Answer:
4.4 inches
Step-by-step explanation:
Here, we are interested in calculating the value of x.
Mathematically, a line that comes from the center of the circle and extends to a chord, divides the chord into two equal parts.
This means what we have is a right angled triangle with the radius being the hypotenuse, the half of the length of the chord as the other side of the triangle.
3.7 is half the length of the chord i.e 7.4/2
Thus;
using Pythagoras’ theorem
x^2 = 2.4^2 + 3.7^2
Pythagoras’ posited that the square of the hypotenuse is equal to the sum of the squares of the other two sides of the triangle.
Thus;
x^2 =5.76 + 13.69
x^2 = 19.45
x = √(19.45)
x = 4.41 inches which is 4.4 inches to the nearest tenth
Answer:
4.4
Step-by-step explanation:
How can we use a graph to tell that two populations are equal?
Answer: You can see if the graphs of the two populations meet at a given point.
Step-by-step explanation:
If we have a graph of population vs time
such that y = population and x = time, two different populations will be exactly the same for a given time if we have an intersection of the two graphs. The value (x0, y0) where the graphs cross is the time = x0 and the population y0, this means that both populations have y0 individuals at the same time.
A recipe calls for a total of 3 and two-thirdscups flour and sugar. If the recipe calls for One-fourthcup of sugar, how much flour is needed?
Answer:
3 and 5/12
Step-by-step explanation:
To find how much flour you need, subtract how much sugar you need from how much total you need of sugar and flower. To do this, turn both numbers into improper fractions. This means 3 and 2/3 turns into 11/3 as there are 3 thirds per whole, and there are three wholes plus the 2 thirds, equaling 11/3. The 1/4 is already an improper fraction, so you can move on.
Now you just covert them to have the same denominator by multiply 11/3 by 4 on top and bottom and 1/4 by 3 on both the top and bottom to get 44/12 and 3/12. Now you just subtract 44/12-3/12 and get 41/12. Made into a mixed number that is 3 and 5/12.
The recipe will require three and five-twelfths (3 5/12) fraction cups of flour.
What are fractions?A fraction is a portion of a whole or, more broadly, any number of equal pieces.
It is written in the form p/q, read as "p by q", where p is called the numerator and q is called the denominator, and the fraction p/q represents p number of equal parts from q number of equal parts.
Fractions are of two types:
Proper fraction: Where numerator < denominator. Improper fraction: Where numerator > denominator. These fractions are written in mixed form also.How to solve the question?In the question, we are informed that a recipe calls for a total of 3 and two-thirds cups of flour and sugar.
We are asked if the recipe calls for One-fourth cup of sugar, then how much flour is needed.
We suppose the quantity of flour required to be x cups.
We know the quantity of sugar required = One-fourth cup.
This can be written as a fraction = 1/4 cup.
We know the total sugar and flour is three and two-thirds cups.
This can be written as a fraction = 3 2/3 cup = 11/3 cup.
Now, we know quantity of sugar + quantity of flour = total quantity
or, 1/4 + x = 11/3
or, x = 11/3 - 1/4 = (44 - 3)/12 = 41/12 = 3 5/12.
Therefore, the recipe will require three and five-twelfths (3 5/12) fraction cups of flour.
Learn more about fractions at
https://brainly.com/question/11562149
#SPJ2
The graphs below have the same shape.What is the equation of the red graph ?
Answer:
B. f(x) = 1 - x²
Step-by-step explanation:
Since we are dealing with only vertical movement, all we change is the constant. Since the red graph is up one from the reflected parent graph, we know our graph is f(x) = -x² + 1 or f(x) = 1 - x².
Answer:
B. F(x) = 1 - x^2
Step-by-step explanation:
The red graph is the blue graph translated 3 units down. It has a vertical translation of -3 units.
F(x) = G(x) - 3
F(x) = 4 - x^2 - 3
F(x) = 1 - x^2
Assume that the probability of a boy being born is the same as the probability of a girl being born. Find the probability that a family with three children will have the given composition. (Enter your answer to four decimal places.) At least one girl
Answer:
0.875 or 87.5%
Step-by-step explanation:
For each child, there is an equal 1 in 2 probability of having a girl or a boy.
