Answer:
13+2n
Step-by-step explanation:
'two times a number' means 2n
'13 more' means we add 13 to this, so 13+2n is the answer.
List a and b for each of them
1) The intersection of sets A and B is; A ∩ B = {1, 3}
2) The complement of set A is; A' = {4, 5, 6, 9, 10}
How to interpret Mathematical Sets?
We are given the sets;
U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
A = {1, 2, 3, 7, 8}
B = {1, 3, 9, 10}
1) The intersection of sets A and B simply means the numbers that are common to both sets. Thus;
A ∩ B = {1, 3}
2) The complement of set A is defined as the set that contains the elements present in the universal set but not in set A. Thus;
A' = {4, 5, 6, 9, 10}
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determine whether AB and CD are parallel, perpendicular, or neither.
A(1,5), B(4,4), C(9,-10), D(-6,-5)
Can you please help me solve these math problems questions 49-62
Answer:
The answer to your question is 16
Pls answer porperlly
Answer: I hope this helps.
Step-by-step explanation:
what is the surface area of triangular pyramid?
Answer:
223.5 in²
Step-by-step explanation:
The surface area of a triangular pyramid comprises:
Area of the base triangle.Area of 3 congruent side triangles.Area of a triangle
[tex]\sf A=\dfrac{1}{2}bh[/tex]
where:
b = baseh = heightFrom inspection of the diagram:
Base triangle: b = 10 in, h = 8.7 inSide triangles: b = 20 in, h = 12 in[tex]\begin{aligned}\implies \textsf{Area of the base triangle} & = \sf \dfrac{1}{2} \cdot 10 \cdot 8.7\\& = \sf 5 \cdot 8.7\\& =\sf 43.5\:in^2\end{aligned}[/tex]
[tex]\begin{aligned}\implies \textsf{Area of a side triangle} & = \sf \dfrac{1}{2} \cdot 10 \cdot 12\\& = \sf 5 \cdot 12\\& =\sf 60\:in^2\end{aligned}[/tex]
[tex]\begin{aligned}\implies \textsf{S.A. of the triangular pyramid} & = \textsf{base triangle}+\textsf{3 side triangles}\\& = \sf 43.5 + 3(60)\\& = \sf 43.5 + 180\\& = \sf 223.5\:in^2\end{aligned}[/tex]
Therefore, the surface area of the given triangular pyramid is 223.5 in².
Help!!!!!!Angle DFG and angleJKL are complementary angles. If the measure if the angle DFG=x+2 and the measure of the angle JKL =x+9 then find x.
∠DFG and ∠JKL are complementary angles
Measure of each angle
Given :
∠DFG and ∠JKL are complementary angles. m∠DFG = x + 5,
and m∠JKL = x − 1
When two angles are complementary then the sum of angles is 90 degrees
∠DFG and ∠JKL are complementary angles.
So,
Now replace the expressions and solve for x
Now replace x with 43 and find out each angle
In the two functions fand g, fog and go fare both equivalent to x. Which of the following statements must be TRUE?
One angle in a triangle has a measure that is three times as large as the smallest angle. The measure of the
third angle is 45 degrees more than that of the smallest angle. Find the measure of the LARGEST angle.
Answer: The LARGEST angle has a measure of
Answer:
The LARGEST angle has a measure of 81°
Step-by-step explanation:
Let α be the smallest angle
β be the second angle
θ be the third angle.
• One (second) angle in a triangle has a measure that is three times as large as the smallest angle.
Then
β = 3α
• The measure of thethird angle is 45 degrees more than that of the smallest angle.
Then
θ = α + 45
• We know that the sum of the interior angles of a triangle add up to 180°
Then
α + β + θ = 180
Then
α + (3α) + (α + 45) = 180
Then
5α + 45 = 180
Then
5α = 135
Then
α = 27
_______________
β = 3α = 3 × 27 = 81
θ = α + 45 = 45 + 27 = 72
Conclusion :
The LARGEST angle has a measure of 81°
Which equation matches the graph of the greatest integer function given below?
