Answer: -4(a+3)
Step-by-step explanation:
You can take out -4 from -4 and -12
Answer:
-4(a+3)
Step-by-step explanation:
Right on edge!
17
Mimi has to solve problems on three math
assignments. The assignments contain 38,
39, and 40 math problems. Mimi has already
solved 30 math problems. How many more
math problems does she need to solve?
Answer:
Step-by-step explanation:
39 plus 38 eqauls 77 +40=107-30=87 hope this helped please mark me brainliest. :)
Fluffy the bunny ate
1/2
of a carrot in the morning, and she ate some more at night. By the end of the day, she still had
2/5
of the carrot left to eat. How much of the carrot did Fluffy the bunny eat at night?
The amount of carrot that Fluffy the bunny had to eat at night, given the proportion eaten in the morning, is 1 / 10 of a carrot.
How to find the amount of carrot eaten ?After Fluffy the bunny ate 1 / 2 of the carrot in the morning, the amount of the carrot that would be left is 1 / 2 of the carrot or 0. 5 of the carrot.
This means that if 2 / 5 of the carrot is left to eat at the end of the day, the amount of carrot that Fluffy the bunny had to eat at night was:
= 1 / 2 - 2 / 5
= 0. 5 - 0 . 4
= 0 . 1 of the carrot
In fractions, 0. 1 is:
= 0 . 1 / 1
= 1 / 10 of the carrot
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The graph shows the distance a skydiver falls over time once she reaches maximum speed.
Enter values to complete each statement below based on the graph.
A graph titled distance a skydiver falls has time (seconds) on the x-axis, and distance (feet) on the y-axis. A line goes through (0, 0) and (1.5, 300).
CLEAR CHECK
In one second, a skydiver falls
feet.
The unit rate is
feet per second
The unit rate for the skydiver falls is 200 feet per second.
What is speed?The distance that an object travels in relation to the amount of time it takes to do so can be used to define speed. In other words, it is a measurement of an object's motion's speed without direction Velocities are what we get when speed and direction are combined.
Given the graph shows the distance a skydiver falls over time,
and graph titled distance a skydiver falls has time (seconds) on the x-axis, and distance (feet) on the y-axis.
The line passes from (0, 0) and (1.5, 300)
the point (1.5, 300) says that a skydiver covers 300 feet in 1.5 seconds
to find the unit rate we need to calculate the speed,
speed = distance/time
distance covered = 300 feet
time taken = 1.5 seconds
speed = 300/1.5
speed = 200 feet per second
Hence the unit rate is 200 feet per second.
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A set of 3 cards, spelling the word ADD, are placed face down on the table. Determine P(A, A) if two cards are randomly selected with replacement.
one third
one ninth
two thirds
two sixths
The probability: P(A, A) if two cards are randomly selected with replacement is one ninth. Option B
What is probability?You should be aware that probability is the chance of occurance of an event. the probability of an event is written thus
P(E) = Number of required outcome divided by the total number of possible outcomes
The possible outcomes are the spelling the word ADD,
The probabilities are 1/3, 1/3, 1/3 respectively.
So, P(A, A) if two cards are randomly selected with replacement will be
P(A, A) = 1/3 * 1/3
Therefore the probability of the event is 1/9
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Answer: one ninth i took the test
Step-by-step explanation:
4/9 +5/6 please answer
Answer: 5/18
Step-by-step explanation:
Answer:
Step-by-step explanation:
1 1/18 use a fraction calculator
Use the Laplace transform to solve the given integral equation: f(t) = 4t 16 sin(t) flt t) dt f(t)
The Laplace transform of the given integral equation is:
[tex]F(s) = L{f(t)} = ∫(0 to ∞) e^(-st)f(t) dt\\f(t) = L^-1{F(s)} = ∫(0 to ∞) e^(st)F(s) ds[/tex]
Given the equation
[tex]f(t) = 4t + 16sin(t) + ∫(0 to t) e^(t-u)f(u) du[/tex],
we can take the Laplace transform of both sides:
[tex]F(s) = L{f(t)} = L{4t + 16sin(t)} + L{∫(0 to t) e^(t-u)f(u) du}[/tex]
Using the properties of the Laplace transform, we have:
[tex]L{4t} = 4/s^2\\L{16sin(t)} = 16/s^2 + 16s\\L{∫(0 to t) e^(t-u)f(u) du} = F(s)L{e^(t-u)} \\= F(s)e^(-u)(1/s-1)^u|(0,t) \\= F(s)(e^(-t)/s - 1)[/tex]
By substituting these results into the equation, we get:
[tex]F(s) = (4/s^2 + 16/s^2 + 16s) + (F(s)(e^(-t)/s - 1))[/tex]
Solving for F(s) we get:
[tex]F(s) = (4/s^2 + 16/s^2 + 16s)/(1 - e^(-t)/s)[/tex]
To find f(t) we need to take the inverse Laplace transform of F(s)
[tex]f(t) = L^-1{F(s)} = L^-1{(4/s^2 + 16/s^2 + 16s)/(1 - e^(-t)/s)}[/tex]
This is the solution of the integral equation in terms of the Laplace transform.
