Answers
Answer:
B (-4)(3) + (-4)(1/4)
Step-by-step explanation:
We must find the product of -4 and 3 1/4, which is (-4)(3 1/4). We know that 3 1/4 = 3 + 1/4, so we substitute that to the expression we want.
(-4)(3 1/4) = (-4)(3 + 1/4)
Using the distributive property, we distribute the -4 to the 3 and the 1/4 and the expression becomes
(-4)(3 + 1/4) = (-4)(3) + (-4)(1/4)
I hope this helps! :)
Related Questions
6
Find the slope of the line that passes through
(-4, 7) and (-6,-4)
b) -2/11
a) 2/11
d) -11/2
c) 11/2
Answers
Answer:
c) 11/2
Step-by-step explanation:
(-4, 7) and (-6, -4)
To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)
Plug in these values:
(-4 - 7) / (-6 - (-4))
Simplify the parentheses.
= (-11) / (-6 + 4)
= (-11) / (-2)
Simplify the fraction.
-11/-2
= 11/2
This is your slope.
Hope this helps!
Solve for x in the equation x squared + 2 x + 1 = 17.
Answers
Step-by-step explanation:
quadratic formula
-b+-√b^2
2a
-2+-√2^2-4×1×-16
2×1
-2+-√68
2
either
x= 3.125
or
x= -5.125
y-4=7(x-6)y−4=7(x−6)
Answers
Answer:
I believe the question was written twice on accident
y=7x-38
Step-by-step explanation:
y-4=7(x-6)
y-4=7x-42
y=7x-38
Please help it’s summer school and i need serious help
Answers
Answer:
B
Step-by-step explanation:
NASA launches a rocket at t = 0 seconds. Its height, in meters above sea-level, as a function of time is given by h ( t ) = − 4.9 t 2 + 229 t + 346 . Assuming that the rocket will splash down into the ocean, at what time does splashdown occur?
How high above sea-level does the rocket get at its peak?
Answers
Answer:
[tex] \displaystyle 1)48.2 \: \: \text{sec}[/tex]
[tex] \rm \displaystyle 2)3021.6 \: m[/tex]
Step-by-step explanation:
Question-1:so when flash down occurs the rocket will be in the ground in other words the elevation(height) from ground level will be 0 therefore,
to figure out the time of flash down we can set h(t) to 0 by doing so we obtain:
[tex] \displaystyle - 4.9 {t}^{2} + 229t + 346 = 0[/tex]
to solve the equation can consider the quadratic formula given by
[tex] \displaystyle x = \frac{ - b \pm \sqrt{ {b}^{2} - 4 ac} }{2a} [/tex]
so let our a,b and c be -4.9,229 and 346 Thus substitute:
[tex] \rm\displaystyle t = \frac{ - (229) \pm \sqrt{ {229}^{2} - 4.( - 4.9)(346)} }{2.( - 4.9)} [/tex]
remove parentheses:
[tex] \rm\displaystyle t = \frac{ - 229 \pm \sqrt{ {229}^{2} - 4.( - 4.9)(346)} }{2.( - 4.9)} [/tex]
simplify square:
[tex] \rm\displaystyle t = \frac{ - 229 \pm \sqrt{ 52441- 4( - 4.9)(346)} }{2.( - 4.9)} [/tex]
simplify multiplication:
[tex] \rm\displaystyle t = \frac{ - 229 \pm \sqrt{ 52441- 6781.6} }{ - 9.8} [/tex]
simplify Substraction:
[tex] \rm\displaystyle t = \frac{ - 229 \pm \sqrt{ 45659.4} }{ - 9.8} [/tex]
by simplifying we acquire:
[tex] \displaystyle t = 48.2 \: \: \: \text{and} \quad - 1.5[/tex]
since time can't be negative
[tex] \displaystyle t = 48.2 [/tex]
hence,
at 48.2 seconds splashdown occurs
Question-2:to figure out the maximum height we have to figure out the maximum Time first in that case the following formula can be considered
[tex] \displaystyle x _{ \text{max}} = \frac{ - b}{2a} [/tex]
let a and b be -4.9 and 229 respectively thus substitute:
[tex] \displaystyle t _{ \text{max}} = \frac{ - 229}{2( - 4.9)} [/tex]
simplify which yields:
[tex] \displaystyle t _{ \text{max}} = 23.4[/tex]
now plug in the maximum t to the function:
[tex] \rm \displaystyle h(23.4)- 4.9 {(23.4)}^{2} + 229(23.4)+ 346 [/tex]
simplify:
[tex] \rm \displaystyle h(23.4) = 3021.6[/tex]
hence,
about 3021.6 meters high above sea-level the rocket gets at its peak?
