The answer to this question is:
No. of cups of milk will Paula use = 3/8
Given that recipe requires 3/4 cups of milk.
Paula is making half (1/2) of the recipe.
And we are asked to find that No. of cups of milk will Paula use.
To solve this question, we have to multiply the quantity of milk required by the quantity she is going to make.
The quantity of milk required * the quantity she is going to make
= 3/4 * 1/2
= 3/8
Therefore, No. of cups of milk will Paula use = 3/8
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7/10-?=7x10^? Pls I need answer asap thx
The complete representation of the expression is 7/ 10^-1 = 7 x 10^1
What are index forms?Index forms are simply defined as the exponent or power of a number raised to a variable or number.
It is known as the standard form of a number.
It is also known as the exponential representation of an expression or number .
Example;
The index form of 200 is 2 × 10^2
The index form of 40 is 4 × 10 ^1
Given the expression;
7/10- = 7x10^
We have;
7/ 10^-1 = 7 x 10^1
Thus, the complete representation of the expression is 7/ 10^-1 = 7 x 10^1
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Solve. Check for extraneous solutions. √x=√x-8+2
x = 9 is not an extraneous solution of the equation.
√x=√(x-8) + 2
Squaring both the sides of the equation, we get
(√x)² = (√(x-8)+2)²
x = (✓(x - 8))² + 2² + 2(✓(x - 8))(2)
x = x - 8 + 4 + 2(✓(x - 8))(2)
Subtracting x on both the sides of the equation, we get
- 4 + 2(✓(x - 8))(2) = 0
Adding 4 on both the sides of the equation, we get
4(✓(x - 8)) = 4
Dividing both sides of the equation by 4, we get
(✓(x - 8)) = 1
Squaring again on both the sides of the equation
x - 8 = 1
x = 9
Check for extraneous solution by putting the value of x = 9 in the original equation, we get
✓9 = ✓(9 - 8) + 2
✓9 = ✓1 + 2
3 = 1 + 2
3 = 3
⇒ LHS = RHS
∴ x = 9 is not an extraneous solution of the equation.
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whats the answer to this problem -10+7/4p=-38
b. Without doing the calculation, what is greatest number of restrictions the quotient x²+8 x+7 / x²-x-12 ÷ x²+2 x-8 / x²+13 x+24 could have? Explain.
According to the question, the given rational expression can be simplified which is shown below:
Rational expression = [tex](\frac{x^{2}+8x+7}{x^{2} -x-12)} /(\frac{x^{2} +2x-8}{x^{2} +13x+24} )[/tex]
To simplify the given rational expression which is also an polynomial expression by the method of factors rule. Performing factors on numerator as well as on denominator. And later divide them with each other.
Rational expression = [tex](\frac{(x+7)(x+1)}{(x-4)(x+3)}) /(\frac{(x+4)(x-2)}{x^{2} +13x+24} )[/tex]
The factors of the denominator term is not possible. Therefore, the given expression cannot be simplified.
What is polynomial expression?
Polynomial expression are those equation whose highest degree is two. It is also called as quadratic equation. And it is simplified by performing the factors on the given expressions.
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Solve each inequality.
||3x −1|+5| <1
The solution for the x for the inequality ||3x −1|+5| <1 is x<7/3
In the given problem basically, ||3x −1|+5| <1, we are dealing with the absolute value, which for real numbers is referred to as the non-negative value of that number without regard for consideration to its sign. Denoted by the symbol "| |', it is also known as the modulus of the number, and also with the inequality, which is a non-equal comparison between two numbers, additional mathematical expressions.
the inequality equation we got is ||3x-1|+5|<1
now we are taking the absolute value of it, we get
=>3x + 1 + 5 < 1
subtracting 1, and 5 from both sides, we get
=>3x < 1 + 5 + 1
=>3x < 7
=>x < 7/ 3
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what if f(x)=3x+4 then f(n+3)=
Answer:
f(n + 3) = 3n + 13
Step-by-step explanation:
f(x)=3x+4 then f(n+3)=
f(n + 3) = 3(n + 3) + 4
f(n + 3) = 3n + 9 + 4
f(n + 3) = 3n + 13
I hope this helps!
