Answer:
v = 105°
Step-by-step explanation:
According to Angle Sum Property of a triangle ,
Sum of measure of all the 3 interior angles of the triangle 180°.
Now , lets use this property in this question . So,
\(36 + (v - 27) + (v - 39) = 180\)
\( = > 2v - 66 + 36= 180\)
\( = > 2v - 30 = 180\)
\( = > 2v = 180 + 30 = 210\)
\( = > v = \frac{210}{2} = 105\)
Elvis chooses three different numbers.
• The sum of the three numbers is 24.
• One of the numbers is a square number.
• The other two numbers are factors of 20.
Find the three numbers chosen by Elvis.
Write the numbers in ascending order. 1
Answer:
5,9,10.
Step-by-step explanation:
The factors of 20 that I know of are 2,5,10
The possible square no. is below 10 that is, either 4 or 9
Using the above no's you can substitute to see which three give 24 as the sum, thus 5,9,10
Answer: 16+4+4
Step-by-step explanation: The answer is 16, 4, and 4.
Square values in 24 are 4,9, and 16.
You can take a look at this and see that a factor of 24 is 4.
You can do 16+4+4.
Hope this helps!
-You Brainly Helper!
if In = 5 x" (1+x)0.5 dx ,n= 0,1,2....
where the integral is for x e [0,1].
By first finding a bound on the integrand, which of these is an upper bound on In?
Pick ONE option
O 1/(n+1)
O 1/2(n+1)
O 1/(n+1) + 1/(n+2)
O N^N
The correct option is 1/(n+1).The upper bound for the integral is 1/(n+1).
To determine the upper bound, we can use the fact that the integrand is bounded by its maximum value on the interval. The maximum value of the integrand on the interval [0, 1] is:
f(x) = 5x(1 + x)^(0.5)
At x = 1, f(x) = 5(1 + 1)^(0.5) = 5√2.
Therefore, an upper bound for the integral is:
In ≤ 5√2∫x^n dx
0
Using integration by parts, we obtain:
In ≤ 5√2[x^(n + 1)/(n + 1)]_0^1
= 5√2/ (n + 1)
Therefore, the upper bound for the integral is 1/(n+1).
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pam drives her hybrid 243 mi in city driving on 4.5 gal of gas. at this rate, how many gallons of gas are required to drive 621 mi?
11.5 gallons of gas will be required for 621 miles.
Let us assume the gas required for 621 miles be x. The rate of gas utilization for 243 miles = 243/4.5
The rate of gas utilization for 621 miles = 621/x. The gas consumed will be equal in both the cases, hence, equating the two equations.
243 ÷ 4.5 = 621 ÷ x
x = (621 × 4.5) ÷ 243
Performing multiplication on Right Hand Side of the equation
x = 2794.5 ÷ 243
Performing division on Right Hand Side of the equation
x = 11.5 gallons
Hence, 11.5 gallons of gas is required.
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In the equation 80 divided by 10 equals 8, the number 80 is the…. A: dividend. B: quotient. C: divisor. D: remainder.
Answer:
he dividend number is 80, the number used to divide another number is 10 and the result of the dividing two number is 8.
Step-by-step explanation:
Which of the following is true regarding the solutions to the logarithmic equation below? 2 log Subscript 3 Baseline (x) = 4. Log Subscript 3 Baseline (x squared) = 4. X squared = 3 Superscript 4. X squared = 81. X = 9, negative 9 x = 9 and x = negative 9 are true solutions x = 9 and x = negative 9 are extraneous solutions x = 9 is an extraneous solution and x = negative 9 is a true solution x = 9 is a true solution and x = negative 9 is an extraneous solution.
Using logarithmic function concepts, it is found that the correct statement is:
x = 9 is a true solution and x = -9 is an extraneous solution.
What is a logarithmic function?A logarithmic function is modeled by:
\(a = \log_{b}{x}\)
It means that:
\(b^a = x\)
In this problem, we have that:
\(2\log_{3}{x} = 4\)
Applying the power property:
\(\log_3{x^2} = 4\)
Applying the definition:
\(x^2 = 3^4\)
\(x^2 = 81\)
\(x = \pm 9\)
As the logarithm function is defined only for positive values, the correct statement is:
x = 9 is a true solution and x = -9 is an extraneous solution.
