Answer:
5
Step-by-step explanation:
1. Add 7 to both sides of the equation:
2x = 10
2. Divide both sides by 2:
2x/2 = 10/2
x = 5
hope this helps!
Answer:
x=5
Step-by-step explanation:
2x-7+=3
add the 7 to both sides to cancel it out
2x=10
divide by 2
x=5
prove by manipulating one side
(1-cos^2 60)(1+cos^2 300)= 2sin^2 120- sin^4 60
By applying fundamental trigonometry and the values for common angles, we have that (1 - cos² 60°) · (1 + cos² 300°) is equivalent to 2 · sin² 120° + sin⁴ 60°.
How to determine an equivalent trigonometric expression by means of formulasIn this question we have to prove the trigonometric expression by means of fundamental trigonometric relationships and known values for certain angles. We proceed to prove that one side of the expression is equivalent to the other side:
(1 - cos² 60°) · (1 + cos² 300°) Givensin² 60° · (2 - sin² 300°) sin² α + cos² α = 12 · sin² 60° - sin² 60° · sin² 300° Distributive property2 · sin² 120° + sin⁴ 60° Sine is an odd function/ResultBy applying fundamental trigonometry and the values for common angles, we have that (1 - cos² 60°) · (1 + cos² 300°) is equivalent to 2 · sin² 120° + sin⁴ 60°.
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Can anyone help me with my homework
Step-by-step explanation:
for the table on the left (Q5)
y(-1) = -5
y(1) = -1
y(3) = 3
for the table on the left (Q7)
y(0) = 5
y(1) = 2
y(2) = -1
y(3) = -4
Select all of the sets of measurements that can form a triangle.
35°, 15, 130°
90°, 3 inches, 7 inches
70°, 70°, 70°
17 inches, 8 inches, 2 inches
5 inches, 6 inches, 7 inches
The sets of measurements that can form a triangle are:
90°, 3 inches, 7 inches
5 inches, 6 inches, 7 inches.
To determine which sets of measurements can form a triangle, we need to apply the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
Let's analyze each set of measurements:
35°, 15, 130°:
This set cannot form a triangle because the angles are not appropriate. The sum of the angles in a triangle must be 180°, but the given angles add up to 180° - (35° + 130°) = 15°, which is not possible.
90°, 3 inches, 7 inches:
This set can form a triangle. The sum of the two shorter sides (3 inches + 7 inches) is greater than the longest side (10 inches), satisfying the triangle inequality theorem.
70°, 70°, 70°:
This set cannot form a triangle because the angles are not appropriate. The sum of the angles in a triangle must be 180°, but the given angles add up to 210°, which is greater than 180°.
17 inches, 8 inches, 2 inches:
This set cannot form a triangle. The sum of the two shorter sides (2 inches + 8 inches) is less than the longest side (17 inches), violating the triangle inequality theorem.
5 inches, 6 inches, 7 inches:
This set can form a triangle. The sum of the two shorter sides (5 inches + 6 inches) is greater than the longest side (7 inches), satisfying the triangle inequality theorem.
Therefore, the sets of measurements that can form a triangle are:
90°, 3 inches, 7 inches
5 inches, 6 inches, 7 inches.
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What is the volume of the following triangular prism?
252 yd
126 yd
42 yd
Answer:
V = 126 yd3
Step-by-step explanation:
The base: [tex]\frac{(9)(4)}{2} =\frac{36}{2} =18[/tex]
The volume: [tex]v=(18)(7)=126yd^{3}[/tex]
Hope this helps
What is the simplified form of the following expression? assume y not-equals 0. rootindex 3 startroot startfraction 12 x squared over 16 y endfraction endroot
The equivalent expression of the expression [tex]\sqrt[3]{\frac{12x^2}{16y}}[/tex] is [tex](\frac{3x^2}{4y})^\frac 13[/tex]
How to determine the equivalent expression?The expression is given as:
[tex]\sqrt[3]{\frac{12x^2}{16y}}[/tex]
Divide 12 in the expression by 4
[tex]\sqrt[3]{\frac{3x^2}{16y}}[/tex]
Divide 16 in the expression by 4
[tex]\sqrt[3]{\frac{3x^2}{4y}}[/tex]
Apply the power rule of indices
[tex](\frac{3x^2}{4y})^\frac 13[/tex]
Hence, the equivalent expression of [tex]\sqrt[3]{\frac{12x^2}{16y}}[/tex] is [tex](\frac{3x^2}{4y})^\frac 13[/tex]
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What fraction of the sweaters cost $50 or less?
Answer:
8/15 is the fraction I think
The answer is that 50% of the sweaters cost $50 or less.
What is a box plot?To determine the fraction of sweaters that cost $50 or less, we need to look at the box plot and identify the range of prices that fall within that category.
Looking at the box plot, we can see that the box extends from $40 to $60, which means that 50% of the sweaters sold were priced between $40 and $60. Additionally, we can see that the left whisker of the box plot extends down to $30, which means that some sweaters were sold for less than $40.
Therefore, to find the fraction of sweaters that cost $50 or less, we need to calculate the portion of the box plot that falls below $50.
From the box plot, we can see that the distance between $40 and $50 is half of the total distance of the box or 25%. And the distance between $30 and $40 is also 25%. Therefore, the total fraction of sweaters that cost $50 or less is 25% + 25% = 50%.
So, the answer is that 50% of the sweaters cost $50 or less.
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The spinner is equally likely to land on any of the six sections. a spinner contains 6 equal sections: 1, 2, 3, 4, 5, 6. sections 1, 3, and 5 are shaded. the spinner is pointing at number 6. what is the probability that the spinner will land on a number greater than 4 or on a shaded section? two-ninths one-half two-thirds five-sixths
The probability that the spinner will land on a number greater than 4 or on a shaded section is five-sixt
What is probability?Probability is the likelihood or chance that an event will occur. Mathematically;
Probability = Expected/Total
If the spinner is spinned, the total outcome is 1/6
Pr(greater than 4) = 2/6 = 1/3
Pr(shaded section) = 3/6 = 1/2
Pr(number greater than 4 or on a shaded section) = 1/3 + 1/2
Pr(number greater than 4 or on a shaded section) = 5/6
Hence the probability that the spinner will land on a number greater than 4 or on a shaded section is five-sixths
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Answer:
D. 5/6
Step-by-step explanation:
i can feel the course of the correct answer pierce through my veins, trust me... its correct.
The bases of a trapezoid have lengths of 10 feet and 22 feet. Find the length of the midsegment of the trapezoid.
Answer:
16 feet.
Step-by-step explanation:
Midsegment = (10+22)/2
= 32/2
= 16.
2. The metric system is based on units of
O A. 50.
O B. 10.
O C. 5.
OD. 20.
Margo wants to convince her father to change her curfew from 9 P.M. to 10 P.M. She gathers data on curfew times from a random sample of students at her middle school. Can Margo use these data to present a valid inference that will convince her father? Explain.
Answer:
Yes; More students have a curfew of 9 P.M. than any other time.B
Step-by-step explanation:
Use the drop-downs to identify the domain and range of the following relation.
{(–4, –7), (0, 6), (5, –3), (5, 2)}
What is the domain of this relation?
What is the range of this relation?
Answer:
4 0 5 7 3 2 6
Step-by-step explanation:
Just did the assignment
please im so confused and lazy
Answer:x=9
Step-by-step explanation:
6x+25=79
-25 -25
6x=54
/6 /6
x=9
x=9
6x +25 =79
- 25
6x. = 54
÷6
x = 9
Hope this helps!
Find the difference of 29 and 13, and then divide by 2.
Answer:
8
Step-by-step explanation:
29-13=16 16/2=8
Answer:
your answer is 8
Step-by-step explanation:
29 - 13 = 16 / 2 =8
also can you mark me as brainliest
What does PEMDAS stand for?
Answer:
Parentheses Exponents Multiplication Division Addition Subtractions
You have to do these operations in order when solving oder of operations.
