How many whole numbers leave a remainder of 2 when divided into 56, and a remainder of 1 when divided into 28? a.) 0 b.) 2 c.) 3 d.) 4?
56 would have a remainder of 2 using multiples of 3
56/3 = 18 remainder 2
56/6 = 9 remainder 2
56/9 = 6 remainder 2
56/18 = 3 remainder 2
56/27 = 2 remainder 2
Now divide 28 by the above numbers to see which ones have 1 as a remainder:
28/3 = 9 remainder 1
28/6 = 4 remainder 4
28/9 = 3 remainder 1
28/18 = 1 remainder 10
28/27 = 1 remainder 1
There are 3 numbers that will work.
Answer: c. 3
plot the coordinates a {1,2} b {4,5} c {4 -3} and d {1 -1}. if the points are connected what polygon is formed
Answer:
the answer is derf its between 5and6 so its 1 2 3 4 5 derf 6
:D
Step-by-step explanation:
What is the value of 6/x+2x,when x=3
Answer:
8
Step-by-step explanation:
6/3 + 2 x 3
6/3 + 6
2 + 6=8
Answer:
\(2/3\)
Step-by-step explanation:
\(\frac{6}{3x}\)
\(\frac{6}{3(3)}\)
\(\frac{6}{9} =\frac{2}{3}\)
Watch help video The hypotenuse of a right triangle measures 20 cm and one of its legs measures 11 em. Find the measure of the other leg. If necessary, round to the nearest tenth oo Answer
We use pythagoras theorem
\(\text{hypothenus}^2=opposite^2+adjacent^2\)Let y represent the other leg
\(\begin{gathered} 20^2=11^2+y^2 \\ 400=121+y^2 \\ y^2=400-121 \\ y^2=279 \\ y=\sqrt[]{279} \\ y=3\sqrt[]{31}\text{ cm} \\ y=16.70\text{ cm} \\ \end{gathered}\)The measure of the other leg is 16.70 cm
59/8, 7.872, 7.87, 7 1/3 from least to greatest
if you take away 25 from a number you will be left with two and halftimes 30. what is the number?
An investor has an account with stock from two different companies. Last year, his stock in Company A was worth $2220 and his stock in Company B was worth $3100. The stock in Company A has increased 25% since last year and the stock in Company B has increased 7%. What was the total percentage increase in the investor's stock account? Round your answer to the nearest tenth (if necessary).
The total percentage increase in the investor's stock account is 14.5%.
What is the percentage?The percentage refers to the portion or ratio of a variable concerning another.
Like ratios, percentages are stated with the percentage sign (%). We also use percentages to show proportions.
For instance, the percentage increase in the investor's stock account is derived below to show how much the growth in value is compared to the original investments.
Whereas the dollar increase is $772, in percentage terms, it is 14.5%.
Data and Calculations:Company A Company B Total
Investments $2,220 $3,100 $5,320
Increase in value 25% 7%
Dollar increase $555 $217 $772
Total percentage increase = 14.51 % ($772/$5,320 x 100)
Thus, the total percentage increase in the investor's stock account is 14.5%.
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measured 7 inches by nine inches what is the area of the rectangle
Answer:
The area is 126 inches
Step-by-step explanation: Rectangles have 2 parallel sides, meaning they are the same. 7 times 9 = 63, since a rectangle have 2 pairs of parallel sides I did 7 times 9 once again, then added 63 plus 63 = 126
A museum has a model of an Egyptian pyramid. It has a rectangular base that is 10 feet by 8 feet, with a height of 12 feet.
What is the volume of the pyramid?
Answer: 320ft^3
Step-by-step explanation:
Assuming the pyramid is just a normal rectangular pyramid and isn't made of stairs...
10x8x12/3 = 320 ft^3
the answer is actually 81
Answer:
okay i'll keep this in mind
Step-by-step explanation:
Find the mean birth weight of these 29 babies
Answer:
The mean is 6.14
Step-by-step explanation:
Given
See attachment
Required
The mean
Mean is calculated as:
\(\bar x = \frac{\sum fx}{\sum f}\)
So, we have:
\(\bar x = \frac{5 * 4 + 10 * 6 + 14 * 7}{29}\)
\(\bar x = \frac{178}{29}\)
\(\bar x = 6.14\)
Which exponential function is represented by the
graph?
O f(x) = 2()
O f(x) = }(2)
O f(x) = (31
O f(x) = 2(2)
Answer:
The answer is option b
Step-by-step explanation:
if you have a graphing calculator you can put in all four options & figure out which one matches. xD
The correct equation is f(x) = 1/2(2)ˣ.
Option 2.
