Every triangle is 180 degrees, so each other angle should have 20
Answer: 20 :)
Step-by-step explanation:
For what real value of $v$ is $\frac{-21-\sqrt{301}}{10}$ a root of $5x^2+21x+v$?
Answer:
v = 7
is the value for which
x = (-21 - √301)/10
is a solution to the quadratic equation
5x² + 21x + v = 0
Step-by-step explanation:
Given that
x = (-21 - √301)/10 .....................(1)
is a root of the quadratic equation
5x² + 21x + v = 0 ........................(2)
We want to find the value of v foe which the equation is true.
Consider the quadratic formula
x = [-b ± √(b² - 4av)]/2a ..................(3)
Comparing (3) with (2), notice that
b = 21
2a = 10
=> a = 10/2 = 5
and
b² - 4av = 301
=> 21² - 4(5)v = 301
-20v = 301 - 441
-20v = -140
v = -140/(-20)
v = 7
That is a = 5, b = 21, and v = 7
The equation is then
5x² + 21x + 7 = 0
I need help ASAP I’ll mark as brainliest
Answer:
A
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k ) = (2, - 1), thus
y = a(x - 2)² - 1
To find a substitute (5, 8) into the equation
8 = a(5 - 2)² - 1
8 = 9a - 1 ( add 1 to both sides )
9 = 9a ( divide both sides by 9 )
a = 1
Thus
y = (x - 2)² - 1 → A
Please answer this! Will award Brainliest!
Answer:
2^20/3^8
Step-by-step explanation:
what is the constant of proportionality (in miles per hour) based on the table? (can you please help me)
Answer:
45 ( please label me brainliest)
Step-by-step explanation:
The constant of proportionality is a factor that describes a linear relationship between two variables. In the context of a car's speed, it can be found by dividing the distance covered by the time taken, giving a result in miles per hour.
Explanation:
The constant of proportionality is a factor used to describe quantities that have a linear relationship. It is the ratio between two directly proportional variables. For example, if the speed of a car increases proportionally with the time spent driving, the constant of proportionality would be the rate the car is moving in miles per hour (mph). It can be found in simple linear equations with the form y = mx + b, where m is the constant of proportionality.
In your case, if you are given a table of values displaying a linear relationship, the constant of mathrm{proportionality} in mph can be found by selecting any two corresponding values (for time and distance in this case), and calculating the rate by dividing the distance covered in miles by the time taken in hours.
This rate (in miles per hour) is your proportionality constant, assuming that the relationship is indeed linear. Therefore, if one assumes the speed remains constant and acceleration is nil, then the speed of the car (in mph) is the constant of proportionality in this context.
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Question 2(Multiple Choice Worth 3 points) How can the U.S. government control financial institutions? Voting on a new budget Loaning money to state governments Borrowing money from a foreign bank Passing laws for credit card companies to follow I will Give brainlyist
Answer:
Passing laws for credit card companies to follow
Step-by-step explanation:
Government may pass new laws to set up new regulations for the financial institutions
Answer:
They creat laws for credit card companies.
Step-by-step explanation:
PLEASE PLEASE HELP the question is below
Answer:
D. 66/2
Step-by-step explanation:
If you are trying to figure out what operation to perform first, then follow PEMDAS.
P: Parenthesis
E: Exponents
M: Multiplication
D: Division
A: Addition
S: Subtraction
So first we start with what is in parenthesis. Since there are two operations within the parenthesis, we start with the division first since it comes first in PEMDAS. This is why D. 66/2 is our best answer.
Can anyone please answer this question !!!
Max wants to paint a wall that measures 2.1 m by 5.2 m. A tin of paint states that it will cover 3.5 m?. If the tin contains exactly 0.5 litres of paint, and all other measurements are correct to 1 d.p., find the maximum volume of paint needed to paint the wall.
Answer: The max volume is 16
Step-by-step explanation: Plz give brainliest
The line of symmetry of the parabola whose equation is y = ax^2 -4x + 3 is
x = -2. What is the value of "a"?