The probability of having at least one girl out of three children includes the probability of having 1, 2 or 3 girls. It can also be written as 100% minus the probability of having all boys, therefore:
[tex]P(G\geq 1)=1-P(B=3)\\P(G\geq 1)=1-(\frac{1}{2}*\frac{1}{2}*\frac{1}{2})\\ P(G\geq 1)=0.875[/tex]
The probability of having at least one girl is 0.875 or 87.5%.
Solve for x 5x−1=6x−9 It would be better for more of a simpler and easier method if possible.
Answer:
X= 8Step-by-step explanation:
[tex]5x - 1 = 6x - 9[/tex]
Move variable to L.H.S and change its sign:
[tex]5x - 6x - 1 = - 9[/tex]
Move constant to RHS and change its sign:
[tex]5x - 6x = - 9 + 1[/tex]
Combine like terms and simplify:
[tex] - x = - 8 \\ x = 8[/tex]
Hope this helps....
Good luck on your assignment...
mr Kobe has 30 students in his class ha has twice as many girls and boys what are the ratios to total students
Answer:
Step-by-step explanation:
2:3 is the correct answer
I hope this helps you
Simplify the variable expression by evaluating its numerical part, and enter your answer below. (19 - 6) * w
Answer:
13w
Step-by-step explanation:
(19 - 6) * w
PEMDAS says parentheses first
19-6 = 13
13*w
13w
Answer:
13w
Step-by-step explanation:
(19-6)*W
PEMDAS
19-6= 13
13*W = 13w
A number x is at least -3 and at most 9
-3 <= x <= 9 would be the inequality
Answer:
[tex]\boxed{-3 \leq x \leq 9}[/tex]
Step-by-step explanation:
x is at least -3
So,
=> x ≥ -3
For, x at most 9, It is
=> x ≤ 9
Combining the inequality
-3 ≤ x ≤ 9
4. A cricketer scores the following runs in eight innings:
58, 76, 40, 35, 46, 45, 0, 100.
Find the mean score.
Answer:
i believe the answer would be 50
Step-by-step explanation:
to find the mean you add all of the numbers together and divide it by the amount of numbers given.
For example, in this problem, you would add:
58+ 76+ 40+ 35+ 46+ 45+ 0+ 100
which would equal 400
then you you divide 400 by 8 because there are 8 numbers and it gives you the answer of 50
(hope this helped <33)
Answer:
50Step-by-step explanation:
[tex]\dfrac{58+76+40+35+46+45+0+100}{8}=\dfrac{400}8=50[/tex]
NEED HELP IMMEDIATELY. I WILL BRAINLIEST
Answer:
Equation 2: [tex]y=-x^2-2[/tex]
The strategy i used to make this equation is to make graph the parent equation and see what changes are to be made in order to get the needed answer.
Step-by-step explanation:
Well a normal parent parabola function is [tex]y=x^2[/tex].
And the parabloa it makes opens up so to make it open down we make it negative to [tex]y=-x^2[/tex]. And to make a negative y intercept we make the y intercept -2.
So the equation is [tex]y=-x^2-2[/tex].
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
x^2 - 3x + 9/4 = 5 + 9/4.
Step-by-step explanation:
To find what to add to both sides to make the equation a square, you need to do (b / 2)^2.
In this case, b = -3.
(-3 / 2)^2
= 9 / 4.
x^2 - 3x - 5 = 0
x^2 - 3x = 5
x^2 - 3x + 9/4 = 5 + 9/4.
Hope this helps!
What is the solution to the system of equations? 6 x + 2 y = 6. 7 x + 3 y = 5. (Negative 3, 2) (Negative 1, 6) (2, Negative 3) (6, Negative 1)
Answer:
(2, -3)
Step-by-step explanation:
These are the steps I used:
(6x+2y=6) x3 -> 18x+6y=18
(7x+3y=5) x2 -> 14x+6y=10
When you subtract the equations you get:
4x=8
x=2
The solution to the system of equations is -3 and -2
The correct option is A
What is a system of equations?A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.
A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one.
6x+2y=6 is equation (1)
7x+3y=5 is equation (2)
Multiplying equation (1) by (3)
18x+6y=18 is equation(3)
By multiplying (2) by 2
14x+6y=10 is equation (4)
Substrate equation (4) from (3)
4x=8 Now, divide both sides by 4
X=2
Substitute x=2 in (1)
6(2)+2y=6
12+2y=6
Substrate 12 from LHS and RHS
2y=-6
Divide both sides by 2
y=-3
Hence x=2 and y=-3
learn more about system of equations here;
https://brainly.com/question/25180086
#SPJ6
which is the smallest number 6.1 5.4 5 1/10 6 7/10
Answer:
5 1/10
Step-by-step explanation:
Convert all integers to decimals.
6.1
5.4
5 1/10 = 5.1
6 7/10 = 6.7
The smallest number frrom the list is 5.1 or 5 1/10.
Answer:
5 1/10
Step-by-step explanation:
Convert to the same format, IE. decimals so you can compare like numbers. The other numbers are:
6.1
5.4
5.1 (1/10 = 0.1)
6.7 (7/10 = 0.7)
So, from least to greatest they are:
5.1
5.4
6.1
6.7
Determine whether the given source has the potential to create a bias in a statistical study: An article in Journal of Nutrition noted that chocolate is rich in flavonoids. The article reports that "regular consumption of foods rich in flavonoids may reduce the risk of coronary heart disease." The study received funding from the candy company, and the Chocolate Manufacturers Association. Identify and explain at least one source of bias in the study describe. Then suggest how the bias might have been avoided?
Answer: The source has the potential to create bias because it was sponsored by companies that will benefit from it. This might have been avoided by stoping these companies from sponsoring the study.
Explanation:
A study is biased if its results or process is not objective, which means they have been influenced by a specific perspective or interest, and the results are inaccurate. One of the factors that causes bias is the participation of entities with economic interests in the study.
This occurs in the case described because a candy and a chocolate company sponsored the studies, and therefore results might be modified to benefit the companies. According to this, the study has the potential of being biased, and the main source is the fact it was sponsored by companies with interests.
Besides this, this can be avoided if the study does not accept sponsoring by companies with specific interests. In this way, the study will be objective, and the results will not be influenced, which means the information provided by the study would be accurate and credible.
find the value of x in the isoscleles triangle sqrt45 and altitude 3
Answer:
[tex]c.\hspace{3}x=12[/tex]
Step-by-step explanation:
Isosceles triangles are a type of triangles in which two of their sides have an identical length. It should be noted that the angles opposite the sides that are the same length are also the same. This means that these triangles not only have two equal sides, but also two equal angles.
You can solve this problem using different methods, I will use pythagorean theorem. First take a look at the picture I attached. As you can see:
[tex]x=2a[/tex]
And we can find a easily using pythagorean theorem:
[tex](\sqrt{45} )^{2} =3^{2} +a^{2}[/tex]
Solving for a:
[tex]a^{2} =(\sqrt{45} )^{2} -3^{2} \\\\a^{2} =45-9\\\\[/tex]
[tex]a^{2} =36\\\\a=\sqrt{36} \\\\a=6[/tex]
Therefore:
[tex]x=2a\\\\x=2(6)\\\\x=12[/tex]
The sum of the first two terms of an infinite GP is 6 and each term is 5 times the sum of the succeeding termsthen the second term GP is
Answer:
[tex]\dfrac{6}{7}[/tex].
Step-by-step explanation:
It is given that the sum of first two terms of an infinite GP is 6.
nth term of a GP is
[tex]a_n=ar^{n-1}[/tex]
[tex]a+ar=6[/tex] ...(1)
Each term is 5 times the sum of the succeeding terms.
[tex]a_n=5(a_{n+1}+a_{n+2}+...+\infty)[/tex]
[tex]ar^{n-1}=5(ar^n+ar^{n+1}+...+\infty)[/tex]
[tex]ar^{n-1}=5ar^n(1+r+r^2+...+\infty)[/tex]
Divide both sides by a.
[tex]r^{n-1}=5r^n(\dfrac{1}{1-r})[/tex] [tex][\text{Sum of infinite GP}=\dfrac{a}{1-r}][/tex]
[tex]\dfrac{r^n}{r}=\dfrac{5r^n}{1-r}[/tex]
[tex]\dfrac{1}{r}=\dfrac{5}{1-r}[/tex]
[tex]1-r=5r[/tex]
[tex]1=6r[/tex]
[tex]\dfrac{1}{6}=r[/tex]
The common ratio is 1/6.
Put r=1/6 in (1).
[tex]a+a(\dfrac{1}{6})=6[/tex]
[tex]6a+a=36[/tex]
[tex]7a=36[/tex]
[tex]a=\dfrac{36}{7}[/tex]
Second term [tex]ar=\dfrac{36}{7}\times \dfrac{1}{6}=\dfrac{6}{7}[/tex]
Therefore, the second term is [tex]\dfrac{6}{7}[/tex].
The alphabet of a fictionary tribe consists of three letters: A, O and M. Any combination of no more than four of these letters is considered a word. How many words are does this tribe's language have?
Answer:
120 words
Step-by-step explanation:
There are only three possible letters, assuming words can be 1, 2, 3 or 4 letters long:
The number of 1 letter words is 3
The number of 2 letter words is 3² = 9
The number of 3 letter words is 3³ = 27
The number of 4 letter words is 3⁴ = 81
The total number of possible words is:
[tex]3+9+27+81 = 120\ words[/tex]
This tribe's language has 120 words.
This is an example of a ____transformation
Answer: Translation
Step-by-step explanation:
The shape its self has only shifted to the right. It hasn't been rotated or reflected.
Answer:
Translation
Step-by-step explanation:
defintion of translation: the process of moving something from one place to another.
The shpae is being moved to the right as shown by the arrow.
Can somebody explain this to me and the answer I don’t get this at all
Answer:
a)~5572.45 (cm^3)
b)~1519.76 (cm^2)
Step-by-step explanation:
A volleyball has a diameter d = 22 cm
=> Its radius r is r = d/2 = 22/2 = 11 cm
a) Its volume is calculated by:
V = (4/3) x pi x r^3
with p = ~3.14 and r = 11 cm
=> V = (4/3) x 3.14 x 11^3 = ~5572.45 (cm^3)
b) Its surface area is calculated by:
A = 4 x pi x r^2
with p = ~3.14 and r = 11 cm
=> A = 4 x 3.14 x 11^2 = ~1519.76 (cm^2)
(x^4)8 please help me with this
Answer:
x^32
Step-by-step explanation:
Multiply the exponent 4 by the exponent 8:
(x^4)^8 = x^32
❗️5 points❗️
2. Find the slope of the line.
A. 3
B. -3
C. -1/3
D. 1/3
Answer:
D. 1/3
Step-by-step explanation:
Use the following equation to solve for the slope:
m (slope) = (y₂ - y₁)/(x₂ - x₁).
Let:
(x₁ , y₁) = (0 , 2)
(x₂ , y₂) = (3 , 3)
Plug in the corresponding numbers to the corresponding variables:
m = (3 - 2)/(3 - 0)
m = (1)/(3)
m = 1/3
D. 1/3 is your answer.
~
please help i will give you brainliest if you give me the right answer and don't copy from online or another answer source from on here!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
A horror movie ticket costs $6.50 per child. Which equation can be used to calculate the horror ticket price, M, for n children?
Answer:
The answer would be M = 6.5n because 6.50 per child would be 6.50 * n which can be simplified to 6.50n or 6.5n.
Answer:
correct answer is above :>
Step-by-step explanation:
Which triangle correctly shows that the side opposite the larger angle is the larger side?
Answer:
The answer is C
I turned it in and it was correct
Step-by-step explanation:
Please mark brainliest
Answer:
c
Step-by-step explanation:
Which statement is true about the ranges for the box plots? A variety of two types of snack packs are delivered to a store. The box plots compare the number of calories in each snack pack of crackers to the number of calories in each snack pack of trail mix.
*The box plots are shown in the attachment
Answer/Step-by-step explanation:
Range is the difference between the largest value of a data set and the lowest value in that data set.
In a box plot, the highest value is located at the end of the whisker to our right, while the lowest value is located at the beginning of the whisker of the box plot at our left.
For Crackers, the range = 100-70 = 30
For Cookies, the range = 115-70 = 45
Therefore, we can conclude that the range value of the number of calories in crackers (30) is less/lower than that of cookies (45).
Answer: D. The number of calories in the packs of trail mix have a greater variation than the number of calories in the packs of crackers.
NEED ANSWER ASAP! plz someone answer ASAP
Answer:
The value of c is 2
Step-by-step explanation:
p(x) = cx³ - 15x - 68
Since it's divisible by ( x - 4) that means when the value of ( x - 4) is substituted into the polynomial it leaves a remainder of zero that's no remainder.
x - 4 = 0
x = 4
Substitute it into the above expression
That's
c(4)³ - 15(4) - 68 = 0
64c - 60 - 68 = 0
64c = 60 + 68
64c = 128
Divide both sides by 64
c = 2
Hope this helps you
Answer:
h
Step-by-step explanation:
b
Please help! Having a hard time with these, appreciated if you do :)
Answer:
Hey there!
Here's the first question.
Let l be the length, and w be the width.
Thus, we have 5w=l+4, or 5w-4=l.
The perimeter is 76, so 2l+2w=76.
We see that l=5w-4, so substitute 5w-4 for l.
2(5w-4)+2w=76
10w-8+2w=76
12w-8=76
12w=84
w=7
Thus, the length is 5(7)-4, or 31.
Option C is correct.
Here is the second question)
Let x be the larger angle and y be the smaller angle.
Supplementary angles add to 180 degrees.
x+y=180
x=3y
Similar to the first problem change all the x's into 3y's
3y+y=180
4y=180
y=45
x=135
So the two angles are 45 and 135 and they add to 180 degrees (Choice D)
Hope this helps :)
Which shows a correct order to solve this story problem? Phoebe bought 2 muffins for $1.99 each and 2 cups of milk for $1.50 each at her favorite diner. She left a $1.40 tip for the server. How much did Phoebe have left from the $20 she took to the diner? A. Step 1: Add the price of a muffin and the tip. Step 2: Add the price of a cup of milk to the total from Step 1. Step 3: Multiply that total by 2. Step 4: Subtract that total amount from $20. B. Step 1: Calculate the price of 2 muffins. Step 2: Calculate the price of 2 cups of milk. Step 3: Subtract the total amounts from Steps 1 and 2 from $20. Step 4: Add the tip to that amount. C. Step 1: Add the price of a muffin to the price of a cup of milk. Step 2: Multiply that total by 2. Step 3: Add the tip to the final total for all the items. Step 4: Subtract the total amount with tip from $20.
Answer:
First Question
1.99+1.50=3,49
3.49 x 2=6.98
6.98+1.40=8.38
20-8.38=$11.62
Second Question
22.50 x 2=45
45+35.50+7.18=87.68
87.68/2=43.84
Step-by-step explanation:
D: happy to help
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. The simplest form of the expression -2x2(x – 5) + x(2x2 – 10x) + x is .
Answer:
x
Step-by-step explanation:
-2x²(x – 5) + x(2x² – 10x) + x
The simplest for of the above equation can be obtained as follow:
-2x²(x – 5) + x(2x² – 10x) + x
Rearrange
x(2x² – 10x) – 2x²(x – 5) + x
Factorise
x.2x(x – 5) – 2x²(x – 5) + x
2x²(x – 5) – 2x²(x – 5) + x
Carry out the minus (–) operation
=> x
Therefore, the simplest form of expressing -2x2(x – 5) + x(2x2 – 10x) + x is x.
PLZ HELP! QUICK! WILL MARK BRAINLIEST!!! 20 POINTS!!! A portion of the Quadratic Formula proof is shown. Fill in the missing statement.
Answer:
D.
Step-by-step explanation:
After the third step, take the square root of both sides.
Third Step:
[tex](x+\frac{b}{2a})^2=\frac{b^2-4ac}{4a^2}[/tex]
Thus, the fourth step is:
[tex]\sqrt{(x+\frac{b}{2a})^2}=\sqrt{ \frac{b^2-4ac}{4a^2}} }[/tex]
The left side cancels:
[tex](x+\frac{b}{2a})=\pm\sqrt{ \frac{b^2-4ac}{4a^2}} }[/tex]
D.
Answer:
x + [tex]\frac{b}{2a}[/tex] = ±[tex]\sqrt \frac{b^{2} - 4ac }{4a^{2} }[/tex] aka choice D
Step-by-step explanation:
please answer I need help!!! Apply the distributive property to create an equivalent expression. 1/2 (10x+20y+10z) PLEASE ANSWER!! :)
Answer:
5x + 10y + 5z
Step-by-step explanation:
1/2 (10x+20y+10z)
Distribute
1/2 (10x)+1/2(20y)+1/2(10z)
5x + 10y + 5z
Answer: Your correct would be 5x+ 10y+5z
Step-by-step explanation:
Hope this helps you!!!