The number of race times recorded as portrayed by the number of data points is seven(7).
What is the number of race times recorded for the dash?From the task content;
It follows that the distance ran be Mr. Rice students was 40 yards.Additionally, it follows from the task content that the times recorded were; 6.8,7.3,7.1 ,7.0,7.2,7.3 and 7.0.
On this note, the number of race times recorded as portrayed by the number of data points is seven(7).
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What term has the y, in the equation 3y + 4 = x
-12 will be the term for y
Let us suppose that x= 0
then we will get
3y + 4 = x
and then it will be
3y+ 4 = 0
Now, we will move 4 to the right hand side and it being positive this side will become negative on right hand side
3y= -4
now,
3y = 1/4
y = 1/[4*3]
y=1/12
y= - 12
Hence the answer will be y= -12
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How many times larger is 6.255 x 10^10 than 1.5 × 10^8?
4.17
24.0
240
417
we get that 6.255 × 10¹⁰ larger than 1.5 × 10⁸ by 417 times.
We are given two expressions:
6.255 × 10¹⁰ and 1.5 × 10⁸
We need to tell that how much times is 6.255 × 10¹⁰ larger than 1.5 × 10⁸.
We will do this with the help of division.
So, we get that:
= 6.255 × 10¹⁰ ÷ 1.5 × 10⁸
= 6.255 × 10¹⁰⁻⁸ ÷ 1.5
= 6.255 × 10² ÷ 1.5
= 625.5 ÷ 1.5
= 417
Therefore, we get that 6.255 × 10¹⁰ larger than 1.5 × 10⁸ by 417 times.
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The parabola X= √y-9 opens: right left down up?
The parabola x = √(y - 9) opens upwards.The given parabolic equation is x = √(y - 9). Let's identify the direction of opening of this parabola.The general form of the equation of a parabola is y = a(x - h)² + k.
Comparing this to the given equation, we can see that h = 0 and k = 9. The vertex is therefore (h, k) = (0, 9). Now, let's determine whether the parabola opens upwards or downwards.
If the coefficient of (x - h)² is positive, the parabola opens upwards, and if it's negative, the parabola opens downwards. In this case, since the coefficient of (x - h)² is 1, which is positive, the parabola opens upwards.
Therefore, the parabola x = √(y - 9) opens upwards.
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The triangle and rectangle belowhave the same area what is the value of w?
(I[m Assuming W =10cm)
the formula for area of a triangle is 1/2 times the base (4 cm) times the height (5 cm) so the area of the triangle would be 10 cm. to find the area of the rectangle you would divide 10 by 4, which means that w=2.5 cm
Does anyone know this question?
Step-by-step explanation:
this is a relatively easy function. Just plug in the value for x
Evaluate. (1/4)^−2−(5^0⋅2)⋅1^−1 Enter your answer in the box. HELP! 100 POINTS!
Answer:
\(\Huge \boxed{\mathrm{14}}\)
\(\rule[225]{225}{2}\)
Step-by-step explanation:
\((\frac{1}{4} )^{-2} - (5^0) (2)(1^{-1})\)
Solving for exponents and multiplying:
\((4 )^{2} - (1) (2)(1)\)
\(16-2\)
Subtracting:
\(\Rightarrow \ 14\)
\(\rule[225]{225}{2}\)
Answer:
\(\huge\boxed{14}\)
Step-by-step explanation:
\(\sf (\frac{1}{4} )^{-2} - (5^0 * 2 )* (1^{-1})\)
Using law of exponents \(a^0 = 1\) and \(1/a^m = a^{-m}\)
=> \(4^2 - (1*2)*(1)\)
=> \(16 - 2\)
=> 14
A rectangular prism with length width and heighth has a volume of two
What is the volume of a prism which has a base of 3 m by 3 m, and a height of m?