What is exponential function?Exponential function, involves exponents an exponential function has a constant as its base and a variable as its exponent but not the other way round (if a function has a variable as the base and a constant as the exponent then it is a power function but not an exponential function).
Given is a graph of an exponential function, we need to find the function,
So, the standard equation for the exponential function is =
y = abˣ
Considering two points, (1, 1) and (0, 0.5).
0.5 = ab⁰
a = 1/2
So,
y = 0.5bˣ
1 = 0.5b¹
b = 2
So, the equation can be written as,
y = 1/2(2)ˣ
Hence the correct equation is f(x) = 1/2(2)ˣ.
Option 2.
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What is the measure of each interior angle of the regular polygon pictured below? If necessary, round to the nearest tenth.
\(\underset{in~degrees}{\textit{sum of all interior angles}}\\\\ n\theta = 180(n-2) ~~ \begin{cases} n=\stackrel{number~of}{sides}\\ \theta = \stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ n=5 \end{cases}\implies 5\theta =180(5-2) \\\\\\ 5\theta =180(3)\implies 5\theta =540\implies \theta =\cfrac{540}{5}\implies \theta =108\)
Using the quote, "Those of us on the margins wonder if our stories matter" what is the significance of the quoted text?
The significance of the quoted text is to illustrate the less privileged in an overwhelmingly crowded and disordered chronological reality.
What is a quote?Quote means to cite something as a form of proof. It has several other senses as a verb and a noun. It should be noted that to quote something or someone is to repeat the exact words they said or to recite the exact words written in a book.
Great speakers often quote other inspiring people when making speeches. When you quote, you include the words and ideas of others in your text exactly as they have expressed them.
You signal this inclusion by placing quotation marks (“ ”) around the source author's words and providing an in-text citation after the quotation.
In this case, the significance of the quoted text is to illustrate the less privileged in an overwhelmingly crowded and disordered chronological reality. A quotation is the repetition of a sentence, phrase, or passage from speech or text that someone has said or written.
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the sum of 2 cubed and 3 squared is 14?
TRUE? or
False?
Answer:
false, 2^3= 8 3^2=9 8+9=17
Step-by-step explanation:
sin theta =20 degrees opposite=45 find hyp
By trigonometric functions, the length of the hypotenuse is approximately equal to 131.571.
How to calculate the hypotenuse of a right triangle by trigonometric functions
In this problem we find the measure of an angle and its opposite side from a right triangle, whose representation is shown in the image attached below.
Trigonometric functions are transcendent expression that relates an angle of the right triangle with two sides of the same. We can find the measure of the hypotenuse by the definition of the sine function:
sin θ = h / r
Where:
θ - Angle of the right triangle.h - Length of the side opposite to the angle.r - Length of the hypotenuse.If we know that h = 45 and θ = 20°, then the length of the hypotenuse is:
r = h / sin θ
r = 45 / sin 20°
r ≈ 131.571
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A charity is raising money by selling two thousand raffle tickets for $2 each. There is one grand prize worth $500, three secondary prizes worth $200 each, and eight third level prizes worth $20 each. What is the expected value of a $2 ticket? Answer is negative $1.358 but how do you calculate that?
The expected value of a $2 ticket is $0.63
How to determine the expected value of a $2 ticketTo calculate the expected value of a $2 ticket, we need to multiply the probability of winning by the value of the prize, then sum those products:
The Probability of winning the grand prize = 1/2000
Product: (1/2000) x $500 = $0.25
The Probability of winning a secondary prize: 3/2000
Product: (3/2000) x $200 = $0.30
The Probability of winning a third level prize: 8/2000
Product: (8/2000) x $20 = $0.08
The sum of the products:
$0.25 + $0.30 + $0.08 = $0.63
So the expected value of a $2 ticket is $0.63, meaning that on average, a person can expect to win $0.63 for every $2 they spend on a ticket.
The charity is expected to make a profit, which is why the answer is negative.
That is -$2 + $0.63 = -$1.37
So the expected profit for the charity per ticket sold is -$1.37, which is approximately the same as the given answer of negative $1.358(rounding off)
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Find two numbers a and b whose sum a + b is -9 and whose difference a - b is -1.
Answer:
a has two solutions for this case.
a₁: \(a=-9-b\)
a₂: \(a=-1+b\)
Step-by-step explanation:
A1\(a+b-b=-9-b\\a=-9-b\)
A2\(a-b+b=-1+b\\a=-1+b\)
➲ I hope this helps you.
pls help and explain how you got the answer
The class of the equation and the cross section equation are;
The equation is a hyperboloid of two sheets
The cross sections are;
Equation at z = 0 is; y²/8 - x²/8 = 1
Equation at y = -4 is; x²/8 + z² = 1
Equation at y = 0 is; x²/8 + z² = -1
Equation at y = 4 is; x²/8 + z² = 1
Equation at x = 0 is; y²/8 - z² = 1
What is an equation ?An equation is a mathematical statement which indicates the equivalence two expressions by joining them with the '=' sign.
