Answer:
a⁻⁵
Step-by-step explanation:
1/a²·1/a³
Multiply numerators and denominators
= (1 × 1)/(a² × a³)
= 1/a⁵
= a⁻⁵
Stefan, a 36 year old male, bought a $150,000, 10 year life insurance policy. Stefan is paid weekly. What is Stefan’s annual premium? Show work.
Answer: did u ever find out the answer?
Step-by-step explanation:
Answer: $682.50
Step-by-step explanation:
The cost for Stefan’s insurance is determined by the row of data for a 36 year old male. A 10-year policy has a cost of $4.55 per thousand dollars of coverage. In order to determine the total cost you need to determine the amount of thousands of coverage, which is $150,000/1,000 = 150. The total annual cost is 150 x $4.55 = $682.50.
Drag each angle measure to the correct location on the image. Each angle measure can be used more than once.
Answer:
The solution in the attached figure
[tex]m<A=43\°[/tex]
[tex]m<B=137\°[/tex]
[tex]m<C=43\°[/tex]
[tex]m<D=43\°[/tex]
[tex]m<E=137\°[/tex]
[tex]m<F=137\°[/tex]
[tex]m<G=43\°[/tex]
Step-by-step explanation:
see the attached figure with letters to better understand the problem
Part 1) Find the measure of angle A
we know that
[tex]m<A+137\°=180\°[/tex] ------> by supplementary angles
so
[tex]m<A=180\°-137\°=43\°[/tex]
Part 2) Find the measure of angle B
we know that
[tex]m<B=137\°[/tex] ------> by vertical angles
Part 3) Find the measure of angle C
we know that
[tex]m<C=m<A[/tex] ------> by vertical angles
so
[tex]m<C=43\°[/tex]
Part 4) Find the measure of angle D
we know that
[tex]m<D=m<A[/tex] ------> by corresponding angles
so
[tex]m<D=43\°[/tex]
Part 5) Find the measure of angle E
we know that
[tex]m<E+m<D=180\°[/tex] ------> by supplementary angles
so
[tex]m<E+43\°=180\°[/tex]
[tex]m<E=180\°-43\°=137\°[/tex]
Part 6) Find the measure of angle F
we know that
[tex]m<F=m<E[/tex] ------> by vertical angles
so
[tex]m<F=137\°[/tex]
Part 6) Find the measure of angle G
we know that
[tex]m<G=m<D[/tex] ------> by vertical angles
so
[tex]m<G=43\°[/tex]
The alternate interior angles to 137° are also 137°, the corresponding angles are 117°, and the supplementary angles are 43°.
The image shows a pair of parallel lines that are cut by a transversal. Since the parallel lines are cut by a transversal, we can use the following angle relationships:
Alternate interior angles are equal.
Corresponding angles are equal.
Supplementary angles add up to 180 degrees.
Label the given angle
The given angle is labeled 137°.
Label the alternate interior angles
The alternate interior angles to the given angle are also 137°. .
Therefore, we can label the following angles 137°:
The angle opposite the given angle
The angle to the right of the given angle, on the same side of the transversal
Label the corresponding angles
The corresponding angles to the given angle are equal to 117°.
Therefore, we can label the following angles 117°:
The angle above the given angle, on the same side of the transversal
The angle to the left of the given angle, on the opposite side of the transversal.
Label the supplementary angles
The supplementary angles to the 137° angles are equal to 43°.
Therefore, we can label the following angles 43°:
The angle above the 137° angle, on the opposite side of the transversal
The angle to the left of the 117° angle, on the same side of the transversal
Label the remaining angles
The remaining angles are equal to 53°.
Therefore, we can label the following angles 53°:
The angle to the right of the 117° angle, on the opposite side of the transversal
The angle below the 43° angle, on the same side of the transversal
The final image, with all of the angles labeled, is shown below:
For similar question on alternate interior angles.
https://brainly.com/question/26167358
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Alexis and Martin helped the school set chairs in rows for an assembly. They put the same number of chairs in each row. Using 92 chairs available, Alexis made 4 rows with 2 chairs left over while Martin made 5 rows with no chairs left over. Write and solve an equation that can be used to find the number of chairs in each row.
