Answer:
100,000
Step-by-step explanation:
The product of 10 and 10,000 is equal to 100,000.
Multiplication is a fundamental arithmetic operation that allows for efficient scaling and repeated addition.
The product of 10 and 10,000 is calculated by multiplying the two numbers together. The result is 100,000. This is because when you multiply 10 by 10,000, essentially add 10,000 to itself 10 times. Each time add 10,000 to the previous sum to get a larger number, and after ten repetitions, the final sum is 100,000.
In this case, it shows that 10 times 10,000 results in a product of 100,000, a significant value with practical applications in various fields.
Hence, the number 10 multiply by 10,000 is equal to 100,000.
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a car travels 170 miles in 3 hours at this rate how many miles will the car travel in 1/2 hours
What is the measure of <QPU
Answer:
The correct answer is D. 110 degrees.
Step-by-step explanation:
Angles QPR and QPU are supplementary, which means that their sum adds up to a total of 180 degrees. This fact lets us write the following equation:
<QPU + <QPR = 180
It is given by the diagram that the measure of <QPR is 70, so we can substitute this into the equation.
70 + <QPR = 180
Now, we can simply solve this equation to find the measure of <QPR by subtracting 70 from both sides. This gives us,
<QPR = 110
Therefore, the correct answer is 110 degrees.
Hope this helps!
Zachary recorded the grade-level and instrument of everyone in the middle school
School of Rock below.
Seventh Grade Students
Instrument # of Students
Guitar
Bass
Drums
Keyboard
7
14
15
9
Eighth Grade Students
Instrument # of Students
Guitar
Bass
Drums
Keyboard
2
15
2
11
Based on these results, express the probability that an eighth grader chosen at
random will play the drums as a percent to the nearest whole number.
Percent to the nearest whole number = 7%
What is probability?
Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events subject to probability.
Probability = (Number of possible outcomes)/(Total number of outcomes)
Total number of outcomes = 2 + 15 + 2 + 11 = 30
Number of possible outcomes = 2
Probability = 2/30 = 1/15 = 0.0666
Percent to the nearest whole number = 0.0666 *100 = 7%
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Answer:7
Step-by-step explanation:
A 4 meter long ladder leans against a 90 degree wall at a 68 degree angle.
How far is the top of the ladder from the ground?
How far is the bottom of the ladder from the wall?
Answer:
Step-by-step explanation:
We use trig to answer these questions:
sin x = opposite side of a triangle / hypotenuse
cos x = adjacent side / hypotenuse
Construct a right triangle with hypotenuse 4 m and lower angle 68 degrees.
The height of the top of the ladder is then defined by:
sin 68 degrees = height / 4 m, which yields (4 m)(sin 68) = height =
3.71 m
and the distance of the bottom of the ladder from the wall as follows:
cos 68 degrees = horizontal distance / hypotenuse =
1.50 m
The top of the ladder is 3.7088 m away from the ground.
The bottom of the ladder is 1.5 m away from the wall.
What is Pythagoras theorem?According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.
Given:
Angle = 68 degree
Hypotenuse = 4 m
Now, using Trigonometry
sin 68 = P/ H
0.9272 = P/ 4
P = 3.7088 m
Thus, the top of the ladder is 3.7088 m away from the ground.
Now, using Pythagoras theorem
H²= P² + B²
4² = (3.7088)² + B²
16 = 13.75 + B²
B² = 2.25
B= 1.5 m
Thus, the bottom of the ladder is 1.5 m away from the wall.
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QUESTION 10
1. Identify the least accurate statement about the internal rate of return (IRR) and net present value (NPV) is
accurate from the statement below?
a. The discount rate that causes the project's NPV to be equal to zero is the project's IRR.
b. The IRR is the discount rate that equates the present value of the cash inflows with the present
value of the outflow.
c. For mutually exclusive projects, if the NPV rankings and the IRR rankings give conflicting signals,
you should select the project with the higher IRR.
d. For independent projects with conventional cash flows, there is no conflict between NPV and IRR
decision rules.