The equation can be presented as follows;
y² = x² + 8·z² + 8
y² - x² - 8·z² = 8
y²/8 - x²/8 - z² = 1
The above equation is the equation of an hyperboloid of two sheets, where;
a² = 8, b² = 1, and c² = 8
Please find attached the diagram of the surface, created with an online 3D graphing tool.
The equation for the cross section at z = 0, can be obtained by plugging in z = 0, into the equation as follows;
y²/8 - x²/8 - 0 = 1
y²/8 - x²/8 = 1
The above equation is the equation of an hyperbola in the xy plane
The equation for the cross section at y = -4, can be obtained by plugging in y = -4, into the equation as follows;
4²/8 - x²/8 - z² = 1
- x²/8 - z² = 1 - 4²/8 = -1
- x²/8 - z² = -1
x²/8 + z² = 1
The above is an equation of an ellipse in the xz plane
The equation for the cross section at y = 0, can be obtained by plugging in y = 0, into the equation as follows;
0²/8 - x²/8 - z² = 1
- x²/8 - z² = 1
Therefore; x²/8 + z² = -1
The equation for the cross section at y = 4, can be obtained by plugging in y = 4, into the equation as follows;
4²/8 - x²/8 - z² = 1
- x²/8 - z² = 1 - 2 = -1
x²/8 + z² = 1
The above equation is the equation of an ellipse in the xz plane
The equation for the cross section at x = 0, can be obtained by plugging in x = 0, into the equation as follows;
y²/8 - 0²/8 - z² = 1
y²/8 - z² = 1
The equation is the equation of an hyperbola in the yz plane
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Given f z please help
Answer:
z = -11, z = -2
Step-by-step explanation:
Given that, (\(f(z)=\sqrt{z+27} -z\)) and (\(f(z)=7\)), set up an equation that puts the first value of (\(f(z)\)) equal to the other given value of the function.
\(f(z)=\sqrt{z+27}-z=7\)
Use inverse operations to solve,
\(\sqrt{z+27}-z=7\\\\\sqrt{z-27}=7+z\\\\z+27 = (7+z)^2\\\\z + 27 = 49+14z+z^2\\ -(27+z)\\\\0 = z^2+13z+22\)
Factor,
\(0=(z+11)(z+2)\)
Solve using the zero product property, the zero product property states that any number times zero equals zero;
\(z=-11,z=-2\)
Answer:
Then solve the rest using the quadratic formula
Graph the line with -intercept -5 and slope 1/3 .
Answer:
(assuming the y-intercept is -5) Check the graph below the explanation.
Step-by-step explanation:
1. The y-intercept of -5 means that the line intersects with the y-axis at (0,-5).
2. The slope 1/3 means that for every point, you rise up by 1 and run 3.
An athlete runs 3 mi in 24 min. Is the rate of this athlete greater than, less than, or equal to the rate of an athlete who runs 4 mi in 33 min?
The rate of the first athlete is greater than the rate of the second athlete.
To determine if the rate of the first athlete is greater than, less than, or equal to the rate of the second athlete, we need to compare their average speeds.
The average speed of an athlete is calculated by dividing the distance traveled by the time taken.
For the first athlete who runs 3 miles in 24 minutes, the average speed can be calculated as:
Speed1 = Distance1 / Time1 = 3 miles / 24 minutes = 1/8 miles per minute.
For the second athlete who runs 4 miles in 33 minutes, the average speed can be calculated as:
Speed2 = Distance2 / Time2 = 4 miles / 33 minutes.
To make a comparison, we need to convert both rates to a common unit. Let's convert both rates to miles per minute:
Speed2 =\((4 miles / 33 minutes) * (24 minutes / 24 minutes)\) = (96 miles / 792 minutes) ≈ 0.1212 miles per minute.
Comparing the two rates, we see that Speed1 (1/8 miles per minute) is greater than Speed2 (0.1212 miles per minute). The rate of the first athlete is greater than the rate of the second athlete.
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please help with all 3 questions
will give brainliest to whoever answers them all
Answer:
Question 1: 29
Question 2: 50
Question 3: AD≅BC
Step-by-step explanation:
question 1: Since it's a parallelogram opposite sides are equal.
4x+5=5x-1 add one to both sides
4x+6 =5x subtract 4x from both sides
6 = x
So AD is equal to 5(6) - 1 = 30-1 = 29=AD
Question 2: Since diagonals in a parallelogram bisect each other AE = EC
So...
