Answer:
3.5 m/s²
Step-by-step explanation:
We are given;
The force of a bicycle as 3.5 × 10² NMass of the bicycle as 1.0 × 10² kgWe are required to determine the acceleration of the bicycle;
From Newton's second law of motion;
F = ma
Rearranging this;
a = F÷ m
Therefore;
Acceleration = 3.5 × 10² N ÷ 1.0 × 10² kg
= 3.5 m/s²
Thus, the acceleration of the bicycle is 3.5 m/s²
The shape below is transformed to another shape.
Which shape could be its image?
Answer:
The 4th Image
Step-by-step explanation:
A triangular right prism is cut perpendicular to the base. What is the shape of the cross section?
hexagon
rectangle
trapezoid
triangle
Carl can type 150 words in 3 minutes. How many words can he type in 1 minutes
Answer: 50 words per minute
Step-by-step explanation: You need to find the unit rate, so you solve 150=3x to get x=50
8. How do temperature and
salinity affect seawater density?
Answer:
Step-by-step explanation:
increase density of seawater
A Girl gets 2,000 gift toward a college education from her grandparents. How much will the 2,000 be worth in 17 years if it is invested at 7% and compounded quarterly
Answer:
yes
Step-by-step explanation:
The functions, f and g, are defined below.
f(x) = 2x² +5
g(x)=x-3
What is f(g( – 5))
Answer:
a
Step-by-step explanation:
Answer:
133
Step-by-step explanation:
Evaluate g(- 5) then substitute the value obtained into f(x)
g(- 5) = - 5 - 3 = - 8, then
f(- 8) = 2(- 8)² + 5 = 2(64) + 5 = 128 + 5 = 133
An explanation would be appreciated! Will mark BRAINLIEST for best answer! #3
Answer:8:24
Step-by-step explanation:
So since it is 1:3 and 2 dozen is 24 so 24 divided by 3 = 8 so now it’s 8:24
WILL GIVE BRAINLIEST ANSWER ASAP!!
How are the properties of exponents used to rewrite expressions?
Answer: The five exponent properties are
Product of Powers: When you are multiplying like terms with exponents, use the product of powers rule as a shortcut to finding the answer. It states that when you are multiplying two terms that have the same base, just add their exponents to find your answer.
Power to a Power.: When raising a power to a power in an exponential expression, you find the new power by multiplying the two powers together. ... Then multiply the two expressions together. You get to see multiplying exponents (raising a power to a power) and adding exponents (multiplying same bases).
Quotient of Powers.: When you are dividing like terms with exponents, use the Quotient of Powers Rule to simplify the problem. This rule states that when you are dividing terms that have the same base, just subtract their exponents to find your answer. The key is to only subtract those exponents whose bases are the same.
Power of a Product: The Power of a Product rule is another way to simplify exponents. ... When you have a number or variable raised to a power, it is called the base, while the superscript number, or the number after the '^' mark, is called the exponent or power.
Power of a Quotient.: The Power of a Quotient rule is another way you can simplify an algebraic expression with exponents. When you have a number or variable raised to a power, the number (or variable) is called the base, while the superscript number is called the exponent or power
You can use these any way you want to rewrite an equation.
Hope this helped
:D
The properties of exponents are rules to simplify expressions with powers, which include adding exponents when multiplying like bases, multiplying exponents when raising powers to powers, and subtracting exponents when dividing like bases.
Explanation:The properties of exponents are mathematical rules used to rewrite expressions involving powers in simpler or alternative forms. These properties are essential for performing operations with exponents and include rules for multiplying, dividing, and raising powers to powers.
Examples of Exponent Properties
Multiplying Powers with the Same Base: 10³ × 10² = 10³+2 = 10µ.
Raising a Power to a Power: (5³)⁴ = 5³×4 = 5¹², or 5 multiplied by itself 12 times.
Negative Exponents: 2.4 x 10⁻² tells you to move the decimal point to the left twice, which equals 0.024.
Application of Exponent Properties
To apply these properties, you would systematically use the appropriate rule based on the operation you're performing. For multiplication, add the exponents when the bases are the same. For powers, multiply the exponents. For division, subtract the exponents when the bases are the same. Using these rules simplifies complex expressions and makes it easier to work with exponents in algebra and science.
Solve for x.
x2 + 8x + 15 = 0
Answer: x=−3 or x=−5
Step-by-step explanation:
Step 1: Factor left side of equation.
