Answer:
(3,6.3), (7, 14.7)
Step-by-step explanation:
For this question, you want to find the values where 2.1×x is the same as y. It's mostly just trial and error.
x is always first in the bracket, so by multiplying it by 2.1, you would get y (the second value) if it applies.
3*2.1=6.3, so the first one is true.
6.3*2.1=13.23, so the second one is false.
2.1*2.1=4.41, so the third one is false.
7*2.1=14.7, so the fourth one is true.
10.5*2.1=22.05, so the fifth one is false.
14.7*2.1=30.87, so the sixth one is false.
This leaves the first one (3,6.3) and the fourth one (7, 14.7) as true.
** This is mostly algebra, so you may want to look at that. If this question was supposed to be done without a calculator, look at multiplying decimals too. I'm always happy to help!
Answer:
They are (3, 6.3) and (7, 14.7)
PLS HELP Find the value of x.
A. 4
B. 2
C. 7
D. 14
Answer:
ANSWER IS B
Step-by-step explanation:
5x - 3 = 3x + 1
5x - 3x = 1 + 3
2x = 4
x = 4/2
x = 2
Answer:
B. 2
Step-by-step explanation:
The sides 5x - 3 and 3x + 1 are the same length, so you can put an equal sign: 5x - 3 = 3x + 1, x = 2:
5(2) - 3 = 3(2) + 1
10 - 3 = 6 + 1
7 = 7
So x is 2
What are the solutions to the equation 0=x^2+4x+8?
Answer:
this are the equation I was taught
Step-by-step explanation:
_(x2+4x+8)=0
What is the explicit formula for the geometric sequence 2, 6, 18, 54, …?
Answer:
3x
Step-by-step explanation:
You multiply the pervious number with 3 to get the next number
For example 2 times 3 = 6
6 times 3 = 18
18 times 3 =54
54 times 3= 162
So on and so forth
I need help on this question. I hope you can help!
Answer:
54
Step-by-step explanation:
Since triangle ABC ~ DEF
Angle A = Angle D
Angle A = 54
can someone please teach me this in an easier, less difficult way.
PLEASE
Answer:
[tex]36[/tex]
Step-by-step explanation:
The expression [tex]_nC_k[/tex] is used to denote the number of ways you can choose [tex]k[/tex] things from a set of [tex]n[/tex] things. It is equal to:
[tex]_nC_k=\binom{n}{k}=\frac{n!}{k!(n-k)!}[/tex]
In this case, [tex]n=9[/tex] and [tex]k=2[/tex], so:
[tex]\implies \frac{9!}{2!(9-2)!}=\frac{9!}{2!7!}=\boxed{36}[/tex]
You can also think of it like this:
[tex]_9C_2[/tex] is saying 9 choose 2. We are choosing 2 things from a set of 9 things, where order doesn't matter. For the first thing we choose, there are 9 options. Then 8 options, 7, and so on. Since we're only choosing two things, there are [tex]9\cdot 8=72[/tex] permutations. However, the order of which we choose each thing does not affect what we've chosen overall (e.g. If we're choosing two donut flavors original and strawberry, it doesn't matter which flavor I choose first, because I'm still getting the same two flavors). Therefore, we must divide this by the number of ways we can arrange two distinct values, which is [tex]2![/tex]. Our answer is thus [tex]\frac{72}{2!}=\frac{72}{2}=\boxed{36}[/tex]
=========================================================
Explanation:
We have 9*8 = 72 different permutations. This is if we used the nPr formula with n = 9 and r = 2.
Notice the countdown from 9 to 8. This is because we don't reuse the same element twice.
Since order doesn't matter with nCr, we will divide by 2. This is because something like AB is the same as BA. So we go from 72 to 72/2 = 36
The value 36 is found in Pascal's Triangle in the row that has 1,9,... at the start of it. Start at the left hand side and count exactly 3 spaces to the right, and you should land on 36.
A quadrilateral is a parallelogram if each____ divides a parallelogram into two____.
Answer:
diagonal, congruent triangles
Step-by-step explanation:
How many pages would same have finished in 126 minutes
A.18
B.13
C.24
D.42
Answer:
Sam will finish 42 pages in 126 minutes.
Step-by-step explanation:
Number of pages read by Sam = 6
Time taken to read these pages = 18 minutes
Rate at which Sam is reading the pages of the book = [tex]\frac{\text{Number of pages read}}{\text{Time taken to read these pages}}[/tex]
= [tex]\frac{6}{18}[/tex]
= [tex]\frac{1}{3}[/tex] pages per minute
Number of pages read in 126 minutes = Rate of reading × Time
= [tex]\frac{1}{3}\times 126[/tex]
= 42 pages
Therefore, Sam will finish 42 pages in 126 minutes.
