Answer:
\(\frac{4}{15}\)
Step-by-step explanation:
remember when dividing with fractions, you are multiplying by the reciprocal.
this means
\(\frac{4}{5} \div3=\frac{4}{5}*\frac{1}{3}=\frac{4}{15}\)
Answer:
the answer is 0.26 it was originally 0.26666666666 which is repetition so I lowered it down to .26
Decide whether the equation describes a function.
y = - 4x-1
Does the equation describe a function?
Yes
Νο.
Answer:
\({ \tt{yes \: it \: describes \: a \: functional \: equation \: of \: a \: line}}\)
Give the equation of the circle centered at the origin and passing through the point (0, 6).
The equation of circle is x² + y² = 36.
We have,
Center= (0, 0)
Passing point = (0, 6)
We know the equation of circle is
(x-h)² + (y-k)² = r²
where (h, k) be the center and r be the radius.
Now, the radius of circle is
= √(6-0)² + (0-0)²
= √36
= 6 unit
So, the equation of circle
(x-0)² + (y-0)² = 6²
x² + y² = 36
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Akin's salary is 20% less than Shola's and Shola spent 45% of his salary on accommodation leaving him with #550. How much is Akin's salary?
Answer:
$800
Step-by-step explanation:
Let's say that Shola's salary is x dollars. This means that Akin's salary is 0.8x dollars, because his salary is 20% less than Shola's salary.
Since Shola spent 45% of his salary on accommodation, he had 0.55x dollars left, or $550. This means that we can write the equation 0.55x = 550.
To solve for x, we can divide both sides of the equation by 0.55 to get x = 1000. This means that Shola's salary is $1000, and since Akin's salary is 20% less than Shola's, his salary is 0.8 * 1000 = $800. Therefore, Akin's salary is $800.
You stand at zero on a number line and flip a coin. When the coin is heads, you move one unit to the right. When the coin is tails, you move one unit to the left. After each flip, you record your position on the number like. Let g represent your position after the nth flip.
a.Explain why g is a function
b. What does g(5)=3 represent
c. What is the probability that g(3)=0
By using the concept of number line, it can be calculated that
a) g is a function
b) g(5) = 3 means after 5 flips, the person is at '3' on the number line
c) Probability that g(3) = 0 is zero
What is a number line?
All the real numbers, integers, fractions can be pictorially represented with the help of a line. The line is known as number line.
a) Here, g represents the position after the nth flip
After n flips, a person stands at only one position on the number line, not more than one. So every point on the domain has unique image. So g is a function.
b) g(5) = 3 means after 5 flips, the person is at '3' on the number line
c) The person is initially standing at zero. To move to zero position, even number of flips have to be made. But 3 is not an even number. So probability that g(3) = 0 is zero
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If $5.00 were invested at 3% interest 600 years ago, how much would that investment be worth today?
Tisha and her academic team are working to go to state finals. They must have a certain number of points, T, to advance. They have had three local matches, a, c and d, and will attend a district match. District match points count for three times the number of points than local matches do. Choose the equation that would help Tisha find how many points they need to earn in the district match, b, to advance.
b equals T over 3 minus a minus c minus d
b equals T plus a plus c plus d all over 3
b equals T minus a minus c minus d all over 3
b = 3(T − a − b − d)
The points Tisha and her academic team would need to earn in the district match b to advance is;
Option C; b = (T - a - c - d)/3
We are given;Number of points required to go to the state finals = T points
Local matches are; a , c, d
District match; b
Now, district match points are three times the number of points for local matches. Thus district match points will now be 3bSince they require T points to qualify, if the number of points in each local match are a,b and c, with that of the district being b, then we can say that; a + c + d + 3b = TTo find the number of points they need to obtain in the district match, we will just make b the subject of the formula;3b = T - a - c - d
b = (T - a - c - d)/3
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Answer:
b = (T - a - c - d)/3
Step-by-step explanation:
find the equation of a sphere if one of its diameters has endpoints: (-18, -17, 2) and (-2, -1, 18).
The equation of the sphere using the endpoints of the diameter is equal to x² + 20x + y² + 18y + z² - 20z + 269 =0.
