Answer:
She is
If each of the 6 containers is 1/3 full, the total containers filled = 6 x 1/3 = 2 containers
Unfilled containers = 6 - 2 = 4 containers
she has 4 containers
Step-by-step explanation:
g(x)=5-2x what is domain
Answer:
all real numbers
Step-by-step explanation:
The domain of any polynomial function is "all real numbers."
If the statement 4 > 3 is true, which of the following are true about the relationship between –4 and –3? Check all that apply. –4 < –3 The inequality changes from greater than to less than because -4 is less than -3. –4 > –3 The greater than inequality holds true even when the opposites of 4 and 3 are used. –4 = –3.
The statement which holds true between -4 and -3 is; -4 < –3 The inequality changes from greater than to less than because -4 is less than -3.
Number lineThe given inequality according to the task content is;
4 > 3.On this note, when a negative sign is attached to each side of the inequality; it follows that;
The inequality sign is reversed and the inequality takes the form; -4 < -3.Read more on inequalities;
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Answer:
A and B are the answers
Step-by-step explanation:
If 4 > 3 then - 4 < -3 is true because when additive opposites of numbers are used inequality gets reversed.
please explain how you got it also
a WHOLE is always simplified to "1", and we can use any denominator for that, so 5/5 is 1, and 7/7 = 1, and \(\cfrac{4}{4}\implies \cfrac{113}{113}\implies \cfrac{1000000}{1000000}\implies \text{\LARGE 1}whole\)
so hmmm for this case we'll be use thirds or namely the denominator of 3, so a whole bunch of basketballs was originally 3/3 of "b", "b" was the whole amount, so originally we had 3/3, but then during the day we sold 2/3 of them, so we were left with 3/3 - 2/3 = 1/3, and then 8 came back, because they were deflated or something, now the store has a total of 38 basketballs.
\(\stackrel{whole}{\cfrac{3}{3}b}~~ - ~~\stackrel{sold}{\cfrac{2}{3}b}\implies \cfrac{3b-2b}{3}\implies \cfrac{b}{3}\implies \stackrel{\textit{remaining in store}}{\cfrac{1}{3}b} \\\\\\ \stackrel{in~store}{\cfrac{1}{3}b}~~ + ~~\stackrel{coming~back}{8}~~ = ~~\stackrel{new~total}{38} \\\\\\ \cfrac{b}{3}+8=38\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{3}}{3\left( \cfrac{b}{3}+8 \right)=3(38)}\implies b+24=114\implies \stackrel{originally}{b=90}\)
Answer: b) James has a bicycle. Each wheel has a diameter of 35cm. James cycles his bicycle in a straight line in the playground. The front wheel makes 12 complete revolutions. How far does the bicycle travel? Give your answer in metres. Use π = 3.14, you must show your workings.
The bicycle travels a distance of 13.188 meters (to three decimal places).
What is the distance?
The distance traveled by the bicycle is equal to the distance traveled by one revolution of the front wheel multiplied by the number of revolutions.
The distance traveled by one revolution of the front wheel is equal to the circumference of the wheel, which is given by:
C = πd
where d is the diameter of the wheel. Therefore, the circumference of the front wheel is:
C = π × 35cm
C = 3.14 × 35cm
C = 109.9cm
Now we can calculate the distance traveled by the bicycle:
Distance = Number of revolutions × Distance traveled in one revolution
Distance = 12 × 109.9cm
Distance = 1318.8cm
Finally, we need to convert this distance to meters:
Distance = 1318.8cm ÷ 100
Distance = 13.188m
Therefore, the bicycle travels a distance of 13.188 meters (to three decimal places).
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Find the distance between the pair of points (2,-5) and (3,-7).
Answer:
2.24Step-by-step explanation:
\(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\(2,-5)\quad\implies\quad x_1=2\,,\ \ y_1=-5\\\\(3,-7)\quad\implies\quad x_2=3\,,\ \ y_2=-7\\\\d=\sqrt{(3-2)^2+(-7+5)^2}= \sqrt{1^2+(-2)^2}=\sqrt{1+4}=\sqrt5=2.236....\approx2.24\)
Ricardo transformed the quadratic parent
function f(x) to create g(x). After the
transformation, he noticed that the domain
and range were the same for f(x) and g(x).