4c + 5c = 92 - 2
9c = 90
c = 10
22 chairs were not used in the assembly.
What is
A= 3000(1+.036/12)^72
Algebra 2 compound interest
First we need to simplify [tex]\frac{.036}{12}[/tex] to 0.003.
We get 3000(1+0.003)[tex]^{72}[/tex]
Now we simplify 1+0.0031+0.003 to 1.0031.003.
3000×1.00[tex]3^{72}[/tex]
Simplify {1.003}^{72}1.003 to 1.2407011.240701.
3000×1.240701
Then we simplify to 3722.103387.
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I need help please
How can I do this one ☝️
[tex] \frac{v + 9}{3} = 8[/tex]
[tex]3 \times \frac{v + 9}{3} = 8 \times 3[/tex]
[tex]v + 9 = 24[/tex]
[tex]v = 24 - 9[/tex]
[tex]v = 15[/tex]
Answer: 15
Step-by-step explanation:
8 x 3 = 24
24 - 9 = 15
So, 15 + 9 = 24 divided by 3 = 8
HELP FAST PLEASE 3 QUESTIONS (30 POINTS)
Answer:
[tex]d\geq 5\\\\w<7\\\\a\leq 4[/tex]
Step-by-step explanation:
For each you have to look at three things - the direction of the arrow, if the circle is filled in, and the number the point is located on.
If the arrow is pointed right and the numbers are increasing, you use the greater than sign (>).
If the arrow is pointed left and the numbers are decreasing, you use the less than sign (<).
If the circle is filled in, it means you use the greater than or equal to (≥) less than or equal to signs (≤).
For the first inequality, the arrow is pointing right, the circle is filled in, and the point is on five so the inequality is [tex]d\geq 5[/tex].
For the second inequality, the arrow is pointing left, the circle is not filled in, and the point is on seven so the inequality is [tex]w<7[/tex].
For the third inequality, the arrow is pointing left, the circle is filled in, and the point is on four so the inequality is [tex]a\leq 4[/tex].
based on the pattern in the table what is the value of A
A)-64
B)-12
C)1/16
D)1/64
Answer:
D 1\64 just did it
Step-by-step explanation:
What is the end point of a ray?
Answer:
A ray is a part of a line that has one endpoint and goes on infinitely in only one direction you can't measure the length of a ray ..hope this helps
Step-by-step explanation:
The endpoint of a ray is the starting point from which the ray extends indefinitely in one direction. It's different from a line, which has no endpoint as it extends indefinitely in both directions.
Explanation:In mathematics, specifically in geometry, a ray is a part of a line that starts at a particular point, known as the initial point, origin, or endpoint, and extends indefinitely in one direction. This is different from a line, which extends in both directions. When you draw a ray, you put an arrow on one end to show that it continues without end in that direction. The
end point of a ray is essentially the starting point from which the ray extends. For example, if you have a ray AB, point A is the endpoint and the ray extends towards point B but beyond it indefinitely. Thus, a ray has only one endpoint, not two.
Learn more about EndPoint of a Ray here:https://brainly.com/question/18113698
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what is equivalent to the expression below?
(-6) to the -5 power
a. 6 to the 5 power
b. (1/6) to the 5 power
c. (-1/6) to the 5 power
d. 30
Your food bill was $80 at a restaurant.
You left a tip of $16.
What percentage of the food bill did you leave for the tip?
Answer:
20 percent tip
Step-by-step explanation:
Answer: 20% tip (i got the answer for that one right :)! )
An equation is shown below. 12 - 9 + c = 12 What value of c makes the equation true?
The correct answer is C = 9.
Step by step:
Subtract 12 - 9 = 3
3 + 9 = 12.
