Answer:
The additive inverse is equal to [tex]6x^{3}-4x^{2}+4x[/tex]
Step-by-step explanation:
we know that
Two polynomials area additive inverses if they are opposites of each other
we have
[tex]-6x^{3}+4x^{2}-4x[/tex]
To find the additive inverse multiply the polynomial by -1
[tex]-1*(-6x^{3}+4x^{2}-4x)=6x^{3}-4x^{2}+4x[/tex]
Find the cost of one item to the nearest cent. Round if necessary. 4 lbs. of bananas for $1.92
0.48 cents per pound.
For this case we must find the unit cost of bananas, that is, one pound of banana. For this, we make a rule of three:
4lb -----------> $ 1.92
1lb -----------> x
Where the variable "x" represents the cost of a pound of banana.
[tex]x = \frac {1 * 1.92} {4}\\x = 0.48[/tex]
Thus, the banana pound costs $ 0.48.
If we round we have $ 0.50
ANswer:
$ 0.48
Which of the following is the solution of 5e2x - 4 = 11?
Answer:
x = (1/2)(ln 3)
Step-by-step explanation:
Please indicate exponentiation using the symbol " ^ ":
5e^(2x) - 4 = 11
To solve this, add 4 to both sides, obtaining: 5e^(2x) = 15
Next, divide both sides by 5, obtaining e^(2x) = 3
Now take the natural logarithm (ln) of both sides:
2x = ln 3
Finally, divide both sides by 2, obtaining: x = (1/2)(ln 3)
This last result is approx. equal to 0.549
Answer:
It's C) x= in3/2
on Edg.
If x = 17 cm and y = 8 cm, what is the length of z? A. 13 cm B. 19 cm C. 14 cm D. 15 cm
Answer:
unknown
Step-by-step explanation:
your question may be incomplete
Solve the exponential function
Answer:
See below.
Step-by-step explanation:
Just like 18, continue with 19-21. Solve for x by rewriting each equation in log form.
[tex]e^x = 4.9\\\\x = ln 4.9\\\\x = 1.59[/tex]
When rewriting the form, the base of the exponent becomes the base of the log.
Simplify the expression 5g + 5 -2g + g + 5h
Answer:
[tex]\large\boxed{5g+5-2g+g+5h=4g+5+5h}[/tex]
Step-by-step explanation:
[tex]5g+5-2g+g+5h\qquad\text{cobine like terms}\\\\=(5g-2g+g)+5+5h=4g+5+5h[/tex]
True r false? A circle could be circumscribed about the quadrilateral below?
Answer:
I would say its true
Step-by-step explanation:
What is the volume of a shoe box that is 15x10x8 inches
Answer:
1200 inches cubed.
Step-by-step explanation:
You literally multiply what the measurements are. :)
The length of a rectangle is 3 times the width. The perimeter of the rectangle is 56 feet. Find the length of the rectangle.
Answer:
length = 21
Step-by-step explanation:
P = 2L + 2W, L = 3W
P = 2(3W) + 2W = 56
8W = 56
W = 7
L = 3W = 3(7) = 21
Answer: The answer to this math question about finding the length of the rectangle with the given perimeter of the rectangle is 21 feet.
Step-by-step explanation: Here are 5 steps in order to find the length of the rectangle with the given perimeter of the rectangle:
Let P represent the perimeter of the rectangle and let L represent the unknown length of the rectangle.Step 1. Write the formula of the perimeter of the rectangle and unknown of the length of the rectangle that looks in the equation form like this: P = 2L + 2W, L = 3W.
Step 2. Substitute L into 3W that looks in the equation form like this: [tex]P = 2(3W) + 2W = 56.[/tex]
Step 3. Multiply 2 and 3W then add 2W together that looks in the equation form like this: [tex]8W = 56.[/tex]
Step 4. Divide both sides by 8 that looks in the equation form like this: [tex]W = 7.[/tex]
Step 5. Hence your answer to this math question about finding the length of the rectangle with the given perimeter of the rectangle is 21 feet that looks in the equation form like this: [tex]L = 3W = 3(7) = 21.[/tex]
I hope that my full given answer with my full given step-by-step explanation is very helpful to your own math question about finding the length of the rectangle with the given perimeter of the rectangle, please mark me as Brainliest, take care, always be safe, and have a great rest of the weekend, and also have a good night! :D
Sincerely,
Jason Ta,
The Ambitious of The Brainly And The Role of The TDSB And WHCI Student of The High School.
