Answer: Sum = 5000005, Difference = 4999995
Explanation:
Number = 35086941
Place value = 5000000
Face value = 5
Sum = 5000000 + 5
= 5000005
Difference = 5000000 - 5
= 4999995
Must click thanks and mark brainliest
Express the following as two odd primes
A)44
B)36
C)24
D)18
Help me I cannot understand
Answer:
1) 44
a) 7 + 37
b) 3 + 41
c) 13 + 31
2) 36
a) 5 + 31
b) 7 + 29
c) 17 + 19
3) 24
a) 5 + 19
b) 7 + 17
c) 11 + 13
4) 18
a) 5 + 13
b) 7 + 11
Expressing the numbers as sum of two odd primes we have,
44 = 41+3 = 37+7 = 31+1336 = 31+5 = 29+7 = 23+13 = 19+1724 = 19+5 = 17+7 = 13+1118 = 13+5 = 11+7What is Prime Number?Prime numbers are numbers which are only divisible by 1 and itself.
Prime Numbers are: 2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,...
What is Odd number?Odd numbers are numbers which are not divisible by 2.
Odd numbers are give by: 1,3,5,7,9,11,.....
2 is the only even number which is prime. So all prime numbers except 2 are odd numbers.
So odd prime numbers are given by: 3,5,7,11,13,17,19,23,29,31,37,41,43,47,....
Expressing the give numbers as the sum of odd prime numbers we get,
A) 44
41+3 = 44
37+7 = 44
31+13 = 44
B) 36
31+5 = 36
29+7 = 36
23+13 = 36
19+17 = 36
C) 24
19+5 = 24
17+7 = 24
13+11 = 24
D) 18
13+5 = 18
11+7 = 18
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If $10,500 is borrowed for 5 years at an annual simple interest rate of 1.73%, how much interest will be paid if the entire loan is paid off at the end of the fifth year? Enter the answer in dollars and cents, and round to the nearest cent, if needed. Do not include the dollar sign. For example, if the answer is $0.61, only the number 0.61 should be entered.
Answer:
Step-by-step explanation:
So, yearly $2100 is paid, plus the 1.73% interest, so 1.73% interest is $2136.33every year interest stacks on itself so youll take 1.73% of the year 1 total with interest.
Year 1 total: $2136.33
Year 2 total:$2173.29
Year 3 total:$2210.89
Year 4 total:$2249.14
Year 5 total:$2288.05
Total Paid After 5 years:$11057.70
Year 1 total interest:$36.33
Year 2 total interest:$36.96Year 3 total interest:$37.60Year 4 total interest:$38.25Year 5 total interest:$38.91
Total Interest paid after 5 years:$188.05
Kara Danvers (Supergirl) has always relied on her strength to win fights. But what happens when she meets an alien just as strong? Her sister is training her to be a more technical fighter so that Supergirl can meet any challenge. The data below record the significant strikes during randomly selected training sessions 6 months apart. Is Kara showing improvement in her fighting?
Strikes (pre): 29 32 44 34 19
Strikes (post): 51 45 68 92 64
Write the Hypotheses:
H_0:_______________, the mean difference in ___________ between ____________ and ______________ is _______________
H_a:_______________, the mean difference in ___________ between ____________ and ______________ is _______________
Answer:
H0 : The mean difference in strikes between pre and post strike is equal to 0
H1 : The mean difference in strikes between pre and post strike is not equal to 0
Step-by-step explanation:
The scenario described abibe meets the condition for a paired (dependent) sample t test as the same subject is involved in both the pre and post strike data. Therefore measurement from the strike(pre) must be paired with measurement from the strike(post) data.