It’s that simple. Hold this helps!
The value of c is 9 makes the equation true.
It is given that the equation 12 - 9 + c =12.
It is required to find the value of c that makes the equation true.
What is a linear equation?It is defined as the relation between two variables if we plot the graph of the linear equation we will get a straight line.
If in the linear equation one variable is present then the equation is known as the linear equation in one variable.
We have a linear equation in one variable:
12 - 9 + c = 12
-9 + c =0 (subtract 12 on both sides)
c = 9 ( add 9 on both sides)
Thus, the value of c is 9 makes the equation true.
Learn more about the linear equation here:
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to the right of the garden draw a different shape that has the same perimeter as part A of elton's garden what is the area of your shape?
Answer:
wats part A?
Step-by-step explanation:
Give me the data:)
Solve H^2-2h- 2=0 and round answer to the nearest hundredth
Answer:
h1=2.75 and h2=-0,75
Step-by-step explanation:
You need to use the cuadratic formula for this case (see apex)
Best regards
Consider these scenarios. 1. A piano weighs 5.5 × 102 units. 2. A grain of salt weighs 1.02 × 10-3 units. 3. A tractor trailer weighs 8.8 × 101 units. Determine the unit of measurement that best represents each scenario. 1. 2. 3.
Answer:
1) pounds
2) grams
3) tons
Step-by-step explanation:
The suitable measurements for the scenarios are:
1) A piano weighs 5.5 × 10² units
550 Ib (pounds)
2) A grain of salt weighs 1.02 × [tex]10^-3[/tex] units
0.00102 grams
3) A tractor trailer weighs 8.8 × [tex]10^1[/tex] units
88 ton
10²g = 1kg
10^-3g = miligrams
10^1 g = decagram
Answer:
pounds, ounces, tons
Step-by-step explanation:
please find the unknown with all steps
Answer:
see explanation
Step-by-step explanation:
Since AC = BC then ΔABC is isosceles with base angles
∠BAC =∠ABC, thus
3x + x = 70
4x = 70 ( divide both sides by 4 )
x = 17.5
----------------------------------------------------
∠ADC is an external angle of ΔABD and the external angle is equal to the 2 opposite interior angles, hence
y = 70 + x = 70 + 17.5 = 87.5
What is the fourth term of the sequence a1=m an= 2an-1
Answer:
8m
Step-by-step explanation:
We assume you're describing a geometric sequence with first term m and common ratio 2. Then the n-th term is ...
a[n] = m·2^(n-1)
and the fourth term is
a[4] = m·2^(4-1) = 8m
Timothy drove his race car 10% farther using the gasoline from Smith's Station compared to gasoline from Jack's Station. After Timothy filled his gas tank at Jack's Station, he traveled 480 miles. How far did he travel on a tank of gas from Smith's Station?
Answer:
528
Step-by-step explanation:
x = 480
1.1 x = 480 * 1.1
480 + 48 = 528
Timothy traveled 528 miles using the gasoline from Smith's Station, which is 10% farther than the 480 miles he traveled with gasoline from Jack's Station.
Explanation:To calculate how far Timothy traveled using the gasoline from Smith's Station, we need to determine what 10% more than the 480 miles he traveled using gasoline from Jack's Station is. First, let's find 10% of 480 miles:
10% of 480 miles = 0.10 × 480 miles = 48 miles.Now, let's add this additional distance to the original 480 miles to find the total distance traveled with gas from Smith's Station:
480 miles + 48 miles = 528 miles.Therefore, Timothy traveled 528 miles on a tank of gas from Smith's Station.
Here’s a graph of a linear function. Write the equation that describes that function ??
