Given:
1) A hairdresser uses 800ml of shampoo and 320 ml of conditioner on a daily basis.
The ratio from a to b is writtenn as,
\(a\colon b\text{ that is }\frac{a}{b}\)So, the ration of shampoo to the conditioner is,
\(\frac{800}{320}=\frac{5}{2}\)Answer: 5:2.
2) sugar and flour are mixed in the ratio 2:3
\(\text{sugar:flour}=2\colon3\)Let x be the amount of sugar is used with 600 g of flour.
\(\begin{gathered} \frac{2}{3}=\frac{x}{600} \\ 2\times600=3x \\ 1200=3x \\ x=\frac{1200}{3} \\ x=400\text{ g} \end{gathered}\)Answer: 400 g of suger is used.
If the rays of the sun hit the ground at a 50° angle, what will be the length of the shadow of a 75 ft tree?
Step-by-step explanation:
Let x be the height of the tree. The length of shadow of tree is l=20 feet and elevation of sun is θ=400.
Then, tanθ=xlortan40=x20orx=20tan40=16.78(2dp)feet
HOPE ITS HELP
AND MARK ME AS BRAINLIST :)
Answer:
62.9 ft (nearest tenth)
Step-by-step explanation:
Use the tan trig ratio to calculate the length of the shadow.
Tan trigonometric ratio
\(\sf \tan(\theta)=\dfrac{O}{A}\)
where:
\(\theta\) is the angleO is the side opposite the angleA is the side adjacent the angleLet x = length of shadow
Given:
\(\theta\) = 50°O = 75A = xSubstitute the given values into the formula and solve for x:
\(\implies \sf \tan(50^{\circ})=\dfrac{75}{x}\)
\(\implies \sf x=\dfrac{75}{\tan(50^{\circ})}\)
\(\implies \sf x=62.93247234...\)
Therefore, the length of the shadow is 62.9 ft (nearest tenth)
Ana uses 58 beads to make a necklace. She plans to sell 36 necklaces at each craft fair she goes to this summer. She plans to go to 4 craft fairs this summer. What is the total number of beads that Ana will use to make the necklaces she plans to sell at the 4 craft fairs?
Answer:
8064Step-by-step explanation:
56 beads for each necklace,36 necklaces at each craft,4 craft fairsTotal number of beads:
56*36*4 = 8064How did I get this wrong
The numbers greater than 2 and less than five are three and four so you have marked the correct points on the line graph.
what is a graph?A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
It is given that we need to mark a point on the line graph according to the given condition which is numbers greater than 2 and less than five.
So the numbers which are greater than two and less than five are three and four.
Hence the numbers greater than 2 and less than five are three and four so you have marked the correct points on the line graph.
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pless i really need help
Perimeter of the parallelogram = 210 in.
Area of parallelogram = 2,484 in.²
What are the Perimeter and Area of a Parallelogram?Perimeter of parallelogram = 2(a + b), where a and b are its sides.
Area of parallelogram = (b)(h), where h is its height and b is the length of one of its bases.
Given:
a = 51 in.
b = 54 in.
h = 46 in.
Perimeter of the parallelogram = 2(54 + 51) = 210 in.
Area of parallelogram = (b)(h) = (54)(46) = 2,484 in.²
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increase R700 in the ratio 3:2
Answer:
3 over5 multiplied by 320 equals 192
Help PLS ASAP!!!!!!!!!!!!
Answer:
The answer is
" THe middle triangle is scalene"
and "the right and left triangle are isosceles"
Step-by-step explanation:
This is because B, and D are wrong.
B is wrong because all three sides are different lengths
D is wrong because the right and left triangles are not equalateral
give brainliest please!
hope this helps :)
Compare the best estimate for 1.789/178 and 0.05. Which is less?
Answer:
The smaller number in 0.01
Step-by-step explanation:
To find this answer, just take the fraction and find the quotient of both numbers.
1.789/178 = 0.01005056179
Now take the quotient and compare it to 0.05.
Is 0.01 larger or 0.05 - the answer is 0.01.
