Since you know the value of n, you can substitute/plug it into the equation:
-4n² + 11 Plug in 3 into "n" since n = 3
-4(3)² + 11 Find 3² --> 3 x 3 = 9
-4(9) + 11 Multiply -4 and 9
-36 + 11
-25
Final answer:
To evaluate the expression -4n^2 + 11 for n = 3, substitute 3 for n and simplify to get -25.
Explanation:
To evaluate the expression -4n^2 + 11 when n = 3, you substitute the value of 3 for n into the expression and simplify.
First step: Substitute n with 3.
-4(3)^2 + 11
Second step: Calculate the square of 3.
-4(9) + 11
Third step: Multiply -4 by 9.
-36 + 11
Fourth step: Add 11 to -36.
The result is -25.
The value of the expression -4n^2 + 11 when n = 3 is -25.
jennifer walks 8 miles in the same time she can jog 13 miles. if her jogging speed is 8mph faster than her walking speed, how fast does she walk?
Answer:
12.8mph
Step-by-step explanation:
Let 'w' represent her walking speed
->if her jogging speed is 8mph faster than her walking speed
Jogging speed= w+8
Using the time equation i.e time = dist/speed
For walking when distance is 8miles
time = dist / speed= 8/w hrs
For jogging when distance is 13miles
time = dist / speed= 13/(w+8) hrs
Equating the time
jog time = walk time
13/(w+8) = 8/w
By cross multiplying it
13w = 8w + 64
5w = 64
w=64/5
w=12.8mph
Therefore, 12.8mph is her walking speed.
Solve the proportion. 2/x-3 = 5/x
a. 5
b. 2
c.10
d.15
Answer: a.5
Step-by-step explanation: You cross multiply and get 2x=5x-15. You then simplify this, getting -3x=-15. So the answer is 5.
Solve 7x - 8 = 3x + 40
Answer:
[tex]7x-8=3x+40\\7x-3x=40+8\\4x=48\\x=12[/tex]
Answer:
Step-by-step explanation:
7x-8=3x+40
7x-3x=40+8
4x=48
x=48/4
x=12
If x = 48 cm and y = 55 cm, what is the length of w?
A. 77 cm
B. 37 cm
c. 103 cm
D. 73 cm
The length of 'w' is approximately 73 cm.
Explanation:To find the length of 'w,' we can use the Pythagorean Theorem since 'w' is the hypotenuse of a right triangle with legs 'x' and 'y.' The Pythagorean Theorem states that the square of the hypotenuse is equal to the sum of the squares of the legs. So, we have:
w^2 = x^2 + y^2
Substituting the given values, we get:
w^2 = 48^2 + 55^2
w^2 = 2304 + 3025
w^2 = 5329
Taking the square root of both sides, we find:
w = √5329
w ≈ 73 cm
Final answer:
After performing the calculations, the hypotenuse w is found to be 73 cm, which corresponds to option D.
Explanation:
To find the length of w, which is the hypotenuse of the right-angled triangle with sides x = 48 cm and y = 55 cm, we use the Pythagorean theorem.
This theorem states that in a right triangle, the square of the length of the hypotenuse (w) is equal to the sum of the squares of the lengths of the other two sides (x and y).
According to the theorem:
w² = x² + y²
Plugging in the given values:
w² = 482 + 552
w² = 2304 + 3025
w² = 5329
To find w, we take the square root of both sides:
w = √5329
w = 73 cm
Therefore, the length of w is 73 cm, which corresponds to option D.
Normally a game is $33.00. But the new edition version is going to be $36.62. This is an increase of what percent.
Answer: 10.9697% increase
Hope this helped
if a tangent ratio is 4/20, what is the measure of the tangent? A) 0.2
B) 3.8
C)8.2
D) 5.2
Answer:
A
Step-by-step explanation:
The tangent of 4/20 is 0.20271 and u round to the 4th digit
The width of a box is 12 cm. The length of the box is two times the width. The height is 10 cm longer than the length. What is the volume of the box? (V = lwh)
A) 3,528 cm3
B) 9,792 cm3
C) 120 cm3
D) 240 cm3
Answer:
V = 9,792 cm
Step-by-step explanation:
hope that i helped!
Answer:
B) 9792
24*12*34
Calculate the value of m
Write the word sentence as an inequality.
a number y added to 5.2 is less than 23
The inequality is: ______?
Answer:
[tex]y+5.2<23[/tex]
Step-by-step explanation:
Add y and 5.2 and use the less than symbol < to show that 23 is greater than the sum of y and 5.2.
If you have trouble remembering the directions of < > and what they mean, my teacher taught me that the alligator wants more food. The "mouth" opens towards the biggest value.
The diameter of a cake is 12 centimeters and the area of one slice is 4π cm2. in terms of π how many full slices can you cut out of the cake
Step-by-step explanation:
Gievn, the diameter of a cake is 12 cm
Radius of the cake = 6 cm
area of one slice = 4π [tex]cm^{2}[/tex]
in terms of π how many full slices can you cut out of the cake = ?