Answer:
A
Step-by-step explanation:
The last number represents where the line meets y-axis
Determine the solutions of the equation:
the absolute value quantity two fifths times x plus 1 end quantity minus 7 equals 0
x = −30 and x = 15
x = −20 and x = 15
x = −20 and x = 20
x = −15 and x = 15
The solutions of the equation are x = 15 and -20
How to determine the solutions of the equation?The equation is given as
the absolute value quantity two fifths times x plus 1 end quantity minus 7 equals 0
Rewrite properly as
|2/5x + 1| - 7 = 0
Add 7 to both sides of the equation
|2/5x + 1| = 7
Remove the absolute bracket
2/5x + 1 = 7 and 2/5x + 1 = -7
This gives
2/5x = 6 and 2/5x = -8
Multiply both sides by 5/2
x = 15 and -20
Hence, the solutions of the equation are x = 15 and -20
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Answer:
x = 15 and -20
Step-by-step explanation:
I don't understand someone please help. :(
Answer:
d I'm leaning towards d
Step-by-step explanation:
a doesn't make sense B can't be because we went adding d is phrased wrong
PLS ANSWER ASAP
Solve for g. − 3 + 5 + 6 g = 11 − 3 g
Chelsea reduced the size of a triangle to a width of 4 in. What is the new height if it was originally 10 in. tall and 20 in. wide?
-14= -4 + u/5
Solve for u
Answer:
u = -50
Step-by-step explanation:
First let's carry the -4 to the other side and get u/5 by itself
-14 = -4 + u/5
+4 +4
-10 = u/5
The next step is to try and get rid of the u, and in order to do that we have to multiply by 5 on both sides
-10 = u/5
*5 *5
-50 = u
So u should equal -50.
_____
You can also check this answer by plugging it back into the original problem
-14 = -4 -50/5
-14 = -4 -10
-14 = -14
The statement is true, so -50 is our answer for sure.
Hope this helps :)
Diane got a prepaid debit card with $25 on it. For her first purchase with the card, she bought some bulk ribbon at a craft store. The price of the ribbon was 12
cents per yard. If after that purchase there was $22.84 left on the card, how many yards of ribbon did Diane buy?
yards
X
5
Answer:
The number of yards of ribbon that Diane buy in total from the prepaid debit card with $25 on it is 0.18 yards.
Step-by-step explanation:
It is given that, Diane got a prepaid debit card with $25 on it. For her first purchase with the card, she bought some bulk ribbon at a craft store. The price of the ribbon was 12 cents per yard.
Now, if after that purchase there was $22.84 left on the card, let's calculate how many yards of ribbon did Diane buy in total and for that we need to;
Furthermore, based on the given conditions, we will be formulating the following;
=> (25-22.84) / 12
=> 2.16/12
=> 216/100 × 1/12
=> 9/25 × 1/2
=> 9 / (25×2)
=> 9/50
=> 0.18 yards
Therefore, the number of yards of ribbon that Diane buy in total from the prepaid debit card with $25 on it is 0.18 yards.
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A married couple filing jointly has a taxable income of $75,000. How much will they pay in federal
income taxes?
O $8612
O $6672
O $9000
O $7500
The amount that the married couple filing jointly would pay in federal income taxes is C. $9,000.
What is income tax?Income tax is the compulsory obligation a taxpayer must remit to the IRS for each fiscal year based on the taxpayer's taxable income.
The tax rate based on the filer's tax bracket is applied to the taxable income to determine the tax payable.
Using the graduated system, of the $75,000, the first $20,550 is taxed at 10%, which gives $2,055. That leaves $54,450 in income. The next portion of the taxable income from $20,550 to $83,550 is taxed at 12%. This means $54,450 is getting taxed at 12%, which gives $6,534. The total tax due is $8,589, which averages $9,000.
Data and Calculations:Taxable income = $75,000
Tax bracket = 12%
Tax liability = $9,000 ($75,000 x 12%)
Tax Rates for married couples filing jointly are as follows:
10% tax rate for income between $0 and $20,550
12% tax rate for income between $20,551 and $83,550
22% tax rate for income between $83,551 and $178,150
24% tax rate for income between $178,151 and $340,100
32% tax rate for income between $340,101 and $431,900
35% tax rate for income between $431,901 and $647,850
37% tax rate for income of $647,851 or more
Thus, the amount that the married couple filing jointly would pay in federal income taxes is C. $9,000.
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Consider the following equation.
6x - 4y = 9
Step 1 of 2: Determine the missing coordinate in the ordered pair (-4, ?) so that it will satisfy the given equation.
The missing coordinate of the ordered pair (-4, m) for the equation 6x - 4y = 9 is -33/4.
