Answer:
the prime numbers between 30 and 40 are 31 and 37 come on its so easy
Triangle ABC = Triangle ADF, AD = 18, BC = 17, DF= [?]
The value of the length DF is 17
How to determine the length DF?The statement Triangle ABC = Triangle ADF means that the triangles ABC and ADF are congruent triangles.
So, we have:
AB = AD
AC = A F
BC = DF
Given that BC = 17;
The equation BC = DF becomes
17 = DF
Rewrite as:
DF = 17
Hence, the value of the length DF is 17
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A tower, 50 feet high, is secured with a guy wire anchored 8
feet from the base of the tower. What angle will the guy wire
make with the ground?
The tangent of an angle is the ratio of perpendicular to the base. The angle will the guy wire makes with the ground will be 80.91°.
What is trigonometry?The connection between the lengths and angles of a triangular shape is the subject of trigonometry.
A tower, 50 feet high, is secured with a guy wire anchored 8 feet from the base of the tower.
The angle will the guy wire makes with the ground will be given by the tangent.
The tangent of an angle is the ratio of perpendicular to the base.
Then we have
tan θ = 50/8
tan θ = 6.25
θ = tan ⁻¹ (6.25)
θ = 80.9097
θ ≅ 80.91°
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From the set {1, 2, 3, 4}, use substitution to determine which value of x makes the equation true. 4x = 8
Write the converse of the statement
below.
If it is 9 a.m., then I am awake.
Answer:
if I am awake then it is 9 am.
Step-by-step explanation:
if p then q the converse is if q then p.
ch of these is the absolute value parent function?
A. f(x) = x
B. f(x) = x^2
C. f(x) = |x|
D. f(x) = 2^x
Answer:
[tex] \text{C.} \: f(x) \: = \: |x| [/tex]
Step-by-step explanation:
To identify the absolute value of a number, it will always be represented between two sticks.
MissSpanishHELP WITH THE RIGHT ASNWER FOR BRAINLIEST!!!!
Graph the line with slope 3 passing through the point (2,1).
Two dice are rolled. Event A is that the sum of the numbers is 7 or 11. Event B is that the sum of the numbers is 11 or 12. Find the probability of Event A or B(A union B)
Answer:
the probability is %25 percent :P
Step-by-step explanation:
I want to buy a car for $17,500 and I make 13 an hour roughly how long would it take me to reach my goal? & how many hours would i have to work ?
Answer:
1347 hours
Step-by-step explanation:
Assuming the income is net income (total after taxes etc.):
Cost of car = $17,500Net income = $13 per hourTo calculate the number of hours to be worked to save enough to buy the car, divide the cost of the car by hourly net income:
[tex]\begin{aligned}\implies \textsf{Number of hours to work} & = \dfrac{\textsf{Cost of car}}{\textsf{hourly net income}}\\\\& = \sf \dfrac{17500}{13}\\\\& = \sf 1346.1538...\end{aligned}[/tex]
We have to round the number up to 1347 hours, as only $17,498 will be saved if 1346 hours are worked.
The average working week is approximately 40 hours, therefore to calculate how many weeks it would take to earn enough money to purchase the car, divide the number of hours by 40:
⇒ 1347 ÷ 40 = 33.675
So it would take 34 weeks, working an average of 40 hours a week and not spending any of the money earned, to save enough to purchase the car.
Total hours
Cost/Earnings17500/131346.15Round to the next whole instead of nearest whole to avoid depicit
1347 hours you have to work atleastIn most of the countries the average working hours per week is
45 hoursTotal weeks
1347/4529.930weeks you have to work if you don't spend any money of itbelle walks 7/10 mile each morning, and 1, 4/10 miles each evening.
how many miles does she walk in 5 days
Answer:
10.5 miles.
Step-by-step explanation:
If she walks 7/10 of a mile each morning, and 1, 4/10 of a mile each day, Belle walks a total of 2 1/10 of a mile each day (2.1) miles each day)
We can just multiply the amount of miles per day by 5, (2.1 x 5) and we get 10.5 miles total.
Answer:
10 1/2
Step-by-step explanation:
divide 7/10 which is 0.7 then multiply that by 5 which is 3.5
then divide 4/10 which is 0.4 then multiply that by 5 which is 2, but add 5 which is 7.
then combine all of that together which is 3.5+7= 10.5
then convert that into a fraction which is 10 1/2
-6 3/5 - (-7 4/15) + 2 1/5
The answer to your question would be 43/15 or 2.866 and ongoing.