The cost C of manning household is partly constant and partly varies as the number of people, the cost is 70,000 and for 10 people, the cost is 90,000 find the expression for C in terms of n ii. The weekly cost for 12 people
Answers
Answer:
4.196.754
Step-by-step explanation:
god bless stay safe po
Let W be part of the solid sphere of radius 4, centered at the origin, that lies above the plane z = 2. Set up an integral in cylindrical coordinates to find the volume of the region. Do NOT actually integrate.
Answers
Answer:
V = ∫∫∫rdrdθdz integrating from z = 2 to z = 4, r = 0 to √(16 - z²) and θ = 0 to 2π
Step-by-step explanation:
Since we have the radius of the sphere R = 4, we have R² = r² + z² where r = radius of cylinder in z-plane and z = height² of cylinder.
So, r = √(R² - z²)
r = √(4² - z²)
r = √(16 - z²)
Since the region is above the plane z = 2, we integrate z from z = 2 to z = R = 4
Our volume integral in cylindrical coordinates is thus
V = ∫∫∫rdrdθdz integrating from z = 2 to z = 4, r = 0 to √(16 - z²) and θ = 0 to 2π
Answer:
[tex]\displaystyle V = \int\limits^{2 \pi}_{0} \int\limits^{2\sqrt{3}}_{0} \int\limits^{\sqrt{16 - r^2}}_2 {r} \, dz \, dr \, d\theta[/tex]
General Formulas and Concepts:
Multivariable Calculus
Cylindrical Coordinate Conversions:
[tex]\displaystyle x = r \cos \theta[/tex][tex]\displaystyle y = r \sin \theta[/tex][tex]\displaystyle z = z[/tex][tex]\displaystyle r^2 = x^2 + y^2[/tex][tex]\displaystyle \tan \theta = \frac{y}{x}[/tex]Volume Formula [Cylindrical Coordinates]:
[tex]\displaystyle V = \iiint_T \, dV \rightarrow V = \iiint_T {r} \, dz \, dr \, d\theta[/tex]
Step-by-step explanation:
Step 1: Define
Identify given.
Solid sphere w/ radius 4 centered at (0, 0, 0) → x² + y² + z² = 4²
Plane z = 2
Step 2: Find Volume Pt. 1
Find bounds of z.
[Sphere] Substitute in plane z:[tex]\displaystyle x^2 + y^2 + 2^2 = 4^2[/tex]Substitute in cylindrical conversions:
[tex]\displaystyle (r \cos \theta)^2 + (r \sin \theta)^2 + 2^2 = 4^2[/tex]Simplify:
[tex]\displaystyle r^2 + 4 = 16[/tex]Solve for r:
[tex]\displaystyle r = 2\sqrt{3}[/tex]
∴ 0 ≤ r ≤ 2√3
Step 2: Find Volume Pt. 2
[Sphere] Substitute in plane z:[tex]\displaystyle x^2 + y^2 + 4 = 16[/tex]Isolate variables:
[tex]\displaystyle x^2 + y^2 = 12[/tex][Unit Circle] Graph [See 2nd Attachment]
∴ 0 ≤ θ ≤ 2π
Step 3: Find Volume Pt. 3
[Sphere] Substitute in cylindrical conversions:[tex]\displaystyle (r \cos \theta)^2 + (r \sin \theta)^2 + z^2 = 4^2[/tex]Simplify:
[tex]\displaystyle r^2 + z^2 = 4^2[/tex]Solve for z:
[tex]\displaystyle z = \sqrt{16 - r^2}[/tex]
∴ 2 ≤ z ≤ √(16 - r²)
Step 4: Find Volume Pt. 4
Substitute in variables [Volume Formula - Cylindrical Coordinates]:[tex]\displaystyle V = \int\limits^{2 \pi}_{0} \int\limits^{2\sqrt{3}}_{0} \int\limits^{\sqrt{16 - r^2}}_2 {r} \, dz \, dr \, d\theta[/tex]
∴ the volume of the region is found with the integral above.
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Learn more about multivariable calculus: https://brainly.com/question/17203772
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Topic: Multivariable Calculus
Unit: Triple Integral Applications
Using ƒ = {(1, 0), (2, 3), (3, 6)}, give the range.
Answers
Factor completely
9 – 25x^2
Pls help i will mark the brainliest!