Which values of x are solutions to this equation? -1/2x^2 + 5x = 8
A) -2
B) 2
C) -8
D) -1.5
E) 11.5
F) 8
Answer:
2, 8
Step-by-step explanation:
-1/2x^2 + 5x = 8
-x^2 + 10x = 16 (Multiplying both sides of the equation by 2)
-x^2 + 10x - 16 = 0
x^2 - 10x + 16 = 0 (changing the signs)
x^2 -2x -8x +16 = 0
x (x-2) -8 (x-2) = 0
(x-2) (x-8)
x-2 = 0
x = 2
or
x -8 = 0
x = 8
Answer from Gauthmath
The values of x are solutions to this equation that is 2, 8
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
We are given that the equation as;
-1/2x² + 5x = 8
-x² + 10x = 16
Now Multiplying both sides of the equation by 2;
-x² + 10x - 16 = 0
Or
x² - 10x + 16 = 0
x² -2x -8x +16 = 0
x (x-2) -8 (x-2) = 0
(x-2) (x-8)
The solution are;
x-2 = 0
x = 2
or
x -8 = 0
x = 8
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A candle maker plans to make 303030 orange candles. She mixes wax to create a specific shade of orange. The ratio of each color in her mixture is shown below:
222 parts red wax
555 parts yellow wax
333 parts white wax
PART A
The candle maker needs 111 quart of orange wax for every 666 candles.
How much yellow wax will the candle maker need to make all 303030 candles?
Choose 1 answer:
Answer:
I would say
Step-by-step explanation:
303030 divided by 666 =455
666x455=303030
455-666=2110
so it would be 2110
1. What is the measure
of ZABC?
A
98⁰
B
tc
2.
Answer:
∠ ABC = 49°
Step-by-step explanation:
the chord- tangent angle ABC is half the measure of the intercepted arc AB
∠ ABC = \(\frac{1}{2}\) AB = \(\frac{1}{2}\) × 98° = 49°
The last part of question says find temperature at 11pm
Answer:
3 deg C
Step-by-step explanation:
Start with -8 deg and add 11 deg.
-8 + 11 = 3
Answer: 3 deg C
Arrange the following temperatures in ascending order and descending order.
a) 37°C, -15°C, 16°C, -12°C, 0°C, 96°C, -73°C
b) 20°C, -1°C -15°C 0°C, -7°C, 23°C, -36°C.
Answer:
a) -73°C, -15°C, -12°C, 0°C, 16°C, 37°C, 96°C
a) 96°C, 37°C, 16°C, 0°C, -12°C, -15°C, -73°C
b) -36°C, -15°C, -7°C, -1°C, 0°C, 20°C, 23°C
b) 23°C, 20°C, 0°C, -1°C, -7°C, -15°C, -36°C
Please help me with this question, I need it to pass the class!!
Answer:
cos(20°)
Step-by-step explanation:
The "cofunction" is the function having the same value for the complement of the angle that this function has for the angle.
The cofunction of sine is cosine. The complement of 70° is 90° -70° = 20°.
sin(70°) = cos(20°)
100 Points! Algebra question. Photo attached. Find the missing variable. Round your answers to the nearest hundredth. Please show as much work as possible. Thank you!
Using the z-score, mean and sample mean, the standard deviation of the sample is 7.57
What is z-score?A z-score describes the position of a raw score in terms of its distance from the mean when measured in standard deviation units. The z-score is positive if the value lies above the mean and negative if it lies below the mean.
The formula is given as;
z = x - μ / σ
z = z -scoreμ = mean x = sample meanσ = standard deviationSubstituting the values into the formula;
-2.13 = 19.3 - 29 / σ
Cross multiply both sides;
-2.13σ = 19.3 - 29
-2.13σ = -9.7
Divide both sides by the coefficient;
-2.13σ / -2.13 = -9.7 / -2.13
σ = 7.57
The standard deviation is 7.57
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Someone please answer this correctly!!