(x+3)(x+5)=0
Step 2: Set factors equal to 0.
x+3=0 or x+5=0
x=−3 or x=−5
Answer:
These are the answers
Step-by-step explanation:
Type the correct answer in each box. Use numerals instead of words, if necessary, use / for the fraction bars
Line m has no y intercept, and its x-intercept is (3,0). Line n has no x intercept and its
y -intercepts is (0-4).
The equation of line m is ___
and the equation of line n is ___
Answer:
equation of line m is x=3
equation of line n is y=-4
Step-by-step explanation:
Line m has no y intercept, and its x-intercept is (3,0).
When a line has no y intercept then it is a vertical line
for any vertical line the equation is x= x1
(3,0) is (x1,y1)
so equation of line m is x=3
Line n has no x intercept and its y -intercepts is (0-4).
When a line has no x intercept then it is a horizontal line
for any horizontal line the equation is y= y1
(0,-4) is (x1,y1)
so , the equation of line n is y=-4
Solve for y.
Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions.
-65y + 19 < -2y +41
Answer:
y>- 22/63
Step-by-step explanation
-65y+19<-2y+41
-65y+2y<41-19
-63y<22
y>-22/63
The solution to the inequality is y > -22/63.
How to solve for yTo solve the inequality -65y + 19 < -2y + 41 for y, we'll follow these steps:
-65y + 19 < -2y + 41
First, we'll combine like terms by moving the terms with y to the left side and the constant terms to the right side:
-65y + 2y < 41 - 19
-63y < 22
Next, we'll isolate y by dividing both sides of the inequality by -63. Remember that when we divide by a negative number, the inequality sign flips:
y > 22 / -63
Simplifying the fraction:
y > -22/63
Therefore, the solution to the inequality is y > -22/63.
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Given g(x) =
√x-4
and
h(x) = 2x-8.
What are the restrictions on the domain of goh?
Answer:
[6 , +∞[
Step-by-step explanation:
Domain of g is all x≥4
domain of f is all real numbers
domain of goh is all real numbers x that verify 2x-8≥4 ⇒ x≥6
The restriction on the domain of goh is x ≥ 4.
Explanation:To find the restrictions on the domain of goh, we need to consider the compositions of the two functions g(x) and h(x).
It is important to note that the square root function √x has a restriction on its domain. The expression inside the square root must be greater than or equal to zero. So, for g(x), we have x - 4 ≥ 0. Solving for x, we find that x ≥ 4.
Now, let's consider the composition goh(x). We substitute h(x) into g(x) as follows: goh(x) = g(h(x)) = g(2x-8).
The domain of h(x) is all real numbers, so we don't have any restriction for h(x). However, when we substitute h(x) into g(x), we must make sure that the resulting expression is within the domain of g(x), which is x ≥ 4. Therefore, the restriction on the domain of goh is x ≥ 4.
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a persona initials are created using first letter of their first name, middle name, and last name. How many initials are possible?
Answer:
17576 Combinations.
Step-by-step explanation:
There are 26 letters in the Current English Lexicon (Alphabet), If there are 3 letters in a person's initials, then our equation would turn out to be "26³ = 17576". So, There are 17576 different possible combinations.
Final answer:
The total number of possible initials a person can have, using the first letters of their first name, middle name, and last name in the English alphabet, is 17,576. This is calculated by multiplying the number of alphabet letters (26) for each initial, resulting in a product of 26 x 26 x 26.
Explanation:
To calculate the number of possible initials a person can have from their first name, middle name, and last name, we must consider that each initial can be any letter from the English alphabet, which has 26 letters. Since each initial is independent of the others, the total number of possible initials is found by multiplying the number of options for each initial together.
The calculation is as follows:
First name initial: 26 possibilities (A-Z)
Middle name initial: 26 possibilities (A-Z)
Last name initial: 26 possibilities (A-Z)
So, the total number of possible initials would be:
26 (for the first name) x 26 (for the middle name) x 26 (for the last name) = 17,576 possible initials.
A certain math teachers likes to keep a box of prizes to distribute to students. The math teacher likes to keep at least twice as many prizes in the box as she has students. If the math teacher currently has 109 students and the box has 88 prizes in it, Determine hw many prizes she would need to buy.
A. 109
B. 108
C. 130
D. 218
Option C
Math teacher would need to buy 130 prizes
Solution:
Given that,
Math teacher currently has 109 students and the box has 88 prizes in it
The math teacher likes to keep at least twice as many prizes in the box as she has students
So, she wants the number of prizes to be twice the number of students
Therefore,
number of prizes = 2 x 109 students
number of prizes = 2 x 109 = 218 prizes
The box has 88 prizes in it
Therefore, number of prizes she would need to buy is:
⇒ 218 - 88 = 130
Thus she would need to buy 130 prizes
Dory and Nemo go to Taco Bell for lunch. Dory orders 3 soft tacos and 3 double deckers for $11.25. Nemo orders 4 soft tacos and 2 double deckers. Write a system of equations that represent the lunch orders for Dory and Nemo. Use x to represent soft tacos and y to represent double deckers.
Answer:
y = 2.50 , x = 1.25
Step-by-step explanation:
x = soft tacos
y = double deckers
Dory:
3x + 3y = 11.25
Nemo:
4x + 2y = 10.00
---Now to solve for x and y---
---We find LCM of either x or y then make them cancel each other---
Dory multiply by 2:
6x + 6y = 22.50
Nemo multiply by 3:
12x + 6y = 30.00
--eliminate y---
Nemo subtract Dory:
6x = 7.50
Therefore x = 7.50 ÷ 6 = 1.25
---Now substitute x = 1.25 in either equation.---
Dory:
3.75 + 3y = 11.25
Therefore 3y = 11.25 - 3.75
therefore 3y = 7.50
there fore y = 2.50
y = 2.50 , x = 1.25
Answer:
x= $2.50, y= $1.25
Step-by-step explanation:
X= soft taco
Y= double deckers
$11.25= 3x+3y
$10.00= 4x+2y
first eliminate 1 variable, lets say d, to do this we must cancel them out, to do this multiply the top by -2 and the bottom by 3
-2 ($11.25= 3x+3y) -$22.50= -6x-6y
3 ($10.00= 4x+2y) which becomes. $30.00=12x+6y
then the -6y and the positive 6y cancel out and you are left with 1 variable
after this add the remaining parts to get.
$7.50=6x divide by 6, then put x back into one of your original equations and solve for d then you have found how much each item costs and are finished with the system of equations
in a right angle,the altitude to a 6ft hypotenuse.Find the length of the altitude and each leg.
Answer:a=3.6 and b=4.8
Step-by-step explanation:(a^2)+(b^2)=(c^2)
Where c is hypotenuse is equal to 6. A right triangle is also known as a 3,4,5 triangle where the 2 legs are 3 and 4 and hypotenuse is 5. Find the factor in size difference by dividing your hypotenuse of 6 by the hypotenuse of 5 you get 1.2. Now multiply the 3 and 4 by 1 2 to get your answers of 3.6 and 4.8.
To check work simply plug in your legs as a and b
(3.6^2)+(4.8^2)=(6^2)
(12.96)+(23.04)=(36)
Please help me!!!!! Its exponents!
Answer:
Please check the answer below.
Step-by-step explanation:
Considering the statement
[tex]2^?<3^?[/tex]
If [tex]?[/tex] is an whole number.
Set of whole number = {0, 1, 2, 3, ....}
Example 1:
When statement is always true:
For x > 0, the statement will be always be true.
Lets put x = 1
[tex]2^1<3^1[/tex]
2 < 3
So, the statement is true when x = 1
Example 2:
When statement is always true:
For x > 0, the statement will be always be true.
Lets put x = 2
[tex]2^2<3^2[/tex]
4 < 9
So, the statement is true when x = 2
Example 3:
When statement is Never true:
For x = 0, the statement will never be true.
Lets put x = 0
[tex]2^0<3^0[/tex]
[tex]\mathrm{Apply\:rule}\:a^0=1,\:a\ne \:0[/tex]
[tex]2^0=1, 3^0=1[/tex]
So,
[tex]1<1[/tex]
Therefore, the statement is False.
Keywords: exponential number, whole number
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What is the value of X to the power of 3+4 when X equals six
Answer: x=279,936
Step-by-step explanation:
See attachment
What is an equation of the line that passes through the points (4,-6) and has a slope of -3
Answer:
Step-by-step explanation:
point slope form
y + 6 = -3(x - 4)
point slope to y-intercept
y + 6 = -3x + 12
y = -3x + 6
Alex flies airplanes. His plane ascends 100 feet above the ground level in 20 seconds. What is the rate of the ascension in feet per second?
You divide 20 by 100
What is the ratio between the pair of sides 50 m and 30 m?
Answer:
It is 5 to 3
Step-by-step explanation:
What is the value of x? Enter your answer in the box. x = NOTE: Image not drawn to scale.