A. -2
B. -1
C. -1/2
Answer:
B. -1
Step-by-step explanation:
If we have a parabola whose equation is:
[tex]y=ax^{2} +bx+c[/tex]
The line of symmetry is calculated as:
[tex]x=\frac{-b}{2a}[/tex]
Now, we have the equation [tex]y=ax^{2}-4x+3[/tex] and the line of symmetry is [tex]x=-2[/tex]
Where:
[tex]b=-4\\c=3[/tex]
So, we can replace [tex]b[/tex] by -4 and [tex]x[/tex] by -2 and solve for [tex]a[/tex] using the following equation as:
[tex]x=\frac{-b}{2a}\\-2=\frac{-(-4)}{2a}\\-2(2)a=4\\-4a=4\\a=-1[/tex]
It means that the equation of the parabola is equal to:
[tex]y=-1x^{2}-4x+3[/tex]
A father who is 42 years old has a son and a daughter. The daughter is three times as old as the son. In 10 years, the sum of all their ages will be 100 years. How old are the two siblings at present?
Answer:
son is 7 daughter is 21
Step-by-step explanation:
A company manufactures two different sizes of boat lifts. The smaller lift requires 1 hour in the welding department and 2 hours in the packaging department. The larger lift requires 3 hours in the welding department and 1 in the packaging department. The company has 150 hours/day available in welding and 120 hours/day available in packaging. If the profit is $25 for each small lift and $90 for each large lift, how many of each type should be produced to maximize profits? (1) List your variables (2) List your constraints
Answer:
The solution that optimizes the profit is producing 0 small lifts and 50 large lifts.Below are all the steps explained in detail.The graph is attached.
Explanation:
1. Name the variables:
x: number of smaller liftsy: number of larger lifts2. Build a table to determine the number of hours each lift requires from each department:
Number of hours
small lift large lift total per department
Welding department 1x 3y x + 3y
Packaging department 2x 1y 2x + y
3. Constraints
150 hours available in welding: x + 3y ≤ 150120 hours available in packaging: 2x + y ≤ 120The variables cannot be negative: x ≥ 0, and y ≥ 0Then you must:
draw the lines and regions defined by each constraintdetermine the region of solution that satisfies all the constraintsdetermine the vertices of the solution regiontest the profit function for each of the vertices. The vertex that gives the greatest profit is the solution (the number of each tupe that should be produced to maximize profits)4. Graph
See the graph attached.
Here is how you draw it.
x + 3y ≤ 150draw the line x + 3y = 150 (a solid line because it is included in the solution set)shade the region below and to the left of the line2x + y ≤ 120draw the line 2x + y ≤ 120 (a solid line because it is included in the solution set)shade the region below and to the left of the linex ≥ 0 and y ≥ 0: means that only the first quadrant is consideredthe solution region is the intersection of the regions described above.take the points that are vertices inside the solutoin region.5. Test the profit function for each vertex
The profit function is P(x,y) = 25x + 90y
The vertices shown in the graph are:
(0,0)(0,50)(42,36)(60,0)The profits with the vertices are:
P(0,0) = 0P(0,50) = 25(0) + 90(50) = 4,500P(42,36) = 25(42) + 90(36) = 4,290P(60,0) = 25(60) + 90(0) = 1,500Thus, the solution that optimizes the profit is producing 0 smaller lifts and 90 larger lifts.
Final answer:
To maximize profits from manufacturing boat lifts, define variables as x for small lifts and y for large lifts, and list the constraints from the welding and packaging departments' available hours alongside non-negative production quantities.
Explanation:
To find how many of each type of boat lifts should be produced to maximize profits, first, we need to define our variables and list our constraints.
List your variables
Let x be the number of small lifts.Let y be the number of large lifts.List your constraints
For the welding department: 1x + 3y ≤ 150 (hours/day available).For the packaging department: 2x + 1y ≤ 120 (hours/day available).Non-negative constraint: x ≥ 0, y ≥ 0.These constraints represent the limits on production based on the available hours in each department, whilst also considering that the production of both types of lifts must be a non-negative quantity.
