The value of the expression f(5) + j(-2) is -8 where f(x)=12-3x and j(x)=x² + 4x - 1
How to solve the equation?The expression is given as:
f(5) + j(-2)
Where f(x)=12-3x and j(x)=x² + 4x - 1
Calculate f(5) and j(-2)
f(5)= 12 - 3(5) = -3
j(-2) = (-2)² + 4(-2) - 1 = -5
So, we have:
f(5) + j(-2) = -3 - 5
Evaluate
f(5) + j(-2) = -8
Hence, the value of the expression f(5) + j(-2) is -8
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What is the area of the nonagon given below? Please explain how you got the answer
Answer:
94
Step-by-step explanation:
add all the sides together
Sun cover manufactures umbrellas for a monthly fixed cost of $675,921.00 and a
variable cost per umbrella of $42.15. determine the break-even sales price per umbrella if sun cover manufactures 8,573 umbrellas per month
$109.95
$114.50
$120.99
$131.25
The break-even sales price per umbrella if sun cover manufactures the units is $120.99.
How to calculate the sales price?This can be done by using the formula:
Break even units = Total fixed cost / (Price - Variable cost)
8573 = 675921/(Price - 42.15)
8573(P - 42.15) = 675921
8573P - 361351.95 = 675921
8573P = 675921 + 361351.95
8573P = 1037273.4
P = 1037273.4/8574
P = $120.99
Therefore, the price is $120.99.
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a pie shop offers 20% off the price of a large pie every Monday night. If the regular price is $22, what is the discounted price?
brainliest to answrer
Answer:
$17.60
Step-by-step explanation:
20% of $22 is $4.4 - Subtract $4.40 from $22 to calculate the discounted price: $17.60
Hope this helped! :)
que numero elevado al cubo me da 19648
Answer:
[tex]4\sqrt[3]{307}[/tex] o 26.98398684 en forma decimal
Step-by-step explanation:
if you help me I will make you branliest
This exercise is about creating two-dimensional shapes. The resulting shape is a quadrilateral - Square. See the attached for the lines drawn.
What was noticed about the two lines drawn?
The two lines are drawn each had parallel pairs; andThey were perpendicular to one another.What is the meaning of perpendicularity?
When two lines intersect with one another such that they create a right angle, perpendicularity has occurred and both lines are said to be perpendicular to one another.
Hence:
AB ⊥ BCBC ⊥ CDCD ⊥ DA; and DA ⊥ AB.Learn more about perpendicularity at:
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Need help with this math question
Hey there!
Answer :[tex] \displaystyle{\orange{\boxed{\bold{\green{d = -5}}}}}[/tex]
[tex] \\ [/tex]
Explanation:[tex] \displaystyle{ \frac{4}{5}d + 3 = -2 - \frac{1}{5}d} \\ [/tex]
[tex] \hookrightarrow [/tex] Subtract 3 from both sides :
[tex] \\ \displaystyle{ \frac{4}{5}d + 3 \bold{ \red{ - 3} }} = \displaystyle{ - 2 - \frac{1}{5}d \bold{ \red{ - 3}} } \\ \\ \implies \displaystyle{\frac{4}{5}d = - \frac{1}{5}d - 5 } \: \: \: \: [/tex]
[tex] \\ \hookrightarrow [/tex] Add [tex] \frac{1}{5}d [/tex] to both sides :
[tex]\\ \displaystyle{\frac{4}{5}d \: \bold{ \blue{ + \frac{1}{5}d }} = \displaystyle{ - \frac{1}{5}d - 5 \: \bold{ \blue{ + \ \frac{1}{5}d }}}} \\ \\ \implies \displaystyle{\frac{5}{5}d = - 5} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \implies \displaystyle{\green{ \boxed{ \orange{{d = - 5}}}}} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]
Therefore, our answer is d = -5
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add [tex]\bf{\frac{1}{5}d }[/tex] on both sides.
[tex]\boldsymbol{\dfrac{4}{5}d+3+\dfrac{1}{5}d=-2 }[/tex]
combine [tex]\bf{\frac{4}{5}d }[/tex] and [tex]\bf{\frac{1}{5}d }[/tex] to get d.
[tex]\boldsymbol{d+3=-2}[/tex]
Subtract 3 from both sides.
[tex]\boldsymbol{d=-2-3}[/tex]
Subtract 3 from −2 to get −5.
[tex]\boxed{\boldsymbol{d=-5}} \ \ \to \ \ \bf{Answer}[/tex]
VerificationLet d=-5.
[tex]\sf{\dfrac{4}{5}\times-5+3=-2-\dfrac{1}{5}\times-5 }[/tex]
[tex]\rm{Apply \ this \ rule:\dfrac{a}{b}\times c=\dfrac{ac}{b} }[/tex]
[tex]\sf{\dfrac{4\times-5}{5}+3=-2-\dfrac{1}{5}\times-5 \ \ \to \ \ Multiply \ 4 \ by \ -5 }[/tex]
[tex]\sf{\dfrac{-20}{5}+3=-2-\dfrac{1}{5}\times-5 }[/tex]
[tex]\rm{Move \ the \ negative \ symbol \ to \ the \ left. }[/tex]
[tex]\sf{-\dfrac{20}{5}+3=-2-\dfrac{1}{5}\times-5 \ \ \to \ \ Simplify \ \frac{20}{5} \ to \ 4. }[/tex]
[tex]\sf{-4+3=-2- \dfrac{1}{5}\times-1 }[/tex]
[tex]\rm{Move \ the \ negative \ symbol \ to \ the \ left.}[/tex]
[tex]\sf{-4+3=-2-(-1) \ \ \to \ \ Simplify \ -4+3 \ to \ -1. }[/tex]
[tex]\sf{-1=-2-(-1) \ \ \to \ \ \to \ \ Remove \ parentheses. }[/tex]
[tex]\sf{-1=-2+1 \ \ \to \ \ Simplify \ -2+1 \ to \ -1.}[/tex]
[tex]\sf{-1=-1 \ \to \ Equality \ is \ met.}[/tex]
Checked ✅
[tex]\huge \red{\boxed{\green{\boxed{\boldsymbol{\purple{Pisces04}}}}}}[/tex]
Interest earned or paid on the principal is ___ interest
Answer:
simple interest
Step-by-step explanation:
SI = principal x rate x time
For all values of x
f(x) = 3x + 2
Find f-¹(-12)
Answer:
-4.67
Step-by-step explanation:
first find f^-1(x)
let f(x)=y
y=3x+2
3x=y-2
x=y-2/3
Therefore f^-1(x)=x-2/3
Now f^-1(-12)=-12-2/3
=-14/3
=-4.67
Jeff is going snowboarding this weekend and wants to determine the exact slope of this hill.
Answer:
-2/5
Step-by-step explanation:
the distance between -1 and -3 on the y-axis is 2. 2 is the rise of your slope. two find the run, find the distance between -5 and 0. The distance is negative 2. Rise over run equals the slope so -2/5 is the answer
TRUE OR FALSE
1. Standard units gives a consistent and accurate of the volume of a container.
TRUE OR FALSE ?
Answer:
True
Step-by-step explanation:
Cant really provide step by step per se.
Just look at this and answer it right someone please how.
Answer:
they are 10km 32 degrees far from each other
Step-by-step explanation:
scott - 100km - 30 degrees
spork - 110km - 62 degrees
how far = difference between them
as spork's distance and degrees are greater than scott we substract Scott's from spork's
110 - 100 = 10 km
62 - 30 = 32 degrees
they are 10km 32 degrees far from each other
Fill in the blank to complete the formula that represents 2, 4, 8, 16,...
Answer:
I'm not 100% sure about this question but the formula to get that is
(x-1) x 2 =y
Kapil's robot starts 70cm from its charging base. It faces the base, then turns 60 degrees clockwise, as shown. Finally, the robot moves 50cm. After moving, how far is the robot from the charging base? Do not round during your calculations. Round your final answer to the nearest centimeter.
The distance of the robot from the charging base is gotten as; 62 cm
How to use Cosine Rule?
From the image attached showing the movement of Kapil's robot, we can use cosine rule to find the value of h which is the distance of the robot from the charging base.
The distance of the robot from the charging base is gotten by;
h = x² + b² - 2xb cos 60
h = 50² + 70² - 2*50*70 * 0.5
h = 62 cm
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If LogN= 3.8609, find the value of N, to the nearest integer
[tex]~~~~~~~\log_{10} N = 3.8609\\\\\\\implies N = 10^{3.8609} ~~~~~~~~~;[\log_b c =d \implies b^d = c]\\\\\\\implies N \approx 7259[/tex]
Help please 50 PTS! I need this asap
Design your own statistical question that you can ask at least twenty different people. Keep in mind that the question should result in a variety of different numerical answers. What is your statistical question?
Answer:
How tall are you
ez clappp
evaluate and simplify the following complex fraction.:6/7 ÷ 3/11
Answer:
3 7/50
Step-by-step explanation:
so you need them to become common denominators
a common multiple they both have would be is 77
6/7 becomes 66/77 and 3/11 becomes 21/77
now we divide
keep the 66/77 as is and flip 21/77 (keep, change, flip)
so now our equation looks like this: 66/77 x 77/21
and your answer is 3.14
but as a fraction it is 157/50 and to simplified it would be 3 7/50 (mixed fraction)
please someone help me
Answer:
uh I'm not so sure but
Step-by-step explanation:
it might be 1664
Use Cramer’s rule to solve for x: x + 4y − z = −14 5x + 6y + 3z = 4 −2x + 7y + 2z = −17
Looks like the system is
x + 4y - z = -14
5x + 6y + 3z = 4
-2x + 7y + 2z = -17
or in matrix form,
[tex]\mathbf{Ax} = \mathbf b \iff \begin{bmatrix} 1 & 4 & -1 \\ 5 & 6 & 3 \\ -2 & 7 & 2 \end{bmatrix} \begin{bmatrix} x \\ y \\ z \end{bmatrix} = \begin{bmatrix} -14 \\ 4 \\ -17 \end{bmatrix}[/tex]
Cramer's rule says that
[tex]x_i = \dfrac{\det \mathbf A_i}{\det \mathbf A}[/tex]
where [tex]x_i[/tex] is the solution for i-th variable, and [tex]\mathbf A_i[/tex] is a modified version of [tex]\mathbf A[/tex] with its i-th column replaced by [tex]\mathbf b[/tex].
We have 4 determinants to compute. I'll show the work for det(A) using a cofactor expansion along the first row.
[tex]\det \mathbf A = \begin{vmatrix} 1 & 4 & -1 \\ 5 & 6 & 3 \\ -2 & 7 & 2 \end{vmatrix}[/tex]
[tex]\det \mathbf A = \begin{vmatrix} 6 & 3 \\ 7 & 2 \end{vmatrix} - 4 \begin{vmatrix} 5 & 3 \\ -2 & 2 \end{vmatrix} - \begin{vmatrix} 5 & 6 \\ -2 & 7 \end{vmatrix}[/tex]
[tex]\det \mathbf A = ((6\times2)-(3\times7)) - 4((5\times2)-(3\times(-2)) - ((5\times7)-(6\times(-2)))[/tex]
[tex]\det\mathbf A = 12 - 21 - 40 - 24 - 35 - 12 = -120[/tex]
The modified matrices and their determinants are
[tex]\mathbf A_1 = \begin{bmatrix} -14 & 4 & -1 \\ 4 & 6 & 3 \\ -17 & 7 & 2\end{bmatrix} \implies \det\mathbf A_1 = -240[/tex]
[tex]\mathbf A_2 = \begin{bmatrix} 1 & -14 & -1 \\ 5 & 4 & 3 \\ -2 & -17 & 2 \end{bmatrix} \implies \det\mathbf A_2 = 360[/tex]
[tex]\mathbf A_3 = \begin{bmatrix} 1 & 4 & -14 \\ 5 & 6 & 4 \\ -2 & 7 & -17 \end{bmatrix} \implies \det\mathbf A_3 = -480[/tex]
Then by Cramer's rule, the solution to the system is
[tex]x = \dfrac{-240}{-120} \implies \boxed{x = 2}[/tex]
[tex]y = \dfrac{360}{-120} \implies \boxed{y = -3}[/tex]
[tex]z = \dfrac{-480}{-120} \implies \boxed{z = 4}[/tex]
Answer:
in photo attached.
Step-by-step explanation:
Find the area of the shade regions. Give your answer as a completely simplify exact value in terms of pie(no approximation). a=
Answer:
125.6 in²
Step-by-step explanation:
Area shaded :
2 × Sector (72°)2 x πr² x θ/3602 x 3.14 x 100 x 72/3606.28 x 100 x 1/520 x 6.28125.6 in²According to the graph, what is the value of the constant in the equation
below?
Answer:
A
Step-by-step explanation:
height (y-axis) = constant × width (x-axis)
let's look at the point coordinates.
remember, an ordered pair of point coordinates consists of an x value and an associated (typically calculated by a function) y value.
we see that all y values are half of the x values (3 and 1.5, 2 and 1, 7 and 3.5, 8 and 4).
so, the constant in our equation is responsible for returning half of the x value back as the y value.
what constant factor turns a number in half ?
x × c = x/2
c = 1/2
and so, A is the right answer.
2(z+5) +5(z+ 2) = 10(z − 1)
Answer:
z = 10
Step-by-step explanation:
First apply multiplication to inside the parenthesis:
2(z+5) = 2z + 10
5(z+ 2) = 5z + 10
10(z − 1) = 10z - 10 now write the full equation
2z + 10 + 5z + 10 = 10z - 10 add like terms
7z + 20 = 10z - 10 transfer like terms to the same side of the equation
20 + 10 = 10z - 7z
30 = 3z divide both sides by 3
10 = z
HELP ASAP PLEASE (answer all parts please)
The upcoming championship high school football game is a big deal in your little town. The problem is, it is being played in the next biggest town, which is two hours away! To get as many people as you can to attend the game, you decide to come up with a ride-sharing app, but you want to be sure it will be used before you put all the time in to creating it. You determine that if more than three students share a ride, on average, you will create the app.
