Answer:
one of the angles is 48 degrees the other is 42 degrees
Step-by-step explanation:
Complementary is 90
45 + 45 = 90
48 +42=90
Find the volume of a rectangular prism if the length is x, the width is x², and the height is 5x² + 4x + 1. Use the formula V=1-w-h, where I is length, w is width, and h
is height, to find the volume
A.5x³+4x²+x³
B.5x+4x³+x²
C.6x³+4x²+x³
D.6x² + 4x³+x²
The volume of the given rectangular prism is V = 5x⁵ + 4x⁴ + x³ cubic units.
What is the volume of the rectangular prism?
Four rectangular faces and two parallel rectangular bases make up a rectangular prism. We are aware that a rectangular prism's cross section is a rectangle. The term "Cuboid" is another name for the rectangular prism.
Therefore, the following formula is provided to determine a rectangular prism's volume: Volume = l*b*h cubic units.
Given, the length of the rectangular prism = l = x
Also, the width of the rectangular prism = w = x²
Again, the height of the rectangular prism = h = 5x² + 4x + 1
Volume of the rectangular prism = l*w*h = x*(x²)*(5x² + 4x + 1)
= x³(5x² + 4x + 1) = 5x⁵ + 4x⁴ + x³
Thus, the volume of the given rectangular prism is V = 5x⁵ + 4x⁴ + x³ cubic units.
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PLEASE HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!
1. The quadratic function f(x) has roots of −4 and 2 and point (1, −5) lies on f(x). What is the equation of f(x)?
f(x) = (x − 2)(x + 4)
f(x) = (x − 2)(x − 4)
f(x) = 4(x − 2)(x + 4)
f(x) = 4(x − 2)(x − 4)
2. What is the standard form of the equation of a quadratic function with roots of 2 and −5 that passes through (1, −3)?
y = −0.5x2 + 1.5x − 5
y = −0.5x2 + 1.5x + 5
y = 0.5x2 + 1.5x − 5
y = 0.5x2 + 1.5x + 5
Answer: For 1 it is A - f(x)=(x-2)(x+4) and for 2 it is C - y = 0.5x^2 + 1.5x − 5
Step-by-step explanation:
Just use Desmos
how to find a line that is parrallel to y=4 and passes through (-3,1)
The equation of the line is given as y = 1
What is the equation of a line?In the given question, we are to find the equation of the line that is parallel to the given equation. For y = 4, the slope of the equation is equal to 0 or does not exist.
Using point-slope formula y - y₁ = m(x- x₁)
The points passing through the line is (-3, 1)
We can substitute the values into the equation;
y - 1 = 0(x - (-3)
y = 0 + 1
y = 1
The equation of the line passing parallel to the equation is y = 1
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If a = -3x and b = -2i, then find the value of the ab² in fully simplified form.
The value of the expression ab² is 12x where a = -3x and b = -2i
How to evaluate the expression?From the question, the values of the variables are given as
a = -3x and b = -2i
The expression to calculate is then calculated as
ab²
Substitute the known values in the above equation
So, we have the following equation
ab² = (-3x) * (-2i)²
Evaluate the exponent
So, we have the following equation
ab² = (-3x) * -4
Evaluate the product
So, we have the following equation
ab² = 12x
Hence, the solution to the expression is 12x
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Please help I don’t know what it is
Which methods correctly solve for the variable r in the equation 3/8r+ 2 = 14?
Select all that apply.
The third option is the correct method that solves for the variable r in the equation
Which method will solve for the variable in the equation correctly?Given the equation: 3/8r+ 2 = 14
Subtract 2 from both sides:
3/8r = 12
Multiply both sides by 8:
3r = 12 x 8
3r = 96
Divide both sides by 3:
r = 96/3 = 32
Therefore, the method that solve the variable r in the equation correctly is the third option.
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You will have $ in five years if you set aside $1,000 a year at 8%.
p = q - r + s. solve for q
Answer:
if you can't read my pic the answer is: p+r-s=q
Step-by-step explanation:
Amy found that she could use the function P(t)=3t^2+5t+8 to model the population of a collection of fruit flies over time, where t is the time in days and P(t) is the number of flies. According to her model, how many flies will there be after 16 days?
A: 8
B: 768
C: 856
D: 2204
The total number of files after 16 days using the function P(t) = 3t² + 5t + 8 is 856.
A relationship between a group of inputs having different outputs is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output.
