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Answer: [tex]\textsf{285 total calories}[/tex]
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Given: [tex]\textsf{1 egg = 95 calories}[/tex]
Find: [tex]\textsf{Calories in 3 eggs}[/tex]
Solution: In order to determine the total amount of calories in 3 eggs we must multiply the amount of calories in one egg by 3. So we do 95 * 3 which gives us 285 total calories.
Find all real zeros of the function y= -9x - 1
A. -9
B. - 1/9
C. 1/9
D. -9, -1
Answer: -1/9 which is choice B
Explanation:
The term "zeros" refers to the x intercepts.
Plug in y = 0 and solve for x.
y = -9x-1
0 = -9x - 1
9x = -1
x = -1/9
What value of n makes the equation true?
(2x^9y^n) (4x²y^10)-8x^11 y^20
1
2
10
30
1(2x^9y^n) (4x²y^10)-8x^11 y^20
1
2
10
30
(2x^9y^n) (4x²y^10)-8x^11 y^20 i say the answer 1 or 10
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(2x^9y^n) (4x²y^10)-8x^11 y^20
1
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(2x^9y^n) (4x²y^10)-8x^11 y^20
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(2x^9y^n) (4x²y^10)-8x^11 y^20
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(2x^9y^n) (4x²y^10)-8x^11 y^20
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(2x^9y^n) (4x²y^10)-8x^11 y^20
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(2x^9y^n) (4x²y^10)-8x^11 y^20
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(2x^9y^n) (4x²y^10)-8x^11 y^20
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(2x^9y^n) (4x²y^10)-8x^11 y^20
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(2x^9y^n) (4x²y^10)-8x^11 y^20
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(2x^9y^n) (4x²y^10)-8x^11 y^20
1
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(2x^9y^n) (4x²y^10)-8x^11 y^20
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(2x^9y^n) (4x²y^10)-8x^11 y^20
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(2x^9y^n) (4x²y^10)-8x^11 y^20
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2
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(2x^9y^n) (4x²y^10)-8x^11 y^20
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2
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(2x^9y^n) (4x²y^10)-8x^11 y^20
1
2
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30
(2x^9y^n) (4x²y^10)-8x^11 y^20
1
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(2x^9y^n) (4x²y^10)-8x^11 y^20
1
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(2x^9y^n) (4x²y^10)-8x^11 y^20
1
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(2x^9y^n) (4x²y^10)-8x^11 y^20
1
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30
Answer:
C: 10
Step-by-step explanation:
Edge 2022
The midpoint of the line segment from P₁ to P₂ is (-4,1). If P₁ = (-9,5), what is P2?
[tex] - 4 = \frac{ - 9 + x}{2} \\ - 8 = - 9 + x \\ x = 1[/tex]
[tex]1 = \frac{5 + y}{2} \\ 2 = 5 + y \\ y = - 3[/tex]
P² ( 1 , -3 )Which expression is a polynomial?
–13
Polynomials are algebraic expressions whose standard form is defined below:
[tex]p(x) = \sum \limit_{i=0}^{n} c_{i}\cdot x^{i}[/tex]
The expression p(x) = - 13 represents a zeroeth polynomial.
What is a polynomial?
Herein we must present what the form of polynomials are. Polynomials are algebraic expressions whose standard form is defined below:
[tex]p(x) = \sum \limit_{i=0}^{n} c_{i}\cdot x^{i}[/tex] (1)
Where:
[tex]c_{i}[/tex] - i-th coefficientn - Gradex - Independent variableAn example is the expression p(x) = - 13, real numbers can be define as zeroeth polynomials. In this regard, the example can be seen as:
p(x) = 0 · xⁿ + 0 · xⁿ⁻¹ + ... + 0 · x² + 0 · x - 13
RemarkThe statement is incomplete. We decided to re-define the statement to what polynomials are.
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Please solve this for me, thank you!