Answer:
1.98 × 10^10
Step-by-step explanation:
First solve for how many text messages were sent out per one month:
22,000,000 × 900
19,800,000,000
Convert into scientific notation:
1.98 × 10^10
In scientific notation, there can only be one number before the decimal. The rest of the numbers must be after the decimal; hence, why I put the numbers 9 and 8 after the decimal. If the rest of the numbers are zeros, you do not have to add them after the decimal. Instead, starting from right to left, count the number places until you reach your decimal. The number you have counted will be your exponent. I counted nine 0's, one 8, and one 9 which made this exponent 10 as there were 10 decimal placements.
consider a collection of enveloped consisting of 2 red, 1 blue, 2 green envelopes, and 2 yellow envelopes. If two envelopes are selected at random, with replacement, determine the probability that at least one envelope is a yellow envelope.
Can I get a detailed answer so that I can use it to study?
Answer:
The probability of picking a yellow envelope is 2/7
Step-by-step explanation:
red envelope =2
blue " " =1
green " "=2
yellow " " =2
Total envelope =2+1+2+2=7
Probability thay at least one envelope will be yellow
P=number of yellow envelope/Total envelope
P=2/7
NEED THE ANSWERS FAST PLEASE
In Exercises 13 and 14, find a possible pair of integer values for a and c so that
the quadratic equation has the given number and type of solution(s). Then write
the equation.
13. ax² − 3x + c = 0; two real solutions
-
14. ax² + 10x + c = 0; two imaginary solutions
15. Determine the number and type of solutions to the equation 2x² - 8x = -15.
A. two real solutions
B. one real solution
C. two imaginary solutions
D. one imaginary solution
In Exercises 16 and 17, use the Quadratic Formula to write a quadratic equation
that has the given solutions.
16. x
10 ± √√-68
14
17. x =
-3±i√√7
8
In Exercises 18-21, solve the quadratic equation using the Quadratic Formula.
Then solve the equation using another method. Which method do you prefer?
Explain.
18. 7x² + 7 = 14x
20. x² + 2 = -x
19. x² + 20x = 8
21. 8x² - 48x + 64 = 0
22. The quadratic equation x² + x + c = 0 has two imaginary solutions. Show that
the constant c must be greater than 1.
Answer:
Step-by-step explanation:
the degree of a polynomial determines 1:1 the number of solutions.
a quadratic equation (degree 2) has 2 solutions.
the general solution is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
a = -4
b = -4
c = -1
so,
x = (4 ± sqrt((-4)² - 4×-4×-1))/(2×-4)
when we look at the square root
16 - 16
we see that it is 0.
the square root of 0 is 0, and there is no difference between -0 and +0.
so, we get only one (real) solution : 4/-8 = -1/2
but : formally, there are still 2 solutions (as this is a quadratic equation). they are just identical.
so, I am not sure what your teacher wants to see in this case as answer.
my answer would be 2 real identical solutions. did this help?
Find the area of this isosceles trapezoid. A) 85.5 units2 B) 171 units2 C) 342 units? 345 units?
9514 1404 393
Answer:
B) 171 units^2
Step-by-step explanation:
The area is given by the formula ...
A = 1/2(b1 +b2)h
Filling in the given base and height values, we find the area to be ...
A = 1/2(23 +15)(9) = (19)(9) = 171 . . . square units
_____
Additional comment
You can select the correct answer choice simply on the basis of "reasonableness." If this were a 9×15 rectangle, its area would be 9×15 = 135 square units, more than 85.5. You know its area is less than a 9×23 rectangle, so is less than 9×23 = 207 square units. Only one answer choice is a value between 135 and 207.
__
Multiplication by 9 is not so hard. It is multiplication by 10-1:
15×9 = 15×(10 -1) = 150 -15 = 135
What is 3+3!!??!!??!!??!!??!!??!!??
Answer:
6
Step-by-step explanation:
cause 3+3 is 6
thanks for the easy points :3
Answer:
id.kkkkk.. maybe 5.. maybe 6...
:O
A spherically shaped hot air balloon has a
diameter of about 27 meters when fully inflated.
What is the volume of the hot air balloon when it
is fully inflated?
Answer: 7725.5775
Step-by-step explanation:
d=27
r=d/2=27/2=13.5
the volume of the spherical balloon= 3.14*r^3
= 3.14*(13.5)^3
= 7725.5775
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√(2x-5)=1+√(x-3)
btw the solution is not x=7, 3 i tried that already. Also pls show steps i will give u 5 stars and a heart.
