Answer:
C.y=-3x-3
Step-by-step explanation:
The expression "-280" + 18 represents a submarine that began at a depth of feet below sea level and ascended at a rate of 18 feet per minute. What was the depth of the submarine after 5 minutes?
The supplement of an acute angle is an obtuse angle. True or false?
Vertical angles are always supplementary. True or False?
Answer:
yes, it is true because a supplimentary angle is 180 degrees and if their is an acute angle then it is less than 90 degrees which means you subtract that by 180 and you get a number over 90 and an obtuse angle is over 90 which means the other side of the acute angle is obtuse. And the suppliment to an acute angle is always over 90 degrees
Hope it helps!
can I get brainliest?
When Joseph first starts working at a grocery store, his hourly rate is $10dollar sign, 10. For each year he works at the grocery store, his hourly rate increases by $0.50dollar sign, 0, point, 50.
Joseph's hourly rate R, in dollars, is a function of t, the number of years he works at the grocery store.
Write the function's formula.
Answer:
R(t)=10+0.50t
Step-by-step explanation:
Let t be the number of years.
We have been given that When Joseph first starts working at a grocery store, his hourly rate is $10.
For each year he works at the grocery store, his hourly rate increases by $0.50.
So the hourly rates after t years will be 10 plus 0.50t.We can represent this information in an equation as: R(t)=10+0.50t
Therefore, the function R(t)=10+0.50t represents Joseph's hourly rates after t years.
(Hope this helps pls can I have brainlist have a great day )
Given a line segment that contains the points A,B, & C in order, if AB = x + 12, and BC = 2x - 4, and AC = 26, find x.
Answer:
x = 6
Step-by-step explanation:
If A, B and C lies on a straight line in order, then;
AB+BC = AC
x+12+2x-4 = 26
x+2x+12-4 =26
3x+8 = 26
3x = 26-8
3x = 18
x = 18/3
x = 6
Hence the value of x is 6
Allan needs 3 quarts of water to fill a pot for soup.How many times of he need to fill an 8-ounce measuring cup to fill the pot
Answer:
12 times
Step-by-step explanation:
1 quart = 32 ounces
3 quart = x
x = 3 × 32 ounces
x = 96 ounces
The number of times of he need to fill an 8-ounce measuring cup to fill the pot is calculated as:
= 96 ounces/8 ounces measuring cup
= 12 times
Therefore, Alan needs to fill an 8 ounce measuring cup 12 times in order to fill the pot of soup.
Write this ratio as a fraction in lowest terms. 40 minutes to 70 minutes 40 minutes to 70 minutes is (Simplify your answer. Type a fraction.)
The ratio 40 minutes to 70 minutes can be written as 4/7 in lowest terms.
To understand how we arrived at the fraction 4/7, let's break down the process of simplifying the given ratio.
Step 1: Write the ratio as a fraction
The ratio 40 minutes to 70 minutes can be expressed as a fraction: 40/70.
Step 2: Find the greatest common divisor (GCD)
To simplify the fraction, we need to determine the GCD of the numerator (40) and the denominator (70). The GCD is the largest number that evenly divides both numbers. In this case, the GCD of 40 and 70 is 10.
Step 3: Divide by the GCD
We divide both the numerator and denominator of the fraction by the GCD (10). Dividing 40 by 10 gives us 4, and dividing 70 by 10 gives us 7.
Therefore, the simplified fraction is 4/7, which represents the ratio of 40 minutes to 70 minutes in its lowest terms.
Simplifying fractions is a fundamental concept in mathematics that involves reducing fractions to their simplest form. By dividing both the numerator and denominator by their GCD, we eliminate any common factors and obtain a fraction that cannot be further simplified.
This process allows us to express ratios and proportions in their most concise and understandable form.