The answer to this question is y = 847728300000/1366991599
Given 4y/1.025⁴ ₊ y ₋ 2y × 1.05² = 1500
1. covert decimal to fraction
= 4y/(1025/1000)⁴ ₊ y ₋ 2y × (105/100)² = 1500
2. Calculate the power
4y/2825761/2560000 ₊ y ₋ 2y × 441/400 = 1500
3. Divide the fraction by multiplying its reciprocal
4y × 2560000/2825761 ₊ y ₋ 2y × 441/400 = 1500
4. Multiply the monomials
10240000/2825761 y ₊ y ₋ 2y × 441/400 =1500
5. Combine like terms
10240000/2825761 y ₊ y ₋ 441/200 y = 1500
1366991599/565152200 y = 1500
6. Divide both sides of the equation by the coefficient of variable.
y = 1366991599/565152200 × 1500
y = 847728300000/1366991599
Hence we get the final value as y = 847728300000/1366991599
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The cost in dollars of making x items is given by the function C(x)=10x+900 .
a. The fixed cost is determined when zero items are produced. Find the fixed cost for this item.
Fixed cost =$
c(0)=900
b. What is the cost of making 25 items?
C(25)=$
Number
c. Suppose the maximum cost allowed is $2400 . What are the domain and range of the cost function, C(x) ?
When you enter a number in your answer, do not enter any commas in that number. In other words if you want to enter one thousand, then type in 1000 and not 1,000. It's not possible to understand what the interval (1,000,2,000) means, so you should write that as (1000,2000).
For the given cost equation we have:
a) Fixed cost is $900.
b) For making 25 items the cost is $1150.
c) D: x ∈ [0, 150]
R: c ∈ [900, 2400]
Working with the cost equation.
Here we know that the cost equation is:
c(x) = 10*x + 900.
First, we want to get the fixed cost, it is given by evaluating the function in x = 0.
c(0) = 10*0 + 900 = 900
The fixed cost is 900.
b) Now we want to get the cost for making 25 items, to get this, we just evaluate in x = 25.
c(25) = 10*25 + 900 = 250 + 900 = 1150
c) Now, if the maximum cost is 2400, then the maximum number of items that we can make is x₀, such that:
c( x₀) = 2400 = 10*x₀ + 900
Solving for x₀ we get:
x₀ = (2400 - 900)/10 = 150
Now we want to get the range and domain.
We know that we can make between 0 and 150 items, so the domain is:
D: x ∈ [0, 150]
For the range, we know that the fixed cost for 0 items is 900, and the maximum cost is 2400, then the range is:
R: c ∈ [900, 2400]
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Giving brainliest to first accurate answer.
I believe the it would be 2x^2 + 6x + 20 = 0.
1. Write a linear equation with the given information
Through (4,-5), parallel to y = -x + 1(4 Points)
2. Write a linear equation with the given information
Through (2,-1), perpendicular to y = -2/3x + 5(4 Points)
(please step by step thank you)
1) The equation of the parallel line in Slope Intercept Form is; y = -x - 1
2) The equation of the perpendicular line in Slope Intercept Form is;
y = ³/₂x - 4
How to write equation in Slope Intercept Form?1) When two lines are parallel, it means their slopes are the same.
Formula for equation in slope intercept form is;
y = mx + c
where;
m is slope
c is y-intercept
Thus, slope of y = -x + 1 is m = -1.
Equation of parallel line is;
(y - (-5))/(x - 4) = -1
y + 5 = -x + 4
y = -x - 1
2) When two lines are perpendicular, it means their slopes are the negative inverse of each other. Thus;
Slope of line = -2/3 and so slope of perpendicular line = 3/2. Thus, equation of new line is;
(y + 1)/(x - 2) = 3/2
2y + 2 = 3x - 6
2y = 3x - 8
y = ³/₂x - 4
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I need help with this
Answer:
Minimum
Step-by-step explanation:
The equation is a quadratic function meaning the the shape is a parabola. The sign of x^2 is + so the graph open upward. Thus the vertex is the minimum point on the graph.
Brian wants to buy the latest iPhone for $1000. He has
$100 and earns $15 for 1 hour (h) of tutoring.
Enter the minimum number of hours Brian must tutor to
be able to buy the iPhone.
0000
15h+1001000, h-60
15h 100 1000, h>=60
15h 1001000, h>60
15h 100 1000, h-60
Answer:
Step-by-step explanation:
You work as an assistant for a local musical theatre group, the Main Street Theatre Company. The company is putting on a production of Les Misérables this year, and they need your help planning it.
The company's first task is to cast the lead female roles of Fantine, adult Cosette, and Éponine, and the lead male roles of Jean Valjean, Inspector Javert, and Marius. You have received headshots and resumes from 28 women and 22 men who are interested in auditioning for these parts.
A: If no one has been cast yet, how many different ways are there to cast Fantine from the 28 women?
B: If Fantine has already been cast, how many different ways are there to cast adult Cosette from the remaining women?