Please help with this question.
The maximum height occurs at the vertex found using t = -b/2a
Solve for t
t = -20 / 2(-5) = -20/-10 = 2 seconds.
Now replace t with 2 in the original equation to solve for the height:
h(t) = -5t^2 + 20t + 110
h(2) = -5(2)^2 + 20(2) +110
h(2) = -5(4) + 40 + 110
h(2) = -20 + 40 + 110
h(2) = 130
Travis only threw the spike 130 meters. Since Laura is at 135 meters, the spike did not reach her.
write the equation of a circle with center of (5,-3) and a radius of 4
Answer:
[tex]\large\boxed{(x-5)^2+(y+3)^2=16}[/tex]
Step-by-step explanation:
The standard form of an equation of a circle:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
(h, k) - center
r - radius
We have the center (5, -3) and the radius r = 4. Substitute:
[tex](x-5)^2+(y-(-3))^2=4^2\\\\(x-5)^2+(y+3)^2=16[/tex]
Write the answer to the questions below: The * means multiply.
-3.078 + 1,367 = ____
-8 * 2 + (-6 * 6) = ____
¾ + 278 + -24.5 = _____
Answer:
1. 1363.922
2. -52
3. 254.25
find the approximate area of a circle with radius equal to 8 feet
Answer:
201.06ft^2
Step-by-step explanation:
The formula for the area of a circle is pi*r^2
We just plug in 8 for r and we get our answer.
Answer:
The correct answer is,
area of given circle = 200.96 feet square
Step-by-step explanation:
Formula:-
Area of circle = πr²
Where r is the radius of circle
To find the area of given circle
Here radius r = 8 feet
Area = πr² = 3.14 * 8² = 3.14 * 64
= 200.96
Therefore area of given circle = 200.96 feet square
SIMPLIFY. WILL MARK BRAINLIEST
Here is your answer. x^5-3x^4+6x^2+x-9
what is 14% of 40 million?
14% of 40,000,000 is 5,600,000
Select the equations of f the lines that are parallel to the lines whose equations is y=3x+5
Answer:
y = 3x + b where b is any real numberStep-by-step explanation:
The slope-intercept form of an equation of a line:
[tex]y=mx+b[/tex]
m - slope
b - y-intercept
We have the equation: [tex]y=3x+5[/tex]
Parallel lines have the same slope. Therefore the equation of the lines that are parallel to the given line if in form:
[tex]y=3x+b[/tex]
where b is any real number.
1a. Javier jogs 3/4 of a mile in 8 1/2 minutes.
If he keeps the same pace, how many minutes does it take him to jog 1 mile?
(answer as a mixed number)
1b. A recipe for 1 1/4 dozen of cupcakes calls for 1 2/3 cups of flour, but Rashida has only 1 cups of flour.
How many cupcakes can she make?
(answer as a mixed number)
Javier takes 5 1/8 minutes to jog 1 mile. Rashida can make 2 cupcakes with 1 cup of flour.
Explanation:1a. To find out how many minutes it takes Javier to jog 1 mile, we can set up a proportion. Since he jogs 3/4 of a mile in 8 1/2 minutes, we can set up the equation: (3/4)/(8 1/2) = 1/x, where x is the number of minutes it takes him to jog 1 mile. To solve for x, we can cross multiply and simplify the equation.
First, we convert 8 1/2 to an improper fraction: 8 1/2 = 17/2.
Then, we can multiply both sides of the equation by 2 (to get rid of the denominator): (3/4) * 2 = (17/2) * (1/x). After simplifying, we get x = 5 1/8. Therefore, it takes Javier 5 1/8 minutes to jog 1 mile.
1b. To find out how many cupcakes Rashida can make with only 1 cup of flour, we can set up a proportion. Since the recipe calls for 1 2/3 cups of flour for 1 1/4 dozen of cupcakes, we can set up the equation: (1 2/3)/(1 1/4) = 1/x, where x is the number of cupcakes Rashida can make. To solve for x, we can cross multiply and simplify the equation.
First, we convert 1 2/3 to an improper fraction: 1 2/3 = 5/3.
Then, we can multiply both sides of the equation by 3 (to get rid of the denominator): (5/3) * 3 = (1 1/4) * (1/x). After simplifying, we get x = 2. Therefore, Rashida can make 2 cupcakes with 1 cup of flour.
Learn more about Converting fractions, Proportion here:https://brainly.com/question/36908159
#SPJ2
his recipe makes 5 pancakes.
Sanjay follows the recipe but wants to make 20 pancakes.
How much of each ingredient does he need?
Recipe: Makes 5
135 g flour
1 teaspoon (tsp) baking powder
2 tablespoons (tbsps) sugar
130 ml milk
1 egg
2 tablespoons (tbsps) oil
Answer:
540g flour
4tsp baking powder
8tbsps sugar
520mL milk
4 eggs
8tbsps oil
Step-by-step explanation:
To find out how many times he would need to make the recipe, we can divide 20 by 5:
[tex]\frac{20}{5} =4[/tex]
Now we know that Sanjay must make the recipe four times to make 20 pancakes. We need to multiply each value by 4 to get how much he needs to make 20.
[tex](4)(135)=540\\(4)(1)=4\\(4)(2)=8\\(4)(130)=520\\(4)(1)=4\\(4)(2)=8[/tex]
Sanjay can make 20 pancakes by multiplying each ingredient in the original recipe for 5 pancakes by 4. This gives 540 g flour, 4 tsp baking powder, 8 tbsps sugar, 520 ml milk, 4 eggs, and 8 tbsps oil.
To adjust the quantities of ingredients for a recipe to make a different number of servings, we multiply the amounts of each ingredient by the factor that represents how many times the original number of servings we want to make. Sanjay's goal is to make 20 pancakes instead of 5, which is 4 times the original recipe. We'll multiply each ingredient quantity by 4 to find out how much of each is needed for 20 pancakes.
Multiply the amount of flour (135 g) by 4 to get 540 g of flour.
Multiply the amount of baking powder (1 tsp) by 4 to get 4 tsp of baking powder.
Multiply the amount of sugar (2 tbsps) by 4 to get 8 tbsps of sugar.
Multiply the amount of milk (130 ml) by 4 to get 520 ml of milk.
Multiply the amount of eggs (1 egg) by 4 to get 4 eggs.
Multiply the amount of oil (2 tbsps) by 4 to get 8 tbsps of oil.
Match the term with the definition. Please help me
Question 1 options:
Angle
Parallel Lines
Perpendicular Lines
Plane
Circle
1. a flat surface that extends infinitely and has no depth; it has length and width
2. two lines that intersect at 90° angles
3. two lines that lie within the same plane and never intersect
4. a set of all points in a plane that are a given distance from a point
5. a figure consisting of two rays with a common endpoint
1)Plane
2)Perpendicular Lines
3)Parallel lines
4)Circle
5)Angles
Final answer:
The five geometric terms—Plane, Perpendicular Lines, Parallel Lines, Circle, and Angle have been matched with their respective definitions using principles of Euclidean geometry.
Explanation:
Matching the geometric terms with their definitions will allow you to better understand the basic concepts of Euclidean geometry.
Plane: A flat surface that extends infinitely and has no depth; it has length and width.
Perpendicular Lines: Two lines that intersect at 90° angles.
Parallel Lines: Two lines that lie within the same plane and never intersect.
Circle: A set of all points in a plane that are a given distance from a point.
Angle: A figure consisting of two rays with a common endpoint.
Now you can match the terms to their definitions:
Plane - Definition 1
Perpendicular Lines - Definition 2
Parallel Lines - Definition 3
Circle - Definition 4
Angle - Definition 5
What is the image of (4,7) after a reflection over the line y= - X ?
