Answer:
x = -4, y = 3
Step-by-step explanation:
1. Substitute 2x + 11 for y:
5x + 2(2x + 11) = -14
2. Simplify:
2(2x) = 4x
4x + 5x = 9x, 2(11) = 22
so,
9x + 22 = -14
3. Isolate x:
9x + 22-22 = -14-22 = 9x -36
9x/9 = -36/9
x = -4
4. Plug in the value of x in to solve for y:
y = 2(-4) + 11
y = 3
hope this helps!
pls help me to answer this
Answers:
Sample Variance = 31.03
Sample Standard Deviation = 5.57
See the table below.
===================================================
Explanation:
M refers to the midpoint of each interval. The midpoint is [tex]M = \frac{a+b}{2}[/tex] where a,b are the left and right endpoints.
For example, [tex]M = \frac{0+4}{2} = \frac{4}{2} = 2[/tex] in the first row.
Multiply the frequency with the midpoint to get the third column. Summing this column of values leads to 4+49+180+153+154 = 540 shown at the bottom of that column.
Divide this sum over the sum of the frequencies (2+7+15+9+7 = 40) and we arrive at [tex]\overline{x} = \frac{540}{40} = 13.5[/tex] which is the sample mean xbar.
--------------------------------------------------------------------------
After we determine xbar, we subtract it from each value of M. Then we square the result to get [tex](M - \overline{x})^2[/tex]. Multiply that with the column f to get the new column [tex]f(M-\overline{x})^2[/tex].
This column is added to arrive at 1210 shown in the table below. Divide this over the sum of the frequencies minus 1. So we divide by n-1 = 40-1 = 39 to get roughly 31.03
This is the sample variance.
The square root of this is sqrt(31.03) = 5.57 and this is the approximate sample standard deviation.
PLEASE HELP Solve the right triangle.
Round your answers to the nearest tenth.
g(n)=−50−15ng, left parenthesis, n, right parenthesis, equals, minus, 50, minus, 15, n Complete the recursive formula of g(n)g(n)g, left parenthesis, n, right parenthesis. g(1)=g(1)=g, left parenthesis, 1, right parenthesis, equals
Answer:
g(n) = g(n-1) -15
g(1) = -65
Step-by-step explanation:
We can find the recursive formula from the explicit formula for this arithmetic sequence by substituting 1 and (n+1) for n in the explicit formula.
__
g(n+1) = -50 -15(n+1) = (-50 -15n) -15 . . . . . find g(n+1)
g(n+1) = g(n) -15
and ...
g(1) = -50 -15(1) = -65
Then the recursive formula can ge written as ...
g(n) = g(n-1) -15
g(1) = -65
_____
Additional comment
We found g(n+1) = g(n) -15. Substituting n-1 for n in this formula puts it in the form we need for answering the question:
g((n-1)+1) = g(n-1) -15
g(n) = g(n -1) -15
Either of these forms tells you how to get the next term from the previous one.
Answer:
g(n) = g(n-1) -15
g(1) = -65
Step-by-step explanation:
answer on khan
Factor 25x^2-64
(5x+8)(5x-8)
(5x-8)^2
(5x+8)(-5x-8)
(-5x+8)(5x-8)
Answer:
Given Equation
[tex] \bf \: 25 {x}^{2} - 64[/tex]
we have to factorise the given equation .
We will use the following identity here
(a²- b²) = (a + b) ( a - b)Let's factorise it
[tex]\sf \longrightarrow \: 25 {x}^{2} - 64 \\ \\ \\ \sf \longrightarrow \: {5x}^{2} - {8}^{2} \\ \\ \\ \sf \longrightarrow \:(5x + 8)(5x - 8)[/tex]
Therefore,
Required answer is ( 5x+8)(5x-8)So, your answer is (5x+8) ( 5x-8)
!!20 points and Brainliest please help!!!
Which of the following could be factored by grouping?
A) ab + ad - ac + ae
B) ac + ad + bc - bd
C) ab + cd – ab + cd
D) ac + ad + bc + bd
D) ac + ad + bc + bd
Hope it helps :)
Answer:
D) ac + ad + bc + bd
Step-by-step explanation:
100 PTS!!A dilation with a scale factor of 4 is applied to the three line segments shown. The resulting images are P’Q’ and A’B’ and M’N’.
Drag and drop the measure to correctly match the lights of the images.
P’Q’ ->
A’B’->
M’N->
Choices: 0.375cm, 0.5cm, 0.75cm, 6cm, 8cm, 12cm.
Answer:
P'Q' ⇔ 8 cm
A'B' ⇔ 6 cm
M'N' ⇔ 12 cm
Step-by-step explanation:
A dilation with a scale factor of 4 is applied to the three line segments PQ, AB and MN.
The length of PQ is given as: 2 cm.
The length of line segment AB is given as: 1.5 cm
The length of line segment MN is given as: 3 cm.
Now as there is a dilation with a scale factor of 4 to all the line segments this means that the resulting image will have length 4 times the length of these line segments.
PQ → P'Q'
⇒ Length of P'Q'= 8 cm. ( since 4×2=8)
AB → A'B'
⇒ Length of A'B'= 6 cm. ( since 1.5×4=6)
MN → M'N'
⇒ Length of M'N'= 12 cm. ( since 4×3=12)
Hence,
P'Q' ⇔ 8 cm
A'B' ⇔ 6 cm
M'N' ⇔ 12 cm
As no points are shown so only steps can be provided to solve
So if A(x,y) is dilated by scale factor 4 then 4 is multiplied with A(x,y)
So new coordinates are (4x,4y)
So
if length of segment was x then after dilation new length is 4x
Find the volume and surface area of this combined figure.
The volume and surface area of the composite shape are 575.6cm³ and 518.1cm² respectively
How to calculate the volume and surface area of composite shapesComposite shapes are the combination of two or more shapes combined together.
The composite shape given is made up of a hemisphere and a cone
Volume of the composite shape = 2/3πr³ + 1/3πr²h
Volume of the composite shape = 1/3πr²(2r+h)
Volume of the composite shape = 1/3(3.14)(5)²(2(5)+12)
Volume of the composite shape = 1/3(3.14)(5)²(22)
Volume of the composite shape = 575.6cm³
Hence the volume of the composite shape is 575.6cm³
Calculate the surface area
Surface area = πr(r+l) + 3π r²
Surface area = 3.14(5)(13+5) + 3(3.14)(25)
Surface area = 282.6 + 235.5 = 518.1 square cm
Hence the surface area of the composite figure is 518.1 square cm
PLS HELP ME ILL GIVE YOU BRAINIEST
Suppose n represents the number of multiple-choice questions answered correctly on a 20-question test, The function f(n) represents the points earned on the test, where each question is worth 5 points with no partial credit.
a) Define the function f(n).
b) What is an appropriate domain?
c) What is the range?
Answer:
A)Let's let M = the number of Multiple choice problems and
N = the number of essay questions.
B)Also, since there are 36 questions altogether, we can say that
M + N = 36
So, therefore
M = 36 - N
Step-by-step explanation:
Hope this helped I couldn’t get C very confusing.
ABC is a right triangle. Find the length of AD.
A. 12 units
B. 2.83 units
C. 7 units
D. There is not enough information to determine the length of AD.
Answer: A
Step-by-step explanation:
Find the value of Y. Pleasee hellpp meeee
Answer:
y=30
Step-by-step explanation:
it equals 30 because 2y+y=90. So now you know 3y=90. divide both sides by 3 so you can isolate the y. 90/3=30.
I have 90 because of the right angle. That is a 90-degree angle.
six bags of flour and 4 bags of sugar weighs 64 pounds 8 bags of flour weigh 64. all bags of flour weigh the same and all bags of sugar weigh the same. what is the ratio of one bag of flour to one bag of sugar ?
Answer:
the ratio of one bag of flour is 8
i will marke brainliest. what is If 1=3
2=3
3=5
4=4
5=4
Then, 6=?
Heres a hint think about how many words are in the number when it is in word form
Answer:
3Step-by-step explanation:
Count the number of letters
1 = one ⇒ 3 letters2 = two ⇒ 3 letters3 = three ⇒ 5 letters4 = four ⇒ 4 letters5 = five ⇒ 4 letters6 = six ⇒ 3 lettersChange integers to strings and put them
1=one=32=two=33=three=54=four=45=five=36=six=37=seven=5Hence answer is 3
What is the equation of the line that passes through (4, -1)
and has a slope of -5?
A y = -5x + 19
B y = -5x + 21
C y = -5x - 19
D y = -5x – 21
Answer:
Step-by-step explanation:
answer: y = -5 + 19
We can use the point-slope formula to find an equation to solve this problem. The point-slope formula states: (y−y1)=m(x−x1)
Where m is the slope and (x1y1) is a point the line passes through.
Susbtituting the slope and values from the point from the problem gives:
(y−−1)=−5(x−4)
(y+1)=−5(x−4)
We can also solve this for the slope-intercept form. The slope-intercept form of a linear equation is: y=mx+b
Where m is the slope and b is the y-intercept value.
Substitute the slope from the problem for m and the values of the point from the problem for x and y and solve for b:
−1=(−5⋅4)+b
−1=−20+b
20−1=20−20+b
19=0+b
19=b
We can substitute for m and b in the formula to find the equation:
y=−5x+19
multiply (2a+3)(2a-3)
Answer:
4a²-9
Step-by-step explanation:
(2a+3)(2a-3) = (2a)²-3² {Difference of two squares}
= 4a²-9
what is the rectangular form of the parametric equations x = 4 cos t and y = 5 sint, where
Let's use some identities to help us solve
[tex]x = 4 cos(t)\\\frac{x}{4} =cos(t)\\\\y = 5sin(t)\\\frac{y}{5} =sin(t)[/tex]
We know --> [tex]sin^2(t)+cos^2(t) = 1[/tex]
So:
[tex]\frac{y^2}{5^2} +\frac{x^2}{4^2}=1\\ \frac{x^2}{16} +\frac{y^2}{25} =1[/tex]
Thus the choice is the second choice
An equation is formed of two equal expressions. The correct option is B.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Given two of the equations which can be rewritten as shown below,
x = 4 cos(t)
x/4 = cos(t)
Squaring both sides of the equation,
x²/16 = cos²(t)
y = 5 sin(t)
y/5 = sin(t)
Squaring both sides of the equation,
y²/25 = sin(t)
y²/25 = sin²(t)
Adding the two of the given equations we will get,
(x²/16) + (y²/25) = cos²(t) + sin²(t)
(x²/16) + (y²/25) = 1, this is because cos²(x) + sin²(x) = 1
The rectangular form of the parametric equations x=4cos(t)and y=5sin(t) is (x²/16) + (y²/25) = 1.
Learn more about Equation:
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What is the answer to this math problem?
Answer:
7
Step-by-step explanation:
[tex]\dfrac{9 + 5}{2} \\\\\\= \dfrac{14}{2} \\\\\\= \dfrac{2 \times 7}{2} \\\\\\= \dfrac{7}{2 \div 2} \\\\\\= \dfrac{7}{1} \\\\\\= 7[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{9+5}{2}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{14}{2}[/tex]
[tex]\\ \rm\Rrightarrow 14\div 2[/tex]
[tex]\\ \rm\Rrightarrow 7[/tex]
Done!
Zaire is making granola bars. For one batch of bars, the recipe calls for 1 2/3 cups of rolled oats and ½ cup of raisins. What is the combined amount, in cups of rolled oats and raisins, used in one batch of granola bars?
Answer:
13/6
No explanation sorry :(
Help me please I would really appreciate it
Adjacent angles in parallelograms are supplementary angles thus :
[tex]x + 130 = 180[/tex]
[tex]x = 180 - 130[/tex]
[tex]x = 50[/tex]
A store sells a package of 8 water bottles for $7.20.
What is the price per water bottle?
Answer:
$0.90
Step-by-step explanation:
$7.20 divided by 8 is 0.9.
Answer:
.90
8 divided by 7.20 is 1.11
1.11 times 7.20 = 8
Step-by-step explanation:
Given the speeds of each runner below, determine who runs the fastest.
\text{Frank runs 9 feet per second.}
Frank runs 9 feet per second.
\text{Tony runs 299 feet in 34 seconds.}
Tony runs 299 feet in 34 seconds.
\text{Zach runs 1 mile in 396 seconds.}
Zach runs 1 mile in 396 seconds.
\text{Will runs 675 feet in 1 minute.}
Will runs 675 feet in 1 minute.
Zach runs with 14.31 feet per second speed and faster than other runners.
What is Speed?Speed is measured as the ratio of distance to the time in which the distance was covered
Given that Frank runs 9 feet per second.
Speed=Distance /time
=9 feet/ 1 second
=9 feet per second.
Tony runs 299 feet in 34 seconds
Speed=299/34
=8.794 feet per second.
Zach runs 1 mile in 396 seconds.
We know that 1 mile =5280 feet
Speed=5280/369
=14.31 feet per second.
Will runs 675 feet in 1 minute
1 minute is 60 seconds
Speed=675/60
=11.25 feet per second.
Hence, Zach runs with 14.31 feet per second speed and faster than other runners.
To learn more on Speed click:
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Is 336 − –5,083 positive or negative?
Answer:
positive
Step-by-step explanation:
if you subtract a negative number, it’s the same as adding a positive number. If you add 2 positive numbers, you get a positive number, so the expression is positive.
What is the magnitude and direction of RS with tail and head points R(4, -6) and S(-2, 1)?
9.2 units, 49.4° north of west
10.4 units, 40.6° north of west
9.2 units, 49.4° south of east
10.4 units, 40.6° south of east
Using vector concepts, it is found that the correct option regarding the magnitude and the tail is given by:
9.2 units, 49.4° north of west
How do we find the vector, and what is it's magnitude?To find them, we subtract the end coordinate by the start coordinate, hence:
RS = S - R = (-2, 1) - (4,-6) = (-6,7).
The magnitude is given by the square root of the sum of the squares of each coordinate, hence:
[tex]|RS| = \sqrt{(-6)^2 + 7^2} = \sqrt{85} = 9.2[/tex]
Considering a xy graph, the vector is decaying, that is, moving north of west, hence the correct option is:
9.2 units, 49.4° north of west
More can be learned about vectors at brainly.com/question/24606590
find the area with 4cm, 8cm, 16cm
Answer:
u cant find the area if you dont add a picture or say if the cm is the width or the lenth.
L BOZO
Step-by-step explanation:
Answer:
PLEASE ADD PICTURE OR NOT ANSWER!
Step-by-step explanation:
We don’t know the problem. Pls apply it.
Estimate
10
12
−
3
8
using benchmark values. Your equation must show the estimate for each fraction and for the solution.
Answer:
Step-by-step explanation:
Pls give brainlest if right.
10/20-3/6 ?
How do solve a system of equations
Answer:
you have 3 way which one you want comparison supstitution or the third one
pls help due today :( 26 points promise
A line has a rise of 3 and a run of 12. What is the slope?
O 1/3
O 4
O 1/4
A restaurant sells chicken nuggets in 6-piece and 9-piece cartons. in one day they sell a total of 162 nuggets in 23 cartons. how many of each size carton did the restaurant sell?
What is the interest rate if a principal of $572 earns $228.80 in interest in four years?
Answer:
the answer is 10% if it is simple interest you're talking about.