For a paired test involving a single subject ; The mean difference in the two sample is 0 ; that is both are the same while the alternative negates the null by claiming that the mean difference is not equal to zero.
figure a is a scale image of figure b. whats the value of x
Answer:
30
Step-by-step explanation:
We can use a ratio to solve
45 x
------ = ------
27 18
Using cross products
45*18 = 27x
810=27x
Divide each side by 27
810/27 = 27x/27
30 =x
(cos2a-cos2b)² + (sin2a+sin2b)²=4sin²(a+b)
Answer:
LHS = (cosA+cosB)²+(sinA+sinB)²
= (cos²A+2cosAcosB+cos²B)+
(sin²A+2sinAsinB+sin²B)
/* By algebraic identity:
(x+y)² = x²+2xy+y² */
Rearranging the terms, we get
= (cos²A+sin²A)+(cos²B+sin²B)+2(cosAcosB+sinAsinB)
= 1+1+2cos(A-B)
________________________
we know that,
i) cos²x + sin²x = 1
ii) cosxcosy+sinxsiny = sin(x-y)
________________________
= 2+2cos(A-B)
= 2[1+cos(A-B)]
\boxed {1+cos\theta = 2cos^{2}\frac{\theta}{2}}
1+cosθ=2cos
2
2
θ
= 2\times 2cos^{2}\frac{(A-B)}{2}2×2cos
2
2
(A−B)
=4cos^{2}\frac{(A-B)}{2}4cos
2
2
(A−B)
=RHSRHS
Therefore,
(cosA+cosB)²+(sinA+sinB)²
=4cos^{2}\frac{(A-B)}{2}4cos
2
2
(A−B)
i need it! urgent! pls someone help!
Option 4 is correct
The relationship is:
y = 3/4 x
Please help ASAP help please due soon
Answer:
75 in^2
Step-by-step explanation:
The surface area is the sum of the areas
Area of the square:
A = s^2 = 5^2 =25
Area of one triangle
A = 1/2 bh = 1/2 (5)(5) = 25/2
There are 4 triangles
4* (26)/2 = 50
The sum is 25+50 = 75
Answer:
75 in2
Step-by-step explanation:
[tex]===========================================[/tex]
Formulas:
Area of a rectangle/square:
[tex]A=lw[/tex]
Area of a triangle:
[tex]A=bh\frac{1}{2}[/tex]
[tex]===========================================[/tex]
Square:
5*5= 25 in.
Triangles (4):
[tex]5*5*\frac{1}{2} =12.5[/tex]
Multiply by 4.
12.5*4= 50 in.
Add all them up.
25+50= 75
Which of the following pairs of functions are inverses of each other?
OPTION C is the correct answer.
What is the value of x
Answer:
[tex]x=61^{\circ}[/tex]
Step-by-step explanation:
The sum of the interior angles of a triangle add up to 180 degrees. Therefore, we have the following equation:
[tex]x+67+52=180,\\x=180-67-52=\boxed{61^{\circ}}[/tex]
Solve the following word problems:
Answer:
His loss is 90
He sold it 1710
Step-by-step explanation:
1) 1800x5/100= 90
2) 1800-90=1710
Answer:
Step-by-step explanation:
CP = ₹1800
Loss = 5%
[tex]SP =\frac{100-Loss}{100}*CP\\\\= \frac{100-5}{100}*1800\\\\=\frac{95}{100}*1800\\\\[/tex]
= ₹ 1710
Loss = CP - SP
= 1800 - 1710
= ₹ 90
i need help asap....................
Answer:
what even is that..
Step-by-step explanation:
What is the approximate area of the figure below?
A. 27 square units
B. 29 square units
C. 30 square units
D. 36 square units
Answer:
C : 30 SQUARE UNITS
when servicing a heating boiler and radiators, a plumer knows that the time he will take is given by the formula
time = 1 hour + 45 minutes per radiator
he charges his costumer a call-out fee of £30, plus £20 per hour
how much should a costumer be charged for servicing a heating boiler and four radiators
Answer:
£110
Step-by-step explanation:
We know how much time it takes for a boiler and a radiator, and we need to know how much it will cost for 1 boiler and 4 radiators. We have an initial cost of £30, and since hes doing a boiler - which we know takes an hour - we can already add £20 for a start of £50.
Now, there are 4 radiators, that take 45 minutes each. We need to use this equation:
[tex](45*4)/60[/tex]
We divide by 60 because there are 60 minutes in an hour, and he charges by hour. So:
[tex]180/60=3[/tex]
Now, to find out how much to charge, we need to figure out how much to add to the £50. Since it's £20 an hour, and it takes 3 hours to do the 4 radiators, we need to multiply:
[tex]3*20=60[/tex]
Now we add our totals for a grand total of...
