Answer:
1. 4.05 x 10^-4
2. 49,345,000
3. 2.357897 × 10^9
Analyze the diagram below and complete the instructions that follow.
1117
X
x + 3
Find the value of x.
Answer:
x = 6
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtract Property of EqualityAlgebra I
Terms/Coefficients/DegreesExpand by FOIL (First Outside Inside Last)FactoringMultiple RootsTrigonometry
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²
a is a legb is another legc is the hypotenuseStep-by-step explanation:
Step 1: Identify
a = x + 3
b = x
c = √117
Step 2: Solve for x
Substitute [PT]: (x + 3)² + x² = (√117)²Expand [FOIL]: x² + 6x + 9 + x² = (√117)²Combine like terms: 2x² + 6x + 9 = (√117)²Exponents: 2x² + 6x + 9 = 117[SPE] Subtract 117 on both sides: 2x² + 6x - 108 = 0Factor out GCF: 2(x² + 3x - 54) = 0[DPE] Divide 2 on both sides: x² + 3x - 54 = 0Factor Quadratic: (x - 6)(x + 9) = 0Solve roots/solve x: x = -9, 6Since we are dealing with positive values, we can disregard the negative root.
∴ x = 6
i need help again again again again again
Answer:
D. 340.511
Step-by-step explanation:
when rounding 4 and lower rounds to 340 but 5 and up rounds to 341
Marlye asked students in her school whether they prefer scary movies or comedies. She found that 35 students prefer scary movies while 65 students prefer comedies. What percent of the students questioned prefer scary movies? 30% 35% 50% 65%
2
SEE ANSWERS
Answer:
The answer is 35%
Step-by-step explanation:
If we add together 35 and 65 we get 100. This means altogether there are 100 kids in her school. Out of those 100 kids, 35 like scary movies. We can write this as the fraction 35/100. This is equivalent to 0.35 or 35%.
Answer:
35%
Step-by-step explanation:
35+65
= 100
\(\frac{35}{100} * 100\)
= 35%
Mike has $75 to spend at a local model car show. The entrance price for the show is $20. At one seller’s stand, Mike finds some model cars that he likes that are $7.50 each. What is the maximum number of model cars that Mike can buy at that stand?
Answer:
Mike can buy 7 model cars
Step-by-step explanation:
The equation for this word problem would be
7.5x+20=75
subract 20 from both sides
7.5x=55
divide both sides by 7.5
x= 7.33 or 7 1/3 or 22/3
but since you cant buy a third of a car the answer would be 7
y is the hourly wage I must pay, and x is the # lifeguards I want to hire
y = 10 - ½ x
Answer:
x = 20
Step-by-step explanation:
substitute y= 0 first and multuply both sides move the variable to the left.
You are playing in the NBA Playoffs and attempt a 3-point shot as the buzzer sounds for the end of the
game, if you make the shot your team wins! Your basketball is is traveling on a path described by the
following function: b(x) = -x2 +1.36x + 2. The net is on a level described by the following function:
n(x) = 3 between (8 < x < 8.5). Will you make the shot and win the playoffs?
You may work alone or in a group of up to 3 students total.
BONUS: How high in the air will the basketball be at its highest point?
UNITS: x is in meters, y is in meters
Since we do not know the value of u, we cannot find the time taken by the basketball to travel a distance of 8.5 meters. We cannot find the height of the basketball at its highest point.
Given that n(x) = 3 for 8 < x < 8.5.It is impossible to determine whether the shot will be made or not based solely on this information. Winning the playoffs depends on various factors, such as the score, time remaining, and the overall performance of the team.
Therefore, additional information is required to determine the outcome of the playoffs.However, to find the height of the basketball at its highest point, we need to know the equation of the trajectory of the basketball.
Assuming that the basketball follows a parabolic path, we can use the formula:
y = ax² + bx + c,
where y is the height of the basketball, and x is the horizontal distance traveled by the basketball.
To find the values of a, b, and c, we need to know three points on the trajectory of the basketball. Let's assume that the basketball is thrown from a height of 1.5 meters and lands on the floor after traveling a horizontal distance of 8.5 meters.
Therefore, the points on the trajectory of the basketball are:
(0, 1.5), (8.5/2, h), and (8.5, 0),
where h is the height of the basketball at its highest point.Substituting these values in the equation of the trajectory,
we get:
1.5 = a(0)² + b(0) + c...(1)0 = a(8.5)² + b(8.5) + c...(2)h = a(8.5/2)² + b(8.5/2) + c...(3)
Simplifying equations (1) and (2),
we get:
c = 1.5...(4)b = -a(8.5)²/8.5...(5)
Substituting equation (4) in equation (3), we get:
h = a(8.5/2)² + b(8.5/2) + 1.5h = a(8.5/2)² - a(8.5)²/8.5 + 1.5h = -29.375a + 1.5
Substituting the value of a from equation (5) in the above equation,
we get:
h = -29.375(-a(8.5)²/8.5) + 1.5h = 0.5a(8.5)² + 1.5
Therefore, to find the height of the basketball at its highest point, we need to find the value of a. Since we know that the basketball lands on the floor after traveling a horizontal distance of 8.5 meters,
we can use the formula:
x = ut + 0.5at²,
where u is the initial horizontal velocity of the basketball, and t is the time taken by the basketball to travel a distance of 8.5 meters.
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Help me With this please.
m∠NOP = 90° is the value of angle .
What does a math angle mean?
An angle is made up of two rays (half-lines) that have a shared termination. The rays serve as the angle's sides, occasionally serving as the angle's legs and occasionally serving as its arms, while the latter is referred to as the vertex of the angle.
A figure that is created by two rays or lines that have the same endpoint is known as an angle in plane geometry. The Latin word "angulus," which meaning "corner," is the source of the English term "angle". The vertex, which is the shared terminal of the two rays, is referred to as the side of an angle.
m∠NOP = 90° is the value of angle .
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Find the value of x and y in the triangles below. Please help
Check the picture below.
Given that n is a positive number, write, in a symbolic statement, ‘the square of a positive number decreased by 10 is 6’
Answer:
n² -10 = 6
Step-by-step explanation:
If n represents a positive number, then "the square of a positive number" is represented by n². When that value is decreased by 10, it becomes ...
n² -10
and if that value is 6, the math expression is ...
n² -10 = 6
__
Additional comment
Increasing the value by 10 gives ...
n² = 16
and taking the positive square root gives us the value of the number:
n = √16 = 4
in this question we have to multiply 4 with 4 then we have to minus 16 with 10 we get the answer 6
so, first we have to multiply the 4 with 4= 4 × 4 = 16
then, we have to minus 16 with 10 we get :-= 16 - 10
we get :-= 6
in this question we have get 16 because √16 is the square root of 4Name
Date
SHARE THE TREASURE 3
Captain Salamander and his crew have found 24 bars of gold.
The captain decides that he is going to share all the treasure out.
He puts 1/3 of the bars to aside for himself.
He gives 1/4
of the bars to his friend Bill
He shares out 7 bars with the rest of his crew.
How many bars does he have left?
Z
/ 17
.
Answer:
3 bars
Step-by-step explanation:
Total no. of gold bars = 24.
Fraction of bar captain allocated to himself = 1/3 of the bars
no. of bars he allocated to himself = 1/3 of 24 = 1/3 * 24 = 8
Fraction of bar captain allocated to his friend bill = 1/4 of the bars
no. of bars he allocated to his friend bill = 1/4 of 24 = 1/4 * 24 = 6
No . of bars captain allocated to rest of crew = 7
Total no of bars which are allocated altogether =
no. of bars he allocated to himself +no. of bars he allocated to his friend bill +No . of bars captain allocated to rest of crew
substituting the value of above summation variable as calculated above we have
Total no of bars which are allocated altogether = 8+6+7 = 21
No. of bars left = total no. of bars - Total no of bars which are allocated altogether = 24 - 21 = 3
Thus 3 gold bars are left.
3. A cube is made for 1 million cubic centimeters e What is the length of the side of the cube in centimeters? s = 1 cm
the answer is 1 million cm
The length of the side of the cube is 100 centimeters
What is volume ?
Volume is a three dimensional space occupy by the body of particular shape such as here :
The formula for volume of a cube is expressed as:
Volume, V = a³
Where, a is the length of its side
Given that the volume is 1 million cubic centimeters = 1, 000, 00
Substitute the values
1, 000, 000 = a³
Find the cube root of both sides
a = ∛10^6
a = 100 centimeters
Thus, the length of the side of the cube is 100 centimeters
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How is multiplying 3/9 and 6/9 different from adding the two fractions
By multiplying the two fractions we get 2 / 9, and by adding we get 1.
In arithmetic, a product is the result of multiplication or an expression that identifies elements to be improved.
In math, multiply the method to add equal corporations. Whilst we multiply, the range of factors in the institution will increase. the two factors and the product are parts of a multiplication problem. Within the multiplication trouble, 6 × 9 = 54, the numbers 6 and 9 are the factors, at the same time as the range 54 is the product.
Multiplication is defined as calculating the end result of repeated additions of two numbers. An instance of multiplication is 4 instances 2 equals 8.
By multiplying the two fractions,
= 3 / 9 * 6 / 9
= 2 / 9
By adding the two fractions,
= 3 / 9 + 6 / 9
= 9 / 9
= 1
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Solve two and three eighths plus negative four and one fourth.
