Answer:
She needs 4 more gallons of blue paint than red paint
Step-by-step explanation:
Since the ratio is 3 to 2, 3 + 2 = 5.
The artist needs 20 gallons of purple paint, so 20/5 = 4
The amount of blue and red paint needed is 4x3 to 4x2, or 12 to 8.
She needs 12 gallons of blue paint and 8 gallons of red paint.
12 - 8 = 4
She needs 4 more gallons of blue paint than red paint.
Answer:
ok!
Step-by-step explanation:
blue = 8 gallons
red = 12 gallons
Evaluate the log without a calculator ( Show your work )
[tex]log_{3} \frac{1}{9}[/tex]
Answer:
-2
Step-by-step explanation:
log3 (1/9)
Replace 1/9 with a power of 3
1/9 = 3^-2
log3 (3^-2)
Using the power of power rule loga (b^c) = c log a(b)
-2 log3(3)
We know that loga(a) =1
-2 (1)
-2
The tuition at a college increased from 50,000 in 2006 to to 59,000 in 2007. What is the percent increase in tuition
Answer:
18%
Step-by-step explanation:
18% is the percent increase in tuition fees.
What is percentage?A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.
Given, The tuition at a college increased from 50,000 in 2006 to 59,000 in 2007.
From the general formula of percentage change,
percentage change = change in value/original value * 100
In our case,
original value = 50,000
change in value = 59,000 - 50,000
change in value = 9,000
thus,
Percentage change = 9,000/50,000 *100
Percentage change = 18%
Therefore, the percent increase in tuition fees is 18%.
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Which of the following is a measurement of the space between two objects?
Miles
Area
Pounds
Circumference
Answer:
Miles
Like asking what measures distance between a lake and a city.
What is the volume of a cone with a base area of 16pi in squared and a height of 9 in
I think the answer is 144
Write an equivalent exponential equation for:
[tex]log_{2} (\frac{1}{4} ) = -2[/tex]
Answer: [tex]\frac{1}{4}=2^{(-2)}[/tex]
Step-by-step explanation:
You know that an expression written is logarithmic form is:
[tex]x=log_b(y)[/tex]
And an expression equivalent to the expression above that is written in exponential form is:
[tex]y=b^x[/tex]
Therefore, keeping the information above on mind, you have that an equivalent exponential equation for [tex]log_{2}(\frac{1}{4}) =-2[/tex] , is the shown below:
[tex]\frac{1}{4}=2^{(-2)}[/tex]
Answer:
[tex]\frac{1}{4} =2^{-2}[/tex]
Step-by-step explanation:
We are given the following expression and we are to write an equivalent exponential equation for it:
[tex] log_2 (\frac { 1 } { 4 } ) = - 2 [/tex]
We know that the standard form of a logarithmic expression is given by:
[tex] y = log_a ( x ) [/tex]
which is equivalent to the exponential form [tex] x = a ^ y [/tex].
Therefore, for the given expression, the equivalent exponential equation will be:
[tex] \frac { 1 } { 4 } = 2 ^ { - 2 } [/tex]
MARKING BRAINLIEST! What is 14 x 90 divided by 200
This is through multiplication and division.
Remember your order of operations!
Answer: 6.3
Good luck!
-RxL
Answer:
The answer is 6.3
Step-by-step explanation:
14 x 90 divided by 200 = 14*90/200
= 7*9/10
= 6.3
Express cos 7pi/3 as a trigonometric functions of an angle in quadrant 1 (picture provided)
Answer:
[tex]Cos (\frac{\pi}{3})[/tex]
Step-by-step explanation:
To get the angle in the first quadrant, we need to subtract 2π from the angle given as many times we need UNTIL we get an angle that is between 0 degree and 90 degree (1st quadrant).
Let's start by subtracting 2π from the angle given:
[tex]\frac{7\pi}{3}-2\pi\\=\frac{7\pi -2\pi(3)}{3}\\=\frac{7\pi - 6\pi}{3}\\=\frac{\pi}{3}[/tex]
This angle is in the 1st quadrant, so we don't need to subtract 2π anymore. Thus we can write:
[tex]Cos(\frac{7\pi}{3})=Cos(\frac{\pi}{3})[/tex]
Claire runs 10 km in 1 hour. How many kilometers does she run in half an hour? In 2 1/2hours?
Answer: 5 km and 25 km
At prom, Dina asks a boy to dance. A moment later, her friend decides to ask a boy to dance, too.
