Answer:
Step-by-step explanation:
Given: 4X-3Y=17
so, 4x-17 = 3Y
=> Y = (4X-17)/3
Substituting the value in second equation, we get,
=> -78 + m(4x-17)/3 = 2
=>2+78 = m(4x-17)/3
=> 80*3 = m(4x-17)
=>m= 240/(4x-17)
Hope It Helps!!
How many complex and real roots are in the problem (x+10)^9.
Answer:
9 roots
Step-by-step explanation:
(x+10)^9 = 0
If you would multiply it out, the highest power is x^9 so the equation has 9 roots
Solving (x+10)^9 =0
Taking the 9th root of each sdie
x+10 = 0
x = -10
The root is -10 with multiplicity of 9
How do I get full marks. Please help ASAP
Answer:
So for the table , .3 + .1 + .25 + .35= 1.
and 10 green pins. read my explanation please cause i worked a lot on this.
Step-by-step explanation:
So first we add the probability of purple and gray getting picked.
.35 + .25= .6
And we know that the probability of green is 3 times yellow.
So. yellow can be x. and the equation would look like this.
3x + x +.6= 1
x equals .1, because 3x + x or 3(.1) + .1= .4
So, .3 + .1 + .25 + .35= 1.
This should be enough info to complete the table. Now b.)
So we know 14 purple pins... and the probability of that is .35
so if 14 = .35 what equals .25?
(I'm going to convert these decimals into percents for problem b until we get the answer, and then i'll make it back to a decimal form)
Okay, so
14= 35%
and that means .4 equals 1% or .01 probability
so now we times .4 to 25% to find out how many green pins are there.
.4 * 25= 10
So there are 10 green pins.
Consider the following expression and the simplified expression. Expression Simplified Expression 3 x squared + 5 y squared box + 3 box + 4 y squared + 6 9 x squared minus y squared + 9 Which terms could be in the boxes to make the expressions equivalent? Positive 6 x squared and Negative 6 y squared Positive 6 x squared and Negative 10 y squared Positive 9 x squared and Negative 10 y squared Positive 9 x squared and Negative 6 y squared
Answer:
The correct answer is:
[tex]+6x^{2}\\-9y^2[/tex]
Step-by-step explanation:
We are given the term:
[tex]3x^{2} +5y^{2} [\text{ \ }] +3 [\text{ \ }] +4y^{2} +6 = 9x^{2} -y^{2} +9[/tex]
We have to fill in to the empty spaces such that the above equation gets satisfied.
First of all, let us simplify the LHS (Left Hand Side):
[tex]3x^{2} +5y^{2} [\text{ \ }] +3 [\text{ \ }] +4y^{2} +6\\\Rightarrow 3x^{2} +5y^{2} +4y^{2} [\text{ \ }] [\text{ \ }] +6 +3\\\Rightarrow 3x^{2} +9y^{2} [\text{ \ }] [\text{ \ }] +9[/tex]
Now, let us equate the LHS and RHS (Right Hand Side):
[tex]\Rightarrow 3x^{2} +9y^{2} [\text{ \ }] [\text{ \ }] +9 = 9x^{2} -y^{2} +9[/tex]
Equating the coefficients of [tex]x^{2}\ and\ y^{2}[/tex] in LHS and RHS:
One box will have value = [tex]9x^{2} -3x^{2} =+6x^{2}[/tex]
Other box will have value = [tex]-y^{2} -9y^{2} =-10y^{2}[/tex]
The correct answer is:
[tex]+6x^{2}\\-9y^2[/tex]
So, if we fill the boxes with above values, the expression will be simplified as given.
Answer:
The correct answer is B. Positive 6 x squared and Negative 10 y squared
Step-by-step explanation:
The diagonal of a square is x units. What is the area of the square in terms of x? One-half x squared square units x squared square units 2x square units One-half x square units
Answer:
[tex]\frac{x^2}{2}[/tex] square units [one-half x squared square units]
Step-by-step explanation:
As shown in the diagram attached to this response,
Since a square has all sides equal, let the sides of the square be each of a units.
The area, A, of the square = a x a = a²
i.e
A = a² --------------(i)
Now,
The diagonal is x units such that applying Pythagoras rule gives;
x² = a² + a²
x² = 2a²
a² = [tex]\frac{x^2}{2}[/tex] ----------------(ii)
Substitute the value of a² in equation (ii) into equation (i) to get;
A = [tex]\frac{x^2}{2}[/tex]
Therefore, the area of the square is [tex]\frac{x^2}{2}[/tex] square units
Answer:
1/2x^2 square units
Step-by-step explanation:
A rectangular prism has a length of 4.2 cm, a width of 5.8 cm, and a height of 9.6 cm. A similar prism has a length of 14.7 cm, a width of 20.3 cm, and a height of 33.6 cm. The dimensions of the smaller prism are each multiplied by what factor to produce the corresponding dimensions of the larger prism? 3 4 4 5
Answer: 3.5
Step-by-step explanation:
Given: Dimensions of larger prism = length of 4.2 cm, a width of 5.8 cm, and a height of 9.6 cm.
Dimensions of smaller prism = length of 14.7 cm, a width of 20.3 cm, and a height of 33.6 cm.
Scale factor = [tex]\dfrac{\text{Size of image}}{\text{Size of original figure}}[/tex]
Since, smaller figure is the original figure and the bigger one is the image.
So, scale factor = [tex]\dfrac{14.7}{4.2}=3.5[/tex] [Taking lengths
Hence, the factor to produce the corresponding dimensions of the larger prism = 3.5
Answer:
A
Step-by-step explanation:
Evaluate the following expression (-3)^-2
It is approximately equal to 0.1111
=================================
To get this answer, we use the rule
[tex]x^{-k} = \frac{1}{x^k}[/tex]
The negative exponent tells us to apply the reciprocal to get the exponent to be positive.
So,
[tex](-3)^{-2} = \frac{1}{(-3)^2}\\\\(-3)^{-2} = \frac{1}{9}[/tex]
Squaring -3 means you square the negative as well
[tex](-3)^2 = (-3)*(-3) = 9[/tex]
Answer:
1/9
Step-by-step explanation:
(-3)^-2 would be better written as (-3)^(-2).
1
(-3)^(-2) would be easier to evaluate if written as -------------
(-3)^2
The final answer is 1/9.
Brainiest answer will be selected if it is a reasonable and (correct answer) please i need it now ty brainly users :P
What is the weight (in grams) of a liquid that exactly fills a 465 milliliter container if the density of the liquid is 0.982grams over milliliter? Round to the nearest hundredth when necessary and only enter numerical values, which can include a decimal point.
Answer: 456.63 grams
Step-by-step explanation:
First, we know that we have 465 mL of a liquid. Secondly, we know each mL of the liquid = 0.982 grams. Thus, we can simply multiply 465*0.982 to get 456.63.
Hope it helps <3
The weight in grams of the liquid in a container is required.
The weight in grams of the liquid in the container is 456.63 grams.
Densitym = Mass of liquid in container
V = Volume of liquid in container = 465 milliliter
[tex]\rho[/tex] = Density of liquid in container = 0.982 grams over milliliter
The relationship between mass, density and volume is given by
[tex]m=\rho V\\\Rightarrow m=0.982\times 465\\\Rightarrow m=456.63\ \text{grams}[/tex]
Learn more about density:
https://brainly.com/question/6838128
efore the overtime rule in a football league was changed, among 400 overtime games, 194 were won by the team that won the coin toss at the beginning of overtime. Using a 0.10 significance level, use the sign test to test the claim that the coin toss is fair in the sense that neither team has an advantage by winning it. Does the coin toss appear to be fair?4
Answer:
The coin toss does not appear to be fair
Step-by-step explanation:
From the question we are told that
The sample size is [tex]n = 400[/tex]
The number of game won by team that won the coin toss at the beginning of overtime [tex]x = 194[/tex]
The level of significance is [tex]\alpha = 0.10[/tex]
The population proportion is evaluated as
[tex]p = \frac{194}{400}[/tex]
[tex]p = 0.485[/tex]
Since the population proportion is 0.485 [tex]\approx[/tex] 0.5 which implies that the coin toss is fair then
The Null hypothesis is
[tex]H_o : p = 0.485[/tex]
and The Alternative hypothesis is
[tex]H_a : p \ne 0.485[/tex]
The test statistics is evaluated as follows
[tex]t = \frac{[x + p] - [\frac{n}{2} ]}{\frac{\sqrt{n} }{2} }[/tex]
substituting values
[tex]t = \frac{[194 + 0.485] - [\frac{400}{2} ]}{\frac{\sqrt{400} }{2} }[/tex]
[tex]t = -0.5515[/tex]
=> [tex]|t| = 0.5515[/tex]
now the critical value of [tex]\alpha[/tex] for a two tail test(it is two tailed because we are test whether the critical value is less than or greater than the test statistics ) is
[tex]t_{\alpha } = 1.645[/tex]
This is usually found from the critical value table
Now comparing the critical values and the calculated test statistics we see that the critical value is greater than the test statistics hence the Null hypothesis is rejected
This means that the coin toss is not fair
what is the volume of a cone with a radius of 4 cm and a height of 5 cm help
Answer:
83.80 cm³
Step-by-step explanation:
volume of cone=
[tex] \frac{1}{3} \pi {r}^{2} h[/tex]
1/3×22/7×4×4×5=1760/21= 83.80 cm³
please helpppppp please help please hellpppp
Imagine you are standing near a large rectangular pool and your friend asks you how far you think it is from one corner of the pool to the other, the long (diagonal) way. Explain how you could calculate that length (without getting wet) by only measuring the length and width of the pool. Then, make up a length and width (ex. 3 ft. by 4ft... etc.)... and perform the calculations to get the diagonal!
Answer:
See explanation below.
Step-by-step explanation:
A right triangle is a triangle that has a right angle (90º). In math, the Pythagorean theorem allows us to calculate the length of the sides of a right triangle.
In a right triangle, the legs are the two sides that meet at the 90º angle and the hypotenuse is the side that opposes the right angle. The Pythagorean Theorem tells us that the square of the hypotenuse equals the sum of the squares of the legs. In other words: [tex]c^2 =a^2 +b^2[/tex] where c is the hypotenuse and a and b are the legs.
Now, we can use this formula to calculate the diagonal of the pool if we just have the length and the width (these would be the legs of the triangle). We need to measure both the length and the width and then square both of them and sum up the squares: this would give us the square of the diagonal so we will only need to find its quadratic root and we will have the length of the diagonal.
For example, let's say we have a pool that is 3 ft by 4ft, using the formula we have:
[tex]Diagonal^2=3^2 +4^2 \\Diagonal^2 = 9+16\\Diagonal^2 = 25\\Diagonal = \sqrt{25} \\Diagonal =5[/tex]
Therefore, in this case the diagonal would be 5 ft long.
Answer:
a
Step-by-step explanation:
WILL GET BRAINLISET AND EXTRA POINTS Which is the approximate solution for the system of equations 8 x minus 10 y = negative 23 and 9 x + 10 y = negative 16? (–2.3, 0.5) (–2.5, 1) (–2.3, –0.5) (–2.5, –1)
Answer:
(-2.3, 0.5)
Step-by-step explanation:
Step 1: Write out systems of equations
8x - 10y = -23
9x + 10y = -16
Step 2: Elimination (add the 2 equations together)
17x = -39
x = -39/17 = -2.29412 ≈ -2.3
Step 3: Plug in x to find y
8(-39/17) - 10y = -23
-312/17 - 10y = -23
-10y = -79/17
y = 79/170 = 0.464706 ≈ 0.5
Answer:
(-2.3, 0.5)
Step-by-step explanation:
Step 1: Write out systems of equations
8x - 10y = -23
9x + 10y = -16
Step 2: Elimination (add the 2 equations together)
17x = -39
x = -39/17 = -2.29412 ≈ -2.3
Step 3: Plug in x to find y
8(-39/17) - 10y = -23
-312/17 - 10y = -23
-10y = -79/17
y = 79/170 = 0.464706 ≈ 0.5
Step-by-step explanation:
The proportional relationship between the cost and duration of a phone call is shown in the following
Which statement about the graph are true
Answer:
None of the above
Step-by-step explanation:
the x coordinate tells us the duration, and the y-coordinate tells us the total cost of a phone call. The y coordinate of point aA represents the total cost of an 8 minutes phone call. not 8 phone calls. point a tells us that the cost is $2 for an 8-minute phone call, so the cost per minute is 2/8=$0.25, not $0.3.
Hope this helps!
weekly wages at a certain factory are normally distributed with a mean of $400 and a standard deviation of $50. find the probability that a worker selected at random makes between $350 and $400.
Answer:
0.34134
Step-by-step explanation:
In other to solve for this question, we would be using the z score formula
z = (x - μ) / σ
x = raw score
μ = mean
σ = Standard deviation
We are told in the question to find the probability that a worker selected at random makes between $350 and $400
let x1 = 350 and x2= 400 with the mean μ = 400 and standard deviation σ = $50.
z1 = (x1 - μ) / σ = (350-400) / 50 = -1
z2 = (x2 - μ) / σ = (400 - 400) / 50 = (0/50) = 0
From tables, P(z <= -1) = 0.15866
P(z <= 0) = 0.5
Then, the probability would give us, P(-1 ≤ z ≤ 0) =0.5 - 0.15866 =
0.34134
Hence, The probability that a worker selected at random makes between $350 and $400 = 0.34134
Answer:
34%
Step-by-step explanation:
Acellus sux
Find the area and the perimeter of the shaded regions below. Give your answer as a completely simplified exact value in terms of π (no approximations). The figures below are based on semicircles or quarter circles and problems b), c), and d) are involving portions of a square.
Answer:
Area of shaded part = 41.09733550
Perimeter of shaded part = 35.82011867
Step-by-step explanation:
Area of shaded part = ((πr^2) 4) - (bh ÷ 2)
Area of shaded part = ((π(12)^2) ÷ 4) - ((12)(12) ÷ 2)
Area of shaded part = (452.3893421 ÷ 4) - (144 ÷ 2)
Area of shaded part = (113.0973355) - (72)
Area of shaded part = 41.09733550
Perimeter of shadedpart:
AC = √a^2 + b^2
AC = √12^2 + 12^2
AC = √144 + 144
AC = √288
AC = 16.97056275
Perimeter of whole circle ÷ 4:
C=2πr
C=2π(12)
C=75.39822369
C ÷ 4 = 75.39822369 ÷ 4
C ÷ 4 = 18.84955592
Perimeter of shaded part:
18.84955592 + 16.97056275 = 35.82011867
A manufacturing machine has two processes. One of them is repeated 4 times and the second only once. The entire cycle can take no longer than 3 mins. Which graph represent the overall equation represented by this scenario
The graph is attached. :D
Hope I helped you! The graph calculator is desmos. You can use it for these types of questions.
Stay safe and God bless!
- eli <3
Answer: for the whole test
1. C: x + y ≤ 8
2. C: third graph
3. A: first graph
4. D: fourth graph
5. D: last graph
6. D:0.85x + 1.29y < 5
7. B:6
8. B:3.2x + 0.8y ≤ 50
9. A: first graph
10. D: last graph
Step-by-step explanation:
how because i got an 100%
7. A football field is a rectangle 48 m wide and 91 m long. The coach asks players to run
diagonally across the field. How far did the players run? Draw a diagram and show your work.
Round your answer to the nearest tenth. (2 marks)
answer please please
Answer:
102.88m
Step-by-step explanation:
draw a rectangle and draw a diagonal line from each corner down. You will get 2 right triangles. The height is 91 and the base is 48
[tex]\sqrt{91^2+48^2}= 102..88[/tex]
Can you please help me -3x-y=6
Answer:
(0,-6), (-2,0)
Step-by-step explanation:
-3x-y=6
-y=6+3x
y=-3x-6
when x=0, y=-6
when y=0 x=-2
jane will run less than 32 miles this week. So far she has run 19 miles. what are the possible numbers of additional miles she will run ?use t for the number of additional miles she will run.
Answer:
Jane will run more than 30 miles this week, as thus far she ran 22.
Step-by-step explanation:
X + 22>30
X>8
She runs more than 8 miles.
Answer:
Well, it depends.
Step-by-step explanation:
In the problem, it doesn't specify if the miles she runs is a positive integer or not, but I will assume that it is.
There are number of miles: 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, and 31.
So t = 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, and 31
Which of these shapes is congruent to the given shape?
A.
B.
C.
D.
E.
Answer:
C
Step-by-step explanation:
Most of the times C is the answer on a test
Answer:
its D
Step-by-step explanation:
brainly tests
Translate the following into an expression m% of n
Answer:
mn/100
Step-by-step explanation:
m% of n = m/100×n
= mn/100
what is the result of dividing 48a^3 + 32a^2 + 16a by 4a? A. 12a^2 + 8a + 4 B. 12a^2 + 4a + 8 C. 12a + 8 D. 12a^2 + 4a + 4 Simplify (2x-2y)(2y+8)=? A. 4xy-4y^2 B. 4xy-16x-4y^2-16y C. 4xy+16x-4y^2-16y D. 4xy+16x+4y^2+16y Simplify (-8q^3r^4s^2)^2=? A. 64q^9r^16s^4 B. -64q^6r^8s^4 C. 64q^6r^8s^4 D. -64q^9r^16s^4 What is the result if you divide -12x^8y^8 by 3x^4y^2? A. -4x^4y^6 B. 4x^2y^4 C. 4x^4y^6 D. -4x^2y^4
Answer:
1. A. 12a^2 + 8a + 4
2. C. 4xy+16x-4y^2-16y
3. C. 64q^6r^8s^4
4. A. -4x^4y^6
Step-by-step explanation:
48a^3 + 32a^2 + 16a / 4a = (48a^3) / 4a + (32a^2) / 4a + (16a) / 4a = 12a^2 + 8a + 4.
So, the answer is A. 12a^2 + 8a + 4.
(2x-2y)(2y+8) = 4xy - 4y^2 + 16x - 16y.
So, the answer is C. 4xy+16x-4y^2-16y.
(-8q^3 * r^4 * s^2)^2 = (-8)^2 * q^6 * r^8 * s^4 = 64q^6r^8s^4.
So, the answer is C. 64q^6r^8s^4.
-12x^8y^8 / 3x^4y^2 = (-12 / 3) * (x^(8 - 4)) * (y^(8 - 2)) = -4x^4y^6.
So, the answer is A. -4x^4y^6.
Hope this helps!
what is the range of the function f(x)= -(x+3)^2+7
Answer:
thats the answer to rhjs problem
The sum of the digits of a two-digit number is 7 .When the digits are interchanged the reversed number is five times the tens digit of the original number find the original number .
frnds pls help me
I want answer with full process pls help me
pls frnds do it fast pls help me
Answer:
Original number is 52.
Step-by-step explanation:
1) Two digit number xy,
it can be written as 10x + y.
2) The sum of the digits of a two-digit number is 7.
x + y = 7
3) The digits are interchanged the reversed number is yx,
the new number can be written as 10y + x.
4) The original number is 10x + y, so the tens digit of the original number is x.
5) Five times the tens digit of the original number is 5*x.
6) The reversed number is five times the tens digit of the original number:
10y + x = 5*x
7) We have system of two equations
x + y = 7 ----> x = 7 - y
10y + x = 5*x ---> 10y - 4x = 0
10y - 4x = 0
10y - 4(7 - y) =0
10y - 28 + 4y = 0
14y = 28
y = 2
x = 7 - y = 7 - 2 = 5
x = 5
Original number is 52.
New number 25.
Check:
Original number is 52, the tens digit is 5.
The reversed number (25) is five times the tens digit of the original number find the original number .
25 = 5*5 True
n is an integer.
Write the values of n such that -15 < 3 < 6
Answer:
Step-by-step explanation:
n could be : -14, -13, -12... -1, 0 , 1, 2, 3 ,4,5
3) Equation 3 should represent a parabola that is a vertical stretch of the parent function and has a y-intercept greater than 3 and opens down. Equation 3:___________________________________________________________________ What strategy are you using to solve this equation and why? ______________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________ Show your work and solution for solving this equation:
Answer:
The answer is given below
Step-by-step explanation:
The equation of a quadratic function is given by:
ax² + bx + c where a, b and c are the coefficients of the quadratic equation. The value of a determines whether the graph opens up or down (if a is positive opens up and if a is negative opes down), the value of c determines the y intercept (if c is positive, we have a positive intercept and if c is negative the intercept is negative).
The chosen equation is -x² -4x + 5. Since it has y-intercept of 5 and opens down (coefficient of x² is -1)
Let us assume a vertical stretch of 4, the new equation becomes:
4(-x² -4x + 5)
-4x² - 16x + 20
-4x² - 16x + 20 = 0
a = -4, b = -16 and c = 20
Using the quadratic formula:
[tex]x=\frac{-b \pm \sqrt{b^2-4ac} }{2a}\\ x=\frac{-(-16) \pm \sqrt{(-16)^2-4(-4)(20)} }{2(-4)}=\frac{16 \pm 24}{-8} \\x= -5 \ or \ x=1[/tex]
The local store where Tim shops charges a 7% sales tax for clothing. Complete the table by figuring the cost of the jeans after sales tax is applied. The first row has been done for you.
Answer:
[tex]A=P+P\times S\%[/tex]
Step-by-step explanation:
For calculating the sales tax of a product, it is required to first multiply the original cost price of the product by the sales tax percentage.
Once the sales tax has been computed add it to the original cost price in order to determine the total cost of the product.
The formula of final amount is:
[tex]A=P+P\times S\%[/tex]
Here,
A = final amount
P = original cost price
S = sales tax percentage
Answer:
1.$25.68
2.$51.36
3. 77.04
Step-by-step explanation:
I just took the test.
Determine which is NOT an arithmetic sequence
2.4.8.16
O -7,0.7.14
O 0..5.1.1.5
O 10.6.2.-2
Answer:
1st option
2,4,8,16
Step-by-step explanation:
1st option is not an Arithmetic sequence, it is geometric sequence. Because, the common ratio is 2
the 2nd option has a common difference of 7, so it is arithmetic
the 3rd option has a common difference of 0.5, so it is arithmetic
and 4th option has a common difference of -4. so it is arithmetic
The area of a circle is 81pi in.squared. What is the circumference, in inches? Express your answer in terms of pi
Answer:
18π
Step-by-step explanation:
the area of a circle is :
A= r²*π where r is the radius
here r² =81⇒ r= 9
the circumference of a circle is :
P= 2*r*π
P= 18π
Answer:
18 pi inches
Step-by-step explanation:
The area of a circle is given by
A = pi r^2
81 pi = pi r^2
Divide by pi
81 = r^2
Take the square root of each side
sqrt(81) = sqrt (r^2)
9 = r
We want the circumference
C = 2 * pi * r
C = 2 * pi * 9
C = 18 pi
Sylvia, John, and Peter invested their savings in a bank. The ratio of the investment of Sylvia’s to John's is 1: 3 and that of John’s to Peter’s is 4: 5.
What is the investment ratio of Sylvia : John : Peter ?
Answer:
The ratio is 4:12:15.
Step-by-step explanation:
we need to make the first ratio (Sylvia's to John's) comparable to second one (John's to Peter's). Since John is in both ratios, we use his number to make it the same. 3 and 4 can both be multiplied into 12. So, multiply the first ratio by 4 and the second by 3.
[tex](1:3) * 4 = 4:12\\(4:5) * 3 = 12:15[/tex]
Put it together, and you get 4:12:15.
Hope it helps :P