You conduct simple random sampling of 20 students in a school with a population of 300 students to determine how many students are in each ride-share (carpool) on the way to school every day to get a good idea of who would use the app. The following data are collected:
6 5 5 5 3 2 3 6 2 2
5 4 3 3 4 2 5 3 4 5
You will construct a 90% confidence interval and 95% confidence interval for the mean number of students who share a ride to school, then you will compare and interpret the results.
Part A: Decide which partner will construct each confidence interval, and then state the parameter and check the conditions.
Part B: Construct the confidence interval. Be sure to show all your work, including the degrees of freedom, critical value, sample statistics, and an explanation of your process.
Part C: Interpret, share, and compare. Interpret the meaning of the confidence interval, compare your results with your partner, and describe the difference in the width of the interval and the margin of error.
Part D: Use your findings to explain whether you should develop the ride-share app for the football game.
In this triangle, a = 6 cm, b = 8 cm, and c = 10 cm.
What is the area of this triangle?
24 cm²
30 cm²
40 cm²
48 cm²
Answer:
A) 24 cm²
Step-by-step explanation:
Area of a triangle formula:
A = 0.5bh
Given:
b = 6
h = 8
Work:
A = 0.5bh
A = 0.5(6)(8)
A = 3(8)
A = 24
[tex]\large{\underline{\underline{\pmb{\sf{\color{yellow}{Answer:}}}}}}[/tex]
Right answer is option A
24 cm²
Step-by-step explanation:
To find :-The area of triangle
Given :-a = 6 cm, b = 8 cm, c = 10 cm
Solution :-He know
[tex] \mathfrak {Area \: of \: triangle = \frac{1}{2} \times base \times height}[/tex]
Here (a) acts like base
while (b) acts like height
Now substituting the values
[tex] \sf \longmapsto Area = \frac{1}{2} \times a \times b \\ \\ \\ \sf \longmapsto Area = \frac{1}{2} \times 6 \times 8 \\ \\ \\ \sf \longmapsto Area = 3 \times 8 \\ \\ \\ \sf \purple{\boxed {\longmapsto Area = 24 \: {cm}^{2} }}[/tex]
Trying to solve this problem but I can’t
Answer:
option c I think as the correct answer.
Step-by-step explanation:
hope this helps you.
Find the ratio of the perimeter for the pair of similar two regular pentagons with areas 144 in² and 36 in²
The ratio between the perimeter of the largest and smallest pentagon is 2.
How to find the ratio between the perimeters?We know that the pentagons are similar, meaning that the dimensions of one of the pentagons is k times the dimensions of the other.
Because of this, the ratio between the areas is k squared. And because the perimeter depends linearly on the dimensions, the ratio between the perimeters will be equal to k.
So we need to find k, we will have:
[tex]\frac{144 in^2}{36 in^2} = k^2 = 4\\\\k = \sqrt{4} = 2[/tex]
Then we conclude that the ratio between the perimeters is k =2.
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For an experiment comparing two treatment conditions, an independent-measures design would obtain ____ score(s) for each subject and a repeated-measures design would obtain ____ score(s) for each subject.
The score(s) that will be obtained respectively in an independent-measures design and repeated-measures design are; 1 and 2
How to interpret Experiments?There are different ways to carry out an experiment in mathematics. This is because there are various means of research and also ways to interpret the results.
Now, when comparing two treatment conditions, an independent-measures design would always obtain 1 score for each subject. However, when a repeated-measures design is carried out on the same sample, it will obtain 2 scores.
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What is the answer to this question
Answer:8000 i think
Step-by-step explanation:
=20 to the power of nine-20 to the power of four=20 to the power of three.
20 to the power of three is 8000.
Hope this helps.
9. The figure below is made up of a rectangle and a semicircle.
What is the area, in square feet, of the figure? (Use = 3.14)
54
68.13
72.84
92.76
What is the quotient?
X+5/3x^2 + 4x+5
Answer:
3x - 11
Step-by-step explanation:
x + 5/ 3x-11
3x - 11 is the quotient
what is the volume of a cone with a radius of 4x and a height of 21xy^2?
The volume of a cone with radius of 4x and a height of 21xy² is 352 x³y²
How to calculate the volume of a cone
Using the formula:
V=πr²h/3
Where r= radius = 4x
h= height = 21xy∧2
Substitute the values into the equation
V = 22/7 × 4x × 4x × (21 × x × y × y) ÷ 3
V = 22/7 × 16x² × 7xy²
V= 22 × 16x² × xy²
Multiply all through
Volume, V = 352 x³y²
Therefore, the volume of the cone is 352 x³y²
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