Answer:
x = 3 only
Step-by-step explanation:
\(\sqrt{2x-5} =1+\sqrt{x-3}\)
\(\implies 2x-5=(1+\sqrt{x-3})^2\\\\ \implies 2x-5=x+2\sqrt{x-3} -2\)
\(\implies x-3=2\sqrt{x-3}\)
\(\implies (x-3)^2=(2\sqrt{x-3})^2\)
\(\implies x^2-6x+9=4x-12\)
\(\implies x^2-10x+21=0\)
\(\implies (x-3)(x-7)=0\)
\(\implies x=3, x=7\)
Check by substituting found values of x into original equation:
\(x=3 \implies \sqrt{2(3)-5} =1+\sqrt{3-3} \implies 1 = 1 \ \ \ \checkmark\)
\(x=7 \implies \sqrt{2(7)-5} =1+\sqrt{7-3} \implies 3\neq 2 \ \ \ \ incorrect\)
What is the value of m squared minus 2 m n + n squared for m = negative 2 and n = 4?
-4-2×-2×64
-4+4×64
-4+256
=252
Answer: (36)
hope this helps you have a wonderful day
Step-by-step explanation:
A sector with central angle theta is cut froma circle of radius 10 inches and the edges of the secotr are brought toegether to ormnr a cone find the amgnitude of theta such that thte volume of the conbe is a maximum
So, the maximum volume of the cone is approximately 1047.19 cubic inches.
The volume of a cone is given by the formula V = (1/3) * pi * r^2 * h, where r is the radius of the base and h is the height of the cone. In this case, the height of the cone is the radius of the circle, which is 10 inches, and the radius of the base is half the length of the circumference of the sector, which is (theta/360) * 2 * pi * 10 inches.
We want to find the value of theta that maximizes the volume of the cone. We can do this by taking the derivative of the volume formula with respect to theta, setting it equal to 0, and solving for theta.
V = (1/3) * pi * r^2 * h
= (1/3) * pi * ((theta/360) * 2 * pi * 10)^2 * 10
= (1/3) * pi * (theta/36)^2 * 100
dV/dtheta = (2/3) * pi * (theta/36) * (100/36)
= (2/3) * pi * theta/36
Setting dV/dtheta = 0 and solving for theta, we get theta = 0.
Since the magnitude of theta must be positive, the maximum volume occurs when theta = 0, which means that the entire circle is used to form the cone. The maximum volume of the cone is then
V = (1/3) * pi * r^2 * h
= (1/3) * pi * (10)^2 * 10
= (1/3) * pi * 100 * 10
= (1/3) * pi * 1000
= approximately 1047.19 cubic inches
So, the maximum volume of the cone is approximately 1047.19 cubic inches.
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We want to find the value of theta that maximizes the volume of the cone. We can do this by taking the derivative of the volume formula with respect to theta, setting it equal to 0, and solving for theta.
V = (1/3) * pi * r^2 * h
= (1/3) * pi * ((theta/360) * 2 * pi * 10)^2 * 10
= (1/3) * pi * (theta/36)^2 * 100
dV/dtheta = (2/3) * pi * (theta/36) * (100/36)
= (2/3) * pi * theta/36
Setting dV/dtheta = 0 and solving for theta, we get theta = 0.
Since the magnitude of theta must be positive, the maximum volume occurs when theta = 0, which means that the entire circle is used to form the cone. The maximum volume of the cone is then
V = (1/3) * pi * r^2 * h
= (1/3) * pi * (10)^2 * 10
= (1/3) * pi * 100 * 10
= (1/3) * pi * 1000
= approximately 1047.19 cubic inches
So, the maximum volume of the cone is approximately 1047.19 cubic inches.
PLEASE HELP ME ANSWER THESE QUESTIONS
Step-by-step explanation:
get a coin and toss it 40 times.....then input your answers....
dont forget to make a prediction about the outcome first
PLS EXPLAIN HOW U GOT THE ANSWER
Sara needs to cover the top and sides of the cylinder below
diameter 6 in.
height 8 in.
About how many square inches of paper will Sara need?
O 528 in.
O 415 in.
O 207 in.
O 179 in.