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n divide 10 and 2 exponent = 0.123
n = _______
jessie hiked all 3 trails. the trail was 2 3/4 miles the second trail was 1 7/8 miles and the third was 1 1/3 how manty miles did jessie hike all together
The total distance hiked can be written as the mixed number:
(7 + 8/13) miles.
How many miles did Jessie hike all together?We know that Jessie hiked all 3 trails, such that:
The first trail is (2 + 3/4) miles.The second trail is (1 + 7/8) miles.The third trail is (1 + 1/3) miles.To find the total distance that Jessie hiked, we just need to add these mixed numbers, we will get:
(2 + 3/4) mi + (1 + 7/8) mi + (1 + 1/3) mi
We can group like terms, there we will get:
(2 + 3/4) mi + (1 + 7/8) mi + (1 + 1/3) mi
(2 + 1 + 1) mi + (3/4 + 7/8 + 1/3) mi
4mi + (13/8 + 1/3) mi
4mi + 47/13 mi
We can rewrite the fraction as:
47/13 = 39/13 + 8/13 = 3 + 8/13
Then the total distance hiked is:
(4 + 3 + 8/13)mi
(7 + 8/13) miles.
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If a baby has a fever, then the baby is sick. If a baby is sick, then the baby must
be brought to the hospital.
By using the Law of Syllogism, a conditional should be used to write this statement "If a baby has a fever, then the baby is sick. If a baby is sick, then the baby must be brought to the hospital" as follows: B. If the baby has a fever, then the baby must be brought to the hospital.
What is the Law of Syllogism?In Mathematics, the Law of Syllogism is sometimes referred to as reasoning by transitivity and it states that if two (2) statements are true, then a third true statement can be logically derived.
Mathematically, the Law of Syllogism follows a specific pattern and can be represented by the following conditional statements:
Conditional statement 1: If P, then Q (P ↔ Q).
Conditional statement 2: If Q, then R (Q ↔ R.
Conditional statement 3: If P, then R ( P ↔ R).
In this context, we can reasonably infer and logically deduce that a sick baby must be taken to hospital based on the given premise in accordance with the Law of Syllogism.
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Complete Question:
Use the Law of Syllogism to write a conditional for the following statement.
If a baby has a fever, then the baby is sick. If a baby is sick, then the baby must be brought to the hospital.
answer choices
If the baby is sick, then the baby must be brought to the hospital.
If the baby has a fever, then the baby must be brought to the hospital.
If the baby has a fever, then the baby is sick.
PLEASE HURRY !!
Question-
Given the equation x^2 + y^2 + 8x - 2y- 32 = 0, write the standard form equation in the form (x-h)^2 + (y-k)^2 = r^2, and list the center and radius. Show ALL WORK.
*For full credit you must have 3 things: All work with the standard form equation, the center and the radius listed
The required center of the circle's equation is (h, k) = (-4, 1), and the radius, r = 7.