Answer:
“PEMDAS” (parenthesis, exponents, multiplication, division, addition, subtraction) to help you remember? Memorable acronyms aren't the only way to memorize concepts.
Step-by-step explanation:
i think it would help.
Two corners were removed from a square to create the polygon shown. 10 30 22 30 Determine the area of the polygon. units²
Answer:
b
Step-by-step explanation:
100! POINTS
You and your partner will each study 2 student scenarios to see how social media spreads Four student scenarios are described in the table below together with your partner to decide on who will study which two students
1. State which two students you are studying so your instructor knows for whom each partner is responsible 2.Provide an exponential function representing Anita's social media shares 3. Provide an exponential function representing Juan's social media shares 4.Using the functions for each student, predict how many shares each student's post will have received on Day 3 and then on Day 10. Justify your answer 5.Based on your resultswhich student's post travels the fastest? How is this shown in the equation form of the functions? 6. If you had to choose, would you prefer a post with fewer friends initially but more shares or more friends initially but fewer shares? Does your partner agree or disagree? Can you think of reasons why more fewer shares are preferable? Justify your answer with your calculations from previous questions
Answer:
General form of an exponential function: [tex]y=ab^x[/tex]
where:
a is the initial valueb is the growth factorx is the independent variabley is the dependent variableAnita's initial value is 41 and the number of viewers doubles each day
[tex]\implies f(x)=41(2)^x[/tex]
Juan's initial value is 4 and the number of views quadruples each day
[tex]\implies f(x)=4(4)^x[/tex]
Day 3
[tex]\textsf{Harrison}:f(3)=7(2)^3=56[/tex]
[tex]\textsf{Anita}:f(3)=41(2)^3=328[/tex]
[tex]\textsf{Juan}:f(3)=4(4)^3=256[/tex]
[tex]\textsf{Krista}:f(3)=6(3)^3=162[/tex]
Day 10
[tex]\textsf{Harrison}:f(10)=7(2)^{10}=7168[/tex]
[tex]\textsf{Anita}:f(10)=41(2)^{10}=41984[/tex]
[tex]\textsf{Juan}:f(10)=4(4)^{10}=4194304[/tex]
[tex]\textsf{Krista}:f(10)=6(3)^{10}=354294[/tex]
Juan's post travels the fastest.
This is shown by the growth factor in the equation form of the functions.
Juan's equation has the largest growth factor of 4.
Stephen bought a package of stickers for $0.50. His brother bought 4 times as many packages. How much did his brother spend? (3 points) a $2.00 b $2.25 c $2.50 d $3.00
a $2.00
Step-by-step explanation:
0.50 x 4 = 2
If he bought 4 times as many, then take the price times 4.
Answer:
$2.00
Step-by-step explanation:
Stephen bought 1 package for $0.50. His brother bought 4 times as many (4 * 1 packages). Which means his brother bought 4 packages.
If each package costs $0.50 then we simply multiply the price with the amount of packages he bought:
4 * $0.50. Lets get rid of the dollar sign, so it doesn't distract us.
I'm not sure if you studied about floating point numbers yet, but I assume you did.
4 * 0.50 =?
We have two numbers after the floating point, but for the sake of simplicity we can get rid of it too and just multiply 4 * 50 and then put the floating point back into the number after the first two digits (because we removed it after two digits 0.50)
Anyway 4 * 50 = 200
We add the floating point and get:
2.00
Therefore his brother spent $2.00 after we add the dollar sign back in
Answer number 7 part A please. Thank you.
Answer:
6,300
Step-by-step explanation:
About 70% of the population will say yes, which is 6,300 out of 9,000
Answer:
6300
Step-by-step explanation:
70
___
100
said yes
there is 9000
change 100 to 9000
that x90
70x 90=6300
3) d = 5 cm.
Calculate the circumference of the circle.
(it isn't 15.7cm)
4) d = 6 m.
Calculate the circumference of the circle.
(it isn't 18.84)
Step-by-step explanation:
Example for my opinion
3) 2r = 5 cm
2 pi r = 5 × 3.14 = 15.7
Megan has been planting young trees in her garden. One maple tree is 66 centimeters tall and is growing 8 centimeters per month. One oak tree is 70 centimeters tall and is growing 7 centimeters per month.
please help me for 15 points
if you don't know please don't try to comment wrong answer
please send with explaination
Answer:
x=0 , x=-3
Step-by-step explanation:
Apply all exponent rules:
[tex]3^{x+3}[/tex] = [tex]3^{x}[/tex]×[tex]3^{3}[/tex]
[tex]\frac{1}{3^{x} }[/tex] = [tex](3^{x} )^{-1}[/tex]
Rewrite equation with [tex]3^{x}= u[/tex]
[tex]u[/tex] × [tex]3^{3}[/tex] + [tex]u^{-1}[/tex] - 28 = 0
Solve for u to give :
u = 1, u = 1/27
Substitute back u = [tex]3^{x}[/tex], solve for x :
[tex]3^{x}[/tex] = 1 , x= 0
[tex]3^{x}= \frac{1}{27}[/tex] , x= -3
x=0 , x=-3
Substituting x back into original equation verifies our answers
A closet contains 5 cases of laundry detergent. Each case contains 12 bottles. Each bottle contains 3 liters of detergent
Jose decided to keep track of his sleep using a fitness tracker. He was surprised to learn that there was 12 minutes of awake time during the eight hours when he was supposed to be asleep at night. What percentage of the eight hours was Jose awake during the night? _____ %
Answer:
2.5% believe.
Step-by-step explanation:
I may be wrong but heres how I solved it.
Take the 8 hours and convert it to minutes.
8 hours - 480 minutes total
12 minutes out of 480 minutes is 2.5%
WILL GIVE BRAINLIEST
For what value of k will the relation R= {(2k+1, 3), (3k-2, -6)} not be a function?
Answer:
3
Step-by-step explanation:
2k+1 = 3k -2
k =3
every child has a 1 mom
f 7 = 3 f7= -6 this is imposible
[tex]\sf \boxed{\bold{k = 3}}[/tex]
Explanation:
If the first values of the two ordered pairs are the same, the relation is not a function.
Solve:
2k + 1 = 3k -2
2k - 3k = -2-1
-k = -3
k = 3
When k = 3, for the relation R= {(2k+1, 3), (3k-2, -6)} will not be a function.
need help now lol!!!
Answer:
4 5/6
Step-by-step explanation:
[tex]3 \frac{1}{3} + 1 \frac{1}{2} [/tex]
to find:the simplest form.
solution:[tex] \frac{10}{3} + \frac{3}{2} [/tex]
[tex] = \frac{(10 \times 2) + (3 \times 3)}{3 \times 2} [/tex]
[tex] = \frac{20 + 9}{6} [/tex]
[tex] = \frac{29}{6} [/tex]
[tex] = 4 \frac{5}{6} [/tex]
Answer question attached. No working needed.
x= - 0.9, y=2.9
Or
x= 2.9, y= -0.9
Hope this helps!
Angle 1 can be represented by the expression 6x + 30. Angle 2 can be
represented by the expression 16x - 10. If the two angles are congruent,
write an equation to find the value of x
Find the surface area. Do not include units in your answer.
Answer:
The surface area of the triangular prism is 223.789 cm^2.
Step-by-step explanation:
Answer:
144
Step-by-step explanation:
cross section area multiply by length.
i.e
(1/2*4*6) *12
Quentin agreed to pay 7% shipping and handling charge. If Quentin paid $9. 45 in shipping and handling, how much must the racquet have cost?
Answer:
The cost of the racquet is $135
Step-by-step explanation:
Let
x-----> the cost of the racquet
we know that
The racquet represent the 100%
so
using proportion
x/100%= $9.45/7%
x=100%*($9.45)/7
x=$135
My math teacher help me with it.
(Please someone help me!) (NO LINKS!)
Answer: A
Step-by-step explanation:
Cost for one day is 12.5 and if the number of days is X, cost for X days will be 12.5X
12.5 was from two days rent divided by 2