Help plssssss
Answer:
9m3
Step-by-step explanation:
multiply every thing if the answer is not satisfactory its because there is a bunch of info losing
Solve for y in terms of xSolve for y:1/3y = 6 (x - 1/6)
Solve for y:
1/3y = 6 (x - 1/6)
solve for y
that means -----> isolate the variable y
we have
\(\begin{gathered} \frac{1}{3}y=6\cdot(x-\frac{1}{6}) \\ \text{Multiply both sides by 3} \\ y=18\cdot(x-\frac{1}{6}) \\ y=18x-3 \end{gathered}\)therefore
the answer is
y=18x-3Please, Do you understand all the steps so far?do you see the answer tab?What is a solution to the system of equations that includes quadratic function f(x) and linear function g(x)?f(x) = 5x2 + x + 3xg(x)–23–150719211 (-1, 7) (0, 3) (0, 7) (1, 9)
1) Since g(x) is displayed in a table, let's find which rule g(x) has by picking two points: (-2,3), (-1,5) let's find the slope between those points:
\(m=\frac{y_2-y_1}{x_2-x_1}=\frac{5-3}{-1-(-2)}=\frac{2}{-1+2}=\frac{2}{1}=2\)So, the slope is 2. Note that in the table we can see the point (0,7) so we can tell the y-intercept is 7. And the rule is:
\(g(x)=2x+7\)2) Now, let's equate f(x) to g(x) and find the x coordinate of the shared point:
\(\begin{gathered} 5x^2+x+3=2x+7 \\ 5x^2+x+3-7=2x+7-7 \\ 5x^2+x-4=2x \\ 5x^2-x-4=0 \\ x_=\frac{-\left(-1\right)\pm\sqrt{\left(-1\right)^2-4\cdot\:5\left(-4\right)}}{2\cdot\:5} \\ x_=1,-\frac{4}{5} \end{gathered}\)The next step is to plug and check. So let's plug x=1 into each original equation. The true solution(s) will yield the same output.
\(\begin{gathered} y=2x+7 \\ y=5x^2+x+3 \\ y=2+7\Rightarrow y=9 \\ y=5(1)^2+(1)+3\Rightarrow y=9 \\ \\ y=2(-\frac{4}{5})+7\Rightarrow y=\frac{27}{5} \\ y=5(-\frac{4}{5})^2-\frac{4}{5}+3\Rightarrow y=\frac{27}{5} \end{gathered}\)Thus, the answer is the point
\((-\frac{4}{5},\frac{27}{5}),(1,9)\)As there is only one answer in the choices we can tell that the answer is:
(1,9)
Answer:
(1, 9)
Step-by-step explanation:
I got it right on the test.
Suppose that an individual has a body fat of 17.1% and weighs 128 pounds. How many pounds of his weight is made up of fat?
\(\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{17.1\% of 128}}{\left( \cfrac{17.1}{100} \right)128}\implies 21.888~~ \approx ~~22\)
find the volume of the square pyramid. type an integer or decimal. round final answer to nearest tenth as needed.
Answer:
Explanation:
Given:
To find:
The volume of the square pyramid
The volume(V) of a square pyramid can be determined using the below formula;
\(V=a^2\frac{h}{3}\)where a = length of the side of the square base = 4 in
h = height of the pryramid = 7 in
So if we substitute the above values into the formula and solve for V, we'll have;
\(\begin{gathered} V=4^2\frac{7}{3} \\ =16*\frac{7}{3} \\ =37.3\text{ in}^3 \end{gathered}\)So the volume of the square pyramid is 37.3 in^3
(c) What is the value of p if 4x² + 20x + p is a
perfect square
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\(( {a + b})^{2} = {a}^{2} + 2ab + {b}^{2} \)
_________________________________
\(4 {x}^{2} + 20x + p = \)
\(( {2x})^{2} + 2(2x)(5) + p = \)
Thus ;
\(p = {5}^{2} \)
So
\(p = 25\)
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Select the sketch of the right rectangular prism with height of 2cm and bases that are 5 cm by 3 cm.
Answer: See image
Step-by-step explanation:
The bases are 5cm times 3cm, meaning that 2 parallel sides have to be 5cm by 3cm, 2 other parallel sides have to 2cm by 3cm, and the 2 other parallel sides have to be 5cm by 2cm.
Oreana's 150 g bag of trail mix is x% raisins. Brandon's 250 g bag of trail mix is y% raisins. They combine the two mixes together in one bowl.