Area of the cake = area of the circle = π[tex]r^{2}[/tex] = π[tex](6)^{2}[/tex] = 36 π
Area of n slices = area of the cake
(4π ) n = 36 π
n = 9
In terms of π 9 full slices can be cut out of the cake.
Answer:
9 full slices can be cut out of the cake.
Step-by-step explanation:
The unit cost per pound for green beans is represented by the
equation y = 1.2x. Which of these points is NOT on the graph of this
proportional relationship?
A( 0,0)
8 (2.24)
C (4.48)
D (12.10)
Al chose A as the correct answer. How did he get that answer?
The point which is not on the graph is (12, 10)
Using the equation given :
y = 1.2xComparing each point:
(0, 0)y = 1.2(0)
y = 0 (correct)
b.)
(2,2.4)y = 1.2(2)
y = 2.4 (correct)
c.)
(4, 4.8)y = 1.2(4)
y = 4.8 (correct)
d.)
(12, 10)y = 1.2(10)
y = 12 (Incorrect)
The point which is not on the graph is (12, 10)
Solve for an angle in right triangles help
Answer:
64.62 degrees
Step-by-step explanation:
Cosine adjacent/hypotenuse (sides)
CosB = (3/7)
B = [tex]Cos^{-1}[/tex](3/7)
B = 64.62
Answer:
64.62
Step-by-step explanation:
AC²= AB²-BC²
[tex]AC = \sqrt{ {(7)}^{2} - ({3)}^{2} } [/tex]
[tex] = \sqrt{49 - 9} = \sqrt{40} = 2 \sqrt{10} [/tex]
[tex] \tan(B) = \frac{AC }{ BC} [/tex]
[tex] B = { \tan}^{ - 1} \frac{2 \sqrt{10} }{3} [/tex]
[tex] = 64.62[/tex]
Write an explicit formula for a^n the nth term of the sequence 1,3,9....
(instead of the ^ it’s faced down if yk what i mean) please help i’m struggling thank you
Answer:
a_n = 3^(n -1)
Step-by-step explanation:
The n-th term of a geometric sequence with first term a1 and common ratio r is given by ...
a_n = a1·r^(n-1)
Your sequence has first term 1 and ratio r=3, so the sequence is given by ...
a_n = 3^(n -1)
_____
Comment on sequences and series
The sequences we commonly study are "arithmetic" and "geometric." Each of these has an explicit formula for the n-th term, based on the first term and the common difference or ratio. Similarly, each series (sum of terms of a sequence) also has a formula. That's 4 formulas to keep track of; not difficult. One of them, the formula for the n-th term of a geometric sequence, is shown above.
Pls solve!!!! ill give brainlyist
I’m really lost...........
6^5 x 5^-7
Answer:
0.0995328 OR 7776 /78125
It's okay to be a little lost. When I have exponents and all this "fun" stuff, I use Desmos graphing calculator. It will help you GREATLY. Let me know if you wan the link...
What is the sum or difference?
2y^5-4y^5
Shanti wrote the predicted values for a data set using the line of best fit y = 2.55x – 3.15. She computed two of the residual values.
What are the values of a and b?
a = 0.4 and b = –0.15
a = –0.4 and b = 0.15
a = 8.6 and b = 14.25
a = –8.6 and b = –14.25
[tex]a=4.1-4.5=-0.4\\b=7.2-7.05=0.15[/tex]
The values of a and b are,
⇒ a = -0.4 and b = 0.15
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Now, Residual value is the difference between the observed value of the dependent variable (y) and the predicted value (ŷ) in a data set.
i.e. Residual value = given value - predicted value
From the table, the residual value corresponding to a has 4.1 as the given value and 4.5 as the predicted value.
Therefore, We get;
a = 4.1 - 4.5
a = -0.4
Similarly, the residual value corresponding to b has 7.2 as the given value and 7.05 as the predicted value.
Therefore, We get;
b = 7.2 - 7.05
b = 0.15
Therefore, a = -0.4 and b = 0.15
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A pancake recipe calls for 1/8 cup of oil per cup of mix. Owen wants to use 3 1/2 cups of pancake mix. He has 1/2 cup of oil. Does Owen have enough oil to make the pancakes? Explain.
Answer:
Owen has enough to make 3 1/2 of pancake mix.
Step-by-step explanation:
Since the ratio is 1/8 cup of oil per cup of mix and Owen has 1/2 a cup of mix, he has enough to cover the 3 cups of mix since that would be 3/8 cups of oil. He has enough to cover 1/2 a cup as well because that'd be 1/16 cup of oil.
Answer:
Owen has enough to make 3 1/2 of pancake mix.
Step-by-step explanation:
25% of the tickets sold at a water park were child tickets. If the park sold 88 tickets in all, how many child tickets did it sell?
Answer:
22 Child tickets
Step-by-step explanation:
A quick way to solve it is to take 0.25 and multiply it by 88.
Select the best model for the graph:
a. A bucket collected water from a leak at a rate of 1.5 inches per hour
b. A diver came up for air at a rate of 2 feet every 3 seconds
Which equation describes the circle having center point (3,5) and radius r = 2
in standard form?
Answer:
x^2 + y^2 - 6x - 10y + 30 = 0.
Step-by-step explanation:
In factor form the general equation is:
(x - h)^2 + (y - k)^2 = r^2 where (h, k) is the centre and r = the radius.
So here we have:
(x - 3)^2 + (y - 5)^2 = 4.
Converting to Standard Form:
= x^2 - 6x + 9 + y^2 - 10y + 25 = 4
x^2 + y^2 - 6x - 10y + 9 + 25 - 4 = 0
x^2 + y^2 - 6x - 10y + 30 = 0.
Find the slope of the line.
y = -0.6x – 0.8
√34 = 5.8309518948453
Answer:
-3/5
m= y2-y1/x2-x1
m= -2-1/ 2+3
m= -3/5
Damari needs to paint the circular concrete mural at the park. The mural has a diameter of 45 feet. A gallon of paint covers approximately 300 square feet. Each gallon is $18.99. How much will Damari spend in order to paint the mural? Use 3.14 to approximate π .
Answer:
$100.647
Step-by-step explanation:
Diameter = 45ft
Radius = diameter / 2 = 45 / 2 = 22.5ft.
1 gallon of paint covers 300ft²
1 gallon cost $18.99
The total area of the mural = πr² (since it's circular and area of a circle = πr²)
Area = πr²
Area = 3.14 * (22.5)²
Area = 1589.625ft²
The total area of the mural = 1589.625ft²
1 gallon of paint covers 300ft²
X gallons of paint will cover 1589.625ft²
Making x the subject by cross multiplying
X = (1 * 1589.625) / 300
X = 5.29875 gallons.
5.3 gallons will be required to paint 1589.625ft²
But 1 gallon costs = $18.99
5.3 gallons will cost $ y
y = (5.3 * 18.99) / 1
y = $100.647
Damari will spend $100.647 to paint the mural.
What is the degree of a constant term?
Answer:
I think it's answer is 0. in case of constant polynomials
Find the value X-3=10
Answer:
x = 13
Step-by-step explanation:
x - 3 = 10
x = 13 (Add 3 to both sides to balance out the equation)
If mVQ=(y+7), mQR=(x+11), mRS=(3y),and mST=65,findthevaluesofxandy
Answer:
The values of x and y are x = 25 and y = 18
Step-by-step explanation:
The measure of an arc is equal to the measure of the central angle subtended by it
In circle W
∵ W is the center of the circle
∵ m∠QWS = 90°
∵ ∠QWS is subtended by arc QS
- Use the rule above
∴ m∠QWS = m arc QS
∴ m arc QS = 90°
∵ m arc QS = m arc QR + m arc RS
∵ m arc QR = (x + 11)°
∵ m arc RS = (3y)°
- Add them and equate the answer by 90
∴ (x + 11) + (3y) = 90
- Subtract 11 from both sides
∴ x + 3y = 79 ⇒ (1)
∵ VT passes through W
∴ VT is a diameter in circle W
- Diameter divides the circle into two equal arcs the measure
of its arc is 180° because the measure of the circle is 360°
∴ m arc VQRST is 180°
∵ m arc QRS = 90°
∵ m arc VQRST = m arc VQ + m arc QRS + m arc ST
- Substitute the measures of arc VQRST and QRS
∴ 180 = m arc VQ + 90 + m arc ST
- Subtract 90 from both sides
∴ 90 = m arc VQ + m arc ST
∵ m arc VQ = (y + 7)°
∵ m arc ST = 65°
∴ 90 = (y + 7) + 65
- Add like terms in the right hand side
∴ 90 = y + 72
- Subtract 72 from both sides
∴ 18 = y
Substitute the value of y in equation (1) to find x
∵ x + 3(18) = 79
∴ x + 54 = 79
- Subtract 54 from both sides
∴ x = 25
The values of x and y are x = 25 and y = 18
If you deposit $300 in an account with a 6% interest rate, how much will be in your account after 1 year?
The simple interest will be 18$
What is the value of t in this equation?
(j Superscript negative 12 Baseline) Superscript negative 5 Baseline = j Superscript t
Answer:
60
Step-by-step explanation:
The value of t in this equation is 60. The solution is given below.
What is a quadratic equation?A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.
Given;
(j Superscript negative 12 Baseline) Superscript negative 5 Baseline = j Superscript t
Now,
The equation will be j(20+100)=j(2t)
20+100=2t
120=2t
120/2=t
t=60
Therefore, the answer of the given equation will be 60.
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A flower using 1 line segment and 8 rays
Answer:
Use the one line segment as flower stem and use the 8 rays as petals.
Complete the statements based on the diagram,
MZA=27" because it is
to the 27° angle
The measure of 2 can be found because it is a
vertical angle to the 93' angle,
The sum of the measures of angles A, B, and C is
degrees
Answer:
An alternate interior angle, c, 180 degrees
Step-by-step explanation: