Answer:
7/10
Step-by-step explanation:
To make things simple, let's turn 80% into a fraction, 8/10. To get a common denominator let's turn 8/10 into 4/5. Since they are both of equal size, the first group would have 2/5 left-handed people and the second 1/5 left-handed people. Let's imagine that each group has 5 people in it. There would be 10 people in total. There is 1 person for each fifth so we can add now. 4 + 3 = 7 right handed people. To check, 2 + 1 = 3 and 3 + 7 = 10. so 7/10 of the class is right-handed.
The fraction of the class is right handed is 7/10
We have given that
80% of the second group are right-handed.
let's turn 80% into a fraction,
What is the fraction form of 80%?The fraction form of 80% can be calculated by dividing 80 by 100
So we get,
[tex]=\frac{80}{100} \\\\=\frac{8}{10}[/tex]
=8/10.
To get a common denominator let's turn
8/10 =4/5 .....(divide the numerator and denominator by 2)
Since they are both of equal size,
The first group would have 2/5 left-handed people and
The second 1/5 left-handed people.
Let's imagine that each group has 5 people in it.
There would be 10 people in total.
There is 1 person for each fifth so we can add now.
4 + 3 = 7 .....(1)
right handed people.
we can check it,
2 + 1 = 3 and 3 + 7 = 10. .........(2)
Therefore we get,
7/10 of the class is right-handed.
The fraction of the class is right handed is 7/10
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Does anyone know this?
the square root of 108 is about 10.4 and since the negative symbol is on the outside of the square root symbol, the answer is -10.4
The lines s and t intersect at point R.
What is the value of y?
Enter your answer in the box
(4y - 8)
(79 + y)°
Y=29
Set the equations equal to eachother since they're vertical angles and solve.
Y=29 is the answer you're welcome
which equation is the inverse of 5y+4=(x+3)^2+1/2
-5y - 4 = -(x + 3)^2 - 1/2
Answer:
This is the answer
Find the value of X. Round to the nearest tenth. Plz Help.
Answer:
x = 26.7
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan64° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{x}{13}[/tex]
Multiply both sides by 13
13 × tan64° = x, thus
x ≈ 26.7
Answer:
x = 26.7 units
Step-by-step explanation:
1. Find the third side: 180 = 90 + 64 + A, where A is the unknown angle
A = 180 - 154, A = 26°
2. Law of sines: sinA/a = sin B/b, where A and B are angles on a triangle, and a and b are the angles' opposite sides.
Plug in: sin(26°)/13 = sin(64°)/x
Means-extremes + multiply: x = 13sin(64°)/sin(26°)
Simplify: x ≈ 26.7 units (It is better to put one equation straight into the calculator instead of doing it one at a time, since the answer will be more accurate.)
A car leave P and drives 3km North to Q. From Q it's drives 15km on a bearing North 45degree East to R. Find the distance and bearing of R from P
Answer:
17.25 km N37.9°E
Step-by-step explanation:
The way to solve this is to determine the vertical and horizontal distances traveled.
The bearing means 45° east of north.
Vertically, the car travels a distance of:
y = 3 + 15 cos 45°
y = 3 + 7.5√2
y ≈ 13.6
Horizontally, the car travels a distance of:
x = 15 sin 45°
x = 7.5√2
x ≈ 10.6
The total distance we find with Pythagorean theorem:
d = √(x² + y²)
d = √(10.6² + 13.6²)
d ≈ 17.25
The bearing from north we find with tangent:
tan θ = x / y
tan θ = 10.6 / 13.6
θ ≈ 37.9°
What is the value for x?
Answer:
x = 12
Step-by-step explanation:
Since all 3 angles are congruent then the triangle is equilateral, thus all 3 sides are also congruent.
Equate any 2 of the sides and solve for x
5x - 22 = 3x + 2 ( subtract 3x from both sides )
2x - 22 = 2 ( add 22 to both sides )
2x = 24 ( divide both sides by 2 )
x = 12
Answer:
The value of x is 12
Step-by-step explanation:
* Lets talk about the equilateral triangle
- The three sides of the triangle are equal in length
- The three angles of the triangle are equal in measure
- To find the measure of each one divide the sum of the measures
of the angles of the triangle by 3
∵ The sum of the measure of the angles in any triangle = 180°
∴ The measure of each angle in the equilateral Δ = 180° ÷ 3 = 60°
* Now lets solve the problem
- From the figure the three angles have the same mark, that means
the three angles are equal in measure
∵ m∠A = m∠B = m∠C
∴ Δ ABC is equilateral triangle
∴ AB = BC = AC
- WE can use any two sides of them to find the value of x
∵ AB = 4x - 10
∵ BC = 3x + 2
∵ AB = BC
∴ 4x - 10 = 3x + 2 ⇒ add 10 and subtract 3x from both sides
∴ 4x - 3x = 2 + 10 ⇒ add the like terms
∴ x = 12
- To check the answer substitute the value of x in the 3 sides to
find the length of each side (they must have the same length)
∵ AB = 4x - 10
∴ AB = 4(12) - 10 = 48 - 10 = 38 units
∵ BC = 3x + 2
∴ AB = 3(12) + 2 = 36 + 2 = 38 units
∵ AC = 5x - 22
∴ AB = 5(12) - 22 = 60 - 22 = 38 units
- All the sides are equal, then the value of x is right
* The value of x is 12
(x − 3)(2x2 − 5x + 1)
Answer:
2x3 − 11x2 + 16x − 3
Step-by-step explanation:
-4 square divided by 8
Answer:
2
Step-by-step explanation:
If you square -4 it equals 16 and if you take that number and divibe it by 8 you get 2.
Find the exact circumference of a circle with the given radius.
3/4 inches
C=
6.25ft in
6.57 in.
23.257 in.
Answer:
[tex]6.5\pi\ in[/tex]
Step-by-step explanation:
we know that
The circumference of a circle is equal to
[tex]C=2\pi r[/tex]
we have
[tex]r=3\frac{1}{4}\ in[/tex]
Convert to an improper fraction
[tex]r=3\frac{1}{4}=\frac{3*4+1}{4}=\frac{13}{4}\ in[/tex]
substitute
[tex]C=2\pi(\frac{13}{4})[/tex]
[tex]C=\frac{13}{2}\pi=6.5\pi\ in[/tex]
A _____ consists of two or more inequalities. At least one of these is nonlinear
Answer:
Nonlinear system of inequalities
Step-by-step explanation:
Answer:
Nonlinear system of inequalities
Step-by-step explanation:
What is the height of the cone below?
- 3
- 9
- 27
- 75
[tex]\bf \textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\ \end{cases}\implies V=\pi r^2\cdot \cfrac{h}{3}~~ \begin{cases} \pi r^2=&area~of\\ &circular\\ &base\\ \cline{1-2} \stackrel{B}{\pi r^2}=&5\\ V=&45 \end{cases} \\\\\\ 45=5\cdot \cfrac{h}{3}\implies 135=5h\implies \cfrac{135}{5}=h\implies 27=h[/tex]
Answer:
The correct option is C) 27
Step-by-step explanation:
Consider the provided figure.
Volume of a cone is: [tex]V=\frac{1}{3}\pi r^2h[/tex]
The area of base of the cone is = area of circle = [tex]\pi r^2[/tex]
Volume of the cone is 45 in³ and the area of base is given as 5 in²
Therefore, [tex]45=\frac{1}{3}\pi r^2h[/tex]
and [tex]5=\pi r^2[/tex]
Substitute the value of [tex]\pi r^2=5[/tex] in [tex]45=\frac{1}{3}\pi r^2h[/tex]
[tex]45=\frac{1}{3}\times 5\times h[/tex]
[tex]45\times \frac{3}{5}=h[/tex]
[tex]h=27[/tex]
Hence, the height of the cone is 27 in.
Therefore, the correct option is C) 27
Find the endpoint given a midpoint of (3,2) and an endpoint of (4,-3)
[tex]\bf ~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{4}~,~\stackrel{y_1}{-3})\qquad (\stackrel{x_2}{x}~,~\stackrel{y_2}{y}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left( \cfrac{x+4}{2}~~,~~\cfrac{y-3}{2} \right)=\stackrel{\textit{midpoint}}{(3,2)}\implies \begin{cases} \cfrac{x+4}{2}=3\\[1em] x+4=6\\ \boxed{x=2}\\ \cline{1-1} \cfrac{y-3}{2}=2\\[1em] y-3=4\\ \boxed{y=7} \end{cases}[/tex]
Convert (2,210°) to rectangular form.