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Answer:
D on edge
Step-by-step explanation:
x=9 is true soltion and x = -9 is an extraneous soltion
In a classroom with 45 students, there were twice as many girls as boys. How many of each were there?
Answer:
90
Step-by-step explanation:
Dialogue (sometimes spelled dialog in American English) is a written or spoken conversational exchange between two or more people, and a literary and theatrical form that depicts such an exchange.
Answer:
Girls are twice as many as the boys.
So let's assume girls to be 'x' and boys to be 'y' and adopt the simultaneous equation method to find out the answer to X and Y.
Firstly, let's us establish that: x + y = 45
Secondly, for every boy there are two girls. So,
2y = x.
We have the value for the 'x' here in the equation, so we will substitute that in the first equation:
2y + y = 45
3y = 45
y = 15
Boys are 15.
Put this answer into any of the equations now, we will the first one:
x + 15 = 45
x = 30
Girls are 30.
Step-by-step explanation:
Hope this helps
Crown me as brainliest:)
The following cone has a slant height of 17
cm and a radius of 8
cm.
What is the volume of the cone?
Responses
480π
320π
544π
The formula for the volume of a cone is:
V = (1/3)πr²h
where r is the radius of the base, h is the height of the cone, and π is pi.
In this case, the slant height is given as 17 cm, which we can use with the radius to find the height of the cone using the Pythagorean theorem:
h² = s² - r²
h² = 17² - 8²
h² = 225
h = 15
Now that we have the height, we can plug in the values for r and h into the formula for the volume:
V = (1/3)π(8²)(15)
V = (1/3)π(64)(15)
V = (1/3)(960π)
V = 320π
Therefore, the volume of the cone is 320π cubic cm. Answer: 320π.
I need help on this asap!
In the above problem, the system of linear inequalities to represent Jackson's workout is: 6.9x + 10.4x ≥ 400; x ≤ 45.
What is the rationale for the above response?Let x be the number of minutes Jackson uses the stair stepper.
The calories burned during x minutes of light effort on the stair stepper are 6.9x.
The calories burned during x minutes of vigorous effort on the stair stepper are 10.4x.
To burn at least 400 calories, we can write the inequality:
6.9x + 10.4x ≥ 400
To ensure that Jackson has at most 45 minutes to exercise, we can write the inequality:
x ≤ 45
Therefore, the system of linear inequalities to represent Jackson's workout is:
6.9x + 10.4x ≥ 400
x ≤ 45
where x is the number of minutes Jackson uses the stair stepper.
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Lydia bought a shirt at 20% off its retail price of $40. She paid 5% tax on the price after the discount. How much did Lydia pay for the shirt?
make sure to look at the photo :) i hope you have a good day
Answer:
$33.60
Step-by-step explanation:
Original price of shirt: $40
Percent discount: 20%
Amount of discount: 20% of $40 = 0.2 × $40 = $8
Price after discount: $40 - $8 = $32
Percent of tax: 5%
Amount of tax: 5% of $32 = 0.05 × $32 = $1.60
Total paid after discount and tax: $32 + $1.60 = $33.60
Answer: Lydia paid the amount of 33.60 dollar
Step-by-step explanation:
Retail price of shirt = 40 dollar
Discount = 20%
Discount value:
=20% of 40 dollar [ 20/100 * 40 ⇒ 1/5 * 40 ⇒ 40/5 = 8 ]
= 8 dollar [ discount value]
Price of shirt after discount :
= 40 - 8
= 32 dollar
As she paid 5% discount on the discounted price ( 32 dollar )
So, 5% of 32 = 1.6 dollar [ 5/ 100 * 32 ⇒ 1/20 * 32 ⇒ 32/20 = 1.6]
Amount to pay = 32( price after discount) + 1.6 ( Tax)
= 33.60 dollar
what is the y-intercept of this line: y=5-7x
Answer:
5
Explanation: y-intercepts are just numbers that don't have any variables and they can be found on the y axis.
Answer:
5
Step-by-step explanation:
Rewrite the equation as y=-7x+5.
y=mx+b is slope-intercept form with mx representing slope and b representing the y-intercept.