The function P(t) represents the population of a collection of fruit flies at a particular time in days.
P(t) is the number of flies and t is the time in days.
Now, consider the function:
P(t) = 3t² + 5t + 8
Therefore, the number of flies after 16 days will be:
When t = 16,
P(t) = 3t² + 5t + 8
P(16) = 3(16)² + 5(16) + 8
P(16) = 3 × 16 × 16 + 5 × 16 + 8
P(16) = 768 + 80 + 8
P(16) = 856
Hence, the number of flies after 16 days will be 856 flies using the function P(t).
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please help!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
I believe the answer is D!
The table shows pizza prices at Papi's Pizzeria.
Pizza Size Price
small $9.99
medium $11.99
large $13.99
On Saturday, Papi's sold 39 small pizzas, 62 medium pizzas, and 83 large pizzas.
Which equation represents the total amount of money Papi's made selling pizzas on Saturday?
A.
(
39
+
62
+
83
)
×
(
$
9
.
99
+
$
11
.
99
+
$
13
.
99
)
=
$
6
,
618
.
48
B.
(
$
9
.
99
×
39
)
+
(
$
11
.
99
×
62
)
+
(
$
13
.
99
×
83
)
=
$
2
,
294
.
16
C.
(
39
×
62
×
83
)
÷
(
$
9
.
99
+
$
11
.
99
+
$
13
.
99
)
=
$
5
,
579
.
48
D.
1
3
(
$
9
.
99
+
$
11
.
99
+
$
13
.
99
)
×
(
39
+
62
+
83
)
=
$
2
,
206
.
16
The equation that represents the total amount of money Papi's made selling pizzas on Saturday is (39 x $9.99) + (62 x $11.99) + (83 x $13.99)
Equation:
An equation is the mathematical statement which is made up of two expressions connected by an equal sign.
For example, 3x – 2 = 16 is an equation.
Given,
There are three types of pizza varieties are small, medium and large. And the price of them are $9.99, $11.99 and $13.99 respectively.
On Saturday, Papi's sold 39 small pizzas, 62 medium pizzas, and 83 large pizzas.
So, we have to write the equation for the total amount of money Papi's made selling pizzas on Saturday.
To calculate the price of the pizza we have to multiply it by the number of items sold by the cost.
So, the equation to calculate the cost of pizza,
=> number of items sold x cost.
Here we have to write the equation for three types and we have to find the total cost for it,
So, the equation is looks like,
=> (39 x $9.99) + (62 x $11.99) + (83 x $13.99)
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What angle does a 3.8 m ladder make with the ground if it reaches 2.1 m up the wall? How far is the foot of the ladder from the wall?
The angle does a 3.8 meter ladder make with the ground if it reaches 2.1 meter up the wall is 33.54 degrees and the distance between the foot of the ladder and the wall is 3.16 meters
The length of the ladder = 3.8 meter
The length of wall = 2.1 meter
Draw the figure using the measurements
We have to use the trigonometric function
The angle that a ladder make with the ground
sin θ = Opposite side / Hypotenuse
sin θ = 2.1/3.8
θ = 33.54 degrees
The distance from the foot of the ladder from the wall
cos θ = Adjacent side / Hypotenuse
cos 33.54 = Adjacent side / 3.8
Adjacent side = 3.8 × cos 33.54
= 3.16 meters
Hence, the angle does a 3.8 meter ladder make with the ground if it reaches 2.1 meter up the wall is 33.54 degrees and the distance between the foot of the ladder and the wall is 3.16 meters
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This math question please
Mike had 28 books. His brother Joseph decided to give one third of his books to Mike. After that, Joseph and Mike had the exact same number of books. How many books did they have altogether?
SOLUTION
Given the question in the question tab, the following are the solution step to get the number of books they have altogether.
Step 1: Write the notations for Joseph's and Mike's books
[tex]\begin{gathered} \text{let j represents the number of books Joseph has,} \\ \text{let m represents the number of books Mike has} \end{gathered}[/tex]Step 2: Write the statements in a mathematical form
[tex]\begin{gathered} m=28---\text{statement 1} \\ \frac{1}{3}of\text{ j was given to Mike to have }m+\frac{j}{3}=28+\frac{j}{3} \\ \text{After that, }28+\frac{j}{3}=\frac{2j}{3} \end{gathered}[/tex]Step 3: Solve to get the value of j by using substitution method
[tex]\begin{gathered} \\ m=28+\frac{j}{3} \\ 28+\frac{j}{3}=\frac{2j}{3} \\ \text{ multiply through by 3} \\ 84+j=2j \\ 84=2j-j \\ 84=j \\ j=84 \end{gathered}[/tex]Therefore, Joseph had 84 books initially.
Step 4: Get the number of books they had altogether by summing the number of books for the each of them initially
[tex]\begin{gathered} m=28,j=84 \\ \text{Total}=28+84=112 \end{gathered}[/tex]Hence, they both had 112 books altogether.
a ladder 10 feet long rests against a vertical wall. let be the angle between the top of the ladder and the wall, and let be the distance from the bottom of the ladder to the wall. if the bottom of the ladder slides away from the wall, how fast does change with respect to when ?
Rate of change of x with respect to [tex]\alpha[/tex] when [tex]\alpha =\frac{\pi }{3}[/tex] is 5ft/s.
Since the ladder is 10ft long resting against a vertical wall.
Let the angle between the top of the ladder and the wall is [tex]\alpha[/tex] .
And let the distance from the bottom of the ladder to the wall is x.
Thus we need to find the rate of change of x with respect to [tex]\alpha[/tex] when [tex]\alpha =\frac{\pi }{3}[/tex]
Consider L to be the length of the ladder.
Then, L = 10ft
Thus, we get the relation between the angle and distance x i.e.
x = L [tex]\sin \alpha[/tex]
On differentiating the above equation,
[tex]\frac{dx}{dt} =L \cos \alpha[/tex]
Now after putting the values [tex]\alpha =\frac{\pi }{3}[/tex] in above equation, we get,
[tex]=(10)\cos(\frac{\pi }{3} )=(10)(\frac{1}{2} )=5[/tex]
Therefore, [tex]\frac{dx}{dt} =5[/tex] ft/s
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Given that angle ABC and EBF form a right angle, if measurement of ABC = 5x° and EBF = 4x° what is the
value of x?
Answer:
10
Step-by-step explanation:
Right angles add up to 90
5x + 4x = 90
9x = 90 Divide both sides by 9
x = 10
what is 5x squared if x is 10
Answer: 2500
Step-by-step explanation: 5x10 = 50. 50x50 = 2500
Answer:
2500
Step-by-step explanation:
10 < w/6 solve the inequality for w and simplify your answer as much as possible
Answer:
60
Step-by-step explanation:
10 x 6 < w
60 < w
that answers it
Answer: Multiply to remove the fraction, then set equal to
0
and solve.
Inequality Form:
w
>
60
Interval Notation:
(
60
,
∞
)
Which of the binomials below is a factor of this expression?
25x^2-4y^2z^2
answer- 5x-2yz
The binomials 5x-2yz are a factor of this expression
25x^2-4y^2z^2
This is further explained below.
What are binomials?Generally, A binomial is a kind of polynomial that is used in algebra and is defined as the sum of two terms, each of which is a monomial.
After monomials, this is the sort of sparse polynomial that is the easiest to understand.
The word "binomial" refers to an algebraic expression that consists of just two different terms. This is a polynomial with two terms.
25 x^2-4 y^2 z^2
Rewrite 25 x^2 as (5 x)^2.
(5 x)^2-4 y^2 z^2
Rewrite 4 y^2 z^2 as (2 y z)^2.
(5 x)^2-(2 y z)^2
Since both terms are perfect squares, factor using the difference of squares formula, a^2-b^2=(a+b)(a-b) where a=5 x and b=2 y z.
(5 x+2 y z)(5 x-(2 y z))
Simplify.
(5 x+2 y z)(5 x-2 y z)
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Given the function-f(x) = 9x + 5, find each of the following. f(8), f(-10), f(0)
Answer:
Step-by-step explanation:
is it
-f(x)=9x+5 or positive?
9(8)+5=72+5
f(8)=77
9(-10)+5=-90+5
f(-10)=-85
9(0)+5=5
f(0)=5
think of f(x) is y instead and whatever is in the parenthesis just plug into the equation for x
Given m || n, find the value of x and y.
119°
to
yº
E
x+119°=180°(Co-interior angles are supplementary m || n)
[tex]x = 180 - 119 \\ x = 61[/tex]
y=119°(alternate angles are equal m ||n)
GOODLUCK.
-5/2 can be simplified?