6E and 7 with full explanation
Answer:
See below ~
Step-by-step explanation:
Question 6(e) :
⇒ x² ≤ 16
Take square root on each side :
⇒ √x² ≤ √16
⇒ x ≤ 4 and x ≥ -4
⇒ -4 ≤ x ≤ 4
⇒ x² ≤ 16
Apply the absolute rule if x² < a then -√a < x < √a
⇒ -√16 ≤ x ≤ +√16
⇒ -4 ≤ x ≤ 4
Part 7First of all, The student should have subtracted both sides by 4
What he should have done:
[tex]\rightarrow \sf \dfrac{3}{x-2} > 4[/tex]
[tex]\rightarrow \sf \dfrac{3}{x-2} -4 > 4 -4[/tex]
[tex]\rightarrow \sf \dfrac{3}{x-2} -\dfrac{4(x-2)}{x-2} > 0[/tex]
[tex]\rightarrow \sf \dfrac{3-4(x-2)}{x-2}} > 0[/tex]
[tex]\rightarrow \sf \dfrac{3-4x+8}{x-2}} > 0[/tex]
[tex]\rightarrow \sf \dfrac{-4x+11}{x-2}} > 0[/tex]
[tex]\sf \large \boxed{\sf {\left \{ {{-4x+11 = 0} \atop {x-2 = 0}} \right. }}[/tex]
⇒ -4x + 11 = 0, x - 2 = 0
⇒ -4x = -11, x = 2
⇒ x = 11/4 , x = 2
Solution satisfying the inequality:
⇒ 2 < x < 11/4
Solve this system of equations by using the substitution method. y=2x-5 6x+7=y
Answer:
[tex]x = - 3 \: and \: y = - 11[/tex]
Step-by-step explanation:
L
[tex]since \: y = 2x - 5(equation \: 1) \: \\ [/tex]
[tex]substitute \: for \: y \: in \: equation \: 2 \: (6x + 7 = y)[/tex]
[tex]6x + 7 = y \\ 6x + 7 = 2x - 5 \\ collect \: like \: terms \\ 6x - 2x = - 5 - 7 \\ 4x = - 12 \\ x = \frac{ - 12}{4} \\ x = - 3[/tex]
[tex]substitute \: for \: x in \: equation \: 1[/tex]
[tex]y = 2x - 5 \\ y = 2( - 3) - 5 \\ y = - 6 - 5 \\ y = - 11[/tex]
Answer:
[tex]y = 2.x = \frac{1}{11} [/tex]
Step-by-step explanation:[tex] \binom{x - 56x + 7 = y}{y = 2} [/tex]
_______________________
1. Substitute y = 2 :
[tex](x - 56x + 7 = 2)[/tex]
2. Simplify :
[tex]( - 55x + 7 = 2)[/tex]
3. Isolate x for [tex]( - 55x + 7 = 2) : x = \frac{1}{11} [/tex]
4. The solution of the system of equations are :
[tex]y = 2.x = \frac{1}{11} [/tex]
HELP WITH THIS MATH QUESTION!!! I DONT KNOW HOW TO DO THIS
The similarity relationship is AC / EC = AB / ED.
The length of AB is 157.50m.
What is the length of AB?When two triangles are similar, the ratio of the known sides of the triangles can be used to determine the length of the side of the unknown length.
The similarity relationship is : AC / EC = AB / ED
AC = 160 + 50 = 210
210 / 160 = AB / 120
AB = (210 X 120) / 160 = 157.50
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The table lists the test scores William and Andre received on five math assessments.
William’s Scores Andre’s Scores
89
90
97
74
78
73
81
87
91
82
Which statement best describes the difference of the mean of the two data sets?
statement best describes the difference of the mean of the two data sets 2.8 is about 1.5 times the mean absolute deviation of either set.
What is mean?Mean is the average of the given numbers and is calculated by dividing the sum of given numbers by the total number of numbers.
The mean of William's set.
To find the mean, add all of the data points together and divide by the number of data points:
=89+90+97+74+78/5
=85.6
Now, mean absolute deviation,
=|89-85.6|+|90-85.6|+|97-85.6|+|74-85.6|+|78-85.6|/5
= 3.4+4.4+11.4+11.6+7.6/5
=7.68.
The mean of Andre's set.
To find the mean, add all of the data points together and divide by the number of data points:
=73+81+87+91+82/5
=82.8
Now, mean absolute deviation,
=|73-82.8|+|81-82.8|+|87-82.8|+|91-82.8|+|82-82.8|/5
=9.8+1.8+4.2+8.2+0.8/5
= 4.96.