Let the missing ccordinate of the ordered pair be m.
According to the given question.
We have an equation 6x - 4y = 9.
Here, we have given a ordered pair (-4, ?) which satisfy the given equation 6x - 4y = 9.
Therefore, the missing coordinate of the ordered pair (-4, m) for the equation 6x - 4y = 9 is given by
6x - 4y = 9
⇒ 6(-4) - 4(m) = 9
⇒ -24 - 4m = 9
⇒ -4m = 9 + 24
⇒ -4m = 33
⇒ m = -33/4
Hence, the missing coordinate of the ordered pair (-4, m) for the equation 6x - 4y = 9 is -33/4.
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........... what is a day of the week that you do not like? and why. Just curious!
In 7 days of a week, most of us do not like Monday because all the work starts again on monday after a weekend.
We need to tell the day in a week which we do not like in a week.
What is the first day of a week?Sunday is the first day of a week.
In a week there will be 7 days, sunday, monday, tuesday, wednesday, thursday, friday and Saturday. In this most of the people dont like monday because after a weekend the starting would be monday where one has to start the work.
Therefore monday is a day of week which i do not like.
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how to solve inequality geometrically
Answer:
This article is about the basic inequality {\displaystyle z\leq x+y}{\displaystyle z\leq x+y}. For other inequalities associated with triangles, see List of triangle inequalities.
Three examples of the triangle inequality for triangles with sides of lengths x, y, z. The top example shows a case where z is much less than the sum x + y of the other two sides, and the bottom example shows a case where the side z is only slightly less than x + y.
In mathematics, the triangle inequality states that for any triangle, the sum of the lengths of any two sides must be greater than or equal to the length of the remaining side.[1][2] This statement permits the inclusion of degenerate triangles, but some authors, especially those writing about elementary geometry, will exclude this possibility, thus leaving out the possibility of equality.[3] If x, y, and z are the lengths of the sides of the triangle, with no side being greater than z, then the triangle inequality states that
{\displaystyle z\leq x+y,}z\leq x+y,
with equality only in the degenerate case of a triangle with zero area. In Euclidean geometry and some other geometries, the triangle inequality is a theorem about distances, and it is written using vectors and vector lengths (norms):
{\displaystyle \|\mathbf {x} +\mathbf {y} \|\leq \|\mathbf {x} \|+\|\mathbf {y} \|,}\|\mathbf {x} +\mathbf {y} \|\leq \|\mathbf {x} \|+\|\mathbf {y} \|,
Step-by-step explanation:
Answer:
by triangular inequality
Step-by-step explanation:
You are choosing between two health clubs. Club A offers membership for a fee of plus $18 a monthly fee of $20 Club B offers membership for a fee of $12 plus a monthly fee of $23 After how many months will the total cost of each health club be the same? What will be the total cost for each club?
Please help thank you
Answer:
x=5
Step-by-step explanation:
so after five months, the costs would equal each other.
Explanation:
You'd have to write equations for the price per month for each club.
Let x equal the number of months of membership, and y equal the total cost. Club A's is y=25x+40 and Club B's is y=30x+15.
Because we know that the prices, y, would be equal, we can set the two equations equal to each other.
25x+40=30x+15.
We can now solve for x by isolating the variable.
25x+25=30x.
25=5x.
5=x
After five months, the total cost would be the same.
The product of five and number, increased by 34 is 24. What is the number?
Answer:
The number is -2
Step-by-step explanation:
First let's turn this into an equation
5 times a number (we'll use x) + 34 = 24
5x+34= 24
Now to start solving the problem
First thing's first, let's carry over the 34 to the other side by subtracting 34 from both sides. This helps us try to get x by itself
5x+34 = 24
-34 -34
5x = -10
Now we just divide both sides by 5 to get rid of it entirely from the x
5x = -10
/5 /5
x = -2
Your number should be -2
We can also check by plugging -2 back into the equation for x
5 (-2) +34 = 24
-10 +34 = 24
24 = 24
Since they are both equal, -2 is really your answer
I hope this helps :)
Purchase a home for $160,000 , have a down payment of 25% the bank charges two points at closing, how much are they paying in points
Your customers are investing $160,000 in a house. How much points are they paying in total if they put down a 25% down payment and the bank charges two points at closing? The loan amount after their 25% down payment ($160,000 x.75 = $120,000).