Answer:The answer would be -1 7/8
Step-by-step explanation:
2 3
8
–
4 1
4
= (2 – 4) + (
3
8
–
1
4
)
= -2 +
3
8
–
1 × 2
4 × 2
= -2 +
3
8
–
2
8
= -2 +
3 – 2
8
= -2 +
1
8
=
–1 7
8
2 3/8+ -4 1/4=
(2 + -4) + (3/8+-1/4)=
-2 + 3/8 + -1 × 2 over 4 × 2=
-2 + 3/8+ -2/8=
-2 +3 + -2 over 8=
-2 +18 =
–1 7/8
25) Find the measure of the side MN.
A) 17.1
B) 18.1
C) 19.1
The measure of the side MN is 19.1.
What are trigonometric functions?In mathematics, the trigonometric functions (also called circular functions, angle functions or goniometric functions) are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.
The different trigonometric identities are expressed as:
cosine, tangent, cotangent, cosecant, secant, and sineFrom the information given, we have that:
The opposite side of the triangle is MNThe adjacent side is 11ftUsing the tangent identity:
\(\text{tan} \ \theta = \dfrac{\text{opposite}}{\text{adjacent}}\)
Substitute the values
\(\text{tan}(60) =\dfrac{\text{MN}}{11}\)
Cross multiply the values, we have:
\(\text{MN} = \sf 1.73(11)\)
\(\text{MN} = 19. 05 \thickapprox\bold{\underline{19.1 \ ft}}\)
Hence, the measure of the side MN is 19.1.
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In ΔGHI, the measure of ∠I=90°, GI = 5, IH = 12, and HG = 13. What ratio represents the tangent of ∠G?
Answer:
80/39
Step-by-step explanation:
5) There are six boys and six girls in a class.
The teacher randomly selects one student
to answer a question. Later, the teacher
randomly selects a different student to
answer another question. The first student
is a boy and the second student is a girl.
Answer:
the probability is here down hope you will see
A lot of points. PLEASE HELP! I will mark brainliest. Whoever gets it right first.
The radius of a circle is 4 miles. What is the length of a 45° arc?
45°
r=4 mi
The length of a 45° arc with a radius of 4 miles is approximately 3.14 miles, calculated using the formula for arc length.
To determine the length of a 45° arc given a radius of 4 miles, we can use the formula: Arc length = (angle measure / 360°) x 2πr, where r is the radius of the circle and π is a constant equal to approximately 3.14.
Substituting the given values into the formula, we get: Arc length = (45° / 360°) x 2π(4 mi)Arc length = (1/8) x 2π(4 mi)Arc length = (1/8) x 8π Arc length = π
The length of the 45° arc is approximately 3.14 miles.
Summary: To find the length of a 45° arc of a circle, we use the formula: Arc length = (angle measure / 360°) x 2πr. Given a radius of 4 miles, we can substitute the values into the formula to get the length of the 45° arc, which is approximately 3.14 miles.
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A school club has ordered a box of 50 booklets for a fundraiser. Unfortunately, 10 of the booklets are missing several pages. A student randomly selects 5 booklets to hand out in class. What is the probability the student selects 5 booklets with no missing pages? Round the answer to the nearest whole percent 31% 40% 54% 58%
Answer:
50%
Step-by-step explanation:
are fractions with the same denominator?
Answer:
To solve fractions, you MUST HAVE THE SAME DENOMINATORS WHEN DEALING WITH ADDITION AND SUBTRACTION.
Step-by-step explanation:
For example, 2/3 + 3/6
The denominators in this case have a common denominator which is 6.
All you have to do is multiply the 2/3 by 2 in the numerator and the denominator. Once you do, you'll get 4/6 which you could then add to 3/6 to get 7/6 which would equal 1 1/6 or 7/6 either is fine.
Hope this helps! :)
Answer:
To solve fractions, you MUST HAVE THE SAME DENOMINATORS WHEN DEALING WITH ADDITION AND SUBTRACTION.
Step-by-step explanation:
Two fractions are equal. They also have the same denominator. What must be true of the numerators of the fractions? Explain.
Answer: The numerators must be the same for the fractions to be equal.
The denominator of a fraction is the bottom number. Take a look at these two fractions.
¾ & ¾
The numbers at the bottom are the same. If I eat ¾ of an apple and you eat ¾ of an apple, we both eat the same amount.
Now look at these fractions.
⅗ & ¾
They both have the same top number (numerator), but they have different denominators. If I eat ¾ of an apple and you eat ⅗ of an apple, we both do not eat the same amount.
So if both the numerator and denominator are the same they are equal.
This means that the numerators must be the same for the fractions to be equal.
I hope this helps & Good Luck <3 !!!
What does the net decimal equivalent (NDE) represent?
Answer:
the product of the decimal equivalents of all discount in the series
2x+7=10 solve x simplify your answer
Answer:
1.5 or 1 1/2
Step-by-step explanation:
2x+7=10 (subtract 7 from both sides)
2x=10-7
2x=3 (divide both sides by 2)
X=3/2
Simplify
X= 1.5 or 1 1/2
if you take away 25 from a number you will be left with two and halftimes 30. what is the number?
Solve for q.
7q+17q–14q–8q=14
q=
\((7 + 17 - 14 - 8)q = 14\)
\((24 - 22)q = 14\)
\(2q = 14\)
Divide both sides by 2
\( \frac{2q}{2} = \frac{14}{2} \\ \)
\(q = 7\)
There u go...
Have a great day ❤
Find the area of each shape.
Answer:
Square area formula: A = a²
Rectangle area formula: A = a × b.
Triangle area formulas: A = b × h / 2 or. ...
Circle area formula: A = πr²
Circle sector area formula: A = r² × angle / 2.
Ellipse area formula: A = a × b × π
Trapezoid area formula: A = (a + b) × h / 2.
Parallelogram area formulas:
Step-by-step explanation:
Area is the term used to define the amount of space taken up by a 2D shape or surface. We measure area in square units : cm² or m². Area is calculated by multiplying the length of a shape by its width.
Find the magnitude and direction of the vector using the given information. V=<6,7>
Answer:
The magnitude of the vector is 9.165 and it's direction is 40.6°
Step-by-step explanation:
Vector Quantities:A vector quantity is a quantity that has both size (magnitude) and direction. Examples of vector quantities are force, velocity and impulse.
Magnitude of vector v is given by
|v| = √6²+7²
= √36+49
= √84
= 9.165
Direction of vector v is obtained by:
\( \tan( \theta) = \frac{x}{y} \)
\(\theta = {tan}^{ - 1} ( \frac{6}{7}) \)
\(\theta = {40.6°}\)
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What grade will you be in 1000 more school days?
Now in 5th Grade; 180 days for 1 school year
Answer: In the middle of your 8th grade year
Step-by-step explanation: Well, usually 5th graders are 10, and 11, and there are 40 weeks in 180 days, and 180 days in a school year, so if you're in 5th grade right now you would need to subtract 1000 - 180, and get 820. Then you can find your answer. 180 + 180 = 360, so you would be in 6th grade in 360 days, and 360 + 180 = 540 so you would be in 7th grade in 540 days, and you would be in 8th grade in 720 days, and you would be in 8th grade in 980 days, so you would be and you would be a freshman in high school in 1,160 days so you would be in your 8th-grade year in 1000 days if you were in 5th grade. Hope this helps!
Write the algebraic expression: The sum of 2 and 83p
Answer and Step-by-step explanation:
2 + 83p would be the expression.
In word form:
Two plus eighty three times p.
#teamtrees #PAW (Plant And Water)
Answer:
\(2 + 83p\)
Step-by-step explanation:
The phrase 'the sum of' indicates addition.
The phrase "The sum of 2 and 83p" would add '2' and '83p'.
"The sum of 2 and 83p" as an expression would be: \(2 +83p\).
\(83p + 2\) would also be correct due to the commutative property.
Hope this helps.
Select the correct answer.
Each statement describes a transformation of the graph of f(x) = x. Which statement correctly describes the graph of g(x) if g(x) = f(x - 11)?
A. It is the graph of f(x) where the slope is increased by 11.
It is the graph of f(x) translated 11 units to the left.
It is the graph of f(x) translated 11 units up.
It is the graph of f(x) translated 11 units to the right.
B.
C.
OD.
The correct answer is C. It is the graph of f(x) translated 11 units to the left.
The correct answer is:
C. It is the graph of f(x) translated 11 units to the left.
When we have a function of the form g(x) = f(x - a), it represents a horizontal translation of the graph of f(x) by 'a' units to the right if 'a' is positive and to the left if 'a' is negative.
In this case, g(x) = f(x - 11), which means that the graph of f(x) is being translated 11 units to the right. However, the answer options do not include this specific transformation. The closest option is option C, which states that the graph of g(x) is translated 11 units to the left.
The graph of f(x) = x is a straight line passing through the origin with a slope of 1. If we apply the transformation g(x) = f(x - 11), it means that we are shifting the graph of f(x) 11 units to the right. This results in a new function g(x) that has the same shape and slope as f(x), but is shifted to the right by 11 units.
Therefore, the correct answer is C. It is the graph of f(x) translated 11 units to the left.
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