If it can be simplified, would the answer be a fraction or a decimal?
Answer: -2 1/2 or -2.5
Step-by-step explanation:
Yes, it can be simplified.
-5/2 can be simplified to -2 1/2 which can be as a decimal as -2.5
Eitan is on a train heading west into the city while Dmitri is on a train on the adjacent track heading east, away from the city. They start 150 miles apart. Eitan’s train is traveling at an average speed of 65 miles per hour while the average speed of Dmitri's train is 55 miles per hour. How long will it take the two trains to reach each other? How far outside the city will they be?
The time when the two trains reach each other is
.
The trains are
away from the city when they reach each other.
Answer:
1.25 hours.
68.75 miles from the city
Step-by-step explanation:
Eltan's train (E) is travelling 65mph west.
Dmitri's train (D) is travelling 55mph west.
In terms of vectors, we can write E as 65E and D as 55W
The miles travelled by each is a function of time, T, in hours.
Each train's distance is:
E: T*65E
D: T*55W
They are 150 miles apart. They will meet with the combined miles travelled is 150 miles.
150 miles = T*65E + T*55W
150 miles = T(120 miles/hour)
T = (150 miles/120 miles/hour)
T = 1.25 hours
Make Demitri's train mile 0 and Eitan's train at mile 150 at the start.
They will have travelled the following miles in 1.25 hours:
Demitri: (1.25hr)(55 m/hr) = 68.75 miles
Eitan: (1.25hr)(65 m/hr) = 81.25 miles
Total = 150 miles
Dimitri is headed away from the city. After 1.25 hours, his train will have travelled 68.75 miles when he sees Eitan passing him on the adjacent track (hopefull) headed into the city. They meet 68.75 miles from the city.
Answer:
question one is B and question 2 is C
Step-by-step explanation:
Help please! Solve this and show your steps: c = 6.00 + 29.99
Step-by-step explanation:
you don't a type your question. so if it correct i will be happy to help you
23 < y - 2 solve the inequality of y and simplify your answer as much as possible.
[tex]23 + 2 < y \\ y > 25[/tex]
ATTACHED IS THE SOLUTION Mind you I swap the positions of the term so that y can be on the left hand side.
Goodluck!!
Answer:
25 < y
Step-by-step explanation:
23 + 2 < y
25 < y
that's as much as it goes
the combined math and verbal scores for students taking a national standardized examination for college admission, is normally distributed with a mean of 800 and a standard deviation of 150. if a college requires a student to be in the top 15 % of students taking this test, what is the minimum score that such a student can obtain and still qualify for admission at the college? answer:(round to the nearest integer)
The student needs a minimum score of 956 to stay in the top 15% of the normal distribution.
Normal distributions are fundamental to statistics because they are widely used in the social and natural sciences to represent real-valued regressors with uncertain distributions.
Some of its importance may be due to the central limit theory.This statement asserts that, under certain conditions, the mean of many samples (observations) of a stochastic process with small mean and variance creates itself as a random variable, whose distributions converge to a normal distribution as the sample size increases.Because of this, physical value distributions that are expected to be the sum of a large number of independent occurrences, such as error margins, are typically near to normal.Now top 15%
Therefore P=0.15
P(X<x) = 1 -0.15 = 0.85
Z-score = 1.04
Now we know that
z=(x-μ)/σ
Solving we get :
1.04 = (x - 800)/150
or, x = 956
hence the minimum score is 956.
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5=3+a check
need the answer
I m struggle with this problem can someone help me
Check below, please
1) The way to tackle this problem, is by dividing those numerators by the denominators so we can get the decimal form of each fraction, and count the marks to plot them.
2) Let's divide them:
[tex]\begin{gathered} -\frac{5}{6}=-0.83 \\ \frac{17}{6}=2.83 \end{gathered}[/tex]So now, we can plot them:
Thus, this the answer.
PLS HELP, IN A HURRY. Would Appreciate!!!!!
Answer:
y = w/(h - 5c^3)
Step-by-step explanation:
w = yh - 5yc^3
factorise out y:
w = y(h - 5c^3)
rearrange:
y = w/(h - 5c^3)
I think this is correct.
Find the value of x for which i II m?
Answer:
16. 36.67
17. 40
Step-by-step explanation:
See attached worksheet
5/b= 3/b-6
first i cross multiplied as i’m supposed to go and got the answer
5b-30=3b
what steps are next?