(-4, 7) would be the answer
A reflection of the point (4,7) over the line y=-x swaps and negates the x and y coordinates which leads to the new point being (-7,-4).
The image of the point (4,7) when reflected over the line y = -x is determined by essentially flipping the x and y coordinates of the original point and negating them.
This is because a reflection over the line y = -x swaps the x and y values and takes their opposite. Thus, the original point (4,7) would evolve into the point (-7,-4) after the reflection.
To break this down, the original x value was 4, and after reflection, this becomes -7 which is the new x-coordinate.
The original y value was 7, and after reflection, this becomes -4 which is the new y-coordinate. Therefore, the image of (4,7) after the reflection over the line y = -x is (-7,-4).
Learn more about Reflection over a line here:
https://brainly.com/question/18376051
#SPJ3
The area of a trapezoid is 30 square centimeters. The height is 4 centimeters. The shorter base measures 6 centimeters. What is the measure of the longer base? Draw a picture of the problem. Explain your thinking,
Answer:
The measure of the longer base is [tex]9\ cm[/tex]
The picture of the problem in the attached figure
Step-by-step explanation:
we know that
The area of a trapezoid is equal to
[tex]A=\frac{1}{2}(b1+b2)h[/tex]
where
b1 ----> the measure of the shorter base
b2 ----> the measure of the longer base
h ---> is the height
In this problem we have
[tex]A=30\ cm^{2}[/tex]
[tex]b1=6\ cm[/tex]
[tex]h=4\ cm[/tex]
substitute the values and solve for b2
[tex]30=\frac{1}{2}(6+b2)4[/tex]
[tex]15=(6+b2)[/tex]
[tex]b2=15-6=9\ cm[/tex]
The measure of the longer base is:
9 centimeters
Step-by-step explanation:We know that the area of a trapezoid with height h and two parallel bases b and b' is given by the formula:
[tex]\text{Area of trapezoid}=\dfrac{1}{2}\times (b+b')\times h[/tex]
Here we have:
The area of a trapezoid is 30 square centimeters. The height is 4 centimeters. The shorter base measures 6 centimeters.
i.e.
[tex]30=\dfrac{1}{2}\times (b+6)\times 4\\\\30=2(b+6)\\\\b+6=\dfrac{30}{2}\\\\b+6=15\\\\b=15-6\\\\b=9\ \text{centimeters}[/tex]
Angles b and c are called____angles
Answer:
The correct answer would be D they are vertical angles because their vertex touch
Step-by-step explanation:
Answer:
Vertical angles
Step-by-step explanation:
Vertical angles are angles opposite to each other at the intersection of two lines.
Which expression represents the total surface area, in square centimeters, of the square pyramid?
Answer:
Total area = (8.2)(8.2) + 4[1/2(8.2) (10.3)]
Step-by-step explanation:
From figure we can see a square pyramid with base edge 8.2 and slant height 10.3
Points to remember
Total area of square pyramid = Base area + Lateral face area
Lateral face area = 4 * One face area
To find the lateral face area
The face is like a triangle with base 8.2 and slant height = 10.3
Area of triangle = bh/2
Face area = 1/2(8.2) (10.3)
Lateral surface area = 4[1/2(8.2) (10.3)]
To find the base are
Base is a square with base edge = 8.2
Base area = side * side = (8.2)(8.2)
To find the total area of pyramid
Total area = Base area + Lateral face area
Total area = (8.2)(8.2) + 4[1/2(8.2) (10.3)]
Therefore the correct answer is first option
Answer:
(8.2)(8.2) + 4[1/2(8.2) (10.3)]
Step-by-step explanation:
a. i tooke
What is the length of diagonal d of a cube that is 10 on each edge?Round your answer to the nearest tenth of an inch.