5x+5 = 8x- 7 add 7 to both sides
5x+12 = 8x subtract 5x from both sides
12=3x divide both sides by 3
4=x
AC= 5(4) + 5 + 8(4) - 7
AC= 20 + 5 + 32 - 7
AC= 50
Question 3: Lines can only be congruent, represented by ≅, not equal which is represented by =. Values can be equal.
By using the elimination method you get the answer line AD ≅ line BC
Find the equation of the lines in point-slope form with the
following properties.
slope = -5 and passes through (4, -1).
Answer:
y +1 = -5(x -4)
Step-by-step explanation:
You want the point-slope equation of the line with slope -5 through point (4, -1).
Point-slope equationThe point-slope equation of a line has the form ...
y -k = m(x -h) . . . . . . . line with slope m through point (h, k)
ApplicationSubstituting m=-5 and (h, k) = (4, -1), the equation is ...
y -(-1) = -5(x -4) . . . . . . values substituted
y +1 = -5(x -4) . . . . . . . simplified a bit
A dairy farmer wants to mix 35% protein supplement in a standard 10% protein ration to make 1300 pounds of high grades 25% protein ration how many pounds of each should he use
Answer:
Therefore, you need 2600 pounds of 35% supplement and 1300 - 2600 = -1300 pounds of 10% ration.
Step-by-step explanation:
The unknown variable is x, which is the amount of 35% supplement needed. The other expressions are derived from the given information and the fact that the total amount of solution is 1300 pounds.
The equation from the fourth column is:
0.35x + 0.10(1300 - x) = 0.25(1300)
Solving for x, we get:
x = (0.25(1300) - 0.10(1300)) / (0.35 - 0.10) x = 650 / 0.25 x = 2600
Write a graph an inequality to match each situation: The fish weighed at least 16 pounds
what is the approximate diameter of a sphere with a volume 34 cm the third power?
Answer:
Diameter = 4cm________________Step-by-step explanation:
volume = 34cm³
volume = 4/3×π×radius³
34cm³ = 4/3 × 3.14 × radius³
34cm³ = 12.56/3 × radius³
radius³ = 34×3/12.56
radius³ = 8
radius = ³√8
radius = 2cm
diameter = 2×radius
= 2×2
= 4cm
________________FOLLOW ME PLEASE
Invent examples of data with
(a) SS(between) = 0 and SS(within) > 0
(b) SS(between) > 0 and SS(within) = 0
For each example, use three samples, each of size 5.
The sample of given data is Sample 1: 1, 2, 3, 4, 5 Sample 2: 6, 7, 8, 9, 10
b)Sample 1: 1, 2, 3, 4, 5 Sample 2: 6, 7, 8, 9, 10
(a) An example of data with SS(between) = 0 and SS(within) > 0 could be the following:
Sample 1: 1, 2, 3, 4, 5
Sample 2: 6, 7, 8, 9, 10
Sample 3: 11, 12, 13, 14, 15
In this example, the means of each sample are all different from each other, but the grand mean (8) is equal to the mean of each sample. Therefore, there is no variability between the means of the samples, resulting in SS(between) = 0. However, there is still variability within each sample, resulting in SS(within) > 0.
(b) An example of data with SS(between) > 0 and SS(within) = 0 could be the following:
Sample 1: 1, 2, 3, 4, 5
Sample 2: 6, 7, 8, 9, 10
Sample 3: 11, 12, 13, 14, 15
In this example, the means of each sample are all the same (8), but the values within each sample are all different from each other. Therefore, there is variability between the means of the samples, resulting in SS(between) > 0. However, there is no variability within each sample, resulting in SS(within) = 0.
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Find the slope-intercept equation of the line that has the given characteristics.
Slope 8 and y-intercept (0,9)
The slope-intercept equation of the line with a slope of 8 and a y-intercept of (0, 9) is y = 8x + 9.
To find the slope-intercept equation of a line, we use the form y = mx + b, where m represents the slope and b represents the y-intercept.
Given:
Slope (m) = 8
Y-intercept (0, 9)
We can substitute these values into the slope-intercept form:
y = mx + b
y = 8x + 9
Consequently, y = 8x + 9 represents the slope-intercept equation for the line with a slope of 8 and a y-intercept of (0, 9).
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Evaluate y=3x for x=2.
y=
Answer:
y=6
Step-by-step explanation:
y=3x x=2
y=3(2)
y=6
For the given expression, the value of y is 6.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ y = 3x
Now, For value of x = 2;
The value of y is,
⇒ y = 3x
Substitute x = 2;
⇒ y = 3 × 2
⇒ y = 6
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