Answer:
The equation of the line is y = x + 1
Step-by-step explanation:
In order to find this, start with two points that are on the line. We'll use (0, 1) and (1, 2). Now we can use the slope formula to find the slope.
m(slope) = (y2 - y1)/(x2 - x1)
m = (2 - 1)/(1 - 0)
m = 1/1
m = 1
Now that we have this, we can use that slope and a point in point-slope form. Then we solve for y to get the equation.
y - y1 = m(x - x1)
y - 1 = 1(x - 0)
y - 1 = 1x
y = 1x + 1
Evaluate (–1)8 + (–1)7 + –16 + –14 – (–1)2. A. 5 B. –3 C. –4 D. –23
Answer:
= -43
Step-by-step explanation:
Evaluating the expression;
(–1)8 + (–1)7 + –16 + –14 – (–1)2
We can use Bodmas
We remove the brackets first
(–1)8 + (–1)7 + –16 + –14 – (–1)2
We get
-8 + - 7 + -16 + -14 - -2
but; - × + = - and - × - = +
Thus;
-8 - 7 - 16 - 14 + 2
= -8 -7 - 16 - 12
= -43
if f(x) = (1/7), what is F(3)
A.343
B.1/49
C.49
D.1/343
Answer:
Step-by-step explanation:
None of them
Perhaps the original question was f(x) = (1/7)^x or f(x)=(1/7)^-x
The first one would give A as an answer
The second one would give D as an answer.
A similar answer could be worked out for B and C
In any event correct your question, please
Answer:
49
Step-by-step explanation:
Use the drop down menus to complete the statement to explain how to compare 3.57 and 3.38.
Simplify: |-10|
A. 0
B.10
C.-10
D. 1
The absolute value is 10 so
|-10| = B.10
The domain of u(x) is the set of all real values except 0 and the domain of v(x) is the set of all real values except 2. What are the restrictions on the domain of ? u(x) 0 and v(x) 2 x 0 and x cannot be any value for which u(x) 2 x 2 and x cannot be any value for which v(x) 0 u(x) 2 and v(x) 0
Answer:
Third option
x ≠2 and x cannot be any value for which v(x) = 0
Step-by-step explanation:
In this problem we are asked to find the domain of the function
[tex](UoV)(x)[/tex]
We know that [tex](UoV)(x) = U(V(x))[/tex].
We know that:
Domain of U(x) is all real numbers except x = 0
Domain of V(x) is all real numbers except x = 2.
Then the domain of the composite function U(V (x)) is:
all real numbers except x = 2. (since x = 2 does not belong to the domain of V(x) and all values of x for which V(x) = 0 (since x = 0 does not belong to the domain of U(x))
Finally the domain of [tex](UoV)(x)[/tex]) is:
[tex]x \neq 2[/tex] and [tex]V(x) \neq 0[/tex]
Answer:
The answer is C on edge.
114.4 is 65% of what amount
65% × 114.4 =
(65 ÷ 100) × 114.4 =
(65 × 114.4) ÷ 100 =
7,436 ÷ 100 =
74.36
and how you can check yourself kinda do the opposite of what you did to get the answer
74.36 ÷ 114.4 =
0.65 =
0.65 × 100/100 =
0.65 × 100% =
(0.65 × 100)% =
65%
Two values of x that are roots of xsquared+2x-6=0
The two values of x are
1.65 , -3.65
Answer:
Two values of x that are :
[tex]x=-\sqrt{7}-1[/tex]
[tex]x=\sqrt{7}-1[/tex]
Step-by-step explanation:
Given= [tex]x^2+2x-6=0[/tex]
To find = Two values of x
Solution :
[tex]x^2+2x-6=0[/tex]
Adding and subtracting 1 in the equation :
[tex]x^2+2x+1-1-6=0[/tex]
[tex](x^2+2\times x\times 1+1^2)-1-6=0[/tex]
[tex](x+1)^2-7=0[/tex]
[tex](x+1)^2=7[/tex]
[tex](x+1)=\pm \sqrt{7}[/tex]
Two values of x that are :
[tex]x=-\sqrt{7}-1[/tex]
[tex]x=\sqrt{7}-1[/tex]
the graph of f(x)=(c) is translated 6 units to the right and 2 units up to form a new function
Answer:
Step-by-step explanation:
My opinion is that you meant "f(x) = c." This would be a constant function whose graph is a horizontal line, y = c.