When comparing projects that are mutually exclusive, the analyst should use the IRRs to choose the project if the NPV method and the method produce different rankings.
If the results of NPV and IRR are incongruent, NPV should always be used.
What is the internal rate of return (IRR) strategy?The internal rate of return is a technique used in financial research to gauge the profitability of potential investments (IRR). The IRR is the discount rate used in a discounted cash flow analysis to bring all cash flows' net present values (NPV) to nil.
What is net present value (NPV)?The future stream of payments from a company, project, or investment are appraised today using a technique known as net present value (NPV). To calculate net present value, you must anticipate the timing and volume of future cash flows and select a discount rate equal to the least permitted rate of return (NPV). rn.
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Write the number shown in standard notation.
6.6 x 105
OA) 6,600
O B) 660,000
O C) 66,000
OD) 6,600,000
I will give brainiest to whoever answers correctly !!
Answer:
$80.75
Step-by-step explanation:
From the question, we are given the following parameters
Amount borrowed (principal)=$3800
Time=3 months =1/4 years
Rate = 8.5%
Required
Interest paid by the man
Using the simple interest formula;
SI= Principal*Rate*Time/100
SI=3800*8.5*0.25/100
SI=38*8.5*0.25
SI=$80.75
Hence the man paid $80.75 for the use of the money
PLEASE MARK ME AS BRAINLIEST
1.) Solve the following equation for w: 3w-4(w-3) = 6
Answer: w=6
Step-by-step explanation: 1. Simplify. Distribute the -4 to the w and the -3. -4*w is -4w and -4*-3 is +12, so your left with 3w-4w+12=6.
2. simplify again. 3w-4w is -w.
3. -w+12=6. Subtract w to both sides, so its -w=-6. The negatives cancel out, so w just equals 6.
Skylar went shopping for a new video game. To find the total plus tax, she multiplied the price of the video game by 1.0775. What percent tax did she pay?
Answer:A topic sentence is used to bring
to a paragraph.
Step-by-step explanation:
A topic sentence is used to bring
to a paragraph.
Find x (circle)
(Btw I don’t know if 5.6 is correct so just ignore that)
Answer:
A. 11.2
Step-by-step explanation:
But this has nothing to do with 5.6 × 2. Erase that! Lol.
You have a right triangle here. The only thing to do with the circle is that there are two radii (plural of radius) shown. So they have to be the same measure.
The unmarked "bottom" of the triangle, the short leg, is a radius, so it too, is 8.4.
The hypotenuse of the right triangle, the side on the right, the longest side is 5.6 + 8.4.
The hypotenuse is 14.
Let's do some Pythagorean Theorem.
Leg^2+ leg^2=hypotenuse^2
you know,
a^2 + b^2 = c^2
fill in what we know.
8.4^2 + b^2 = 14^2
simplify.
70.56 + b^2 = 196
subtract 70.56
b^2 = 125.44
squareroot both sides
b = 11.2
PLEASE HELP I WILL GIVE BRAINLIEST
Answer:
V=72
Step-by-step explanation:
4x6=24
24x3=72
WxBxH=V
B=6
W=3
H=4
Olivia measures the heights of two trees and the lengths of their shadows. She notices that the height of each tree and the length of its shadow are directly proportional. One of the trees has a height of 15 m and a 10 m long shadow. The other tree has a 14.4 m long shadow. Calculate its height, in metres (m). Give any decimal answers to 1 d.p. 15 m 10 m ? m 14.4 m
Step-by-step explanation:
directly proportional means
y = kx
with k being a constant factor for all values of x.
we get k by using the given data point (10, 15).
15 = k×10
k = 15/10 = 1.5
so, now for the other tree we know k and x and calculate y
y = 1.5×14.4 = 21.6 m
it is 21.6 m tall (its height is 21.6 m).
Devoir maison : Réciproque du théorème de Pythagore
(AH) est la hauteur du triangle ABC issue de A.
A
B←
10 cm
8 cm
6 cm
H
> C
2,5 cm
a. Calculer la longueur AC.
b. Le triangle ABC est-il rectangle?
Answer:
Step-by-step explanation:
Pour répondre à ces questions, nous devons utiliser la réciproque du théorème de Pythagore, qui établit que si le carré de la longueur du côté le plus long d'un triangle est égal à la somme des carrés des longueurs des deux autres côtés, alors le triangle est rectangle.
a. Pour calculer la longueur AC, nous pouvons utiliser le théorème de Pythagore. Dans le triangle rectangle ABC, l'hypoténuse est AC et les côtés sont AB et BC. Selon le théorème de Pythagore, nous avons :
AC² = AB² + BC²
AC² = 10² + 8²
AC² = 100 + 64
AC² = 164
AC ≈ √164
AC ≈ 12,81 cm
Donc, la longueur AC est d'environ 12,81 cm.
b. Pour déterminer si le triangle ABC est rectangle, nous devons vérifier si la réciproque du théorème de Pythagore est satisfaite. Si la somme des carrés des longueurs des deux côtés les plus courts est égale au carré de la longueur du côté le plus long, alors le triangle est rectangle.
Dans notre cas, nous avons AB = 10 cm, BC = 8 cm et AC ≈ 12,81 cm. Vérifions si la réciproque du théorème de Pythagore est satisfaite :
AB² + BC² = 10² + 8² = 100 + 64 = 164
AC² ≈ 12,81² ≈ 164,16
Nous pouvons voir que AB² + BC² ≠ AC², donc la réciproque du théorème de Pythagore n'est pas satisfaite. Par conséquent, le triangle ABC n'est pas un triangle rectangle.
find the area of the triangle formed by x intercepts and y intercepts of the parabola y=4x^2-8x-5
PLEASE HELP ASAP
SHOW ALL WORK USING VERTEX FORM!!!!!
Answer:
7.5 unit²Step-by-step explanation:
Refer to attached
Find the y-intercept:
x = 0 ⇒ y = 4*0 - 8*0 - 5 = - 5Find the x-intercepts:
y = 0 ⇒ 4x² - 8x - 5 = 04x² - 8x + 4 - 9 = 04(x - 1)² = 9(x - 1)² = 9/4x - 1 = 3/2 ⇒ x = 2.5x - 1 = - 3/2 ⇒ x = - 0.5We have vertices of the triangle at:
(- 0.5, 0), (2.5, 0) and (0, -5)Base of the triangle is:
2.5 - (-0.5) = 3Height of triangle:
0 - (-5) = 5The area is:
A = 1/2bhA = 1/2*3*5 = 7.5
Answer:
7.5 unite square
Step-by-step explanation:
someone already explained so i will just tell you the steps. I deeply apologize for the inconvieence, grammer mistakes, and lack of showing work.
step 1.
find the x- and y intercepts
step 2.
find the vertexes
step 3.
pug the points onto the cordiante plane
s
If 4 times a number is 156 then 1/3 of the number is?
Given:
There are given the statement, "4 times a number is 156".
Explanation:
According to the question:
We need to find the number.
So,
Let the number be x.
So,
From the statement:
4 times a number is 156,
Then,
\(4x=156\)So,
\(\begin{gathered} 4x=156 \\ x=\frac{156}{4} \\ x=39 \end{gathered}\)Now,
Dividing both sides by 3:
So,
\(\begin{gathered} x=39 \\ \frac{x}{3}=\frac{39}{3} \\ \frac{1}{3}x=13 \end{gathered}\)Final answer:
Hence, the number is 13.
16 families went on a trip which cost them Rs 2,16,352. How much did each
family pay?
Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522
Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.
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Answer:
Step-by-step explanation
1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.
Now let's check if this result is correct:
1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.
So we have shown that each family paid **Rs 13,522** for the trip
can some please help with 11 !!!!
The point A(5.
7) is reflected over the
What are the coordinates of point B?
point (6,
6) and its
image is point B.
The point (6, 6) is the mid-point of A and B. Then the coordinate of the point B is (7, 5).
What is coordinate geometry?Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.
