What is the units digit of 7⁷?
Answer:
[tex]7^{7}[/tex] = 823543
the unit position (the first) is equal to "3"
Step-by-step explanation:
use the ratio of a 30-60-90 triangle to solve for the variables.
Answer:
[tex]x=12,\\y=6\sqrt{3}[/tex]
Step-by-step explanation:
In all 30-60-90 triangles, the side lengths are in ratio [tex]x:x\sqrt{3}:2x[/tex], where [tex]x[/tex] is the side opposite to the 30 degree angle and [tex]2x[/tex] is the hypotenuse, or longest side, of the triangle.
Since there are 180 degrees in a triangle, the angle on top must be 30 degrees. Therefore, its opposite side is 6 and [tex]x=6[/tex] in the ratio [tex]x:x\sqrt{3}:2x[/tex].
Thus, we have:
[tex]y=\boxed{6\sqrt{3}},\\x=2\cdot 6=\boxed{12}[/tex]
Problem 3 Find the value of x.
value of x should be 3.2 units
Answered by Gauthmath must click thanks and mark brainliest
is 9y+3=0 a nonlinear ?
Answer:
Its not nonlinear
Step-by-step explanation:
Answer:
no, it is a linear function as y has a degree of 1
which kind of triangle is shown.
1. obtuse isosceles
2. acute equilateral
3. obtuse scalene
4. right scalene
Answer: 2, acute equilateral
Step-by-step explanation:
the image shows a triangle with all 3 sides congruent and 3 acute angles
Suppose that the least common multiple of the first $25$ positive integers is equal to $26A7114B4C0$. Find $100 \times A + 10 \times B + C$.
Start by removing 1 and the primes from the set {1, 2, 3, …, 25}. The LCM among these numbers will be their product.
{1, 2, 3, 5, 7, 11, 13, 17, 19, 23} ==> product = 223,092,870
Factorize the remaining numbers in the set:
{4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25} ==>
{2², 2×3, 2³, 3², 2×5, 2²×3, 2×7, 3×5, 2⁴, 2×3², 2²×5, 3×7, 2×11, 2³×3, 5²}
From each number above, remove any factor already accounted for in the product of primes:
{2, 1, 2², 3, 1, 2, 1, 1, 2³, 3, 2, 1, 1, 2², 5}
The LCM among these factors is 2³×3×5 = 120.
Then the LCM of the numbers in {1, 2, 3, …, 25} is
223,092,870 × 120 = 26,771,144,400
so that A = 7, B = 4, and C = 0. Then
100A + 10B + C = 740
Which of the following expressions does not have a greatest common monomial factor?
Answer:
Step-by-step explanation:
17x²y+8y³-4x²
it has no greatest common monomial factor.
Answer:
17x²y+8y³-4x²
Step-by-step explanation:
A cab company charges $0.25 per 1 mile as well as a flat fee of $2.25 just for taking a ride in the
cab. If this scenario is represented as a function, what would the y-intercept be?
Answer:
y - intercept = 2.25
Step-by-step explanation:
y = mx + c
Where,
y = Total cost
x = additional cost
m = slope
c = y - intercept
y = 0.25x + 2.25
Relating with the above equation,
y - intercept = 2.25
Slope, m = 0.25
A 10-foot tall tree casts a 4-foot shadow. How tall is the building next to the tree if the building’s shadow is 38 feet long?
Step-by-step explanation:
It Jun glt tm my tb my tu meri of ft me rh my
Please answer this!!
Answer: Choice C. 110ft
Step-by-step explanation:
Near a 30,60,90 triangle, multiply by [tex]\sqrt{3}[/tex] to approximate the distance from point B to the tree.
Answer:
82
Step-by-step explanation:
I want to say 82 but i am not positive
convert r=2sin(2theta) into rectangular cords.
Answer:
[tex](x^2+y^2)^3 = 16x^2y^2[/tex]
Step-by-step explanation:
We want to convert the polar equation:
[tex]\displaystyle r = 2 \sin 2\theta[/tex]
To rectangular form.