A down payment is a quantity of money that a buyer pays at the beginning of a pricey good or service purchase. A portion of the entire purchase price is covered by the down payment, and the buyer frequently takes out a loan to cover the balance.
This sum is typically expressed as a percentage of the overall cost of buying the house. A typical down payment is 20%, for instance, which means the buyer will pay 20% of the total purchase price up front. During the closing procedure, this sum is typically paid in the form of a cashier's check.
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If you drive 263 miles and have 11 gallons of gas remaining in your tank. Then you continue driving, and calculate that after driving 314 miles you have 8 gallons left.
What is your rate?
The Fuel efficiency rate in miles per gallon is; 104.67 MPG
How to calculate Fuel efficiency rate?
Let the initial amount of gallons be x
Now, after driving for 263 miles, you have 11 gallons of gas left in your tank.
Now, you continue driving and after driving 314 miles, you have 8 gallons left. This means that number of gallons used to drive 314 miles = 11 - 8 = 3 gallons
Therefore the Fuel efficiency rate which is in miles per gallon is;
MPG = 314/3
MPG = 104.67 MPG
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Translate the sentence into an equation.
Four less than the product of 9 and a number equals 5.
Use the variable c for the unknown number.
Answer:
(9c) - 4=5
Step-by-step explanation:
Product means 'The answer when you multiply' So we are working in multiplication. ( x )
9c is the multiplication.
It says 'less' which means subtracting to our answer. So we subtract 4. So far our equation is: (9c) - 4 (Brackets are needed as we are multiplying 9 by c and not multiplying 9 by c - 4)
Lastly, it says the answer must be 5 so we add that at the end. So the answer is:
(9c) - 4=5
I need help again please
Answer:
7/10, 12/40, 2/20, -10
Write a rule to describe each transformation please I need help asp
Answer:
The figure is reflected over the line x = -2
Step-by-step explanation:
If you drew a vertical line at x = -2, you would see that each point is the same distance from x = -2 but on the right side. E and E' are the same point because they are on the line x + -2. Point D is 3 units to the left of x = -2 for D' is 3 units to the right of x = -2 and so one
consider the line y=9x-8 find the equation that is perpendicular to this line and passes through the point -8,3
The equation of line is y=-9x-69.
To solve this problem we need to know the concept of slope of line and equation of straight line.
Writing the standard form of line is in the form of y= mx+ c where m is the slope of line.
And we also know that the product of slope of a line perpendicular to the line is equal to -1.
Let us assume that the slope of required line is m'
So, m' × 9 = -1
⇒ m'= -9
Now, the equation of line will be;
[tex](y-3)=-9(x+8)[/tex]
⇒ y-3=-9x-72
⇒ y=-9x-69 is the standard equation of line perpendicular to the given line y=9x-8.
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A doctor administers a drug to a 34-kg patient, using a dosage formula of 55mg/kg/day. Assume that the drug is available in a 200 mg per 5 mL suspension or in 300 mg tablets. a. How many tablets should a 34-kg patient take every four hours? b. The suspension with a drop factor of 10 gtt/mL delivers the drug intravenously to the patient over a twelve-hour period, i.e the patient receives the daily dose over a 12 hour period. What infusion rate should be used in units of gtt/hr?
The patient should take three-tenths of a tablet every 4 hours and the infusion rate is 0.13 mL per 12 hours.
Given that, a doctor administers a drug to a 34-kg patient, using a dosage formula of 55mg/kg/day.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Let the number of tablets should a 34-kg patient takes every four hours to be x.
Now, 55 × 34 = 1870 mg/day
For every four hours:
1870 × 1 /24 × 4 = 311.666
≈312 mg per 4 hours
So, x=312/4 × 1/300 = 78 × 0.0033
=0.26 tablet
Liquid suspension is for every 12 hours:
So, 312/12 × 1/200 = 26 × 0.005 = 0.13 mL
Hence, the patient should take three-tenths of a tablet every 4 hours and the infusion rate is 0.13 mL per 12 hours.
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Use the distributive property to remove the parentheses. -3(4v-2y-6)
-12v+6y+18
you multiply everything by -3, so -3×4v=-12v
-3×(-2y)=6y, since negative × negative=positive
-3×(-6)=18
i hope this helps :)
Pls help it’s due soon
Answer:
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