If this graph were translated 6 units to the right, the function would not change.
However, if this function f(x) = c were translated 2 units up, the new function would be g(x) = c + 2.
find the area of rectangle 7 cm long 3 cm wide give a unit of measurement
➷ Area = length x width
Substitute the values in:
Area = 7 x 3
Solve:
Area = 21
The area is 21 cm^2
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find the rational numbers between 1/3 and 1/2,how many rational numbers can be determined between these two
There are infinitely many rational numbers in that slot. In fact, in ANY slot.
Here are a few of them
0.34, 0.35, 0.36, 0.37
0.40, 0.41, 0.4101, 04102, 0.41021, 0.41022, 0.410221, 0.4102210000001, etc.
Please help me out on this question I been stuck on it
Answer:
B, C
Step-by-step explanation:
[tex] x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} [/tex]
[tex] x = \dfrac{-3 \pm \sqrt{3^2 - 4(1)(-5)}}{2(1)} [/tex]
[tex] x = \dfrac{-3 \pm \sqrt{9 + 20}}{2} [/tex]
[tex] x = \dfrac{-3 \pm \sqrt{29}}{2} [/tex]
Answer: B, C
a reflecting pool is shaped like a right triangle with one leg along the wall of a building. the hypotenuse is 9 feet longer than the side along the building. the third side is 7 feet longer than the side along the building. find the length of all three sides of the reflecting pool
Answer: The length of all three sides of the reflecting pool are 8 feet , 17 feet and 16 feet.
Step-by-step explanation:
Let sides along the building be 'x', then the measure of hypotenuse = x+9 and the measure of third side = 7+x
Since , the reflecting pool is shaped like a right triangle.
Then , by using Pythagoras theorem , we have
[tex](x+9)^2=x^2+(x+7)^2\\\\\Rightarrow\ x^2+81+18x=x^2+x^2+49+14x\ \ [\text{Using }(a+b)^2=a^2+b^2+2ab ]]\\\\\Rightarrow\ x^2+81+18x=2x^2+49+14x\\\\\Rightarrow\ x^2-4x-32=0\\\\\Rightarrow\ x^2-8x+4x-32=0\\\\\Rigtarrow\ x(x-8)+4(x-8)=(x-8)(x+4)\\\\\Rightarrow\ x=8\ or -4[/tex]
But length cannot be negative , it means x= 8
Now, the length of side along building = 8 feet
Length of hypotenuse = 9+8 =17 feet
Length of third side = 8+7= 16 feet
Final answer:
Using the Pythagorean Theorem and setting the length of the side along the building as x, we solve the quadratic equation to find that the side along the building is 8 feet, the third side is 15 feet, and the hypotenuse is 17 feet.
Explanation:
To solve for the lengths of all three sides of the reflecting pool, we can use the Pythagorean Theorem, which states that in a right triangle, the square of the hypotenuse (c) is equal to the sum of the squares of the other two legs (a and b). Let's denote the length of the side along the building as x. Therefore, the hypotenuse will be x + 9 feet and the third side will be x + 7 feet. The equation can be set up as follows:
x² + (x + 7)² = (x + 9)²
Expanding the squares and solving for x gives us:
x² + x² + 14x + 49 = x² + 18x + 81
Combine like terms and move everything to one side:
x² + 14x + 49 - 18x - 81 = 0
x² - 4x - 32 = 0
Factoring the quadratic equation:
(x - 8)(x + 4) = 0
Since a length cannot be negative, we take the positive solution x = 8 feet. Now we can find the lengths of each side:
Side along the building: 8 feet
Third side (7 feet longer than the side along the building): 8 + 7 = 15 feet
Hypotenuse (9 feet longer than the side along the building): 8 + 9 = 17 feet