C: If Fantine and adult Cosette have already been cast, how many different ways are there to cast Éponine from the remaining women?
Select one answer choice for part A, one answer choice for part B, and one answer choice for part C.
B: 27P2
C: 26
C: 26!
A: 28P3
B: 27
C: 26P1
A: 28
B: 27!
A: 28!
Question 2:
A: Which of the following expressions will calculate the number of ways the three lead female roles could be cast?
B: Evaluate the permutation from part A.
Select one answer choice for part A, and one answer choice for part B.
B: ≈3.05×10^29
A: 28P3
B: 19656
A: 3P28
B: ≈5.08×10^28
A: 28P25
The permutation shows that when one has been cast yet, the different ways that are there to cast Fantine from the 28 women is 28.
How to calculate the value?The different ways that are there to cast Fantine from the 28 women will be:
= 28!/(28 - 1)!
= 28!/27!
= 28
When Fantine has already been cast, the number of ways that are there to cast adult Cosette from the remaining women will be:
= 27!(27 - 1)!
= 27!/26!
= 26
When Fantine and adult Cosette have already been cast, the different ways that are there to cast Éponine from the remaining women is:
= (28 - 2)!/(28 - 2 - 1)!
= 26!/25!
= 25
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Question 15 (1 point)
The radioactive isotope of phosphorus P-32 is used as a tracer in the liver. If 3.5 mg
is left in a sample after 288 hrs then how much P-32 was administered initially? [The
half-life of P-32 is 14.3 days.]
6.26 mg
4.17 mg
1.96 mg
7 mg
The radioactive isotope of phosphorus P-32 is used as a tracer in the liver. If 3.5 mg is left in a sample after 288 hrs then the initial amount of P-32 administered was 7 mg.
What is radioactive isotope?A radioactive isotope is a form of an element that has an unstable nucleus and undergoes radioactive decay, emitting radiation in the form of particles and/or energy.
These isotopes can be used for various purposes in medicine, industry, and research.
We can use the radioactive decay formula to solve this problem:
N = N0 * (1/2)^(t/T)
where:
- N is the final amount of P-32 remaining after 288 hours (3.5 mg)
- N0 is the initial amount of P-32
- t is the time elapsed (288 hours)
- T is the half-life of P-32 (14.3 days converted to hours is approximately 343.2 hours)
Substituting the given values into the formula, we get:
3.5 mg = N0 * (1/2)^(288/343.2)
Simplifying and solving for N0:
N0 = 3.5 mg / (1/2)^(288/343.2) = 7 mg
Therefore, the initial amount of P-32 administered was 7 mg.
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Question:
−x+4y=4
−x+3y=1
Is (8, 3) a solution of the system?
Answer:
CORRECT (SELECTED)
Yes
Answer:
x=8 and y=3 (So, yes!)
Step-by-step explanation:
I will solve your system by substitution.
(You can also solve this system by elimination.)
−x+4y=4;−x+3y=1
Step: Solve −x+4y=4 for x:
−x+4y+−4y=4+−4y(Add -4y to both sides)
−x=−4y+4
-x/-1 = -4y+4/-1 (Divide both sides by -1)
x=4y−4
Step: Substitute 4y−4 for x in −x+3y=1:
−x+3y=1
−(4y−4)+3y=1
−y+4=1(Simplify both sides of the equation)
−y+4+−4=1+−4(Add -4 to both sides)
−y=−3
-y/-1 = -3/-1 (Divide both sides by -1)
y=3
Step: Substitute 3 for y in x=4y−4:
=4y−4
x=(4)(3)−4
x=8(Simplify both sides of the equation)
Answer:
x=8 and y=3
. A bus covers 44 kilometres in 3 2/3 -hours. How much distance it has covered in 1 hour ? please need fast
Answer:
12km
Step-by-step explanation:
Let unknown= x
40 km = 3 2/3 hrs
xkm = 1 hr
cross multiplying
x =44÷ 3 2/3
=12 km
Tom rolls 2 fair dice and adds the results from each.
Work out the probability of getting a total less than 4.
The probability of getting a total less than 4 is 1/12
How to determine the probability?In a roll of two dice, we have
Outcomes = 36
Sum less than 4 = 3
The probability is then calculated as:
P = Sum less than 4/Outcomes
This gives
P = 3/36
Simplify
P = 1/12
Hence, the probability of getting a total less than 4 is 1/12
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Manny plans to save 1/14 of his salary each week. If his weekly salary is $378, find the amount he will save each week.