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Hidden Clue
Pls help due tomorrow in first period
HELPPPPPPP PPPPPLLLLLSSSSS
Using mensuration, we can get the values as:
A) 7.5
B) -14/5
C) -21.9/2
D) -23/20
E)-9.3/2
F) 32/5
G) -9.53
H) 72.2
I) -11/2
J) 9.38
K) -5.9/2
L) 7.14
M) -0.58
N) 4.72
Mensuration can be defined as a measurement action. Our world is three dimensional. Both elementary school mathematics and secondary school mathematics heavily rely on the idea of measurement.
Also, measuring is directly related to our daily life. When we learn to measure items, we practise measuring both 2D and 3D shapes. Both conventional and nonconventional units of measurement can be used to determine the size of objects or quantities.
Here in the question, using normal multiplication, division. addition and subtraction we can get the following results:
A) 7.5
B) -14/5
C) -21.9/2
D) -23/20
E)-9.3/2
F) 32/5
G) -9.53
H) 72.2
I) -11/2
J) 9.38
K) -5.9/2
L) 7.14
M) -0.58
N) 4.72
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Can someone help with this section? Please ASAP
The values of the trigonometric functions are
7. \(sin\theta = \frac{12}{13}\)
\(cos\theta = \frac{5}{13}\)
\(tan\theta = \frac{12}{5}\)
\(csc\theta =\frac{13}{12}\)
\(sec\theta =\frac{13}{5}\)
\(cot\theta =\frac{5}{12}\)
8. \(sin\theta = \frac{\sqrt{7} }{4}\)
\(cos\theta = \frac{12}{16}\)
\(tan\theta =\frac{\sqrt{7} }{3}\)
\(csc\theta = \frac{4}{\sqrt{7} } \ OR \ \frac{4\sqrt{7}}{7}\)
\(sec\theta =\frac{16}{12}\)
\(cot\theta = \frac{3}{\sqrt{7}} \ OR \ \frac{3\sqrt{7}}{7}\)
Trigonometric functionsFrom the question, we are to determine the values of the given trigonometric functions
7.
In the given triangle,
Opposite = 12
Adjacent = 5
Hypotenuse = ?
Hyp² = Opp² + Adj² (Pythagorean theorem)
∴ Hyp² = 12² + 5²
Hyp² = 144 + 25
Hyp² = 169
Hyp =√169
Hyp = 13
Using SOH CAH TOA
\(sin\theta = \frac{12}{13}\)
\(cos\theta = \frac{5}{13}\)
\(tan\theta = \frac{12}{5}\)
\(csc\theta =\frac{1}{sin\theta} =\frac{13}{12}\)
\(sec\theta =\frac{1}{cos\theta} =\frac{13}{5}\)
\(cot\theta =\frac{1}{tan\theta} =\frac{5}{12}\)
8.
Hypotenuse = 16
Adjacent = 12
Opposite = ?
Hyp² = Opp² + Adj² (Pythagorean theorem)
Opp² = Hyp² - Adj²
∴ Opp² = 16² - 12²
Opp² = 256 - 144
Opp² = 112
Opp =√112
Opp = 4√7
Using SOH CAH TOA
\(sin\theta = \frac{4\sqrt{7} }{16} = \frac{\sqrt{7} }{4}\)
\(cos\theta = \frac{12}{16}\)
\(tan\theta = \frac{4\sqrt{7} }{12}= \frac{\sqrt{7} }{3}\)
\(csc\theta =\frac{1}{sin\theta} =\frac{16}{4\sqrt{7} } = \frac{4}{\sqrt{7} } \ OR \ \frac{4\sqrt{7}}{7}\)
\(sec\theta =\frac{1}{cos\theta} =\frac{16}{12}\)
\(cot\theta =\frac{1}{tan\theta} =\frac{12}{4\sqrt{7}} = \frac{3}{\sqrt{7}} \ OR \ \frac{3\sqrt{7}}{7}\)
Hence, the values of the trigonometric functions are
7. \(sin\theta = \frac{12}{13}\)
\(cos\theta = \frac{5}{13}\)
\(tan\theta = \frac{12}{5}\)
\(csc\theta =\frac{13}{12}\)
\(sec\theta =\frac{13}{5}\)
\(cot\theta =\frac{5}{12}\)
8. \(sin\theta = \frac{\sqrt{7} }{4}\)
\(cos\theta = \frac{12}{16}\)
\(tan\theta =\frac{\sqrt{7} }{3}\)
\(csc\theta = \frac{4}{\sqrt{7} } \ OR \ \frac{4\sqrt{7}}{7}\)
\(sec\theta =\frac{16}{12}\)
\(cot\theta = \frac{3}{\sqrt{7}} \ OR \ \frac{3\sqrt{7}}{7}\)
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determine the probability that the first child of clara and charles will be a boy with both albinism and hemophilia.
The probability that the first child of Clara and Charles will be a boy with both albinism and hemophilia is 0%, since neither Clara nor Charles have either of these recessive genetic conditions.
The probability that the first child of Clara and Charles will be a boy with both albinism and hemophilia is 0%. Albinism and hemophilia are both recessive genetic conditions, meaning that both parents must have the recessive gene in order for a child to be born with either condition. Since neither Clara nor Charles have either condition, the probability that their first child will be a boy with both albinism and hemophilia is 0%.
The probability that the first child of Clara and Charles will be a boy with both albinism and hemophilia is 0%, since neither Clara nor Charles have either of these recessive genetic conditions.
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.help me with the question of math
No link
Answer:
I doubt it is not going to be a great
Step-by-step explanation:
the same time as a child support of the year old girl I don't know what you think about it is not going to
For every time the large rear wheel of the pictured tractor rotates, the smaller front wheel rotates 2.5 times.
If the radius of the front tire measures 1.6 feet, what is the radius of the rear tire?
A. 3.2 feet
B. 3.6 feet
C. 4 feet
D.4.4 feet
Answer:d
Step-by-step explanation:
Answer:
Step-by-step explanation:
i need help so i am coming to yall for some help
x - 1/3 = 6
Give your answer as an improper fraction.
Answer:
19/3 (6 1/3)
Step-by-step explanation:
The perimeter of a rectangular ink pad is 28 centimetres. The area is 40 square centimetres. What are the dimensions of the ink pad
The area of the rectangle in terms of b is 11b - b², and the perimeter is always 22, regardless of the value of b.
What is rectangle?A rectangle is a four-sided flat shape with opposite sides that are equal in length and parallel to each other. It has four right angles (90-degree angles) at each corner. The two sides that are parallel to each other are called the length, and the other two sides are called the width.
The area of a rectangle is found by multiplying its length and width, and its perimeter is the sum of the lengths of all four sides. Rectangles are common in everyday life and can be found in many different contexts, such as books, doors, windows, and electronic screens.
According to given information,
Let's assume that the length of the rectangle is 'l' and the width is 'b'.
The area of a rectangle is given by the formula A = lb, where A is the area, l is the length, and b is the width.
The perimeter of a rectangle is given by the formula P = 2(l + b), where P is the perimeter, l is the length, and b is the width.
So, the area of the rectangle is:
A = lb = 28
And the perimeter of the rectangle is:
P = 2(l + b) = 40
P = (l+b) = 20
l= 20 -b
Now, we can substitute l = 20 - b into these formulas:
A = (20 - b)b
P = 2(20 - b + b)
Simplifying, we get:
A = 40b - b²
P= 40
So, the area of the rectangle in terms of b is 11b - b², and the perimeter is always 22, regardless of the value of b.
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The length of the rectangle is 10 cm and breadth of the rectangle is 4 cm.
What is rectangle?
A rectangle is a type of quadrilateral, whose opposite sides are equal and parallel. It is a four-sided polygon that has four angles, equal to 90 degrees. A rectangle is a two-dimensional shape.
The longer parallel sides are called length(l) and two shorter sides are called breadth(b).
Perimeter of a rectangle is 2(l+b).
Area of rectangle is l*b.
2(l+b)=28
L+b=28/2=14
L=14-b .....eq(1)
L*b=40
(14-b)b=40
14b-b^2=40
b^2-14b+40=0
b^2-10b-4b+40=0
b(b-10)-4(b-10)=0
(b-10)(b-4)=0
Either b=10 or b=4
If b=10 then l =4 but length can't be shorter than the breadth so b=4cm and l=10 cm is the answer.
Julia just lit a new candle and then let it burn all the way down to nothing. The candle burned at a rate of 0.75 inches per hour and its initial length was 9 inches. Write an equation for
L
,
L, in terms of
t
,
t, representing the length of the candle remaining unburned, in inches,
t
t hours after the candle was lit.
The required equation for the length of the candle is L = 9-0.75t.
Given that a 9-inch candle burns at the rate of 0.75 in per hour we need to determine the equation for the length L of the candle when it burns for t hours,
So, if the candle is burning at the rate of 0.75 in per hour so after burning for t hour the length decreases by 0.75t, from the original length i.e 9 in
So, we can write the equation as =
L = 9-0.75t
Hence the required equation for the length of the candle is L = 9-0.75t.
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let f(x, y) be a function such that • the limit of f(x, y) as x → 0 along the path y = x is 0. • the limit of f(x, y) as x → 0 along the path y = x 2 is 0.
The function f(x, y) satisfies the conditions that its limit approaches zero as x approaches zero along two different paths: y = x and y = x^2. This implies that as x approaches zero, the function f(x, y) must approach zero regardless of whether y varies linearly or quadratically with x.
The given conditions state that the limit of f(x, y) as x approaches zero along the path y = x is zero. This means that as x gets arbitrarily close to zero, the function f(x, y) approaches zero when y varies linearly with x. Similarly, the second condition states that the limit of f(x, y) as x approaches zero along the path y = x^2 is also zero. This implies that when y varies quadratically with x, the function f(x, y) still approaches zero as x approaches zero. Therefore, the function f(x, y) must satisfy both conditions by converging to zero as x approaches zero along both paths.
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Find the indefinite integral by making a change of variables. (use c for the constant of integration.) x x 6 dx
Answer:
Step-by-step explanation:
To find the indefinite integral ∫(x^6) dx by making a change of variables, we can let u = x^7. Then, we can express dx in terms of du using differentiation.
Differentiating both sides of the equation u = x^7 with respect to x, we get:
du/dx = 7x^6
dx = du / 7x^6
Substituting dx in terms of du in the integral, we have:
∫(x^6) dx = ∫(x^6) (du / 7x^6)
Simplifying the expression, the x^6 terms cancel out:
∫(x^6) dx = ∫(1 / 7) du
Now we can integrate with respect to u:
∫(1 / 7) du = (1/7) ∫ du
The indefinite integral of du is simply u, so we have:
(1/7) ∫ du = (1/7) u + c
Finally, substituting u back in terms of x, we get:
(1/7) u + c = (1/7) (x^7) + c
Therefore, the indefinite integral of x^6 dx, with the change of variables, is (1/7) (x^7) + c, where c represents the constant of integration.
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Simplify
(2m^3n^2)^5
\( \large \bf \implies{32 {m}^{15} {n}^{10} }\)
Step-by-step explanation:\(\bf \longrightarrow{(2m^{3}n^{2})^{5} } \\ \\ \bf \longrightarrow {2}^{5} \times ( {m}^{3})^{5} \times ( {n}^{2})^{5} \\ \\ \bf \longrightarrow32( {m}^{3})^{5}( {n}^{2})^{5} \\ \\ \bf \longrightarrow32 {m}^{15} {n}^{10} \)
Note : We have used the two exponent rules:
\((1) \: \: \large \bf \boxed{ \bf \green{(ab)^{n} = {a}^{n} \times {b}^{n} }}\)
\((2) \: \: \large \bf \boxed{ \bf \green{(a^{n})^{m} = {a}^{nm} }}\)
An animal rescue agent wanted to estimate the true proportion of all animals in shelters that are adopted each month. To do so, she selects a random sample of 100 animals that were in shelters last month and determines that the 95% confidence interval for the true proportion of animals adopted each month is between 0.12 and 0.24. Which of the following would decrease the margin of error?
The option that would decrease the margin of error is B. increasing the sample size.
What is the margin of error?The margin of error is a statistic that expresses the amount of random sampling error in survey results. The greater the margin of error, the less confident one should be that a poll result will accurately reflect the results of a population census.
Because the sample size is in the denominator of the margin of error calculation, increasing the sample size reduces the margin of error. Furthermore, by expressing a value in a range, the margin of error assists researchers in determining its accuracy.
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Complete question
An animal rescue agent wanted to estimate the true proportion of all animals in shelters that are adopted each month. To do so, she selects a random sample of 100 animals that were in shelters last month and determines that the 95% confidence interval for the true proportion of animals adopted each month is between 0.12 and 0.24. Which of the following would decrease the margin of error?
selecting another sample
increasing sample size
decreasing sample size
increasing confidence level
Select the expression equivalent to (2.1x + 4.3) - (-3x - 7)
A. -0.9x - 2.7
B. -0.9x + 11.3
C. 5.1.x - 2.7
D. 5.1 x + 11.3
Please actual answers
What is the volume of a sphere with a radius of 5 meters rounded to the nearest square meter
560 m³
0314 m³
340 m³
524 m³
\(\textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=5 \end{cases}\implies \begin{array}{llll} V=\cfrac{4\pi (5)^3}{3}\implies V=\cfrac{500\pi }{3} \\\\\\ V\approx 524~m^3 \end{array}\)
3(q−7)=27 need help plzz 1st peep gets brainlest
━━━━━━━☆☆━━━━━━━
▹ Answer
q = 16
▹ Step-by-Step Explanation
3(q - 7) = 27
3q - 21 = 27
Add 21 to both sides:
21 + 21 = na
27 + 21 = 48
3q = 48
Divide both sides by 3:
3/3 = q
48/3 = 16
q = 16
Hope this helps!
CloutAnswers ❁
━━━━━━━☆☆━━━━━━━
Answer:
q=16
Step-by-step explanation:
3q-21=27
27+21=48
48/3=16
help me pleaseeeeeee
Step-by-step explanation:
Similar triangles
\( \frac{6}{uv } = \frac{8}{3} \)
uv=18/8
uv= 2.25
EFG is similar to JKL and JKL is similar to QRS which statement is true
Answer: B EFG is similar to QRS.
Step-by-step explanation: Not hard, JKL is similar to QRS and EFG is similar to JKL so?
What is the volume of a sphere with a radius of 2.5 units?
Answer: A sphere (from Greek σφαῖρα—sphaira, "globe, ball") is a geometrical object that is a three-dimensional analog to a two-dimensional circle. A sphere is the set of points that are all at the same distance r from a given point in three-dimensional space. That given point is the center of the sphere, and r is the sphere's radius. The earliest known mentions of spheres appear in the work of the ancient Greek mathematicians.
Step-by-step explanation: The formula used to calculate the sphere radius is: r = ∛((3/4) · V / π) Symbols. r = Sphere radius; V = Sphere volume; π = Pi = 3.14159… The volume of Sphere. Enter the volume contained within a sphere. The radius of Sphere. This is the radius of a sphere that corresponds to the specified volume.
Is the equation y + 1 = 5(x + 3) in point-slope form? Justify your answer.
Answer:
The given equation is in point-slope form. The slope is 5 and is seen on the right side before the parentheses. The point is (-3, -1).
Hope this helps! :)
Answer:
Yes
Step-by-step explanation:
The equation y + 1 = 5(x + 3) is in point slope form. Point slope form is y - y1 = m(x - x1). In the given equation the point would be (-3, -1) with a slope of 5.
