Answer:
Interval notation,
\(\left(-\infty, -\dfrac 14 \right) \cup \left(-\dfrac 14, 0 \right) \cup (0,2) \cup (2, \infty)\)
Step-by-step explanation:
Answer:
The third one is correct
Step-by-step explanation:
....
What is the total weight of candy in a 5/6 pound bag site
We can see here that the total weight of candy in a 5/6 pound bag site is 377 grams.
What is weight?Weight is a measure of the force exerted by gravity on an object. It is the measure of how heavy an object is. Weight is typically expressed in units such as pounds or kilograms. The weight of an object can vary depending on the gravitational force acting on it.
There are 16 ounces in a pound.
Thus, a 5/6 pound bag of candy weighs
5/6 × 16 = 13.3 ounces.
If you want to know the weight in grams, 13.3 ounces is equal to 377 grams.
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Which of the following is a rational number?
Α. π
B. 12.13141516...
C. V16
D. V7
Which of these act as an unbalanced force to stop objects in motion? Choose more than one answer.
A catapult, seatbelt, parachute, safety net, or unbalanced force can be used to stop moving objects.
What is unbalanced force to stop objects in motion?When a seatbelt is fastened during sudden braking or a crash, it exerts pressure on the passenger's body and prevents them from moving forward.
Similar to this, when a parachute is opened, a significant amount of air resistance force is generated, slowing the wearer's descent.
A safety net exerts force on an object that is falling on it as well, absorbing the kinetic energy and stopping it.
A catapult can apply a significant unbalanced force that can halt an object in motion by quickly transferring energy from its springs or elastic materials to the target.
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Keisha, Miguel, and Ryan sent a total of 103 text messages during the weekend. Ryan sent 3 times as many messages as Miguel. Keisha sent 8 more
messages than Miguel. How many messages did they each send?
Number of text messages Keisha sent:
Number of text messages Miguel sent:
Number of text messages Ryan sent:
Answer:
only god knows
Step-by-step explanation:
because they didn't give us an answer on how many text messages anyone sent
toilet rolls come in packs of 4 and 9
the 4 packed price $2.04
and the 9 packed is priced at $4.68
Answer: 2.04÷ 4= 0.51
4.68÷9= 0.52
4 pack is better value by 0.01
Luka spent $90 on a bike. This was 5/6 of his
savings. how much did he have left?
Answer:
$75
Step-by-step explanation:
Cos A= 0.4848
A) 61
B)44
C)82
D)54
Answer:
A 61
Step-by-step explanation:
Cos A = 0.4848
A = cos ^-1(0.4848)
A = 61
A stone is dropped from the upper observation deck of a tower, 950 m above the ground. (Assume g = 9.8 m/s2.)
(a) Find the distance (in meters) of the stone above ground level at time t.
(b) How long does it take the stone to reach the ground? (Round your answer to two decimal places.)
(c) With what velocity does it strike the ground? (Round your answer to one decimal place.)
(d) If the stone is thrown downward with a speed of 8 m/s, how long does it take to reach the ground? (Round your answer to two decimal places.)
a) The distance of the stone above ground level at time t :
d(t)= -4.9t² + 950
b) It takes 13.92 seconds the stone to reach the ground
c) With 136.42 m/s velocity the stone strikes the ground.
d) If the stone is thrown downward with a speed of 8 m/s, it will take 13.13 seconds to reach the ground
Here, a stone is dropped from the upper observation deck of a tower, 950 m above the ground.
(a) the distance of the stone above ground level at time t would be,
d(t) = 0.5 (-9.8) t² + v(0) t + d(0)
= (-4.9)t² + 0t + 950
= -4.9t² + 950
(b) Now we find the time the stone takes to reach the ground.
i.e., the value of 't' when d = 0
Substituting d(t) = 0 in the above equation.
-4.9t² + 950 = 0
t² = (-950) / (-4.9)
t² = 193.88
t = 13.92 seconds
(c) We need to find the velocity the stone takes to strike the ground
i.e., the velocity when t = 13.92 seconds
v(t) = v(0) + gt
v(13.92) = 0 + (9.8)(13.92)
v = 136.42 m/s
(d) here, v(0) = -8 m/s
Velocity is negative because stone is being thrown downward.
d(t) = 0
(-4.9)t² + v(0) t + d(0) = 0
(-4.9)t² -8t + 950 = 0
Using the quadratic formula we solve above equation for,
t = -14.76, 13.13
We can disregard the negative solution
So, we get t = 13.13 seconds.
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Pedro’s salary was increase by 5.2% after the increase, his salary was £28141 work out his salary before the increase
Answer:
£26750
Step-by-step explanation:
x = salary before the increase
x + x(1.052) = 28141
1.052x = 28141
x = 28141/1.052 = 26750
This means he got a £1391 raise
Solve the formula Ax+ By= C for x.
Solve for x
Answer:
A) \(x=\frac{C-By}{A}\)
Step-by-step explanation:
\(Ax+By=C\\Ax=C-By\\x=\frac{C-By}{A}\)
A pharmaceutical sales rep receives an 3.5% commission for selling
medication to physicians. If he sells $22,500 of medication, then how
much commission will he earn? *
Answer:
$787.50
Step-by-step explanation:
He will earn 22500*3.5/100 dollars. Simplifying will get 225*3.5, which is 787.5. So, he will get $787.50
What is the line’s slope?
Answer:
0
Step-by-step explanation:
it's straight
Answer:
0
Step-by-step explanation:
because it does not rise or fall so it has no slope.
Please mark brainlest
Mia agrees to borrow a 3-year loan with 4% simple interest to buy a motorcycle.
Part A
If Mia will pay a total of $444 in interest, how much money did she initially borrow? Enter your answer in the box.
$
Part B
How much interest would Mia pay if the simple interest rate were 5%? Enter your answer in the box.
Answer:
part a: she borrowed 3,700
part b: she would pay 555 interest
Step-by-step explanation:
part 1
Solve the following equation
3(2y + 4) = -2y + 20
(show steps)
part2
what is the value of y?
Answer:
1
Step-by-step explanation:
3(2y+4)=-2y+20 distribute
6y+12=-2y+20 isolate variable
8y+12=20 subtract number
8y=8
y=1
Hope this helps plz hit the crown :D
PLEASE HURRY TAKING A TEST RN
Type the correct answer in each box.
An image of lines p and q parallel to each other. Lines m and n are not parallel to each other. Line m, p form an angle of one hundred two degrees and an angle marked y. Lines n, q form an angle marked x and an angle of one hundred fifteen degrees.Parallel lines p and q are cut by two non-parallel lines, m and n, as shown in the figure.
The value of x is
degrees, and the value of y is
degrees.
The value of angle x and angle y is determined as 78⁰ and 115⁰ respectively.
What is the value of angle x and angle y?The value of angle x and angle y is calculated by applying principle of angles formed by parallel lines as follows;
The value of angle adjacent x = 102⁰
The value of angle x is calculated as;
x = 180 - 102 ( sum of angles on a straight line)
x = 78⁰
The value of angle y is calculated as follows;
y = 115⁰ (corresponding angles are equal)
Thus, the value of angle x and angle y is determined as 78⁰ and 115⁰ respectively.
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Using log evaluate 3^x=10
Answer:
x ≈ 2.09590327429
Step-by-step explanation:
You want the solution to 3^x = 10 using logarithms.
LogsTaking logarithms of both sides of the given equation, we have ...
x·log(3) = log(10)
Dividing by the coefficient of x gives ...
x = log(10)/log(3)
x ≈ 2.09590327429
__
Additional comment
If the logarithm to the base 10 is used, then this becomes ...
x = 1/log₁₀(3)
The meaning of "log( )" varies with the context. In high-school algebra, it usually means "log₁₀( )". In other contexts, it may mean "ln( )", the natural logarithm.
For the purpose here, it doesn't matter what base the logarithms have, as long as log(10) and log(3) are to the same base.
<95141404393>
The approximate value of x that satisfies the equation 3^x = 10 is approximately 1.46497.
To evaluate the equation 3^x = 10 using logarithms, we can take the logarithm of both sides of the equation. The most commonly used logarithm is the base 10 logarithm, also known as the common logarithm (log).
Taking the log of both sides, we get:
log(3^x) = log(10)
Now, we can apply the logarithmic property that states log(a^b) = b * log(a). Applying this property to the left side of the equation:
x * log(3) = log(10)
Next, we can divide both sides of the equation by log(3) to isolate the variable x:
x = log(10) / log(3)
Using a calculator, we can evaluate the right side of the equation:
x ≈ 1.46497
Therefore, the approximate value of x that satisfies the equation 3^x = 10 is approximately 1.46497.
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Linear equations graph
Step-by-step explanation:
PLot two pioints....connect the points
Use the y -intercept given y = -1 when x = 0 Plot that
when y = 0 x = 1/2 plot that
draw line through these points :
Answer:
Step-by-step explanation:
Which problem solving strategy would be best to solve this problem?
Brandon went to the store and spent $2.50 on pencils. He spent half of what he had left on a notebook and paper. When he got home he had $5.00 left. How much money did Brandon have before going to the store?
Answer: The best problem solving strategy to solve this problem with is a formula. Additionally Brandon had $12.50 before going to the store.
Step-by-step explanation: Formula and Solving it
He Spent $2.50 on pencils.
Amount left after buying a pencil = x - 2.50
Next, he spent half of the amount left in his pocket.
He spent (x - 2.50)/2 on notebook and paper.
So the total amount he spent = 2.50 + (x -2.50)/2
Amount left when he got home =$ 5.00
That means, x - Total amount spent = 5
=> x - (2.50 + (x -2.50)/2 ) = 5
=> x - 2.50 -x/2 + 2.50/2 = 5
=> x/2 - 2.50/2 = 5
=> x/2 = 5 + 2.50/2
=> x/2 = 6.25
=>x = $12.5
grade 11 2022 June common test mathematics memorandum?
Note that the roots of the equation Unequal and rational (Option D)
How is this so ?The roots of the equation (x - 3)² = 4 can be found by taking the square root of both sidesof the equation.
x - 3 = ±√4
⇒ x - 3 = ±2
Solve for x
For the positive square root.
x - 3 = 2
x = 2 + 3
x = 5
For the negative square root.
x - 3 = -2
x = -2 + 3
x = 1
Since the equation has two roots, x = 5 and x = 1. These roots are unequal and rational. (Option D)
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Full Question:
Although part of your question is missing, you might be referring to this full question:
The roots of the equation (x - 3)² = 4 are
A.Unequal and irrational.
B.Equal and rational.
C. Equal and irrational.
D. Unequal and rational.
Reuben made a shirt using 7/8yards of red fabric and 1/4yards of yellow fabric. How many more yards of red fabric did Reuben use?
Answer and Step-by-step explanation:
To find out how many more yards of red fabric Reuben used, we need to subtract the amount of yellow fabric from the amount of red fabric. Since the two fractions have different denominators, we need to find a common denominator before subtracting them. The least common multiple of 8 and 4 is 8, so we can rewrite both fractions with a denominator of 8:
7/8 - 1/4 = 7/8 - (1/4) * (2/2) = 7/8 - 2/8 = (7 - 2)/8 = 5/8
So, Reuben used 5/8 yards more red fabric than yellow fabric.
Vector v = (2,1). What operation has been performed on v to result in the vector that is shown?
The operation that has been performed on v to result in the vector that is shown is multiplication by -1.
How to explain the vectorThe vector that is shown is (-2, -1). This can be obtained from vector v = (2, 1) by multiplying it by -1. Multiplying a vector by a negative number reverses its direction.
Multiplication of a vector by a number is performed component-wise. This means that each component of the vector is multiplied by the number. In the case of (-1) * (2, 1), each component is multiplied by -1. This results in the vector (-2, -1).
Here is the mathematical equation:
(-1) * (2, 1) = (-2, -1)
Therefore, the operation that has been performed on v to result in the vector that is shown is multiplication by -1.