Write an expression which shows how many grams of raisins are in the bowl
The expression which shows how many grams of raisins are in the bowl will be
(0.01x) * 150 + (0.01y) * 250
What is the expression that shows the raisin?An expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. In this case, it is vital to note that they have at least two terms which have to be related by through an operator. Some of the mathematical operations that are illustrated in this case include addition, subtraction, etc.
The expression which shows how many grams of raisins are in the bowl will be:
= (x% × 150) + (y% × 250)
= (0.01x) * 150 + (0.01y) * 250
This equation represents the total grams of raisins in the bowl by multiplying the weight of the Oreana's bag by the percentage of raisins in it, and adding that to the product of the weight of Brandon's bag and the percentage of raisins in it. The "0.01" is used to convert the percentages from x and y to decimal form.
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The lengths in feet of three pieces of timber are
144, 216, 240. The sawmill operator needs to cut
the timber into logs of equal length with no
waste. How many feet long is the largest
possible length she can cut?
The equal length of the logs will be 200 feets each.
Since the lengths in feet of three pieces of timber are 144, 216, 240 and the operator wants to cut them into 3 equal sizea, this will go thus:
= (144 + 216 + 240) / 3
= 600/3
= 200 feets each
Therefore, there'll be an equal length of 200 feets each.
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Answer:24 feet
Step-by-step explanation:
1st of all it is unbelievable to whichever tutor believed that the answer is 200 because you cannot glue timber to each other
you start by finding the Greatest Common Factor of each number which the easiest way to do it is to list the prime faction of all of them
144=12*12=6*6*2*2=3*3*2*2*2*2=3^2*2^4
216=108*2=54*2*2=27*2*2*2=2*2*2*3*3*3=2^3*3^3
240=80*3=2*2*2*2*3*5=2^4*3*5
then you check what they all have in common: three two's and one 3 then you multiply them all together 2^3*3=24 and that's the answer
The group of individuals fitting a description is the _____
A.census
B.sample
C.parameter
D.population
The group of individuals fitting a description is called option D: Population, this is because, in statistics, a population is seen as am entire group of individuals, items, or elements that tends to have or share a common characteristics.
What is population?The term "population" describes the complete group of people or things that you are interested in investigating. It is the group of individuals or thing(s) about which you are attempting to draw conclusions.
There are infinite and finite populations. A population with a set quantity of people or things is said to be finite. An endless population is one that has an infinite amount of people or things.
Therefore, the correct option is D
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See full text below
A group of individuals fitting a description is the _____
Which of the term below fit the description above.
A.census
B.sample
C.parameter
D.population
Rewrite the following multiplication problem using the associative property and then show that both results will be the same.
3/7 x 5/6 x1/4
The answer is the same i. e., 4.375 in all the cases as shown
What is multiplication problem ?There are two terms which describe the three numbers in a multiplication problem. The factors are the numbers that are being multiplied together. The product is the result or answer of multiplying the multiplicand by the multiplier.
= 3/7 x 5/6 x1/4
= 38/8
= 3/7 x 1/4 x 5/6
= 5/6 x 1/4 x3/7
= 5/6 x 3/7 x 1/4
= 1/4 x 5/6 x 3/7
=1/4 x 3/7 x 56
= 4.375
The answer is the same i. e., 4.375 in all the cases as shown.
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in how many ways can a family of four be seated at a round table if two brothers must sit together a)1 b)8 c)2 d)4
Answer:
8
Step-by-step explanation:
i think this is right if not it would be 2
Polygon ABCD is drawn with vertices A(−4, −4), B(−4, −6), C(−1, −6), D(−1, −4). Determine the image coordinates of B′ if the preimage is reflected across y = 3.
B′(−4, 6)
B′(−4, 12)
B′(−1, −3)
B′(10, −6)
2t + 4(4 + 10t)
Simplify the expression
Answer:
=42t+16
Step-by-step explanation:
=2t+(4)(4)+(4)(10t)
=2t+16+40t
=2t+16+40t
=(2t+40t)+(16)
=42t+16
Simplify the expression
2t + 4(4 + 10t)
Simplifying
y = 2t4 + -10t2 + 13
Reorder the terms:
y = 13 + -10t2 + 2t4
Solving
Solving for variy = 13 + -10t2 + 2t4
able 'y'.