Let us consider coordinates of the endpoints of the diameter of a sphere are :
( x₁ , y₁ , z₁ ) = (-18, -17, 2)
( x₂ , y₂ , z₂ ) = (-2, -1, 18)
Let 'd' , 'r' , 'c' represents the diameter , radius , and center of the sphere
d² = ( x₂ - x₁ )² + ( y₂ - y₁ )² + ( z₂ - z₁ )²
⇒ d² = ( -2 + 18 )² + ( -1 + 17 )² + ( 18 - 2 )²
⇒ d² = 256 + 256 + 256
⇒d² = 768
⇒ d = 4√3
Radius 'r' = d/2
= 4√3 /2
= 2√3
center coordinates of the sphere
= [ ( x₁ + x₂) /2 , ( x₁ + x₂) /2 , ( x₁ + x₂) /2]
= [ ( -2 - 18) /2 , (-1 -17 )/2 , ( 18 + 2 )/2 ]
= ( -10 , -9 , 10 )
Equation of the sphere is :
( x -(-10))² + ( y - (-9))² + ( z - 10 )² = r²
⇒( x+ 10 )² + ( y + 9)² + ( z- 10 )² = ( 2√3)²
⇒ x² + 20x + 100 + y² + 18y + 81 + z² - 20z + 100 = 12
⇒ x² + 20x + y² + 18y + z² - 20z +281 - 12 =0
⇒ x² + 20x + y² + 18y + z² - 20z + 269 =0
Therefore, the equation of the sphere with endpoints of the diameter (-18, -17, 2) and (-2, -1, 18) is given by :
x² + 20x + y² + 18y + z² - 20z + 269 =0
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Which notation describes this transformation?
OA. (r,y)=(s - 8,y - 8)
OB. (r,y)=(r= 4,y - 8)
O C. (r,y)=(-4,-y)
O D. (r',y) = (1, -y)
Answer: A. (r,y)=(s - 8,y - 8)
Step-by-step explanation: The notation that describes this transformation is A. This notation represents a translation of 8 units to the left and 8 units down. The notation (r,y) represents the original coordinates, while (s-8, y-8) represents the new coordinates after the transformation.
PLEASE ANSWER FAST! WILL GIVE BRAINLIEST
Answer:
B po
Step-by-step explanation:
Kase interquartile range po yan
Simplify the expression. -2.7f + 0.5f -15-9 = ?
Answer:
-2.2f-24
Step-by-step explanation:
Collect the like terms. -2.7f + 0.5f will be -2.2f and -15 - 9 would be -24 so theres your answer
What is the domain of the function graphed?
A) {x: x greater or equal to 4}
B) {x: x less than or equal to 2}
C) {x: x greater than or equal to 2}
D) All Real Numbers
Answer:
I think is c
Step-by-step explanation:
The heights of the girls in Leila’s class to the nearest 1/2 inch are: 56 1/2,57,56 1/2,58,58,57 1/2,57 1/2,57,58 1/2, and57.Leila makes a dot plot of data. How many different heights will be included on the number line
If Leila makes a dot plot of the heights of the girls in her class to the nearest ¹/₂ inch, the number of different heights that will include on the number line is 5.
What is a dot plot?A dot plot is a data visualization tool that consists of data points plotted as dots on a graph with an x- and y-axis.
The number of dots plotted on each number line shows the frequency of the data group.
Height Frequency Cumulative Frequency
56¹/₂ 2 2
57 2 4
57¹/₂ 2 6
58 2 8
58¹/₂ 1 9
Thus, arranging the heights according to groups, the different heights on the number line can be classified into 5.
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What is the value of x for the equation x2 = 36?
Answer:
X=18
Step-by-step explanation:
Answer:
x=18
Step-by-step explanation:
36/2 = 8
2x/2 = x
Convert 49 degrees to radians. Use 3.14 for \piπ. Round to the nearest hundredth.
transformation of the graph of f(x)=x^3 for the graph of g(x)=-x^3
The transformation was a reflection over the x-axis. This is because \(g(x)=-f(x)\).
What is the sign of -456 +456
Answer:
0
Step-by-step explanation:
-456 +456
( - , + ) = -
so answer is 0
Answer:
0
Step-by-step explanation:
bc i know
x-intercept of 3 and y-intercept of 8
How do you write a lunar equation given this information and how do you write the equation in slope form
Answer:
y = -8/3x + 8
Step-by-step explanation:
Step 1: Identify which values we have and need to find in the slope-intercept form:
The general equation of the slope-intercept form of a line is given by:
y = mx + b, where
(x, y) is any point,m is the slope,and b is the y-intercept.Since we're told that the y-intercept is 8, this is our b value in the slope-intercept form.
Step 2: Find m, the slope of the line:
Since the x-intercept is 3, the entire coordinates of the x-intercept are (3, 0)Thus, we can find m, the slope of the line by plugging in (3, 0) for (x, y) and 8 for b:
0 = m(3) + 8
0 = 3m + 8
-8 = 3m
-8/3 = m
Thus, the slope is -8/3.
Therefore, the the equation of the line in slope-intercept form whose x-intercept is 3 and whose y-intercept is 8 is y = -8/3x + 8.