Hence, the difference between the means of the two sets is
85.6-82.8=2.8.
2.8 is about 1.5 times the mean absolute deviation of either set.
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Answer:
Step-by-step explanation:
nothing im just as lost as everyone else
You bought 3 pounds of strawberries and 1 pound of blueberries for $8.40 to make pies for the summer festival. Your friend helped and bought 2 pounds of strawberries and 2 pounds of blueberries for $10.08. How much did a pound of blueberries cost? Let the cost of each pound of strawberries =x and the cost of each pound of blueberries = y
Step-by-step explanation:
3x + y = 8.4
2x + 2y = 10.08
x + y = 5.04
y = 5.04 - x
we use this then in the first equation
3x + 5.04 - x = 8.4
2x = 3.36
x = 3.36/2 = $1.68
y = 5.04 - x = 5.04 - 1.68 = $3.36
blueberries cost $3.36 per pound.
Find the slope of a line parallel to the line that passes through (-4, -1) and (-1, 3)
Answer:
[tex] \boxed{\rm \: Slope(m)= \cfrac{4}{ 3} }[/tex]
OR
[tex] \boxed{\rm \: Slope(m) \approx \: 1.30} \rm \: (nearest \: tenth)[/tex]
Step-by-step explanation:
Given two coordinates:
(-4, -1) and (-1, 3)To Find:
The slope of given two coordinatesSolution:
In this case,we'll need to use the slope's formula,to get the slope.
Here's the formula:
[tex] \rm \: Slope(m)= \: \cfrac{ y_2 -y_1 }{x_2 - x_1} [/tex]
Slope is usually denoted as m.According to the question:
[tex] \rm (y_2 , y _1) = (3,-1)[/tex][tex]\rm (x_2 , x_1) = (-1,-4)[/tex]Substitute them accordingly:
[tex] \rm \: Slope(m)= \cfrac{3 - ( - 1)}{ - 1 - ( - 4)} [/tex]
Simplify then, using a rule called PEMDAS.
[tex] \rm \: Slope(m)= \cfrac{3 + 1}{ - 1 +4 } [/tex]
[tex] \rm \: Slope(m)= \cfrac{4}{ 3} [/tex]
[tex] \rm \: Slope(m) \approx \: 1.30[/tex]
Hence, we can conclude that:
The slope of a line parallel to the line that passes through (-4, -1) and (-1, 3) is 4/3 in exact form and 1.30 in approximate decimal form.Hi student, let me help you out! :)
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
We are asked to find the slope of a line parallel to the line that passes through
[tex]\star~\mathrm{(-4,-1)}\star[/tex]
[tex]\star~\mathrm{(-1,3)}[/tex]
[tex]\triangle~\fbox{\bf{KEY:}}[/tex]
The slope formula will help us out! :)Here's the formula:
[tex]\star\boxed{\mathrm{\cfrac{y2-y1}{x2-x1}}}[/tex]
y2 and y1 are y-coordinates
x2 and x1 are x-coordinates
Substitute the given values:
[tex]\star\mathrm{\cfrac{3-(-1)}{-1-(-4)}}[/tex]
Simplify!
[tex]\star\mathrm{\cfrac{3+1}{-1+4}}[/tex]
Simplify more!
[tex]\star\mathrm{\cfrac{4}{3}}[/tex]
Now, what is the slope of the line parallel to this one?
Well, parallel lines have the same slope.
[tex]\star \ \mathrm{The \ slope \ of \ the \ line \ parallel \ to \ this \ one \ is \ \cfrac{4}{3}}.[/tex]
Hope it helps you out! :D
Ask in comments if any queries arise.
#StudyWithBrainly
~Just a smiley person helping fellow students :)
Which expression is equivalent to – 2 log2 x + 4 log2 y + 4 log2 z? log base 2 of the quantity x squared y to the fourth all divided by z to the fourth log base 2 of the quantity y to the fourth z to the fourth all divided by x squared log base 2 of the quantity y times z to the fourth all divided by x squared log base 2 of the quantity yz divided by x end quantity raised to the sixth
The expression equivalent to -2log₂x + 4log₂y + 4log₂z is log₂(yz)⁴/x².