Answer:
Dina's friend is jealous of Dina's confidence so she wanted to "what up" her :)
Step-by-step explanation:
Use the x-intercept method to find all real solutions of the equation.
x^3-12x^2+39x-28=0
Answer:
d. [tex]x=1,4,\:or\:7[/tex]
Step-by-step explanation:
The given equation is
[tex]x^3-12x^2+39x-28=0[/tex]
To find all real solutions using the x-intercept method, we to graph the corresponding function using a graphing tool.
The corresponding function is;
[tex]f(x)=x^3-12x^2+39x-28[/tex]
The real solutions to [tex]x^3-12x^2+39x-28=0[/tex], are the x-intercepts of the graph of the corresponding function.
From the graph the x-intercepts are
(1,0),(4,0) and (7,0).
Therefore the real solutions are
[tex]x=1,4,\:or\:7[/tex]
What is the y-intercept of the quadratic function f(x) = (x – 6)(x – 2)? (0,–6) (0,12) (–8,0) (2,0)
Answer:
(0,12)
Step-by-step explanation:
Just plug in 0 for x so (0-6)(0-2) = 12 so that's the y value.
Also, a y intercept has to be of the form (0,y) where y is some number. The x value has to be 0, so that eliminates the last two options automatically, but if we put the x and y value we got together we get (0,12)
Answer:
(0,12)
Step-by-step explanation:
[tex]f(x) = (x - 6)(x - 2)[/tex]
To find out y intercept , plug in 0 for x and find out f(0)
y intercept are the value where the graph crosses y axis
[tex]f(x) = (x - 6)(x - 2)[/tex]
[tex]f(0)= (0-6)(0 - 2)=12[/tex]
When x is 0 the value of y is 12
Write y intercept as (0,y) that is (0,12)
PLEASE HELP ME OUT..........
I got your answer right my guy X=12
Who is correct and why? Kayla is correct; the center is a fixed point in the middle of the sphere. Kayla is correct; the center is a line segment from the center to the surface of the sphere. Raymond is correct; the radius is the fixed point in the middle of the sphere. Raymond is correct; the radius is a chord that is from the center to the surface of the sphere.
Answer:
Kayla is correct; the center is a fixed point in the middle of the sphere.
Answer:
Kayla is correct; the center is a fixed point in the middle of the sphere
Step-by-step explanation:
To understand the solution we need to understand what a sphere is.
What is Sphere?
Sphere is a 3 dimensional solid where every point is equidistant from the center.
what is center and radius?
Center is the point in the middle
radius is the line joining any point on the surface to the center of the sphere
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What is the solution to the following system of equations? 2x+3y=4 x+y=3
Answer:
(5, -2)
Step-by-step explanation:
x + y = 3 can become x = 3-y
we are going to use substitution
now plug x = 3-y into the other equation
2(3-y) + 3y = 4
6-2y+3y = 4
6 + y = 4
subtract 6 from both sides
y = -2
now plug in y back into one of the equations, it doesn't matter which one. I am going to use the x + y = 3 equation
x -2 = 3
x = 5
The original price of the shirt is $20 per shirt is on sale for 20% discount how much money did the fire safe because of the discount
Answer:
$4.
Step-by-step explanation:
20x20%= 4.
Based on the data you collected, what can you conclude about the sum of the angles of all triangles?
The sum of the angle measures of a triangle is what in Degrees
Answer:
180°
Step-by-step explanation:
The measures of the angles in the triangle shown are ...
81.87°, 60.26°, 37.87°
The sum of those measures is ...
81.87° + 60.26° + 37.87° = 180.00°
Find the measure of the numbered angles in the rhombus. The diagram is not drawn to scale.
The measure of angles in a rhombus can be found understanding the properties of a rhombus (i.e., opposite angles are equal and adjacent angles are supplementary) and possibly applying trigonometry in which angles are not aligned in regular horizontal or vertical manner. Specific measurements can be obtained using a protractor.
Explanation:To find the measure of the numbered angles in the rhombus, you need to understand the geometric properties of a rhombus. The opposite angles of a rhombus are equal, and the adjacent angles are supplementary, meaning they add up to 180 degrees. Further, the diagonals of a rhombus bisect its angles, and they are perpendicular to each other, forming 90-degree angles where they intersect.
Clearly, the exact measures of the angles will depend on the specific information provided about the rhombus in your diagram. Here are some steps on how you might determine these measures:
Measurement: Using a protractor, measure the angles provided by the question. Remember to measure correctly from the given angle vertex. Consider the properties of a Rhombus: If the measure of one angle is given, you can determine the measures of the other angles using the properties of a rhombus mentioned above. Application of Trigonometry: In case the rhombus is rotated, or angles aren't aligned horizontally or vertically, you may need to apply trigonometry to determine the angle measures. Learn more about Measure of Angles in Rhombus here:
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What is the surface area of the rectangular prism, if its length is 17 meters?