Recall the double-angle identity for sine:
[tex]\displaystyle \sin 2\theta = 2\sin\theta\cos\theta[/tex]
Hence:
[tex]\displaystyle r = 4\sin\theta\cos\theta[/tex]
Since x = rcosθ and y = rsinθ:
[tex]\displaystyle r = 4\left(\frac{x}{r}\right)\left(\frac{y}{r}\right)[/tex]
Multiply:
[tex]\displaystyle r = \frac{4xy}{r^2}[/tex]
Recall that x² + y² = r². Hence:
[tex]\displaystyle r = \frac{4xy}{x^2 + y^2}[/tex]
By squaring both sides:
[tex]\displaystyle r^2 = \frac{16x^2y^2}{(x^2+y^2)^2}[/tex]
Substitute:
[tex]\displaystyle x^2+y^2 = \frac{16x^2y^2}{(x^2+y^2)^2}[/tex]
And multiply. Therefore:
[tex](x^2+y^2)^3 = 16x^2y^2[/tex]
Find the slope of the line passing through (6.-1) and (7,3). Let (x1, y1) = (6.-1) and (x2.72) =
(7,3). List the coordinates, fill in the slope formula, and then simplify.
1 =
X2=
J1 =
12=
slope =
Answer:
X1=6
X2=7
y1= -1
y2= 3
now,
slope = y2-y1/x2-x1
= 3+1/7-6
=4/1
=1
hence slope= 1
5. What are the solutions of the equations x2 - 4x = -5
a. 2 + 2i
b. 2 - i
c. 2 + i.
d. 2 - 2 i
Answer:
b and c
Step-by-step explanation:
Given
x² - 4x = - 5
Solve by using the method of completing the square
add ( half the coefficient of the x- term)² to both sides
x² + 2(- 2)x + 4 = - 5 + 4
(x - 2)² = - 1 ( take the square root of both sides )
x - 2 = ± [tex]\sqrt{-1}[/tex] = ± i ( add 2 to both sides )
x = 2 ± i
Then solutions are
x = 2 - i → b
x = 2 + i → c
tại teamart,1 ly trà sữa có giá a đồng và 1 ly kem có giá là b đồng.Hãy viết biểu thức đại số biểu thị số tiền bạn Cúc mua 3 ly trà sữa và 4 ly kem
Answer:
3 a + 4 b
Step-by-step explanation:
Biểu thức đại số biểu thị bạn Cúc mua 3 ly trà sữa và 4 ly kem là:
3 a + 4 b
What is the quadratic regression equation that fits these data?
Number of seconds Helght (In feet)
0
12
1
14
2
15
3
14
4
10
5
6
O A. y=-1.94x2 + 0.62x+ 9.62
B. y = -3.69x2 + 2.08x+8.07
O C. y = 15.68(0.88)
O D. y=-0.89x2 + 3.24x+11.93
SUBMIT
Answer:
Step-by-step explanation:
The answer is D. Use the Stat and then Edit button on your TI calculator to edit the values in L1 and L2 tables. In L1 enter 0, 1, 2, 3, 4, 5 and then arrow over and enter the y values into L2 the same way. Enter the number 12, then hit enter; enter the number 14, hit enter; enter the number 15 and then hit enter, etc. Do the same for the values that are going into L1.
When that is done, hit the Stat button again and arrow down to QuadReg and hit enter. Depending upon your calculator, you may have to arrow down to "calculate" or the calculator may display the equation immediately after hitting QuadReg. Again, it all depends upon your calculator.
The required correct quadratic regression equation that fits the given data is y = -0.89x² + 3.24x+11.93. Option D is correct.
What is the equation?The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.
Here,
To find the quadratic regression equation, we need to use a calculator or software that can perform a quadratic regression analysis. Using such a tool, we obtain the following equation:
y = -0.89x² + 3.24x+11.93
This equation fits the data points (0, 12), (1, 14), (2, 15), (3, 14), (4, 10), and (5, 6) with a high degree of accuracy.