5.2x-y=4.1 1.5x+y=6.7
how to solve this problem
Answer: x=1.6
y=4.2
Step-by-step explanation:
5.2x - y = 4.1
1.5x + y = 6.7
we will add both equations and you see that the y is getting cancelled
6.7x=10.8
x=10.8/6.7= 1.6
now in any equation we will replace x with 1.6
5.2(1.6)-y=4.1
8.3-y=4.1
-y= 4.1-8.3
-y=-4.2 multiply by -1
y=4.2
Answer:
x = 1.61 (Estimated)
y = 4.28 (Estimated)
Step-by-step explanation:
5.2x - y = 4.1
1.5x + y = 6.7
5.2x − y = 4.1
−y = −5.2x + 4.1
y = 5.2x − 4.1
Solve for x:
1.5x + y = 6.7
1.5x + 5.2x − 4.1 = 6.7
6.7x − 4.1 = 6.7
6.7x = 10.8
x = 1.61194
Solve for y:
y = 5.2x − 4.1
y = 5.2 × 1.61194 − 4.1
y = 4.28209
4(46 + 3) + 2b = 3 (6 - 11)
Answer:
\(4(46 + 3) + 2b = 3(6 - 11) \\ 184 + 12 + 2b = 18 - 33 \\ 196 + 2b = - 15 \\ 2b = - 15 - 196 \\ \frac{2b}{2} = \frac{ - 211}{2} \\ b = - 105.5\)
PLEASE JUST THE ANSWER!
Answer:
80°
Step-by-step explanation:
80°+100°+100°=280°
360°-280°= 80°
what pathways would be necessary to carry you to the leaves of these trees.
In order to reach the leaves of the trees, one would need to travel along the trunk and branches of the tree, and then climb up the leaves.
In order to reach the leaves of a tree, one would have to take a pathway that begins at the base of the tree. This pathway would involve climbing up the trunk of the tree, and then making their way through the branches until they reach the leaves. Depending on the size of the tree, this may require some climbing skills, or the use of special equipment. The branches of the tree provide the necessary pathways to the leaves, and the leaves themselves can be used as footholds to help with the climb. Once the leaves are reached, it is possible to survey the environment and take in the beauty of the tree. With a little bit of courage and determination, reaching the leaves of a tree is a rewarding experience.
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These are the questions from my recent one I jus posted.
Answer the ones you know, leave the ones you dont:) apreciate your help!
5. Solve the following proportion.
X /12= 48/144
A. x=3
B.x=4
C.x=8
D.x=9
6) Solve the proportion using
cross multiplication.
15/5=x/6
A X=2
B X= 12.5
C x=18
D X= 450
7) Solve the proportion using
cross multiplication.
26/ x = 17/51
A. x=189
B. x=78
C. x=33
D. x=9
8) Solve the proportion using
cross multiplication.
x/14=9/3
A. x=13
B.x=14
C. x=23
D. x=39
9) in a recipe for waffles, you need 1 1/2 cups of flour. the recipe serves 5 people. you need to make waffles for 20 people, how much flour do you need??
A. 4 cups
B. 6 cups
C. 7.5 cups
D. 20 cups
10) for art class, you are making a model of a house. A real house has a length of 52 feet and Werth of 28 feet. your model has a length of 13 inches. what will the width be?
A. 6 in
B. 7 in
C. 9.5 in
D. 16 in
Answer:
5. B x=4
6. C x=18
7. B x=78
8.
9. 6 cups
10. B 7 in
Step-by-step explanation:
5. X /12= 48/144
You can simplify the fraction 48/144 by diving both numerator and denominator by 12.
(48/12)/(144/12)=4/12
So, x/12=48/144 is same as
x/12=4/12
So, x=4
6)
15/5=x/6
Cross multiply
5x=15*6
5x=90
x=90/5
x=18
7) 26/ x = 17/51
17x=26*51=1,326
x=1326/17
x=78
8)
x/14=9/3
Cross multiply
3x=14*9=126
x=126/3=42
9)
1 1/2 cups is 3/2 cups
5/(3/2)=20/x
Cross multiply
5x=20*(3/2)=10*3=30
x=30/5=6 cups
10)
52/28=13/x
x=(28*13)/52=7 inches
Hello! Having a little trouble on this question, thanks for your help!
The graph of the function:
\(g(x)=ln(4-x)\)Can be obtained by using the parent function:
\(f(x)=ln(x)\)Whose graph is shown below:
We must first turn x into -x by making a reflection over the y-axis. This way, the function becomes:
\(f(-x)=ln(-x)\)And the graph is:
Finally, we just add 4 to x to translate the graph 4 units to the right to get our desired function:
\(g(x)=f(4-x)=ln(4-x)\)The graph is shifted 4 units to the right as shown:
Please help with 11!!!
Answer:
Equation 1: (500×5)+75
Equation 2: (20×5)×7
Total Revenue: $1,875
Step-by-step explanation:
For equation 1 we multiply the companys $500 an hour flat rate by the number of hours the party was (5), then add the company's $75 set up fee for a total of $2,575.
For equation 2 we multiply the company's hourly pay (20) by the number of hours worked (5), after that we multiply the number of employees (7) for a total of $700.
Finally to figure out the actual revenue from the event we subtract the amount the company paid the employees ($700) from the total paycheck for hosting the party ($2,575) for a final total of $1,875.
If corresponding angles are on parallel, then their measure is the same ____. always, sometimes, or never
Answer:
Step-by-step explanation:
Sometimes hope that helps you and hope you pass : >
Answer:
Always
Step-by-step explanation:
- Parallel lines can be defined as two lines in the same plane that are at equal distance from each other and never meet.
- Parallel lines are congruent and so their measure will ALWAYS be the same
What are the solutions of the equation (x + 2)^2+ 12(x + 2)-14=0? Use u substitution and the quadratic formula to solve
Answer:
Step-by-step explanation:
Obviously, we are letting u = x + 2. So what we have when we rewrite using this substitution is
\(u^2+12u-14=0\) and we plug that into the quadratic formula with
a = 1, b = 12, c = -14:
\(u=\frac{-12+-\sqrt{12^2-4(1)(-14)} }{2(1)}\) which can be simplified to
\(u=\frac{-12+-\sqrt{144+56} }{2}\) and a bit more to
\(u=\frac{-12+-\sqrt{200} }{2}\) and a tiny bit more to
\(u=\frac{-12+-10\sqrt{2} }{2}\) and finally to
\(u=-6+-5\sqrt{2}\) and plug back in for u:
x + 2 = -6 ± 5√2 and then subtract the 2 to get
x = -8 ± 5√2
What’s the answer? Plz help me get it
I don’t know how to solve this I need help
Answer:
1/3
Explanation:
In a function with the form f(x) = mx + b
The y-intercept is b, the constant value.
If the function is f(x) = -2/9x + 1/3
the constant value is 1/3, so the y-intercept is 1/3
Can someone tell me what that n symbol next to pi is. What is it called? Picture attached.
Answer:
In the mathematical expression 2πn, "n" typically represents an integer variable, which can take on any whole number value (positive, negative, or zero). In this case, it's positive.
When used in this context, 2πn represents a sequence of values that are evenly spaced at intervals of 2π, and infinitely repeats every 2π. For example, if n takes on the values of 0, 1, 2, 3, 4, 5, ..., then the corresponding values of 2πn would be 0, 2π, 4π, 6π, 8π, 10π, ..., respectively.
Answer:
Step-by-step explanation:
It's like saying there are infinite solutions
(n) is number of times going around
Ex.
pi/6 is a solution also,
pi/6 +2pi still brings you back to same position, but also
pi/6 +2pi + 2 pi or pi/6 + 2pi (2) going around twice
pi/6 + 2pi (3) going around 3 times.
It's saying you have pi/6 as a solution + everytime you go around the circle 2pi , n times.
It's a math problem about graphing. thank you
The interval for which the ball's height is increasing on the graph, would be 0 seconds to 1.5 seconds.
What is the interval the ball's height increases ?The interval for which the ball's height is increasing is when the slope of the graph is positive, or when the height is increasing with respect to time.
Looking at the graph, we can see that the ball starts at a height of 0 meters and reaches a peak of 11.025 meters at 1.5 seconds. After 1.5 seconds, the ball begins to fall back to the ground.
Therefore, the interval for which the ball's height is increasing is from 0 seconds to 1.5 seconds. During this interval, the height of the ball is increasing as it travels upwards, reaching its peak at 1.5 seconds. After 1.5 seconds, the height of the ball starts decreasing as it falls back down to the ground.
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NEED HELP PLS!!!
In circle B with \text{m} \angle ADC= 81m∠ADC=81, find the \text{m} \angle ABCm∠ABC.
The probability of winning a lottery by selecting the correct six integers from the positive integers not exceeding 50 is _____ × 10–8
The probability of winning a lottery by selecting the correct six integers from the positive integers not exceeding 50 is 6 × 10–8.
What is the probability?Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty.
The sample-set S consists of all combinations of 6 distinct elements of the set of 50 elements, and;
\(\rm |S| =C(50, 6)=\dfrac{50!}{44!6!}\)
The winning event E ⊆ S is just one winning combination, so that
|E| = 1.
Therefore, the probability of winning a lottery is;
\(\rm P(E)=\dfrac{|E|}{|S|}\\\\ P(E)=\dfrac{1}{\dfrac{50!}{44!6!}}\\\\\\ P(E)=\dfrac{44!6!}{50!}\\\\ P(E)= 6 \times 10 {-8}\)
Hence, The probability of winning a lottery by selecting the correct six integers from the positive integers not exceeding 50 is 6 × 10–8.
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A tree casts a shadow of 15 meters, while a 2-meter post nearby casts a shadow of 3 meters. How tall is the tree
The tree is 10 meters tall.
To find the height of the tree, we can use the concept of similar triangles. The ratio of the height of the tree to the length of its shadow should be equal to the ratio of the height of the post to the length of its shadow, since they are both located in the same plane and are being illuminated by the same light source.
Let's use proportions to solve this problem. We can set up the proportion:
height of tree / length of tree's shadow = height of post / length of post's shadow
Let h be the height of the tree. Then we have:
h / 15 = 2 / 3
Cross-multiplying, we get:
3h = 30
h = 10
Therefore, the tree is 10 meters tall.
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solve -6x + 18 > -30
A. x > 2
B. x < 2
C. x > 8
D. x < 8
Answer:
D. x < 8
Step-by-step explanation:
Let's solve your inequality step-by-step.
−6x+18>−30
Step 1: Subtract 18 from both sides.
−6x+18−18>−30−18
−6x>−48
Step 2: Divide both sides by -6.
−6x
−6
>
−48
−6
BRAINLIEST PERSON WHO GETS IT
Nyoko wrote these two questions.
Equation 1: 6x-5+2x = 4(2x-1) - 1
Equation 2: 3x +7 = bx+7
Part A
Nyoko says that Equation 1 has one solution. Do you agree with her? Explain your reasonings.
Part B
Can Nyoko find a value for b in Equation 2 so that the equation has no solutions? Explain Your REASONING!
a) The equation 1 has an infinite number of solutions, as both linear functions have the same slope and internet, hence Nyoko is incorrect.
b) Nyoko cannot find a value of b so that the equation has no solutions.
How to solve the equations?The equation 1 is given as follows:
6x - 5 + 2x = 4(2x - 1) - 1.
Combining the like terms and applying the distributive property, the simplified equations are given as follows:
8x - 5 = 8x - 4 - 1
8x - 5 = 8x - 5.
As they are linear functions with the same slope and intercept, the number of soltuions is of infinity.
The equation 2 is given as follows:
3x + 7 = bx + 7.
A system of linear equations will have zero solutions when:
The equations have the same slope.The equations have different intercepts.As they have the same intercept for this problem, it is not possible to attribute a value of b such that the equation will have no solution.
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Solve the literal equation for x: g= 4x+5xy
The literal equation for x is \(\frac{g}{4+5y}\) given that \(g= 4x+5xy\)
The subject of a formula is a way of representing a variable in terms of other variables.
Given the equation
\(g= 4x+5xy\)
Factor out the common variable x
\(g= x(4+5y)\)
Divide both sides by 4+5y
\(\frac{g}{4+5y} =\frac{x(4+5y)}{4+5y} \\\frac{g}{4+5y} = x\\Swap\\x = \frac{g}{4+5y}\)
This shows that the literal equation for x is \(\frac{g}{4+5y}\)
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Three coins are tossed and two dice are thrown at the same time. Find the probability of obtaining three heads and a total of 12 on the dice
Answer:
2/6 chance the dice be rolled to the total of 12