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120 + [5(10 + 2)]
Need help
Answer: The answer is 180
Step-by-step explanation: i hope this helped
The box plots show the weights, in pounds, of animals at two different zoos,
Animals in City Zoo
120 125 130 135 140 145 150 155 160 165 170
Animals in Country Zoo
What is the difference between the median weights of the animals in City Zoo and in Country Zoo in pounds
Answer:
it is 10 pounds
Step-by-step explanation:
Explain in detail using words the step by step process that Maggie took to solve the problem 6.89 x 10^-4 / 7.5 x 10^-6 = .92 x 10^1
The steps in solving the given expression shows that the result is:
0.92 * 10²
How to use Laws of Exponents?The expression is given as:
6.89 * 10⁻⁴/(7.5 * 10⁻⁶) = 0.92 * 10¹
The steps that Maggie followed are:
Step 1: Rewrite the given expression:
6.89 * 10⁻⁴/(7.5 * 10⁻⁶) = 0.92 * 10¹
Step 2: Divide the coefficients:
The coefficient of the numerator (6.89) is divided by the coefficient of the denominator (7.5) to get:
6.89 / 7.5 = 0.9186667.
Step 3: Divide the powers of 10:
This is done by subtracting the exponent of the denominator 10⁻⁶ from the exponent of the numerator 10⁻⁴ to get: 10²
Step 4: Combine the results:
This gives:
0.9186667 * 10²
Step 5: Simplify the coefficient:
She rounded the coefficient (0.9186667) to two decimal places, resulting in 0.92.
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ZA and B are complementary angles. If mA = (6x + 22)° and m
ZB = (7x + 16)°, then find the measure of ZB.
sequence three missing terms to comple 7444> →→19-
To complete the sequence "7444> →→19-", we need to find the missing terms that fit the pattern established by the given numbers. Let's analyze the sequence and identify any discernible pattern or rule.
Looking at the sequence, we can observe that each number is decreasing by a certain value. In this case, the first number is 7444, and the second number is 19, indicating a decrease of 7425. Now, we need to continue this pattern.
To find the third missing term, we subtract 7425 from 19, resulting in -7406. Therefore, the third missing term is -7406
To find the fourth missing term, we subtract 7425 from -7406, resulting in -14831. Therefore, the fourth missing term is -14831.
To find the fifth missing term, we subtract 7425 from -14831, resulting in -22256. Therefore, the fifth missing term is -22256.
Therefore, the completed sequence is:
7444> →→19- → -7406 → -14831 → -22256
Each term in the sequence is obtained by subtracting 7425 from the previous term.
It's important to note that this solution assumes a linear pattern in which the same subtraction value is applied to each term. However, without additional context or information about the sequence, there could be alternative patterns or interpretations.
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Evaluate the following question for f(2) : f(x)=3x+2
Answer:
Step-by-step explanation:
3x+2=5 -2= 3
=3
The diagram shows a parallelogram. 4 cm 7 cm 100° Work out the area of the parallelogram. Give your answer to 2 significant figures.
The Area of the parallelogram is 27.57 cm² .
If the length of the parallelogram with sides a and b , and the angle between the sides a and b is θ , then
Area of Parallelogram = a × b × Sin(θ)
In the question ,
it is given that
the length of the parallelogram is 4cm and 7 cm , and the angle between is 100° .
By substituting the values in the formula for Area of parallelogram
we get ,
Area = 4 × 7 × Sin(100°)
= 4 × 7 × 0.9848 ....because Sin(100°) = 0.9848
= 27.57 cm²
Therefore , The Area of the parallelogram is 27.57 cm² .
The given question is incomplete , the complete question is
If the length of the sides of parallelogram is 4 cm and 7 cm and the angle between them is 100° , Work out the Area of the parallelogram ? Give your answer to 2 significant figures.
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scientific form of 47500000000
\(▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)
Scientific notation for above value is ~
\(4.75 \times 10 {}^{10} \)\(Hello\) \(There!\)
First, let's make sure our coefficient is between 1 and 10:
4.75
All numbers in scientific notation look like this:
___x10^- (some number)
4.75x10^
Now, the number is large, so the exponent is positive.
So we move the decimal place some number of units. We move the decimal place 10 units, so the exponent is 10:
4.75x10^10
Hope this helps!
~Just a felicitous girlie
#CarryOnLearning
\(SilentNature\)
Question 12 *
12. Marcus is building a scale model of a skyscraper using the ratio 2:225. If the width of
the skyscraper is 405 ft, what is the width of the model?
A. 25 ft
B. 3.6 ft
C. 9.0 ft
D. 11.3 ft
Answer:
the answer is 3.6 ft
Step-by-step explanation:
I didn't know how to do it so I looked it up