114 m 2
114 m3
182 m 2
182 m3
see image
Two sides are 3 by 2 = 2 x 3 x 2 = 12 square m.
Two sides are 17 by 2 = 2 x 17 x 2 = 68 square m.
Two sides are 17 by 3 = 2 x 17 x 3 = 102 square m.
Total = 12 + 68 + 102 = 182 m²
Answer:
114m 2
Step-by-step explanation:
A probability experiment is conducted in which the sample space of the experiment is S={ 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14}, event F={5, 6, 7, 8, 9}, and event G={9, 10, 11, 12}. Assume that each outcome is equally likely. List the outcomes in F or G. Find P(F or G) by counting the number of outcomes in F or G. Determine P(F or G) using the general addition rule.List the outcomes in F or G. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.A. F or G = { _____ }(Use a comma to separate answers as needed.)B. F or G = { }Find P(F or G) by counting the number of outcomes in F or G. P(F or G) =________(Type an integer or a decimal rounded to three decimal places as needed.)Determine P(F or G) using the general addition rule. Select the correct choice below and fill in any answer boxes within your choice.(Type the terms of your expression in the same order as they appear in the original expression. Round to three decimal places as needed.)A. P(F or G)=_______+_______−________=_______B. P(F or G)=_______+_______=________
Answer:
A) F or G = {5, 6, 7, 8, 9, 10, 11, 12}; B) P(F or G) = 8/12 = 0.667
Step-by-step explanation:
The outcomes in event F are 5, 6, 7, 8 and 9. The outcomes in event G are 9, 10, 11 and 12. This means that the event F or G, containing all elements of both events, will be
{5, 6, 7, 8, 9, 10, 11, 12}. Note that we do not count 9 twice; it only appears in the sample space once. There are 8 elements out of 12 total in the sample space; this means the probability is 8/12 = 0.667.
Using the addition rule, we begin with P(F). There are 5 elements in this event; this makes P(F) = 5/12.
For P(G), there are 4 elements in G; this makes P(G) = 4/12.
To add them, we add P(F) and P(G) but then must take out the element counted twice; this gives us
5/12+4/12-1/12 = 9/12-1/12 = 8/12 = 0.667.
We have that
F&G={5, 6, 7, 8, 9, 10, 11, 12}[tex]P(FG)=0.667[/tex][tex]P(F or G)=5/12+4/12-(1/12)\\\\ P(F or G)=5/12+1/4[/tex]From the question we are told
S={ 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14}, F={5, 6, 7, 8, 9}G={9, 10, 11, 12}
a)
Generally
The P(F or G) by counting the number of outcomes in F or G is
F&G={5, 6, 7, 8, 9, 10, 11, 12}
b)
P(F or G) using the general addition rule
[tex]P(FG)=\frac{N_f}{N_g}\\\\P(FG)=\frac{8}{12}[/tex]
[tex]P(FG)=0.667[/tex]
c)
Generally Using addition Rue to attain P(F or G) we have
For P(F or G)
[tex]P(F or G)=PF+PG-P(F+G)[/tex]
[tex]P(F or G)=5/12+4/12-(1/12)\\\\ P(F or G)=5/12+1/4\\\\ P(F or G)=\frac{8}{12}[/tex]
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(Q10) It's a long question so I will give you 30 points for answering it. Thank You!
(Picture Below)
Answer:
c. 30.9 °C; 32.9 °C
Step-by-step explanation:
Put the given numbers into the given formula and do the arithmetic.
(a) The temperature of sample 1 is ...
y = (100 -24)e^(-0.12·20) + 24 ≈ 30.9
___
(b) The temperature of sample 2 is ...
y = (100 -4)e^(-0.12·10) +4 ≈ 32.9
Hey nice job up there. Well thought out answer.
find all the zeros of the equation 27x^2-324=-x^4
Answer:The answer is -3 and 3. You can do this by using a graphing calculator and plugging in the equation.
Answer:
3, -3, 6i, -6i
Step-by-step explanation:
What is the value of x in this triangle? Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth. X = ° A right triangle. The perpendicular is labeled as 5. The base is labeled as 20. The alternate base angles are labeled as right angle and x degrees
Answer:
14.04°
Step-by-step explanation:
In this right triangle, we're seeking the measurement of an angle at the base of the triangle and we have the measurements of two of the sides (none are the hypotenuse) : the opposite one of the angle and the adjacent side.
The relationship between the two sides we have the measurement and the angle we are looking for is the tangent:
[tex]tan(\alpha) = \frac{a}{b} = \frac{5}{20} = 0.25[/tex]
To find the angle we do an arctan on 0.25 and we get an angle of 14.04 degrees.
