Answer:
\( - \frac{10}{9} \)
What is greater 1.0275 or 1.029
Answer:
1.029 is greater than 1.0275
Step-by-step explanation:
Answer:
1.029
Step-by-step explanation:
What is greater 1.0275 or 1.029
.027 < .029
So, 1.029 is greater.
A nine-month old baby drank an average of 7 1/4 oz during each of four feedings. If the baby drank 7 1/2oz, 7 3/8oz, & 6 3/8oz in the first three feedings, how many ounces were taken during the fourth feeding?
A) 7 3/8
B) 6 3/8
C) 6 3/4
D) 7 3/4
Show work please
Answer: D) 7 3/4
Step-by-step explanation:
With averages, we add all the values and divide by the number of values. Here, we know three out of the four days, let's label the day we don't know x. There are four days, so we can divide by four. 7 1/4 is the average, so we can set the equation equal to 7 1/4.
7 1/4 = (7 1/2 + 7 3/8 + 6 3/8 + x) / 4
Let's multiply both sides by 4 to get rid of the fraction. Let's also add what is in the parentheses
29 = 21 1/4 + x
Now we can isolate x by subtracting 29-21 1/4
so
x = 7 3/4 thus the answer is D
Answer:
D) 7 3/4
Step-by-step explanation:
Let x = amount of last feeding.
7 1/4 = (7 1/2 + 7 3/8 + 6 3/8 + x)/4
4 × 7 1/4 = 7 1/2 + 7 3/8 + 6 3/8 + x
28 + 1 = 7 4/8 + 7 3/8 + 6 3/8 + x
29 = 20 10/8 + x
(20 10/8 is the same as 20 + 10/8 = 20 + 8/8 + 2/8 = 20 + 1 + 1/4 = 21 + 1/4 = 21 1/4)
29 = 21 2/8 + x
29 = 21 1/4 + x
x = 29 - 21 1/4
x = 28 4/4 - 21 1/4
x = 7 3/4
Answer: 7 3/4
45% of the members in a council are female
there are 72 female council
(a) the total number of council members
(b) the number of male council members
Answer:
45% are female -> 72
100% are total -> x
x= 72• 100/45
x= 7200/45
x= 160
total= male+female
160= male + 72
male= 88
How do you solve this Зп – 1
Step-by-step explanation:
3n just means 3 × n
To actually solve the equation, the value of n would have to be given.
In some equations, you would have to solve for n and then answer the equation, but that's not possible with this one.
If g(x, y) = x2 + y2 − 6x, find the gradient vector ∇g(2, 6) and use it to find the tangent line to the level curve g(x, y) = 28 at the point (2, 6).
Answer:
The gradient of vector
∇g = i⁻(2 x -6 ) + j⁻ (2y)
The gradient of vector at the point (2 ,6) is
( ∇g)₍₂,₆) = (-2) i⁻ + (12) j⁻
Step-by-step explanation:
Explanation:-
Given g (x, y) = x² +y² -6x ...(i)
The gradient of vector
∇g =( i⁻ δ/δx + j⁻ δ/δy+ k⁻δ/δZ)g
= ( i⁻ δg/δx + j⁻ δg/δy+ k⁻δg/δZ) .....(ii)
Differentiating equation (i) partially with respective to 'x' , treated 'y' as constant.
δg/δx = 2x - 6
Differentiating equation (i) partially with respective to 'x' , treated 'y' as constant.
δg/δy = 2y
Step(ii):-
The gradient of vector
∇g = i⁻(2 x -6 ) + j⁻ (2y)
At the point ( 2,6)
( ∇g)₍₂,₆) = i⁻(2 (2) -6 ) + j⁻ (2(6))
( ∇g)₍₂,₆) = i⁻(-2) + j⁻ (12)
a water snake in a well is 30 M below the ground level its lights 20 m upward and then slips down 10 M how far it is from the ground level
\( - 30 - + 20 - - 10\)
If the water snake is initially 30 meters below the ground level and then climbs 20 meters upward, it will be 30 - 20 = 10 meters below the ground level. However, if it then slips down 10 meters, it will be 10 + 10 = 20 meters below the ground level.
Find the indicated root. Plz help me again I don’t understand
Answer:
n^ 25
Step-by-step explanation:
We are taking the third root, so rewrite the root as an exponent
\(\sqrt[3]{n^{75} }\)
n ^(75/3)
Divide
n^ 25
Answer:
n^75/3=n^25 is your answer. look it once.
Nerissa has 5 pink bows, 1 blue bow, and 4 purple bows in a box. She will randomly choose 1 bow from the box. What is the probability Nerissa will choose a purple bow?