Answers
Answer:
more
Step-by-step explanation:
The answer is (5x+3)(-5x+3)
Necesito ayuda con este ejercicio hay que determinar el valor de la a: [tex]a^{20} : a^{2x} = a^{12}[/tex]
Answers
Answer:
x = 10 + log(1/a^12)/(2 log(a)) + (i π n)/log(a) for n element Z
Step-by-step explanation:
Solve for x:
a^(20 - 2 x) = a^12
Take reciprocals of both sides:
a^(2 x - 20) = 1/a^12
Take the logarithm base a of both sides:
2 x - 20 = log(1/a^12)/log(a) + (2 i π n)/log(a) for n element Z
Add 20 to both sides:
2 x = 20 + log(1/a^12)/log(a) + (2 i π n)/log(a) for n element Z
Divide both sides by 2:
Answer: x = 10 + log(1/a^12)/(2 log(a)) + (i π n)/log(a) for n element Z
Can someone please help me? I'm stuck.
Answers
Answer:
Sure i can help you
Step-by-step explanation:
Answer:
Sure! What’s the question?
Step-by-step explanation:
What is the solution to flog4(x+8) - 427
Answers
Answer:
4270
Step-by-step explanation:
solve the literal equation for C. -3x+2c=-3
Answers
Step-by-step explanation:
I'm sorry I can't answer that but I know something so you can answer that. search Chrome quickmath all your problems, equations and more can be solved
Answer:
c = 3/2x + −3/2
Step-by-step explanation:
Let's solve for c
-3x+2c=-3
Step 1: Add 3x to both sides.
2c −3x + 3x = −3 + 3x
2c = 3x −3
Step 2: Divide both sides by 2.
2c = 3x−3
2 2
c = 3/2x + −3/2
Answer:
c = 3/2x + −3/2
I am majorly stuck lol
The area of a rectangle is given by the expression 8x3 + 26x2 + 31x + 15. If the width of the rectangle is 2x + 3, what is the expression that represents the length of the rectangle?
Answers
Translate the sentence into an equation.
Two more than the quotient of a number and 5 is equal to 4.
Use the variable Y for the unknown number.
Answers
Answer:
Step-by-step explanation:
y/5 That's your quotient
y/5 + 2 That's the quotient with 2 added on.
y/5 + 2 = 4 And that's your answer.
Always break the statements into the smallest possible steps that you can. Notice that I broke it down to 3 parts that are not quite equal in length.
Write the expression in exponential form nd then evaluate 2.1x2.1
Answers
Answer:
exponential form = 2.1^2
evaluation = 4.41
Step-by-step explanation:
it is times-ing 2.1 two times, therefore its 2.1^2
2.1 times 2.1 = 4.41
A Canadian study examined the pregnancy weight gain of underweight mothers, women who had been underweight before becoming pregnant. A Normal distribution with mean 36.6 lb and standard deviation 11.9 lb is a reasonable model for the distribution of pregnancy weight gains in this population.
a) Perform the appropriate computation and fill in the blank to complete this sentence in context: In this population, the first quartile of pregnancy weight gains is_____.
b) For underweight mothers, health organizations recommend a pregnancy weight gain between 27.5 lb and 39.5 lb. What is the probability that a randomly selected underweight mother in Canada would have a pregnancy weight gain in the recommended range?
Answers
Answer:
The correct answer is:
(a) 44.6 lb
(b) 0.371
Step-by-step explanation:
Given values are:
Mean,
[tex]\mu=36.6[/tex]
Standard deviation,
[tex]\sigma=11.9[/tex]
(a)
The z distance third quartile will be:
⇒ [tex]P(Z<0.674)=0.75[/tex]
[tex]z =0.674[/tex]
By using the z-score formula, we get
⇒ [tex]x=z\times \sigma+ \mu[/tex]
[tex]=0.674\times 11.9+36.6[/tex]
[tex]=44.62[/tex]
(b)
⇒ [tex]P(27.5<x<39.5) = P[{\frac{(27.5-36.6)}{11.9} <\frac{(x-\mu)}{\sigma} <\frac{(39.5-36.6)}{11.9} }][/tex]
[tex]=P(-0.76<z<0.24)[/tex]
[tex]=P(z<0.24)-P(z<-0.76)[/tex]
By using the z table, we get
[tex]=0.5948-0.2236[/tex]
[tex]=0.371[/tex]
Find the area of the circle shown below if the diameter is 24 inches. Use 3.14 for π. Use the formula π x r^2
A)1,808.64 inches
B) None of these answers
C)37.68 inches
D)452.16 inches
E)150.72 inches
Answers
==============================================================
Explanation:
The diameter is 24 inches, so the radius is half that at r = d/2 = 24/2 = 12 inches.
We'll use this along with the approximation pi = 3.14 to get the area
A = pi*r^2
A = 3.14*12^2
A = 452.16 square inches
Your teacher should have used "square inches" instead of "inches" as the unit.
We can abbreviate the "square inches" into "sq in" or "in^2".