The equation is in the form of a quadratic function, which has a parabolic shape when graphed. The coefficient of the x² term (-0.89) indicates that the parabola is downward-facing, while the other coefficients determine the exact shape and position of the parabola.
Option A is incorrect because its equation does not fit the data points accurately. Option B is also incorrect because it is not a quadratic equation, and option C is incorrect because its equation also does not fit the data points accurately.
Learn more about equations here:
brainly.com/question/10413253
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A square has area x cm^2, and perimeter of x cm . What is the value of x?
Let the perimeter be 100cm
Then value of x = 100/4
x = 25cm
Answered by Gauthmath must click thanks and mark brainliest
Please help me I’m struggling
I need help like rq
Answer:
h(x) = ½x + 5
Step-by-step explanation:
From the question given above, the following data were obtained:
Function, f(x) = 2x – 10
Inverse, h(x) =?
The inverse of the function, h(x) can be obtained as follow:
f(x) = 2x – 10
Let f(x) = y
y = 2x – 10
Interchange x and y
x = 2y – 10
Make y the subject by rearranging
x + 10 = 2y
Divide both side by 2
y = (x + 10) / 2
y = ½x + 5
Replace y with h(x)
h(x) = ½x + 5
Thus, the inverse of the function is
h(x) = ½x + 5
CAN YALL HELP ME PLSSS NOW I NEED IT PLS IM BEGGING ITS FOR PYTHAGOREAN THEOREM
Answer:
The answer is 97!
Step-by-step explanation:
The formula for Pythagorean Theorem is a^2+b^2=c^2. (65)^2 + (72)^2 is 9409, which has a square root of 97. Hope this helped! :)
If the odds against Deborahs winning first prize in a chess tournament are 1 to 11 what is the probability of the event that she will win first prize
Answer: [tex]\dfrac{11}{12}[/tex]
Step-by-step explanation:
Given
The odds against winning in a chess tournament are 1 to 11.
Odds is defined as the ratio of the probability of occurrence to the non-occurrence of event.
[tex]\therefore \text{Probability that event will occur is P'=}\dfrac{1}{1+11}\\\\\Rightarrow P'=\dfrac{1}{12}[/tex]
Probability of non-occurrence i.e. she wins the first prize is
[tex]\Rightarrow P=1-\dfrac{1}{12}\\\\\Rightarrow P=\dfrac{11}{12}[/tex]
Question 3 of 10
Is ASAM-ADEL? If so, identify the similarity postulate or theorem that
applies.
A. Similar - AA
B. Similar - SSS
C. Similar - SAS
D. Cannot be determined
Answer:
B. SAS
[tex] \frac{sm}{dl} = \frac{27}{9} = 3 \\ \frac{am}{el} = \frac{15}{5} = 3 \\ angle \: m= angle \: l[/tex]
Brainliest please~
By SAS similarity, ΔASM is similar to ΔDLE. Thus, option C is correct.
What is SAS?The SAS theorem is also known as the side-angle-side theorem, also known as a statement in Euclidean geometry that states two triangles are congruent if their corresponding sides are both the same length and their included angles are both of the same measures.
According to the given figure,
SM=27
DL=9
MA=15
LE=5,
∠M=∠L=31°
It is required to determine the similarity postulate that applies. Therefore,
From the ΔASM and ΔDLE, we have
[tex]\frac{SM}{DL}=\frac{27}{9} \\=3\\\frac{ML}{LE}=\frac{15}{5}\\ =3\\ Hence, \frac{SM}{DL}= \frac{ML}{LE}[/tex]
∠M=∠L=31°
Hence, by SAS similarity, ΔASM is similar to ΔDLE.
Therefore, it can be concluded that option C is correct.
Learn more about the SAS theorem here:
https://brainly.com/question/31243316
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y = 4x – 10
y = 2
What is the solution to the system of equations?
(3, 2)
(2, 3)
(–2, 2)
(2, –2)
Answer:
(3,2)
Step-by-step explanation:
y = 4x – 10
y = 2
Substitute the second equation into the first
2 = 4x-10
Add 10 to each side
2+10 = 4x-10+10
12 = 4x
Divide each side by 4
12/4 =4x/4
3 = x
The solution is
(3,2)
Answer:
(3,2)
Step-by-step explanation:
y = 4x – 10...(1) y = 2...(2) You have y=2 here, substitute it in equation (1),
y = 4x – 10 2 = 4x – 10
Add both sides by 10 12=4x
Divide both sides by 4 x=3
We have x=3, and y=2. ==> (x,y) = (3,2)
5. At a wedding reception, an equal
number of guests were seated at
12 round tables. The 13 people in
the wedding party were seated at
a rectangular table. There were 121
people at the reception altogether.
Which equation could you use to find
the number of guests, n, seated at each
round table?
A 12 + 13n = 121
B 12n + 13= 121
C 121 = 12n - 13
D 121 = 13n - 12
Answer:
b i think
Step-by-step explanation:
find the probability of picking a red marble and a green marble when 2 marbles are picked (without replacement)from a bag containing 6 red and 6 green marbles.}
p = 6/11.
So we have a bag that contains 6 red marbles and 6 green marbles.
Then the total number of marbles that are in that bag is:
6 + 6 = 12
There are 12 marbles in the bag, and we assume that all marbles have the same probability of being randomly drawn.
Now we draw two marbles, we want to find the probability that one is red and the other is green.
The first marble that we draw does not matter, as we just want the second marble to be of the other color.
So, suppose we draw a green one in the first attempt.
Then in the second draw, we need to get a red one.
The probability of drawing a red one will be equal to the quotient between the red marbles in the bag (6) and the total number of marbles in the bag (12 - 1 = 11, because one green marble was drawn already)
Then the probability is:
p = 6/11.
Notice that would be the exact same case if the first marble was red.
Then we can conclude that the probability of getting two marbles of different colors is:
p = 6/11.
Answer the question to get points
Answer:
4. E=4x-15(vertically opposite)
F=E(corresponding angles)
E=4x-15
5.3x+6x+O=180(angles on a straight line)
9x+0=180
9x=180-0
9x/9=180/9
x=20
Solve for x in each of the following equations.
A)
X + 2 = 8
B)
- 5 - 4x = -21
C)
13 + 5x = 34 + 2x
Answer:
Step-by-step explanation:
a) x=6 (x= 8-2)
b) x=4 ( 4x=21-5=16 -> x=4
c) x=7 (3x=34-13=21 -> x=7)
18+17+16+15+14+13+12+11+10 what is the answer
multiply
0.105 x 0.7=
Answer:
0.0735 got it right
Step-by-step explanation:
got it right
Can someone explain
Answer:
You need to use sohcahtoa to find your answer.
first you gotta identify what sides of the triangle you have.
You're missing the hypotenuse, and you have the value of the adjacent.
since you have the adjacent and need the hypotenuse, you're going to use cosine to find x
cos(65) = 16/x
x = 37.859
Answer:
x = 37.85
this is a standard "trig" question
it requires two pieces of insight.
First that a triangle has 180° interior angles.
from that you can determine that the third angle is 25° because
90 + 65 + β = 180
the red symbol lets you know that it is 90°
the second think that will help is SOHCAHTOA
that is if you have a "right triangle" (one with a 90° angle)
in this problem (in your mind rotate the triangle so the 65° is at the bottom left and the two long sides are pointing up
in this case you have the 16 on the bottom (adjacent to the angle) and
the x is on the hypotenuse...
you have the A& H that is COS
thus you have cos(65) = [tex]\frac{16}{x}[/tex]
x = 37.85
Step-by-step explanation:
Help ASAP
order -3, 5, 16, and -10 from least to greatest. Then order the same numbers from closest to zero to fastest from zero. Describe how your lists are similar. Would this be true if the numbers were -3, 5, -16, and -10?
Answer:
List from least to greatest:-16,-10,-3,5
List from closest to zero to the very far:-3,5,-10,16
Step-by-step explanation:
In order to know if the answer is accurate,draw a number line of directed numbers...the very far negative numbers,are said to be the least than the numbers almost close to zero...