Use the graph to determine the input value for which f(x) = g(x) is true.
x = 0.5
x = 1
x = 1.5
x = 2
Answer: 1.5
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Joel is listening to his playlist. Joel selects random play from the user playlist. Joel's has 2 Cardi B songs, 13 Eminem songs, and 5 Beyonce songs on it. What is P (Cardi B or Beyonce)? (Use a fraction, decimal[out only 3 spaces], or percent) *
uh
probably beyonce cuz there more songs on the playlist. what kinda quiz is this
Answer:
uh
probably beyonce cuz there more songs on the playlist. what kinda quiz is this
Step-by-step explanation:
how to factor 3x^2-x-30
Answer:
(x + 3)(3x - 10)
Step-by-step explanation:
[tex]3 {x}^{2} - x - 30 \\ = 3 {x}^{2} + 9x - 10x - 30 \\ = 3x(x + 3) - 10(x + 3) \\ = (x + 3)(3x - 10) \: are \: the \: required \: factors.[/tex]
To factor the expression [tex]3x^2-x-30[/tex], use factoring by grouping. The factored form is (3x + 3)(x - 10).
To factor the expression [tex]3x^2-x-30[/tex], we can use factoring by grouping or the quadratic formula. Let's use factoring by grouping:
Step 1: Multiply the leading coefficient (3) by the constant term (-30) to get -90.
Step 2: Find two numbers whose product is -90 and whose sum is the coefficient of the linear term (-1). In this case, the numbers are -10 and 9.
Step 3: Rewrite the middle term (-x) as the sum of the numbers found in step 2 (-10x + 9x).
Step 4: Group the terms and factor out the greatest common factor from each group (3x(x - 10) + 3(x - 10)).
Step 5: Factor out the common binomial (x - 10) from each group to get the final factored form: (3x + 3)(x - 10).
Need help dumb and bad at this but good and smart at other things !!!
Answer:
The answer is A my dude
Step-by-step explanation:
Answer:
He loses 12 limbs over 4 days (need one more branliest to level up)
Step-by-step explanation:
loses 3 on monday (-3)
loses 3 on tuesday (-3)
see the pattern
? ÷ 4 = 9
please help me
Answer:
Your answer would be 36
Step-by-step explanation:
You can figure this out by multiplying B by C to get A or
4 x 9 = 36
Then you can check by going
36 ÷ 4 = 9
9 = 9
This is the right answer
Answer:
36
Step-by-step explanation:
You are solving for ?. Let ? become the variable (x).
x ÷ 4 = 9
Note the equal sign, what you do to one side, you do to the other. Isolate the variable, x. To do so, multiply 4 to both sides:
x ÷ 4 (* 4) = 9 (* 4)
x = 9 * 4
x = 36
36 is your answer.
~
Here are advertised horsepower ratings and expected gas mileage for several 2007 vehicles
as reported by Kelly Blue Book
Vehicle
Horsepower
Gas Mileage (MPG)
Audi A4
200
BMW 328
1230
Buick LaCrosse
200
Chevy Cobalt
Chevy TrailBlazer 291
Ford Expedition
300
GMC Yukon
Honda Civic
Honda Accord
Hyundai Elantra
Lexus IS 350
Lincoln Navigator 300
Mazda Tribute
212
Toyota Camry
158
Volkswagen Beetle 150
This is an incomplete table of horsepower and gas mileage data for various 2007 vehicles. Despite the missing information, it can still be used to analyze patterns, create averages, and compare specific models or power ratings.
Explanation:The presented data appears to be a compilation of horsepower ratings and expected gas mileage (MPG) readings for a variety of 2007 vehicles, as reported by Kelly Blue Book. Unfortunately, the table is incomplete, without consistent information for each listed vehicle, but it can still be analyzed to some extent. You could use this data in mathematics to do things like analyze patterns, create averages, and chart the information in graphical form. For instance, you might look at the relationship between horsepower and gas mileage - perhaps higher horsepower means lower gas mileage, or you might find there's no clear pattern at all. Examples of such analyses might include comparing models from the same manufacturer (like the Honda Civic and Honda Accord), or comparing cars with similar horsepower, like the Audi A4 and Buick LaCrosse both with 200 horsepower.
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4c = 3 what does c equal?
I NEED HELP NOW
Answer:
3/4
Step-by-step explanation:
The solution of expression 4c = 3 by combining like terms is c = 3/4.
Used the concept of the equation that states,
An equation is a group of numerical variables and functions that have been combined using operations like addition, subtraction, multiplication, and division.