Answer:
Hold
Step-by-step explanation:
Answer:
80% chance of picking the purple bow
Step-by-step explanation:
1 blue bows : 4 purple bows
4/5= .80 as a percent
.80= 80%
At a local restaurant, the amount of time that customers have to wait for their food is normally distributed with a mean of 36 minutes and a standard deviation of 3 minutes. What is the probability that a randomly selected customer will have to wait between 32 minutes and 37 minutes, to the nearest thousandth?
The probability that a randomly selected customer will have to wait between 32 minutes and 37 minutes is 59.81%
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Z score is given by:
z = (raw score - mean) / standard deviation
Given mean of 36 minutes and a standard deviation of 3 minutes.
For x = 32:
z = (32 - 36)/3 = -1.33
For x = 37:
z = (37 - 36)/3 = 0.33
P(-1.33 < z < 0.33) = P(z < 0.33) - P(z < -1.33) = 0.6179 - 0.0198 = 0.5981
The probability that a randomly selected customer will have to wait between 32 minutes and 37 minutes is 59.81%
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WRITE A LINEAR EQUATION FOR THE TABLE BELOW.
A) WHAT IS THE Y-INTERCEPT OF THIS TABLE? WHAT PATTERN IN
THE TABLE CAN YOU USE TO HELP YOU FIND THE Y-INTERCEPT?
B) WHATS THE SLOPE OF THIS TABLE? USE THE SLOPE FORMULA.
C) WHAT IS THE EQUATION OF THIS TABLE? USE YOUR SLOPE (M) AND Y-INTERCEPT (B) TO WRITE THE EQUATION IN Y=MX+B FORM.
Answer:
WHERE IS THE TABLES HM???
what equation defines a line that intersects the graph of 6x-2y=10 exactly once?
Any line with a slope different than 3 will intercept the given line only once.
What equation defines a line that intersects the graph?The answer will be any line that is not parallel (nor the same) to the given line.
Remember two lines are parallel if the lines have the same slope and different y-intercept
In this case, the given linear equation is:
6x - 2y = 10
y = 3x - 5
So the slope is 3 and the y-intercept is -5.
Then, any line with a slope different than 3 will intercept this line only once.
An example can be:
y = 314*x
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Tim and Jessica plan to rent a camper van for a vacation. The can costs $183 per day. The rental includes 120 miles for free then charges $0.39 per mile.
The total price Tim and Jessica paid to rent the camper van is 598.74. An equation that models the cost of the van rental in terms of miles traveled, m, is 598.74 = 183 + 0.39 (m - 120)
Use the equation to determine how many miles Tim and Jessica tracked if they paid 598.74
The equation that represents the cost of the van rental is $598.74 = 136.20 + $0.39m .
What is equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
The general form of linear equations is:
y = a + bx
Where:
a = intercept
b = slope
The form of the equation that models the cost is:
Total cost = cost of renting the van + [cost per mile x (m - 120 miles)
$598.74 = $183 + [$0.39 x (m - 120)
$598.74 = $183 + $0.39m - 46.80
$598.74 = 136.20 + $0.39m
Thus, they travelled 1186 miles.
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i need to type in two answers! the value and measure pls!!!!
I don’t know the answer
When we solve for x in the expression 4(x + 8) - 4 = 34 - 2x, the result obtained is 11
How do i solve for x in the expression?From the question given above, the following data were obtained:
Equation: 4(x + 4) - 4 = 34 + 2xValue of x =?The value of x in the given expression can be obtained as illustrated below:
4(x + 4) - 4 = 34 + 2x
Clearing bracket, we have
4x + 16 - 4 = 34 + 2x
4x + 12 = 34 + 2x
Collect like terms
4x - 2x = 34 - 12
2x = 22
Divide both sides by 2
x = 22 / 2
= 11
Thus, the value of x in the expression is 11
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Complete question:
I don’t know the answer:
Solve for x in the expression 4(x + 8) - 4 = 34 - 2x
Find the distance between the two points in simplest radical form for (-6,1) and (-8,-4)
Answer:
Step-by-step explanation:
Δy =-4-1 = -5
Δx =-8-(-6) = -2
distance = √((Δx)^2+(Δy)^2) = √(4+25) = √29
Answer:
\sqrt{29}
Step-by-step explanation:
\sqrt{(-6+8)²+(1+4)²}
\sqrt{4+25}
\sqrt{29}
Evaluate 5x2 – 2y3 when x = 2 and y = 4
Answer:
-4
Step-by-step explanation:
(substitute in x=2 and y=4 soo...)
5 x 2 x 2 = 20
2 x 4 x 3 = 24
20 - 24 = -4
Sarah has been an exemplary employee! The library has given her a 5% raise in recognition of
her hard work. If Sarah normally has a net salary of $212.50, what will Jessica’s net salary be now?
Remember, you calculated that 15% of Sarahs gross salary is withheld each week.