Answer:
27
Step-by-step explanation:
What’s the equation of the regression line you’d use to predict stopping distance based on speed?
Answer:
Interpret the slope of the regression line.
Answer:
Find a 95% confidence interval for the slope of the regression line.
Answer:
Test the hypothesis H0: β1 = 0 and Ha: β1 ≠ 0.
Answer:
Suppose, instead of testing H0: β1 = 0, you decided to test H0: β1 = 5 against Ha: β1 ≠ 5. What P-value would be associated with this test?
From the given output the regression equation is
StopDist = ₋89.99 ₊5.7053(speed)
The slope of the regression equation is 5.7053
from the Excel output the 95% confidence interval for the slope of the regression line is (5.0809, 6.3296)
By the rejection rule ,reject the null hypothesis.
Given,
from the given output the regression equation is
StopDist = ₋89.99 ₊ 5.7053(speed)
Interpreting the slope of the regression line.
from the given output the regression equation the slope is 5.7053.
To find a 95% confidence interval for the slope of the regression line follow the excel procedure:
click on the data>data analysis>Regression.In input Y range enter $B$2:$B$11In X range enter $A$2:$A$S11.Enter confidence level as 95.click on ok.From the excel output the 95% confidence interval for the slope of the regression line is (50809, 6.3296).
State the hypothesis
Null hypothesis:
H₀ : β₁ ≠ 0
Alternative hypothesis:
Hₓ : β₁ ≠ 0
Reject rule:
If p value≤ α(=0.05), then reject the null hypothesis.
By the rejection rule, reject the null hypothesis (H₀)
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(9^6 * 7^-9)^-4.
Thanks!
Answer:
[tex]\frac{7^{36}}{9^{24}}[/tex]
Step-by-step explanation:
Check the picture
1. Name a pair of supplementary angles in this figure.
angles FEH and KED
angles FEK and FEH
angles FEK and FEJ
angles FEJ and JED
Answer:
FEJ and JED
Step-by-step explanation:
Supplementary means that the pair of angles add up to 180° or a straight angle. FEJ and JED are both 90° and so they add up to 180° But there are many pairs of angles that are NOT 90° that add up to 180° (but they just weren't in the answer choices)
What is the Query Key Value paradigm in Transformer architectures and what does it mean?
Answer:
za
Step-by-step explanation:
In a sale, the price of a TV is reduced from £250 to £180
What is the percentage decrease?
Answer:
28%
Step-by-step explanation:
250÷ .28 = 180
.28 = 28%
Find (f-g)(x) where f(x) = -x^2, g(x) = -(x+4)²
Answer:
8x + 16
Step-by-step explanation:
(f - g)(x) = f(x) - g(x)
g(x) = -(x+4)(x+4)
= -(x² + 4x + 4x + 16)
= -(x² + 8x + 16)
= -x² - 8x - 16
1) Subtract the two functions.
= (-x²) - (-x² - 8x - 16)
= -x² + x² + 8x + 16
= 8x + 16
how long does it take to drive 40 miles if you are going 40 mph
Answer:
1 HourStep-by-step explanation:
d = r/t
d = 40/40
d = 1 hour
Step-by-step explanation:
just think : what does 40 mph mean ?
it stands for
40 miles per hour
it means with that speed you will drive 40 miles in 1 hour.
20 miles in 1/2 hour.
80 miles in 2 hours and so on.
you always have to multiply both sides of the ratio with the same factor to keep the ratio itself unchanged.
so, as per the definition, it takes 1 hour to drive 40 miles when going 40 mph.
Solve the inequality and write in interval notation
2−5|6x−4|<−13
The solution to the inequality is (7/6, ∝) and (-∝, 7/6)
How to solve the inequality?The inequality expression is given as:
2−5|6x−4|<−13
Subtract 2 from both sides
|6x−4|<−15
Divide through by -5
|6x−4| > 3
Remove the inequality sign
6x - 4 > 3 or 6x - 4 < 3
Add 4 to both sides
6x > 7 or 6x < 7
Divide by 6
x > 7/6 or x < 7/6
In interval notation, we have:
(7/6, ∝) and (-∝, 7/6)
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Which of the following statements is false?
