Answer:
Step-by-step explanation:
To find the volume of this solid, multiply the base area by the height:
V = (25 cm²)(4 cm) = 100 cm³
The required volume of the solid will be 100 cm³ in the given figure.
What is the volume of a Solid?The volume of a solid is the amount of space occupied by an object. It is determined by the number of unit cubes required to completely fill the solid.
The solid is given has the base area and the height provide the following:
The base area of the solid = 25 cm²
The height of the solid = 4 cm
As per the given figure, the required solution would be as:
To find the volume of the given solid, multiply the base area by the height:
The volume of the solid = The base area x The height
The volume of the solid = (25 cm²) x (4 cm)
Apply the multiplication operation, and we get
The volume of the solid = 100 cm³
Therefore, the required volume of the solid will be 100 cm³ in the given figure.
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A car moving on a road with velocity 30 m/ ,
when brake are applied it velocity decreae at a rate
of 6 meter per econd. Find the ditance it will cover before coming to ret
the distance it will cover before coming to rest is 75m. Solved using the concept of velocity.
What is velocity?Simply said, velocity is the rate of movement in a certain direction. such as the speed of a car driving north on a highway or the pace at which a rocket takes off.
Due to the fact that it includes both magnitude and direction, velocity is a vector quantity. Since acceleration is only the rate at which velocity changes, acceleration is likewise a vector quantity.
Given that,
initial velocity (u) = 30 m/s
acceleration (a) = - 6 m/s²
As we know,
v² = u² + 2as
or, 0 = (30)² + 2 × (-6) × s
or, s = 75 m
Hence, the distance it will cover before coming to rest is 75m
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Nathan had 58 pieces of gum that he wants to make last six days how much can he chew each day so that the gum last him six days between what two whole numbers does your answer lie
Natha can chew between 9 to 10 chewing gum each day so that it could last for 6 days.
What is a unitary method?A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.
Given, Nathan had 58 pieces of gum that he wants to make last six days.
Therefore, The number of chewing gums he can chew is the total number of chewing gums he has divided by the total number of days which is,
= (58/6).
= 9.66 chewing gums but it should be a whole number.
So, Nathan can chew between 9 to 10 chewing gums each day.
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1.) Select all shapes that are quadrilaterals. A D C С B H E G F
Abby works in the sales department. This month the company is offering a 3-week paid vacation to every employee who sells 230% of the amount sold last month. If Abby sold $480 products last month, how much does she need to sell this month to earn the vacation
well, what's 230% of $480?
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{230\% of 480}}{\left( \cfrac{230}{100} \right)480}\implies \text{\LARGE 1104}[/tex]
Slope = -7; (4, -30) step by step
Answer:
the equation of the line is y = -7x - 2.
Step-by-step explanation:
To find the equation of the line with slope -7 that passes through the point (4, -30), we can use the point-slope form of a line.
The point-slope form of a line is:
y - y1 = m(x - x1)
where:
(x1, y1) is a point on the line
m is the slope of the line
Substituting the given values, we get:
y - (-30) = (-7)(x - 4)
Expanding the right side, we get:
y + 30 = -7x + 28
Combining like terms, we get:
y = -7x - 2
So the equation of the line is y = -7x - 2.
PLEASE HELP!!! I WILL MARK BRAINLEST. please help me guys
What is the discriminant of the quadratic equation 3x^2+8x+4=0
Given P(A) = 0.32, P(B) = 0.2 and P(AU B) = 0.366, find the value of
P(An B), rounding to the nearest thousandth, if necessary.
By using formula, P(A n B) = 0.346. Rounded to the nearest thousandth, P(A n B) = 0.346
What is probability?Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event. In between 0 and 1, the closer the probability is to 1, the more likely the event is to occur. The probability of an event is usually represented by the letter P, followed by the event in parentheses.
What is rounding off?Rounding off is a mathematical operation that is used to reduce the number of digits in a number while maintaining its value within a certain degree of accuracy. When we round off a number, we look at the digit that is immediately to the right of the last digit that we want to keep. If the number is less than 5, we keep the last digit as it is, but if the number is greater than or equal to 5, we add 1 to the last digit.
We can use the formula of conditional probability to find the value of P(A n B).
P(A n B) = P(A U B) - P(A) - P(B) + P(An B)
We know that:
P(A U B) = P(A) + P(B) - P(A n B)
So we can substitute this in the first equation:
P(A n B) = P(A U B) - P(A) - P(B) + P(An B)
P(An B) = P(A U B) - P(A) - P(B) + P(An B)
Now we can substitute the given values:
P(An B) = 0.366 - 0.32 - 0.2 + P(An B)
P(An B) = 0.346 + P(An B)
To find P(An B) we can subtract 0.346 from both sides of the equation:
P(An B) = P(An B) - 0.346
P(An B) = P(An B) - 0.346
So, P(An B) = 0.346
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Write the simplified expression: 2x + 3(x - 2) - 3(x -6)
Answer:
2x+12
Step-by-step explanation:
2x+3(x−2)−3(x−6)
Distribute:
=2x+(3)(x)+(3)(−2)+(−3)(x)+(−3)(−6)
=2x+3x+−6+−3x+18
Combine Like Terms:
=2x+3x+−6+−3x+18
=(2x+3x+−3x)+(−6+18)
=2x+12
Answer:
=2x+12
Answer:
2x + 12
Step-by-step explanation:
distribute numbers inside parentheses
2x + 3x -6 -3x + 18
add x values together and integers together
2x + 3x -3x = 2x
-6 + 18 = 10
simplified to 2x + 12
What is the perimeter of kite KLMN? StartRoot 2 EndRoot + StartRoot 5 EndRoot units StartRoot 14 EndRoot units 2 StartRoot 2 EndRoot + 2 StartRoot 5 EndRoot units 4 StartRoot 5 EndRoot units
HELP PLEEEEAASEEE
Answer:
C. 2 StartRoot 2 EndRoot + 2 StartRoot 5 EndRoot units
Step-by-step explanation:
Answer:
The Answer is C.
Step-by-step explanation:
2 StartRoot 2 EndRoot + 2 StartRoot 5 EndRoot units
The weights of 2-pound bags of Best Dog Food are approximately normally distributed with a given mean ul and
standard deviation o. According to the Empirical Rule, what percentage of the bags will have weights within 3 standard deviations of the mean?
Answer: 99.7%
Step-by-step explanation:
Edg 2020
A quadrilateral has vertices (-5,1) (-2,5) (2,2) (-1,-2). Determine if it is a square by using the distance formula to calculate the length of the diagonals, and the slope formula to determine if the diagonals are perpendicular
Length of diagonals are :
[tex]D_1 = \sqrt{ (-5-(-1))^2 + (1-(-2))^2 }\\\\D_1 = 5\ units[/tex]
[tex]D_2 = \sqrt{(-2 -2 )^2 + (5-2)^2}\\\\D_2 = 5 \ units[/tex]
Now, Slope of both the diagonal is :
[tex]m_1 =\dfrac{1-(-2)}{-5-(-1)} \\\\m_1 = -\dfrac{3}{4}\\\\m_2 = \dfrac{5-2}{-2-2}\\\\m_2 = -\dfrac{3}{4}[/tex]
Now, product of slopes are :
[tex]m_1 \times m_2 = \dfrac{-3}{4} \times \dfrac{-3}{4}\\\\m_1 \times m_2 = \dfrac{9}{16}[/tex]
Since, the product of slope is not equal to -1 . It means that the slopes are not perpendicular.
Therefore, this quadrilateral is not square.
If θ is an angle in standard position and its terminal side passes through the point (-3,4), find the exact value of tanθ in simplest radical form.
Answer:
so x = 20 , y = -21 , which is in quad IV
r^2= 400+441 = 841
r = √841 = 29
then cos Ø = 20/29
sec Ø = 29/20 = 1.45
Step-by-step explanation:
please give brainliest
What is a mark up in math?
Using traditional methods it takes 8.5 hours to receive a basic flying license. A new license training method using Computer Aided Instruction (CAI) has been proposed. A researcher used the technique on 21 students and observed that they had a mean of 8.8 hours with a variance of 1.21. Is there evidence at the 0.05 level that the technique performs differently than the traditional method? Assume the population distribution is approximately normal. Step 1 of 5 : State the null and alternative hypotheses
There is not enough evidence at the 0.05 level that the technique performs differently than the traditional method.
What are the hypothesis tested?At the null hypothesis, it is tested if there is no evidence of different performance, that is, the mean is of 8.5 hours, hence:
[tex]H_0: \mu = 8.5[/tex]
At the alternative hypothesis, it is tested if there is evidence of different performance, with a mean different of 8.5 hours, hence:
[tex]H_1: \mu \neq 8.5[/tex]
We have a two-tailed test, as we are testing if the mean is different of a value, with a significance level of 0.05, hence the critical value is of:
|z| = 1.96.
(p-value of 1 - (0.05/2)).
Hence the decision rule is given as follows:
|z| < 1.96 -> do not reject the null hypothesis -> not enough evidence.|z| > 1.96 -> reject the null hypothesis -> enough evidence.What is the test statistic?The population standard deviation is known, hence the z-distribution is used to obtain the test statistic.
