a) The total time taken in hours is 0.75 hours
b) The amount of all-purpose flour needed is not given in the question.
c) The thickness of the dough in centimetres is not given.
d) The amount of salt needed per scone is not given.
e) The amount of butter needed per scone is not given.
f) It will be ready for consumption by 15:30
g) 356°F in °C can be calculated using the formula:
°C = (356°F - 32°) / 1.8 = 180°C.
Step by step explanationa) Total preparation and cooking time = 30 minutes + 15 minutes = 45 minutes = 0.75 hours
b) To bake 36 scones, we need:
36 scones * all-purpose flour needed to bake 1 scone = all-purpose flour needed to bake 36 scones
The amount of all-purpose flour needed is not given.
c) The thickness of the dough in centimetres is not given.
d) Mrs. Msimango baked 48 scones, so the number of teaspoons of salt required would be:
48 scones * teaspoons of salt needed per scone = teaspoons of salt needed for 48 scones
The amount of salt needed per scone is not given.
e) Mrs. Msimango baked 48 scones, so the number of millilitres of butter required would be:
48 scones * ml of butter needed per scone = ml of butter needed for 48 scones
The amount of butter needed per scone is not given.
f) If Mrs. Msimango started making the scones at 14:55, they would be ready to eat at 14:55 + 0.75 hours = 15:30.
g) 356°F in °C can be calculated using the formula:
°C = (356°F - 32°) / 1.8 = 180°C
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50 Points! Multiple choice algebra question. Photo attached. Thank you!
Log22/Log9 express log_9 22 in terms of common logarithms
What is common logarithms?Common logarithms, is commonly describd as base-10 logarithms.
It is a type of logarithm that involve taking the logarithm of a number with respect to the base of 10.
This means that common logarithms show how many powers of ten must be increased to get a particular number. The usual logarithm of 100, for example, is 2, because 10 raised to the power of 2 equals 100.
The answer provided is based on the full question below;
-------------express log_9 22 in terms of common logarithms
a. Log 22/9
b. Log 198
c. Log22/Log9
d. Log9/Log22
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Help asap 30 points!!!!
A company manufactures square floor tiles of area 625cm ^ 2 If the manufacturing error tolerance in the area of a tile is +/- 5cm ^ 2 , how close to the ideal length should each tile be controlled?
Considering the area of a square, the measure of how close to the ideal length should each tile be controlled is of:
A. 0.098 cm.
How to calculate the area of a square?The area of a square of side length s is given by the square of the side length, hence the equation is:
A = s².
For a floor with area of 625 cm², the side length is:
s² = 625
s = square root of 625
s = 25 cm.
Considering the error tolerance, the possible areas are given as follows:
Smallest area: 620 cm².Largest area: 630 cm².The side length for the smallest area would be of:
s² = 620
s = square root of 620
s = 24.90 cm.
The side length for the largest area would be of:
s² = 630
s = square root of 630
s = 25.098 cm.
The smallest difference, from the side lengths with tolerance to the standard side length, is of:
25.098 - 25 = 0.098 cm.
Meaning that option A is the correct option.
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a student runs an experiment to test how microwave power and temperature affect popping. each bag of popcorn can be popped for 3 minutes or 4 minutes. the microwave power can be set to low, medium, and high. each combination of time and power is tested on one bag of popcorn and the number of unpopped kernels is recorded. The number of treatments in this experiment are:
• 12
• 6
• 4
Option • 12 is the answer .The number of treatments in the experiment is 12.
The understudy is directing a trial to comprehend the connection between microwave power and time on the quantity of unpopped bits in a pack of popcorn. There are three degrees of microwave power: low, medium, and high. Each sack of popcorn can be popped for either 3 minutes or 4 minutes, which provides us with a sum of double cross variables. To cover every one of the potential mixes of time and power, the understudy runs 12 distinct medicines (3 degrees of force x 2 degrees of time). Every treatment addresses one sack of popcorn that is popped for a particular time frame and with a particular power setting. The quantity of unpopped parts is recorded for every treatment, and the outcomes are utilized to make determinations about the impacts of microwave power and time on the quantity of unpopped pieces.
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What’s the answer to this
Find the inverse of f(x) = √9 - x - 8
he roots of the function f(x) = x2 – 2x – 3 are shown. What is the missing number?
x = –1 and x =
Consider the sequence of steps to solve the equation:
X-3
—— = x +3
3
Step 1 = X-3 = 3(x + 3)
Step 2 = X-3 - 3x + 9
Step 3 = x= 3x + 12
Step 4 = -2x = 12
Step 5 = x= -6
Identify the property of equality which yields Step 1.