415 in
take 8 times 6 four times and add them together
If the equation of the regression line that relates hours per week spent in the lab, x, to GPA, y, is y = 2.1 + 0.28x, then the best prediction for the GPA of students who never go to the lab 2.1.TrueFalse
The statement is False.
If the equation of the regression line that relates hours per week spent in the lab, x, to GPA, y, is
y = 2.1 + 0.28x
If a student never goes to the lab (x=0), then the best prediction for their GPA would be y = 2.1 + 0.28*0 = 2.1.
A collection of statistical techniques known as regression analysis is used to estimate the associations between a dependent variable and one or more independent variables. It may be used to simulate the long-term link between variables and gauge how strongly the relationships between them are related.
The relationship between dispersed data points in any collection is shown by a regression line. When there is a linear pattern, it displays the relationship between the dependent y variable and independent x variables.
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please helppppppppppppppppppppppp
Answer:
last option
Step-by-step explanation:
let g = 3,
9/5 + 7/2(3)
9/5 + 21/2
adjust to a common denominator of ten to get;
18/10 + 105/10
= 123/10 = 12 3/10
so the last option !
Question 10: The graph below shows a company's profits f(x), in dollars, depending on the price of 8.01 & 8.04
pens x, in dollars, sold by the company.
Part A (2pts): Highlight your answer below
150
90
00
30
f(x)
What does the maximum value represent?
A The point where no profit is made
B.
C.
D.
The point where the most profit is made
The point where the most pens are made
The point where no pens are made.
Part B (2 pts) Highlight/circle your answer What do the x-intercepts represent?
A.
The price per pen where the most profit is made
B.
The price per pen where no profit is made.
C.
D.
The point where the most pens are made.
The point where no pens are made.
Part C (3 pts): What is an approximate average rate of change of the graph from
x=3 to x = 6? Show your work.
Part D (3 pts) Drag & Drop into the blanks to describe the constraints of the
domain.
The domain of this graph given the situation is
because
beyond those points.
+
Z
The x-intercepts represent a zero profit, the maximum value of the graph represents the maximum profit, An approximate average rate of change of the graph from x=3 to x=5 represents the reduction in profit from 3 to 5 and the domain is constrained by x=0.
Part A:
The x-intercepts represent a zero profit.
The maximum value of the graph represents the maximum profit.
The function increases up till the vertex and decreases after it.
This means that the profit increases as it reaches the peak at the vertex.
It decreases after the vertex up till it reaches zero.
On the left of the first zero and on the right of the second zero, the profits are negative.
Part B:
An approximate average rate of change of the graph from x=3 to x=5 represents the reduction in profit from 3 to 5.
Part C:
Simply, the domain is constrained by x=0.
We are obliged at x=6 .
This is because we have to avoid a negative profit.
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Is it necessary to have a common denominator when you multiply two fractions? Explain.
Help pls
i will give brainlyiest. pls asap
It is not necessary to have a common denominator when you multiply two fractions
How to determine the true statement?The statement is about the relationship between the denominator of fractions when they are multiplied
Take for instance, we have the following fractions
a/b and x/y
In the above fractions, we have
Numerator = a and x
Denominator = b and y
Where b and y do not have the same value
When they are multiplied, we have
Product = ax/by
The denominators do not have the same value
And we were able to calculate the product
This means that the fraction denominator do not have to be common
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Find the area of the triangle.
3 9
A
5
B
?] units²
The area of the triangle is 47.91 units²
How to find the area of the triangle?When all three sides of the triangle are known we can use Heron's formula. Consider the triangle ABC with sides a, b, and c has shown in the image.
Heron’s formula is:
Area =√s(s−a)(s−b)(s−c)
where,
a, b, c are the side length of the triangle
s is the semi-perimeter. s = (a+b+c)/2
In this case:
Using the knowledge of the radius of a circle. We can say:
a = BC = 3 + 9 = 12 units
b = AC = 5 + 3 = 8 units
c = AB = 5 + 9 = 14 units
s = (a+b+c)/2
s = (12+8+14)/2
s = 34/2
s = 17 units
Area = √s(s−a)(s−b)(s−c)
Area = √17(17−12)(17−8)(17−14)
Area = √17(5)(9)(3)
Area = √2295
Area = 47.91 units²
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