The equation is given as follows:
[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which:
[tex]\overline{x}[/tex] is the sample mean.[tex]\mu[/tex] is the value tested at the null hypothesis.[tex]\sigma[/tex] is the standard deviation of the population.n is the sample size.The parameters for this problem are given as follows:
[tex]\overline{x} = 8.8, \mu = 8.5, \sigma = \sqrt{1.21} = 1.1, n = 21[/tex]
Hence the test statistic is of:
[tex]z = \frac{8.8 - 8.5}{\frac{1.1}{\sqrt{21}}[/tex]
z = 1.24.
|z| < 1.96, hence there is not enough evidence at the 0.05 level that the technique performs differently than the traditional method.
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There are 3 boys for every 5 girls in a kindergarten class. How many total students are there if there are 6 boys?
Answer:
16 students
Step-by-step explanation:
It is a 3 to 5 ratio, so if there are six boys, there are 10 girls. Six plus ten is 16 students.
7. A stock is worth $21. Its value is increasing at a rate of $0. 25 per week a.
Write an equation for the value y (in dollars) of the stock after x weeks.
b. If this trend would continue, what would be the value of the stock after 20 weeks?
The Equation for the value y is a. y = 21 + 0.25x (where x represents the number of weeks)
b. The value of the stock after 20 weeks would be 21 + (0.25 * 20) = $26.
This equation represents the linear relationship between the value of the stock (y) and the number of weeks (x). The value of the stock is initially $21, and it increases by $0.25 every week. This is represented by the coefficient of x (0.25) in the equation. By plugging in x=20 into the equation, we can find that after 20 weeks, the value of the stock would be $26. This is assuming that the rate of increase remains constant over time.
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How do you find the mean and standard deviation of a simple random sample?
The steps of finding mean and standard deviation of a simple random sample are given below.
What is standard deviation and mean?
The standard deviation is a statistic that expresses how much variation or dispersion there is in a set of values. While a high standard deviation suggests that the values are dispersed over a wider range, a low standard deviation suggests that the values tend to be close to the set mean.
There are various mean types in mathematics, particularly in statistics. Each mean serves to summarize a specific set of data, frequently to help determine the overall significance of a specific data set.
The steps of finding mean and standard deviation of a simple random sample are:
Divide the population standard deviation (σX) by the square root of the sample size (n) to get the standard deviation of the sample mean (σX): = σ/n.
How to determine sample means
Add up the examples' components. You must first count the number of sample items in each data set and then add up all of the sample items. ...
Sum divided by the quantity of samples.
The outcome is the mean.
To determine the variance, use the mean.
To determine the standard deviation, use the variance.
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which number is a composite
11, 5 , 9, or 2
(i need an answer asap
Answer:
2
Step-by-step explanation:
In an inverse variation, y = 3 when x = 8. Write an inverse variation equation that shows
the relationship between x and y.
Write the equation using a decimal or an integer.
How do I find this?
Answer:
y = 24/xStep-by-step explanation:
An inverse variation equation is:
y = k/xWe have y = 3 when x = 8, find the coefficient k:
3 = k/8k = 3*8k = 24The equation is:
y = 24/xWhat is the relationship between multiplying and factoring?
You multiply numbers or expressions to produce a
[Select]
numbers or [Select]
produce it.
✓. You factor a product into the
✓that were multiplied to
Polynomial factoring is the opposite of polynomial multiplication. A polynomial's leftover will be 0 if it is divided by its factors after factoring.
What do "multiply" and "factor" mean?A multiple is a number that is the result of multiplying the provided number by other numbers, as opposed to a factor, which divides the given number perfectly without leaving a remainder.
What connection exists between the factor theorem and the division of polynomials?When a polynomial f(x) is divided by (x - c), and (x - c) is a factor of the polynomial f(x), the remainder of the division is simply equal to 0. Therefore, if the remainder of a division like the ones mentioned above equals zero.
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whats the answer for this question i need help
The answer for it is r = -4 :))
what is the slope and y-intercept for y=1/2+4x
Answer:
- 1/4 slope
y-intercept: 2
pls mark me brainless if im right.
Plz help
In 1 week, Kim jogged 5.6 miles. She increased the distance she jogged each week by 3/4 mile. At the end of 5 weeks, how many total miles had Kim jogged?
A. 21.0 miles
B. 29.9 miles
C. 35.5 miles
D. 39.3 miles
Answer: the answer is 19.6
Step-by-step explanation:
just add up by each number, for example 5.6+3 miles is 8.6 miles so just keep adding up the miles to get this answer
pls help with this its due today
Using PEMDAS to solve the algebraic expression, the value is 2
What is Mathematical OperationMathematical operations are operations that involve the manipulation of numbers, variables, and/or equations. Examples of mathematical operations include addition, subtraction, multiplication, division, exponentiation, and root extraction.
In this problem, we can use PEMDAS to solve this algebraic expression.