Select the correct answer. emily wants to find the number that appears in the middle of a set of 25 numbers arranged in ascending order, in a spreadsheet. which statistical function will help her do so? a. mode b. rank c. median d. average
The correct answer is option (C) median.
The median will help Emily to find the number that appears in the middle of the 25 numbers that are arranged in ascending order.
What is the mean, median and mode?The mean, median, and mode are the three most commonly used measures of central tendency for populations that do not have much data, that is, they do not need to be grouped.
The mean, also known as average, is the value obtained by dividing the sum of a cluster of numbers by the number of them.
When arranging the numbers from least to largest, the median sits exactly in the middle of the values that are above. The median is a set that is a value that is in the middle of the other values.
The number that appears most frequently in a set of numbers is called the mode.
So, The median will help Emily to find the number that appears in the middle of the 25 numbers that are arranged in ascending order.
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The produce manager for a large retail food chain is interested in estimating the percentage of apples that arrive on a shipment with bruises. A random sample of 100 apples showed 12 with bruises. Based on this information, what is the margin of error for a 99 percent confidence interval estimate?
The margin of error for a 99% confidence interval estimate is approximately 0.0838 or 8.38%.
To calculate the margin of error for a 99% confidence interval estimate, we can use the formula:
Margin of Error = Z * sqrt(p_hat * (1 - p_hat) / n)
Where:
Z is the z-value corresponding to the desired confidence level (99% confidence level corresponds to a z-value of approximately 2.576).
p_hat is the sample proportion (percentage of apples with bruises), which is calculated as the number of apples with bruises divided by the total sample size.
n is the sample size.
Given:
Sample size (n) = 100
Number of apples with bruises = 12
Calculating the sample proportion:
p_hat = 12 / 100 = 0.12
Using the z-value for a 99% confidence level (z = 2.576), we can calculate the margin of error:
Margin of Error = 2.576 * sqrt(0.12 * (1 - 0.12) / 100)
Calculating the margin of error:
Margin of Error = 2.576 * sqrt(0.12 * 0.88 / 100)
Margin of Error = 2.576 * sqrt(0.1056 / 100)
Margin of Error = 2.576 * sqrt(0.001056)
Margin of Error ≈ 2.576 * 0.0325
Margin of Error ≈ 0.0838
Therefore, the margin of error for a 99% confidence interval estimate is approximately 0.0838 or 8.38%.
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Indicate below weather the equation in the box is true or false
Answer:
False
Step-by-step explanation:
4/8 equals to 1/2 but 6/10 equals to 3/5. Correct would be if it was 5/10
Henry and Leslie deposit $500.00 into a savings account which earns 7% interest
compounded annually. They want to use the money in the account to go on a trip in 3 years.
How much will they be able to spend?
Use the formula A = P1 +
= P(1 + =)", where A is the balance (final amount), P is the principal
(starting amount), r is the interest rate expressed as a decimal, n is the number of times per
year that the interest is compounded, and t is the time in years.
Round your answer to the nearest cent.
They will be able to spend $612.52 on their trip.
What is simple interest?
The interest on a loan or principal amount can be easily calculated using simple interest. Simple interest is a notion that is employed across a wide range of industries, including banking, finance, automobiles, and more.
Using the formula \(A = P(1 + r/n)^{(nt)\), where:
P = $500.00 (the principal)
r = 7% = 0.07 (the annual interest rate)
n = 1 (compounded annually)
t = 3 years
\(A = 500(1 + 0.07/1)^{(1*3)\)
\(A = 500(1.07)^3\)
A = 500(1.225043)
A = $612.52
Therefore, they will be able to spend $612.52 on their trip.
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b) Name the triangle based on its angles.
Answer: A triangle can either be... an
Acute-angled triangle.
Obtuse-angled triangle.
Right-angled triangle.
Step-by-step explanation: Here is an image of each type of triangle based on its angles.