Answer:
It would require 40 teaspoons
Step-by-step explanation:
Given that;
A cookie recipe requires 3 teaspoons of baking soda for 36 cookies
The amount of teaspoons of baking soda required per cookie is;
r = 3/36 teaspoons per cookie
So, for 480 cookies i would require;
N = r × 480 cookies
Substituting r, we have;
N = 3/36 teaspoons per cookie × 480 cookies
N = 40 teaspoons
It would require 40 teaspoons
Two domestic courier services charge as per the functions y = 4x + 1 and y = 3x + 2, where x represents the weight of the parcel in pounds and y represents the total cost of the parcel. For what weight is the total cost the same in both services?
Answer:
1 pound
Step-by-step explanation:
Given the cost function of two domestic courier services.
y=4x+1y=3x+2We want to determine the weight (x) at which the costs (y) will be the same.
Since y=4x+1 and y=3x+2, then:
4x+1=3x+2
4x-3x=2-1
x=1 pound
When the weight of the parcel is 1 pound, the total cost of the parcel will be the same for the two domestic courier.
A study of the effect of seatbelt use in head-on car collisions found that drivers using a seatbelt had a 64.1% survival rate, while drivers not using a seatbelt had a 41.5% survival rate. If seatbelts have no effect on survival rate, there is less that a 0.0001 chance of getting these results. The probability shows that the sample results ____(could or could not) have occurred by chance. It appears that there _______ (is or is not) sufficient evidence to conclude that seatbelts do have an effect on survival rate.
Answer:
The correct option are;
1) Could not
2) Is
Step-by-step explanation:
The parameters given are;
The survival rate of drivers using seat-belt = 67%
The survival rate of drivers not using seat-belt = 41.5%
The chance of getting the survival rate results without a correlation with the use of seat-belt < 0.0001
Given that the chance of obtaining the given survival rates without the seat-belt having an effect on survival rate is less than 0.01 percent we have;
The probability shows that the sample results could not have occurred by chance. It appears that there is sufficient evidence to conclude that seat-belts do have an effect on survival rate.
Circle O is circumscribed About triangle ABC?
a: line AB
b: line AO
c: line ob
Is a diameter of circle O is the
a: Endpoint
b: midpoint
c: vertex
Of AB
Answer:
The correct options are;
a: line AB Is a diameter of circle O is the b: midpoint of AB
Step-by-step explanation:
Given that the circle with circumscribes the triangle, we have;
The definition of the circle allows either its radius or center to be specified, in this case, the on pint specified is O which would be the center
Given that from the options, we have AO and Ob , therefore, the line AB passes through the center and the correct option is a. line AN is a diameter of circle O is the b. midpoint of AB.
Answer:
line AB
midpoint
Step-by-step explanation:
Complete the work to solve for y
?(3y+5) – 5 = Ży-1+ toy
1
Distributive property
- 1 +
10
2. Combine like terms:
=
3
5
3. Subtraction property of equality
11
Addition property of equality
2
5 Y
Division property of equality
What is the value for y?
Answer:
Graphing Linear Inequalities
This is a graph of a linear inequality:
linear inequality y <= x +2
The inequality y ≤ x + 2
You can see the y = x + 2 line, and the shaded area is where y is less than or equal to x + 2
Linear Inequality
A Linear Inequality is like a Linear Equation (such as y = 2x+1) ...
... but it will have an Inequality like <, >, ≤, or ≥ instead of an =.
How to Graph a Linear Inequality
First, graph the "equals" line, then shade in the correct area.
There are three steps:
Rearrange the equation so "y" is on the left and everything else on the right.
Plot the "y=" line (make it a solid line for y≤ or y≥, and a dashed line for y< or y>)
Shade above the line for a "greater than" (y> or y≥)
or below the line for a "less than" (y< or y≤).
Let us try some examples:
Example: y≤2x-1
1. The inequality already has "y" on the left and everything else on the right, so no need to rearrange
2. Plot y=2x-1 (as a solid line because y≤ includes equal to)
PLEASE HELP ASAP!!!!!!!!
Answer:
a)f(o)=12
f(1)=0
f(12)=1320
c)x=1
Step-by-step explanation:
i need a graph of y=3x−1
Ah, simple!
It's important to identify what each part of your equation, which is in slope intercept form.
Let's break it down:
3x = Slope (in this case, it would be [tex]\frac{3}{1}[/tex], which means to go to the up three units, and right one unit)
-1 = Y-intercept (where your line begins)
If there's any confusion, feel free to leave a comment.
2x+y-5= Please help
Which of the following lines of Shelly's "On the Medusa of Leonardo Da Vinci in the
Florentine Gallery" appeal to the sense of hearing and sight at the same time?
1. Whereon the lineaments of that dead face
2. Are graven, till the characters be grown
3. Into itself, and thought no more can trace;
4. 'Tis the melodious hue of beauty thrown
A:Tis the melodious hue of beauty thrown
B:into itself,and thought no more can trace
C: Are graven,till the characters be grown
D: Whereon the linements of that dead face
explain answer this question is English
Answer:
A: Tis the melodious hue of beauty thrown .
Explanation:
An appeal to the sense of hearing and sight will be something that presents an act that gives the readers a sense of the sounds in the writing. While an appeal to the sense of sight will present an image or a form of the picture to the readers. These types of sense appeals are used by writers to engage their readers' interest and keep them hooked.
In Percy Bysshe Shelly's poem "On the Medusa of Leonardo Da Vinci in the Florentine Gallery", the poet talks about the goddess Medusa but most importantly talks about the painting of "Medusa" by Da Vinci. The poem structured in the iambic pentameter scheme presents an image of Medusa and also how she was depicted by Da Vinci in his work. Out of the given options from the second stanza of the poem, the line that appeals to the sense of hearing and sight is "Tis the melodious (hearing/ sound) hue of beauty thrown (sight)".
Thus, the correct answer is option A.
Para ampliar uma sala quadrada, foram acrescentados 4 metros em seu comprimento e 2 metros em sua largura, conforme a figura. Qual polinômio apresenta a área dessa sala após a ampliação? *
a) x² + 4x + 8
b) x² + 6x + 8
c) x² + 2x + 8
d) x² + 8
e) 2x + 6
Answer:
b) [tex]x^2 + 6x + 8[/tex]
Step-by-step explanation:
Para ampliar la habitación cuadrada, se agregaron 4 metros de largo y 2 metros de ancho, como se muestra en la figura.
Deje que la longitud y el ancho de la habitación antes de la expansión sean x.
La nueva longitud de la sala es (x + 4).
El nuevo ancho de la sala es (x + 2).
La nueva área de la sala será:
[tex](x + 4)(x + 2)\\x^2 + 2x + 4x + 8\\x^2 + 6x + 8\\\\[/tex]
Esa es la nueva área de la habitación.
A blockbuster movie makes about $35,200,000 in the
United States during its opening weekend. The same
weekend another movie opens but only makes about
$2,500,000
What is the combined revenue for the movies? Write
your answer in scientific notation.
Show your work.
Please help.
Answer:
$3.77 * 10^7
Step-by-step explanation:
$35,200,000 + $2,500,000 = $37,700,000 = $3.77 * 10^7
Which points are solutions to the linear inequality y < 0.5x +
2? Select three options.
Answer:
Options (1), (3), and (5)
Step-by-step explanation:
In the figure attached,
An inequality has been graphed and the shaded region shows its solutions.
Inequality : y < 0.5x + 2
If the given points in the options lie in the shaded region, point will satisfy the inequality.
For (3, -2)
-2 < 0.5(3) + 2
-2 < 3.5 [True]
Therefore, (3, -2) point is the solution.
For (-2, 1)
1 < 0.5(-2) + 2
1 < -1 + 2
1 < 1 [Not true]
Therefore, (-2, 1) is not the solution.
For (-1, -2)
-2 < 0.5(-1) + 2
-2 < 1.5 [True]
Therefore, (-1, -2) is the solution.
For (-1, 2)
2 < 0.5(-1) +2
2 < 1.5 [Not True]
Therefore, (-1, 2) is not the solution.
For (1, -2)
-2 < 0.5(1) + 2
-2 < 2.5 [True]
Therefore, (1, -2) is the solution.
Options (1), (3) and (5) will be the answer.
Answer:
A, C, and E
Step-by-step explanation: Rate it 5 stars and give it a thanks. I took the test you can comment a question i will answer back.
Which of the binomials below is a factor of this trinomial? x2 - x-12 A) x+6 B) x+4 C) x-4 D) x-6
Start by setting up your two sets of parenthses.
X² breaks down into x and x.
What we are looking for is factors of the constant term
that add to the coefficient of the middle term.
The question is, what is the coefficient of the middle term
in this problem if there is nothing written in front of the x.
Well if there is nothing written there,
the coefficient is understood to be 1.
So what we are looking for are factors of -12 that add to -1.
Factors of -12
+12 · -1
-12 · +1
+6 · -2
-6 · +2
+4 · -3
-4 · + 3
We can see that -4 and +3 add to -1.
So they go in the second position of each binomial.
This gives us (x - 4)(x + 3) as our answer.
Which facts could be applied to simplify this expression? Check all that apply. 5 x + 3 y + (negative x) + 6 z To add like terms, add the coefficients, not the variables. First add 5x + x. The simplified expression is 4 x + 3 y + 6 z. Only combine terms which contain the same variable. The simplified expression is 5 x + 3 y + 6 z.
Answer:
A. To add like terms, add the coefficients, not the variables.
C. The simplified expression is 4 x + 3 y + 6 z.
D. Only combine terms which contain the same variable.
Facts could be applied to simplify the expression to add like terms, add the coefficients, not the variables.
We have to determine the steps involved to simplify the expression.
What is the expression?An expression is a set of terms combined using the operations addition, subtraction, multiplication, and division.
For simplifying the expression this expression.
A. To add like terms, add the coefficients, not the variables.
C. The simplified expression is 4 x + 3 y + 6 z.
D. Only combine terms which contain the same variable.
Therefore by applying the above steps we can simplify the given expression.
To learn more about the expression visit:
https://brainly.com/question/723406
cos(7π/6)= a. 1/2 b.-1/2 c.√3/2 d.-√3/2 Help please?
Answer:
D. -√3/2
Step-by-step explanation:
Remember your unit circle.
Alternatively, you can plug in cos(7π/6) into your calc (Put it in rad mode) and calculate your answer.
Answer:
D. -√3/2
Step-by-step explanation:
ANSWER QUICKLY! Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2, and the profit on every wrap is $3. Sal made a profit of $1,470 from lunch specials last month. The equation 2x + 3y = 1,470 represents Sal's profits last month, where x is the number of sandwich lunch specials sold and y is the number of wrap lunch specials sold. (QUESTION!!)
--->Change the equation to slope-intercept form. Identify the slope and y-intercept of the equation. Be sure to show all your work.
Answer:
y= -2/3x+490
slope: -2/3
y-intercept: 490
Step-by-step explanation:
Y-intercept form is y=mx+b, so you would first subtract 2x from both sides to get 3y= -2x+1,470. Then you divide both sides by 3, to get y= -2/3x+490. -2/3 is in the place of m, so it is the slope, and 490 is in the place of b, so it is the y-int.
Answer:
2x+3y =1470
slope intercept form
y=mx+b
2x+3y =1470
subtract 2x from each side
3y = -2x+1470
divide by 3
y = -2/3 x +1470/3
y = -2/3x +490
slope = -2/3
y intercept = 490
which one of these are a square number a)4x10^5 b)9x10^4 c)4x10^3 d)9x10^3
Answer:
The answer is b I believe
Step-by-step explanation:
Name the line and plane shown in the diagram. A.AB and plane ABD B.BA and plane DC C.AC and plane ABD D.AB and plane DA
I will make you a Brainllest:)
Answer: The line is AB and the plane is ABD, the first option is the correct one.
Step-by-step explanation:
Ok, first some definitions.
A line is any line that crosses two colinear points. Particularly, you can see in the graph that the line crosses through A and B, so the line is AB.
A plane needs 3 non-colinear points (if the points where colinear, then the points may define a line). Other definition of plane is "a line and a point that is not in the line"
So, if our line is AB, then the possible planes are:
ABC and ABD.
then the correct option is:
Line AB and plane ABD, so the correct option is the first one.
3) (2 + 3n3 – 4n?)– (8n2 + 7n3 + 2)
Answer:
-4n³ - 8n² - 4n
Step-by-step explanation:
A function that models the profit for a new pet-monitoring system shows that there is no profit made until the price reaches
$95 per unit, a maximum profit at a price of $140 per unit, and no profit at a price over $185 per unit. Which graph models
the function?
Graphing
Answer:
The graph that best fits this model of profit and price per unit is attached to this solution.
Step-by-step explanation:
A couple of graphs are missing from the question. According to the full question as obtained online, there are a number of graph options, and we are expected to pick the best option. I would not add all the other graphs to limit the chances of deletion due to violating community guidelines.
The function is to model the profits of a new pet-monitoring system, so, if the profits are y and x is the price per unit, y = f(x)
The profits vary as the price per unit varies, there is no profit made until the price reaches
$95 per unit, a maximum profit at a price of $140 per unit, and no profit at a price over $185 per unit.
This description of the curve shows that y is negative at values of x less than $95, then the profits increase when x varies between $95 and $140. The profits reach a maximum at $140 and then the profits start to decline as x increases again, the profits go to 0 at x = $185.
This description shows that the function is a quadratic function with a graph that is n-shaped, peaking at x=185 and the graph crosses the x-axis at x=95 and x=185.
The most fitting graph for this model is attached to this solution provided.
From the graph, all the descriptions above are evident.
Hope this Helps!!!
Answer:
Graph A!
Step-by-step explanation:
just passed on edge 2020
Sorry if it's hard to see but can any one work this out plz
Much appreciated
Answer:
x = 5.25
Step-by-step explanation:
width = x
length = (x + 8)
length that overlaps with width = (x + 8) - x = 8
perimeter (clockwise)
= 90
= x + 8 + (x + 8) + x + (x + 8) + x + 8 + (x + 8) + x + (x + 8)
= 8x + 6(8)
= 8x + 48
8x + 48 = 90
8x = 42
x = 5.25
Sophia has an ear infection. The doctor prescribes a course of antibiotics. Sophia is told to take 500 mg doses of the antibiotic regularly every 12 hours for 10 days. Sophia is curious and wants to know how much of the drug will be in her body over the course of the 10 days. She does some research online and finds out that at the end of 12 hours, about 4.5% of the drug is still in the body. What quantity of the drug is in the body right after the first dose, the second dose, the third dose, the fourth dose (10 points)? When will the total amount of the antibiotic in Sophia’s body be the highest? What is that amount (10 points)? Answer Sophia’s original question: Describe how much of the drug will be in her body at various points over the course of the 10 days (10 points).
Answer:
Dosage= 500 mg
Frequency= twice a day (every 12 hours)
Duration= 10 days
Number of dosage= 10*2= 20
residual drug amount after each dosage= 4.5%
We can build an equation to calculate residual drug amount:
d= 500*(4.5/100)*t= 22.5t, where d- is residual drug, t is number of dosageAfter first dose residual drug amount is: d= 500*0.045= 22.5 mg After second dose: d= 22.5*2= 45 mgAs per the equation, the higher the t, the greater the residual drug amount in the body.
Maximum drug will be in the body:
d= 20*22.5= 450 mg at the end of 10 daysMaximum drug will be in the body right after the last dose, when the amount will be:
500+19*22.5= 927.5 mgwhat are the coordinates of that center of a circle if the endpoints of its diameter are a(8,-4) and b(-3,2)?
The coordinates of that center of a circle with endpoints of its diameter at a(8,-4) and b(-3,2) is (2.5, -1)
The standard equation of a circle is:
(x - a)² + (y - b)² = r²
where (a, b) is the center of the circle and r is the radius of the circle.
Given the diameter endpoints at a(8,-4) and b(-3,2), let (x, y) be the center of the circle, hence:
[tex]x=\frac{8-3}{2} =2.5\\\\y=\frac{-4+2}{2}=-1[/tex]
Hence the center of the circle is at (2.5, -1)
The coordinates of that center of a circle with endpoints of its diameter at a(8,-4) and b(-3,2) is (2.5, -1)
What is the value of x?
Answer:
x = 155
Step-by-step explanation:
155 and x are alternate exterior angles and alternate exterior angles are equal when a and b are parallel
x = 155
Please help me I keep getting long and I do not know what I’m doing
Answer:
-2
Step-by-step explanation:
Trial and error with multiples of 5.
The first one Tried was 15 and
I got kJ and kl= 15. But that’s not right as they are equal now.
Note that the numbers we are trying are the difference between j and k and not where k is,yet
So, I tried 25
K = -27 + 25 = -2
K from l = 3-5(because ratio was five to one) =-2
Hope this helps
Earth has a diameter of approximately 8,000 miles. If the circumference of a circle can be found using the formula C = πd, what is the circumference of Earth? (Use 3.14 for π) A. 2,512,000 miles B. 25,120 miles C. 1,256,000 miles D. 12,560 miles
Answer:
Earth's circumference is approximately 25,120 miles because if you plug in 8,000 and 3.14 into the formula C = πd, C = 25,120.
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Gene starts from home and travels 3 miles north to the shopping mall. From the shopping mall, he travels 2 miles west to the library. Then, from the library, he travels about 3.6 miles to return home. The entire trip forms a triangle. A triangle has points labeled Library, Mall, and Home The largest angle formed during his trip is _______. At his home at the mall between the mall and the library between his home and the library
Answer: The largest angle formed during his trip is at the mall between his home and the library.
Step-by-step explanation:
Hi, since the situation forms a right triangle (see image attached) the angle formed between his home and the library is 90°.
The sum of the interior angles of a right triangle is 180°, and the right angle (90°)is the largest angle formed.
So, the largest angle formed during his trip is at the mall between his home and the library.
Feel free to ask for more if needed or if you did not understand something.
Answer:
D
Step-by-step explanation:
2y
y2 + 2y + 1
+
y2 + 7y + 6
Answer:
= 2y^2+18y+6/ y^3+8y^2+13y+6
Step-by-step explanation
Answer:
2(y^2+9y+3 / (y+1)^2(y+6)
Step-by-step explanation:
To solve this -->
Fraction --> Find the LCD -->
Combine all
If there are four teams in a league, how many games will have to be played so that each team plays every other team once?
Answer:
6 matches
Step-by-step explanation:
Let’s call the teams A B C D
A will play B C D = 3 matches
B will play only C and D as it already played A, making 2 matches
C will play D, making 1 match
D has already played all
Total number of matches is thus 3 + 2 + 1 = 6 matches
Which sets of values belong to the domain and range of a relation?
output values
Domain
Range
values for the independent variable
input values
values for the dependent variable
Answer:
see below
Step-by-step explanation:
The domain is the input values which is the independent variable
The range is the output values which is the dependent variable
Suppose that y varies directly with x
and y = 5 when x = 6. What is y
when x = 5?
Answer:
y=25/6
Step-by-step explanation:
We can set up a proportion!
We know that y/x=y/x because they vary directly.
So, we have 5/6=y/5. We need to solve for y.
We cross multiply and get:
6y=25
y=25/6
When x equals 5, y will equal 25/6.
Hope this helps