A)
Division Property
B)
Addition Property
C)
Subtraction Property
D)
Multiplication Property
The function ƒ(x) is a translation of the exponential function g(x) = 6x. What's ƒ(x) if the translation is down 3 units and right 7 units?
Answer:
f(x) = 6ˣ⁻⁷-3
Step-by-step explanation:
The basic transformations of an exponential function from the parent function can be given by the equation:
f(x) = b^x [parent exponential function]
f(x) = ab^((x/c)-h) + k [transformation of parent exponential function]
Where b is the parent growth or decay, a is the vertical stretch or compression, c is the horizontal stretch or compression, h is the horizontal translation, and k is the vertical translation.
Given a translation down 3 units, and another translation right 7 units, we are only using h, and k.
Given that our original function is g(x) = 6ˣ. We know our parental growth or b is 6. So just substitute our quantities and solve:
f(x) = g(x-7) - 3 → (1)6^((x/1)-7) - 3 → 6^(x-7) - 3 → 6ˣ⁻⁷-3.
Answer:
f(x) = 6ˣ⁻⁷-3
Step-by-step explanation: I took the test
Un bloque de vidrio flint tiene un espesor de 4 cm, ¿qué espesor aparenta tener cuando se le ve desde arriba?
Answer: El índice de refracción del vidrio flint es mayor que el del aire. Cuando la luz pasa de un medio con un índice de refracción menor (como el aire) a un medio con un índice de refracción mayor (como el vidrio), experimenta un cambio de dirección. Este fenómeno se conoce como refracción.
Cuando observamos el bloque de vidrio flint desde arriba, la luz que proviene del bloque sufre refracción al pasar del vidrio al aire. Debido a la refracción, los rayos de luz se desvían y parecen venir de una posición más alta dentro del vidrio de lo que realmente están. Esto crea una ilusión óptica que hace que el espesor aparente del bloque de vidrio se vea más delgado de lo que realmente es.
La cantidad exacta de adelgazamiento aparente depende del ángulo de incidencia de la luz y de los índices de refracción del vidrio y el aire. Sin más información, no es posible determinar el espesor aparente específico del bloque de vidrio flint cuando se ve desde arriba.
Step-by-step explanation:
What are the intercepts of the graph of
the equation 4y - x = 8
Answer:
x intercept: (-8,0)
y intercept: (0,2)
What is g (f (4))? HELP ME PLEASEEEEEEEE
Answer:
10
Step-by-step explanation:
So lets take it step by step....
Let's solve for the inner function first f(4). Look at the chart where x is = 4.
f(4) = 6.
Now, f(4), which is 6, will be used to determine the value of g(f(4)) which is basically g(6).
g(6) = 10
Given ABC with incenter D, find mACD if mACB = 3x + 54 and m ACD = x + 31.
Given:
In triangle ABC, D is incenter m∠ACB = 3x + 54 and m∠ACD = x + 31.
To find:
m∠ACD.
Solution:
We know that,
Incenter of a triangle is the intersection point of all angle bisectors.
\(\angle ACD=\angle BCD\) ...(i)
Now,
\(\angle ACB=\angle ACD+\angle BCD\)
\(\angle ACB=\angle ACD+\angle ACD\) [Using (i)]
\(\angle ACB=2\angle ACD\)
Substitute the values, we get
\(3x+54=2(x+31)\)
\(3x+54=2x+62\)
\(3x-2x=62-54\)
\(x=8\)
The value of x is 8.
\(m\angle ACD=x+31\)
\(m\angle ACD=8+31\)
\(m\angle ACD=39\)
Therefore, the measure of angle ACD is 39 degrees.
what is 3 x 5 what does it equal
Answer:
3 x 5= 15
Step-by-step explanation:
If you count by 5's like 5, 10, 15, 20
And if you count by 3's: 3, 6, 9, 12, 15
then find the least common multiple and it is 15
Please mark me as the Branlyest ;) Thanks
Answer:
3 x 5 = 15
Step-by-step explanation:
3 + 3 + 3 + 3 + 3 = 15
I hope this helps!
five times the difference of a number and 3 is the same as 3 increased by 5 times the number plus three times the number. find the number
Step-by-step explanation:
5(x - 3) = 3 + 5x + 3x
5x - 15 = 3 + 8x
5x - 8x = 3 + 15
-3x = 18
x = 18/-3
x = -6
The number in the given word problem is -6.
Word problem involves word phrases that can be translated into algebraic equations.In the given word problem, to find the unknown number, let's translate the statements to algebraic equation.
Thus:
Let,unknown number = x
Therefore:
Difference of the number and 3 = (x - 3)5 times (x - 3) = \(5 \times (x -3)\) 5 times the number = 5x3 times the number = 3x3 increased by (5x + 3x) = \(3 + (5x + 3x)\)The equation would be:\(5 \times (x - 3) = 3 + (5x + 3x)\)
Solve for x\(5x - 15 = 3 + 8x\)
Collect like terms\(5x - 8x= 3 + 15\\\\-3x = 18\\\\\)
Divide both sides by -3\(x = -6\)
Therefore, the value of the number is -6.
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Reasonable definitions of the decision variables are:________
a) x subscript 11 household without children under 16 and without premium subscription
x subscript 12 household without children under 16 but with premium subscription
x subscript 21 household with children under 16 but without premium subscription
x subscript 22 household with children under 16 and with premium subscription
b) x subscript 11 number of interviewed households without children under 16 and without premium subscription
x subscript 12 number of interviewed households without children under 16 but with premium subscription
x subscript 21 number of interviewed households with children under 16 but without premium subscription
x subscript 22 number of interviewed households with children under 16 and with premium subscription
c) x subscript 11 cost of interviewing a household without children under 16 and without premium subscription
x subscript 12 cost of interviewing a household without children under 16 but with premium subscription
x subscript 21 cost of interviewing a household with children under 16 but without premium subscription
x subscript 22 cost of interviewing a household with children under 16 and with premium subscription
d) All of the above are reasonable definitions.
e) None of the above.
Answer:
The correct answer is A.
Step-by-step explanation:
Decision variable are the numbers which are determined by the decision makers. This enables to identify the different possible events that might occur. The decision makers then select a number and identifies the possible occurrence of the events.
A {(2,1),(4, 1), (6, 1), (8, 1)} 4) Choose the set that is a function. B) {(2,1),(4,3), (6,5), (2,7)} {(2, 1), (4, 1), (2, 5), (4,7)} D) {(2, 1), (2, 3), (2, 5), (2,7)}
we know that
A function is a binary relation over two sets that associates every element of the first set, to exactly one element of the second set
so
For one value of x there is only one value of y
Verify each options
Option A
The option A is a function
Option B
Is not a function , because we have the points (2,1) and (2,7)
one value of x and there are two values of y
Option C
Is not a function , because we have
(2,1) and (2,5) -----> one value of x and to values of y
(4,1) and (4,7) --> one value of x and to values of y
Option D
Is not a function ------> one value of x and 4 values of y
therefore
the answer is the option A
Mr. Simpson’s faucet is leaking. It leaks 3/4 cup of water every 1/2 hour
Answer:
3/2 or 1.5 each hour
Step-by-step explanation:
3/4/1/2
=6/4
=3/2
=1.5
or
3/4*2=
1.5
Refer to the figure and provide an appropriate name for ACK and FHJ
PLEASE HELP LAST QUESTION
Answer: C
Step-by-step explanation:
They are alternate interior angles.
using the line of best fit
The monthly cell phone bill when shared data equals zero is given as follows:
$26.
How to define a linear function?The slope-intercept representation of a linear function is given by the equation presented as follows:
y = mx + b
The coefficients of the function and their meaning are described as follows:
m is the slope of the function, representing the change in the output variable y when the input variable x is increased by one.b is the y-intercept of the function, which is the initial value of the function, i.e., the numeric value of the function when the input variable x assumes a value of 0. On a graph, it is the value of y when the graph of the function crosses the y-axis.The intercept of the line in this problem is given as follows:
b = 26.
Hence $26 is the monthly cell phone bill when shared data equals zero.
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Please answer this :)
Answer:
one option could be for the first box 5 and 9 and in the next box 15 and 27 bc u can scale factor it by 3
Step-by-step explanation:
Alina wants to make keepsake boxes for her two best friends. She doesn't have a lot of money, so she wants to make each box described so that it holds as much as possible with a limited amount of material.
For Jen, Alina wants to make a box with a square base whose sides and base are made of wood and whose top is made of metal. The wood she wants to use costs 5 cents per square inch, while the material for the metal top costs 12 cents per square inch. What is the largest possible box (in terms of volume measured in cubic inches) that Alina can make for Jen if she only has $30.00 to spend on materials? (Round your answer to three decimal places.)
Answer:
So Alina can make a box with dimensions 8.445 inches by 8.445 inches by 8.445 inches (with a metal top) that will hold approximately 606.526 cubic inches.
Step-by-step explanation:
Let's assume that the length of one side of the square base of the box is "x". Then the height of the box is also "x" to maximize the volume.
The surface area of the box (excluding the top) is given by:
2(x^2) + 4(x^2) = 6(x^2)
The surface area of the metal top is:
x^2
The total surface area of the box is the sum of the surface area of the box and the surface area of the metal top:
6(x^2) + x^2 = 7(x^2)
The cost of the wood for the box is:
5 cents per square inch * 6(x^2) = 30x^2 cents
The cost of the metal for the top is:
12 cents per square inch * x^2 = 12x^2 cents
The total cost of the box is:
30x^2 + 12x^2 = 42x^2 cents
We want to find the maximum volume of the box that can be made with $30, which is 3000 cents. Therefore, we can set up the equation:
42x^2 = 3000
Solving for x, we get:
x^2 = 71.429
x ≈ 8.445
Therefore, the maximum volume of the box is:
V = x^2 * x = (8.445)^3 ≈ 606.526 cubic inches.
So Alina can make a box with dimensions 8.445 inches by 8.445 inches by 8.445 inches (with a metal top) that will hold approximately 606.526 cubic inches.
Each week, Christian earns $x fixing bicycles and receives $10 as his allowance.
To find how much he will earn in total over 2 weeks, Christian calculates the following:
x + 10 + x + 10
What is another way Christian can calculate how much he will earn in total over the 2 weeks?
Drag and drop the equivalent expression in the box.
Answer:
2(x+10)
Step-by-step explanation:
x + 10 + x + 10 is the same as 2 times the expression x + 10
This can be written as 2(x+10)
-Chetan K
Answer: 2(x+10)
Step-by-step explanation:
x + 10 + x + 10 is the same as 2 times the expression x + 10
This can be written as 2(x+10)
1/3 1/4 3/8 7/24 5/12 which is the biggest
Answer: 5/12
Step-by-step explanation:
Answer:
Step-by-step explanation:
5/12 is the biggest
Two vacationing families leave New York at the same time. They take 20 and 6 days, respectively, to reach their destination and return to New York. The vacationing families each take continuous trips to and from New York. How many days will pass before the two vacationing families leave New York on the same day again?
Answer:
Step-by-step explanation: evagline has 3/5 of box of nuts.she uses it to fill 6 bowls
A shoe store recorded the price (in dollars) of 175 pairs of women's shoes and 175 pairs of men's shoes. The data collected was used to create the following table.
Answer:
Most of the mens shoes in the data sets cost more than the womens shoes
Step-by-step explanation:
i did this and got it correct
Add. (−5x4+6x2−43)+(6x4−x2+12x+12) Express the answer in standard form. Enter your answer in the box.
Answer:
x^2+12x-15
Step-by-step explanation:
Answer:
Step-by-step explanation:
(-5x4+6x2-43)+(6x4-x2+12x+12)
(x4+5x2+12x-31)
What is the measure of gef
The sum of two numbers is 66 and the difference is 14. What are the numbers!?
Larger number :
Smaller number!?
Answer:
66 and 52?
Step-by-step explanation:
Help me solve this, it’s trig
Answer:
The answer is 6.451 or 6.5 rounded
Step-by-step explanation:
The way to solve this is to find all the degrees inside the triangle first
you have two given degrees which are 21 and 90 degrees
add those numbers up and subtract it from 180. That is the last corner degree
you then use that information to find all the side lengths using the given hypotenuse length.
Btw its geometry not really trig.
Answer: 6.45 units
Step-by-step explanation:
To solve for x, we will set up an equation using the trigonometric functions. We are given an angle (21 degrees), the opposite side of that angle (x), and the hypotenuse (18). For this, we will use the sine function.
sin(21) = \(\frac{opposite}{hypotenuse }\)
sin(21) = \(\frac{x}{18}\)
18sin(21) = x
x = 18sin(21)
x = 6.4506230 ≈ 6.45 units
Choose the definition for the function.
A.
C.
4x
2x + 2
-
43 2
73
2x - 2
-x-4
if x < 0
if x ≥ 0
if x < 0
if x > 0
B.
D.
2x + 2
-x+4
-x + 4
2x + 2
if x ≤ 0
if x > 0
if x < 0
if x > 0
Enter
The piecewise function for this problem is defined as follows:
B.
y = 2x + 2, x ≤ 0.y = -4/3x + 4, x > 0.How to define the function?The function is a piecewise function, as the function has different definitions based on the input of the function.
The different definitions for the graph are given as follows:
Left of x = 0. (closed). Right of x = 0. (open).To the left of x = 0, we have a linear function with intercept of 2 and slope of 2, hence it is given as follows:
y = 2x + 2, x ≤ 0.
To the right of x = 0, we have a linear function with intercept of 4 and slope of -4/3, hence it is given as follows:
y = -4/3x + 4, x > 0.
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