What is the equation of a circle?The equation of a circle with center (h,k) and radius r is :
r² = (x−h)² + (y−k)²
To convert the equation to standard form, we complete the square for both x and y. To do this, we add and subtract the square of half the coefficient of the x term and the y term, respectively:
x² + 8x + (8/2)² - 2y + 2(8/2)(1/2)y - 2y + (2/2)² = 32
Simplifying, we get:
x² + 8x + 16 - 2y + y + 1 = 32
Now we can combine like terms:
x² + 8x + 16 + y - 2y + 1 = 32
x² + 8x + y + 17 = 32 + 17
x² + 8x + y = 49
Now we have the equation in standard form:
(x + 4)² + (y - 1)² = 49
The center of the equation is (h, k) = (-4, 1), and the radius, r = 7.
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Which image shows a reflection?
Answer: Option 4
Step-by-step explanation:
in option 4, the image is reflected, so it is a reflection.
the long jump pit was recently rebuilt to make it level with runway volunteers provided pieces of wood to frame the pit. each piece of wood provided measures 6 feet which is approximately 1.8287 meters. Questions: determine the amount of wood in meter need to rebuild the frame. how many boards did the volunteers supply round your calculations to the nearest hundredth and provide the whole number of boards supplied .
The amount of wood needed to rebuild the frame in meters is 24.58 meters.
The whole number of boards supplied is 13
How to determine the amount of wood needed to rebuild the frame?Given the dimension of the long jump pit as shown in the image attached.
In order to determine the amount of wood needed to rebuild the frame in meters, you need to calculate the perimeter of the long jump pit.
The perimeter of a rectangle is given by:
P = 2(L + W)
where L is the length and W is the width
From the image: L = 9.54 meters and W = 2.75 meters
P = 2(9.54+2.75)
P = 2(12.29)
P = 24.58 meters
Thus, the amount of wood needed to rebuild the frame in meters is 24.58 meters
How many boards did the volunteers supply round your calculations to the nearest hundredth:
No. of boards = 24.58 / 1.8287 = 13.44
Thus, the whole number of boards supplied is 13
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Complete Question
The figure in the attached image makes the question complete
order from least to greatest
-2 -2 1/2 -3 -3.5 2.5
According to the given information in the question order from least to greatest -3.5, -3, -2, -2 1/2, 2.5.
More negative number becomes more small i.e. -3.5 will be smallest in the given question.
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do you think that for every positive integer n there is a circle in the plane which contains exactly n lattice points in its interior?
Yes , it is possible that t for every positive integer n there is a circle in the plane which contains exactly n lattice points in its interior
A lattice point may be defined as the point of intersection of two grid lines or more than two grid lines that is placed in a regularly spaced points arrays. This is called a lattice point.
A formal power series that encodes the coefficients of a sequence of numbers is a generating function.
Here, the coefficients of the sequence {Sₙ} are encoded by the generating function S(x). where Sₙ is the number of lattice paths as described above.
Here we will use the fact that the generating function for a sequence satisfies a functional equation that relates the generating function to the sequence itself to prove that 1 + (x – 1)S(x) + xS(x)² = 0,
Here, the functional equation is
S(x) = 1 + xS(x) + xS(x)²
This equation implies that
The term 1 on the right-hand side corresponds to the fact that to reach the point (0,0) (the starting point), there is exactly one way which is to stay at the starting point.
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A new park in the shape of a hexagon will have 6 sides of equal length. On a scale drawing, the coordinates of the vertices of the park are (26.5, 12), (38.5, 7), (26.5, 2), (13.5, 2), (1.5, 7), and (13.5, 12). How long is each side of the park
Each side of the park has a length of 11 units.
In mathematics, a side is a geometrical shape's aspect. Lines (line segments) and points make up the shapes we see (vertices). The vertices of these line segments connect to form a shape. These line segments are referred to as sides.
To calculate the length of each side, we can use the distance formula: d = √((x2 - x1)2 + (y2 - y1)2). For example, to calculate the length of the side between (26.5, 12), and (38.5, 7), the equation would be d = √((38.5 - 26.5)2 + (12 - 7)2) = √(120 + 52) = √172 = 11.208. All sides have a length of 11 units.
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A person invests 1000 dollars in a bank. The bank pays 4.5% interest compounded semi-annually. To the nearest tenth tenth of the year, how long must the person leave the money in the bank until it reaches 1500 dollars?
