(x)=mx+b is an increasing function if m>0. f(x)=mx+b is an decreasing function if m<0
Then according to the graph ,
The highest point = x=-3.5
The lowest point = x=-1.5
Then the interval which is function increasing and decreasing is
A) x = -3.5 and x = -1.5.
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What is this equation
Answer:
x = 8
Step-by-step explanation:
[tex]15 + x = 23[/tex]
[tex]x = 23 - 15[/tex]
∴[tex]x = 8[/tex]
Is 3/4 greater then 2/10
Answer:yes
Step-by-step explanation:
What are the coordinates of each point after the quadrilateral RSTU is rotated 90 degrees about the origin?
Answer:
Step-by-step explanation:
90 degrees is the answer because there is no movement
Suppose the population of a small town is 567 she has a lot of the population decreases the rate of 1.5%. Every year will be the population of a town thousand 20 Round your answer to the nearest whole number.
Answer:
Assuming "she" in the question is a typo and it should be "if", here's the solution:
If the population of a small town is 567, and it decreases at a rate of 1.5% per year, we can find the population after 20 years using the formula:
P = 567 * (1 - 0.015)^20
where P is the population after 20 years.
Simplifying this expression, we get:
P = 567 * 0.742 = 420.414
Rounding this to the nearest whole number, we get:
P ≈ 420
Therefore, after 20 years, the population of the small town would be approximately 420.
Calculate the value of the expression(-7+3)(4-5×2)=
What percentage of his paycheck went to paying taxes?
The percentage of his paycheck went to paying taxes is, 28.66%.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given a paycheck of $466.34.
Now, The amount of the following taxes are,
FCIA MED TAX: $8.70.
FICA SS TAX: $37.20.
FED TAX: $59.57.
MA ST TAX: $28.19.
Therefore, The total amount of tax is, $(8.70 + 37.20 + 59.57 + 28.19).
= $133.66.
So, The percentage of his pay that goes to tax is,
= (133.66/466.34)×100%.
= 28.66%.
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