Andrew is using tiles to decorate a rectangular table that is 4/5 meter long and 2/3 meter wide. What is the area of Andrews table in square meters
Given:
Length of rectangular table = [tex]\dfrac{4}{5}[/tex] meter
Width of rectangular table = [tex]\dfrac{2}{3}[/tex] meter
To find:
The area of the table.
Solution:
Area of a rectangle is:
[tex]A=l\times w[/tex]
Where, l is the length and w is the width.
Substitute [tex]l=\dfrac{4}{5}[/tex] and [tex]w=\dfrac{2}{3}[/tex] in the above formula to find the area of the rectangular table.
[tex]A=\dfrac{4}{5}\times \dfrac{2}{3}[/tex]
[tex]A=\dfrac{8}{15}[/tex]
Therefore, the area oft he table is [tex]\dfrac{8}{15}[/tex] square meters.
Find the sum of the first 31 terms of the following series, to the nearest integer.
5, 14,23,...
Answer:
4340.
Step-by-step explanation:
14-5 = 9 and 23-14 = 9 so this is an arithmetic series with common difference of 9.
Sum of n terms = (n/2)[2a1 + d(n - 1)]
Here n = 31, d = 9 and a1 = 5.
So, substituting, we have:
Sum of 31 terms = (31/2)[2*5 + 9(31-1)]
= 15.5 * 280
= 4340.
find the length of the missing triangle. round your answer to three decimal places
PLEASE HELP!
Answer:
There is just one simple rules for find other side
Step-by-step explanation:
Think about a triangle and this triangle has 3 side it must have 90° on one edge. We assume the longest side is hipotenus x²+y²=hipotenus² . Look at your question hipotenus is 15 lets try to find other side. X²+12²=15² x=9
Solve unit rate problems- in a soccer league the ratio of boys to girls is 4 to 6 there are a total of 50 players in the soccer league determine how many girls play in the soccer league
A.30
B.20
C.10
D.50
Answer:
30 girls
Step-by-step explanation:
boys to girls
4 to 6
since there are 50 players we have
4*5= 20 to 6*5 =30
because 20+30 =50 players and we keep the ratio equivalent since we multiplied by the same number.
Help down below please
Answer:
Step-by-step explanation:
1. Three million, two hundred ninety eight thousand, seventy six
2. 50,003,087
50,000,000+3000+87
3. 60,400,239
Is 3.02859 a ratio number
Answer:
no
Step-by-step explanation:
it is irrational.
Why should a pool be filled 80% of its capacity?
Answer:
safety and quicker to drain for safty
Simplify the expression 2 (2 + 4y) + 3x.
PLS ANSWER ASAP DUE 9:20
Answer:
5x+8y
Step-by-step explanation:
We can first open the brackets by using the distrubitive propety.
2(x+4y)+3x
2x+8y+3x
Now we can combine like terms.
5x+8y.
I combined the 3x and the 2x. This works because imagined I have 3 of something then I got 2 more of that something I would now have 5 of that something.
Hoped this helped,
JoeLouis2
On the coordinate plane, point T is located at (0,7) and point U is located at (x,-5). The distance between points T and U is 15 units.
What are the two possible values of x?
Answer:
x = 9 or x = -9
Step-by-step explanation:
The parameters of the given points are;
The location of the point T = (0, 7)
The location of the point U = (x, -5)
Then distance between points T and U = 15 units
The distance between points A and B, 'd', given their coordinates, A(x₁, y₁) and B(x₂, y₂) is found using the following formula;
[tex]d=\sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]
Therefore, for the given points, T(0, 7) and U(x, -5), we get;
[tex]15 = \sqrt{\left ((-5) - 7 \right )^{2}+\left (x - 0 \right )^{2}}[/tex]
Squaring both sides, gives;
[tex]15^2 = \left ((-5) - 7 \right )^{2}+\left (x - 0 \right )^{2}} = (-12)^2 + x^2[/tex]
∴ x² = 15² - (-12)² = 81 = 9²
x² = 9²
∴ x = ±√(9²) = ± 9
The possible values of x are x = 9 or x = -9
In a normal distribution, what is the probability that a data value will fall below the
data value associated with a z -score of 3.37?