The correct value of Jessica's new net salary will be $225.
To calculate Jessica's new net salary after a 5% raise, we need to first determine Sarah's gross salary. We know that Sarah's net salary is $212.50, and 15% of her gross salary is withheld each week.
Let's denote Sarah's gross salary as "G." We can set up the following equation:
G - 15% of G = $212.50
Simplifying the equation, we have:
G - 0.15G = $212.50
0.85G = $212.50
G = $212.50 / 0.85
G ≈ $250
Sarah's gross salary is approximately $250.
Now, to find Jessica's new net salary after a 5% raise, we can calculate 5% of Sarah's gross salary and subtract the withheld amount:
Jessica's net salary = Sarah's gross salary + 5% of Sarah's gross salary - 15% of Sarah's gross salary
Jessica's net salary = $250 + 0.05 * $250 - 0.15 * $250
Jessica's net salary = $250 + $12.50 - $37.50
Jessica's net salary = $225
Therefore, Jessica's new net salary will be $225.
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tanx(1+cos2x)=sin2x prove the identity
Using double angle identity, we are able to prove tan(x)(1 + cos(2x)) = sin(2x).
What is the prove of the given identity?To prove the identity tan(x)(1 + cos(2x)) = sin(2x), we can start by using trigonometric identities to simplify both sides of the equation.
Starting with the left-hand side (LHS):
tan(x)(1 + cos(2x))
We know that tan(x) = sin(x) / cos(x) and that cos(2x) = cos²(x) - sin²(x). Substituting these values, we get:
LHS = (sin(x) / cos(x))(1 + cos²(x) - sin²(x))
Next, we can simplify the expression by expanding and combining like terms:
LHS = sin(x) / cos(x) + sin(x)cos²(x) / cos(x) - sin³(x) / cos(x)
Simplifying further:
LHS = sin(x) / cos(x) + sin(x)cos(x) - sin³(x) / cos(x)
Now, let's work on the right-hand side (RHS):
sin(2x)
Using the double angle identity for sine, sin(2x) = 2sin(x)cos(x).
Now, let's compare the LHS and RHS expressions:
LHS = sin(x) / cos(x) + sin(x)cos(x) - sin³(x) / cos(x)
RHS = 2sin(x)cos(x)
To prove the identity, we need to show that the LHS expression is equal to the RHS expression. We can combine the terms on the LHS to get a common denominator:
LHS = [sin(x) - sin³(x) + sin(x)cos²(x)] / cos(x)
Now, using the identity sin²(x) = 1 - cos²(x), we can rewrite the numerator:
LHS = [sin(x) - sin³(x) + sin(x)(1 - sin²(x))] / cos(x)
= [sin(x) - sin³(x) + sin(x) - sin³(x)] / cos(x)
= 2sin(x) - 2sin³(x) / cos(x)
Now, using the identity 2sin(x) = sin(2x), we can simplify further:
LHS = sin(2x) - 2sin³(x) / cos(x)
Comparing this with the RHS expression, we see that LHS = RHS, proving the identity.
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Question
A proposed change in income tax suggests charging 20% on a person's income up to $30, 000 and then 40% on any
income above that. If a person has an income of $47, 000, what will be their income tax under the proposal?
Give your answer in dollars to the nearest dollar. Do not include commas or the dollar symbol in your answer.
The total income tax imposed on $47,000 is $12,800
How does income tax work?The term "income tax" describes a class of taxes that governments impose on income generated by people and businesses within their territorial jurisdiction.
Taxpayers are required by law to submit an income tax return each year in order to determine their tax obligations.
Income taxes are the main source of funding for governments. They are employed to fund public services, provide residents with goods, and settle debts owing to the government.
A number of states and municipal governments, in addition to the federal government, also require payment of income tax. The Internal Revenue Service is responsible for collecting taxes and enforcing the tax laws in the United States (IRS).
Regarding credits, deductions, and other forms of taxable and reportable income.
Firstly let us break the income tax as per the given condition
Income = 47,000 = 30,000 + 17,000
hence 20% tax is imposed on $30,000 and 40% on $17,000
Total income tax = 20% of 30000 + 40% of 17000
Total income tax = 6000 + 6800 = 12800
hence, The total income tax imposed on $47,000 is $12,800.
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Andrea has a jug containing 1.5 liters of chocolate milk. She fills one cup with 250 milliliters and another cup with 0.6 liters. How much chocolate milk is left in the jug in milliliters?
Answer:
650 ml left ................
Answer:
650 milliliters.
Step-by-step explanation:
Amount in the Jug = 1.5 * 1000 = 1,500 mls.
She pours out 250 mls and 0.6 * 1000 = 600 mls
The amount left = 1500 - 250 - 600
= 650 milliliters.
0.203 x 0.14 help plz, help plz
Answer:
0.02842
Step-by-step explanation:
0.203×0.14
Multiply 0.203 and 0.14 to get 0.02842.
0.02842
Answer:
0.02842 is the answer
Step-by-step explanation:
multiply 0.203 x 0.14 = 0.02842
Please help! Thanks
Answer:
5(4x+3)
Step-by-step explanation:
We first have to find the GCF(Greatest Common Factor) of 20 and 15.
We get 5 as our GCF.
Take the 5 out of the parentheses.
5()
Then we have to divide 20x and 15 by 5
4x and 3
After, we put this value into the parentheses, making our answer correct.
5(4x+3).
To check, we have to distribute 5 to 4x and 5 to 3.
20x+15.
Our answer is correct!
If 5+20-22-3x = 10-2-2x + 5, what is the value of x?
-3
-2
2
3
Answer: 3
Step-by-step explanation: edge (other girl is obviously challenged if she didn’t see the possible answers...)
Find the value of x that makes triangle CDE ~triangle FGH
Answer: 5
Step-by-step explanation:
4x + 10- 25
______form refers to a form existing inside of a larger form.
Binary
Strophic
Sonata
Subsidiary
5) 12% of what number is 66?
Answer:
7.92
Step-by-step explanation:
Evaluate x^3– y^2 if x = 2 and y= 3/4
Answer:
2³-3/4²
Step-by-step explanation:
Hello everyone! I've been struggling with this problem for about an hour now and I wanted to ask for some assistance. Its asking me to find the perimeter and the area of this octogon. For the perimeter, I got 80 meters. Thank you guys for the help! :)
The perimeter of the regular polygon is approximately 61.2 m
The area of the regular polygon is approximately 282.8 m²
Calculating the Perimeter and Area of a regular polygonFrom the question, we are to determine the perimeter and area of the given polygon.
The given polygon is an octagon.
Consider the right triangle drawn in the octagon. The length of a side of the regular octagon is twice the length of the base of the right triangle.
Let the base of the right triangle be b.
In the triangle, the measure of the angle close to the center of the octagon is 22.5° (That is, (360° / 2) ÷ 2).
From SOH CAH TOA,
We can write that
sin (22.5°) = b/10
b = 10 × sin (22.5)
Length of a side of the octagon = 2 × 10 × sin (22.5)
Thus,
Perimeter of the octagon = 8 × 2 × 10 × sin (22.5)
Perimeter of the octagon = 61.2293
Perimeter of the octagon ≈ 61.2 m
Area of the octagon,
Area of a regular octagon = (Perimeter × Apothem) / 2
|Apothem|² = 10² - (10 × sin (22.5))²
|Apothem|² = 100 - 14.64466
|Apothem|² = 85.35534
|Apothem| = √85.35534
|Apothem| = 9.2388
Thus,
Area of the octagon = (61.2293 × 9.2388) / 2
Area of the octagon = (565.68525684) / 2
Area of the octagon = 282.8426
Area of the octagon ≈ 282.8 m²
Hence,
The area is 282.8 m²
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differentiate of the following w.r.t.
give me this answer i mark u brainlist
Answer:
\(\frac{dy}{dx}=\frac{4}{3}x^{1/3}+e^x +\cos x\)
Step-by-step explanation:
\(\frac{d}{dx} x^{4/3}=\frac{4}{3}x^{1/3} \\ \\ \frac{d}{dx} e^x=e^x \\ \\ \frac{d}{dx} \sin x=\cos x \\ \\ \therefore \frac{dy}{dx}=\frac{4}{3}x^{1/3}+e^x +\cos x\)
naina made a 10 layer multi strand ornament for her friend Diana. She used 45 beads for the first layer, 42 beads in the 2nd layer and 39 beads in the third layer. how many total beads did naina use to complete the ornament
Answer:
To find the total number of beads Naina used to complete the ornament, we need to sum the number of beads in each layer.
Total number of beads = 45 + 42 + 39 + ... (continue the pattern until the 10th layer)
Notice that the number of beads in each layer decreases by 3. We can use arithmetic series formula to find the sum of the beads in all 10 layers:
S = (n/2) x (a + l)
where S is the sum, n is the number of terms, a is the first term, and l is the last term.
Here, a = 45, l = 18 (since the 10th layer will have 18 beads), and n = 10 (since there are 10 layers). Thus, we have:
S = (10/2) x (45 + 18) = 5 x 63 = 315
Therefore, Naina used a total of 315 beads to complete the ornament.
Answer:
The answer to your problem is, 1260
Step-by-step explanation:
Well we know she made 10 “ strand ornaments “ for each layers we would need to add;
45 + 42 + 39
= 126
We would actually then need to multiply it by 10. Shown:
126 × 10
= 1260
Thus the answer to your problem is, 1260