Given that the equation is,
4c = 3
Now simplify the equation by combining like terms,
4c = 3
Divide both sides by 4,
4c/4 = 3/4
c = 3/4
Therefore, the solution is c = 3/4.
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A construction crew cuts 4 pieces of plywood. The first piece is 3/4 ft long. 1. The second piece is 2 1/2 times as long as the first piece. How long is it? 2. The third piece is 1 1/3 as long as the second piece. How long is it? 3. The fourth piece is half as long as the third piece. How long is it?
Answer:
5
Step-by-step explanation:
Two bicyclists left at 11:30 AM for a ride. Rider A traveled at a constant rate of 12 mph at a
bearing of N 47° E, stopping at 1:30 PM. Rider B traveled until 3:00 PM, biking at a constant rate
of 9 mph at a bearing of S 62° E. Determine the distance between the two bicyclists.
Answer:
32.8 miles
Step-by-step explanation:
The total time travelled by rider A is 2 hours. If his speed was 12 mph, the distance travelled is 2 * 12 = 24 miles.
The total time travelled by rider A is 3 hours and 30 minutes (so 3.5 hours). If his speed was 9 mph, the distance travelled is 3.5 * 9 = 31.5 miles.
The angle that they make, as rider A was in the direction N 47 E and the rider B was in the direction S 62 E, is equal to 180 - 47 - 62 = 71°
With these values (two distances and a angle between then, we can use law of cosines to find the distance between the bicyclists:
c^2 = a^2 + b^2 - 2ab*cos(angle)
c^2 = 24^2 + 31.5^2 - 2*24*31.5*cos(71)
c^2 = 1075.99
c = 32.8 miles
The distance between the two bicyclist is 32.8 miles
The calculation is as follows:The total time travelled by rider A is 2 hours.
In the case when his speed was 12 mph,
So, the distance travelled is 2 (12) = 24 miles.
Now
The total time travelled by rider A is 3 hours and 30 minutes i.e. 3.5 hours).
In the case when his speed was 9 mph, the distance travelled is 3.5 (9) = 31.5 miles.
Now the direction is
= 180 - 47 - 62
= 71°
Now the distance is
[tex]c^2 = a^2 + b^2 - 2ab\times cos(angle)\\\\c^2 = 24^2 + 31.5^2 - 2\times 24\times 31.5\times cos(71)\\\\c^2 = 1075.99[/tex]
c = 32.8 miles
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What shapes can the composite figure be decomposed into? Select two options.
A hexagon.
a rectangle and a triangle
a rectangle and two triangles
a square and two triangles
two rectangles
two trapezoids
The composite figure can be decomposed into:
C. a rectangle and two triangles
F. two trapezoids.
What is a Composite Figure?A composite figure is a figure that is formed by two or more shapes, or a figure that can be decomposed into two or more shapes.
The composite figure in the diagram be be broken down into either two trapezoids or a rectangle and two triangles.
Therefore, the shapes that the composite figure can be decomposed into are:
C. a rectangle and two triangles
F. two trapezoids.
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Mae loses 3 points for each wrong answer on a test.
How does her score change if she has 7 wrong answers?
Answer:
Mae will have 21 points at the end of the test.
Step-by-step explanation:
3x7=21
Answer: 21 points
Step-by-step explanation:
If you have if she has seven wrong, and each question makes you lose 3 points. you can 21.
Michael is planting a garden in the shape of a right triangle. He wants 4 tickseed plants for each square meter of area. How many tickseed plants does Michael want in his garden?
Please Help Me!
Answer:
336 plants
Step-by-step explanation:
To find the number of tickseed plants that Michael needs to plant in his garden, we have to find the area of the garden first.
We notice that the garden has the shape of a right triangle: so, we have to find the area of the right triangle.
The area of a triangle is given by the formula
[tex]A=\frac{1}{2}bh[/tex]
where
A is the area
b is the length of the base
h is the height of the triangle
From the figure, we see that:
b = 7 m is the length of the base
h = 24 m is the height of the triangle
Therefore, applying the formula, we find the area of the garden:
[tex]A=\frac{1}{2}7\cdot 24 =84 m^2[/tex]
We also know that Michael wants to plant 4 tickseed plants for each square meter of area; therefore, the total number of plants that Michael will plant is 4 times the area of the garden, so:
[tex]N=4A=4\cdot 84=336[/tex]
Answer:
336 tickseed plants
Step-by-step explanation:
Algebra problem! PLEASE help me!!!