A 99.96%
B 0.04%
C 1%
D 99.95%
Answer:
A 99.96%
Step-by-step explanation:
The z score shows by how many standard deviations the raw score is above or below the mean. The z score is positive if the raw score is above the mean while the z score is negative if the raw score is below the mean. The z score is given by:
[tex]z=\frac{x-\mu}{\sigma} \\\\where\ z=z-score,\ x=raw\ score,\mu=mean, \ \sigma=standard\ deviation\\\\For\ a\ sample\ size(n):\\\\z=\frac{x-\mu}{\sigma/\sqrt{n} }[/tex]
The probability can be gotten from the normal distribution table. Therefore from the normal table:
P(z < 3.37) = 0.9996 = 99.96%
Verify that (x + a)(x+b)(x+c) is factor of f(x)= x³ +(a+b+c)x²+(ab + ac + bc)x + abc.
Answer:
Step-by-step explanation:
[tex]LHS = \\\\=(x+a)(x+b)(x+c) \\\\=(x+a)(x^2 + cx + bx + bc)\\\\=x(x^2 +(b+c)x + bc) + a(x^2 + (b+c)x + bc)\\\\=x^3 + (b+c)x^2 + bcx+ ax^2 + (b+c)ax+ abc\\\\=x^3 + ax^2 + (b+c)x^2 + bcx + abx + acx + abc\\\\=x^3 + (a+b+c)x^2 + (ab+ac+bc)x+ abc\\\\= RHS[/tex]
Answer:
Explanation:
Hey there!
Please look explanation in picture. As all the factor gives us "0" while putting them in equation, it is verified that they are the factors of f(x).
Hope it helps!
que es el rango en matemáticas
please help! thank you!
Help me please ITS DUE IN 6 MINS PLEASE
Answer: -6y-12 and 5.5h+14
Step-by-step explanation:
-2(3y+6) = -6y-12
5.1h-2.6h+3(h+4)= 2.5h + 3h+14 = 5.5h+14
HELP!!
BONUS!!!
PLS ANSWER A B C OR D
Answer:
About 1 1/2 :)
Step-by-step explanation:
The answer is 1.46 which is close to 1.5
How many poles will there be in a stack of telephone piles if there are 58 in the first layer, 57 in the second, 56 in the third, and so on, with 12 in the top layer?
Answer:
1,645 poles
Step-by-step explanation:
Here, we want to calculate the total number of poles
We can have an arithmetic progression here
Where the last term is the 58 piles , the first term is the top layer which is 12 and the common difference between the piles is 1
Firstly, we calculate the number of stacks which can be obtained using the nth term formula;
Tn = a + (n-1)d
58 = 12 + (n-1)1
58 = 12 + n - 1
58 = n + 11
n = 58-11
n = 47
So we have the stack high up to 47 units
So, using the sum of terms in an arithmetic sequence formula, we have;
Sn = n/2 ( a + L)
where a is the first term 12 and L is the last term 58
Thus, we have
Sn = 47/2( 12 + 58)
Sn = 47/2 * 70
Sn = 1,645
A ball is thrown horizontally at the speed of 24 meters per second from the top of a cliff. If the ball hits the ground 6.0 seconds later, approximately how high is the cliff?
Answer:
[tex]h=4m[/tex]
Step-by-step explanation:
Speed [tex]V=24m/s[/tex]
Time [tex]t=6.0s[/tex]
Generally the equation for Height is mathematically given by
[tex]h=\frac{V}{t}[/tex]
[tex]h=\frac{24}{6}[/tex]
[tex]h=4m[/tex]
Drag and drop the correct angle measures onto the diagram
Answer:
Here you go!
Hope this helps!
What is the area of a triangle whose sides are 15 cm, 8 cm and 19 cm?
Write the slope-intercept form of the equation of the line described.
61) through: (-5, -3). parallel to y=-2/5-2
If line a has a slope of -3 and is perpendicular to line b, what would is the slope of line b?
Answer:
Slope of line B: 1/3
Step-by-step explanation:
To find a slope perpendicular to another slope, you take its negative reciprocal.
Therefore, line B will have a slope of 1/3 because -3 -> -1/3 -> 1/3
Dana bought almonds at $8 per can and cashews at $12 per can. In total she bought 470 cans of nuts. Her total bill was $4260. How many cans of each type of nut did she buy? Use either substitution or elimination to solve this problem.
Answer:
almonds =345, cashews=125
Step-by-step explanation:
a=almonds, c=cashews
8a+12c=4260. Equation 1
a + c= 470 Equation 2
a=470-c. Isolate a from equation 2
8(470-c)+12c=4260 sub value of a from equation 2 into equation 1
3760-8c+12c=4260
4c=500
c=125
solve for a by substituting value of c into either equation
a+c=470
a+125=470
a=345
279 students went on a field trip. Five buses were filled and 9 students traveled in cars. How many students were in each bus? PLEASEEEEE HELPPPPP ME you get 60 points i dont know if anyone cares but hey
Answer:
90 students.
Step-by-step explanation:
279-9=270, and 270 divided by 9 is 90.