Answer:
14.04
Step-by-step explanation:
i took the test
Please help me with this
Height = SQRT(30^2 - 8^2)
Height = SQRT(900-64)
Height = SQRT(836)
Height = 28.9 feet
Jennifer has a map of Yellowstone National Park. The scale on this map is 1 cm = 9.8 miles. Jennifer measured some distances on the map. What is the actual distance from Old Faithful to West Thumb? A) 22.54 miles B) 24.5 miles C) 27.44 miles D) 29.4 miles
Answer:
its b . 24.5
Step-by-step explanation:
Answer:
24.5
Step-by-step explanation:
HELP
Money loaned for the purpose of earning a share of the profits is called what? A. A personal loan B. Expansion loan C. Money market D. Venture capital
Answer:
C. Money market
Best regards
Final answer:
Venture capital is money loaned for the purpose of earning a share of the profits in startups or small businesses. Venture capitalists provide funds in exchange for equity in the company.
Explanation:
Venture capital is money loaned for the purpose of earning a share of the profits. It is a form of financing for startups or small businesses that have potential for high growth. Venture capitalists provide funds to these companies in exchange for equity, or ownership stake, in the company.
For example, let's say a student wants to start a tech company but doesn't have the funds to do so. They approach a venture capitalist who believes in their idea and is willing to invest money in their company. In return, the venture capitalist will receive a portion of the company's profits.
So, the correct answer is D. Venture capital.
F 1 /2 an apple was shared equally among the 3 people, what fraction of the whole apple did each person receive?
1/6 because 1/3 of 1/2 is 1/6
The sum of 4 consecutive odd numbers is 40. What is the greatest of the 4 numbers
Answer:
13
Step-by-step explanation:
The 4 consecutive odd numbers that have a sum of 40 are 13, 11, 9, 7. 13 is the greatest of these numbers.
Hope this helps
What are the exact and approximate solutions? (Picture below)
Answer: Option a.
Step-by-step explanation:
- Divide both sides of the expression by 7.8:
[tex]7.8e^{\frac{x}{3}ln5}=14\\\\\frac{7.8e^{\frac{x}{3}ln5}}{7.8}=\frac{14}{7.8}\\\\e^{\frac{x}{3}ln5}=\frac{14}{7.8}[/tex]
- By definition:
[tex]e^y=x[/tex]→[tex]y=ln(x)[/tex]
Then:
[tex]\frac{x}{3}ln5=ln(\frac{14}{7.8})[/tex]
- Now, you must solve for x.
Then, you obtain:
[tex]xln5=3ln(\frac{14}{7.8})[/tex]
[tex]x=\frac{3ln(\frac{14}{7.8})}{ln5}[/tex]≈[tex]1.0903[/tex]
Fiona is standing 26 meters from the base of an oak tree. If she measures the angle of elevation to the top of the tree to be 37 degrees, how tall is the tree? Estimate your answer to two decimal places.
let's say hight of tree is x.
from figure attached , using trigonometry we can say
tan 37 = x / 26
multiplying by 26 both side
tan 37 × 26 = x/26 × 26
tan 37× 26 = x
putting value of tan 37
x = tan 37 × 26 = 0.7535 × 26
x = 19.592 meters
Which of the following sampling techniques is the most likely to produce a random sample, representative sample of all students at a high school?
A. Choosing every 10th name on the student roster
B. Choosing every 10th student arriving in a 9th grade homeroom
C. Choosing the first 100 students who arrive at school
D. Asking students to call a phone number to answer survey questions
Answer:
Which of the following sampling techniques is the most likely to produce a random sample, representative sample of all students at a high school?
A. Choosing every 10th name on the student roster
B. Choosing every 10th student arriving in a 9th grade homeroom
C. Choosing the first 100 students who arrive at school
D. Asking students to call a phone number to answer survey questions
Step-by-step explanation:
A random sample is choosing the first 100 students who arrive at school.
What are the different types of sampling techniques ?There are five types of Sampling Techniques
Random sampling is similar to putting everyone's name into a bowl and drawing out random names. Each element has a chance of being called.
Systematic sampling is easier to do than random sampling. In systematic sampling, the list of elements is "counted off". That is, every kth element is taken.
Convenience sampling is very easy to do, but it is the least effective technique to use. In convenience sampling, data that is easily available is used.
Cluster sampling is accomplished by dividing the population into groups usually geographically. These groups are called clusters or blocks. The clusters are randomly selected, and each element in the selected clusters are used.
Stratified sampling also divides the population into groups called strata. However, this time it is by some characteristic, not geographically.
Option C , i.e. Choosing the first 100 students who arrive at school is an example of Random Sampling.
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