This value is approximate since pi = 3.14 is approximate. Use more decimal digits of pi to find a more accurate value.
The exact area is 144pi
Answer:
D. 452.16 sq inches
Step-by-step explanation:
d = 24 ==> r = 24/2= 12 inches
the area = π×r²
= 3.14 × 12²
= 3.14 × 144
= 452.16 sq inches
Find the missing terms.
3, _____, _____, 21 (arithmetic)
Answers
Answer:
Hello There!!
Step-by-step explanation:
The answer is 3,9,15,21.
hope this helps,have a great day!!
~Pinky~
Answer:
the common difference is 6. So, the missing two terms are 9 and 15 using
3 + (n-1)(6)
Help please…………….6/11/21
Answers
9514 1404 393
Answer:
8
Step-by-step explanation:
The notation n=1 .. 8 means that n takes on all integer values from 1 to 8. Each value of n gives one term that is added to the series.
The number of terms is 8.
Let g(x) be the indicated transformation of f(x). Write the rule for g(x) f(x)=3x + 1: translation 2 units right
Answers
Answer:
3x +3
Step-by-step explanation:
3x + 1 + 2units(on the x axis)= 3x +3
Translate the percent sentence to a percent equation.
What number is 43% of 80?
Answers
Answer:
.43 · 80 = 34.4
Step-by-step explanation:
percentages into decimals = move decimal place to left two places
'of' means multiply in math
equations have equal (=) signs
A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 423 gram setting. Is there sufficient evidence at the 0.05 level that the bags are underfilled or overfilled
Answers
when does two plus two equal five
Answers
[tex]2 + y = 1[/tex]
Answers
Answer: y= -1
Step-by-step explanation:
2+y=1
y=1-2
y=-1
Step-by-step 2+y=1
-2 -2
Y= -1
Jose bought a plant. The height, h, of the plant is 2 feet. He noticed that every month, m,
the plant grows by 0.5 feet. What equation represents the height of the tree?
Answers
Answer:
the answer is h=0.5m+2 I think
guys please help me :(((((((((( crying
Answers
Answer:
18
Step-by-step explanation:
2/6
4/12
6/18
Answer:
x = 18
Step-by-step explanation:
We can write ratios
2 2+4
---- = -----
6 x
Using cross products
2x = 6(2+4)
2x = 6(6)
2x = 36
Divide by 2
2x/2 = 36/2
x = 18
Ricardo has a wooden board that measures 5 feet in length. How many 1/4 foot long pieces can Ricardo cut from the board
Answers
Answer:
20 pieces of wood
Step-by-step explanation:
5 divided by 1/4: 20
another way to look at it is if there are 4 of these pieces in a foot, and there are 5 feet, 4 times 5 is also 20.
Is this quadratic? If so what form is it?
Answers
Answer:
Yes. Factored form.
Step-by-step explanation:
Answer:
yes, and it's in intercept form
Step-by-step explanation:
Hi there!
We are given the function f(x)=-2(x-4)(x+3)
A quadratic function is a function that has a degree of 2 (the highest exponent in the function is to the 2nd power)
There are 3 forms to write a quadratic function:
standard form, which is f(x)=ax²+bx+c, where a, b, and c are free coefficients (numbers)
vertex form, which is f(x)=a(x-h)²+k, where a is a free coefficient and (h,k) is the vertex
intercept form, which is f(x)=a(x-[tex]x_{1}[/tex])(x-[tex]x_{2}[/tex]), where a is a free coefficient and [tex]x_{1}[/tex] and [tex]x_{2}[/tex] are the x intercepts
You may notice that f(x)=-2(x-4)(x+3) is actually in intercept form; a is -2 and [tex]x_{1}[/tex] and [tex]x_{2}[/tex] are 4 and -3 respectively (remember: the formula for intercept form has -[tex]x_{1}[/tex] and -[tex]x_{2}[/tex], but the x intercepts are [tex]x_{1}[/tex] and [tex]x_{2}[/tex]. Therefore, the x intercepts should be the opposites of -[tex]x_{1}[/tex] and -[tex]x_{2}[/tex]).
If the formula is in intercept form, it should be quadratic.
However, if you want to be sure it's quadratic, you can expand the function.
f(x)=-2(x-4)(x+3)
first, multiply the binomials together using FOIL
(x-4)(x+3)
x²-x-12
now multiply x²-x-12 by -2
-2(x²-x-12)
do the distributive property
-2x²+2x+24
It's a quadratic function! The value of the highest exponent is 2 :)
Hope this helps!
What is the value of y - X?
A. 20
D
B. 30
O
E.
о O
C. 45
Answers
Answer:
30
Step-by-step explanation:
that is the procedure above