Point A (5, 7) is reflected over the point (6, 6) and its image is point B. Then the point (6, 6) is the mid-point of the A and B. Then the coordinate of the point B will be
\(\rm (x_2 , y_2) = (2x -x _1, 2y - y_1)\\\\(x_2 , y_2) = (2 \times 6 - 5, 2 \times 6- 7)\\\\(x_2 , y_2) = (12-5,12-7)\\\\(x_2 , y_2) = (7, 5)\)
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Sketch the graph of the given function. Then state the function’s domain and range. y = 4(4)x
To sketch the graph of the function y = 4(4)^x, we can start by plotting a few points to get an idea of the shape of the graph.
Let's choose some x-values and calculate the corresponding y-values:
For x = -2, y = 4(4)^(-2) = 4(1/16) = 1/4
For x = -1, y = 4(4)^(-1) = 4(1/4) = 1
For x = 0, y = 4(4)^0 = 4(1) = 4
For x = 1, y = 4(4)^1 = 4(4) = 16
For x = 2, y = 4(4)^2 = 4(16) = 64
Now we can plot these points on a coordinate plane and connect them to form the graph of the function.
The graph of y = 4(4)^x will start at the point (0, 4) and increase rapidly as x increases. It is an exponential growth function where the base is 4.
The domain of the function is all real numbers since there are no restrictions on the values of x.
The range of the function is the set of positive real numbers greater than zero. As x increases, y grows without bound, approaching positive infinity but never reaching zero or becoming negative.
2 x 10 with a power of 2
Its supposed to be simplified i need help pls ;-;
If you can explain it to ty!
Answer:
400
Step-by-step explanation:
2 x 10 = 20
20 to the power of 2 is 400 because 20 x 20 = 400
Helppppppppppppp pppppp ppppp
Answer:
-1/2
Step-by-step explanation:
To find f(f^-1(-1/2)), we need to first find the inverse of f, which is denoted as f^-1. The inverse of a function f is another function that undoes the effect of f. In other words, if y = f(x), then x = f^-1(y).
The inverse of f is given by:
f^-1(y) = (y - 5) / 2
Now we can substitute -1/2 for y in this expression to find f^-1(-1/2):
f^-1(-1/2) = (-1/2 - 5) / 2
f^-1(-1/2) = (-11/2) / 2
f^-1(-1/2) = -11/4
Now that we have found f^-1(-1/2), we can substitute this value into the original function f to find f(f^-1(-1/2)):
f(f^-1(-1/2)) = f(-11/4)
f(f^-1(-1/2)) = 2(-11/4) + 5
f(f^-1(-1/2)) = -11/2 + 5
f(f^-1(-1/2)) = -1/2
Therefore, f(f^-1(-1/2)) = -1/2
sandy ran for 22 minutes. Gary ran 7 minutes longer than sandy did. Herbert ran 12 minutes less than Gary. who ran the longest
Answer:
So Gary ran the longest
Step-by-step explanation:
Gary ran for 22 minutes + 7 minutes = 29 minutes.
Herbert ran for 29 minutes - 12 minutes = 17 minutes.
So Gary ran the longest, followed by Sandy and then Herbert.
Jaya's mother is 5 years more than three times her age. Find Jaya's age if her mother is 44 years old.
Answer:
Jaya is 13 years old.
Step-by-step explanation:
Let's assume Jaya's age to be x years old.
Jaya's mothers age is (3*x)+5.
3x+5=44
3x=39
x=13.
the function has zeros at -1 and -11, and a minimum at -5
The minimum point on the graph is \((-6,25)\), which confirms that the function has a minimum at\(-6\).
What is graph?In mathematics, a graph is a diagram that shows the relationship between different sets of data. It is made up of points, which are also called vertices or nodes, that are connected by lines or curves called edges or arcs.
In mathematics, a function is a relation between two sets of data, such that each input in the first set corresponds to exactly one output in the second set. In other words, a function maps each input value to exactly one output value.
According to given information:
Let's start by writing the quadratic function in factored form, given that it has zeros at \(-1\) and \(-11\):
\(f(x) = a(x- (-1))(x- (-11))\)
Simplifying, we get:
\(f(x) = a(x+1)(x+11)\)
To find the value of a, we need to use the fact that the function has a minimum at \(-5\). Since the vertex of the parabola is at the minimum point, we know that the x-coordinate of the vertex is \(-5\). Therefore, we can use this information to find the value of a as follows:
\(-5 = (-1+(-11))/2\\-5 = -6\)
This tells us that the axis of symmetry of the parabola is \(x =-5\). Since we know that the function has zeros at \(-1\) and \(-11\), we can deduce that the vertex must lie halfway between these two zeros, at\(x = -6\). Therefore, the value of a is:
\(f(-6) = a((-6)+1)(-6) +11) = a(5) (-1) = -5a\)
We also know that the function has a minimum at this point, so we can use this to find the value of a:
\(f(-6) = -5\\-5= -5a\\\\a = 1\)
Therefore, the quadratic function that satisfies these conditions is:
\(f(x) = (x+1) (x+11)\)
We can check that this function has zeros at \(-1\) and \(-11\), and that it has a minimum at\(x =-6\) by finding its vertex:
x-coordinate of vertex = \((-1 +(-11))/2 =-6\)
y-coordinate of vertex =\(f(-6) = (-6+1)(-6+11) = 25\)
Therefore, the minimum point on the graph is \((-6,25)\), which confirms that the function has a minimum at -6.
Which of the following function has zeros at \(-1\) and\(-11\) and a minimum of \(-5\) ?
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Question (1)
(i) Explain Pythagorean theorem in detail.
(ii) What is "Hippacus of Croton"?
Answer:
● The pythagorian theorem
The pythagorian theorem is used to find a missing side of a right triangle.
It states that the square of the hypotenus of a right triangle is equal to the sum of the squares of the two other sides.
Let a be the hypotenus, b and c are the othet sides:
☆☆☆☆☆ a^2 = b^2 + c^2☆☆☆☆☆
There are more than 350 way to prove this theorem.
■■■■■■■■■■■■■■■■■■■■■■■■■■
● Hippasus of Croton was a member of the highly-secretive school og Pythagoras in Croton. He is credited in history as the first person to prove the existence of irrational numbers.
The product of two numbers is 1536.
If the HCF of the two numbers is 16.
find the LCM of these two numbers.
Work Shown:
LCM = (product of two numbers)/(HCF of the two numbers)
LCM = 1536/16
LCM = 96
Joe has read 70% of a book he has 3 more pages to finish how many pages are there in the book
Why it said he used partial products to write 7 × 870 = 5600 + 49 explain why its error in use math to justify your explanation
The person is wrong because instead of writing the product as 5600 + 49 he must write 5600 + 490.
The given equation is 7 × 870 = 5600 + 49.
What is multiplication?Multiplication is an operation that represents the basic idea of repeated addition of the same number. The numbers that are multiplied are called the factors and the result that is obtained after the multiplication of two or more numbers is known as the product of those numbers.
Now, product of two numbers 7 and 870 is
7 × 870=6090
⇒ 7 × 870 = 5600 + 490
Hence, the person is wrong because instead of writing the product as 5600 + 49 he must write 5600 + 490.
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what is a Pythagoras theorem
The Pythagoras theorem states that in a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides.
What is mathematical representation of Pythagoras theorem?From the given Pythagoras theorem above, the mathematical representation of the theorem would be written below as follows;
C² = a²+b²
Where:
'C' represents the hypotenuse which is the longest part of the triangle and is always diagonal connecting the two other points.'a' represents the perpendicular length that forms the angle 90° of the right angle triangle.'b' represents the base of the triangle.Learn more about Pythagorean formula here:
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Evaluate 4 |7 − n| + 5 when n = 12 .
Answer:
15
Step-by-step explanation:
4 |7 − n| + 5
Substitute n = 12
4 |7 − 12| + 5
4 |-5| + 5
Take the absolute value of -5, which is 5
4 * 5 +5
Multiply
20 -5
15