[tex]50+60=110[/tex]
Juan, Pedro y Luis construyen un muro de 60 metros de largo. Juan construye el triple de Pedro y Luis el doble de Juan. ¿Cuántos metros construyó cada uno?
Answer:
Pedro make 6 m of wall, Juan make 18 m of the wall and Luis make 36 m of the wall.
Step-by-step explanation:
Juan, Pedro and Luis build a 60 meter long wall. Juan builds triple the size of Pedro and Luis double the size of Juan. How many meters did each one build?
Total length of the wall is 60 m.
Let Pedro make p length of the wall.
Juan make = 3 p
Luis make = 6 p
So,
According to the question
60 = p + 3 p + 6 p
60 = 10 p
p = 6
So, Pedro make 6 m of wall, Juan make 18 m of the wall and Luis make 36 m of the wall.
PLS how to do this 3 sums
Answer:
Step-by-step explanation:
7) PQ // RS, RQ is transversal
x = 38 {Alternate interior angles are congruent}
In ΔPQR ,
x + y + ∠P = 180 {Angle sum property of triangle}
38 + 90 + y = 180
128 + y = 180
y = 180 - 128
y = 52
9) Construct XY // AB
XY // AB & AC is transversal
∠1 = ∠4 ---------(I) {alternate interior angles are equal}
XY // AB & BC is transversal
∠3 = ∠5 ---------(II) {alternate interior angles are equal}
∠1 + ∠2 + ∠3 = 180 {straight line angles}
∠4 + ∠2 + ∠5 = 180 {From (I) & (II) }
Sum of three angles of triangle is 180.Hence proved.
Use the drawing tool(s) to form the correct answers on the provided number line. Plot the value(s) on the number line where this function is equal to zero: f(x) = (x + 5)(x − 1).
Its on a number line :)
Answer:
Step-by-step explanation:
Hope this Helps ;)
SOMONE PLEASEE HELPPP MEEEEEEEE!!!
Answer:
? = 36 degrees
Step-by-step explanation:
To find this measure, we use the appropriate trigonometric ratio
from the question, the angle faces the length 26 which represents the opposite
the length 44 faces the angle 90, which is the hypotenuse
The trigonometric ratio that connects both is the sine
The sine of an angle is the ratio of the opposite to the hypotenuse
Thus;
sine ? = 26/44
? = arc sine (26/44)
? = 36
Mrs. Dominguez asked her students to plot the number of books they read over the summer
Answer: Count the dots located on the blot labeled at 2.
There are 6 dots, which mean 6 students read 2 books.
The answer is 6.
Step-by-step explanation:
please help! see question below :)
Answer:
I have no clue sorry bro.
Use the work shown below to find the simplified product
Given:
The expression is:
[tex]\dfrac{25x^2}{2x+6}\cdot \dfrac{2}{5x}[/tex]
To find:
The simple product.
Solution:
We have,
[tex]\dfrac{25x^2}{2x+6}\cdot \dfrac{2}{5x}[/tex]
It can be written as:
[tex]=\dfrac{5\times 5\times x\times x}{2(x+3)}\cdot \dfrac{2}{5x}[/tex]
Cancel out the common factors.
[tex]=\dfrac{5\times x}{x+3}[/tex]
[tex]=\dfrac{5x}{x+3}[/tex]
Therefore, the correct option is C.
I need help whats the answer ?
Here, we're looking for the unit rate, or how many words James can type in 1 minute.
Let's use 300 words in 10 minutes to find words per minute.
300 words / 10 minutes = 30 words per minute
Hope this helps!
Answer:
30 words per minute
Step-by-step explanation:
Take the number of words and divide by the number of minutes
150/5 = 30
300/10 =30
450/15 = 30
600/20 = 30
30 words per minute
Point P is the incenter of DEF. Point P is the point of concurrency of the angle bisector. Find PV
Answer:
12
Step-by-step explanation:
because line FB divides triangle f v w into two equal halves therefore line WP is equal to line PV which is equal to 12
The required value of the PV is 12 in triangle DEF where p is the incenter.
Point P is the incenter of ΔDEF. Point P is the point of concurrency of the angle bisector. PV to be determined.
