Answer:
m∠2 = 56°
Step-by-step explanation:
Given;
m∠1 = 10x + 4 and m∠2 = 5x - 4
Angles 1 and 2 are supplementary angles meaning that they add up to 180°
i.e,
(10x + 4) + (5x - 4) = 180°
10x + 5x + 4 - 4 = 180°
15x = 180°
x = 180/15 = 12
m∠2 = 5(12)° - 4° = 60° - 4° = 56°
What is the sign of the third term of the expansion of (x - y)n for n = 3, 4, and 5?
a.
positive
b.
negative
ANSWER
a.
positive
EXPLANATION
The given binomial expansion is:
[tex] {(x - y)}^{n} [/tex]
We can see that the second term is negative (-y).
When we expand this binomial for n=3,4, and 5, the sign is got to alternate.
The first term is positive
The second term negative
The third term is positive
The first choice is correct.
Answer:
A;)
Step-by-step explanation:i dont have negative sign
Anissa is considering buying her first home. The house she is interested in buying is priced at $139,000. Anissa qualifies for a 30-year mortgage at 6.45%. What will be her monthly mortgage payment?
Answer:
A
Step-by-step explanation:
Answer:
The correct answer is option A.
Step-by-step explanation:
The EMI formula is ::
[tex]\frac{p*r*(1+r)^{n} }{(1+r)^{n}-1 }[/tex]
Here,
p = 139000
r = [tex]6.45/12/100=0.005375[/tex]
n = [tex]30*12=360[/tex]
Now, putting these values in formula we get,
[tex]\frac{139000*0.005375*(1+0.005375)^{360} }{(1+0.005375)^{360}-1 }[/tex]
[tex]\frac{139000*0.005375*(1.005375)^{360} }{(1.005375)^{360}-1 }[/tex]
= $874.01
Therefore, option A is the answer.
How do you do this problem?
12y = 1224
12 x y = 1224
1224 divided by 12 = y
Answer:
the answer is 102.
Step-by-step explanation:
Answer:
12y = 122412 xy = 12241224 divided by 12 = y12y = 1224 = 10212 xy = 1224 = xy = 1021224 divided by 12 = 102Hope this helps!!!
A spherical boulder is 14 ft in diameter and weighs almost 6 tons. Find the volume. Use 3.14 for pi.
To find volume, we will use the following equation: V=4/3piR^3
The correct answer should be 1436.76
The volume of the spherical boulder will be 1,436.027 cubic feet.
What is the volume of the sphere?Let r be the radius of the sphere. Then the volume of the sphere will be given as,
V = 4/3 πr³ cubic units
A spherical boulder is 14 ft in diameter. Then the radius is calculated as,
r = d / 2
r = 14 / 2
r = 7 feet
Then the volume of the spherical boulder is calculated as,
V = 4/3 πr³
V = 4/3 x 3.14 x 7³
V = 1,436.027 cubic feet
The volume of the spherical boulder will be 1,436.027 cubic feet.
More about the volume of the sphere link is given below.
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lena made $90 for 5hours of work at the rate how many hours would she have to work to make 324$
hiii
here is the solution
hope it helps
How much more would $5,656.30 earn in 5 years, compounded monthly at 4.1%, when compared to the interest on $5,656.30 over 5 years, at 4.1% compounded quarterly?
Answer:
[tex]\$4.81[/tex]
Step-by-step explanation:
we know that
The compound interest formula is equal to
[tex]A=P(1+\frac{r}{n})^{nt}[/tex]
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
step 1
in this problem we have
[tex]t=5\ years\\ P=\$5,656.30\\ r=0.041\\n=12[/tex]
substitute in the formula above
[tex]A=\$5,656.30(1+\frac{0.041}{12})^{12*5}=\$6,940.82[/tex]
step 2
in this problem we have
[tex]t=5\ years\\ P=\$5,656.30\\ r=0.041\\n=4[/tex]
substitute in the formula above
[tex]A=\$5,656.30(1+\frac{0.041}{4})^{4*5}=\$6,936.01[/tex]
step 3
Find the difference
[tex]\$6,940.82-\$6,936.01=\$4.81[/tex]
What’s the answer!!! Please help ASAP
Answer: It equals y to the twentieth power.
Step-by-step explanation: when you have a power to a power, like this example, it's essentially saying, y to the power of 4 times y to the power of four times times y to the power of 4 times y to the power of 4 times y to the power of 4, so y to the fourth is being repeated 5 times, so just multiply 5*4 to get 20.
Answer:
y²⁰
Step-by-step explanation:
(y⁵)⁴ is the same as writing y⁵×y⁵×y⁵×y⁵ 4 times. For the exponent, all you have to do is add all the 5's and you'll get y²⁰. I hope this helps:)
Sorry for all the late night / early morning questions running on three days with little sleep trying to graduate
Answer:
measure of angle R is 75.897° or 75.90°.