Answer:
(-√3 , -1)
Step-by-step explanation:
I can confirm this is the correct answer because I just took the Plato test and (2cos210, 2sin210) equals the answer.
Tara is making dinner for 9 people. She mixes 1 1/4 kilograms of rice with 500grams of vegetables and 410 grams of meat. If all of the food is split evenly among the diners,what is the size of each serving?
Answer:
240 grams
Step-by-step explanation:
Tara uses:
[tex]1 \dfrac{1}{4}\ kg=1 \ kg\ 250 \ g=1250\ g[/tex] of rice500 g of vegatables 410 g of meatIn total, Tara uses
[tex]1250+500+410=2160\ g[/tex] of ingredients.
She is making dinner for 9 people, so the weight of each serving is
[tex]2160:9=240\ g[/tex]
Balance this equation:
H2 + Cl2- HCI
The chemical reaction between hydrogen and chlorine to form hydrochloric acid is balanced as H2 + Cl2 -> 2HCI. This denotes one molecule of hydrogen and one molecule of chlorine reacting to produce two molecules of hydrochloric acid.
Explanation:The equation presented in the question is H2 + Cl2 -> HCI. This is a chemical reaction in which hydrogen (H2) and Chlorine (Cl2) react to form hydrochloric acid (HCI). However, the equation is not balanced as it stands. Balancing a chemical equation involves ensuring that there are equal numbers of each type of atom on each side of the equation.
In this case, the balanced equation is: H2 + Cl2 -> 2HCI This means that one molecule of hydrogen and one molecule of chlorine react to form two molecules of hydrochloric acid.
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I Need Help Please!!!!!!
Answer:
A.
Step-by-step explanation:
The answer is A. B happens between 7 and 9, C happens before 6:30, and D happens between 9:30 and 10.
Which question is statistical?
a. How many cities had more than 2 inches of snow
b. Which class earned the most points?
c. Which student sold the most boxes of candy
d. How many hours did you sleep each day this month?
I think the answer is A
The question about the number of cities with more than 2 inches of snow is a statistical question as it involves data collection and analysis. Hence option a is correct.
The question, 'How many cities had more than 2 inches of snow?' is considered a statistical question. This is because it deals with the collection, analysis, interpretation, and presentation of data regarding the amount of snow that fell in various cities. Statistics is an area of mathematics that pertains to data analysis, and this question would likely require the processing and summarization of snowfall data from a number of cities.
There are 5 boys and 5 girls on a co-ed basketball team. A team plays 5 players on the court at one time, and the team can have at most 3 boys. How many possible teams can be created?
Answer:
226 teams
Step-by-step explanation:
A team can be:
5 girls4 girls and 1 boy3 girls and 2 boys2 girls and 3 boysCount all combinations:
1. 5 girls from 5 girls can be chosen in 1 way.
2. 4 girls from 5 girls can be chosen in
[tex]C^5_4=\dfrac{5!}{4!(5-4)!}=\dfrac{1\cdot 2\cdot 3\cdot 4\cdot 5}{1\cdot 2\cdot 3\cdot 4\cdot 1}=5[/tex]
different ways and 1 boy from 5 boys can be chosen in
[tex]C^5_1=\dfrac{5!}{1!(5-1)!}=\dfrac{5!}{1!\cdot 4!}=\dfrac{1\cdot 2\cdot 3\cdot 4\cdot 5}{1\cdot 2\cdot 3\cdot 4\cdot 1}=5[/tex]
different ways, so in total,
[tex]5\cdot 5=25[/tex]
different combinations.
3. 3 girls from 5 girls can be chosen in
[tex]C^5_3=\dfrac{5!}{3!(5-3)!}=\dfrac{5!}{3!\cdot 2!}=\dfrac{1\cdot 2\cdot 3\cdot 4\cdot 5}{1\cdot 2\cdot 3\cdot 1\cdot 2}=10[/tex]
different ways and 2 boys from 5 boys can be chosen in
[tex]C^5_2=\dfrac{5!}{2!(5-2)!}=\dfrac{5!}{2!\cdot 3!}=\dfrac{1\cdot 2\cdot 3\cdot 4\cdot 5}{1\cdot 2\cdot 1\cdot 2\cdot 3}=10[/tex]
different ways, so in total,
[tex]10\cdot 10=100[/tex]
different combinations.