The incenter of a triangle is the intersection point of the internal angle bisectors of the triangle. In additional expressions, it can be clarified as the point where the internal angle bisectors of the triangle and perpendicular distance from this point to any of the sides of triangle is the same.
Since in triangle FGH, P is the incenter and PW, PV,PX is perpendicular distance to the sides HF, GF and GH respectively.
From image,
PW = 12
So by the property of incenter, perpendicular distance from this point to any of the sides of triangle is the same.
PW = PV
PV = 12
Thus, the required value of the PV is 12 in triangle DEF where p is the incenter.
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FOR EASY BRAINLIEST ANSWER THE QUESTION BELOW:
Write an equation for the line . Write it in the form : Ax + By = C 14 ) Through (1, - 2); m = - 5
Answer:
5x+y=3
Step-by-step explanation:
Slope = -5,
y intercept b=-2-(-5)×(1)=3
so, y=-5x+3
or, 5x+y=3
Answered by GAUTHMATH
1. Which of the following intervals shows the graph
increasing? Select all that apply.
PLEASE HELP ASAP PLS
Answer:
Options (A) and (C)
Step-by-step explanation:
Parts of the function will show the increase where y-values are increasing.
From the graph attached,
We see two parts of the graph are showing the increasing trend.
Intervals where the y-values (Values of the function) are increasing,
-2 < x < -1
1 < x < ∞
Therefore, Options (A) and (C) are the correct options.
Evaluate the expression x=-7. x2+4x-5
[tex]\sf \: Given \: x = - 7[/tex]
[tex]\sf \: Substitute \: the \: value \: of \: x \: as \: - 7 \: in \: the \: eq.\: \: {x}^{2} + 4x - 5[/tex]
[tex]\sf \: {x}^{2} + 4x - 5 \\ \sf = ( - 7) ^{2} + 4( - 7) - 5 \\\sf = 49 - 28 - 5 \\ \sf =\underline 1\underline6[/tex]
Answer ⟶ [tex]\boxed{\bf{16}}[/tex]
Can you answer this math homework? Please!
Step-by-step explanation:
The second option is the answer.
Need help!
8 ÷ 2 (2 + 2) =
Answer:
= 16
Step-by-step explanation:
= 8 \div 2 . 4
= 16
Answer:
[tex]8\div \:2\left(2+2\right)[/tex]
[tex]=8\div \:2\cdot \:4[/tex]
[tex]=16[/tex]
OAmalOHopeO
If a right circular cone is intersected by a plane only at its vertex, as in the
picture below, what shape is produced?
o
A. A line
B. A circle
Ο ΟΟ
C. An ellipse
D. A point
O
E. A parabola
F A hyperbola
Answer:
D. A point
Step-by-step explanation:
SOMEONE PLEASE HELP ME!!!!! I NEED THIS!
Answer:
QR ≈ 16.3
Step-by-step explanation:
Since the figures are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{MN}{QR}[/tex] = [tex]\frac{MP}{QT}[/tex] , substitute values
[tex]\frac{40.3}{QR}[/tex] = [tex]\frac{57}{23}[/tex] ( cross- multiply )
57 QR = 926.9 ( divide both sides by 57 )
QR ≈ 16.3 ( to the nearest tenth )
(1 x 10 ^ -3) ÷ (5 x 10 ^ 2) in standard form Plz ANSWER QUICK
Answer:
2 × 10⁻⁶
Step-by-step explanation:
( 1 × 10⁻³ ) ÷ ( 5 × 10² )
→ Rewrite into normal form
0.001 ÷ 500
→ Simplify
2 × 10⁻⁶
Answer:
[tex]\frac{1}{500,000}=2*10^{-6}[/tex]
Step-by-step explanation:
[tex]\frac{1*10^{-3} }{5*10^{2} } =\frac{1}{5} *10^{-3-2}=\frac{1}{5} *10^{-5} = 500,000^{-1}= \frac{1}{500,000} = 2*10^{-6}[/tex]
We have:
[tex]\frac{a^{x} }{a^{y} } = a^{x-y}[/tex]
In this case: [tex]\frac{10^{-3} }{10^{2} } = 10^{(-3)-2} =10^{-5} =\frac{1}{100,000}[/tex]