Step-by-step explanation:
To solve use the formula Sin A/ a= Sin B/ b. our angle A is 52°, opposite it is side a so 26. Let angle R be our B so opposite it is b which measure 32.
sin 52°/26 = Sin B/32, cross multiply
32 (sin 52°) = 26 Sin B, multiply both side by 1/26
32 (sin 52°)/26 = Sin B
32 (0.78880107536...)/26 = Sin B
0.969593891... = Sin B
Sin^-1 (0.969593891..) = B
B = 75.89703075 or Angle R is 75.90°
Which form of payment can you lose and NOT get your money back?
Debit Card
Credit Card
Check
Cash
Answer:
cash
Step-by-step explanation:
You cannot get your money back once you lose cash since it's not connected to any bank or financial institution, unlike debit cards, credit cards, or checks.
Explanation:The form of payment that you can lose and not get your money back is cash. When you lose cash, there is no way to trace it or stop it like you can with a check, debit, or credit card. This is because cash is not linked to any banking or financial institution, so no protections are in place to recover lost or stolen cash. On the other hand, if you lose a debit card, credit card, or check, you can immediately inform your bank or card issuer to freeze your account or cancel the check, thereby protecting your money.
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a movie starts at 2:30 pm and ends at 4:15 pm. after the movie anne and her friends go for ice cream. they eat ice cream from 4:30 pm to 5:00pm how much time elapsed from the start of the movie to the time the friends finished their icecream
Answer:
The answer is two hours and thirty minutes.
Step-by-step explanation:
The movie starts at 2:30 PM, and Anne and her friends finish their ice cream at 5:00 PM. If you add two hours and thirty minutes to 2:30 PM, you reach 5:00 PM.
Two hours 30 minutes a
What information does the mode of a data set provide?
Answer:
The frequency of a number
Step-by-step explanation:
The mode in a data set provides how frequent a number in a data set appears.
For example, take the following data set:
1, 2, 2, 3, 3, 3, 3, 4, 5, 6, 7, 7, 8, 8, 8, 9, 10
The mode of this data set would be 3.
This is because 3 is repeated more frequently in the data set than any other number.
1, 2, 2, 3, 3, 3, 3, 4, 5, 6, 7, 7, 8, 8, 8, 9, 10
I hope this helps!
Lance's shoe collection is made up of Nike's and Adidas. Altogether , he has 17 pairs of shoes, but he has 3 more Nikes than he has Adidas. How many does he have of each pair?
Write two equations
state your solution
Answer:
Adidas pairs are 7, nikes are 10
Step-by-step explanation:
10n+7a=shoes total
7x+3=Nikes x=7
PLZ HELP 10 POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
880cm²
Step-by-step explanation:
Find areas and add them first the one at the bottom middle. 20x8 = 160. Now above it 20x10 = 200. To the left 8x10 = 80. To the right 8x10 = 80. Go up 8x20 = 160. Last block up 10x20 = 200. Add the areas => 880cm²
What is the solution to the following equation? x+(-21)=8
Answer:
x is 29.
Step-by-step explanation:
x-21=8 (same equation to solve)
+21 +21 (add 21 to both sides)
-------------
x= 29
what is the solution to the system graphed below? (1,1) (1,-1) (-1,1) (-1,-1)
Answer:
(-1, -1)
Step-by-step explanation:
The two lines intersect in the third quadrant, at (-1, -1), so that is the solution.
The solution to the system graphed below is (-1,-1) which is option D.
What is a graph?It is a collection of various points and it is used to draw lines of different functions or equations by finding out two points and by joining them.
How to identify points on the graph?We have to check solution of the system graphed in the question. There are two lines graphed. Both are intersecting each other at one point. A solution of a line exists at a point where they are intersecting. If we try to find the point then we need to identify origin first and then according to x and y axis points will be found. The required points will be (-1,-1).
Hence the solution of graphed system is (-1,-1).
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Find the slope y-intercept and equation for the data in the table and in the graph can someone please help me
Answer:
The y-intercept is 0
The equation is y=3x
Step-by-step explanation:
we know that
The equation of the line into slope intercept form is equal to
[tex]y=mx+b[/tex]
where
m is the slope
b is the y-coordinate of the y-intercept
Remember that the y-intercept is the value of y when the value of x is equal to zero
Observing the table
For x=0, y=0
therefore
b=0
Find the slope between the points (0,0) and (1,3)
The formula to calculate the slope between two points is equal to
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
substitute
[tex]m=\frac{3-0}{1-0}[/tex]
[tex]m=3[/tex]
the equation is equal to
[tex]y=3x+0[/tex]
[tex]y=3x[/tex]
Carl bought 19 apples or 2 different varieties to make pies. The total cost of apples was $51.00. Granny Smith apples cost $3.00 per pound and Gala apples cost $2.50 per pound. How man pounds of Granny apples did Carl buy?