Answer: 41
Step-by-step explanation: I just took the test
To determine the value of x, various methods are used depending on the context, including setting up proportions for scale models, applying the quadratic formula, solving linear equations, and establishing ratios.
Explanation:To find the value of x, we have various scenarios illustrating different mathematical concepts, such as proportions, the quadratic formula, and linear equations. Each scenario requires specific steps to solve for x, but they all center on mathematical problem-solving skills.
When dealing with proportions, such as a scale model, you set up a proportion correlating the scale size to the actual size and then cross multiply to solve for x. In the situation where a quadratic equation is involved, you apply the quadratic formula to determine the value of x, taking care to discard any solutions that do not make sense in the physical context of the problem, such as negative distances.
For linear equations, you enter the given data into a calculator or computer and solve for x, while ensuring you round off to the accuracy required, typically four decimal places. Ratios and scale factors also play a role in determining x, where you establish a ratio based on given dimensions and solve for the unknown.
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Luna mixes 3/4 cup of orange juice with 3/8 cups of cranberry juice. She gives 5/8 cup of the juice to mags. How much is left in Luna's glass?
Answer:
Step-by-step explanation:
Steve is trying to determine the proper rectangular pan to use for his banana bread recipe. He has four different pans that he can use, each with the same length and width but all with different heights. If Steve has 112.5 cubic inches of banana bread batter, and the base of each pan is 45 square inches, what is the height of the pan that he should use for the batter to completely fill the pan? A. 1.75 inches B. 2.5 inches C. 3.25 inches D. 4 inches
Answer:
it is B 2.5
Step-by-step explanation:
The height of the pan that he should use for the batter to completely fill the pan is 2.5 inches.
What is Volume?From this interactive, formula for volume is V = l w h (volume equals length times width times height) and can also be written V = B h (volume equals the area of the base times the height).
The volume is equal to the product of the area and height of the shape. Volume = Base Area x Height.
Given:
Base Area= 45 sq. inches
Volume= 112.5 cubic inches
So,
Volume= Base Area x Height
112.5 = 45 x Height
Height= 112.5 / 45
Height = 2.5 inches
Hence, the height of the pan that he should use for the batter to completely fill the pan is 2.5 inches.
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Are the expressions -0.5(3x + 5) and -1.5x + 2.5 equivalent? Explain why or why not
Answer:
Step-by-step explanation:
-0.5(3x + 5) and -1.5x + 2.5
-0.5(3x + 5)...distribute the -0.5 thru the parenthesis
-1.5x - 2.5
no, these are not equivalent.... one is -1.5x + 2.5 and the other is -1.5x - 2.5....not the same
Answer:
Both expressions are not equal
Step-by-step explanation:
First expression is
-0.5(3x + 5)
By multiplying
-1.5x - 2.5
2nd expression is
-1.5x + 2.5
Only Sign is different with 2.5 in both cases
what is 12 divided by 3045 and a mixed number
Answer:
253.75
Step-by-step explanation:
Help meee I just need two topics done
x > –5
Solution:
Given expression is –5 < 2x + 5.
Step 1: Let us first switch the sides.
⇒ 2x + 5 > –5
Step 2: Subtract 5 from both side of the inequality.
⇒ 2x + 5 –5 > –5 –5
⇒ 2x > –10
Step 3: Divide by 2 on both sides of the inequality.
[tex]$\Rightarrow\frac{2x}{2} >\frac{-10}{2}[/tex]
⇒ x > –5
Step 4: That is the values of x are greater than –5.
Hence x > –5.
Write each fraction in simplest form
6/24
Answer:
1/4
Step-by-step explanation:
It is 1/4 because you divide the fraction by its highest multiple for 6 and 24 its 6, so you divide the numerator and denominator by 6.
what is the value of y?
Answer:
see here our answer is 60 degrees now how I will tell u see u know the sum of triangle that is 180 degrees now add up. y +y + 60 = 180 and solve it u will get ur correct answer
comment if u have doubt
Answer:
60
Step-by-step explanation:
Because you would 180/3 and will get 60
I’m trying to place this into factored form please help and show steps. Thank you! I’m also giving a lot of points so please give a good answer!
5x^2 + 7x -6
Rewrite the middle term whose product equals first term x last term: 5 x -6 = -30 and whose sum equals the middle term.
Rewrite 7 as -3 + 10
5x^2 +(-3+10)x -6
Use distributive property:
5x^2 -3x + 10x -6
Group the first two terms and last two terms:
(5x^2 -3x) (10x -6)
Factor out greatest common factor of each group to get final answer:
(5x-3)(x+2)