[(3/5 + 0.425 - 0.005) ÷ 0.1] / [30.5 + 1/6 + 3 (1/3)] + [6(3/4) + 5(1/2)] / 26 ÷ 3(5/7)] - 0.05
This will become;
[10.2 / 34] + [12.25 / 7] - 0.05
Dividing and adding the numbers will give us;
(0.3 + 1.75) - 0.05 = 2
The value is 2
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You have a cup with 17 coins inside. The total inside the cup is $5. 50. Determine how many half dollars and quarters are inside the cup. Use a system of equations. Be sure to define the variables and show all work
There are 8 half dollars and 9 quarters inside the cup.
We can set up a system of equations to represent the number of half dollars (h) and quarters (q) in the cup and the total value of the coins.
Let h be the number of half dollars and q be the number of quarters.
The first equation represents the total number of coins in the cup:
h + q = 17The second equation represents the total value of the coins:
0.5h + 0.25q = 5.50To solve for h and q, we can use either the substitution or elimination method.
By substitution, we can solve for one variable in terms of the other in one of the equations and substitute it into the other equation.
So, q = 17 - h
then substitute it into the second equation:
0.5h + 0.25(17 - h) = 5.50
By solving for h, we get h = 8, then we can substitute it back into the first equation to get q = 9
So, there are 8 half dollars and 9 quarters inside the cup.
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i need help fr fr like my mind honestly went blank
Answer:
894 mi²
Step-by-step explanation:
the area of parallelogram= base x height= 24mi x 37.25mi = 894 mi²
Wyatt is joining the Shorewood Sharks swim team. He has been taking swimming lessons for several years at the community pool. The community pool is shaped like a rectangular prism and holds 480,000 liters, or 480 cubic meters, of water. It is 12 meters wide and 2 meters deep. The Shorewood Sharks practice in the pool at Shorewood High School. The high school's pool is also shaped like a rectangular prism. It is 15 meters wide, 2.5 meters deep, and holds 937,500 liters, or 937.5 cubic meters, of water. How much longer is the high school's pool than the community pool? Write your answer as a whole number or decimal. Do not round.
Answer:
11.25 m
Step-by-step explanation:
Since the volume of a rectangular prism, V = lwh where l = length, w = width and h = depth,
So, l = V/wh
Now, for the length of the community pool, its volume, V = 480 m³, h = 2 m and w = 12 m
So, l = V/wh
= 480 m³/(12 m × 2 m)
= 480 m³/24 m²
= 20 m
Also, for the length, l' of the Shorewood High School pool, its volume, V' = 937.5 m³, its depth, h' = 2.5 m and its width, w' = 15 m
So, l' = V'/w'h'
= 937.5 m³/(15 m × 2 m)
= 937.5 m³/30 m²
= 31.25 m
So, the difference in length of the pools is l' - l = 31.25 m - 20 m = 11.25 m
So, the high school's pool is 11.25 m longer than the community pool.
How do you make a truth table?
If we want to create a truth table , for say expression (P ∨ Q)∧(~P⇒Q) , then we will create different columns having the column head as , P , Q , ~P , P ∨ Q,~P⇒Q and (P ∨ Q)∧(~P⇒Q) and then perform the logical operation on them.
Truth table is a medium used to perform logical operations on expressions. These operations consists of Boolean algebra or Boolean functions expressions.
On performing these logical operation we get to know whether the propositional expression is correct or incorrect, based on the input values. This entire process is based on Boolean algebra and the table is made up of rows and columns for one or more input values.
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Tyrese works each day and earns more money per hour the longer he works. Write a function to represent a starting pay of $20 with an increase each hour by 3%. Determine the range of the amount Tyrese makes each hour if he can only work a total of 8 hours.
The range of the amount Tyrese makes each hour if he can only work a total of 8 hours is 20 ≤ x ≤ 24.80
What is a range?The range is the space between the highest and lowest numbers.
Given: Tyrese works every day and gets paid more per hour the more time he puts in. Create a function to represent a starting wage of $20 that rises by 3% each hour.
To find: Establish the range of Tyrese's hourly pay if he can only work a total of 8 hours.
The beginning wage is $20.
Suppose x hours are in a day.
A $20 salary is offered, with a 3% hourly raise.
e.g., increment = (3/100)*20*x = (3/5)x
A function's maximum possible earnings are
y = 20 + (3/5)x
He is only allowed to work a total of 8 hours, per our instructions.
Therefore, the most money she can make in 8 hours is
y = 20 + (3/5)*8
y = 20 + 4.8
y = 24*8
$20 is the first sum.
As a result, if Tyrese can only work a total of 8 hours every day, the range of his hourly wage is .
Therefore, the correct answer is option B) 20 ≤ x ≤ 24.80.
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