Answer:
12 Granny Smith and 7 Gala apples (total 19 apples)
Explanation:
Let me put this equation first:
X: number of Granny Smith apples
(19-X): number of Gala apples
cos
t
=
X
⋅
0.25
+
(
19
−
X
)
⋅
0.30
5.10
=
0.25
X
+
5.70
−
0.30
X
5.10
−
5.70
=
−
0.05
X
−
0.60
=
−
0.05
X
and
X
=
12
Number of Granny Smith apples is 12.
The rest (19-12) is number of Gala apples. Number of Gala apples is 7.
This satisfies your equation.
Number of Granny Smith apples 12 and number of Gala apples is 7.
The line plot shows the weights of packages of meat available at a grocery store. The 3 lightest packages cost $4.40 per pound. The remaining packages cost $4.80 per pound. If a customer buys all available packages, how much does she spend? Choose the numbers to complete the statements.
Answer:
$42.40
Step-by-step explanation:
The horizontal axis is in fractions.
The three lightest are two [tex]\frac{5}{8}[/tex] pounds & one [tex]\frac{6}{8}[/tex] pounds. Each cost $4.40 per pound.
So cost = 4.40(5/8+5/8+6/8) = $8.8
Remaining costs 4.80 per pound. We add up the remaining and multiply by 4.80 to get their cost.
cost = [tex]4.80(1+1\frac{1}{8}+1\frac{1}{8}+1\frac{1}{8}+1\frac{2}{8}+1\frac{3}{8})=33.6[/tex]
Hence, total cost = 8.8 + 33.6 = $42.40
Answer:
40.40 is actually the answer for the last one and the first one is 8.80
then the second one is 33.60 so yw
Step-by-step explanation:
15 POINTS
Area of a square is 20.4 feet ^2. Find x.
Length is x.
Width is 3.4 ft.
I think the answer would be 122.4
Okay lol I need help (T ^ T)
Answer:
The first one is 179. The second one is 162 The second one is shorter by 17 miles.
Step-by-step explanation:
I got that because 1:53+28=81+98=179 2:28+49=77+85=162
179-162=17
Can I get brainliest
a bag of cement mix has a mass of 15.6 kilograms which number sentence will tell how many grams of mass the bag of cement mix has
A 15.6 x 1,000
B15.6 ÷ 100
C15.6 ÷1,000
D15.6 x 100
Answer:
Option A. 15.6 x 1,000
Step-by-step explanation:
we have that
A bag of cement mix has a mass of 15.6 kilograms
Remember that
1 kg=1,000 g
Convert Kg to g
15.6 kg=15.6*1,000=15,600 g
Match the measureable quantity giving by its formula with the appropriate unit(s)
volume =(length)(width)(height)
area = (length)(width)
speed= distance/time
perimeter=2 (length)+2 (width)
cubic centimeters
square meter
meter per second
meter
Answer:
See explanation
Step-by-step explanation:
Volume is three dimensional so it is measured in cubic units
Volume =(length)(width)(height) [tex]\to[/tex] cubic centimeters
Area is two dimensional, it is measured in square units.
Area = (length)(width) [tex]\to[/tex] square meter
Speed is derived from two basic quantities (length and time). It is measured is meters per seconds.
Speed= distance/time [tex]\to[/tex] meter per second
Perimeter is distance around an object. It is measured in meters
Perimeter=2 (length)+2 (width) [tex]\to[/tex] meter
Matching Quantities with Units
What is the difference between a sequence and a series? What is the difference between a geometric and an arithmetic sequence?
Answer:
Sequence: ordered list of numbers
Series: sum of the terms of a sequence
Arithmetic sequence: the difference between the terms is constant
Geometric Sequence: the ratio between the terms is constant
Step-by-step explanation:
The difference between a series and a sequence is that a sequence is a list of numbers that follow a pattern or rule.
For example
1, 3, 5, 7, 9...
[tex]a_n = 1 +2(n-1)[/tex]
On the other hand, a series is the sum of the terms of a sequence.
1 + 3 + 5 + 7 + 9 + ...+ n
[tex]\sum_{n=1}1 +2 (n-1)[/tex]
----------------------------------------------------------------------------------
The difference between an arithmetic sequence and a geometric sequence is that:
for the arithmetic sequences the subtraction of:
[tex]a_n - a_{n-1} = d[/tex]
Where d is a constant called difference..
In the Arithmetic sequence the difference between the terms is constant
For the geometric sequences, it is satisfied that the quotient between two consecutive terms is:
[tex]\frac{a_{n-1}}{a_n} = r[/tex]
Where r is a constant value called common ratio
In geometric Sequence the ratio between the terms is constant
Final answer:
A sequence is an ordered list of numbers, while a series is the sum of the terms of a sequence. An arithmetic sequence has a constant difference between terms, while a geometric sequence has a constant ratio.