What is 362584 rounded to the nearest thousand
Evaluate the expression a²-4ab + c²
if a = -2, b = 5 and c = -3.
BiUF = = A
Answer: 53
Given, expression:
a²- 4ab + c²Given values: a = -2, b = 5, c = -3
Substitute them inside the expression:
(-2)²- 4(-2)(5) + (-3)²distribute
(-2)²+ 40 + (-3)²evaluate
4 + 40 + 9simplify
53What is the function rule for a quadrilateral that is rotated 180 degrees, translated four units to the left, and then reflected across the Y axis?
The function rule for a quadrilateral that is rotated 180 degrees, translated four units to the left, and then reflected across the y axis is (x, y) ⇒ (x + 4, -y)
What is transformation?Transformation is the movement of a plane figure from one point to another. Transformation may also be an increase / decrease in the size of the figure. Examples of transformation are reflection, rotation, translation and dilation.
Dilation is the increase or decrease in size of a figure by a scale factor.
The function rule for a quadrilateral that is rotated 180 degrees, translated four units to the left, and then reflected across the y axis is (x, y) ⇒ (x + 4, -y)
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Tony started to work at a company in the year 2001. His yearly salary was $26,500. At the beginning of the next year he received a $2,880 raise. Assume that he receives the same raise each year. Write a function to find Tony’s salary n years after 2001.
Answer:
y=2880x+26500
Step-by-step explanation:
Basically, this question wants you to write an equation where you can figure out how much money Tony has at any year.
1. They already told us how much the raise was: $2880
2. He started off with $26,500, so we know we have to add that at the beginning. That is our y-intercept.
3. A function is written as y=mx+b. Y is what you are solving for. M is the constant change (x doesn't mean anything, it just tells us which number is m). B is the y-intercept, which is 26,500 in this case. Its what you are starting with. If he had no money, there would be nothing to start with. There would be no y-intercept.
4. Because he gets the same raise every year of 2880, that is constant. It does not change, but it increases constantly.
5. So, y=2880x+26500 is your answer.
A speed camera takes two phots of a car. photo 2 is taken 0.5 seconds after photo 1. marks on the road are 0.8 metres apart. calculate the average speed of the car in m/s
The average speed of car is 14.4 m/s.
We can see that from Photo 1 to Photo 2, the car covers 9 times the 0.8 meter distance. So, calculating the total distance traveled between the time span second photo was clicked.
Total distance traveled = 0.8×9
Performing multiplication
Total distance traveled = 7.2 meters
Now, the time is given as 0.5 seconds.
Finding the average speed using formula -
Average speed = total distance traveled ÷ total time taken
Keep the given values in formula to find the average speed.
Average speed = 7.2 ÷ 0.5
Performing division
Average speed = 14.4 m/s
Hence, the average speed of the car is 14.4 m/s
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The complete question is attached in figure.
three different angle in the diagram
Answer:
[tex] <por = x \: \: \: < ros = \beta \: \: \: pos = \gamma [/tex]
A car rental company charges a rental fee of $45.
Additionally, they charge $15 per hour. How many hours will
it take for the total cost to be $105?
what is 209.3 ÷ 80 i need the answer
Answer:
2.61625
Step-by-step explanation:
Identify whether each cube root or square root lies between 2 and 3, 4 and 5, or 9 and 10
It should be noted that the square root and the cube root of the number has been attached.
How to illustrate the information?It should be here that the cube root of a number is the factor that we multiply by itself three times in order to get the original number.
It should be noted that thee symbol for cube root is 3✓ . Finding the cube root of a number is the opposite of cubing a number.
On the other hand, the square root of a number x is a number y such that y² = x; in other words, a number y whose square is x.
It shouod be noted that for example, 4 and −4 are square roots of 16, because 4² = ² = 16.
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mode of 75 55 68 44 82 28 19 31 75 36 59 93 48
Answer:
75
Step-by-step explanation:
In math, mode is the number which appears most in the data set. When dealing with this, first put all of the numbers in numerical order, least to greatest.
19, 28, 31, 36, 44, 48, 55, 59, 68, 75, 75, 82, 93
Notice how 75 appear twice and all the other numbers appear once. Therefore the mode is 75.
5004300 in standard form
Answer:
5004300
Step-by-step explanation:
This number is already in standard form, but I can help if you want it in scientific notation, etc.
Please help me please help me please help me
Answer:
270
Step-by-step explanation:
With a 270 rotation you move 3 boxes
You work for a wedding planner and have been asked to buy material for the table runners. Each runner is 4 feet long
and 8 inches wide. How much decorative material do you need, in square inches, for the top of each table runner?
32
40
64
120
384
Answer:
4*12=48
48*8=384
384 square inches
A savings account begins with $ 14.00 . After 1 year, the account has a balance of $ 16.24 . After 2 years, the account has a balance of $ 18.84 . Assuming no additional deposits or withdraws are made, find the equation for the best-fitting exponential function to represent the balance of the account after x years. How much money will be in the account after 20 years?
The exponential function for to represent the balance of the account will be y = 14 ( 1.16) ˣ
We have that:
The saving account has initially = $ 14
After 1 year, the balance became = $ 16.24
After 2 years, the balance became = $ 18.84
Difference in the initial amount and amount after 1 year = $ 16.24 - $ 14 = $ 2.24
Difference in the amount after 1 year and amount after 2 years = $ 18.84 - $ 16.24 = $ 2.60.
An exponential function is defined as y = a ˣ where x is a variable, and a is a constant called the base of the function.
Here, the exponential function will be:
y = 14 ( 1.16) ˣ where x is the time period
Money after 20 years = 14 ( 1.16)²⁰ = $ 272.45
Therefore, we get that, the exponential function for to represent the balance of the account will be y = 14 ( 1.16) ˣ
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Let's start by reviewing how to graph inequalities.
-5
-3
-2 -10
When the endpoint is a(n)
number represented by the endpoint
a part of the solution set.
3
dot or circle, the
When the endpoint is a(n) open dot or circle, the number represented by the endpoint is not a part of the solution set.
What is a number line?A number line is a vertical or horizontal line that has endpoints and it is used to represent numbers at a constant interval
How to complete the blank statementFrom the number line in the question, we can see that:
The endpoint of the circle is an open circleThe arrow points to the rightAs a general rule, open circles implies that the number at that endpoint is not included part of the solution set.
Hence, the complete statement is "when the endpoint is a(n) open dot or circle, the number represented by the endpoint is not a part of the solution set."
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which one is right guys helppp
The linear equation of the graph is y = x - 5
What are linear equations?Linear equations are equations that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient
How to determine the linear equation?The graph represents the given parameter
On the graph, we have the following points
(x, y) = (1, -4) and (5, 0)
Calculate the slope (m) using
m = (y2 - y1)/(x2 - x1)
So, we have
m = (0 + 4)/(5 - 1)
Evaluate
m = 1
The equation is then calculated as
y = m(x - x1) + y1
So, we have
y = 1 * (x - 5) + 0
Evaluate
y = x - 5
Hence, the linear equation of the graph is y = x - 5
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The mathematical relationship between the total cost for a person to bowl at the local bowling alley and the number of games played is represented by y = 3.50x + 6.00. explain how you can use this linear function to find out how many games you can bowl for $34.
The number of bowling games played for $34 is 8
The mathematical relationship between the total cost for a person to bowl at the local bowling alley and the number of games played is represented by linear equation y = 3.50x + 6.00
We are given that total money spent is $34
The number of bowling games played is assumed to be x
Now, we have substitute the value of y in the linear equation to get number of bowling games played
34 = 3.50x +6.00
34 - 6 = 3.50 x
28 = 3.5x
x = 28/ 3.5
x = 8
So, the number of bowling games played for $34 is 8
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Help please I don’t know what to do
Answer:
no
Step-by-step explanation:
half of 250k would be 125k and if you add that to 250k that would be 375k
WILL GIVE BRAINLIESTTT
The graph of g(x) = -3(x-4)2 + 5 is translated 6 units left. What is the value of
h when the equation of the transformed graph is written in vertex form?
Step-by-step explanation:
the vertex form is
y = a(x - h)² + k
a is a stretch factor, (h, k) are the coordinates of the vertex of the parabola.
so, the original x-coordinate of the vertex was 4.
when we move it 6 units to the left. we subtract 6 from the x-coordinate.
that makes the new h
4 - 6 = -2
answer B is correct.
and the equation of the translated function is
g(x) = -3(x + 2)² + 5
if -5c+6 =-69 what is the value of 6c - 15
In a class of students, the following data table summarizes how many students play an instrument or a sport. What is the probability that a student chosen randomly from the class plays a sport or an instrument?
The 50% probability that a student chosen randomly from the class does not play a sport.
According to the statement
We have to find that the probability.
So, For this purpose, we know that the
Probability is that the branch of mathematics that studies the possible outcomes of given events along with the outcomes' relative likelihoods and distributions.
From the given information:
In a class of scholars, the subsequent data table summarizes what percentage students play an instrument or a sport.
Then
In total, there are 8 + 7 + 3 + 12 = 30 students.
And Of this total, 3 + 12 = 15 don't play a sport.
Then
Probability = 15/30
Probability = 0.5
Then
50% probability that a student chosen randomly from the class does not play a sport.
So, The 50% probability that a student chosen randomly from the class does not play a sport.
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D CONGRUENCE 3 Calculate the values of x, y and z in the triangle below. 3 cm 5 cm x cm- 4 cm 2 cm -ycm->
Answer:
Step-by-step explanation:
Find the inverse of each function. Is the inverse a function?
y=2 x-1
The inverse function returns the original value for which the output of a function was given.
The inverse the function y = 2x + 1 is [tex]y^{-1[/tex] = x + 1/ 2.
What is meant by inverse?Every logarithmic function has an exponential inverse, and vice versa.
An exponential function is a mathematical function with the formula f(x) = ax, where "x" is a variable and "a" is a constant that is called the function's base and must be greater than zero.
The transcendental number e, which is approximately equal to 2.71828, is the most commonly used exponential function base.
Let the equation be y = 2x + 1
y = 2x + 1
simplifying the equation, we get
⇒ 2x = y+1
⇒ x = y+1/ 2
Therefore, the inverse is [tex]y^{-1[/tex] = x+1/ 2
Let the composition function be
[y ₀ [tex]y^{-1[/tex]] (x) = y (x+1/2)
simplifying the above equation
[y ₀ [tex]y^{-1[/tex]] (x) = 2 (x+1/2)-1
[y ₀ [tex]y^{-1[/tex]] (x) = x
The inverse of y is the image of y in the line y = x.
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Please help me out please please please
Answer:
-18 + 30 s - 72 t + 12 u
Step-by-step explanation:
Expand the following:
-6 (3 - 5 s + 12 t - 2 u)
-6 (3 - 5 s + 12 t - 2 u) = -6×3 - 6 (-5 s) - 6×12 t - 6 (-2 u):
-6×3 - 6 (-5) s - 6×12 t - 6 (-2) u
-6×3 = -18:
-18 - 6 (-5) s - 6×12 t - 6 (-2) u
-6 (-5) = 30:
-18 + 30 s - 6×12 t - 6 (-2) u
-6×12 = -72:
-18 + 30 s + -72 t - 6 (-2) u
-6 (-2) = 12:
Answer: -18 + 30 s - 72 t + 12 u