Which of the following could NOT represent
g(x)?
A. g(x) = f(x + 5)
B. g(x) = f(x) + 5
C. g(x) - 5f(x)
D. g(x) = f(5x)
The slope of the line that passes through the point (2,4)and (3,8) is
Equation of the line:
y = 4x – 4
Slope: 4
Answer:
+4
Step-by-step explanation:
Slope is Rise over Run or the difference in the y values over the difference in the x values.
Rise = difference between 4 and 8 = 4
Run = difference between 2 and 3 = 1
So your slope is 4 and since the line slants upward from left to right, the slope is positive.
help fast ! i need the answer
The expression's result is -2 \(\sqrt[3]{89}\) when it is stated that a = 64 and b = -5. Scientific operation, expression, and numeral
what is expression ?Multiplying, split, adding, and withdrawing are all possible in mathematics. As an example, consider the following expression: Scientific operation, expression, and numeral The elements that make up a mathematical expression include numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) One can contrast two expressions or sentences. The terms "expression" or "algebraic expression" refer to any mathematical statement that has variables, numbers, and also an arithmetic procedure between them. For instance, the statement 4m + 5 consists of the terms 4m and 5, as well as the variable m from the given expression, all of which are divided by the arithmetic sign +.
given
a = 64
b = -5
= -2\(\sqrt[3]{a+b^{2} }\)
= -2 \(\sqrt[3]{89}\)
The expression's result is -2 \(\sqrt[3]{89}\) when it is stated that a = 64 and b = -5.
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The correct question is :- What is the value of this expression when a = 64 and b = -5 ?
-2\(\sqrt[3]{a+b^{2} }\)
Please help me! I will give brainliest if right
What is the area of the figure to the nearest tenth? Answer choices: A) 93.8 in² B) 107.2 in² C) 53.9 in² D) 23.5 in² Please help! I will mark brainliest
Answer:
D)
A=23.5 in^2
Step-by-step explanation:
d*\(\pi\)*m*/360
A=16*\(\pi\)*168/360
A=23.5 in^2
he graph of a function is shown.
5
4
3
2
-
y
--5-3-2-1₁ 1 2 3 4 5 x
-2-
-3+
7 9
Which function is represented by the graph?
O f(x) =
O
f(x) = {3
O f(x):
x-3, x<0
3,
x20
11
x + 3, x < 0
x 20
-x+ 3, x ≤ 0
3,
x>0
○ f(x) = { 3*
O
-x-3, x ≤0
x > 0
The function f(x) = {x + 3, x < 0, 3 x ≥ 0} represents the graph.
What is graph?
In mathematics, the set of ordered pairings where f(x)=y exists is the graph of a function f. These pairs are Cartesian coordinates of points in two-dimensional space and so form a subset of this plane in the typical situation when x and f(x) are real integers.
As show in the graph we can see that the function has a graph of x + 3 on left side of the y - axis for x < 0.
And the function has the constant graph y = 3 for x ≥ 0.
Therefore, the given graph is the graph of the function,
f(x) = {x + 3, x < 0, 3 x ≥ 0}.
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A and B are independent events. P(A)=0.80 and P(B)=0.10. what is P(A and B)?
a.0.90
b.0.008
c.0.08
d. 0
The value of P(A and B) = 0.08
What is probability?Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are going to happen, using it.
Given that, A and B are independent events. P(A)=0.80 and P(B)=0.1
Since the events are independent
so, the formula used to find P(A and B) is
P(A and B) = P(A) x P(B)
P(A)= 0.80
P(B) = 0.10
Finding P(A and B)
P(A and B) = P(A) * P(B)
P(A and B) =0.80 x 0.10
P(A and B) = 0.08
So, Option c is correct.
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points a (-2,5) and b (1,-8) are placed in two different quadrants of a cartesian coordinate system. convert each set of cartesian coordinates to polar coordinates. the angle should be reported as a positive angle, in degrees, from the positive x-axis. (0° < θ < 360°)
The polar coordinates for point A (-2, 5) are
\((r, \theta) = (\sqrt{2^2 + 5^2}, \tan^{-1}\left(\frac{5}{-2}\right)) \\\\\approx (5.39, 112.62^\circ).\)
The polar coordinates for point B (1, -8) are
\((r, \theta) = (\sqrt{1^2 + (-8)^2}, \tan^{-1}\left(\frac{-8}{1}\right)) \\\\\approx (8.06, -81.87^\circ).\)
To convert cartesian coordinates to polar coordinates, we need to determine the distance from the origin (r) and the angle (θ) the point makes with the positive x-axis.
For point A (-2, 5):
1. Calculate the distance from the origin using the distance formula:
\(r = \sqrt{(-2)^2 + 5^2} \\\\= \sqrt{4 + 25} \\\\= \sqrt{29} \\\\\approx 5.39.\)
2. Calculate the angle θ using the arctangent function:
\(\theta = \tan^{-1}\left(\frac{5}{-2}\right) \\\\\approx 112.62^\circ.\)
For point B (1, -8):
1. Calculate the distance from the origin:
\(r = \sqrt{1^2 + (-8)^2} \\\\= \sqrt{1 + 64} \\\\= \sqrt{65} \\\\\approx 8.06."\)
2. Calculate the angle θ:
\(\theta = \tan^{-1}\left(\frac{-8}{1}\right) \\\\\approx -81.87^\circ.\)
Since the point is in a different quadrant, we report the angle as negative. To convert it to a positive angle, we can add 360°:
\(-81.87^\circ + 360^\circ \approx 278.13^\circ.\)
Thus, the polar coordinates for point A are approximately (5.39, 112.62°) and for point B are approximately (8.06, 278.13°).
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Madeline earns $17,500 annually. What is the gross amount of hersemimonthly paycheck?a. $2,916.67b. $1,458.33c. $729.17d. $673.08
Given:
Annual earnings = $17,500
Asked: What is the gross amount of her semimonthly paycheck?
Solution:
To find the answer, we need to divide first the annual earnings by 12 to get the monthly paycheck. After that, we will divide it by 2 because we are looking for the semimonthly paycheck.
\(\begin{gathered} \frac{17,500}{12}=1,458.33 \\ \frac{1,458.33}{2}=729..17 \end{gathered}\)ANSWER: C. $729.17
PLS HELP me !!!! i will give you 20 points
Answer:
x = 22
Step-by-step explanation:
5x-5=6x-27
add 5 to 27 by moving it to the other side:
5x=6x-22
subtract 6x from 5x
-x = -22
divide by -1:
x = 22
CAMBRILEARN
-0-7
b=-11
CAMBRILEARN
•-6√301
CAMBRILEARN
Бу+8
866.150
21:22
A
CAMBRILEARN
1.316
236
11346
·cm
CAMBRILEARN
and
10. Determine the sizes of angles a, b and c in the diagram, with reasons.
Remember to give your answer in degrees.
a =
32°
850
(Reason)
b
NOT TO
SCALE
E
[3]
A road is 8/9 of a mile long. A crew needs to replace 4/5 of the road how long is the section that needs to be repaved
Answer:
4/45
Step-by-step explanation:
8 - 4
9 5
= 8 × 5 - 4 × 9
9 × 5 5 × 9
= 40 - 36
45 45
= 40 – 36
45
= 4
45
8/9 - 4/5
= 4/45
(11x - 1.8) - (15x + 6.6) = 11x - 1.8 - 15x + 6.6 = - 4x + 4.8
Answer:
Infinitely many solutions
True for all x values
Step-by-step explanation:
Solve for b. 2/3 b + 5 = 20 - b
Answer:
b = 9
Step-by-step explanation:
Step 1: Add b on both sides (Addition Equality)
5/3b + 5 = 20
Step 2: Subtract 5 on both sides (Subtraction Equality)
5/3b = 15
Step 3: Divide both sides by 5/3 (Division Equality)
b = 9
Isaac has a bag of n peanuts. He shares the peanuts with 5 of his friends. Each person gets at least 18 peanuts. Write an inequality to represent this situation. *
Answer:
Total number of peanuts =n
He shared with 5 people = 6 people
Each person had at least 18
n/6>=18
Step-by-step explanation:
When question like this is given , the English is very important. He shares with his friends is different from he shares among his friends. Then also, at least means greater than or equal to.
Answer:
18 ≤ n ÷ 6
Step-by-step explanation:
My text book says Isaac has a bag of n peanuts. He shares the peanuts with 5 of his friends. Each person gets at least 18 peanuts. The inequality 18 ≤ n ÷ 6 represents this situation. Graph the solution of this inequality
Need help on question 3
Answer:
3) circumference = 15.7 m
Area = 19.625 m²
Step-by-step explanation:
Area and circumference of circle:3) First find the diameter of the circle, using Pythagorean theorem.
We are using Pythagorean theorem to find the diameter as the given triangle is right angle triangle.
Hypotenuse² = base² + altitude²
= 3² + 4²
= 9 + 16
= 25
Hypotenuse = √25
d = 5 m
Circumference of circle = πd
= 3.14 * 5
= 15.7 m
r = 5 ÷2 = 2.5 m
Area of circle = πr²
= 3.14 * 2.5 *2.5
= 19.625 m²
A charge of −3.10nC is placed at the origin of an xy-coordinate system, and a charge of 1.90nC is placed on the y axis at y=4.50 cm. If a third charge, of 5.00nC, is now placed at the point x=2.65 cm,y=4.50 cm find the x and y components of the total force exerted on this charge by the other two charges. Enter your answers in newtons separated by a comma. Part B Find the magnitude of this force. Express your answer in newtons. Find the direction of this force. Express your answer in degrees.
The x and y components of the force are -3.10 x 10⁻⁵ N and 2.82 x 10⁻⁵ N, respectively.
The magnitude of the force is 3.96 x 10⁻⁵ N, and the direction of the force is -41.6 degrees.
Now, we can use Coulomb's law, which tells us that the force between two charges is given by:
F = k (q₁ q₂) / r²
where F is the force, k is Coulomb's constant (9.0 x 10⁹ N*m²/C²), q₁ and q₂ are the charges, and r is the distance between the two charges.
For the first charge at the origin and the third charge at (2.65 cm, 4.50 cm), the distance between them is:
r₁ = √((2.65 cm)² + (4.50 cm)²) = 5.23 cm
The direction of the force is along the line connecting the two charges and can be found using trigonometry:
θ₁ = tan⁻¹ (4.50 cm / 2.65 cm) = 59.0 degrees
The force exerted on the third charge by the first charge is then:
F₁ = (9.0 x 10⁹ Nm²/C²) (-3.10 nC) × (5.00 nC) / (5.23 cm)²
= -6.19 x 10⁻⁵ N
To find the x and y components of this force, we can use:
Fx1 = F₁ * cos(theta1) = -3.10 x 10⁻⁵ N
Fy1 = F₁ * sin(theta1) = -4.99 x 10⁻⁵ N
For the second charge on the y-axis and the third charge at (2.65 cm, 4.50 cm), the distance between them is:
r₂ = sqrt((2.65 cm)² + (4.50 cm - 4.50 cm)²) = 2.65 cm
The direction of the force is along the y-axis, so there is no x component. The y component of the force is:
Fy₂ = (9.0 x 10⁹ Nm²/C²) (1.90 nC) × (5.00 nC) / (2.65 cm)²
= 7.81 x 10⁻⁵ N
The total force on the third charge is the sum of the forces from the first and second charges:
Fx = Fx₁ + 0 = -3.10 x 10⁻⁵ N
Fy = Fy₁ + Fy₂ = 2.82 x 10⁻⁵ N
The magnitude of the force is:
F = √(Fx² + Fy²) = 3.96 x 10⁻⁵ N
The direction of the force is:
theta = tan⁻¹(Fy / Fx) = -41.6 degrees
(measured counterclockwise from the positive x-axis)
Therefore, the x and y components of the force are -3.10 x 10⁻⁵ N and 2.82 x 10⁻⁵ N, respectively.
The magnitude of the force is 3.96 x 10⁻⁵ N, and the direction of the force is -41.6 degrees.
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Please help don’t understand radical
Simplified
\(x\sqrt[3]{x}\)
how to find the leading coefficient of a polynomial?
A polynomial is represented as \(\mathbf{ax^n + bx^{n-1} + cx^{n-2} + .... + d}\)
The leading coefficient of the polynomial is "a"
The leading coefficient of a polynomial is simply the coefficient of the variable with the highest power.
Take for instance:
\(\mathbf{2x^3 + 4x^2 + 5x - 6}\)
In the above polynomial,
The highest power is 3The variable is xThe coefficient of x is 2, when the highest power is 3This means that, the leading coefficient is 2
Another instance:
\(\mathbf{-6y^5 + 2y^4 + 19y^3 - y^2 -17y + 1}\)
In the above polynomial,
The highest power is 5The variable is yThe coefficient of y is -6, when the highest power is 5This means that, the leading coefficient is -6
In general,
The leading coefficient of the polynomial \(\mathbf{ax^n + bx^{n-1} + cx^{n-2} + .... + d}\) is "a"
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There were 15 gallons of water in the tank. 2/3 of the water was pored out, how many gallons were pored out?
Answer:
10 gallons were poured out
Step-by-step explanation:
2/3's of the 15 gallons of water is 10 gallons. Therefore 10 gallons were poured out.
Mara put down 7.5% on the purchase of her new
home. If she put down $14,175 find the purchase
price of her home.
Answer: $189 000
brainliest or a thank you please :))
goodluck!
Answer:
$189,000
Step-by-step explanation:
,Correct me if I'm wrong :D
Tell whether the value is a solution of the inequality 5 − x < 8; x = −3
Answer:
The value is not a solution of the inequality.
Step-by-step explanation:
5 - x < 8
1. Substitute the variable, x, with -3: 5 - - 3 < 8
2. Use the KCC (keep,change,change) method to turn subtraction into addition: 5 + + 3 < 8
3. Add the numbers on left side of the inequality to get the answer: 8 < 8 - False statement - 8 is not less than 8.
The doll was considered a "feminine" toy. Do these data provide convincing evidence that the mean percentage of the time spent playing with the doll is greater for female monkeys than for male monkeys?
Answer:
yes it does because men comes before women
Plz Help! Giving out brainiest!
1/4:10 = x:4
f a 15 ipy f1 individual is crossed to a 24 ipy individual, what is the probability of observing a 21 ipy individual? upload a picture of your work with the answer clearly marked.
The probability of observing a 21 IPY individual (IPYipy) is 0.625 or 62.5%.
Given that a 15 IPY F1 individual (heterozygous: IPYipy) is crossed to a 24 IPY individual (homozygous dominant: IPYIPY), we can use a Punnett square to determine the probability of observing a 21 IPY individual (heterozygous: IPYIPY).
The Punnett square for this is attached in the image at the end:
In this case, there are four possible offspring genotypes that include the "IPY" allele: IPYIPY, IPYipy, iPYIPY, and iPYipy. These four genotypes produce the phenotype of red eyes (IPYIPY, IPYipy, and iPYIPY) or partial red eyes (iPYipy). The probability of observing a 21 IPY individual (IPYipy) is the sum of the probabilities of these four genotypes.
For each box in the Punnett square, write the genotype and calculate the probability of that genotype using the product rule of probability (i.e., multiply the probability of the parent's alleles to get the probability of the offspring's genotype).
Add up the probabilities of all the boxes that produce the "IPYipy" genotype.
We can do this as follows:
IPYIPY: The probability of the 15 IPY F1 individual passing an IPY allele is 1/2, and the probability of the 24 IPY individual passing an IPY allele is 1. Therefore, the probability of the offspring having an IPYIPY genotype is (1/2) x 1 = 1/2.IPYipy: The probability of the 15 IPY F1 individual passing an IPY allele is 1/2, and the probability of the 24 IPY individual passing an ipy allele is 0. Therefore, the probability of the offspring having an IPYipy genotype is (1/2) x 0 = 0.iPYIPY: The probability of the 15 IPY F1 individual passing an ipy allele is 1/2, and the probability of the 24 IPY individual passing an IPY allele is 1. Therefore, the probability of the offspring having an iPYIPY genotype is (1/2) x 1 = 1/2.iPYipy: The probability of the 15 IPY F1 individual passing an ipy allele is 1/2, and the probability of the 24 IPY individual passing an ipy allele is 0.5. Therefore, the probability of the offspring having an iPYipy genotype is (1/2) x 0.5 = 1/4.To obtain the probability of observing a 21 IPY individual, we add up the probabilities of the first three genotypes: 1/2 + 0 + 1/2 + 1/4 = 1.25/2 = 0.625.
∴, the probability of observing a 21 IPY individual (IPYipy) is 0.625 or 62.5%.
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