Answer:
x =4.155, x=− 5.655
x= - [tex]\frac{3-\sqrt{385} }{4}[/tex], - [tex]\frac{3+\sqrt{385} }{4}[/tex]
Step-by-step explanation:
2[tex]x^{2}[/tex] + 3x - 47 = 0
x= - [tex]\frac{3-\sqrt{385} }{4}[/tex], - [tex]\frac{3+\sqrt{385} }{4}[/tex]
OR
x =4.155, x=− 5.655
Answer:
[tex]x { }^{2} + y {}^{2} = 25[/tex]
answer this question
is this proportional, non-proportional, both or neither?
Answer:non proportional
Step-by-step explanation:
The circumference of a circle measures 22π units. Find the number of square units in the area of the circle. Express your answer in terms of π.
Answer:
A = 11²/{4π}
Step-by-step explanation:
The circumference equation is C = 2πr. Thus, r = C / (2π), and:
C² (22π)² 2²11²π² 11²
r² = ---------- so, if C = 22π units, r² = -------------- = ---------------- = -------------
(2π)² (2π)^4 (2π)²(2π)² (2π)²
11²π²
or r² = ---------------
The area equation for a circle is A = πr² which here is π·11²/(2π)²
This reduces to 11²/{4π}
Tyrone is making 52 cookies for a party. Some will be a pecan cookies and some will be honey ginger. The ratio pecans a honey ginger is 76. How many of each kind of cookie will he make
Complete Question
Tyrone is making 52 cookies for a party. Some will be a pecan cookies and some will be honey ginger. The ratio of pecans to a honey ginger is 7:6. How many of each kind of cookie will he make
Answer:
28 pecan cookies and 24 Honey ginger cookies
Step-by-step explanation:
From the above question
Pecans : Honey ginger = 7:6
Sum of Proportion = 7 + 16 = 13
Total number of cookies = 52
Number of pecans
= 7/13 × 52 = 28 pecans cookies
Number of Honey ginger
= 6/13 × 52 = 24 Honey ginger cookies
Therefore, we have:
28 pecan cookies and 24 Honey ginger cookies
(a) degree 4, 3 zeros, 3 turning points,
and negative leading coefficient
Step-by-step explanation:
Use this polynomial.
[tex] - x {}^{4} +9x {}^{3 } + 13 {x}^{2} - 45x - 50[/tex]
A degree 4 means our leading coefficient looks like.
[tex] {x}^{4} [/tex]
Since our degree is 4, our turning points would be 3.
Since we have three roots, we need two single roots and a double root.
A negative leading coefficient would have a negative sign in front of it.
Use another site to help graph the actual graph
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A projectile is fired vertically upward, and its height s(t) in feet after t seconds is given by the function s(t)=-16t^2+600t+800. After how many seconds, to the nearest tenth, will the projectile hit the ground?
Answer:
The projectile will hit the ground after 38.8 seconds.
Step-by-step explanation:
You know that the height s (t) in feet of the projectile after t seconds is given by the function
s(t) = - 16t² + 600t + 800.
To know the time at which the projectile will hit the ground, you must replace s(t) by height 0:
0=- 16t² + 600t + 800
This is a quadratic function of the form ax2 + bx + c, where a= -16, b=600 and c=800.
To solve a quadratic function, you must apply the expression:
[tex]x1,x2=\frac{-b+-\sqrt{b^{2}-4*a*c } }{2*a}[/tex]
In this case:
[tex]x1,x2=\frac{-600+-\sqrt{600^{2}-4*(-16)*800 } }{2*(-16)}[/tex]
Solving:
[tex]x1,x2=\frac{-600+-\sqrt{360000+51200 } }{-32}[/tex]
[tex]x1,x2=\frac{-600+-\sqrt{411200 } }{-32}[/tex]
[tex]x1,x2=\frac{-600+-641.25 }{-32}[/tex]
So:
[tex]x1=\frac{-600+641.25 }{-32}[/tex]
[tex]x1=\frac{41.25 }{-32}[/tex]
x1= -1.289 seconds
and
[tex]x2=\frac{-600-641.25 }{-32}[/tex]
[tex]x2=\frac{-1241.25 }{-32}[/tex]
x2= 38.789 ≅ 38.8 seconds
Time cannot be negative. So, the projectile will hit the ground after 38.8 seconds.
Chloe has enough sand to fill a sandbox with an extra area of 36 square units she wants the outer edge of the sandbox to use as little as Material possible
Answer:
[tex]Length = Width = 6\ units[/tex]
Step-by-step explanation:
Given
[tex]Area=36[/tex]
Required
The least possible material
Sandboxes usually, are rectangles or squares.
Using the above assumption, the area is calculated as:
[tex]Area= Length * Width[/tex]
[tex]Area= L* W[/tex]
[tex]L * W = 36[/tex]
Make L the subject
[tex]L = \frac{36}{W}[/tex]
The material of the outer edge is calculated by the perimeter.
[tex]Perimeter = 2 * (L +W)[/tex]
[tex]P = 2 * (L + W)[/tex]
Substitute [tex]L = \frac{36}{W}[/tex]
[tex]P = 2 * (\frac{36}{W} + W)[/tex]
Open bracket
[tex]P = \frac{72}{W} + 2W[/tex]
[tex]P = 72W^{-1} +2W[/tex]
To get the minimum material needed, we differentiate P
[tex]P' = -72W^{-2} + 2[/tex]
Set: [tex]P' = 0[/tex]
[tex]-72W^{-2} + 2 = 0[/tex]
Collect like terms
[tex]72W^{-2} = 2[/tex]
Divide both sides by 72
[tex]W^{-2} = \frac{2}{72}[/tex]
[tex]W^{-2} = \frac{1}{36}[/tex]
Rewrite as:
[tex]\frac{1}{W^2} = \frac{1}{36}[/tex]
Take positive square roots of both sides
[tex]\frac{1}{W} = \frac{1}{6}[/tex]
Cross multiply
[tex]W = 6[/tex]
Recall that: [tex]L = \frac{36}{W}[/tex]
So, we have:
[tex]L =\frac{36}{6}[/tex]
[tex]L = 6[/tex]
Hence, the dimension with the littlest material as possible is:
[tex]Length = Width = 6\ units[/tex]
What is the factored form of 12x²-48?
6 to the negative 4th power times 6 to the 7th power
Answer:
216
Step-by-step explanation:
(6 to the -4th) * (6 to the 7th)
❗️❗️❗️❗️❗️❗️❗️❗️❗️❗️❗️❗️❗️❗️❗️Pls hurry I’ll give brailiest ❗️❗️❗️❗️❗️❗️❗️❗️
Answer: 4 black marbles, 3 blue, 2 green, and one red.
Step-by-step explanation:
Determine if the product of 3/2and 8/18 is rational or irrational. Explain your answer.
Answer:
Step-by-step explanation:
h
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Find the loan-to-value ratio for a home appraised at $583,620.00 that the buyer will purchase for $585,000.00. The buyer plans to make a down payment of $175,000.00.
Step-by-step explanation:
Calculating your loan-to-value ratio
Current loan balance ÷ Current appraised value = LTV.
Example: You currently have a loan balance of $140,000 (you can find your loan balance on your monthly loan statement or online account). ...
$140,000 ÷ $200,000 = .70.
Current combined loan balance ÷ Current appraised value = CLTV.
Mr. Biker rides at 12 miles per hour. The equation y=12x represents this relationship, where x is the independent variable for time in hours and y is the dependent variable distance in miles. After 6 hours, how far has the biker gone in miles.
Answer:72 miles
Step-by-step explanation:
Guided Practice
Use inductive reasoning to describe the pattern. Then find the next two numbers in the pattern. 4, 6, 9, 13, . . .
A.
Add 2 to the first term, 3 to the second term and continue, adding 1 more each time; 18, 24.
B.
Add 2 to the previous term; 15, 17.
C.
Add 12 of the previous term; 19.5, 29.25
Answer:
A.
Explanation:
4 goes up 2 to 6. 6 goes up 3 to 9. 9 goes up 4 to 13. Therefore, you can expect 13 to go up 5 to 18, and 18 to go up by 6 to 24.
A group of students wants to find the diameter of the trunk of a young sequoia tree. The students wrap a rope around the tree trunk
Answer:
the length of the rope gives the circumference of the tree trunk. the tree trunk is in the shape of a circle. the circumference of a circle = πD. the inches would be converted to foot and the diameter would be determined from the length of the rope.
7 foot
Step-by-step explanation:
Here is the full question :
A group of students wants to find the diameter of the trunk of a young sequoia tree. The students wrap a rope around the tree trunk. the length is 21 feet 8 inches
Explain how they can use the length to determine the diameter of the tree trunk to the nearest half foot
What is the diameter of the tree trunk
the circumference of a circle = πD
π = 22/ 7
D = diameter
we need to convert 21 feet 8 inches to foot
1 inch = 0.0833333 foot
8 x 0.0833333 = 0.667
0.667 + 21 = 21.667 foot
21.667 = 22/7 x diameter
diameter = 21.667 x 7/22 = 6.89 foot
The nearest half foot of 6.89 is 7.
7 foot
When examining the formula of a function that is the result of multiple transformations, how can you tell a reflection with respect to the x-axis from a reflection with respect to the y-axis
Answer:
For a function f(x), a reflection across the y-axis is written as:
g(x) = f(-x)
While a reflection across the x-axis is written as:
g(x) = -f(x)
So, if the negative sign is outside the transformation, like in:
g(x) = -f(x + 2) - 8
We can conclude that this is a reflection over the x-axis.
While if the "x" inside the function has a negative sign, like in:
g(x) = 5*f(-x + 4) - 3
The reflection is over the y-axis.
anyone know this ???
Answer:
? = 13
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
?² = 5² + 12² = 25 + 144 = 169 ( take the square root of both sides )
? = [tex]\sqrt{169}[/tex] = 13
Answer:
13
Step-by-step explanation:
If we use the Pythagorean theorem we have
hypothenuse^2 = 12^2 + 5^2 = 144 + 25 = 169
hypothenuse = √169 = 13
hour friends earned more than $400
working at a stack stand. After
paying their parents $50 for
providing supplies, the friends
divided the remaining money equally
among themselves. Which inequality
could the friends have used to find
m, the amount of money each would
receive?
A 4m + 50 > 400
B 4+ 50m < 400
C 50m + 45 400
D 4m + 50 < 400
Answer:
the answer is D :)
Step-by-step explanation:
Investors buy a studio apartment for 140,000 of this amount they have a down payment of 28,000 their down payment is what percent of the purchase price what percent of the purchase price would a 63,000 down payment be
Answer:
a. 20%
b. 45%
Step-by-step explanation:
The total cost of the studio apartment is $140,000.
The down payment is $28,000.
Percentage of down payment to purchase price is:
= 28,000 / 140,000 * 100%
= 20%
b. Percentage of down payment of $63,000 to purchase price is:
= 63,000 / 140,000 * 100%
= 45%
Add: 8 yd 1 ft + 11 yo 2 ft
Answer:
19 yards 3 ft
60 ft
20 yards
A polygon is shown.
The area of polygon MNOPQR = Area of a rectangle that is 9 square units + Area of a rectangle that is ___ square units.
Answer:
Area of a rectangle that is 9 units² + Area of a rectangle that is 4 units²
Step-by-step explanation:
Line PQ is 1 unit because 3 units - 2 units = 1 unit
Line PO is 4 units because 7 units - 3 units = 4 units
1 unit × 4 units = 4 units²
4 units² + 9 units² = 13 units²
Answer:
adding an answer so the other guy can get brainlist!
Step-by-step explanation:
help help please answer this question and no link
The chorus at an elementary school is made up on fifth and sixth graders. This year, the chorus had 12 fifth-grade girls, 9 fifth-grade boys, 14 sixth-grade girls, and 10 sixth-grade boys.
Find the following ratios:
a. The ratio of boys to girls
b. The ratio of fifth graders to sixth graders
c. The ratio of girls to the total number of students in the chorus
Answer:
A. Ratio boys to girls ---> 19 : 26
B. Ratio of 5th grade to 6th grade ---> 21 : 24
C. Ratio of girls to total number of chorus students ---> 26 : 45
Step-by-step explanation:
A. the amount of boys is 9 + 10, the amount of girls is 12 + 26
B. the amount of 5th graders is 12 + 9, the amount of 6th graders is 14 + 10
C. the number of girls is 12 + 14, and the number of chorus students is 12+9+14+10
find the value of x.
55+5x degrees
Answer:
If 55 + 5x = 0 then x = -11
Step-by-step explanation:
To find x just get it by itself
55 + 5x = 0
subtract 5x
55 = -5x
then divide by -5
-11 = x
Determine whether each equation is correct. Select YES or NO for each equation.
1) yes or no
2) yes or no
3) yes or no
4) yes or no
Angles 4 and 5 are ….
Answer:
opposite angles
Step-by-step explanation:
A math game is played with 2 fair number cubes. A green cube is numbered 1 through 3, and each number is marked on 2 faces. A red cube has faces numbered 1 through 6. If both cubes are tossed, what is the probability of rolling a 3 on the green cube and a 6 on the red cube?
Answer:
1/9
Step-by-step explanation:
P(G3 and R6) = 2/6 x 2/6 = 1/9 simplified
Write a recursive formula for an, the nth term of the sequence 3, -1, -5, ....
Tn = a + (n-1) d
= 3 + (n-1) (-4)
= 3 -4n +4
= 7-4n
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Answer:
A
Step-by-step explanation:
I believe it is A If I remember correctly