Helen deposited $1200 at 5% interest compounded continuously. After 6 years, how much did she have?
(A) $1619.83
(B) $1560
(C) $2410.26
(D) $1608.11
(E) none of these
I got (D), but got it wrong. Would (A) be the correct answer?
Answer:
A
Step-by-step explanation:
X = 1200 × e^(5% × t)
X = 1200 × e(0.05×6)
X = 1200 × e^0.3
X = 1619.830569
v-3/-10= -4 please answer step by step
Answer:
5
-by-step explanation:
A student has a container with a volume of 2.5 liters. She estimates the volume to be 2.8 liters. By
what percent is the student's estimate off?
Answer:
12 percent
Step-by-step explanation:
2.5 ÷ 100 = 0.025
2.8 - 2.5 = 0.3
0.3 ÷ 0.025 = 12
The percent change is 12%.
What is Percent Change?When you want to analyse how a value has evolved over time, percentage increase is helpful. Although percentage increase and absolute increase are fairly comparable, the former is more helpful when contrasting different data sets.
Given:
A student has a container with a volume of 2.5 liters.
She estimates the volume to be 2.8 liters.
Change in Amount
= 2.8-2.5
= 0.3
So, percent increase
= 0.3 / 2.5 x 100
= 0.12 x 100
= 12%
Hence, the percent change is 12%.
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A watercolor painting is 19 inches long by 11 inches wide. Ramon makes a border around the watercolor painting by making a mat that adds 2 inches to each side of the length and the width. What is the area of the mat?
The total area of mat without painting is 136 square inches.
The original painting is 19 inches long by 11 inches wide. When Ramon adds a 2-inch border to each side of the painting's length and width, the overall dimensions of the mat become:
Length with border: 19 inches + 2 inches + 2 inches = 23 inches
Width with border: 11 inches + 2 inches + 2 inches = 15 inches
To find the area of the mat, one must calculate the area of the border plus the painting and then subtract the area of the painting:
Calculate the area of the full mat with the painting: 23 inches imes 15 inches = 345 square inches.
Calculate the area of the painting alone: 19 inches imes 11 inches = 209 square inches.
Subtract the area of the painting from the full area to get the area of the mat: 345 square inches - 209 square inches = 136 square inches.
Consider the reflection of parallelogram PQRS across
the line of reflection,
If RR' = 14, then RZ = 7
If SX = 5, theny = 5.
Answer:
7
XS
Step-by-step explanation:
100% on edge
The reflection of parallelogram PQRS across the line of reflection is 7 XS.
Parallelogram:A simple (non-self-intersecting) quadrilateral with two sets of parallel sides is known as a parallelogram in Euclidean geometry. A parallelogram's facing or opposing sides are of equal length, and its opposing angles are of similar size. The Euclidean parallel postulate or one of its equivalent formulations must be used in order to demonstrate the congruence of opposed sides and opposite angles because both conditions are a direct result of this postulate.In contrast, a quadrilateral with only one set of parallel sides is referred to as a trapezoid or trapezium in British or American English.The parallelepiped is a parallelogram's three-dimensional equivalent.
Therefore, the correct answer to the question is 7 XS.
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Multiply the polynomials (x+3)(2x-4)
Step-by-step explanation:
x*2x-x*4+3*2x-3*4=2x²-4x+6x-12=2x²+2x+12=2(x²+x+6)
A color printer prints 35 pages in 11 minutes. How many pages does it print per minute?
Answer:
The answer my friend is 3.1818181818181817
Step-by-step explanation:
My explanation is when you divide 35 and 11 you get 3.18 if you round it to the tenths it would be 0.01. HOPES THIS HELP HAVE A WONDERFUL REST OF YOUR DAY MARK ME BRAINLIEST PLZ.
What is the rate of change between the interval of x = pi over 4 and x = pi over two ? (1 point)
Group of answer choices
A negative 8 over pi
B negative pi over 8
C negative 32 over pi
D negative pi over 32
Answer:
The right answer is C
Step-by-step explanation: