Answer:
They are Called Intergers
Step-by-step explanation:
Can someone please help on both questions!! Thank you
Question 7
Answer: A) 15---------------------
Work Shown:
angle B = angle D = 56
angle C = angle F = 64
The missing angle A adds with B and C to get 180
A+B+C = 180
A = 180-B-C
A = 180-56-64
A = 60
Since angles B and D are congruent, and C and F are congruent, this must mean angle A = angle E. I'm using the angle angle (AA) similarity rule.
angle E = angle A
3x+15 = 60
3x = 60-15
3x = 45
x = 45/3
x = 15
Side note: I'm not sure why your teacher marked angle E as the same as angles C and F. They should have used another angle marker to indicate that angles A and E are the same.
================================================
Question 8
Answer: B) 17------------------------------
Work Shown:
Triangle ABC is congruent to triangle EDF. The order is important. We have A first, then B, then C for ABC. Also, we have E first, then D, then F for EDF.
Therefore, we have these three pairings
angle A = angle Eangle B = angle Dangle C = angle FWe'll first need angle C
A+B+C = 180
C = 180-A-B
C = 180-42-108
C = 30
which we'll then solve for x
angle F = angle C
4x-4 = 30
4x = 30+4
4x = 34
x = 34/4
x = 8.5
which doubles to
2x = 2*8.5
2x = 17
the sum of squares of three consecutive numbers is 77 find the numbers
Answer:
4,5,6 are the three consecutive numbers. 16, 25 and 36 are their squares.
Step-by-step explanation:
Let the three consecutive numbers be x, (x+1), (x+2)
Now, the squares of these three numbers are [tex]x^{2} ,(x+1)^{2} ,(x+2)^{2}[/tex]
Sum = 77
∴by the problem ,
[tex]x^{2} +(x+1)^{2}+(x+2)^{2} = 77\\x^{2} +(x^{2} +2x+1)+(x^{2}+4x +4) = 77\\x^{2} +x^{2} +2x+1+x^{2} +4x +4 = 77\\3x^{2} +6x+5 = 77\\3x^{2} +6x = 77-5\\3x^{2} + 6x = 72\\3x^{2} +6x-72= 0\\[/tex]
{Taking 3 common }
[tex]x^{2} +2x- 24 = 0\\[/tex]
{By factorization}
[tex]x^{2} +2x- 24 =0\\ x^{2} +6x-4x-24=0\\x(x+6)-4(x+6)=0\\(x+6)(x-4)=0\\[/tex]
Therfore,
[tex]x= -6,4\\[/tex]
X can't be negetive
∴ [tex]x =4\\x+1=5\\x+2=6[/tex]
The squares of the three consecutive numbers are 16, 25, 36
The three consecutive numbers whose sum is 77 are 4, 5, 6
In a hypothesis test, standard error measures ____.
a. variability for the sample data
b. the amount of difference expected just by chance
c. the size of the treatment effect
d. the likelihood of a Type I or Type II error
Answer:
The correct answer is:
the amount of difference expected just by chance (b)
Step-by-step explanation:
Standard error in hypothesis testing is a measure of how accurately a sample distribution represents a distribution by using standard deviation. For example in a population, the sample mean deviates from the actual mean, the mean deviation is the standard error of the mean, showing the amount of difference between the sample mean and the actual mean, occurring just by chance. Mathematically standard error is represented as:
standard error = (mean deviation) ÷ √(sample size).
standard error is inversely proportional to sample size. The larger the sample size, the smaller the standard error, and vice versa.
plz helpaaaaaaaaaaaa
Answer:
Hey there!
1 4/9x+y=2
13x+9y=18
Let me know if this helps :)
The Answer is B.
because
1 4/9x+y=2
13x+9y=18
Hope this helps!
Evaluate a^2b^2c^2 for a=2, b=3, and c=4
Answer:
576
Step-by-step explanation:
a²b²c² = 2² * 3² * 4² = 4 * 9 * 16 = 576
HELP ASAP!!!
Which of the numbers below could be terms in the sequence an = 7n+4?
Check all that apply.
A. 36
B. 24
C. 46
D. 32
Answer:
C. 46, D. 32
Step-by-step explanation:
Each term is obtained by adding 4 to a multiple of 7.
Subtract 4 from each choice:
A. 32
B. 20
C. 42
D. 28
Only 42 and 28 are multiples of 7, so the answer is:
C. 46, D. 32
Answer: OPTION C AND D
Step-by-step explanation:
Plug all the numbers given into the expression of sequence in order to find out which number fits in the sequence.
A. 36
an=7n+4
36=7n+4
32=7n
n=32/7
INCORRECT. It is a fraction and it should be integer when showing which term is it in the sequence. (i.e. the first term, second term)
B. 24
an=7n+4
24=7n+4
20=7n
n=20/7
INCORRECT. Same as the reason above, it is a fraction and it should be integer when showing which term is it in the sequence. (i.e. the first term, second term)
C. 46
an=7n+4
46=7n+4
42=7n
n=6
CORRECT. It is a integer.
D. 32
an=7n+4
32=7n+4
28=7n
n=4
CORRECT. It is a integer.
Hope this helps!! :)
Please let me know if you have any question
-8/9x +7/10=-119/30
solve pls
Answer:
x = 5.25
Step-by-step explanation:
subtract 7/10 from both sides of the equation
-8/9x +7/10 - 7/10 = -119/30-7/10
-8/9x = -119-21/30
-8/9x = -140/30
the negative signs cancels out and the right hand side reduced to the lowest tern
8/9x = 14/3
multiply both sides by the reciprocal of 8/9 which is 9/8
9/8 * 8/9x = 14/3 * 9/8
x = 21/4
x = 5.25
Can someone please help me with this and give an explenation please
Answer: show your work and give a clear and understanding explination use a caculator and ask for extra credit work and extra help
Step-by-step explanation:
* make sure to give a word for word explinations and make sure your answer is clear and understanding. If you arent sure wether your answer is correct or not ask for extra credit work and show your work. Try using a caulator
Find a three-digit palindromic number which is exactly 19 times the sum of its digits
the number that can exactly 19 is 38
-8
-7
-6
-5
-4
+
0 1 2
-3
-2
-8
-7
-6
-5
-4
-3
-2
-1
0 1 2
-8 7
-6 -5
-4
-3
.-2
-1
0 1
2
-8
+
2
-7
-6
-3
-2
-1
0
1
Compare and contrast the four number lines. Decide which number line doesn't belong. Justify your reasoning.
Answer:
take your pick. Each has its own reason.
Step-by-step explanation:
As with a lot of "doesn't belong" problems, the one that is different depends on your criteria. In the attached figure, each one "doesn't belong" for a different reason. Those reasons are listed below each number line.
__
I might choose the lower left: "addition, not subtraction", as it is the only one with arrows in the same direction. That makes its difference from the others more obvious, perhaps.
A fruit juice company includes 1.406 ounces of pineapple juice in a 6.45-ounce bottle of a mixed fruit juice. How much of the bottle of mixed fruit juice is NOT pineapple juice
Answer: 5.044 0z is not pineapple juice
Step-by-step explanation:
total amount of mixed fruit juice: 6.45 oz (oz stands for ounce)
pineapple juice: 1.406 oz
total - pineapple juice=not pineapple juice
6.45 - 1.406=5.044 oz
Hope this helps!! :)
Please let me know if you have any questions
Find the midpoint of the segment with the given endpoints.
(-4,2) and (10,10)
The midpoint is_
Venita is factoring the expression 32 a b minus 8 b. She determines the GCF and writes the factored expression as 8 b (4 a minus 0). Which best describes Venita's error? She incorrectly determined the GCF. She subtracted the GCF from the second term in the expression instead of dividing. She divided the GCF into the first term in the expression instead of subtracting. She divided each piece of the expression by different factors.
Answer:
She subtracted the GCF from the second term in the expression instead of dividing.
Step-by-step explanation:
Given the expression 32ab-8b, to find the common greatest factor, we will bring out a function that us common to both terms 32ab and 8b. To do that, we need to first find their individual factors as shown:
32ab = (2×2×2)×2×2×a×(b)
8b = (2×2×2×b)
From both factors, the common terms are the values in parenthesis i.e 2×2×2×b = 8b
Hence the GCF of the expression 32ab - 8b is 8b. On factoring out 8b from the expression we will have;
= 32ab - 8b
= 8b(32ab/8b - 8b/8b)
= 8b(4a-1)
Comparing the gotten equation with Venita's own, 8b(4a-0), we can say that she correctly factored out the GCF but her error was that she subtracted 8b from the second term of the expression instead of dividing by 8b. 8b-8b is what gives her 0 making her expression wrong. She should have divided her second term also by 8b to have 8b/8b which results in 1 instead of 0 that venita got.
Answer:b
Step-by-step explanation:
Match the meaning of each of the following expressions.
1. x added to the sum of five and seven
x - (8 + 2)
2. the sum of eight and two, subtracted from x
8 - x
3. eight added to x
x + (5 + 7)
4. eight subtracted from x
x - 8
5. eight minus x
x + 8
6. five subtracted from n
n - 5
7. the sum of x and itself
x + x
8. the difference of eight and two, added to x
5 - n
9. the sum of n and five
x + (8 - 2)
10. five minus n
n + 5
Answer:
1. x+(5+7)
2.x+ (8-2)
3. (x+8)
4. x-8
5. 8-x
6. 5-n
7.x+x
8. x+ (8-2)
9. n+5
10. n-5
Step-by-step explanation:
arrange tho following in ascending order: 2/9, 1/3, 5/12, 1/6
Step-by-step explanation:
5/12, 2/9, 1/6, 1/2 thats the answer
Answer:
2/9=0.22
1÷3=0.33
5÷12=0.41
1÷6=0.16
Step-by-step explanation:
5/12
1/3
2/9
1/6
Which statement about the number of earthquakes the
states had for the given time span is true?
State A had approximately 1,533 more earthquakes than
State B.
State B had approximately 1,533 more earthquakes than
State A
State A had approximately 3,362 more earthquakes than
State B.
State B had approximately 3,362 more earthquakes than
State A.
Answer:
State A had approximately 1,533 more earthquakes than State B.
Step-by-step explanation:
Earthquake: The term "earthquake" is determined as the surface shaking of the uppermost layer of the earth that often results from the absurd release of specific energy in the "earth's lithosphere" that tends to create "seismic waves". However, the intensity of the earthquake varies time to time and the weak tremor is rarely being noticed as compared to the higher ones.
Answer:
C
Step-by-step explanation: i took the test and got a 100%
somebody please help and give me the reasons i’ll mark u the brainliest
Reason 1: Given
We basically just restate the given information exactly word for word (symbol for symbol). It may seem redundant, but imagine this proof is something you give to your friend. So you want the proof to be independent and on its own.
=====================================
Reason 2: Addition Property of Equality
We're adding [tex]m \angle MON[/tex] to both sides of the first equation mentioned in statement 1.
=====================================
Reason 3: Substitution
The [tex]m\angle MON[/tex] on the right hand side is replaced with [tex]m\angle IKH[/tex]. This replacement is valid because of the second equation in statement 1.
=====================================
Reason 4: Angle Addition Postulate
This is the idea where we can glue two smaller angles to form a larger angle. Or we can go in reverse to break up a large angle into smaller pieces. This is similar to the segment addition postulate.
=====================================
Reason 5: Substitution
Statement 3 says that LOM+MON = JKI+IKH. Statement 4 says LOM+MON = LON. So this must mean LON = JKI+IKH. Then we use another substitution to say LON = HKJ
1. 2 |-9|
2. 4 |-4|
3. 1 |1|
4. 11 |11|
5. 9 |-2|
The absolute value is the distance the number is from zero. For example, the absolute value of -4 is 4 and the absolute value of 4 is 4. Also |-24| is 24.
The absolute value of -9 is 9. 2 times 9 is 18.
The absolute value of -4 is 4. 4 times 4 is 16.
The absolute value of 1 is 1. 1 times 1 is 1.
The absolute value of 1 is 11. 11 times 11 is 121.
The absolute value of -2 is 2. 9 times 2 is 18.
━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━
The opposite of a number is the difference it is from zero but on the other side (opposite sign). For example, the opposite of -5 is 5, and the opposite of 2 is -2.
11 is opposite of -11.
-8 is opposite of 8.
31 is opposite of -31.
-1 is opposite of 1.
-17 is opposite of 17.
━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━
♡ Hope this helped! ♡
❀ 0ranges ❀
3(-n+4)+5n=2n
a. n=3
b. no solution
c. infinitely many solutions
Answer:
no solutions
Step-by-step explanation:
3(-n+4)+5n=2n
Distribute
-3n +12 +5n = 2n
2n+12 = 2n
Subtract 2n from each side
12 = 0
This is never true so there are no solutions
Answer:
B. No Solution
Step-by-step explanation:
First, you'll want to distribute 3 through the parentheses (in other words, multiple the parentheses).
[tex]-3n + 12 + 5n = 2n[/tex]
Next, you collect the like terms, in this case, the like terms are -3n and 5n.
[tex]2n + 12 = 2n[/tex]
Finally, you will cancel equal terms on both sides of the equation (which is the 2n).
[tex]12 = 0[/tex]
This makes the statement false for any value of n. Meaning that your answer is B, no solution.
the perimeter of a right angled triangle is 30cm and its area is 30cm square then find the side of triangle
Perimeter = a + b + c = 30
Area = 1/2 x a x b = 30
Multiples of 30: 2, 3, 5, 6, 10, 12, 15
For perimeter c = 30- (a+b)
C= sqrt( a^2 + b^2)
Using the possible combinations of the above:
5 and 12:
C = sqrt(5^2 + 12^2) = 13
5 + 12 + 13 = 30 for the perimeter
Area = 1/2 x 5 x 12 = 30
The sides are 5, 12 and 13 cm
Answer:
12 cm, 5 cm, 13 cm
Step-by-step explanation:
Sides of triangle:
a, b, cPerimeter:
P= a+b+c = 30Area:
1/2ab = 30 ⇒ ab = 60As per Pythagorean theorem, side c= √(a²+b²):
a+b+c = 30a+b+ √(a²+b²) = 30a+b - 30= - √(a²+b²)(a+b - 30)²= (- √(a²+b²))²a²+b²+900 + 2ab - 60a - 60b = a²+b²Considering ab = 60
900+120=60a+60b ⇒ a+b = 17Again using ab= 60 to find out sides:
ab=60a(17-a)= 6017a - a² -60 = 0a² -17 a +60= 0Solving the quadratic equation, its positive root is:
a= 12Then we get the rest:
b = 17 - 12= 5c= 30 -17 = 13I also need help with 1,000,000 in exponential form , 10x10 , and 10,000 x10 please
Answer:
Step-by-step explanation:
To convert the value 1,000,000 to an exponential form means we are to write the value in multiples of 10. Breaking down the values in multiples of 10 will give;
1,000,000 = 10 * 10 * 10 * 10 * 10 * 10 (it is broken down into 6 places because the value contains 6 zeros)
Express in exponential form
1,000,000 = (10 * 10 * 10) * (10 * 10 * 10)
1,000,000 = (10³) * (10³)
1,000,000 = 10³⁺³
1,000,000 = 10⁶
Hence the value 1,000,000 in exponential form is expressed as 1 * 10⁶
For 10 * 10:
10 * 10 = 10¹ * 10¹
10 * 10 = 10¹⁺¹
10 * 10 = 10²
10 * 10 = 1 * 10²
The value of the expression 10*10 in exponential form is 1 * 10²
For 10,000 * 10:
10,000 * 10 = (10*10*10*10) * 10
10,000 * 10 = (10⁴) * 10¹
10,000 * 10 = 10⁴⁺¹
10,000 * 10 = 1 * 10⁵
Hence, The value of the expression 10000*10 in exponential form is 1 * 10⁵
Find the equation for the line parallel to y=x+3 which has the same y intercept as 2x+3y=12
Answer:
[tex]y=x+4[/tex]
Step-by-step explanation:
Two parallel lines will have the same slope:
[tex]y=mx+b[/tex]
This is the y-intercept equation, where m is the slope and b is the y-intercept:
[tex]y=x+3[/tex]
The slope is x, or 1x, so the parallel line is also x.
Find the y-intercept:
You do this by taking the equation given and solving for y:
[tex]2x+3y=12[/tex]
Isolate the variable y. Subtract 2x from both sides:
[tex]2x-2x+3y=12-2x\\\\3y=12-2x[/tex]
Isolate y by dividing both sides by 3:
[tex]\frac{3y}{3}=\frac{12}{3}-\frac{2x}{3} \\\\y=4-\frac{2}{3}x[/tex]
Rearrange in slope-intercept form:
[tex]y=-\frac{2}{3}x+ 4[/tex]
The y-intercept of this equation is 4.
Now make the equation using the given information:
[tex]y=x+4[/tex]
:Done
HELP PLEASE (image) Find the volume of this triangular prism.
the answer is 235 cubic meters
Answer:
V = 240 m^3
Step-by-step explanation:
The volume of a triangular prism is
V = Bh where B is the area of the base and h is the height
B = the area of the triangular base
B = 1/2 bh
B = 1/2 *5*12
B = 30 m^2
The volume is
V = 30 * 8
V = 240 m^3
Which statement is true about f(x) = -6|x+5| - 2?
Answer:
a :)
Step-by-step explanation:
Name two pairs of opposite rays, please.
Answer:
Ray DE and Ray AE
Step-by-step explanation:
Ray AE and ray CE are the required pair of opposite rays. Option A is correct.
Given that,
A figure has shown, Four rays have been emerging out from a single point E. It is to be determined that which pair of rays are pair of opposite rays.
What is a Line?
A line can be defined by the shortest distance between two points is called a line.
Here, as shown in the figure,
Four trays are emerging out from point E namely, AE, BE, CE, and DE. Rays AE and CE or Ray DE and BE both are pairs of opposite rays
Thus, ray AE and ray CE are the required pair of opposite rays. Option A is correct.
Learn more about lines here:
brainly.com/question/2696693
#SPJ2
What is x? will give brainliest whoever answers first and correctly
Answer:
[tex]x = -8[/tex]
Step-by-step explanation:
We can solve for x by isolating it on one side of the equation.
If we're given the equation [tex]3x + 5 - x = x-3[/tex], we can simplify it down.
First let's combine like terms on the left side.
[tex]2x + 5 = x-3[/tex]
Now subtract x from both sides:
[tex]x + 5 = -3[/tex]
Subtract 5 from both sides:
[tex]x = -8[/tex]
Hope this helped!
Answer:
-8
Step-by-step explanation:
Simplify to 2x + 5 = X - 3
Subtract and you end up with x = -3 - 5
If Fx) = x - 7 and G(x) = x^3, what is G(F(x))?
A. x^2(x-7)
B. x^2 + x-7
C. x^3.7
D. (x-7)^3
Answer:
[tex]\huge\boxed{Option \ D:f(g(x)) = (x-7)^3}[/tex]
Step-by-step explanation:
[tex]f(x) = x -1\\g(x) = x^3[/tex]
We've to find [tex]f(g(x))[/tex]
Which will be [tex]f(x-7)[/tex]
Putting x in f(x) as x-7
So,
[tex]f(g(x)) = (x-7)^3[/tex]
Please help ASAP it is due today
Answer:
Step-by-step explanation:
What we know
total sum of angles = 540 deg
3/2 b cam also be written as 1.5b degrees.
So 1.5b + (b+45) + (2b - 90) +90 = 540
Step 1 -- get rid of parenthesis
1.5b + b + 45 +2b -90 +90 =540
Step 2 -- combine the like expressions
4.5b + 45 = 540
Step 3 -- subtract 45 from both the sides
4.5b = 495
Step 4 -- divide 4.5 from both the sides
b = 110 ----- not the right answer
Thats not right okay im sorry
but i guess if it is not 110 it should be 100, 90 etc.
90 = b is correct
Please answer, I will give brainliest
Step-by-step explanation:
Hey, there!!
Let's look in your question,
Firstly Mr.Ingerson was in Ghana and bought it in 35000 cedi for a djembedrum.
At that time 1 US dollar= 7000 Cedi.
He paid 35000 cedi.
Us dollar for 35000 cedi = 35000/7000 $.
So, he had bought it in $5.
now,
At present,
The value of 1$ is 5.79 cedi.
As he bought it on same value,
5$ is equal to 5.79×5
= 28.95 cedi.
{ here, as it told that it was bought in same value its value is $5 only but, as the value of $ will be changed into 5.79}.
Hope it helps...
Simplify the following expressions.
1. 3( x - 5 ) + 2x - 3
2. 4a - 3 ( 4 - a )
3. -2 ( b - 6 ) + 2
4. 6 - 3 ( 3 + x )
Step-by-step explanation:
1. 3( x - 5 ) + 2x - 3
= 3x - 15 + 2x - 3
= 5x - 18
2. 4a - 3 ( 4 - a )
= 4a - 12 + a
= 5a - 12
3. -2 ( b - 6 ) + 2
= -2b + 12 + 2
= -2b + 14
= 14 - 2b
4. 6 - 3 ( 3 + x )
= 6 - 9 - 3x
= -3 - 3x