On solving the provided question, we can say that - the interest ant the end of the time will be 45
what is interest ?Multiplying the principal by the interest rate, time, and other factors yields simple interest. Simple return equals principle times interest times hours is the marketed formula. It is easiest to compute interest using this formula. A percentage of the principle balance is how interest is most commonly computed. For instance, he will only pay his portion of the 100% interest if he borrows $100 from a buddy and promises to pay it back with 5% interest. $100 (0.05) = $5. When you borrow money, you must pay interest, and when you lend money, you must charge interest. Most of the time, interest is expressed as a yearly percentage of the loan amount. The interest rate on the loan is known as this percentage.
here
P = 1000
R = 4.5
T = 1
SI = PRT/100
SI = 1000 X 4.5 X 1/100 = 45
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Can scatter plot have 3 variables?
Yes, a scatter plot can have three variables. This type of plot is called a 3D scatter plot and can be used to visualize the relationships between three numeric variables.
By plotting three numeric variables in a three-dimensional space, it is possible to see how the values of each variable interact with each other. For example, one could use a 3D scatter plot to compare the sales of three different products over time, or to see how the values of three different types of stock correlate with each other.
3D scatter plots also allow for the visualization of non-linear relationships, making them a powerful tool for exploring complex datasets. Additionally, 3D scatter plots can be used to observe how one variable impacts the other two variables, or to identify clusters and outliers in the data.
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(a) Simplify this expression. 7x² +9x²-x²
7x²+9x²-x² = 15x²
use DMAS rule,
The DMAS rule describes the following arrangement of the mathematical function.
D- Division
M - Multiplication
A- addition
S- subtraction
DMAS rule is used to make the binding order of infix notation explicit for people who are learning to do more than just 'sums' or 'products'.
So, by applying the above rule the solution is as follows:
first, we need to solve addition because there is no division and multiplication
as per the equation, it is the addition function
7x² + 9x² = 16x²
next,
now perform the subtraction function
16x²-x² = 15x²
therefore,
7x²+9x²-x² = 15x²
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Sixteen teachers placed a book order for books to be used in their classrooms. The bill, totaling $350, is to be shared equally. Which is the most appropriate representation for how much will each teacher pay
Sixteen teachers ordered a book to be used in their classrooms. The book costs $350, which is to be shared equally. The most appropriate representation of how much each teacher will pay is $350 / 16 = $ 21.88.
Since there are a total of sixteen teachers who placed an order for a book and the cost of the book is $ 350.
Thus, in order to determine the amount to be paid by each teacher equally is calculated by dividing the total cost of the book by the number of teachers, as follows
= $ 350 / 16
= $ 21.875
After rounding off, it is
= $ 21.88
Thus, each teacher will pay $ 21.88 for the book.
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What is a bar graph? What is a Pareto chart? What is a bar graph? O A. A bar graph is a circular graph that uses bars to divide it into segments corresponding to each category The segments are proportional to the frequency of its category O B. A bar graph is a horizontal or vertical representation of the frequency or relative trequency of the categories. The height of each rectangle represents the of the frequency category's frequency or relative frequency O C. A bar graph represents the frequencies of values either from left to-right or right-to-left. The different segments of the bar are used to indicate the different frequencies of each category
b) A bar graph is a horizontal or vertical representation of the frequency or relative frequency of the categories. The height of each rectangle represents the frequency category's frequency or relative frequency.
A C. A Pareto chart is a bar graph whose bars are drawn in decreasing order of frequency or relative frequency t of each rectangle represents the category's frequency or relative frequency
A bar graph is used to represent data that is categorical or numerical. It is typically used to compare different categories of data, such as sales figures for different products or the number of students in different grades in a school.
The data is typically represented in a horizontal or vertical bar chart, with the length of each bar representing the quantity of the data. The categories are usually arranged from highest to lowest in a bar graph.
A Pareto chart is a specific type of bar graph. It is used to show the distribution of data into different categories and the relative importance or frequency of each category.
The categories are typically arranged in order of importance, with the most important or frequent category first and the least important or frequent category last. The bars in a Pareto chart are usually drawn in descending order, with the highest category on the left.
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Complete question:
What is a bar graph? What is a Pareto chart? What is a bar graph? O A. A bar graph is a circular graph that uses bars to divide it into segments corresponding to each category The segments are proportional to the frequency of its category O B. A bar graph is a horizontal or vertical representation of the frequency or relative trequency of the categories. The height of each rectangle represents the of the frequency category's frequency or relative frequency o c. A bar graph represents the frequencies of values either from left to-right or right-to-left. The different segments of the bar are used to indicate the different frequencies of each category What is a Pareto chart O A. A Pareto chart is a combination of a pie chart and a bar graph O B. A Pareto chart is a display of two data sets side ty side where the heigh O C. A Pareto chart is a bar graph whose bars are drawn in decreasing order of trequency or relative trequency t of each rectangle represents the category's frequency or relative frequency
The coefficient of x^2 in the expansion of (x+3)(x+k)(2x-5) is -3. Find the value of the constant k.
The coefficient of x² is negative 3. Then the value of the constant 'k' will be negative 3.
What is a polynomial?A polynomial expression is an algebraic expression with variables and coefficients. Unknown variables are what they're termed. We can use addition, subtraction, and other mathematical operations. However, a variable is not divisible.
The coefficient of x² in the expansion of (x + 3)(x + k)(2x - 5) is -3. Then the product of the expressions is given below.
⇒ (x + 3)(x + k)(2x - 5)
⇒ (2x² + 6x - 5x - 15)(x + k)
⇒ (2x² + x - 15)(x + k)
⇒ 2x³ + x² - 15x + 2kx² + kx - 15k
⇒ 2x³ + (1 + 2k)x² + (k - 15)x + kx
Then the coefficient of x² is negative 3. Then the equation is given as,
1 + 2k = - 3
2k = - 4
k = - 2
The coefficient of x² is negative 3. Then the value of the constant 'k' will be negative 3.
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please help 10 points!
By solving the given expression , The resultant could be x >= 48 or
x >= -24 .
What is Algebraic expression ?
Algebraic expression can be defined as the combination of constants , variables and values .
Given expression,
| 1/4 x - 3 | - 5 >= 4
shifting 5 to RHS
we get,
| 1/4 x - 3 | >= 9
case 1 :
1/4 x - 3 >= +9
1/4 x >= 12
x >= 48
Case 2 :
1/4 x - 3 >= -9
1/4 x >= -9+3
1/4 x >= -6
x >= -24
Hence , by solving the given expression , we get x >= 48 or x >= -24 .
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A triangle is shown with its exterior angles. The interior angles of the triangle are angles 2, 3, 5. The exterior angle at angle 2 is angle 1. The exterior angle at angle 3 is angle 4. The exterior angle at angle 5 is angle 6. Which statements are always true regarding the diagram? Select three options. m∠5 + m∠3 = m∠4 m∠3 + m∠4 + m∠5 = 180° m∠5 + m∠6 =180° m∠2 + m∠3 = m∠6 m∠2 + m∠3 + m∠5 = 180°
The statements are always true regarding the diagram, as follows:
1. m∠5 + m∠6 = 180°
2. ∠ 2+ ∠ 3 = ∠ 6
3. m∠2 + m∠3 + m∠5 = 180°
What is the interior Angle?An interior angle is defined as an angle produced on the inside of a polygon by extending the sides of the polygon.
Consider Δ ABC with Exterior angles as
∠ 1 , ∠ 4 , and ∠ 6
For Exterior ∠ 1 we have
∠ 1 = ∠ 5 + ∠ 3
This true due to Exterior angle Property of Triangle
Similarly,
For Exterior ∠ 4 we have
∠ 4 = ∠ 5 + ∠ 2.
This true due to the Exterior angle Property of the Triangle
Similarly,
For Exterior ∠ 6 we have
∠ 6 = ∠ 2 + ∠ 3
In a triangle sum of the measures of angles is equal to 180°
∴ m∠2 + m∠3 + m∠5 = 180°
This is true due to Triangle Sum Property
A straight angle has a measurement of 180 degrees, hence a linear pair of angles must sum up to 180 degrees.
∴ m∠5 + m∠6 = 180°
This true due to the Linear Pair.
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What is the biggest 3 digit odd number?
Answer:
Step-by-step explanation:
999
Devon lends $2, 700.00 to Claudia at a simple interest of 12% per year. Claudia returned him $3,000.00 and a video game console after 3 years to clear the account. What is the price of the video game console?
To calculate the price of the video game console we need to calculate the simple interest first:
Simple Interest = (Principal x Rate x Time)
Simple Interest = (2700 x 0.12 x 3) = $972.00
Now we know the interest, we can calculate the price of the video game console by subtracting the interest from the total amount Claudia returned:
Price of the video game console = $3,000.00 - $972.00 = $2,028.00
So, the price of the video game console is $2,028.00
A seamstress uses 12 yards of fabric to make 3 costumes for students in the chorus. How many yards will she need to make costumes for all 27 students in the chorus?
Answer:
108 yards for 27 students
Step-by-step explanation:
12/3
Step 1: to figure out how many yards it takes to make one costume you have to divide 12 and 3.
12/3= 4
It takes 4 yards to make one costume.
Step 2: to figure out the amount of yards used for 27 students you take 4 yards times 27 students.
4x27= 108
Willow wants to rewrite 36+27 using the greatest common factor and the distributive property
Willow's equation is written using the greatest common factor and the distributive property as follows
= 9(4 + 3)
What is distributive property?The distributive property states that multiplying the total of two or more addends by a number produces the same outcome as multiplying each addend separately by the number and adding the products together.
Additive inverse involves adding which involves two numbers that has opposite sign. the addition lead to zero
The factors of 27 are 1, 3, 9, 27 and 36 1, 2, 3, 4, 6, 9, 12, 18, 36,
the greatest common factor is 9.
writing the equation gives
= 36 + 27
= 9 * (4 + 3)
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Answer:
Step-by-step explanation:
The greatest common factor to rewrite 36 + 27 as (4 + 3 ) is 9.
What is an expression?
An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
36 + 27
Taking out 9 commons.
9 (4 + 3)
Thus,
The greatest common factor to rewrite 36 + 27 as (4 + 3 ) is 9.
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Expand and simplify the following
b) √5 (√10+ √2)
Answer:
[tex]5\sqrt{2}+\sqrt{10}[/tex]
Step-by-step explanation:
[tex]\sqrt{5}(\sqrt{10}+\sqrt{2}) \\ \\ =\sqrt{50}+\sqrt{10} \\ \\ =5\sqrt{2}+\sqrt{10}[/tex]
Pls help me on the number 11
The packaging 2 uses more material than packaging 1
The company can choose to package 12 cans one way instead of another to save costHow to determine the packaging that uses more materialFrom the question, we have the following parameters that can be used in our computation:
Package = 12 cans
Material 1 = 3 rows of 4
Material 2 = 6 rows of 2
The packaging uses more material has the greater perimeter
The perimeter is then calculated as
Perimeter = 2 * (Rows + Column)
substitute the known values in the above equation, so, we have the following representation
Material 1 Perimeter = 2 * (3 + 4)
Material 1 Perimeter = 14
Material 2 Perimeter = 2 * (6 + 2)
Material 2 Perimeter = 16
This means that the material 2 uses more material because 16 is greater than 14
The company can choose to package 12 cans one way instead of another because one package can use more material than the other and they need to save cost
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The table shows the ratio that Gary used to make bottles of glitter glue.
Bottles Glue Glitter
1 4.6 2.3
4
How much glue and glitter would he need to make 4 bottles?
Gary would need 9.2 oz glue and 18.4 oz of glitter to make 4 bottles.
Gary would need 18.4 oz glue and 9.2 oz of glitter to make 4 bottles.
Gary would need 23 oz glue and 11.5 oz of glitter to make 4 bottles.
Gary would need 18.4 oz glue and 4.6 oz of glitter to make 4 bottles.
Answer:
The numbers that you gave are ordered weird on my screen, but it should be the second answer - 18.4 glue and 9.2 glitter
Step-by-step explanation:
Just multiply all the numbers by 4
4.6 x 4 = 18.4
4 + 4 + 4 + 4 = 16
16 + 0.6 + 0.6 + 0.6 + 0.6 = 18.4
2.3 x 4 = 9.2
2 + 2 + 2 + 2 = 8
8 + 0.3 + 0.3 + 0.3 + 0.3 = 9.2