Solve the equation and enter the value of x below. 7(x + 8) = 84
Hello!
7(x + 8) = 84 <=>
<=> 7x + 56 = 84 <=>
<=> 7x = 84 - 56 <=>
<=> 7x = 28 <=>
<=> x = 28 : 7 <=>
<=> x = 4
Good luck! :)
You and your friend are playing a game by tosing two coins land on different sides your friend wins the table shows the possible outcome? Is this a fair game
help me out please, thank you
Answer:
Answer D is TRUE because on the graph if you were to keep going left even after the picture of the graph ends, the graph will still keep going up infinitely.
Step-by-step explanation:
Suppose that the natural rate of unemployment in a particular year is 4 percent and the actual unemployment rate is 13 percent. Instructions: Enter your answers as a whole number. a. Use Okun's law to determine the size of the GDP gap in percentage-point terms. percent b. If potential GDP is $500 billion in that year, how much output is forgone because of cyclical unemployment? $ billion
Answer:
a. 18 percent
b. $90 billion
Step-by-step explanation:
a. Calculation to use Okun's law to determine the size of the GDP gap in percentage-point terms.
First step is to find the difference between ACTUAL RATE of unemployment and NATURAL RATE of unemployment
Difference=13%-4%
Difference= 9%
Based on the information above calculation we can see that the ACTUAL RATE of unemployment EXCEEDS the NATURAL RATE of unemployment by 9%, which indicates a CYCLICAL UNEMPLOYMENT.
Thus, According to Okun's law, this translates into an 18 % GDP gap in percentage-point terms (= 2 × 9%).
Therefore the the size of the GDP gap in percentage-point terms is 18 percent
b. Calculation to determine how much output is forgone because of cyclical unemployment
Forgone Output :
By applying Okun’s law we known that the GDP gap is 18%, which means that we are 18% below the GDP amount which is given as $500 billion,
Hence,
Output forgone = (18/100) ×$500 billion
Output forgone=0.18×$500 billion
Output forgone=$90 billion
Therefore the Forgone Output is $90 billion
The table shows the altitudes of four different cities. What is the correct way to arrange the altitudes in decreasing order?
City Altitude (feet)
Snowvale 13
Highbridge 58
Westsilver -51
Springmoor -35
A.
58, 13, -35, -51
B.
-51, -35, 13, 58
C.
-35, -51, 13, 58
D.
58, 13, -51, -35
Answer:
Step-by-step explanation:
i think A
Hope this helps!
Cutting of 11.25 by 15
Answer:
it may be 0.75 i am not sure
Answer:
answer will be 0.75
11.25÷15=0.75Antônia tem um caneca com a capacidade de 2/3Lde água. Que fração dessa caneca ela encherá com 1/2L de água?
Answer:
The fraction of cup filled with water is 3/4.
Step-by-step explanation:
Antonia has a mug with a capacity of 2/3L of water. What fraction of that mug will she fill with 1/2L of water?
Capacity = 2/3 L
Amount of water = 1/2 L
Fraction of amount of water to the capacity of mug is
[tex]\frac{1}{2}\div \frac{2}{3}\\\\\frac{3}{4}[/tex]
Which of the following is the equation of the quadratic function below?
Answer:
C y=x^2+2x+1
Step-by-step explanation:
On a multiple choice test, you earn 2 points for each correct answer, 1 point for every
question left blank, and you lose a point for every incorrect answer. Let C be the number of correct
answers, B be the number of questions left blank, and W be the number of incorrect answers.
a) Write an expression for a student's total score. Identify the coefficients and variables in each
term.
b) What type of polynomial is this mk
Answer:
2c+b-w It is a trinomial.
Step-by-step explanation:
Making the equation is pretty easy. Since you get 2 points for corrent answers, we can write down 2c. You get one point for blank, so you can write down 1b, or just b. And, since you get -1 point for each incorrect answer, you can write down -1w, or just -w.
So, if you put the equation together, you will get 2c+b-w for the equation.
Since this equation have 3 terms (2c, b, and w) seperated by the + and -, we know that it is a trinomial.
help me if tou don't then no brainlist for you
Answer:
Equal to 1,204-299
Step-by-step explanation:
Anything divided by 1 is equal to itself.
Please help me asap!
Answer:
Its 48
Step-by-step explanation:
subtract 69 and 56 from 173, what you have left is your answer
48
Step-by-step explanation:
total 176 subtract 69 and 58 since they are given.
176 - 69 -56 = 48
Date
Prove that sintheta sec theta+costheta cosec theta=
2 cosec 2theta
Answer:
See Below.