4. 2 girls from 5 girls can be chosen in
[tex]C^5_2=\dfrac{5!}{2!(5-2)!}=\dfrac{5!}{2!\cdot 3!}=\dfrac{1\cdot 2\cdot 3\cdot 4\cdot 5}{1\cdot 2\cdot 1\cdot 2\cdot 3}=10[/tex]
different ways and 3 boys from 5 boys can be chosen in
[tex]C^5_3=\dfrac{5!}{3!(5-3)!}=\dfrac{5!}{3!\cdot 2!}=\dfrac{1\cdot 2\cdot 3\cdot 4\cdot 5}{1\cdot 2\cdot 3\cdot 1\cdot 2}=10[/tex]
different ways, so in total,
[tex]10\cdot 10=100[/tex]
different combinations.
In total, there are
[tex]1+25+100+100=226[/tex]
possible teams.
Please help ASAP! I will mark brainiest!
The population of Canyon Edge is 210,000, and the rate of population growth is 12.5%.
A. Using the formula for exponential growth, write a formula for the population of the town, y, after x years.
B. Next, use your formula to find population of Canyon Edge after 4 years.
Answer 2625
Step-by-step explanation: if the population is 210,000 and the rate is 12.5%
then make two fraction lines on your paper and on the second fraction line put 12.5% as the numerator and then 100 as the denominator then on the first fraction put x as your numerator and 210,000 as the denominator then cross multiple 120,000 to 12.5 then divide by 100 which your answer should be 2625
Find the missing side length,m
Answer:
m = 3
because qrst is a parallelogram opp. sides are equal
Answer:
Step-by-step explanation:3
During February last year in Chicago, the lowest temperature was -5
F and the highest
temperature was 19
F. What was the difference in temperature between the coldest day and
the hottest day? Show your answer using a number line and then a number sentence
Answer:
Difference is 26 degrees f
Step-by-step explanation:
What is the mode for the set of values? 5 9 1 2 7 3 1 8 8 1 3
The mode is the number repeated most often, so if we arrange these numbers in order, we can see what numbers repeat the most-
1 1 1 2 3 3 5 7 8 8 9
The number that repeats the most is 1
(1 counted 3 times)
(3 counted twice)
(8 counted twice)
The mode for the set of values is 1. It's calculated by counting how many times a number appears in a data collection.
What is mode?Mode is the number in the data set repeating maximum number of times. It is obtained by calculating how many times the number are repeating in a data set.
The given data set is;
5 9 1 2 7 3 1 8 8 1 3
Numbers Count (No of times)
1 3
3 2
8 2
1 is the most repeating number. It repeats three times.
Hence, the mode for the set of values is 1.
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The following graph shows the number of customers who purchased something from a store in September and October. What is misleading about the graph?
A. The bars do not touch.
B. The intervals on the vertical axis between 200 and 207 are not even.
C. The graph exaggerated the difference in the number of customers between September and October.
D. The graph is not misleading
Answer:
C
Step-by-step explanation:
The graph is misleading because it exaggerates the difference. September had 202 customers and October had 206. That's a difference of 4 customers, which out of 202 isn't very much. The graph doesn't start at 0, and that's why it looks exaggerated.
The misleading about the graph
The graph exaggerated the difference in the number of customers between September and October.
Here the given graph is misleading because it exaggeration the difference,
As, September has 202 customer while October has 206 customers.
and, the difference in the customer is 4.
The difference is very minimum if remove from 202.
Also, the graph have a kink which shows the graph does not start from 0 and this is why the exaggeration is pronounced.
Thus, The graph exaggerated the difference in the number of customers between September and October.
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Which is the standard form of the equation of a parabola with a focus of (8, 0) and directrix x = –8?
ANSWER
C. is the correct answer
[tex] {y}^{2} = 32x[/tex]
EXPLANATION
The given parabola has a focus at (8,0) and directrix at x=-8.
The equation of this parabola is of the form:
[tex] {y}^{2}=4px[/tex]
Where p is the the distance from the vertex to the focus.
Since the vertex is at the origin,the distance from the vertex to the focus (8,0) is p=8.
[tex] {y}^{2} = 4(8)x[/tex]
[tex] {y}^{2} = 32x[/tex]
Answer:
C on edge
Step-by-step explanation:
Sam and Bethan share £54 in the ratio 5:4
Work out how much each person gets.
Add the ratios together:
5 +4 = 9
Divide the total amount by t his number:
54 / 9 = 6
Now multiply each side of the ratio by 6:
Sam = 5 x 6 = £30
Bethan = 4 x 6 = £24
What function does this graph represent?
Answer:
B. [tex]f(x)=0.2(x-2)^2+1[/tex]
Step-by-step explanation:
The equation of a parabola in the vertex form is given by:
[tex]f(x)=a(x-h)^2+k[/tex], where V(h,k) is the vertex of the parabola
This parabola opens upwards and has its vertex at: V(2,1)
The a-value must therefore be positive.
The function must be
[tex]f(x)=0.2(x-2)^2+1[/tex]
The correct option is B.
What is the value of x?
The angles are congruent meaning that you can set them equal to each other:
26 = 5x + 11
Now you can solve for x
26 - 11 = 5x + (11 - 11)
15 = 5x
15/5 = 5x/5
x = 3
Hope this helped!
~Just a girl in love with Shawn Mendes
Answer:
26 = 5x + 11
5x = 15
x = 3
A parabola has its focus at (0, 3) and its directrix at x = 4.
3a. What are the coordinates of the vertex?
3b. What is the focal length of the parabola?
3c. What is the equation, in standard form, of the parabola?
I want some help with understanding this, I'm very confused and annoyed
Answer:
a. The coordinates of the vertex are (2 , 3)
b. The focal length of the parabola is 8
c. The equation, in standard form, of the parabola is (y - 3)² = -8(x - 2)²
Step-by-step explanation:
* Lets revise the equation of a parabola
- If the equation is in the standard form (y − k)² = 4p(x − h), then:
# Use the given equation to identify h and k for the vertex, (h , k)
# Use the value of k to determine the axis of symmetry, y = k
# Use h , k and p to find the coordinates of the focus, (h + p , k)
# Use h and p to find the equation of the directrix, x = h − p
# The endpoints of the focal diameter, (h + p , k ± 2p)
# The focal length is I4pI
* Now lets solve the problem
∵ The parabola has focus at (0 , 3)
∵ The coordinates of its focus, (h + p , k)
∴ h + p = 0 ⇒ (1)
∴ k = 3
∵ Its directrix at x = 4
∵ The equation of the directrix, x = h − p
∴ h - p = 4 ⇒ (2)
- Add (1) and (2) to find h and p
∴ h + p + h - p = 0 + 4 ⇒ add the like terms
∴ 2h = 4 ⇒ divide both sides by 2
∴ h = 2
- Substitute the value of h in (1)
∴ 2 + p = 0 ⇒ subtract 2 from both sides
∴ p = -2
a. ∵ h = 2 and k = 3
∵ The vertex of the parabola is (h , k)
∴ The coordinates of the vertex are (2 , 3)
b. ∵ The focal length is I4pI
∵ p = -2
∴ The focal length = I4 × -2I = I-8I = 8
∴ The focal length of the parabola is 8
c. ∵ The equation in the standard form is (y − k)² = 4p(x − h)
∵ h = 2 , k = 3 , p = -2
∴ The equation is (y - 3)² = 4(-2)(x - 2)²
∴ The equation is (y - 3)² = -8(x - 2)²
∴ The equation, in standard form, of the parabola is (y - 3)² = -8(x - 2)²
PLEASE HELP GUYS! 10 POINTS
tynna get points. this is not the answer, sorry
A company claims its washing machine produces 4000 joules of work output for every 3000 joules of work input. What would make you skeptical about this claim?
Things that make me skeptical: No evidence is provided, the company also claims that its washing machine produces 4000 joules of output for ever 3000 joules of input, and there is no possible way of creating a joule output larger than the input, unless your using coils to increase electricity, but that's not what washing machines have inside of their machinery. Washing machines don't have mini Tesla coils inside their machinery!
I hope this helps!