Answer:
6
Step-by-step explanation:
One fourth is ÷4
24÷4=6
Answer:
6...? I don't know why you are doing first grade math again...
Step-by-step explanation:
Find the unit tangent vector at the given value of t for the following parameterized curves.
r(t)= ⟨7–√e^t,3e^t,3e^t⟩
, for 0≤t≤1
; t=ln 2
Answer:
[tex]T(ln2)[/tex][tex]= <\sqrt{145} , \frac{6\sqrt{2} }{\sqrt{145} } , \frac{6\sqrt{2} }{\sqrt{145} } >[/tex]
Step-by-step explanation:
Given : [tex]r(t)=<7-\sqrt{e^t}, 3e^t,3e^t > .........(i)[/tex]
We first have to differentiate of equation [tex](i)[/tex]
[tex]r'(t) = < \frac{\sqrt{e^t} }{2} , 3e^t,3e^t> ..........(ii)[/tex]
Now to get a unit tangent vector at the given value of [tex]t[/tex], we put [tex]t = ln2[/tex] in equation [tex](ii)[/tex]
[tex]r'(ln2) = < \frac{\sqrt{e^{ln2}} }{2} , 3e^{ln2},3e^{ln2}>[/tex]
[tex]= <\frac{1}{\sqrt{2} } ,6,6>[/tex] [∵[tex]e^{lna}=a[/tex]]
Now to get a unit tangent vector , we will divide our vector [tex]r'(ln2)[/tex] by its magnitude. So let's first find the magnitude.
[tex]|r'(ln2)|=\sqrt{(\frac{1}{\sqrt{2} } )^2 +6^2+6^2}[/tex]
[tex]= \sqrt{\frac{1}{2}+36+36 }[/tex]
[tex]= \sqrt{\frac{145}{2} }[/tex]
Now we can find the our unit tangents vector.
[tex]T(ln2)=\frac{r'(ln2)}{|r'(ln2)|}[/tex]
[tex]= \frac{<\frac{1}{\sqrt{2}} ,6,6> }{\sqrt{\frac{145}{2}} }[/tex]
[tex]= <\frac{\frac{1}{\sqrt{2} } }{\sqrt{\frac{145}{2}} } ,\frac{6}{{\sqrt{\frac{145}{2}} }}, \frac{6}{{\sqrt{\frac{145}{2}} }} >[/tex]
[tex]= <\sqrt{145} , \frac{6\sqrt{2} }{\sqrt{145} } , \frac{6\sqrt{2} }{\sqrt{145} } >[/tex]
Hence, [tex]T(ln2)[/tex] [tex]= <\sqrt{145} , \frac{6\sqrt{2} }{\sqrt{145} } , \frac{6\sqrt{2} }{\sqrt{145} } >[/tex]
Choose a missing numbers that make the following expression equivalent ____x + 14 and 7 ( 5 x + _____ )
Answer:
35x + 14 and 7(5x + 2)
Step-by-step explanation:
We have to find the missing values that would also make both expressions equivalent.
_x + 14 and 7(5x + _ )
In the expression, there are some similarities with the placement of the numbers and variables.
Let find the value of the number next to "x".
You can see that we have to use the distributive property to solve the right expression, and once we do so, we can find our first value.
Use the distributive property:
7(5x)
35x
Now we know that our first value is 35x.
To find our second value, we see that in the first equation it is "14", so we need a number that can be multiplied by 7 to make 14.
7 · 2 = 14
Our second number would be 2.
Your final answer would be: 35x + 14 and 7(5x + 2)
Once you use the distributive property for the second expression, you would get an equivalent expression as the first one.
Twins Isaac and Isaiah were just born. Isaac weighs 6 pounds 2 ounces and Isaiah weighs 5 pounds 4 ounces. How many ounces do Isaac and Isaiah weigh together?
find the slope thanks
Answer:
Hello! Just here so the other person can get brainliest. I will do the same for the other questions.
Step-by-step explanation:
an area of a rectangle city park is 1556 square miles the width of the park is 3/7 miles what is the length in miles of the park
Answer:
457
Step-by-step explanation:
value of 1556
explanion
I need help please!!!!
Answer:
A) intersecting, 1 solution
B) Same Line, infinite number of solutions.
The diagram shows two squares constructed on the sides of a rectangle. Write an expression for the area of Square C in terms of the areas of Square A and Rectangle B. Then simplify to find the area. (N RN.1.1-2 HELP PLSSS
Step-by-step explanation:
Since area of Square A = 7 ft²,
Side length of Square A = √7 ft.
Length of Rectangle B = √7 ft
Width of Rectangle B = 4/√7 ft
Hence Area of Square C
= (4)² / (√7)² ft² = 16/7 ft².
The area of Square C is the square of the height of the Rectangle B.
Correct responses:
[tex]\underline{Area \ of \ square \ C = \dfrac{\left(Area \ of \ Rectangle \ B \right)^2}{Area \ of \ Square \, A} }[/tex][tex]Area \ of \ square \ C = \underline{\dfrac{16}{7}} \, ft.^2[/tex]Methods used for finding the area of Square CThe given area of square A = 7 ft.²
The given area of rectangle, B = 4 ft.²
Let s represent the side length of square C and let S represent the side length of square A, we have;
Area of rectangle B = S × s = S·s
Area of square A = S × S = S²
Area of square C = s × s = s²
[tex]\mathbf{\dfrac{(Area \ of \ rectangle \ B)^2}{Area \ of \ square \ A } } = \dfrac{\left(S \cdot s \right)^2}{S^2} = \dfrac{S^2 \cdot s^2}{S^2} = s^2 = Area \ of \ square \ C[/tex]
Therefore, the expression for the area of Square C in terms of the area
of Square A and Rectangle B is presented as follows;
[tex]\underline{Area \ of \ Square \ C = \dfrac{ \left (Area \ of \ rectangle \ B \right)^2}{\left(Area \ of \ square \ A\right)}}[/tex]Which gives;
[tex]\underline{Area \ of \ square \ C = \dfrac{\left(4 \, ft.^2 \right)^2}{7 \, ft.^2}}[/tex]By simplification, we have;
[tex]\mathbf{\dfrac{\left(4 \, ft.^2 \right)^2}{7 \, ft.^2}} = \dfrac{16}{4} \, ft.^2[/tex]
[tex]Area \ of \ square \ C = \underline{ \dfrac{16}{7}} \, ft.^2[/tex]Learn more about squares and rectangles here:
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Im so close please help
You were correct on your guess, C. Circumcenter
May I have brainliest please? :)
what does 72 x ? = 300
Answer: 25/6
Step-by-step explanation:
Answer:
? = 4.1667
Step-by-step explanation:
300/72 = 4.1667
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
Which graph represents the solution to the system of inequalities?
{y<−4x+1
{y≥−14x
Answer:
1st graph on line 2
Step-by-step explanation:
Evaluate functions from their graph f(-5)=
Answer:
7
Step-by-step explanation:
(-5,7) lies in the graph!
The height of the tunnel at the center is 35ft, and the vertical clearance must be 21 ft at a point of 8ft from the center. Find an equation for the parabola.
INCLUDE WORK.
Answer:
y=-0.215x^2+35
Step by Step:
Let, [tex]h=0[/tex], [tex]k=35[/tex], [tex]x=8[/tex], [tex]y=21[/tex]
We know that, the general equation of the parabola.
[tex]y-k = a(x-h)^2[/tex]
[tex]\Rightarrow y=a(x-h)^2+k .........(i)[/tex]
Substitute the value of [tex]h, k, x, y[/tex] in equation [tex](i)[/tex] and find the value of [tex]a.[/tex]
[tex]21=a(8-0)^2+35[/tex]
[tex]\Rightarrow 21=a\times 8^2+35[/tex]
[tex]\Rightarrow 21=64a+35[/tex]
[tex]\Rightarrow 64a=21-35[/tex]
[tex]\Rightarrow 64a=-14[/tex]
[tex]\Rightarrow a=\frac{-14}{65}[/tex]
[tex]\Rightarrow a=-0.215[/tex]
Hence, the equation of the parabola is:
[tex]y=-0.215x^2+35[/tex]
Solve the inequality -2/9b>-12
Answer:
1/2
Step-by-step explanation:
A dental hygienist is a health-care professional who works alongside a dentist to meet the oral health care needs of patients. Asked by one of her clients who needs to get a cavity filled what the average number of cavities a person gets filled by the time they are 50 years old, the hygienist responds that she will gather and determine not just the average, but also the median and the mode - because she would like to know this information herself. A bit of research turns up the following data table taken from a research project of a graduate student. The graduate student surveyed 20 people aged 50 from around Idaho.
Patient ID# Cavities Filled
1 1
2 8
3 7
4 9
5 11
6 12
7 7
8 5
9 2
10 0
11 8
12 9
13 7
14 6
15 8
16 9
17 8
18 9
19 8
20 8
a. What is the mean (average) number of cavities a person gets filled by age 50?
b. What is the median number of cavities a person gets filled by age 50?
c. What is the most often an occurring number of cavities filled in this data set?
Answer:
a. The mean number of cavities a person gets filled by the age of 50 is 7.1.
b. The medium number of cavities a person gets filled by the age of 50 is 8.
c. The most occuring number of cavities filled in the data set is 8.
Plss answer
i will give brainliest
Answer:
sorry im doing a challenge but i will have someone answer it
Step-by-step explanation:
In the rectangle, find the length of AD.
Answer:
required answer is 9 of your question
Hw help please ASAP
+10PTS
Answer: i believe the answer is y=1/2x+4
Find the value of (x) in the triangle shown below.
need help with this
Answer:
1 ½% of x = 15
3/2 × x = 15
x = 15/1.5
x = 10
So
1½ 15
— = —
100 10
-4x + 12 = -6x
Step 1: Add 4x to both sides:
12 = -6x + 4x
Step 2: Combine like terms:
12 = -2x
uh- this is the correct way to answer the problem....
−4x+12=−6x
Step 1: Add 6x to both sides.
−4x+12+6x=−6x+6x
2x+12=0
Step 2: Subtract 12 from both sides.
2x+12−12=0−12
2x=−12
Step 3: Divide both sides by 2.
[tex]\frac{2x}{2}[/tex] = [tex]\frac{-12}{2}[/tex]
x=−6
-8x+1/4(20x-12)=qx-3
Answer:q= -3
Step-by-step explanation:
Let's solve for q.
−
8
x
+
1
4
(
20
x
−
12
)
=
q
x
−
3
Step 1: Flip the equation.
q
x
−
3
=
−
3
x
−
3
Step 2: Add 3 to both sides.
q
x
−
3
+
3
=
−
3
x
−
3
+
3
q
x
=
−
3
x
Step 3: Divide both sides by x.
q
x
x
=
−
3
x
x
q
=
−
3
Answer:
Use the rules of significant figures to answer the following question:
54.313 × 12.09
A. 657
B. 660
C. 656.64
D. 656.6
is the product of 18 negative numbers and 20 positive numbers a positive number or negative
Answer:
positive
Step-by-step explanation:
even negatives = positive
whatever positives = positive
positive*positive = positive
For which line is the slope least?
Shelley is visiting from London and uses her ATM card to withdraw $200 at local bank B. If local bank B charges $4 for ATM fees per foreign transaction plus 3% of the withdrawal, how much would she own in fees for what transaction? Round to the nearest dollar amount, such as: $6
$5
$4
$10
$7
Answer:
Transaction Fee = $10
Step-by-step explanation:
Transaction fee = $4 for ATM fees per foreign transaction + 3% of the withdrawal
Withdrawal = $200
3% of the withdrawal = 3/100 * $200 = $6
Transaction Fee = $4 + $6 = $10
Which pair of expressions is equivalent? 2(x + 5) and 2x + 10 B. 3x – 6 + 4x + 9 and 7x + 15 0. C. 4y - 2) and 4y - 2 0 D. 5y + 12 - 3y and 2y – 12
Answer:
A
Step-by-step explanation:
the equivalent pair of expression are 2(x+5)and 2x+10
WILL GIVE BRAINLIEST
Find the equation of the line
perpendicular to y=-2x + 1 that
also intersects the point (8, 2).
y- Hx+ 1
Enter
Answer:
y=1/2x-2
Step-by-step explanation:
perpendicular lines have a neg. reciprocal for the slope.
for example:
in this equation y=-2x+1
-2 is the slope and the negative reciprocal would be 1/2
hence, the slop of our new line is 1/2
y=1/2x+b
we can substitute the coordinates given for x and y:
2=1/2(8)+b
2=4+b
-2=b
hence the new equation is y=1/2x-2
jason voorhes was buying hocky masks. 1 hockey mask cost 10 dollars how much does 10 masks it cost in all?
Answer:
$100
Step-by-step explanation:
since 1 hockey mask costs $10 and you need 10 masks you can multiply 10x10 and you will get 100
Kelli has $33 in her checking account. She then writes a check for $42. What is the balance of Kelli's bank account?
Answer:
-9
Step-by-step explanation:
42-33= 9
But she is writing a check for $42 and only has $33 so that will send her into negatives.
Solve the equation + 6 = 2.
Question 13 options:
A)
No Solution
B)
a = 13
C)
a = 7
D)
a = 61
Question 14 (5 points)
Solve the equation 10 + y√
y
= 14
Question 14 options:
A)
y = 576
B)
y = 4
C)
y = 16
D)
y = 2