Step-by-step explanation:
We want to prove that:
[tex]\displaystyle \sin\theta\sec\theta+\cos\theta\csc\theta = 2\csc2\theta[/tex]
Let secθ = 1 / cosθ and cscθ = 1 / sinθ:
[tex]\displaystyle \frac{\sin\theta}{\cos\theta}+\frac{\cos\theta}{\sin\theta}=2\csc2\theta[/tex]
Creat a common denominator. Multiply the first fraction by sinθ and the second by cosθ. Hence:
[tex]\displaystyle \frac{\sin^2\theta}{\sin\theta\cos\theta}+\frac{\cos^2\theta}{\sin\theta\cos\theta}=2\csc2\theta[/tex]
Combine fractions:
[tex]\displaystyle \frac{\sin^2\theta + \cos^2\theta}{\sin\theta\cos\theta}=2\csc2\theta[/tex]
Simplify. Recall that sin²θ + cos²θ = 1:
[tex]\displaystyle \frac{1}{\sin\theta\cos\theta}=2\csc2\theta[/tex]
Multiply the fraction by two:
[tex]\displaystyle \frac{2}{2\sin\theta\cos\theta}=2\csc2\theta[/tex]
Recall that sin2θ = 2sinθcosθ. Hence:
[tex]\displaystyle \frac{2}{\sin2\theta}=2\csc2\theta[/tex]
By definition:
[tex]\displaystyle 2\csc2\theta = 2\csc2\theta[/tex]
Hence proven.
A skydiver jumps from an airplane and accelerates toward the ground. His velocity can be modeled by the function
v(t) = 1000t/5t+8, where v (t) is the velocity in feet per second, and t represents time in seconds. Due to air resistance, there is
a limiting velocity the skydiver will not exceed, called the "terminal velocity". At terminal velocity, the velocity does not
continue to increase. What is the terminal velocity? Justify your answer.
Answer:
The terminal velocity is 8.00ft/s
Step-by-step explanation:
Given
[tex]v(t) = 1000t^2 - 5t + 8[/tex]
Required
The terminal velocity
This implies that we calculate the maximum velocity.
First, we calculate the maximum value of t using:
[tex]t_{max} = -\frac{b}{2a}[/tex]
Where:
[tex]v(t) = at^2 + bt + c[/tex]
So, we have:
[tex]t_{max} = -\frac{-5}{2*1000}[/tex]
[tex]t_{max} = \frac{5}{2000}[/tex]
[tex]t_{max} = 0.0025[/tex]
Substitute this value of t in [tex]v(t) = 1000t^2 - 5t + 8[/tex] to get the maximum velocity
[tex]v(t) = 1000t^2 - 5t + 8[/tex]
[tex]v(t) = 1000 * 0.0025^2 - 5 * 0.0025 + 8[/tex]
Using a calculator, we have:
[tex]v(t) = 7.99375[/tex]
Approximate
[tex]v_{max} = 8.00ft/s[/tex]
Velocity is the rate of change of its position with respect to time. The terminal velocity of the skydiver is 200 ft/sec.
What is velocity?Velocity is the rate of change of its position with respect to time.
[tex]V = \dfrac{dy}{dt}[/tex]
Given the velocity of the skydiver by the function v(t)=1000t/(5t+8), after some time, the velocity will become terminal velocity and then it can not be increased further, therefore, the terminal velocity can be written as,
[tex]\lim_{t \to \infty} V(t) = \lim_{t \to \infty} \dfrac{1000t}{5t+8}\\\\[/tex]
[tex]= \lim_{t \to \infty} \dfrac{\frac{1000t}{t}}{\frac{5t}{t}+\frac{8}{t}}\\\\[/tex]
[tex]= \dfrac{1000}{5+\frac{8}{t}}\\\\= \dfrac{1000}{5}\\\\=200[/tex]
Hence, the terminal velocity of the skydiver is 200 ft/sec. It can be confirmed by plotting the function on the graph.
Learn more about the Terminal Velocity:
https://brainly.com/question/18084516
#SPJ5
Which arcs are congruent?
OSP and SR
O PQ and SR
O PQ and QR
O SP and PR
PLEASE HELP
the answer is in the picture
The congruent arcs are P Q and S R
What is congruent?In geometry, congruent refers to equality, agreement in form.
Given:
< P T Q = < S T R
since they are congruent they are equal therefore arcs formed from them are congruent .
Arcs formed from them
P Q is from < P T QS R is from < S T RRead more on congruent here: https://brainly.com/question/2938476
Area of this figure
The two triangles below are congruent. Which of the following are congruent by CPCTC?
Answer:
B.
Step-by-step explanation:
If you put the second triangle upright then turn it over (as if you were flipping a pancake). That would make B equal to R.
