Answer:
Butter = (3*15) / 4 = 45/4 = 11 1/4 tsp
Baking powder = (3*5) / 4 = 15/4
= 3 3/4 tsp
Pecans = (3 * 2) / 4 = 6/4
= 3/2 = 1.5 cups
Here, we are required to determine how much of each of these ingredients are necessary for 3 dozen cookies
The ingredients are;
11 and 1 quarter cups of butter is needed.3 and 3 quarters teaspoons of baking powder are needed.1 and a half cups of peacans are needed.Therefore, for 3 dozen cookies; 3 quarters of the requirements for 4 dozen cookies;
Cups of butter needed = (3/4) × 15 = 11.25Teaspoons of baking powder needed = (3/4)× 5 = 3.75Cups of peacans needed = (3/4)× 2 = 1.5Ultimately,
11 and 1 quarter cups of butter is needed.3 and 3 quarters teaspoons of baking powder are needed.1 and a half cups of peacans are needed.Read more:
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Solve for s 2-2s=3/4s+13
Answer:
s=-4
Step-by-step explanation:
Bring the S to one side and the numbers to the other
-11/4s=11
Then just divide, but when dividing fractions you have to switch the fraction so..
s=11*(-4/11)
s=-4
Please answer correctly !!!!!!! Will mark brainliest !!!!!!!!!!!!!!
Answer:
y= -x^2+5
Step-by-step explanation:
It normally expontionally goes up, so across the x axis is down so it is negative, and is is all scales up, so the start is 5 up from the origin on the y axis, so it would be y=-x+5
Hope this helped!
What is the equation for the graph shown?
Answer:
y = -2x + 6Step-by-step explanation:
The graph is a line Then it has an equation of the form : y = my + p
where m is the slope and p is the y-intercept.
the line crosses the y-axis at the point (0,6) then
p = 6
the line is going down then
m is negative
the only provided equation that verify: m < 0 and p = 6 is y = -2x + 6
Answer:
y = -2x + 6
Step-by-step explanation:
can someone help me please
To calculate mean you add up all the numbers you have, then divide it by the total pieces of data, for example: 2 4 3 1 = 2+4+3+1=10 10÷4=2.5
To calculate median, you find the middle number, it helps to put the numbers in order. If there are two middle numbers, add them up and divide by 2.
To calculate mode, you find the number that appears the most.
Comment if you want the answers.
Find the area of the figure
Answer:
Step-by-step explanation:
170. LxW=A
20x8.5=170
Answer:
360 cm^2
Step-by-step explanation:
If you move the triangle to the right, you can see it fits perfectly into the right side of the parallelogram. Therefore, we have a rectangle, with width 20 and height 18. 18x20=360.
Find the unknown measures. Round lengths to the nearest tenth and angle measures to the nearest degree.
AC =
BC=
∡C=
degrees
Answer:
AC= 6.3 units (nearest tenth)
BC= 2.8 units (nearest tenth)
∠C= 64°
Step-by-step explanation:
Please see attached picture for full solution.
If f(x) = - x2 + 6x - 1 and g(x) = 3x2 - 4x - 1, find (f- g)(x).
Answer:
Step-by-step explanation:
- 4x² + 10x
Answer:
[tex]\fbox{\begin{minipage}{11em}(f - g)(x) = -2x(2x - 5)\end{minipage}}[/tex]
Step-by-step explanation:
Given:
[tex]f(x) = -x^{2} + 6x - 1 \\ g(x) = 3x^{2} - 4x - 1\\[/tex]
Solve for:
[tex](f - g)(x)[/tex]
Solution:
Perform the subtraction:
[tex](f - g)(x) = (-x^{2} + 6x - 1) - (3x^{2} - 4x - 1)[/tex]
Eliminate the parenthesis (notice the change in sign of some components):
[tex](f - g)(x) = -x^{2} + 6x - 1 - 3x^{2} + 4x + 1[/tex]
Rearrange the expression:
[tex](f - g)(x) = (-x^{2} - 3x^{2}) + (6x + 4x) + (1 - 1)[/tex]
Simplify the expression:
[tex](f - g)(x) = -4x^{2} + 10x[/tex]
Perform the inverse of associative property:
[tex](f - g)(x) = -2x(2x - 5)[/tex]
Hope this helps!
:)
4y+3x =25 is the tangent to the circle x^2+ y^2 = 25 at the point P(3,4). The equation of the radius of the circle that passes through P is
PLEASE SHOW SOLUTION!
Answer:
4x - 3y = 0
Step-by-step explanation:
The angle between the radius and the tangent at P is right
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange 4y + 3x = 25 into this form
Subtract 3x from both sides
4y = - 3x + 25 ( divide all terms by 4 )
y = - [tex]\frac{3}{4}[/tex] x + [tex]\frac{25}{4}[/tex] ← in slope- intercept form
with slope m = - [tex]\frac{3}{4}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{3}{4} }[/tex] = [tex]\frac{4}{3}[/tex] , thus
y = [tex]\frac{4}{3}[/tex] x + c ← is the partial equation
To find c substitute P(3, 4) into the partial equation
4 = 4 + c ⇒ c = 4 - 4 = 0
y = [tex]\frac{4}{3}[/tex] x ← equation of radius in slope- intercept form
Multiply through by 3
3y = 4x ( subtract 3y from both sides )
4x - 3y = 0 ← equation of radius in standard form
Find the perimeter of this semi-circle with radius, r = 25cm. Give your answer as an expression in terms of π .
perimeter of circle
2πr
perimeter of semi circle
2πr ÷ 2
=2π(25) ÷ 2
= 50π ÷ 2
= 25π
Ans = 25π
The length, width, and height of Richards Fish tank are 24 inches 16 inches and 18 inches,respectively. Richard is filling his fish tank with water from a hose at the rate of 500 cubic inches per minute. How long will it take to the nearest minute to fill the tank to a depth of 15 inches
Answer: 12 minutes
Step-by-step explanation:
Volume of water in the tank
l x b x h = 24 * 16 * 15 = 5760 cu. in.
Time it will take to fill the tank
= 5760 / 500 = 11.52 = 12 minutes
Solve for x in the equation x2 - 12x+36-90
0
X=6+3/10
X=6:27
X= 12+3.22
X = 12:3.10
Answer:
The Answer is A) X=6+3/10
Step-by-step explanation:
x = 6 + 3 √ 10 , 6 − 3 √ 10
Decimal Form:
x = 15.48683298 , − 3.48683298
Factor the polynomial expression x4 + 18x2 + 81
Answer: [tex](x^2+9)^2[/tex]
Step-by-step explanation:
Rewrite it in the form [tex]a^2+2ab+b^2[/tex] , where [tex]a=x^2 and b=9.[/tex]
[tex](x^2)^2+2(x^2)(9)+9^2[/tex]
Use Square of Sum: [tex](a+b)^2= a^2+2ab+b^2[/tex]
[tex](x^2+9)^2[/tex]
Each day that a library book is kept past its due date, a $0.30 fee is charged at midnight. Which ordered pair is a viable solution if x represents the number of days that a library book is late and y represents the total fee?
Answer:
Option (4)
Step-by-step explanation:
An ordered pair (x, y) represents,
x = number of days that a library book is late
y = Total fee for the delay
Late fee of a library book = $0.30 per day
Then late fee of a book for the delay of 'x' days,
y = per day fee × number of days delayed
y = [tex]0.30\times x[/tex]
Option (1). For (-3, -0.90)
Since number days can't be negative so not the answer.
Option (2). For (-2.5, -0.75)
Number of days are negative so can't be the answer.
Option (3). For (4.5, 1.35)
Fee for 4.5 days will be,
y = 0.30(4) [Since fee is charged after completion of one day or in the midnight]
Fee for 4.5 days will be the same as fee for 4 days.
y = $1.20
Therefore, this option will not be the answer.
Option (4). For (8, 2.40)
y = 0.30x
y = 0.30(8)
y = 2.40
Therefore, option (4) will be the answer.
Answer:
8,2.40
Step-by-step explanation:
During the last 5 basketball games, Javier scored 13 , 20, 13, 15, and 24 points.
What is the range of the data? *
Answer:
During the last 5 basketball games, Javier scored 13 , 20, 13, 15, and 24 points
Step-by-step explanation:
Answer:
11 points
Step-by-step explanation:
Range = Highest value - lowest value
Highest value = 24
Lowest value = 13
Range = 24 - 13
Range = 11
Brainliest? Answer ASAP plz Which of the following values are in the range of the function graphed below? Check all that apply.
Answer: D.6
Step-by-step explanation:
The range of a function is the complete set of all possible resulting values of the dependent variable (y, usually), after we have substituted the domain. In plain English, the definition means: The range is the resulting y-values we get after substituting all the possible x-values.
The on;y possible value for y is Y=6, so the answer is D
Answer:
6
Step-by-step explanation:
The range is the output values, or in this case the y values
The only y value is 6
The range is 6
Hello, I am having troubles with brainly I can't search anything because it just brings up the screen that no one has asked that question before or something along those lines. Thanks for reading.
Answer:
jus make a new acc
Step-by-step explanation:
Answer:I recommend looking it up on a different website or wording it differently.
hope this helps.
Step-by-step explanation:
Can someone help me with this geometry question I don’t understand it
Plz help...
I’m offering 10 pts
Answer:
B._________________________
I need help plzzzzzz
Answer:
C) -b > 0
Step-by-step explanation:
as per the graph
a<b<c and a<0, b<0
A) a>b
incorrect as a is on the left from bB) -b < -c
incorrect, b<c, when negative applied to both sides, inequality is reversedC) - b> 0
correct, as b<0, when negative applied it make b positive, i.e greater than zeroHELP!! IMPORTANT!! PLEASE HELP!!
John checked his answer and found that it was incorrect. John’s work is below. What did he do incorrectly?
ℎ + 10 = 25
ℎ + 10 + 10 = 25 + 10
ℎ = 35
Please list everything he did incorrectly! Thank you!!
Answer:
he added 10 instead of subtracting 10 to isolate the variable, then he just removed the 20 that would be with the variable
Step-by-step explanation:
Jan lost 22 points on her exam. She got 11 questions wrong.
What integer represents the point value of each wrong answer?
Answer:
2
Step-by-step explanation:
22/11=2
The complex conjugates theorem states that
another factor of the polynomial is
Answer:
Step-by-step explanation:
...exactly the same but with a different sign separating them. For example, if a root of a polynomial is
3 + 4i, then the other root has to be 3 - 4i because they always come in pairs. Always!! If a root is -2 - 3i, then the other root has to be -2 + 3i. Notice that the only sign that will change is the one that separates the a part of the complex number from the b part.
This phenomenon also applies to radicals. If we have a root that is [tex]-3 + \sqrt{5}[/tex][tex]-3 +\sqrt{5}[/tex] then the other root has to be [tex]-3 -\sqrt{5}[/tex]
Answer:
x-3i
Step-by-step explanation:
- 2.5f + 0.4f - 15 - 4
Answer:
Simplify the f's variables -2.1
Simplify the numbers -19
-2.1f -19 is the answer
-2.1f -19Answer-2.1f-24:
Step-by-step explanation:
What is the last step when finding the area of a compound shape?
Using the formula then calculator to get the ans and we must never forget to write the unit in squared form.
Please answer correctly !!!!!! Will mark brainliest answer !!!!!!!!!!!
Answer:
Step-by-step explanation:
Take you ruler and draw a horizontal line from point (0,-2)
When you do, the point where y = -2 is when x = - 3
Answer:
x = -3
Step-by-step explanation:
the question asks for what x the function = -2
if you imagine horizontal line passing through -2 then you cann see that it crosses graph when x = -3 and 0
which two operations are needed to write the expression that repersents "four times the difference of a number and three"
Answer:
4 (x-3)hhkjcdrtuvddistheansww
Which statement explains the relationship of sides BA and B'A' after rectangle BADC has been rotated 90° clockwise about the origin?
coordinate plane with rectangle ABCD at A (3,5), B (1,3), C (5,-1), and D (7,1)
Side B'A' has a slope of −1 and is perpendicular to side BA.
Side B'A' has a slope of 1 and is parallel to side BA.
Side B'A' has a slope of 1 and is perpendicular to side BA.
Side B'A' has a slope of −1 and is parallel to side BA.
Answer:
Numbering the options, we have;
1) Side B'A' has a slope of −1 and is perpendicular to side BA.
2) Side B'A' has a slope of 1 and is parallel to side BA.
3) Side B'A' has a slope of 1 and is perpendicular to side BA.
4) Side B'A' has a slope of −1 and is parallel to side BA.
The correct option is;
1) Side B'A' has a slope of -1 and is perpendicular to side BA
Step-by-step explanation:
The given coordinates are;
A(3, 5) B(1, 3), C(5, -1) and D(7, 1)
The slope of BA is found as follows;
[tex]Slope \, of BA= \dfrac{y_{2}-y_{1}}{x_{2}-x_{1}} =\dfrac{3-5}{1-3}= \dfrac{-2}{-2} = 1[/tex]
Rotation of a line through 90 degrees gives
(x, y) will be (y, -x)
Therefore, the coordinates of A' = (5, -3)
The coordinates of B' = (3, -1)
Then the slope is given as follows;
[tex]Slope \, of \, B'A' =\dfrac{-1 -(-3)}{3-5}= \dfrac{2}{-2} = -1[/tex]
Therefore side B'A' has a slope of -1 and is perpendicular to side BA.
Option (4) will be the correct option.
Coordinates of the vertices of rectangle ABCD are,
A(3, 5), B(1, 3), C(5, -1) and D()Slope of a segment with endpoints [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by the expression,
Slope 'm' = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Therefore, slope of segment BA (m₁) = [tex]\frac{3-5}{1-3}[/tex] = 1
If a point (h, k) is rotated 90° clockwise about the origin, rule to be followed,
(h, k) → (-k, h)
Following this rule,
B(1, 3) → B'(-3, 1)
A(3, 5)→ A'(-5, 3)
Slope of segment B'A' (m₂) = [tex]\frac{1-3}{-3+5}=-1[/tex]
Expression representing two segments with slopes [tex]m_1[/tex] and [tex]m_2[/tex] to be perpendicular,
[tex]m_1\times m_2=-1[/tex]
Since, slopes of two segments BA and B'A' are (1) and (-1).
(1) × (-1) = -1
Therefore, both the segments BA and B'A' will be perpendicular.
Option (4) will be the answer.
Learn more,
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The expression (x − 4)2 is equivalent to x2 − 16 x2 + 16 x2 − 8x + 16 x2 + 8x + 16
Answer:
Given below
Step-by-step explanation:
The algebraic identity is (a-b)^2
= a^2 + b^2 - 2ab
So it'll be,
(x-4)^2
= x^2 + (4)^2 - (2)(x)(4)
= x^2 -8x + 16
or x^2 +16 -8x
The expression x² + 16 -8x is equivalent to the given expression (x-4)². The correct answer would be an option (C).
What is algebra?Algebra is a discipline of mathematics that deals with symbols and the rules that govern their use. These symbols, known as variables in elementary algebra, indicate quantities with no set values. Equations in mathematics express relationships between variables in the same way that sentences indicate relationships between specific words.
The expression is given in the question, as follows:
(x-4)²
As we know that the sum of square identity (a-b)² = a² + b² - 2ab
So x² + (4)² - (2)(x)(4)
x² -8x + 16 or
x² + 16 -8x
This expression is equivalent to the given expression.
Hence, the correct answer would be an option (C).
To learn more about the Algebra link is given below.
brainly.com/question/953809
#SPJ2
-8÷+12×9-4×6÷56÷7×2
Answer:
[tex] \frac{ - 300}{49} [/tex]
or -6.122
Step-by-step explanation:
In answering this kind of questions, you must take note of BODMAS. that is;
B - Bracket
O - Of (multiplication)
D - Division
M - Multiplication
A - Addition
S - Subtraction
and you have to answer by the order above to get the correct answer. thank you
hope it helps .
Answer:
-6 176/189
Step-by-step explanation:
-8÷+12×9-4×6÷56÷7×2=
-8÷108- 24÷56÷14=
-2/27-24×14÷56=
-2/27- 48/7=
-7 + 1/7- 2/27=
-7 + (27-14)/27*7=
-7+ 13/189=
-6 176/189
A box contains 20 different balls numbered from 1 to 20 (different balls have different numbers). At each step, we select a ball uniformly at random, record the number on it, and put it back in the box. This experiment is repeated 10 times. Find the probability that all the numbers recorded were distinct.
Answer:
P = 0.0655
Step-by-step explanation:
First, we are going to calculate the number of ways in which we can select the 10 balls. This is calculated using the rule of multiplication as:
[tex]T=20*20*20*20*20*20*20*20*20*20\\T=20^{10}\\T=1.024*10^{13}[/tex]
Because we have 20 different balls every time and the experiment is repeated 10 times.
Then, from that [tex]1.024*10^{13}[/tex] ways, there are C ways where all the numbers recorded are distinct. It is calculated as:
[tex]C = 20*19*18*17*16*15*14*13*12*11\\C = 6.704*10^{11}[/tex]
Because, the first time, we have 20 options, the second time, we can just select 19 balls because we can not repeat the numbers, the third time, we can just select 18 balls and we need to keep doing this until get to the 10th time.
Finally, the probability that all the numbers recorded were distinct is calculated as C/T and it is equal to:
[tex]P=\frac{C}{T}=\frac{6.704*10^{11}}{1.024*10^{13}} =0.0655[/tex]