Move all terms containing y to the left, all other terms to the right.
Simplifying
y = 13 + -10t2 + 2t4
Hence the information I've given you, we can now state that the answer is
42 t + 16
Find the value of x.
A. 45
B. 25
C. 35
D. 15
Answer:
the answer is B. 25
Step-by-step explanation:
your equation should be set up like this:
5X + 7 = 132
then you will subtract 7 from both sides
5X + 7 = 132
- 7 = - 7
-------- -------
5X = 125
Divide both sides by 5 to get rid of the X. 125 divided by 5 is 25
Find the volume of this sphere.
Round to the nearest tenth.
10 cm
Formulas for Spheres
S.A. = 4tr2
V = rer
?] cm3
Enter
Step-by-step explanation:
Diameter=10cm
Radius=Diameter/2=10/2=5cm
Now
\(\boxed{\sf Volume\:of\: Sphere=\dfrac{4}{3}\pi r^3} \)
\(\begin{gathered}\\ \tt{:}\leadsto Volume_{(Sphere)}=\dfrac{4}{3}\times \dfrac{22}{7}\times 5^3\end{gathered}\)
\(\begin{gathered}\\ \tt{:}\leadsto Volume_{(Sphere)}=\dfrac{88}{21}\times 125\end{gathered} \)
\(\begin{gathered}\\ \tt{:}\leadsto Volume_{(Sphere)}=\dfrac{11000}{21}\end{gathered} \)
\(\begin{gathered}\\ \tt{:}\leadsto Volume_{(Sphere)}=523.8\end{gathered} \)
\(\begin{gathered}\\ \tt{:}\leadsto Volume_{(Sphere)}=524units^3(Approx)\end{gathered} \)
Volume of the sphere is 524 \(cm^{3}\)
What is Volume?"Volume is the total amount of space occupied by any three dimensional object."
What is sphere?" A sphere is three dimensional shape which is equidistant from its center."
Formula used to calculate Volume of a sphere
Volume of a sphere = \(\frac{4}{3} \pi r^{3}\)
According to question,
Diameter = 10cm
Radius = \(\frac{Diameter}{2}\)
= \(\frac{10}{2}\)
= 5cm
Volume of a sphere = \(\frac{4}{3}\) ×\(\pi\)×\(5^{3}\)
= \(\frac{4}{3}\) ×\(\frac{22}{7}\) × \(5\) × \(5\) × \(5\)
= 523.8
= 524 \(cm^{3}\) (round to the nearest tenth)
Hence Volume of a sphere is 524 \(cm^{3}\).
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On the planet Gespil, there are 5 dogs to every 12 cats. If farmer Pisquet has 50 cats on her joogh farm, how many dogs are on the farm?
Number of dogs in the farm of Pisquet is approximately 21.
What is Proportion?Proportions are defined as the concept where two or more ratios are set to be equal to each other.
If we have two ratio p : q and r : s and if these ratios are proportional, then we can write it as p: q : : r : s.
This is same as p : q = r : s or p/q = r/s
Given that,
On the planet Gespil, there are 5 dogs to every 12 cats.
Number of dogs for 12 cats = 5
Let Number of dogs for 50 cats = x
Using concept of proportion,
12 / 5 = 50 / x
Cross multiplying,
12x = 5 × 50
12x = 250
x = 20.83 ≈ 21
Hence there are approximately 21 dogs for 50 cats.
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Find the angle between the given vectors to the nearest tenth of a degree.
u = 6, -1, v = 7, -4
20.3°
10.2°
0.2°
30.3°
Answer:
20.3
Step-by-step explanation:
Answer:
Step-by-step explanation:
u=6i-j
v=7i-4j
u.v=|6i-j||7i-4j| cos α,where α is the angle between u & v.
(6i-j).(7i-4j)=√(6²+(-1)²)√(7²+(-4)²) cos α
(6)(7)+(-1)(-4)=√37√65 cos α
42+4=√37√65 cos α
\(\cos \alpha =\frac{46}{\sqrt{37} \sqrt{65} } \\\alpha =\cos^{-1}\frac{46}{\sqrt{37} \sqrt{65} } \approx 20.28^\circ \approx 20.3^\circ\)
Which of the following options have the same value as 80%, percent of 22?