Optional Step 3: Check the validity of the answer:
We know that the entire coordinates of the x-intercept are (3, 0) and the entire coordinates of the y-intercept are (0, 8).Thus, we can check that we've found the correct equation in slope-intercept form by plugging in (3, 0) and (0, 8) for (x, y), -8/3 for m, and 8 for b and seeing if we get the same answer on both sides of the equation when simplifying:
Plugging in (3, 0) for (x, y) along with -8/3 for m and 8 for b:
0 = -8/3(3) + 8
0 = -24/3 + 8
0 = -8 = 8
0 = 0
Plugging in (0, 8) for (x, y) along with -8/3 for m and 8 for b;
8 = -8/3(0) + 8
8 = 0 + 8
8 = 8
Thus, the equation we've found is correct as it contains the points (3, 0) and (0, 8), which are the x and y intercepts.
what us the slope of the equation y - 5= -3x
Answer:
The slope is -3
Step-by-step explanation:
y - 5 = -3x
Slope-intercept form is y=mx+b
m = slope
b = y-intercept
To convert to slope-intercept form, add 5 to both sides.
This eliminates the 5 on the left side of the equation and isolates the y.
y - 5 = -3x
+ 5 + 5
Slope-intercept form:
y = -3x + 5
The slope is -3
Answer:
Slope: -3
Step-by-step explanation:
This equation can be written in slope form by adding 5 to each side. The equation then becomes: y = -3x +5
In slope form, the slope will be the value that x is multiplied by. Therefore, the slope of this equation will be -3.
An alternative way to do this would be to test two x values, and find their y value. Then you could use the slope formula.
Slope = \(\frac{y_{2} - y_{1} }{x_{2} - x_{1}}\)
Two cities are approximately 350 miles apart on the surface of the earth. Assuming that the radius of the earth is 4,000 miles, find the radian measure of the central angle with its vertex at the center of the earth that has one city on one side and another one on the other side. a. 0.0775 radians b. 0.1025 radians c. 0.0875 radians d. 0.0825 radians e. 0.1075 radians ____ 6. Name the reference angle in both degrees and radians.
Answer:
\(\mathbf{\theta = 0.0875 \ radians}\)
Step-by-step explanation:
Given that:
The distance between city A and city B = 350 miles; &
The radius of the earth = 4000 miles
We all know that:
l = rθ
\(\theta = \dfrac{l}{r}\)
\(\theta = \dfrac{350}{4000}\)
\(\mathbf{\theta = 0.0875 \ radians}\)
From l = rθ; recall that l = a
so;
a = rθ
350 = 4000×θ
θ = 350/4000
θ = 35/400 degree
In radians;
θ = (35/400) × (π/180)
θ = (7π /800× 180) radians
Certain advertisers would like to estimate the proportion of viewers who spend the majority of their television time
watching alone. The consensus is that this percentage has been increasing over the years due to the increased
number of television sets in households.
a. Determine the sample size needed to construct a 90% confidence interval with a margin of error of no more than
6% to estimate the true proportion of viewers who watch television alone.
b. What impact would a pilot sample that showed that 44% of viewers spend the majority of their television time
watching alone have on your on results.
a. The sample size needed is
(Round up to the nearest integer.)
b. The new sample size needed would be 0
(Round up to the nearest integer.)
Answer:
Step-by-step explanation:
What is the meaning of "\( \varphi (x,y)\) be \( y\wedge \phi (x)\) "?
The reasoning presented lacks explicit explanations and logical connections between the steps, making it difficult to fully understand the intended proof strategy.
The given proof aims to show that the Separation Axioms can be derived from the Replacement Schema using a particular construction involving a formula p(x, y). Let's analyze the proof step by step:
Define the formula p(x, y) as x = yo(x).
This formula states that for each x, y pair, x is equal to the unique object y such that y is obtained by applying the operation o to x.
Define the set F as {(x, x) (x)}.
This set F contains pairs (x, x) where x is the unique object obtained by applying the operation (x) to x.
Claim: F(X) = {y (x = X)p(x, y)} = {y: (x = X)x = y^o(x)} = {x: (3x € X)o(x)} = {x X: (x)}.
This claim asserts that F(X) is equivalent to {y (x = X)p(x, y)}, which is further equivalent to {y: (x = X)x = y^o(x)}, and so on.
The proof states that since (x, y) satisfies the functional formula VaVyVz(p(x, y)^(x, z) y = z), it follows that (x, y) is a functional formula.This step emphasizes that the formula p(x, y) satisfies certain properties that make it a functional formula, which is relevant for the subsequent deductions.
Finally, the proof concludes that the Separation Axioms follow from the Replacement Schema, based on the previous steps.
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You tell a number of friends about an interesting video you saw online. Each of those
friends tell the same number of friends about it. This pattern continues, and there are
no repeats in the people told. The numbers of people who hear about this video
through you form a geometric sequence. There are 243 people in the fifth round and
2187 people in the seventh round.
Answer:
okay ummm NBA youngboy Kacey talk
Step-by-step explanation:
GIVING BRAILIEST PLEASEE!! Given an exponential function for compounding interest, A(t) = P(0.82)t, what is the rate of decay?
A. 18%
B. 8%
C. 0.82%
D. 82%
Answer:A
Step-by-step explanation:
To find the rate of decay, we need to use the formula A(t) = P(0.82)^t, where A(t) is the amount after t years, P is the initial amount, and 0.82 is the decay factor.
The decay factor is equal to 1 minus the decay rate, so we can solve for the decay rate as follows:
0.82 = 1 - r
r = 1 - 0.82
r = 0.18
Therefore, the rate of decay is 18%, which corresponds to answer choice A.
Answer:
A
Step-by-step explanation:
Evaluate.
3200 (0.045) (8)
Answer:
1152
Step-by-step explanation:
1.152× 10³
3200× 0.045× 8
(3200×0.045)× 8
144× 8
= 1152
Answer:
1152
Step-by-step explanation:
3200 multiplied by 8 equals 25600. When you multiply that by .045 you get 1152.
suppose three fourths of the students in a biology class are female. if there are 18 females, what is the total number students in the class
Answer:
24
Step-by-step explanation:
because three fourths = 18
there for 18÷3 =6
there for 6×4 = 24
1. Maya's ice cream machine makes 10 cups of ice cream from 0.5 cup of sugar. How many cups of ice cream can be made with 5 cups of sugar?
Answer:
100
Step-by-step explanation:
Since ten cups of ice cream is made from .5 cups of sugar, lets first find out how many cups of ice cream can be made form one cup of sugar
.5*2=1
10*2=20
Since the ratio of sugar to ice scream is .5/10 if you do anything to the top you need to do it to the bottom
so now you have 1/20
for every one cup of sugar there are 20 cups of icecream
now you need to multiply both top and bottom by five
1*5=5
20*5=100
5/100
You can make 100 cups of ice cream
*don't forget to label your answer with cups of ice cream*
100 cups of ice cream can be made with 5 cups of sugar.
What are comparing quantities?
Comparing quantities is the qualitative relation between two quantities which reflects the relative size of both the quantities.
It is given that,
10 cups of ice cream requires = 0.5 cup of sugar
⇒ 1 cup of sugar = 10/0.5 cups of ice cream
⇒ 1 cup of sugar = 20 cups of ice cream
Hence we see that Maya's ice cream machine makes 20 cups of ice cream from 1 cup of sugar.
Similarly, 5 cups of sugar = 5 x 20 cups of ice cream
⇒ 5 cups of sugar = 100 cups of ice cream
Therefore,100 cups of ice cream can be made with 5 cups of sugar.
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WILL GIVE BRAINLIEST + MAX POINTS!!!
Sara is working on a Geometry problem in her Algebra class. The problem requires Sara to use the two quadrilaterals below to answer a list of questions. Part A: For what one value of are the perimeters of the quadrilaterals the same? (Hint: The perimeter of a quadrilateral is the sum of its sides.) Part B: For what one value of are the areas of the quadrilaterals the same? (Hint: The area of a quadrilateral is the product of its base and height.) Please help me outtt!
HELLO
I NEEDED HELP WITH THE SAME QUESTION SO I PUT IT UP WITH A PIC SO U CAN ALSO GET AN ANSWER FROM THERE
HERE YA GO <3
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Answer:
heyy i did this problem a while ago and got kinda stuck on it
an object has a mass of 3 g and a volume of 4 ml, what is it's density?
Answer:
Step-by-step explanation:
Density is mass divided by volume
d = 3/4 = 0.75 g/mL
Step-by-step explanation:
density=mass/volume=3/4 g/ml
pls help me frens......
Answer:
V= 8
x=4.5
BCF =48 CFE=132
V=352.8 =8.4x8.4x5
For the volume one i cant read the number but if the bottom number is 8 then V=803.84
if its 6 then v = 452.16
Step-by-step explanation:
v= 2x2x2 v = 8
x is 11x-9=7x+9 | 4x=18 | x=4.5
15x=180 x=12 | CFE = 11x12=132 | BCF = 4x12=48
Find the slope of each line
Answer:
The slope of the line is 2/1
Step-by-step explanation:
starting at the y-intercept (0,2), to get to the next point you need to go 2 units up and 1 across. 2/1 would be your slope