Answer:
50x⁴ - 20x² + 1 = 01. Quadratic form
50(x²)² - 20x² + 1 = 02. U is
x² = u3. U- substitution
50u² - 20u + 1 = 04. Find the discriminant and identify roots
d = (-20)² - 4*1*50 = 200u = (20 ± √200)/100u = (2 ± √2)/10Solve for x
x² = (2 ± √2)/10x = ± √((2 ± √2)/10), four rootsFind the error & explain why it is wrong: Megan wanted to solve this problem: given that sin 0=-divided2/2, and cos =divided3/2, find tan 0
What did she do wrong
Answer:
As seen on the picture, all the steps A to D are correct.
Step A. Identity is correctStep B. The fraction is correctStep C. Simplification is correctStep D. Solution is correctNote:
It could be more simplified by adding a step and multiplying both the numerator and denominator by √3: [tex]\frac{-\sqrt{2} }{\sqrt{3} } = - \frac{\sqrt{6}}{3}[/tex]On a map, the scale is 1 inch = 125 miles. What is the actual distance between the two cities if the map distance is 2 3/4 inches?
Answer:
343.75 miles
Step-by-step explanation:
2.75 * 125 = 343.75
Perform the operation.
(4x^2 + 6x + 7) - (-8x^2 – 2x + 6)
[tex]12 {x}^{2} + 8x + 1[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex](4 {x}^{2} + 6x + 7) - ( - 8 {x}^{2} - 2x + 6) \\ = 4 {x}^{2} + 6x + 7 + 8 {x}^{2} + 2x - 6 \\ = 4 {x}^{2} + 8 {x}^{2} + 6x + 2x + 7 - 6 \\ = 12 {x}^{2} + 8x + 1[/tex]
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
f(x)=3x2−12x+5, what would be the axis of symmetry for this function?
Answer:
x=2 is the axis of symmetry
Step-by-step explanation:
Find X in the given figures.
Find the center and radius of a circle with the equation x² + y2 +6x–8y +16= 0.
a. (-3, 4);r=3
b. (3,-4);r=3
c. (-3, 4);r=9
d. (3,-4);r=9
WILL GIVE BRAINLIEST IF ANSWERED CORRECTLY
Answer:
A) 13.4 feet
Step-by-step explanation:
You need to use the Pythagorean theorem:
L = [tex]\sqrt{6^2+12^2}[/tex] = 13,4 feet
What is the value of x in this figure?
10
O 5
o 5V2
30°
103
O
X
o 513
18
19 20 21
22 23 24 25 26
Answer:
5√3
Step-by-step explanation:
Thanks to the given information we can say that the smallest leg is 5 because the triangle is half of an equaliteral one.
for the same reason we can say that x is 5√3 that is the simplest from of the result of the Pytaghorean theorem
Do you put the x or y axis first
Answer:
x hope this helped you a lot
Write a proportion. What is x in the image above
Answer:
X IS A WORD TE-PAHADI
Step-by-step explanation:
Answer:
proportion: 6/8 = 3/x
x = 4
Step-by-step explanation:
6/8 = 3/x
6/2 = 3
8/2 = x
8/2 = 4
x = 4
What is the equation of the circle with a diameter whose endpoints are (-3,-9) and (-7,1)?
Answer:
12
Step-by-step explanation:
Answer:
( x + 5 )² + ( y + 4 )² = 29
Step-by-step explanation:
Equation of the circle is
( x - h )² + ( y - k )² = r²
( h, k ) are coordinates of the center
~~~~~~~~~~~~~~~~~~~~~
Coordinates of the center of the circle are
( [tex]\frac{-3-7}{2}[/tex] , [tex]\frac{-9+1}{2}[/tex] ) = ( - 5 , - 4 )
d = 2√29 ⇒ r = √29
( x + 5 )² + ( y + 4 )² = 29
2
Cameron has 6 pounds of pears.
A roasted-pears recipe requires
13 pounds of pears.
How many batches can he make?
Number sentence:
Solution:
Answer:
0.4 batches
Step-by-step explanation:
6 / 13 = 0.4
The average number of games a player has appeared in the 2021 NBL games as of now is about 40 games
with a standard deviation of 10 games. Determine what percent of players have appeared in 45-56 games,
write as a percent with two decimal places.
Please help this is for a project: The stimulus check is a one time $1,200 pay out and the unemployment check is $600 per week
for a maximum of 16 weeks. Make an equation that can be used to find y, the amount of money in your
account after x number of weeks of getting unemployment checks.
Can b an x be greater than 16? What is a mathematical way to show that?
Explain how making a table helps to compare two or more sets of data that have been presented in different ways.
Answer:
By easing the ranking and colerration of the data
Answer: a table is an organized way of displaying data
all data in a table has the same format
you can see how output of a data set changes by looking at a column
you can compare outputs of different functions that have the same input by looking at rows
Step-by-step explanation: edge 2022
There is a prism with a pentagonal base the height is 8 cm the area of the pentagonal base is 30.5cm what is the volume of the prism
Answer:
244 cm³
Step-by-step explanation:
Step 1: Given data
Height of the prism with a pentagonal base (h): 8 cm
Area of the pentagonal base (A): 30.5 cm²
Step 2: Calculate the volume of the prism with a pentagonal base
We have a regular pentagonal prism, that is, the 5 sides of the base are equal and we know the area of the base and the height of the prism. We can calculate its volume using the following expression.
V = A × h
V = 30.5 cm² × 8 cm = 244 cm³
Simplify expression and can you explain how
Answer: 64r^36
Step-by-step explanation:
On picture below
you dont need to show work
Answer:
Q1. A. 209.8
Q2. B. 313.6
Q3. 448.22 (not in ur options)
Step-by-step explanation:
Multiply and divide the following fractions. Remember to invert the divisor and then multiply the fractions.
1/2 x 2/3
1 1/2 x3/4
4/4 x 7/6
3 divided by 1/2
2/3 divided by 1/2
Answer:
1/2 x 2/3 = 0 . 3
1 1/2 x3/4 = 1. 125
4/4 x 7/6 = 1 . 27
3 divided by 1/2 = 6
2/3 divided by 1/2 = 1. 3
Step-by-step explanation:
1/2 x 2/3
= 0.33333333333
= 0 .3
1 1/2 x3/4
= 1.125
4/4 x 7/6
= 1.16666666667
= 1.27
3 divided by 1/2
= 6
2/3 divided by 1 / 2
= 1.33333333333
= 1. 3
Hope this answer helps you :)
Have a great day
Mark brainliest
Answer:
1. 5/6
2. 5/8
3. 29/44
4. 3/8
5. 2/15
6. 0.3
7. 1.125
8. 1.27
9. 6
10. 1.3
11. 345,000
12. 128,000
13. 42
14. 40
15. $365.47 and $365
16. $125.66 and $126.
Step-by-step explanation:
5/8 + 3/4
_______
-2/3 - 5/6
Answer:
- 11/12
Step-by-step explanation:
5/8 + 3/4
_______ x 24/24
-2/3 - 5/6
15+18
= ______
-16-20
33
= _____
-36
= - 11/12
HELPPPPP PLEASEEE!!!!
Answer:
X= - 3
Step-by-step explanation:
Multiply both sides by 2 to remove the division on the LHS
3X - 15=8X
Move 3X to the RHS
-15 =8X - 3X
-15= 5X
Divide both sides by 5
-3 =X
[tex]\boxed{c.\:x\:=\:-3}[/tex] ✅
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex] \frac{3x - 15}{2} = 4x \\ ⇢ 3x - 15 = 4x \times 2 \\ ⇢ 3x - 15 = 8x \\ ⇢ 3x - 8x = 15 \\ ⇢ - 5x = 15 \\ ⇢ x = \frac{15}{ - 5} \\ ⇢ x = - 3[/tex]
[tex]{ \bf{ \underbrace{To\:verify :}}}[/tex]
[tex] \frac{3x - 15}{2} = 4x \\ ⇢ \frac{3 \times (- 3) - 15 }{2} = 4 \times - 3 \\ ⇢ \frac{ - 9 - 15}{2} = - 12 \\ ⇢ \frac{ - 24}{2} = - 12 \\ ⇢ - 12 = - 12 \\ ⇢ L.H.S.=R. H. S[/tex]
Hence verified.
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]
The ratio of the number of laps Tonya swam last week to the number of laps Randy swam last week is 3:10. If Randy swam 84 MORE laps last week, how many did Tonya swim?
Answer:
The number of laps Tonya swam last week were:
36 laps.Step-by-step explanation:
To understand the ratio, you must know that 3:10 means that each time Tonya swam 3 laps, Randy swam 10 laps, by this reason, to identify the total number of laps you can divide the total difference given in the exercise (84 laps) into the difference indicated by the ratio (10 - 3 = 7 laps):
84 / 7 = 12This number obtained is the number of times the ratio had to be met so that the difference in laps swam was 84. Now, you must multiply the obtained value (12) by the number of laps from Tonya given in the ratio (3):
Tonya's total number of laps = 12 * 3Tonya's total number of laps = 36 lapsAs you can see, with the calculates, we obtained 36 laps in total. You could also do the iterations 12 times, subtracting the number of turns given by Tonya from the number of turns made by Randy and you would get the same result:
10 - 3 = 720 - 6 = 1430 - 9 = 2140 - 12 = 2850 - 15 = 3560 - 18 = 4270 - 21 = 4980 - 24 = 5690 - 27 = 63100 - 30 = 70110 - 33 = 77120 - 36 = 84In a right triangle, if the length of the hypotenuse is 10 and the length of one of the other sides is 6, what is the length of the third side? (Simplify Answer)
Answer:
8
Step-by-step explanation:
10^2=100 6^2=36 100-36=64 sqrt64=8
Jan spent 34 hours doing homework last week. She spent
54 hours doing homework this week. How many more
hours did Jan spend on homework this week than last
week?
a. 14 hour
b. 1 hour
c. 14 hours
d. 11 hours
Please show work, help me please,
Answer:
377
Step-by-step explanation:
f(x) = 3* 2^(x+2) -7
Let x=5
f(x) = 3* 2^(5+2) -7
Parentheses first
f(x) = 3* 2^(7) -7
Then exponents
f(x) = 3* 128 -7
Then multiply
f(x) = 384 -7
Then subtract
f(x) = 377
Answer:
377
Step-by-step explanation:
3×2^x+2 -7
plug in 5 for x
3×2^5+2 -7
3×2^7 -7
377
Is the question below a statistical question?
Do teachers make more money than nurses?
Yes or no please answer !!
Answer:
no
Step-by-step explanation:
Answer:
No
Step-by-step explanation:
-2x + 3y = 18. x = -y + 1
Answer:
D. X=-3, y=4
Step-by-step explanation:
-2x+3y=18 equation 1
x=-y+1 equation 2
-2(-y+1)+3y=18 replace x value of equation 2 into equation 1
2y-2+3y=18
5y=20
y=4
solve for x by replacing y value into either equation.
x=-y+1
x=-4+1
x=-3
Hal says the volume of the sphere shown below is 36 cm3. Find the correct volume, using 3.14 for π. Round to the nearest hundredth. What was Hal's likely error? Use the drop-down menus to explain your answer.
This question is incomplete
Complete Question
Hal says the volume of the sphere shown below is 36 cm³.Find the correct volume, using 3.14 for π. Round to the nearest hundredth. What was Hal's likely error? Use the drop-down menus to explain your answer.
Radius of the sphere = 3 cm
Answer:
a) The volume of the sphere = 113cm³
b) Hal's likely error was :
He used the wrong formula and did not make use of π = 3.14 in his calculation.
Step-by-step explanation:
a) The Volume of a Sphere = 4/3πr³
The radius of the sphere = 3cm
π = 3.14
The volume of the sphere = 4/3 × 3.14 × 3³
= 113.04 cm³
Approximately to the nearest hundredth = 113cm³.
b) Hal's likely error comes in two forms:
1) He used the wrong formula which is Surface area of the sphere(4πr²) in his calculation instead of the right formula which was the Volume of a Sphere(4/3πr³)
ii) Also he did not use π in his calculation.
This means Hal's calculation=
Surface Area of a Sphere = 4πr²
But Hal's used = 4r²
Where r = 3cm = 4 × (3cm)²= 36 cm³
This is wrong.
Matthew has 30 Starbursts. Twelve are yellow and the rest are red. What is the ratio of yellow starbursts to red?
Answer is 2:3.
~Refer to the attachment for the solution.
4. Elsa mixed 2 cups red paint with 1 cup blue paint to make purple paint. If she needs more purple
paint and uses 2 cups cup red paint, how much blue paint should she mix with it?