To answer the question, we need to know the laws of logarithm
Laws of logarithmpower law - nlogₐx = logₐxⁿaddition law - logₐx + logₐy = logₐxySince we want to find the expression equivalent to -2log₂x + 4log₂y + 4log₂z, we simplify using these laws, we have
-2log₂x + 4log₂y + 4log₂z = log₂x⁻² + log₂y⁴ + log₂z⁴ (appying the power law)
= log₂x⁻²y⁴z⁴ (applying the multiplication law)
= log₂y⁴z⁴/x²
= log₂(yz)⁴/x²
So, the expression equivalent to -2log₂x + 4log₂y + 4log₂z is log₂(yz)⁴/x².
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Answer:
C.log_2(yz^4/x^2)
Step-by-step explanation:
I took the Algebra exam
EASY 5TH GRADE QUESTION. WILL GIVE BRAINLIEST
How would you read the number -30?
Answer:
Negative thirty
Step-by-step explanation:
If f(n) = 2n^2 + 2 and g(n) = n + 1, what is (f -g)(n) when n = -1?
What is the value of x? 2 3 6 7
Answer:
6
Step-by-step explanation:
Answer:
2 or A
Step-by-step explanation:
Correct on edge22
If p+q = - 2, show that p^3 + q^3 +8 =6pq
Answer:
Step-by-step explanation:
Algebraic Identities:Identity used: (a +b)³ = a³ + b³ + 3ab(a +b)
p + q = -2 ------------------(I)
Both sides take cube,
(p +q)³ = (-2)³
a = p and b =q
p³ + q³ + 3pq(p +q) = -8
p³ + q³ + 3pq*(-2) = - 8 {From (I)}
p³ + q³ - 6pq = -8
p³ + q³ = -8 + 6pq
p³ + q³ + 8 = 6pq
Hence, proved.
i needs help with it please
The triangle are similar because they satisfy the AAA postulate : Triangle ABC ~ Triangle PQR ( AAA similarity postulate )
Meaning of congruent trianglesA triangle can be defined as a plain shape that has three sides and three angles.
Congruent triangles are triangles that satisfy one or more congruence postulates or laws. The triangles could either be similar based on their angles or sides or angles and side being similar.
In conclusion, The triangle are similar because they satisfy the AAA postulate : Triangle ABC ~ Triangle PQR ( AAA similarity postulate )
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What is the value of x???
The given polygon isa pentagon and the sum of its exterior angle is 360°. The value of x from the given polygon is 8
Sum of the exterior angle of a polygonThe given polygon isa pentagon and the sum of its exterior angle is 360°.
Take the sum of the angles and equate to 360° as shown;
77 + 66 + 62+ 59 + 12x = 360°
264 + 12x = 360
12x = 96
x = 8
Hence the value of x from the given polygon is 8
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Question 6 of 10 In order to solve the following system of equations by addition, which of the following could you do before adding the equations so that one variable will be eliminated when you add them? 2x - 4y = 5 6x - 3y=10 A. Multiply the top equation by -2. B. Multiply the top equation by -3 and the bottom equation by 2. C. Multiply the top equation by 3 and the bottom equation by 4. D. Multiply the top equation by -3. SUBMIT
???
Multiply the top equation by -3 and then adding both the equations one variable will be eliminated. So the correct answer is option D.
What is an equation?
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
We are having two equations:-
2x - 4y = 5
6x - 3y=10
When we multiply the first equation by -3 the equation will become as follows:-
-6x + 12y = - 15
6x - 3y = 10
By adding both the equations one variable will be eliminated:-
9y = - 5
Therefore Multiply the top equation by -3 and then add both the equations one variable will be eliminated. So the correct answer is option D.
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Activity 2 :Collect the information on any one of the famous Mathematician :a) b) Bhaskara c) Shri Niwasan Ramanujan Aryabhatta please
Answer:
Bhāskara was a 7th-century mathematician and astronomer, who was the first to write numbers in the Hindu decimal system with a circle for the zero, and who gave a unique and remarkable rational approximation of the sine function in his commentary on Aryabhata's work.
Aryabhatta is the father of Indian mathematics. He was a great mathematician and astronomer of ancient India. His major work is known as Aryabhatiya. It consists of spherical trigonometry, quadratic equations, algebra, plane trigonometry, sums of power series, arithmetic.
Step-by-step explanation:
hope it helps you and give brainliest
Find the amount of simple interest on a loan of $2,500 at 4.44% interest for 12.75 months. (Round to the nearest cent)
A cylinder has a base radius of 9 feet and a height of 4 feet. What is its volume in
cubic feet, to the nearest tenths place?
