Answer:
22-26: frequency = 3
27-31: frequency = 4
32-36: frequency = 5
37-41: frequency = 3
42-46: frequency = 4
You have linear functions p(x) and q(x). You know p(2)=3, and p(q(x))=4x+7 for all x. Find q(-1).
Answer:
q(-1)=-2
Step-by-step explanation:
1) flip the equation:
4x+7=-1
2) subtract 7 from both sides:
4x=-8
3) divide both sides by 4:
x=-2
HOPE THIS HELPS!!!! :)
The pair of points is on the graph of an inverse variation. Find the missing value.
(5, 4) and (x, 7)
Answer:
20/7 or 2 and 6/7
Step-by-step explanation:
convert it into the equation 5=k/4
so 5x4 is 20
k=20
then x=20/y
and y is 7
so the answer is 20/7
Evaluate 2y - 10 + 8y when y is 4
Answer:
30Step-by-step explanation:
Given,
y = 4
Now, let's evaluate:
[tex]2y - 10 + 8y[/tex]
Plug the values
[tex] = 2 \times 4 - 10 + 8 \times 4[/tex]
Multiply the numbers
[tex] = 8 - 10 + 32[/tex]
Calculate the sum of positive numbers
[tex] = 40 - 10[/tex]
Subtract the numbers
[tex] = 30[/tex]
Hope this helps...
Best regards!!
Answer:
30
Step-by-step explanation:
To solve your question we must first replace y with the given number. In this case, the number given is 4 so,
2 (4) - 10 + 8 (4)
We can now solve by multiplying 2 by 4 and 8 by 4
2 * 4 = 8
8 * 4 = 32
8 - 10 + 32 = 30
Hope this helps!!
feet.
The radius of Cylinder A measures
10
7
14
Answer:
14 I think
Step-by-step explanation:
Tell me if I'm wrong
Answer:
14
mark me brainy plz!
Step-by-step explanation:
What is the mean absolute deviation of the data set {30,33,36,34,52}?
Answer:
6
Step-by-step explanation:
I took the test and got 100%
I hope i helped and that i get brainliest :P
Answer:
Step-by-step explanation:
1)To find the mean absolute deviation of the data, start by finding the mean of the data set.
2)Find the sum of the data values, and divide the sum by the number of data values.
3)Find the absolute value of the difference between each data value and the mean: |data value – mean|.
4)Find the sum of the absolute values of the differences.
5)Divide the sum of the absolute values of the differences by the number of data values.
Select all the examples of categorical data. colors number of siblings favorite pet profits genre of music
Answer:
Color, favorite pet, genre of music
Step-by-step explanation:
Categorical variables are simply statistical variables which are non - numeric, usually employed in characterization and groupings based on a certain number of fixed attributes, categories. In the options atated above, the categorical variables fall under a heading with a limited and fixed attributes such as color, pet and genre of music. However, options such as number of siblings and profit are purely numeric variables which can take up any numeric digits and allow for direct numeric computation. They are called quantitative variables.
Answer:
colors, genre of music, favorite pet
P(n) models the probability, when rolling a pair of dice, of obtaining two numbers whose sum is n 2 6 7 P(n) 1/36 5/36 6/36 when does the probability increase faster? a)Between a sum of 2 and a sum of 6 b) Between a sum of 6 and a sum of 7 c)the probability increases at the same rate over both intervals
Answer:
Option c.
Step-by-step explanation:
From the given table, it is clear that
[tex]P(2)=\dfrac{1}{36}[/tex]
[tex]P(6)=\dfrac{5}{36}[/tex]
[tex]P(7)=\dfrac{6}{36}[/tex]
The increasing rate of probability between a sum of 2 and a sum of 6 is
[tex]r_1=\dfrac{P(6)-P(2)}{6-2}[/tex]
[tex]r_1=\dfrac{\dfrac{5}{36}-\dfrac{1}{36}}{4}=\dfrac{1}{36}[/tex]
The increasing rate of probability between a sum of 6 and a sum of 7 is
[tex]r_2=\dfrac{P(7)-P(6)}{7-1}[/tex]
[tex]r_2=\dfrac{\dfrac{6}{36}-\dfrac{5}{36}}{1}=\dfrac{1}{36}[/tex]
Since [tex]r_1=r_2[/tex], therefore the probability increases at the same rate over both intervals.
Hence, the correct option is c.
Answer:
c)the probability increases at the same rate over both intervals
Step-by-step explanation:
it was right on khan academy
Please Help ASAP! Will name Brainliest! Question: Minimize the objective function P = 5x + 8y for the given constraints. x ≥ 0 y ≥ 0 2x + 3y ≥ 15 3x + 2y ≥ 15 Answer: 25, 46, 39, 37.5
Answer:
Option D.
Step-by-step explanation:
Minimize the objective function P = 5x + 8y for the given constraints.
[tex]x\geq 0,y\geq 0[/tex]
[tex]2x+3y\geq 15[/tex]
[tex]3x+2y\geq 15[/tex]
The related equations of above inequalities are
[tex]2x+3y=15[/tex]
[tex]3x+2y=15[/tex]
For [tex]2x+3y=15[/tex],
x y
0 5
7.5 0
Plot (0,5) and (7.5,0) and join them by straight line.
For [tex]3x+2y=15[/tex],
x y
0 7.5
5 0
Plot (0,7.5) and (5,0) and join them by straight line.
Check the inequalities for (0,0).
[tex]2(0)+3(0)\geq 15\Rightarrow 0\geq 15[/tex] False
[tex]3(0)+2(0)\geq 15\Rightarrow 0\geq 15[/tex] False
It means both lines are solid lines and shaded region for each lies opposite side of (0,0).
From the below graph it is clear that the vertices of feasible region are (0,7.5), (3,3), (7.5,0).
Point P = 5x + 8y
(0,7.5) P=5(0)+8(7.5)=60
(3,3) P=5(3)+8(3)=15+24=39
(7.5,0) P=5(7.5)+8(0)=37.5 (Minimum)
So, minimum value is 37.5.
Therefore, the correct option is D.
PLEASE ANSWER ASAP!!!!!! WILL MARK BRAINLY
Answer:
i think u r correct
Step-by-step explanation:
good job
Answer:
B, C, and E ([tex]x\leq -7,[/tex] The graph has a closed circle, and -7 is part of the solution.)
Step-by-step explanation:
Let's first solve the inequality of [tex]15\geq 22+x[/tex].
[tex]15\geq x+22[/tex]
[tex](15)-22\geq( x+22)-22[/tex]
[tex]-7\geq x[/tex]
[tex]x\leq -7[/tex]
So the final equation comes out to be [tex]x\leq -7[/tex].
This graph has a closed circle as it is a greater than OR equal to.
And -7 is a part of this solution as it is the number x is being compared to.
Let me know if I got anything wrong.
If sin theta = 4/5 and cos theta is in quadrant II, then cos theta and tan theta equal what?
Using the pythagorean identity, [tex]\cos^2{\theta} + \sin^2{\theta} = 1[/tex]. Since [tex]\theta[/tex] is in quadrant ||, we know that [tex]\cos{\theta}[/tex] is negative. Solving the equation [tex]\cos^2{\theta} + (\frac{4}{5})^2 = 1[/tex] for [tex]\cos{\theta}[/tex], we get that [tex]\cos{\theta} = -\frac{3}{5}[/tex].
[tex]\tan{\theta}[/tex] is equal to [tex]\frac{\sin{\theta}}{\cos{\theta}}[/tex], which is [tex]-\frac{4}{3}[/tex].
The value of cos θ and tan θ will be negative 0.60 and negative 0.75, respectively.
What is trigonometry?Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.
If sin θ = 4/5.
The value of the cosine is negative. Then the cosine of angle θ is given as,
cos θ = -√(1 - sin²θ)
cos θ = - √[1 - (4/5)²]
cos θ = - √[9/25]
cos θ = - 3/5
θ = 143.13°
The value of the tangent of angle θ is calculated as,
⇒ tan θ
⇒ tan 143.13
⇒ - 0.75
The value of cos θ and tan θ will be negative 0.60 and negative 0.75, respectively.
More about the trigonometry link is given below.
https://brainly.com/question/22698523
#SPJ2
A cougar can run 25 miles per hour. A cheetah can run 55 miles per hour. if they both run at 3 hours full speed, how much farther will the cheetah run
Answer:
Step-by-step explanation:
( in 3hrs calculate distance)
,the cheetah will run 90 miles farther the cougar
pls mark my answer as the brainliest
Does coordinate c or coordinate d represent a greater number?
Answer:
Coordinate d
Step-by-step explanation:
Answer: d is larger
c = -2 and d = -1
====================================================
Explanation:
We have c = -2 as this is the same as the x coordinate of (-2,-1), which is the point directly below (c,5).
The point (3,d) is on the same horizontal level as (-2,-1), so the y coordinates must match up. We therefore have d = -1.
Comparing c = -2 and d = -1, we see that d = -1 is larger as it is to the right of -2.
The price of a vase was increased by 10% to £22. What was the price before the increase?
Answer:
Step-by-step explanation:
Let the price of the vase before increase = x
110 % of x = £ 22
[tex]\frac{110}{100}*x=22\\\\x=22*\frac{100}{110}\\\\x=2*10\\[/tex]
x = £ 20
Please answer this!!! Thank you!!!
I hope this helped! Good luck with the rest of your class :)
help me plzzzz i need help i need help right now right now
Answer:
the third one is correct
60 is what percent of 90?
Answer:
[tex]\boxed{66.67\%}[/tex]
Step-by-step explanation:
[tex]\frac{60}{90}[/tex]
[tex]=\frac{2}{3}[/tex]
[tex]\approx 66.67\%[/tex]
60 is 66.67 percent of 90.
66,(6) %
Step-by-step explanation:90 ............... 100%
60 ....................X%
X = 60×100/90 = 600/9 = 66,(6) %
Pleaseeeee hurryy need help!!
it is the last one
Step-by-step explanation:
by simplifying powers it becomes
8g^8/64h ^5
simplifying it further gives
g^8/ 8h^5
Please answer both questions
Answer:
36 and 24
Step-by-step explanation:
Answer:
Part a : 20 units², Part d : 12 units²
Step-by-step explanation:
We are given that the side lengths of each square is 6 units. In this case we can calculate the area of the triangles, subtracting from the area of the outer square, such that we calculate the remaining, area of the shaded region / inscribed square.
Area of Outer Square ( Same in all Cases ) = 6 [tex]*[/tex] 6 = 36 units²,
Area of Common Triangles ( 4 Triangles ) = 1 / 2 [tex]*[/tex] Base [tex]*[/tex] Height = 1 / 2 [tex]*[/tex] 2 [tex]*[/tex] ( 6 - 2 ) = 1 / 2 [tex]*[/tex] 2 [tex]*[/tex] 4 = 4,
4 [tex]*[/tex] 4 = 16 units²
Area of inscribed Square = 36 units² - 16 units² = 20 units²
For this second case the inscribed shape is not a square, but it can be calculated through a similar approach,
Area of Outer Square ( Same in all Cases ) = 6 [tex]*[/tex] 6 = 36 units²,
Area of Common Triangles ( 2 Triangles ) = 1 / 2 [tex]*[/tex] Base [tex]*[/tex] Height = 1 / 2 [tex]*[/tex] 4 [tex]*[/tex] 6 = 2 [tex]*[/tex] 6 = 12,
12 [tex]*[/tex] 2 = 24 units²
Area of inscribed shape = 36 units² - 24 units² = 12 units²
1. What solid is represented by this net? (Image 1). A. cylinder B. triangular pyramid C. rectangular prism D. triangular prism E. cone F. rectangular pyramid 2. Choose all the solids from the list below. A. Rectangle B. Circle C. Cone D. Pyramid E. Prism F. Cylinder 3. The volume of the following figure = ___________ cm3. (Image 2) A. 288 B. 72 C. 216 D. 144
Answer:
c rectangular prism i think
Step-by-step explanation:
Let f(x) = 5x + 4 and g(x) = −2x + 1. Find the indicated value f(-2) plz respond quickly
Answer:
f(-2) = -6
Step-by-step explanation:
f(x) = 5x + 4
Let x=-2
f(-2) = 5*-2 +4
= -10+4
= -6
Answer:
[tex]\boxed{f(-2) = -6}[/tex]
Step-by-step explanation:
[tex]f(x) = 5x-4[/tex]
Put x = -2
[tex]f(-2) = 5(-2)+4\\f(-2) = -10+4\\f(-2) = -6[/tex]
When multiplying or dividing two numbers with opposite signs, the answer will be 1.negative 2.positive
Answer:
Negative when multiplying
and
Negative when dividing
Step-by-step explanation:
Answer:
I hope these help
Multiplication ;[tex] - \times - = + \\ - \times + = - \\ + \times + = + \\ + \times - = - [/tex]Division ;[tex] + \div - = - \\ + \div + = + \\ - \div - = + \\ - \div + = - [/tex]
Write the equations after translating the graph of y = | 1/2x−2|+3, one unit to the right
[tex]y=|\dfrac{1}{2}x-2|+3[/tex]
Since we are translating this graph one unit to the right, replace x with (x-1)
Note: If you are translating a graph to the left by k units, replace x with (x+k), and if by the right, replace x with (x-k)
[tex]y=|\dfrac{1}{2}(x-1)-2|+3[/tex]
After simplifying, we now have the following equation:
[tex]=|\dfrac{1}{2}x-\dfrac{5}{2}|+3[/tex]
This is the new equation. Let me know if you need any clarifications, thanks!
Answer:
we are given
y=|2x|-1
we are given to translate this equation
Whenever we translate any function to right side by 'c' units
we can replace x as x-c
Here , we have to translate one unit right
so, we can replace x as x-1
and we get
y=| 2( x-1 ) | 1
Hope this helps <3
pls help me i give brainliest
Answer: I Thing the answer may be 7units. Please correct me if i'm wrong
Step-by-step explanation:
If 4 pounds of sugar cost $2, the cost of 1 pound of sugar is $ and the cost of 10 pounds of sugar is $ Bryan drives at an average speed of 60 miles per hour. At this rate, it will take him 3 hours to drive how many miles does Bryan
Answer:
The cost of one pound of sugar is $0.5 and the cost of 10lbs of sugar is $5
Bryan is driving 180 miles
Step-by-step explanation:
Thank you for helping
Answer:
The answer is option B
Step-by-step explanation:
Using BODMAS the expression in the bracket
that's
( 9 + 3) must be solved first
Hope this helps you
60 points
Lana uses factoring by grouping to factor the polynomial 8x2y−10xy2+12x−15y. Her work is shown below, but the last two lines of work are missing.
8x2y−10xy2+12x−15y
(8x2y−10xy2)+(12x−15y)
__[blank 1]__
__[blank 2]__
Select one statement for each blank to correctly complete Lana’s work.
blank 1: 2xy(4x−5y)+3(4x−5y)
blank 1: −4x(2xy+3)+5y(2xy+3)
blank 2: (2xy−3)(4x+5y)
blank 1: −2xy(4x+5y)−3(4x+5y)
blank 2: (2xy+3)(4x−5y)
blank 2: −(2xy+3)(4x−5y
NEED PROOF FOR POINTS
Answer:
blank 1: 2xy(4x-5y)+3(4x-5y)
blank 2: (2xy+3)(4x-5y)
Step-by-step explanation:
Using factoring group to factor the polynomial 8x²y−10xy²+12x−15y
Step 1: Group the polynomial function
(8x²y−10xy²)+(12x−15y)
Step 2: Factor the common value and variables from the functions in parentheses.
= (2xy*4x - 2xy(5y)) + (3(4x) - 3(5y))
= 2xy(4x-5y)+3(4x-5y)
Step 3: Rearrange the expression by selecting one of the function in parentheses and combine those not in parenthesis.
(2xy+3)(4x-5y)
The final expression gives the factor form of the polynomial.
Hence the statement for each blank that correctly completes Lana's work are;
blank 1: 2xy(4x-5y)+3(4x-5y)
blank 2: (2xy+3)(4x-5y)
Of a classroom filled with 20 students, 2 will be selected to stay after school and correct homework for extra credit. How
many combinations are possible?
Answer: 10
Step-by-step explanation:
20/2=10
pairs of two
Answer:
10 pair
Step-by-step explanation:
20/2=10
10 pairs of students staying after school for extra credit
WILL MARK BRAINLIEST Give a real world example of an equation which the constant of proportionality is 15. What would the graph look like?
Answer:
Let's say someone is selling lemonade at a lemonade stand. The more cups of lemonade this person sells, the more money they get. If 1 cup= $1, then he would get $2 for 2 cups.
Step-by-step explanation:
The price of the lemonade cup and the lemonade cup are a constant of proportionality. They are proportional to each other. The more lemonade you sell, the more money you get.
The graph would be a straight diagonal line. The y would be the money, and the x would be the amount of lemonade sold. Since they are the same and proportional, they would go in a straight line.
Find the magnitude of the vector.
(-2,-7)
Answer:
[tex]\sqrt{53}[/tex]
Step-by-step explanation:
[tex]\begin{pmatrix}-2&-7\end{pmatrix}\\=\sqrt{\left(-2\right)^2+\left(-7\right)^2}\\\\[/tex]
Then you need to simplify:
[tex]=\sqrt{2^2+\left(-7\right)^2}\\=\sqrt{2^2+7^2}\\=\sqrt{4+7^2}\\=\sqrt{4+49}\\=\sqrt{53}[/tex]
Answer:
53
Step-by-step explanation:
6/3x = 3. What is x?
Steps to solve:
6/3x = 3
~Multiply 3/6 to both sides
x = 3/2
Best of Luck!
Answer:
x = 3/2
Step-by-step explanation:
Hey there!
To solve this equation, let's rewrite it for cohesive purposes. This would result in (6/3)(x) = 3.
Now, we can simplify the fraction because it reduces to a whole number. Three will go into six two times, so 6/3 is equivalent to 2.
This leaves us with 2x = 3.
Now, we need to isolate the x. Because there is a coefficient leading the variable, we can divide the entire term (2x) by 2 as well as dividing the 3 on the righthand side of the equation by 2.
Remember the mathematical rule of thumb: what you do to one side of the equation, you must perform to the other side. Therefore, if we divide by 2 on the left side of the equation, we must also divide the righthand side of the equation by 2.
By performing this step, it leaves us with x = 1.5.
[tex]{\frac{2x}{2}=\frac{3}{2}}\\\\\bold{x = \frac{3}{2}}[/tex]
We can reduce [tex]\frac{3}{2}[/tex] to a decimal, which transfers to 1.5. However, it's best to leave the answer in fractional form. This leaves our final answer as [tex]\bold{x=\frac{3}{2}}[/tex].