Answer:
A
D
E
is the correct answer
Answer:
A
D
E
Step-by-step explanation: it was right on khan academy so I think it is right
A 2-column table with 10 rows. The first column is labeled x with entries 0.5, 1, 1, 1.5, 2, 2, 2.5, 3.5, 3.5, 4. The second column is labeled y with entries 1, 1, 2, 3, 2, 5, 4, 5, 6, 7. A graph shows the horizontal axis numbered 1 to 4 and the vertical axis numbered 1 to 7. A line increases from 0 to 4.
Devin recorded the number of hours he played a video game, x, and the levels he achieved, y. The regression calculator shows the equation for the line of best fit. Use the equation to interpolate the values and estimate the time it would take him to get to level 5. Round to the nearest half hour.
Answer:
1. (multiple choice) 5
2. (written answer) 3 hrs
Step-by-step explanation
who asked the question but they put two different questions on top of eachother. anyways, the answers are right, I just did them on edge and came back to help
Answer:
3 hours
Step-by-step explanation:
Can anyone give me tips on ways I could stop being tired and stressed to studying and working on homework more often?
Answer:you can often sleep more earlier to more things and try staying away from things that strain your eyes and take naps or breaks between work
Step-by-step explanation:
Amy has 9 cups of flour. If this is 3/4 of the amount she needs to make cake, how many cups does she need?
ugh sorry no answer.. my answer is wrong..
For this problem, assume that the committee contains 6 men and 9 women and that three are selected at random for a subcommittee. What is the probability that the subcommittee consists of 2 men and 1 woman, given that it contains both men and women
Answer:
0.3846 = 38.46% probability that the subcommittee consists of 2 men and 1 woman.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
To solve this question, we need to know the combinations formula and conditional probability.
Combinations formula:
\(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
Conditional Probability
We use the conditional probability formula to solve this question. It is
\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)
In which
P(B|A) is the probability of event B happening, given that A happened.
\(P(A \cap B)\) is the probability of both A and B happening.
P(A) is the probability of A happening.
What is the probability that the subcommittee consists of 2 men and 1 woman, given that it contains both men and women?
Event A: Contains both men and woman
Event B: Consists of two men and 1 woman.
Probability of containing both men and woman:
Desired outcomes:
2 men(from a set of 6) and 1 woman(from a set of 9), or 1 men(from a set of 6) and 2 women(from a set of 9). So
\(D = C_{6,2}*C_{9,1} + C_{6,1}*C_{9,2} = \frac{6!}{2!4!}*\frac{9!}{1!8!} + \frac{6!}{1!5!}*\frac{9!}{2!7!} = 351\)
Total outcomes:
3 people from a set of 6 + 9 = 15. So
\(T = \frac{15!}{3!12!} = 455\)
Probability:
\(P(A) = \frac{D}{T} = \frac{351}{455} = 0.7714\)
Intersection of events A and B:
Intersection between both men and women, and 2 men and 1 woman, is 2 man and 1 women. So
Desired outcomes:
2 men(from a set of 6) and 1 woman(from a set of 9).
\(D = C_{6,2}*C_{9,1} = 135\)
Total outcomes:
3 people from a set of 6 + 9 = 15. So
\(T = \frac{15!}{3!12!} = 455\)
Probability:
\(P(A \cap B) = \frac{D}{T} = \frac{135}{455} = 0.2967\)
Desired probability:
\(P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.2967}{0.7714} = 0.3846\)
0.3846 = 38.46% probability that the subcommittee consists of 2 men and 1 woman.
Where will X be after a rotation 90° clockwise about (-5,-1)?
Click on the grid to place the point.
The image point of the coordinate X after the rotation is (-1, 5).
Calculating the image point of the coordinate XWhen a point is rotated 90° clockwise around the origin, the new point will be formed by switching the x and y-coordinates and then negating the new x-coordinate.
So for point X (-5, -1), the new x-coordinate will be -1, and the new y-coordinate will be -(-5) = 5, giving the new point (-1, 5).
Therefore, after a rotation of 90° clockwise, point X (-5, -1) will be at the new location (-1, 5).
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