Answer:
tn = a*2^(n - 1)
Step-by-step explanation:
a = 4
r = 2
tn= a*2^(n-1)
Try it
t3 = 4*2^(3 -1) Combine the power
t3 = 4 * 2^2 Find 2^2
t3 = 4 * 4 Multiply
t3 = 16 Answer for t3
Answer:
2^(n+1)
Step-by-step explanation:
You don't even need to use algebraic methods or the formula for this; it's just common sense. 4=2^2, 8=2^3, 16=2^4.
4 is the term 1
8 is term 2
2=term # (1) + 1 for 4
3 = term # (2) + 1 for 8
And so on
So it is 2 to the power of (term # + 1)
Write the equation of a line in slope intercept form that has a slope of 6 and has a y-intercept of ½.
Answer:
y=[tex]6x+ \frac{1}{2}[/tex]
Step-by-step explanation:
m=6
yint=1/2
y=mx+b
when x=0 y=1/2
1/2=6(0)+b
b=1/2
y=[tex]6x+ \frac{1}{2}[/tex]
The equation of the line in slope-intercept form is y = 6x + 1/2, where the slope is 6 and the y-intercept is 1/2. The slope of 6 means that for every increase of 1 in the x-axis, the y-axis will increase by 6.
Explanation:The equation of a line in slope-intercept form is given by y = mx + b, where m is the slope and b is the y-intercept.
Given that the slope is 6 and the y-intercept is 1/2, the equation of the line is y = 6x + 1/2.
The slope of 6 means that for every increase of 1 in the x-axis, the y-axis will increase by 6.
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Which of the following is necessary when proving that the opposite sides of a parallelogram are congruent
ANSWER:
To prove that opposite sides of a parallelogram are congruent, we have to prove that the quadrilateral is a parallelogram.
The ways to prove that a quadrilateral is a parallelogram include:
- a quadrilateral with parallel opposite sides
- a quadrilateral with congruent opposite angles
- a quadrilateral with diagonals that bisect each other
Answer:
alternate interior angles of congruent
opposite sides are parallel
Step-by-step explanation:
ap3x
Help fast please!!!!
Answer:
1) 2/25 = 0.08
2) 23/50 = 0.46 = 46%
3) 14/20 = 0.7 = 70%
4) 90% = 0.9
Answer:
1) 2/25 = 0.08%
2) 23/50 = 46%
3) 14/20 = 70%
4) 90% = 0.9
A basketball is priced at $35.00. If it is on sale for 40% off, what is the final cost?
A basketball priced at $35.00 with a 40% discount would cost $21.00 after the discount.
Explanation:The final price of the basketball can be calculated by first identifying the amount being discounted from the original price. A 40% discount of a $35.00 basketball means you take 40% of 35. Here's how:
0.40 (40% converted to decimal) times $35.00 equals $14.00.
This $14.00 is the discount from the original price. Now, subtract this discount from the original price of the basketball to get the final price: $35.00 - $14.00 equals $21.00.
So, the final cost of the basketball after a 40% discount is $21.00.
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Find the value of y when x = 4 in the equation x - 4y = 2 Show your work help
Answer:
y = 0.5
Step-by-step explanation:
plug in x = 4 into the second equation
4 - 4y = 2
Simplify
-4y = -2
y = 0.5
there is a string of green and white lights strung around a mirror for every 6 green lights there are four white lights if there are 30 green lights how many white lights are there
Answer: There are 20 white lights.
Step-by-step explanation:
Given : There is a string of green and white lights strung around a mirror for every 6 green lights there are 4 white lights.
i.e. Ratio of green lights to white lights = 6:4
i.e.
[tex]\dfrac{\text{Number of green lights}}{\text{Number of white lights}}=\dfrac{6}{4}\\\\\Rightarrow\ \dfrac{30}{\text{Number of white lights}}=\dfrac{6}{4}\\\\\Rightarrow\ \text{Number of white lights}=\dfrac{4\times30}{6}=20[/tex]
Hence, there are 20 white lights.
43.586 to the nearest hundredth place
Answer: 43.59
Step-by-step explanation:
The hundredth place is two points after the decimal, so it is where the 8 is.
When the number to the right of it is 5 or higher you round it up.
Answer:
43.59
Step-by-step explanation:
tens ones . tenths hundredths thousandths
4 3 5 8 6
We want to round the 8 so we look at the 6.
Since 6>=5 we round the 8 up
43.59
Parallelogram ABCD has vertices at A(2,-3), B(8,-6), Cl14,-3), and D(8,0)
IF THE FOLLOWING STATEMENTS ARE TRUE, WHAT KIND OF PARALLELOGRAM IS THIS
The lengths of two consecutive sides are equal.
The slopes of two consecutive sides are not opposite reciprocals.
A) rectangle
B) square
C)rhombus
D) not enough info
Answer:
The correct option is C.
Step-by-step explanation:
The vertices of ABCD are A(2,-3), B(8,-6), C(14,-3), and D(8,0).
Distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
The length of sides are
[tex]AB=\sqrt{(8-2)^2+(-6+3)^2}=\sqrt{36+9}=\sqrt{45}[/tex]
[tex]BC=\sqrt{(14-8)^2+(-3+6)^2}=\sqrt{36+9}=\sqrt{45}[/tex]
[tex]CD=\sqrt{(8-14)^2+(0-3)^2}=\sqrt{36+9}=\sqrt{45}[/tex]
[tex]AD=\sqrt{(8-2)^2+(0+3)^2}=\sqrt{36+9}=\sqrt{45}[/tex]
Since length of all sides are equation therefore the given parallelogram cannot be a rectangle.
Slope formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Slope of AB is
[tex]m_1=\frac{-6-(-3)}{8-2}=\frac{-3}{6}=\frac{-1}{2}[/tex]
Slope of BC is
[tex]m_2=\frac{-3-(-6)}{14-8}=\frac{3}{6}=\frac{1}{2}[/tex]
Since the slopes of two consecutive sides are not opposite reciprocals, therefore the given parallelogram is a rhombus. Option C is correct.
The basic measure of mass in the metric system is called
Answer:
Grams.
Step-by-step explanation:
Answer:
THE GRAM
Step-by-step explanation:
How do you make 7 1/4 into a decimal
Answer:
7.25
Step-by-step explanation:
We know that 7 equals to 7.0. We also know that 1/4=0.25. So we can add the two together and we get 7.25
HALP! It's for my Math homework! I will make it a ton of pts!
The gas of your car is 40% full. There are 8 gallons of gas in a tank. What is the capacity of the gas tank?
Thanks in advance!
Step-by-step explanation:
Percentage by which the gas tank of the car is full = 40%
Amount of gas in the gas tank = 8 gallons
capacity of the gas tank = x gallons
40% * x = 8
(40/100) * x = 8
4x/10 = 8
4x = 8 * 10
4x = 80
x = 80/4
Answer = 20 gallons
find the value of the variable. if your answer is not an interger, leave it in simplest radical form.
Answer:
A
Step-by-step explanation:
using the sine ratio in the right triangle, then
sin 45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{5}[/tex]
multiply both sides by 5
note the exact value of sin 45° = [tex]\frac{\sqrt{2} }{2}[/tex]
x = 5 × sin 45° = 5 × [tex]\frac{\sqrt{2} }{2}[/tex] = [tex]\frac{5\sqrt{2} }{2}[/tex]
Lin Makes $18 per hour. He got a raise. Now Lin makes $22 per hour.What is the percent raise?
Answer:4% raise
Step-by-step explanation:
Jack earns $50 for washing cars on the weekdays He makes an average of $4.25 in tips per hour right the function of Jacks earnings and solve
for how much you make after six hours
Answer:
Function: y= $4.25x + $50; After 6 hours: $25.50
Step-by-step explanation:
Answer:
Joe would make $75.50 after 6 hours.
Step-by-step explanation:
A function for this would be m = 50 + 4.25t. The $50 is the one time thing. We must multiply the tips by 6. 4.25 * 6 = 25.50. 50 + 25.50 is 75.50.
Find the value of x in this figure
If PQ is the tangent, then m∠P = 90°.
Therefore we can use the Pythagorean theorem:
[tex]x^2=5^2+12^2\\\\x^2=25+144\\\\x^2=169\to x=\sqrt{169}\\\\\boxed{x=13}[/tex]
Answer: 13which of the following statements is true about the triangles below
Answer: SAS, Triangle JKN and LKM are congruent by SAS
Step-by-step explanation: Vertical angles are equal, so the triangles are congruent by SAS.
The given triangles congruent by SAS congruency . Option D is correct.
What are triangles?A 2 dimensional figure bounded by 3 sides is called a triangle. Sum of all the angles of the triangle in 180°.What are congruent triangles?Triangles having same shape and size are called congruent triangles.There are five types of congruencies, SAS, AAS, SSS, ASA, RHSWhat are vertically opposite angles?The angles opposite each other when two lines cross are called vertically opposite angles.
How to know which of the given statements is true about the triangles?Considering Δ JKN and Δ LKM
JK = LK (given)
∠JKN = ∠LKM (vertically opposite angles)
KN = KM (given)
So Δ JKN and Δ LKM are congruent by SAS congruency .
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Graph the image of the given triangle under a dilation with a scale factor of −2 and center of dilation (0, 0) .
Can someone please help me? I just need help with the coordinates. Thanks so much!
Answer:
see attached diagram
Step-by-step explanation:
A dilation with a scale factor of -2 centered at the origin has a rule:
[tex](x,y)\mapsto\left(-2x,-2y\right).[/tex]
Then the image of the triangle ABC is triangle DEF(see attached diagram) with coordinates
[tex]D\left(8,-2);[/tex][tex]E\left(4,4);[/tex][tex]F\left(6,8).[/tex]Answer:
the other answer is correct
Step-by-step explanation:
took test on k12 and that was right
GEOMETRY QUESTION: PLEASE ANSWER FAST!
Answer:
<A = 30
<B = 150
Step-by-step explanation:
cos<A = AK / ABAK = 4AB = 8Cos<A = 4/8Cos<A = 1/2A = Cos-1(0.5)A = 30 degreesSince BC and and AD are parallel, the interior angles of <A and <B sre supplementary.<A + <B = 18030 + <B = 180<B = 180 - 30<B = 150All of the following are equivalent except
4 · y
4 + y
4y
(4)(y)
Answer:
4+y
Step-by-step explanation:
4 · y
4 + y
4y
(4)(y)
All of these are multiplication except 4+y
What is the solution to the system of equations below?
y= -1/3x+6 and x = –6
(–6, 8)
(–6, 4)
(8, –6)
(4, –6)
Final answer:
The solution to the system of equations is (-6, 8), found by substituting x = -6 into the first equation and simplifying to find the value of y.
Explanation:
The solution to the system of equations y= -1/3x+6 and x = -6 can be found by substituting the value of x from the second equation into the first equation. Here's how it's done:
Substitute x into the first equation: y = -1/3(-6) + 6.
Simplify the equation: y = 2 + 6.
Add the numbers to find the value of y: y = 8.
Therefore, the solution to the system of equations is the point (-6, 8).
Simplify: 1 ( x − 5 ) − 1 3 ( − 3 x + 12 )
So since 1 multiplied by a number or variable, the number always stays the same we can say that 1(x-5)=x-5. We then, can open the parenthesis for 13*-3x+13*12. The answer for that would be -39x+156. So we then know that x-5-39x+156. We can simplify this until -38x+151.
Hope this helps. <3
A triangle has side lengths of 4, inches, 10 inches, and c inches.
Enter values to write an inequality that describes the possible values for c, the length of the third side of the triangle.
? < c < ?
Answer:
c<4+10
c<14
Step-by-step explanation:
can I get brainliest?
Answer:
6<c<14
Step-by-step explanation:
HEEEEEEEEEEEEEEELLLLLLLPPPPPPPPPPP
Probably the third answer is right. If you divide the 9x-6y=12 by 3, it gives you the exact same equation as the 3x-2y=4. They're the same, so they'd overlap.
on a number line what is the distance between -57 and 13
The distance between -57 and 13 on a number line is 70 units.
Explanation:The distance between -57 and 13 on a number line is 70 units.
To find this distance, we subtract -57 from 13:
13 - (-57) = 13 + 57 = 70.
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The distance between -57 and 13 on a number line is 70 units.
Explanation:A number line is a visual representation of real numbers arranged in order along a straight line. It extends infinitely in both directions, with zero at the center. Positive numbers are to the right, and negative numbers are to the left. Integers, fractions, and decimals are located at corresponding points.
The number line aids in understanding numerical relationships, performing arithmetic operations, and visualizing the concept of magnitude and direction in mathematics. It's a fundamental tool for teaching and learning mathematical concepts. The distance between -57 and 13 on a number line is 70 units.
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Simplify the given expression below (1+2i) times (5-3i)
Answer:
11 + 7i
Step-by-step explanation:
(1 + 2i)(5 - 3i)
= 1(5 - 3i) + 2i(5 - 3i)
= 5 - 3i + 10i - 6i^2
Note i^2 = -1 So we have:-
5 + 7i + 6
= 11 + 7i (answer).
The expression (1+2i) times (5-3i) simplifies to -1 + 7i by using the distributive property for multiplication over addition and remembering that i squared equals -1.
Explanation:The expression (1+2i) times (5-3i) is a function of two complex numbers. To simplify this, you would use the distributive property for multiplication over addition.
The first step is to distribute each component of the first number against each component of the second number. (1 * 5 + 2i * -3i) + (1 * -3i + 2i * 5)
Next, we perform the multiplications and simplify, bearing in mind that i squared is -1. This gives us (5 - 6) + (-3i + 10i)
So the simplified expression is -1 + 7i.
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Jason's grandparents gave him $500 for his 16 birthday. He put the money in the bark and decided to withdrow $35 each week. I need help with part b, how do I do the table??
Answer:
X Y
0 $500
1 $465
2 $430
3 $395
4 $360
5 $325
6 $290
Step-by-step explanation:
You subtract 35 from the first Y.
The value of y varies directly as x, and y is 10 when x is 5. What is the value of y when x is 4?
Answer:
8.
Step-by-step explanation:
As seen in the pattern y seems to be two times x so 4 x 2 = 8.
Hope that helps
Select the two figures that are similar to the 5 by 5 figure that is shown.
Answer:
the blue and the pink
Step-by-step explanation:
I need help with number 3, i’m stuck!
ben score 56 out of 79 marks in a maths test what is his score as a percentage to 1 decimal place
Answer:
56/79=.7088
The answer is 70.9%
Answer:
70.9%
Step-by-step explanation:
Hope this helps