C would equal S
A would equal T
and
B would equal R
Answer:
b = R, mark me brainiest cause we besties
Step-by-step explanation:
You have a giant bag of M&Ms and are wondering how many there are. You notice that there don’t seem to be nearly as many
orange M&Ms, so that feels doable to count. When you count the number of orange M&Ms in the giant bag you find that there are
48. If you then take a random sample and find that out of the 50 M&Ms you select, 3 of them are orange, how many M&Ms would
you estimate are in the giant bag?
Answer:
800 M &Ms
Step-by-step explanation:
First, we can operate on the estimate that the proportion of M&Ms of the sample is equal to the proportion of M&Ms in the giant bag.
Therefore,
number of orange M&Ms in sample / sample size = number of orange M&Ms in bag / bag size
3/50 = 48 / bag size
multiply both sides by 50 to remove a denominator
3 = 48 * 50 / bag size
multiply both sides by bag size to remove the other denominator
3 * bag size = 48 * 50
divide both sides by 3 to isolate bag size
bag size = 48 * 50 / 3
bag size = 800 M &Ms
Given that (-1,-3) is on the graph of f(x), find the corresponding point for the function -3f(x).
Answer:
Step-by-step explanation:
(3,9)
the length of each side of a nonagon is 3.25cm the perimeter of the nonagon is?
a,12.25
b,29.25m
c,29.25
d,none
Answer:
,29.25m
Step-by-step explanation:
maybe answer is correct
Answer: B. 29.25 cm
Step-by-step explanation:
Given
The prefix nona- came from Latin meaning "nineth"
Thus, nonagon has 9 sides
Solve
1 side = 3.25 cm
9 sides = 3.25 × 9 = 29.25 cm
Hope this helps!! :)
Please let me know if you have any question
line F has a slope of. -6/3 and line G has a slope of -8/4.
what can be determined about distinct lines F and G?
Given:
Slope of line F = [tex]-\dfrac{6}{3}[/tex]
Slope of line G = [tex]-\dfrac{8}{4}[/tex]
To find:
The conclusion about distinct lines F and G.
Solution:
We have,
Slope of line F = [tex]-\dfrac{6}{3}[/tex]
= [tex]-2[/tex]
Slope of line G = [tex]-\dfrac{8}{4}[/tex]
= [tex]-2[/tex]
The slopes of lines F and G are equal and we know that the slopes of two parallel lines are always equal.
Therefore, the line F and line G are parallel to each other.
PLS HELP !!!
a. 15
b. 1
c. 2
d. 11
Answer:
d
Step-by-step explanation:
ive had this exac problem before
Answer:
B. 1
Step-by-step explanation:
Since the sides are equal to each other, the equations will be equal.
4x + 7 = x + 10
-7 -7
---------------------
4x= x + 3
-x -x
-------------
3x = 3
---- ---
3 3
x = 1
The answer is 1.
Abc similar to def the area of abc is 45cm and the area of triangle def is 20cm one side of triangle abc is 3.6cm the the length of corresponding side of triangle def is
Answer:
2.4cm
Step-by-step explanation:
the area of a triangle is
baseline × height / 2
that means two lengths of the triangle have to be multiplied.
and to have 2 similar triangles means that all lengths inside one triangle are the corresponding lengths inside the other triangle multiplied by the scaling factor f.
multiplying 2 if these lengths with each other means also including the square of the scaling factor (multiplying with the scaling factor twice).
so, if the area of triangle 1 is
"baseline 1" × "height 1" / 2 = 45 cm²
then the area of triangle 2 is
"baseline 2" × "height 2" / 2 =
= "baseline 1"×f × "height 1"×f /2 =
= "baseline 1" × "height 1" × f² / 2 =
= ("baseline 1" × "height 1" / 2) × f² =
= 45 × f² = 20 cm²
f² = 20/45 = 4/9
f = 2/3
so, for a side of ABC being 3.6cm long, that means the corresponding side in DEF is
3.6 × f = 3.6 × 2/3 = 7.2/3 = 2.4cm
if x = 3 and y = 2, then the value of ( x - y )(x² + xy + y²) is
(a) 31 (b) 19 (c) 1 (d) 25
Answer:
19
Step-by-step explanation:
(3-2)(3^2+3x2+2^2)
(1)(9+6+4)
(1)(19)
[tex]\displaystyle\bf \underbrace{ (x-y)(x^2+xy+y^2)}}_{x^3-y^3}=3^3-2^3=19\\\\Answer: b)19[/tex]
need help w question in this pic thanks!!
Given:
A figure of a circle.
To find:
The value of x.
Solution:
First label the given figure as shown below.
In triangle ABO,
[tex]OA=OB[/tex] (Radii of same circle)
[tex]\Delta ABO[/tex] is an isosceles triangle. (By the definition of isosceles triangle)
[tex]\angle OAB\cong \angle OBA[/tex] (Base angles of an isosceles triangle)
[tex]m\angle OAB=m\angle OBA[/tex]
[tex]42^\circ=m\angle OBA[/tex]
In triangle ABO,
[tex]m\angle AOB+m\angle OAB+m\angle OBA=180^\circ[/tex] (Angle sum property)
[tex]m\angle AOB+42^\circ+42^\circ=180^\circ[/tex]
[tex]m\angle AOB=180^\circ-42^\circ-42^\circ[/tex]
[tex]m\angle AOB=96^\circ[/tex]
Now,
[tex]m\angle AOB+m\angle BOC=180^\circ[/tex] (Linear pair)
[tex]96^\circ+x=180^\circ[/tex]
[tex]x=180^\circ-96^\circ[/tex]
[tex]x=84^\circ[/tex]
Therefore, the value of x is 84 degrees.
15 years from now Renu will be four times her present age. What is Renu's present age?
Answer:
5 years
Step-by-step explanation:
(x+15)=4x
15=4x-x
15=3x
5=x
Someone please help me with this algebra problem
Answer:
$110
Step-by-step explanation:
We are looking for the decrease in money per desk purchased. Because the x-axis is the number of desks purchased, what we have to find is the (opposite) of the slope. The formula to represent slope can be written as:
[tex]\frac{y_{2} -y_{1} }{x_{2}- x_{1} }[/tex]
We can substitute the points given, (2, 480) and (5, 150) and simplify:
[tex]\frac{150-480}{5-2} =\frac{-330}{3} = -110[/tex]
We would multiply by -1 because we are asking for the decrease, and negative increase is decrease. -1 * -110, gives us $110
Uma empresa do ramo de confecções produz e comercializa calças jeans. Se x representa a quantidade produzida e comercializada (em milhares de reais) e L(x) = -x² + 8x – 16 representa o lucro (em milhares de reais) da empresa para x unidades, então quando L(x) = 0 a empresa terá produzido e comercializadas quantas unidades dessas calças jeans? *
Answer:
I am in 5 classso i did not known answer
5 tons of sand cost $7,200.00. What is the price per pound?
Answer:
$0.72 per pound
Step-by-step explanation:
1 ton = 2000
5 tons = 10000
10000 lb = $7200
7200/10000 = 0.72
0.72 dollars a pound
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
For his long distance phone service, Justin pays a $3 monthly fee plus 11 cents per minute. Last month, Justin's long distance bill was $12.79. For hov minutes was Justin billed?
Answer:
89 minutes
Step-by-step explanation:
let he talked for x minutes.
$12.79=1279 cents
1279=300+11x
11x=1279-300=979
x=89
POINTS!!
Draw a diagram of the archway modeled by the equation y = -x2 + 5x + 24. Find and label the y-intercept and the x-intercepts on the sketch. Then find and label the width of the archway at its base and the height of the archway at its highest point, assuming the base of the archway is along the x-axis.
Answer:
1) Please find the attached drawing of the archway created with MS Excel
2) The y-intercept is (0, 24)
The x-intercepts are (-3, 0), and (8, 0)
3) The width of the archway at its base is 11
The height of the archway at its highest point = 30.25
Step-by-step explanation:
The given function representing the archway is y = -x² + 5·x + 24
1) Please find attached the required drawing of the archway created with MS Excel
2) The y-intercept is given by the point where x = 0
Therefore, we have, the y-value at the y-intercept = -0² + 5×0 + 24 = 24
The y-intercept = (0, 24)
The x-intercept is given by the point where y = 0
Therefore, the x-values at the x-intercept are found using the following equation;
0 = -x² + 5·x + 24
x² - 5·x - 24 = 0
By inspection, we have;
x² - 8·x + 3·x - 24 = 0
x·(x - 8) + 3·(x - 8) = 0
∴ (x + 3) × (x - 8) = 0
Either (x + 3) = 0, and x = -3, or (x - 8) = 0, and x = 8
Therefore, the x-intercepts are (-3, 0), and (8, 0)
3) The width of the archway at its base = The distance between the x-values at the two x-intercepts
∴ The width of the archway at its base = 8 - (-3) = 11
The highest point of the arch is given by the vertex of the parabola, y = a·x² + b·x + c, which has the x-value of the vertex = -b/(2·a)
∴ The x-value of the vertex of the given parabola, y = -x² + 5·x + 24, is x = -5/(2×(-1)) = 2.5
Therefore;
The y-value of the vertex, is y = -(2.5)² + 5×2.5 + 24 = 30.25 = The height of the archway at its highest point
∴ The height of the archway at its highest point = 30.25.