Answer:
Step-by-step explanation:
x2+12w
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
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
What is -6/7 x (-3/8)
Answer:
9/28
Step-by-step explanation:
−6/7×−3/8and solve
−6 ×−3 OVER 7×8
=18/56
18÷2 OVER 56÷2=9/28 Therefore:
−6/7×−3/8=9/28
Answer:
[tex] \frac{9}{28} [/tex]Step-by-step explanation:
[tex] - \frac{6}{7 } \times \frac{ - 3}{8} [/tex]
Multiplying two negative equals a positive
[tex]( - ) \times ( - ) = ( + )[/tex]
[tex] \frac{6}{7} \times \frac{3}{8} [/tex]
Reduce the numbers with G.C.F 2
[tex] \frac{3}{7} \times \frac{3}{4} [/tex]
Multiply the fractions
[tex] \frac{3 \times 3}{7 \times 4} [/tex]
[tex] \frac{9}{28} [/tex]
hope this helps...
Good luck on your assignment...
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:
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)
Find the points of intersection of the following function graphs: y=14−2.5x and y=1.5x−18 PLEASE HELP ONLY 20 MINS LEFT
Answer:
This indicates that the point of intersection is: (8,-6)
Step-by-step explanation:
The intersection of two lines is the point where they intersect. The point where the line crosses the x axis is called [x-intercept]. The point [y-intercept] is where the line crosses the y-axis.
The point of intersection is calculated by equating their equations. By solving the resulting equation, the coordinates of the cut point are obtained.
In this case you have y=14−2.5x and y=1.5x−18
Equating the equations you get:
14-2.5x=1.5x-18
Solving:
14+18=1.5x+2.5x
32=4x
32÷4=x
x=8
Replacing in both equations: y=14-2.5*8=-6
y=1.5*8-18=-6
This indicates that the point of intersection is: (8,-6)
The intersection point can be seen graphically, representing both lines, as shown in the attached image, where the red line is y = 14−2.5x and the blue line represents y =1.5x-18
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].
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
HLP ! HLP ! Please and thank you
Answer:
Yes, it is an exponential function. The base is 2.
Step-by-step explanation:
As you can see, the function is f(x) = 2^(2x).
Since there is an exponent, the function is exponential. Graphing functions is another way to make sure if it's exponential or not.
The base is 2 because 2x, the exponent, is applied to it.
---
I hope this helps, let me know if you have any questions.
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
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
1. From a circular sheet of radius 18 cm, two circles of radii 4.5 cm and a rectangle of length 4 cm and breadth 1 cm are removed; find the area of the remaining sheet. [π = 22/7 ]
Area of a circle = PI x r^2
Area of sheet = 22/7 x 18^2 = 1,018.29 square cm.
Area of small circle = 22/7 x 4.5^2 = 63.64 square cm.
There are 2 small circles so total area of the circles are 63.64 x 2 = 127.28 square cm.
Area of rectangle = l x w = 4 x 1 = 4 square cm.
Total area of cutouts = 127.28 + 4 = 131.28 square cm.
Area of sheet left, subtract area of cutouts fro area of sheet:
1018.29 - 131.28 = 887.01 square cm.
Round everything as needed.
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!!!! :)
confused on this one
1. Assume that m26 = 60°. What must be true about 26 and 23 for the
lines to be parallel? Name the postulate or theorem that you used in
this justification
Answer:
The other measurement has to be 120 degrees. In other words, the two angles have to add up to 180 degrees. The method for that is same side interior.
Step-by-step explanation:
In same side interior angles, the sum of the two angles has to be 180 degrees. So we know that one of the angles is 60 degrees so we do 180-60=120.
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.
Which is the factored form of 64p3 + 125?
Select one:
O a. (4p + 5)2
O b. (4p + 5)(16p? + 20p + 25)
O c. (4p - 5)(16p² – 20p + 25)
O d. (4p + 5)(16p– 20p + 25)
Answer:
q .no d
Step-by-step explanation:
64p^3+125
4p^3+ 5^3
(4p+ 5 ) ( 4p^2- 4p *5 + 5^2)
(4p+5) (16p- 20p+ 25)
Answer:
The answer is
(4p + 5)( 16p² - 20p + 25)Step-by-step explanation:
64p³ + 125
Write the number in exponential form of 3
That's
4³p³ + 5³
Multiply the terms
That's
(4p)³ + 5³
Using the formula
a³ + b³ = ( a + b)(a² - ab + b²)Factor the expression
That's
( 4p + 5 )[ (4p)² - 4p(5) + 5²) ]
Solve the terms in the bracket
We have the final answer as
(4p + 5)( 16p² - 20p + 25)Hope this helps you
On a 120-question test, a student got 96 correct answers. What percent of the problems did the student work correctly? (Btw use proportions and pls explain descriptively how you got your answer)
Answer:
Hey there!
96 correct/120 total= 4 correct/5 total.
Thus, the student had 0.8 of the answers correct, or 80% of them
Hope this helps :)
Answer:
please mark me as the brainliest
Step-by-step explanation:
80%
What is the value of x in the equation ( x +
({ x + 12) = {(x +
4x + 14) – 3?
-24
-6
2
0
Answer:
3
Step-by-step explanation:
(x+(×+12)=(×+4×+14)-3
×+×+12=×+4×+14-3
2×+12=5×-2×
+12-11=5×-2×
-1=3×
Which statements about this system of equations are true? Check all that apply 2 x minus 7 y = negative 13. Negative 2 x + 11 y = 1. The x-variable will be eliminated when adding the system of equations. The y-variable will be eliminated when adding the system of equations. The sum of the system of equations is 4 y = negative 12. x = 17 y = negative 3 There are infinitely many solutions to the system of equations.
Answer:
1 and 3.
Step-by-step explanation:
The given system of equations
[tex]2x-7y=-13[/tex] ...(1)
[tex]-2x+11y=1[/tex] ... (2)
Here, coefficients of x have same values with opposite signs.
The x-variable will be eliminated when adding the system of equations.
Add (1) and (2), we get
[tex]2x-7y-2x+11y=-13+1[/tex]
[tex]4y=-12[/tex]
Divide both sides by 4.
[tex]y=-3[/tex]
Put y=-3 in (1).
[tex]2x-7(-3)=-13[/tex]
[tex]2x+21=-13[/tex]
[tex]2x=-13-21[/tex]
[tex]2x=-34[/tex]
Divide both sides by 2.
[tex]x=-17[/tex]
So, the given system of equations have unique solution, i.e., (-17,-3).
Therefore, the correct options are 1 and 3.
Please answer this!!! Thank you!!!
I hope this helped! Good luck with the rest of your class :)
If y varies jointly with x and y=5 when x=15 and z=24 find y when x=6 and z=14
Answer:
if they vary together then y would be 2
Step-by-step explanation:
since they vary together 5 multiplied by 3 is 15 so you would divide 6 by 3 to get 2 the z is irrelevant because it has no relation to x or y
Find the value of: [tex](1-\frac{1}{2^2})(1-\frac{1}{3^2})...(1-\frac{1}{100^2})[/tex] help ASAP
Answer
(1-1/2 2)= 3/4 <Exact Form> 0.75<Decimal Form>
1-(1)/(100^(2) = 9999/10000 <Exact Form> 0.9999 <Decimal Form>
Step-by-step explanation:
Hope this Helps! The Crystaline Gamerz on YT! Bye! please sub
==================================================
Explanation:
Each term multiplied out is of the form 1 - 1/(k^2) which we can write as 1^2 - (1/k)^2
Note we have something in the form a^2 - b^2 with a = 1 and b = 1/k
So
a^2 - b^2 = (a-b)(a+b)
1^2 - (1/k)^2 = (1 - 1/k)(1 + 1/k)
1^2 - (1/k)^2 = [ (k - 1)/k ] * [ (k + 1)/k ]
----------------
Let P = [ (k - 1)/k ] * [ (k + 1)/k ] represent the kth term we are dealing with
Then let Q be the term just after term P, so it's the (k+1) term
To form term Q, replace every k with k+1
Q = [ (k+1 - 1)/(k+1) ] * [ (k+1 + 1)/(k+1) ]
Q = [ k/(k+1) ] * [ (k+2)/(k+1) ]
----------------
Let's multiply P and Q to find out what happens . See figure 1 in the attached images below.
As figure 1 shows, we see that the middle terms cancel out. This will happen when we multiply P*Q*R, where R is the term just after Q. Extend this idea out as far as you want and each time the middle terms will pair up and cancel.
All that's left are the first and last terms, which are
1 - 1/2 = 1/2
and
1 + 1/100 = 101/100
They multiply to 101/200
----------------
Figure 2 (also attached as an image) shows a longer way to do the problem. Basically I expanded out a bunch of terms to multiply, and then show how we have various terms pair up and cancel, in basically the same way as explained above. What's left are the first and last terms 1/2 and 101/100 which multiply to 101/200.
At the grocery store, you can purchase lemons at 2 for $0.99. you can also buy a bag of 6 lemons for $2.50. Which is the better buy?
Answer:
The 6 lemons for 2.50 is the better deal.
Step-by-step explanation:
2*3=6
3*0.99=2.97
2.97>2.50
Could I please have some help?
Answer:
1,910
Step-by-step explanation:
8 x 6 = 48 x 4 = 192 x 10 = 1,920 now 1,920 minus 10 = 1,910
i guess..but good luck
Answer:
144mi^2
Step-by-step explanation:
The first step would be to find the top and bottom of the shape which are two triangles.
The way you find the area of a triangle is
[tex]A= \frac{L*W}{2}[/tex]
The length is 6 and the width is 8 so you can plug in the numbers
[tex]A=\frac{6*8}{2}[/tex]
Then multiply 6 by 8
[tex]A=\frac{48}{2}[/tex]
And divide by two
[tex]A=24[/tex]
because there are two identical triangles, multiply 24 by 2 to get 48.
The two triangles make 48mi
Now you must find the area of all the rectangles on the sides separately.
The way to find the area of a rectangle is
[tex]A=L*W[/tex]
You must do one at a time, first, I will so the side with a length of 4 and width of 10
[tex]A=4*10[/tex]
Multiply 4 by 10 to get
[tex]A=40[/tex]
One of the rectangles has the area of 40mi
Now you must find the area of the other rectangles with the same formula. I will be doing the one with a length of 4 and a width of 8 next
[tex]A=4*8[/tex]
Multiply 4 by 8 to get
[tex]A=32[/tex]
The area of the second rectangle is 32mi
Finally, you want to find the area of the last rectangle that has a length of 4 and a width of 6. We will be using the same formula again
[tex]A=4*6[/tex]
Multiply 4 by 6 to get
[tex]A=24[/tex]
The area of the last rectangle is 24mi
The last step is to add all the areas together to get the surface area of the figure.
First the two triangles, then the first rectangle, the second, and finally the third.
[tex]SA = 48+40+32+24[/tex] (SA is surface area)
Once you add them all, you get
[tex]SA=144[/tex]
So the Surface area of the whole figure is 144mi^2
Hope this helps!
Feel free to ask any other questions if you have any.
Have a good day! :)
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
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
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:
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
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.
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!!