A. A rectangle is an equiangular quadrilateral.
B. A rhombus is a quadrilateral.
C. A square is a rectangle.
D. Opposite angles in a parallelogram are supplementary.
Answer:
D. Opposite angles in a parallelogram are supplementary.
A rectangular garden is to be twice as long as it is wide. If 360 yards of fencing, including the gate, will enclose the garden, what will be the length of the garden, in yards?
Step-by-step explanation:
length = 2 × width
the perimeter of a rectangle is
2×length + 2×width
and it is 360 yards in our case
2×length + 2×width = 360
and then we use the first equation (2×width = length) in this second equation :
2×length + length = 360
3×length = 360
length = 360/3 = 120 yards
A brownie recipe asks for one and one third times as much sugar as chocolate chips. If one and two thirds cups of sugar is used, what quantity of chocolate chips would then be needed, according to the recipe?
Answer:
4/5
Step-by-step explanation:
one and one third times as much sugar as chocolate chips
=> S + 1/3(S) = C
one and two thirds cups of sugar is used
=> S + 2/3(S) = ?
now criss cross the two:
S + 1/3(S) = C
S + 2/3(S) = ?
C×(S+2/3(S)) = S + 1/3(S)....find C
C = (S + 1/3(S)) / (S + 2/3(S))
= (3S + S / 3) / (3S + 2S/ 3)
= 3S + S / 3S + 2S
= 4S / 5S
= 4/5.
Please help me!! Find the total surface area of the following
cone. Leave your answer in terms of .
2√3 cm
2 cm
SA = [? ]π cm²
Hint: Surface Area of a Cone = πre + B
Where = slant height, and B = area of the base
Enter
Answer:
12
Step-by-step explanation:
The Surface Area of the cone 12π cm².
What is the Pythagorean theorem?In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem. The theorem can be used to determine how steep mountains or slopes are. To calculate the distance between an observer and a location on the ground when the observer is looking down from a tower or structure. It is mostly utilized in the construction industry.
Given, A cone with the height of 2√3 and the radius of base is 2 cm.
Since, Surface are of Cone = rlπ + B
Where l= slant height, and B = area of the base
In our case,
r = 2
B = π * r*r = π* 4
for slant height,
Slant makes a perfect right angle triangle with the center line thus,
from Pythagorean theorem,
l² = (2√3)² + 2²
l² = 12 + 4
l = 4 cm
Thus,
Surface area for the Cone = π * 2 *4 + π * 4
Surface area for the Cone = 12π
therefore, Surface Area of the cone 12π cm².
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Review the graph of a piecewise function.
On a coordinate plane, a curve goes through closed circle (negative 3, negative 1) and curves up and approaches x = negative 1 in quadrant 1. A line starts at closed circle (negative 1, negative 3) and goes to open circle (1, negative 1). It then goes to open circle (3, negative 1). A horizontal line starts at open circle (3, negative 3) and goes to (5, negative 3). A closed circle is at (3, negative 4).
For which value of x is the function continuous?
Using the continuity concept, it is found that the function is continuous at x = -3.
What is the continuity concept?A function f(x) is continuous at x = a if it is defined at x = a, and:
[tex]\lim_{x \rightarrow a^-} f(x) = \lim_{x \rightarrow a^+} f(x) = f(a)[/tex]
These three values are equal for x = -3, hence the function is continuous at x = -3.
For the other options, the function is not continuous for the reasons given as follows:
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g(3)=g, left parenthesis, 3, right parenthesis, equals
g(3)=g, left parenthesis, 3, right parenthesis, equals
f(x)=5x−3f, left parenthesis, x, right parenthesis, equals, 5, x, minus, 3
f(5)=f(5)=f, left parenthesis, 5, right parenthesis, equals
The inverse function will be g(x) = (x + 3) / 5. Then the value of the function f(5) and g(3) will be 22 and 6/5.
What is inverse of a function?Let the function will be
f: X → Y
Then the inverse function will be
f⁻¹: Y → X
The function is given below.
f(x) = 5x – 3
Then the value of the function f(x) at x = 5, will be
f(5) = 5 × 5 – 3
f(5) = 22
The g(x) is the inverse function of f(x).
Then the function g(x) will be
5g(x) – 3 = x
g(x) = (x + 3) / 5
Then the value of function g(x) at x = 3, will be
g(3) = (3 + 3) / 5
g(3) = 6 / 5
The complete question is given below.
The function f(x) = 5x – 3. And the function g(x) is the inverse of f(x). Find the value of the function f(5) and g(3).
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