Answer:
x = 6/1.1
Step-by-step explanation:
hello :
1,331x^3 -216=0 means : x^3 = 216/1.331
x^3 = (6^3)/(1.1)^3 because : 216 = 6^3 and 1.331 = (1.1)^3
so : x^3 = (6/1.1)^3
x = 6/1.1
write an equation in point-slope form for the line throught the given slope (8,3);m=6
Answer: [tex]y - 3 = 6 (x - 8 )[/tex]
Step-by-step explanation:
The equation of line in point slope form is given as :
[tex]y - y_{1} = m ( x - x_{1} )[/tex]
[tex]x_{1}[/tex] = 8
[tex]y_{1}[/tex] = 3
[tex]m = 6[/tex]
substituting into the formula , we have :
[tex]y - 3 = 6 (x - 8 )[/tex]
When graphed, which function would appear to be shifted 5 units up from the graph of f(x)=x^2+3?
Answer:
f(x)=x^2+8
Step-by-step explanation:
To move a function upwards, you need to shift the function up the y axis. The function intersects the y axis at 3, so you need to add 5 to 3 to shift the graph up 5 units. I hope this helps you!
Find the 9th term in a geometric sequence whose common ration is 1/3 and first term is 6
Answer:
Therefore 9th term of the geometric sequence is [tex]\frac{2}{2187}[/tex]
Step-by-step explanation:
Given first term(a) = 6
and common ratio = [tex]\frac{1}{3}[/tex]
[tex]T_n= ar^{n-1}[/tex]
[tex]\therefore T_9=ar^{9-1}[/tex]
[tex]\Leftrightarrow T_9=a r^8[/tex]
[tex]\Leftrightarrow T_9=6\times ( \frac{1}{3}) ^8[/tex]
[tex]\Leftrightarrow T_9=\frac{2}{2187}[/tex]
Therefore 9th term of the geometric sequence is [tex]\frac{2}{2187}[/tex]
What is the measure of BC
Enter your answer in the box.
Answer:
Angle BDC is an inscribed angle.
The inscribed angle equals one half of the intercepted arc.
Therefore, the intercepted arc equals 130 degrees.
Step-by-step explanation:
The measure of BC should be 130 degrees.
Given information:The angle of d is 65 degrees:
Calculation of measure of BC:Since angle of D is 65
So, the BC should be doubled i.e. 130 degrees.
Learn more about the circle here: https://brainly.com/question/14337527
Fill in the blanks to make the solution correct.
3 3/4-_* _/8=2
what is the answer to
feet
=
8.5
meter?
Answer:
27.8871 feet
Step-by-step explanation:
1 meter ≅ 3.28084
You need to multiply the meters by 3.28084 to get the answer in feet.
So, 8.5 * 3.28084 ≅ 27.8871
At grocery store, the price of a watermelon is determined by how many pounds the watermelon weighs. The price of the watermelon that weighs 7.3 pounds is $4.38. Write an equation that can be used to determine the price, p. in dollars, of any watermelon based on the number of pounds, w, the watermelon weighs.
Determine the cost of a watermelon that weighs 8.5 pounds.
please help with this question
Answer:
7.3 divided by 4.38
Step-by-step explanation:
The graph of the quadratic function y = x2 is shown below. If this parabola is reflected about the x-axis, what is the new equation of the quadratic function?
The graph of the quadratic function y = x2 is shown below. If this parabola is reflected about the x-axis, what is the new equation of the quadratic function?
Select one:
A. y=−x2−1
B. y=10x2
C. y=−x2
D. y=−(x−1)2
Answer:
Option C. [tex]y=-x^2[/tex]
Step-by-step explanation:
we know that
We can reflect the graph of any function f(x) about the x-axis by graphing y=-f(x)
so
The rule of the reflection of a function f(x) across the x-axis is
(x,f(x)) ------> (x,-f(x))
In this problem we have
[tex]f(x)=x^{2}[/tex]
Applying the rule of the reflection across the x-axis
[tex](x,x^2) ----> (x,-x^2)[/tex]
therefore
The new equation of the quadratic function is
[tex]y=-x^2[/tex]
Is 1/8 -10(3/4-3/8x) + 5/8x equivalent to -1/8(59 -35X)
Yes, The expression [tex]\frac{1}{8} -10(\frac{3}{4}-\frac{3}{8}x)+\frac{5}{8} x[/tex] is equivalent to [tex]-\frac{1}{8} (59-35x)[/tex]
Explanation:
The given expression is [tex]\frac{1}{8} -10(\frac{3}{4}-\frac{3}{8}x)+\frac{5}{8} x[/tex]
Solving, we get,
[tex]\frac{1}{8} -\frac{30}{4}+\frac{30}{8}x+\frac{5}{8} x[/tex]
Adding the similar terms, we have,
[tex](\frac{1}{8} -\frac{30}{4})+(\frac{30}{8}x+\frac{5}{8} x)\\[/tex]
[tex]\frac{1-60}{8} +\frac{35}{8}x[/tex]
Adding, we get,
[tex]-\frac{59}{8} +\frac{35}{8}x[/tex]
Taking out the common term [tex]-\frac{1}{8}[/tex] , we have,
[tex]-\frac{1}{8} (59-35x)[/tex]
Thus, the expression [tex]\frac{1}{8} -10(\frac{3}{4}-\frac{3}{8}x)+\frac{5}{8} x[/tex] is equivalent to [tex]-\frac{1}{8} (59-35x)[/tex]
6(8x^2-25x-28)
Please factor fully
Answer:
6(8x +7)(x -4)
Step-by-step explanation:
6(8x^2 -25x -28) = 6(8x^2 -32x +7x -28) . . . . rewrite the middle term
= 6(8x(x -4) +7(x -4)) . . . . factor by grouping
= 6(8x +7)(x -4)
_____
To rewrite the middle term, you are looking for factors of (8)(-28) that have a sum of -25. The sum will be odd only if one of the factors is odd. The only odd factor in the product is 7, so we choose (8)(-28) = (7)(-32). Those two factors, 7 and -32, have a sum of -25, so those are the ones we used.
i need help PLEASE!!!!
Answer:
The answer is 11
Step-by-step explanation:
Solve this -2 (v + 3) + 6v
Answer:4v+3
Step-by-step explanation:
-2v+3+6v
-2+6=4
HELP ! PLEASE
examine the system of equations.
The solution is [tex](x=\frac{-7}{2},\ y=\frac{-13}{2} )[/tex].
Solution:
Given system of equations are
[tex]-3 x+y=4[/tex] ---------- (1)
[tex]-9 x+5 y=-1[/tex] ---------- (2)
To solve the given system of equations by substitution method.
Let us take the equation (1) and find the value of y.
(1) ⇒ [tex]-3 x+y=4[/tex]
Add 3x on both sides of the equation, we get
⇒ [tex]y=4+3x[/tex]
Substitute y = 4 + 3x in equation (2), we get
[tex]-9 x+5 (4+3x)=-1[/tex]
[tex]-9 x+20+15x=-1[/tex]
Combine like terms together.
[tex]-9 x+15x=-1-20[/tex]
[tex]6x=-21[/tex]
Divide by 6 on both sides of the equation.
[tex]$x=-\frac{21}{6}[/tex]
Divide the numerator and denominator by the common factor 3.
[tex]$x=-\frac{21\div3}{6\div3}[/tex]
[tex]$x=-\frac{7}{2}[/tex]
Now, substitute x value in y = 4 + 3x, we get
[tex]$y=4+3\left(\frac{-7}{2} \right)[/tex]
[tex]$y=4+\left(\frac{-21}{2} \right)[/tex]
Take LCM of the denominators and make the same.
[tex]$y=\frac{8}{2} +\frac{-21}{2}[/tex]
[tex]$y=\frac{-13}{2}[/tex]
Hence the solution is [tex](x=\frac{-7}{2},\ y=\frac{-13}{2} )[/tex].
A slice is made perpendicular to the base of a right rectangular prism, as shown. What is the area of the resulting two-dimensional cross-section? Drag and drop the answer into the box.
Answer: [tex]A=280\ in^2[/tex]
Step-by-step explanation:
The missing figure is attached.As you can observe in the figure attached, when the slice is made perpendicular to the base of the right rectangular prism, the resulting two-dimensional cross-section is a Rectangle.
By definition, the area of a rectangle can be calculated with this formula:
[tex]A=lw[/tex]
Where "l" is the length of the rectangle and "w" is the width.
In this case, looking at the figure attached, you can identify that the length and the width of the rectangle are:
[tex]l=20\ in\\w=14\ in[/tex]
Now, knowing these values, you can substitute them into the formula:
[tex]A=(20\ in)(14\ in)[/tex]
Finally, you must evaluate in order to find area of this rectangle. You get that its area is the following:
[tex]A=280\ in^2[/tex]
Answer:
A which is 280mm
Step-by-step explanation:
(8x+5)+(4x-3) what is that equal to
Answer:
12x + 2
Step-by-step explanation:
To find what the expression equals, you can collect like terms. This means to do the operations (add or subtract) the numbers that have the same variables.
(8x + 5) + (4x - 3) Remove brackets to add a binomial (2-term brackets)
= 8x + 5 + 4x - 3 Collect like terms
= 8x + 4x + 5 - 3 I rearranged so you can see which terms are alike
= 12x + 5 - 3 Collected like terms with "x" (8x + 4x = 12x)
= 12x + 2 Collected like terms with no variables (5 - 3 = 2)
Therefore (8x + 5) + (4x - 3) is equal to 12x + 2.
If you want, you can also find another equal expression by factoring. Since "12x" and "2" are both divisible by the factor 2, you can take it out and put the other numbers in a bracket.
12x + 2
= 2(12x/2 + 2/2)
= 2(6x + 1) This is equal, but in factored form.
Answer:
12x+2
Step-by-step explanation:
8x+4x=12x
5-3=2
12x+2
Mick jogs a total distance of 1/2 mile. He counts 5 marker posts that are equally spaced along his jog. What is the distance, in miles, between each marker post? Write and solve an equation
Answer: [tex]\frac{1}{10} miles=0.1 miles[/tex]
Step-by-step explanation:
If the total distance [tex]D[/tex] Mick jogged is divided among five posts, we can write the following relation to find the distance [tex]x[/tex] between each post:
[tex]x=\frac{D}{5}[/tex]
Where [tex]D=\frac{1}{2} mile[/tex]
Then:
[tex]x=\frac{\frac{1}{2} mile}{5}[/tex]
[tex]x=\frac{1}{10} miles=0.1 miles[/tex] This is the distance between each marker post.
What two numbers multiplies to -4 and adds to 3?
Answer:
-1 and 4
Step-by-step explanation:
multiply -1 and 4 to get -4.
-1 x 4 = -4
add 4 to -1 to get (positive) 3.
-1 + 4 = 3
hope this helps :)
What is six lots of five
Answer:
6 lots of 5 means 6×5=30
Step-by-step explanation:
Answer:
Multiplication - When we multiply we find 'lots of'
6 lots of 5 = 30
6×5=30
Solve f(-7) for f(x) = 17 – X
Answer:
f(-7) = 24
Step-by-step explanation:
Step 1: Identify the Function
f(x) = 17 - x is the function
Step 2: Set x to -7 in the function
f(-7) = 17 - (-7)
f(-7) = 17 + 7
f(-7) = 24
Answer: f(-7) = 24
What is the next fraction in this sequence? Simplify your answer.
2/3 1/3 1/6 1/12
Answer:
1/24
Step-by-step explanation:
As you go fraction to the next fraction you divide by 2.
2/3 divided by 2 = 1/3
1/3 divided by 2 = 1/6
the rule is "divide by 2"
Final answer:
The next fraction in the sequence is 1/24, found by continuing the pattern of halving each successive fraction.
Explanation:
To determine the next fraction in the sequence 2/3, 1/3, 1/6, 1/12, we observe a pattern. The second fraction is half of the first, the third is half of the second, and the fourth is half of the third. By continuing this pattern, to find the next fraction, we need to take half of the last fraction in the sequence.
To solve the more difficult problem, multiply the numerator and denominator by a skillfully chosen factor: 1/2. For the fraction 1/12, we multiply both the numerator (1) and the denominator (12) by 1/2 to get our next fraction:
Numerator: 1 imes 1/2 = 1/2Denominator: 12 imes 1/2 = 6Therefore, the next fraction in the sequence is 1/2 divided by 6 which simplifies to 1/24.
Please show work for both problems
Answer:
1) x = 25 2) x = 23; m∠CBD = 80 degrees
Step-by-step explanation:
1) 5x + 15 = 6x - 10 Set both equations equal to each other
- 5x - 5x Subtract 5x from both sides
15 = x - 10
+ 10 + 10 Add 10 to both sides
25 = x
2) 2x + 14 + x + 7 = 90 Set the equations equal to 90
3x + 21 = 90 Combine like terms
- 21 - 21 Subtract 21 on both sides
3x = 69 Divide both sides by 3
x = 23
Plug 23 into the equation
2(23) + 14 = 60
a rabbit can move 1 2/3 miles every hour, then how many hours would it take for a rabbit to go 5miles?
Answer: 5 hours
Step-by-step explanation: 5 hours because 7/5 *5/1=35/5 and 35 divided by 5 equals 7
Let f(x)=2x-8 and g(x)=x+9. Find f(g(x)) and g(f(x))
Step-by-step explanation:
Given,
f(x) = 2x - 8 and g(x) = x + 9
To find, the values of f(g(x)) and g(f(x)) = ?
f(x) = 2x - 8
∴ f(g(x)) = 2(g(x)) - 8
= 2(x + 9) - 8
= 2x + 18 - 8
= 2x + 10
Also,
g(x) = x + 9
g(f(x)) = f(x) + 9
= 2x - 8 + 9
= 2x + 1
∴ f(g(x)) = 2x + 10 and g(f(x)) = 2x + 1
Enter the value for x that makes the equation 1/2(4x-8)+3x=36 true
Answer:
the correct answer for x is 8
Step-by-step explanation:
since: 1/2 ((4) (8) - 8) + (3) (8) = 36
The correct value for x that makes the equation true is 8.
To solve the equation [tex]\( \frac{1}{2}(4x-8)+3x=36 \)[/tex], follow these steps:
1. Distribute the [tex]\( \frac{1}{2} \)[/tex] to both terms inside the parentheses:
[tex]\[ \frac{1}{2} \cdot 4x - \frac{1}{2} \cdot 8 + 3x = 36 \][/tex]
2. Simplify the equation by multiplying:
[tex]\[ 2x - 4 + 3x = 36 \][/tex]
3. Combine like terms:
[tex]\[ 5x - 4 = 36 \][/tex]
4. Add 4 to both sides of the equation to isolate the term with x:
[tex]\[ 5x = 36 + 4 \][/tex]
[tex]\[ 5x = 40 \][/tex]
5. Divide both sides by 5 to solve for x:
[tex]\[ x = \frac{40}{5} \][/tex]
[tex]\[ x = 8 \][/tex]
what is the mathematical name of this shape please tell me ASAP. ( I will give brainliest )
Answer:
its a triangle
Step-by-step explanation:
3 sides
Answer:
the shape is known as a triangle
The thomas family drinks 524.2 ounces of water each week. About how many ounces of water will they drink in 5 weeks?
Answer:
2621
Step-by-step explanation:
We know how much they drink in 1 week, now we need to know how many they drink in 5 weeks.
To do so, multiply how much they drink in 1 week by 5 to get the value for 5 weeks.
524.2*5=2621
8m²n³-24m²n²+4m³n
how do I factor out the GCF
Answer:
[tex]8 {m}^{2} {n}^{3} - 24 {m}^{2} {n}^{2} + 4 {m}^{3}n = 4 {m}^{2} n(2 {n}^{2} - 6n + m)[/tex]
Step-by-step explanation:
The given expresion is
[tex]8 {m}^{2} {n}^{3} - 24 {m}^{2} {n}^{2} + 4 {m}^{3}n[/tex]
Observe that 4 is common to 8,-24, and 4
Observe also that, m²n is common to all the terms.
Hence the GCF is:4m²n
We factor the GCF to get;
[tex]8 {m}^{2} {n}^{3} - 24 {m}^{2} {n}^{2} + 4 {m}^{3}n = 4 {m}^{2} n(2 {n}^{2} - 6n + m)[/tex]
ABCD is a rectangle. Two circles are drawn inside ABCD such that the circles are tangent at point G. E is the tangent point of the first circle and AB, and F is the tangent point of the second circle and BC, as shown. Find m∠EGF.
Answer:135 degrees
Step-by-step explanation: Pretend that the 2 circles are equal, and connect the lines that form the angle. You can draw a right triangle on the circle that is on the right, connecting 2 radii to form it. Then, because the two radii are of equal length, you know that it is a 45-45-90 triangle. Then draw a line that is from the top line and connect in to G. That line is perpendicular, so 45 degrees plus 90 degrees is 135 degrees. I hope this helps!
Find the value of x
A. 18
B. 27
C. 50
D. 40
Answer:
the sum interior angles of a triangleis equal to 180
so (x + 13) +(x +23) + 90 = 180
2x + 36 + 90 = 180
2x = 180 - 126
2x = 54
x = 27
If possible, factor 100 − 121y2.
Answer:
(10 + 11y)(10 - 11y)
Step-by-step explanation:
100 - 121y²
This is a special factoring called difference of squares. Since both of the numbers in the subtraction expression are perfect squares, we can use this rule:
a² - b² = (√a² - √b²)(√a² + √b²)
Take the square root of each number. Add them in one bracket, subtract them in the other bracket.
(10 + 11y)(10 - 11y)
100 is a perfect square because its square root is a whole number.
√100 = 10
121y² is a perfect square because its square root is a whole number, and its variable is squared.
√121 = 11
√y² = y
Answer:
(10 + 11y)(10 - 11y)
Step-by-step explanation:
difference of squares :)