The volume of the cylinder will be equal to 1017.87 cubic feet.
What is volume?Volume is defined as the space occupied by any object in the three-Dimensions. For the cylinder, the volume will be calculated by radius and the height of the cylinder.
Given that:-
The volume of the cylinder will be calculated by using the formulas below:-
V = πr²h
V = π ( 9 )² 4
V = 1017.87 cubic feet.
Therefore the volume of the cylinder will be equal to 1017.87 cubic feet.
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The graph of which of the following equations has a slope of -and an x-intercept of
(-6,0)?
A y=-x-6
B. y = − ½ x − 3
-
C. y = -x +3
D. y = -x +6
The answer is A
[tex]y = - x - 6 \\ 0 = - x - 6 \\ x = - 6[/tex]
so x intercept : (-6,0)
and slope is negative
Hope it helps
Please give brainliest
The equation of line which a slope is -1 and an x-intercept of (-6,0) will be;
⇒ y = - x - 6
What is Equation of line?The equation of line in point-slope form passing through the points (x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
The slope of the line = - 1
And, The x-intercept = (- 6, 0)
Now,
Let the equation of line;
⇒ y = - x - 6
Slope (m) = dy/dx = - 1
And, The x - intercept is find as;
Put y = 0;
⇒ y = - x - 6
⇒ 0 = - x - 6
⇒ x = - 6
Thus, The correct equation is,
⇒ y = - x - 6
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50pts PLEASE HURRY UP I WILL GIVE BRAINLEST SHOW ALL OF YOUR WORK ANSWER ALL THE QUESTIONS
Use the spinner to answer the practice problems below:
Alice spins the spinner 2 times
What is the probability that the spinner stops on A and then B. or on B and then A?
Maria will spin the arrow on the spinner 2 times.
What is the probability that the arrow will stop on the same letter twice?
Answer:
In two spins, there are 9 possible outcomes: AA, AB, AC, BA, BB, BC, CA, CB, CCIf we assume each of these is equally likely, then the probability of AB or BA is ... 2/9
Step-by-step explanation:
The data below represent a demand schedule.
Product Price: $30, $25, $20, $15, $10
Quantity Demanded: 5, 15, 25, 35, 45
Using the midpoint approach, determine the price elasticity of demand between each of the following prices:
A. Between P1 = $30 & P2 = $25, Ed=?
B. Between P1 = $25 & P2 = $20, Ed=?
C. Between P1 = $20 & P2 = $15, Ed=?
D. Between P1 = $15 & P2 = $10, Ed=?
Round your answers to two decimal places. Enter your answers as a positive value (absolute value).
By using the midpoint approach, the price elasticity of demand between each of the given prices are:
5.502.251.170.63What is the price elasticity of demand?The price elasticity of demand measures the responsiveness of the quantity demanded by a consumer with respect to a specific change in price of the product, all things being equal (ceteris paribus).
By using the midpoint approach, the price elasticity of demand between each of the given prices is given by:
Price elasticity of demand = (Q₂ - Q₁)/[(Q₂ + Q₁)/2]/(P₂ - P₁)/[(P₂ + P₁)/2]
Price elasticity of demand = (15 - 5)/[(15 + 5)/2]/(25 - 30)/[(25 + 30)/2]
Price elasticity of demand = 1/-0.1818
Price elasticity of demand = 5.50.
Part B.Price elasticity of demand = (Q₂ - Q₁)/[(Q₂ + Q₁)/2]/(P₂ - P₁)/[(P₂ + P₁)/2]
Price elasticity of demand = (25 - 15)/[(25 + 15)/2]/(20 - 25)/[(20 + 25)/2]
Price elasticity of demand = 0.5/-0.2222
Price elasticity of demand = 2.25.
Part C.Price elasticity of demand = (Q₂ - Q₁)/[(Q₂ + Q₁)/2]/(P₂ - P₁)/[(P₂ + P₁)/2]
Price elasticity of demand = (35 - 25)/[(35 + 25)/2]/(15 - 20)/[(15 + 20)/2]
Price elasticity of demand = 0.33/-0.2857
Price elasticity of demand = 1.17.
Part D.Price elasticity of demand = (Q₂ - Q₁)/[(Q₂ + Q₁)/2]/(P₂ - P₁)/[(P₂ + P₁)/2]
Price elasticity of demand = (45 - 35)/[(45 + 35)/2]/(10 - 15)/[(10 + 15)/2]
Price elasticity of demand = 0.25/-0.4
Price elasticity of demand = 0.63.
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