Answer:
17.3 in
Step-by-step explanation:
(a) Diagonal on a face
First, we calculate the diagonal f on a face of the cube.
a² + a² = f²
f² = 2a²
(b) Diagonal of the cube
Consider the triangle made by the diagonal d, diagonal f, and the edge of the cube
d² = f² + a²
Substitute the value of f² d² = 2a² + a² = 3a²
Take the square root of each side d = a√3
Substitute the value of a d = 10√3 = 10 × 1.732 = 17.3 in
The diagonal of the cube is 17.3 in.
1/4 cups = _______ pt
1/4 cup is equal to 0.125 pt
Find the volume of a cone with a radius of 15cm and height of 4cm
15 cm x 4 = 60 cm
ANSWER = 60 cm
Answer:
251.33 or 251 1/3
Step-by-step explanation:
Julius is going to have a multi-course meal. The following table shows how many different dishes are offered for each course.
Course
Number of dishes
Appetizer 333
Main course 444
Dessert 333
How many different meal combinations does Julius have to choose from?
Answer:
(3)*(4)*(3) = 36 different meal combinations
Step-by-step explanation:
Course - Number of dishes
Appetizer 3
Main course 4
Dessert 3
Since we can choose any combination of dishes, we have
3 possibilities for the appetizer, 4 possibilities for main course and three possibilities from dessert.
3 and 4 and 3
3 ∧ 4∧ 3
(3)*(4)*(3) = 36
Answer: 36
Step-by-step explanation:
Given: Julius is going to have a multi-course meal.
The following table shows how many different dishes are offered for each course.
Course Number of dishes
Appetizer 3
Main course 4
Dessert 3
Now, the different meal combinations for Julius is given by :-
[tex]3\times4\times3=36[/tex]
Hence, there are 36 different meal combinations .
A shirt originally cost $47.26, but it is on sale for $44.90. What is the percentage decrease of the price of the shirt?
Answer: 5%
Step-by-step explanation: In order to calculate the percentage of the discount we need to first calculate the amount of the discount.
$47.26 - $44.90 = $2.36 discount amount
In order to calculate the percentage of the discount you must divide the discount amount by the original cost.
$2.36 / $47.26 = .0499 = rounded off to a 5% discount
Answer:
The decrease is by 5%.
How do I solve this?
Answer:
Step-by-step explanation:
Order the data from least to greatest
1,2,2,3,3,3,4,4,5,6,
Find the median.
3+3=6/2=2
Calculate the median of both the lower and upper half of the data.
Lower: 2+2=4/2=2. Upper: 4+5=9/2=4.5
The IQR is the difference between the upper and lower medians.
4.5 - 2= 2.5
80 × 16 multiplication
Answer: 1280
Step-by-step explanation:
It's simple multiplication, Hopefully this helps:) Mark me the brainliest:)!!!
* ∞ 234483279c20∞
Answer:
1280
Step-by-step explanation:
just multiply 80
16 time and your will get 1280.
another way is to use the 8 in 80 and multiply by 8s 16 time then and yall get 128 then add the 0 from 80 and that's how you'll get 1280
Can you help me find the measure of each angle? Diagram attached
Answer:
5x = 100°
4x = 80°
Step-by-step explanation:
We are given a diagram with a straight line AC being intersected by another line BD and we are to find the two mentioned angles.
We know that the two angles (5x° and 4x°) are supplementary so their sum would be equal to 180°.
So we can write it as:
[tex]5x+4x=180[/tex]
[tex]9x=180[/tex]
[tex]x=\frac{180}{90}[/tex]
[tex]x=20[/tex]
Finding the measure of both the angles:
[tex]5x = 5(20) =[/tex] 100°
[tex]4x = 4(20) =[/tex] 80°
Answer:
<ABD = 100° and <CBD = 80°
Step-by-step explanation:
From the given figure we can see a linear pair
To find the value of x
The given two linear pair angles are,
1). 5x°
2) 4x°
The sum of linear pair angles is 180°
Therefore we can write,
5x + 4x = 180
9x = 180
x = 190/9 = 20°
To find two angles
<ABD = 5x = 5 * 20 = 100° and
<CBD = 4x = 4 * 20 = 80°
Therefore two angles are, <ABD = 100° and <CBD = 80°