Explanation:
Difference Between Sequence and Series
A sequence is an ordered list of numbers following a specific pattern, while a series is the sum of the terms of a sequence. For example, in the sequence 2, 4, 6, 8, ..., each term is 2 more than the previous term. However, when these terms are added together, for instance, 2 + 4 + 6 + 8, we get a series.
Difference Between Geometric and Arithmetic Sequences
An arithmetic sequence is characterized by a constant difference between consecutive terms. For example, the sequence 3, 7, 11, 15, ... has a common difference of 4. On the other hand, a geometric sequence has a common ratio between consecutive terms, such as the sequence 2, 6, 18, 54, ... where each term is 3 times the previous term.
Which triangle has a bigger area:
1. A triangle with sides measuring 300, 400, and 500.
2. A triangle with sides measuring 300, 400, and 700.
The 2nd triangle has a bigger area, because since it has 2 sides that are equal to the first and its 3rd side is larger than the 1st triangle, it would have larger area, because it would have to have a larger area to have a larger side.
Answer:
Which triangle has a bigger area:
1. A triangle with sides measuring 300, 400, and 500.
2. A triangle with sides measuring 300, 400, and 700.
Step-by-step explanation:
The second triangle has the largest area, because although the two triangles have two sides with the same size, the third is larger in the second triangle, 700 of the second, versus 500 of the first, and hence the area is also greater than in the first.
If someone could help me with this it would be much appreciated as it is gcse practise and I don’t get it
Answer:
Bryan's answer is wrong because when we calculate the equation, the product will not be 36, since 2³ will be equal to 8, and 3² will be equal to 9, the product of 8 and 9 is 72, twice as much as the result we needed.
The correct equation here should be: 2² × 3² = 36
2² × 3² = 4 × 9 = 36
SHORT ANSWER: 36
HOPE IT HELPS LOVE.
Help in linear pairs and vertical angles
elg=124°
eld=2x
elg+eld=180°=>eld=180°-124°=56°/eld=2x=56°=>x=56°/2=28°
eld+dlh=180°=>dlh=180°-56°=124°
hlg+dlh=180°=>hlg=180°-124°=56°
Answer:
from the figure we get x = 28
Step-by-step explanation:
Proof is given below
Statements Reason
1). <ELG = 124 Given
2). <ELD = 2x Given
3). <ELG and ELD are linear Definition of linear pair
a pair
4). m<ELD + m<ELG = 180 Sum of linear pair angles 180
5). 2x + 124 = 180 Substitution
6). 2x = 180 - 124 = 56 Subtraction property
7). x = 28 Division property
give me a list of factors for 50?
Answer:
1, 2, 5, 10, 25, 50
Step-by-step explanation:
Solve for y
220-y = 29
Answer:
y = 191
Have a great day :)
Hope this helps !
5INGH
Step-by-step explanation:
220 - y = 29
( - 220 from both sides )
- y = - 191
( × -1 on both sides )
y = 191
Answer:
y= 191
Step-by-step explanation:
This is a one step process:
Subtract 220 from both sides to get y by itself, and you have your answer! (since both sides are negative mulltipy both, to get a positive solution)
Which equation is NOT a linear? function
Answer:
Step-by-step explanation:
A linear function involves two variables which are in their first power form, such as x and y.
A nonlinear function may include two variables, one or more of which are of the 2nd or higher power.
Unfortunately, you did not share the possible answer choices, so I cannot be more specific. I'd suggest you repost this question, with answer choices, if you still want guidance here.
y = x^2 - 2 is NOT a linear function, because of that power (2). Note how all the other choices show x to the 1st power.
A linear function is represented by an equation in the form y = a + bx and generates a straight line when plotted on a graph. Any equation that does not fit this form, such as quadratic, exponential, trigonometric, or inverse functions, which generate curves when plotted, are not linear functions.
Explanation:The question asks which equation is not a linear function. A linear function is one that can be represented by an equation in the form y = a + bx, where 'a' and 'b' are constants and 'x' is the independent variable. This form of function generates a straight line when plotted on a graph, with 'b' representing the slope of the line and 'a' representing the y-intercept, where the line crosses the y-axis.
An equation that does not fit this form is not a linear function. For instance, a quadratic function, represented by a second-order polynomial equation such as y = ax^2 + bx + c, is not linear. These types of equations generate curves when plotted on a graph, not straight lines.
Futhermore, any other function types such as exponential, trigonometric, or inverse, which generate curves that are not straight lines when plotted, are also not linear functions.
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Help i'm not good at finding other measurements!!
A triangle has an area of 221.16 square inches. The height of the triangle is 29.1 inches. What is the length of the triangle?
Answer:
15.2
Step-by-step explanation: