Answer:
90°
Step-by-step explanation:
A complement angle is the same as a right angle
Hii!
___________________________________________________________
Answer:
[tex]\sf 48\textdegree[/tex][tex]\sf 55\textdegree[/tex]Step-by-step explanation:
The sum of complementary angles is always 90 degrees.
We can find the complements of these two angles by setting up an equation.
x+42=90
Subtract 42 from both sides
x=48
This problem can be solved the same way!
x+35=90
Subtract 35 from both sides
x=55
--
Hope that this helped! Best wishes.
--
use interval notation to express the following: the set of all numbers greater than or equal to 5 and less than or equal to 7
[5, +∞) ∪ (-∞,7] is the notation to express the set of all numbers greater than or equal to 5 and less than or equal to 7.
We need to use interval notation to express the set of all numbers greater than or equal to 5 and less than or equal to 7.
What is a set?A set is a mathematical model for a collection of different things; a set contains elements or members, which can be mathematical objects of any kind: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other sets.
Let x belong to the set of real numbers (R)
Now, x≥5 and x≤7.
So, x≥5⇒[5, +∞) and x≤7⇒(-∞,7]
Therefore, the notation will be [5, +∞) ∪ (-∞,7].
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What graph best represents the data
A graph is a way to represent a lot of data in such a visual format that it is easy for the user to understand the complete information in one go. The correct option is A.
What is a graph?A graph is a way to represent a lot of data in such a visual format that it is easy for the user to understand the complete information in one go. Usually, the line of the graph is a function that follows the graph.
A histogram is a statistical information presentation that employs rectangles to illustrate the frequency of data items in equal-sized numerical intervals. The independent variable is represented along the horizontal axis and the dependent variable is plotted along the vertical axis in the most frequent kind of histogram.
The best graph that can represent the given situation is Histogram. Hence, the correct option is A.
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for
If a study determines the difference in average salary
subpopulations of mechanical engineers and civil
engineers is NOT significant, then the subpopulations
of mechanical and civil engineers are
different
salaries.
A
Guaranteed not to be earning
B
Not earning
C) Earning very
D Definitely earning
A mean is an arithmetic average of a set of observations. The correct option is B.
What is Mean?A mean is an arithmetic average of a set of observations. it is given by the formula,
Mean = (Sum of observations)/Number of observations
The average pay does not differ significantly since the average wage for subpopulations is not significant. As a result, the subpopulations of mechanical and civil engineers are Not earning different salaries.
Hence, the correct option is B.
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Rewrite each of the following expressions without using absolute value: |x-5|+|x+5| if x<-5
For [tex]x < -5[/tex]:
[tex]x-5 < 0 \Rightarrow |x-5|=-(x-5)=-x+5\\x+5 < 0\Rightarrow |x+5|=-(x+5)=-x-5[/tex]
So
[tex]|x-5|+|x+5|=-x+5-x-5=-2x[/tex]
Wei Xun bought 8 pieces of chocolates and 10 lollipops for $17. The average price of a piece of chocolate was S$1. What was the average price of a lollipop?
Answer:
$0.90
Step-by-step explanation:
If each piece of chocolate is $1, then 8 pieces is $8. Wei Xun bought 8 pieces of chocolate and 10 lollipops, which came out to $17. The chocolate was $8 total, leaving $9 for the 10 lollipops. 9/10 = 0.9. So, each lollipop was $0.90, or 90 cents.
Write the integral and solve for the area under the curve:
Answer:
Integral: [tex]\int\limits^\pi _0 {3sinx} \, dx[/tex]
Area: 6
Step-by-step explanation:
[tex]\int\limits^\pi _0 {3sinx} \, dx = -3[cosx]_{0} ^{\pi} = 6[/tex]
On a walk through the woods, Mr. Finley saw 16 blue jays and 25 purple finches. Write the ratio of finches to blue jays three different ways.
Answer:
25:16
50:32
100:64
Step-by-step explanation:
Houses in an real estate are all identical however a person can purchase a new house with some all or none of a set of options as indicated by the set below
how many options are there for purchasing a house in this community
{ pool , alarm , lake view , balcony }
Considering the number of subsets of the set of options, it is found that there are 16 options for purchasing a house in this community.
What is the number os subsets of a set of cardinality n?The number of subsets is given by:
[tex]N_s = 2^n [/tex]
The set of options is given by:
O = { pool , alarm , lake view , balcony }
Which has cardinality n = 4.
The number of options for the purchased home is the number of subsets of set O, hence:
[tex]N_s = 2^4 = 16[/tex]
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Based on local population projections for 2010, school district 31 will lose 5 teaching positions, district 222 will lose 5 teachers, and district 225 will lose 2. Write a
signed number that represents the total number of teachers that these three school districts are projected to lose.
What is the signed number that represents the total number of positions that these three districts are projected to lose?
Answer:
2+3+4 = 9
Add the three numbers of the three school districts that project to lose.
the angle is 36.2 less than it’s complementary angle
Answer:
below
Step-by-step explanation:
Measure of each angle is 27 and 63 degrees.
A clinical psychologist is administering the Hamilton Rating Scale for Depression (Hamilton, 1967). The scale ranges from 0 to 52. Scoring is based on the 17-item scale and scores of 0–7 are considered as being normal, 8–16 suggest mild depression, 17–23 moderate depression and scores over 24 are indicative of severe depression (Zimmerman, Martinez, Young, Chelminski, & Dalrymple, 2013).
We have some evidence about the mean score for the Hamilton Rating Scale for Depression among the population of adolescents: μ = 6 with a standard deviation of σ =1.5. The clinical psychologist’s patient, a 14-year old girl, scores a 10 on the scale. How would you describe her score relative to the population of adolescents? (Please use your knowledge of z-scores to answer this question.)
Using the normal distribution, it is found that the girl's score of 10 is higher than 99.62% of the population.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.The mean and the standard deviation are given, respectively, by:
[tex]\mu = 6, \sigma = 1.5[/tex].
Her z-score is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{10 - 6}{1.5}[/tex]
Z = 2.67
Z = 2.67 has a p-value of 0.9962.
Hence her score is higher than 99.62% of the population.
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please help
0.06/1.71
Answer:
0.04
Step-by-step explanation:
0.03508772
The points (-15, r) and (-3, 16) lie on a line with slope 5/4. Find the missing coordinate r.
Answer:
r = 1
Step-by-step explanation:
we know that :
[tex]Slope=\frac{y_{B}-y_{A}}{x_{B}-x_A}[/tex]
Then
[tex]\frac{5}{4} =\frac{16-r}{-3-(-15)}[/tex]
Then
[tex]\frac{5}{4} =\frac{16-r}{12}[/tex]
Then
5×12 = 4×(16-r)
Then
60 = 64 - 4r
Then
4r = 64 - 60
Then
4r = 4
Then
r = 1
A tea shop owner is mixing a blend of two teas, one of which costs $6.50 per pound, the other costing $4.00 per pound. The owner wants to have 20 pounds of a mixture that will sell for $5.50 per pound. How much of each type of teach should be used?
Answer:
12 pounds of tea-1 and 8 pounds of tea-2 should be used.
Step-by-step explanation:
90ft×7ft requires1/2 ounces toof solution per square ft to clean.How much solution is necessary to clean floor
The amount of the cleaning solution is required to clean the hallway will be 315 ounces.
The complete question is given below.
A hallway measuring 90 feet by 7 feet requires 1/2 a fluid ounce of cleaning solution per square foot. How much cleaning solution is required to clean the hallway?
What is the area of the rectangle?Let L be the length and W be the width of the rectangle.
Then the area of the rectangle will be
Area of the rectangle = L × W square units
A hallway measuring 90 feet by 7 feet requires 1/2 a fluid ounce of cleaning solution per square foot.
Then the amount of the cleaning solution is required to clean the hallway will be
Amount of cleaning solution = 1/2 × area of hallway
Amount of cleaning solution = 0.5 × (90 × 7)
Amount of cleaning solution = 315 ounces
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Factor: 120u² + 125u + 30.
Answer:
5(3u+2)(8u+3)
Step-by-step explanation:
lmk if you want an explanation
Answer:
5(3u+2)(8u+3)
Step-by-step explanation:
Well you first want to factor out any GCF which in this case is 5
5(24u² + 25u + 6)
so now a, b, c = 24, 25, 6.
ac = 144
factors of 144 that add up to 25 are 9 and 16
rewrite equation
(24u² + 9u) + (16u + 6)
factor out GCF
3u(8u+3) + 2(8u + 3)
(3u+2)(8u+3)
plug that back into entire equation
5(3u+2)(8u+3)
Hi supreme turtle this is the question
Answer:
< $0 --------------$35------ $50>
Step-by-step explanation:
wait that's not the full question but uh I assume that's 30% off $50?
it would be 0.3x50 which is 15 and 50-15 is 35.
the range is 0 - $50 if I'm not mistaken
< $0 -------------------------- $50> scuffed number line
but 35 is somewhere around here?
< $0 --------------$35------ $50>
If $4500 is invested at 10% annual interest, which is compounded continuously, what is the account balance after 3 years, assuming no additional deposits or withdrawals are made?
Answer:
$6074.36
Step-by-step explanation:
The formula for continuous compounding is
F = Pe^(rt)
F = $4500 × e^(0.1 × 3)
F = $6074.36
Answer: $6074.36
Each phrase in the table describes two variables whick are strongly correlated. Select all phases that imply correlation without causation.
The complete question is attached below.
The most correct phases that imply correlation without causation are 1, 5, and 6.
What is correlation?The correlation of two pairs of data values tells about the degree of movement(along or opposite) that can occur in one of the data values when another data value is increased or decreased respectively.
The most correct phases imply correlation without causation are;
The number of stuffed animals produced at a factory and the number of newborn babies.
The number of videos rented and the number of films in the theater.
The number of pets in the neighborhood and the amount of grass nearby.
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Write the number below as a fraction in its simplest form
0.125 the 1 and 5 are recurring
If we write 0.125 in the fraction form then we will get 7/20.
Given Number which is 0.125
We are given a number 0.125 and we have to write this in fraction form.
0.125 can be written as 125/1000 it can be written as 7/20 by cutting on the numerator and denominator.
Fraction is a combination of numerator and denominator. If a fraction is solved then it comes in the decimal form. Recurring means the numbers which are coming again and again after the decimal.
In this fraction we have to ignore 1 and 5 because we have no idea how many times it is coming after decimal.
Hence the number 0.125 can be written as 7/20 in the fraction form.
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An electrician charges a $40 fee to make a house call plus an hourly rate for labor. If the total bill that takes 2 hours comes to $99 what is the electrician hourly labor rate?
9 out of 10 students prefer maths class over lunch how many students do not prefer math if 200 students were asked?
Answer: 180
Step-by-step explanation: 200 % 2 = 100
9/10 = 90/100
90 * 2 = 180
Answer:
20 students
If 9 out of 10 student prefer math over lunch, then 1 out of ten DO NOT. With this information you can set up a simple proportion: [tex]\frac{1}{10} =\frac{x}{200}[/tex].
To solve for x, you cross multiply as follows:
1*200=10x
200=10x
20=x
Hence, x equals 20, and 20 students do not prefer math over lunch.
Hope I helped!!!!!!!!!!!!!:)
Follow the steps to find the
area of the shaded region.
First, use the formula
below to find the area
of the whole sector.
=
angle of sector
360
¹) πr²
Sector Area = [?] cm²
Round to four decimal places.
Sector Area
14 cm
46°
14 cm
Enter
Based on the calculations, the area of the whole sector is equal to 4,508 cm².
Given the following data:
Angle of sector = 46°.Radius of circle = 14 cm.How to calculate the area of a sector?Mathematically, the area of a sector can be calculated by using this formula:
Area of sector = θr²/2
Where:
r is the radius.θ is the central angle.Substituting the given parameters into the formula, we have;
Area of sector = 46 × 14²/2
Area of sector = 46 × 196/2
Area of sector = 9016/2
Area of sector = 4,508 cm².
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I don’t get this question
Simplify 4.5:9.9:8.1
Please help
Answer:
5:11:9
Step-by-step explanation:
Change the decimal to fractions
45/10:99/10:81/10
Multiply through by the Lowest Common Factor 10
10×45/10:10×99/10:10×81/10
Which makes it
45:99:81
They have a common factor which is 9, so divide through by 9
45/9:99/9:81/9
Your answer is
5:11:9
Hope it helps
Sampling is used in the situations
A. Cooking rice in an utensil
B. Purchase of food commodity from
C. shopkeeper
D. All the above
E. Blood test of the patients
Answer:
all of the above
Step-by-step explanation:
please mark me as brainliest
Which number is irrational?
C
-4
C
2
g
O 11
O 8.26
The irrational number in the given options is √11
What is an irrational number?Irrational numbers are set of all real numbers in mathematics that are not rational numbers in nature. By the word rational, we mean that they cannot be expressed or represented in a fraction of a/b.
where;
a = numeratorb = denominatorIn other words, it is impossible to describe an irrational number as the ratio of two integers.
From the given options, the square root of 11 is the only number that cannot be expressed as a fraction, therefore, we can conclude that it is considered the only irrational number in the given options.
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2 more than product of a number and 9 is 8. variable w
Answer:
w (number) = 2/3
Step-by-step explanation:
Variable w means use the letter w as the unknown number :
This is the equation made from the question :
2+(9w) = 8
Let's subtract 2 from both sides :
9w = 6
Divide both sides by 9 :
w = 6/9
Simplify fraction :
w = 2/3
Hope this helped and have a good day
How many solutions exist for the given equation?
3(x - 2) = 22 -x
Answer:
One solution
Step-by-step explanation:
The equation can be rewrite as 3x - 6 = 22 - x
so we try to get all the x on one side so we add x and 6 to both sides so we get 4x = 28 then we divide by 4 both side and get x=7
please help to answer with working.
Answer:
When r=0.2, m=0.016g
When m=0.25, r=0.5cm
When r=0.7, m=0.686g
When m=11.664, r=1.8cm
Step-by-step explanation:
General outline of steps for proportionality problems:
Identify the type or proportionality.Find the proportionality constant using a known input/output pair.Use the proportionality equation to find other unknowns.Background on proportionality relationshipsThere are two main types of proportionality, "direct" and "inverse", and then there are modifications that can be made to them. Several examples are listed below:
Direct proportionality examples
y is directly proportional to x: [tex]y=kx[/tex]y is directly proportional to the square of x: [tex]y=kx^2[/tex]y is directly proportional to the cube of x: [tex]y=kx^3[/tex]Inverse proportionality examples
y is inversely proportional to x: [tex]y=\dfrac{k}{x}[/tex]y is inversely proportional to the square of x: [tex]y=\dfrac{k}{x^2}[/tex]In each case, irregardless of which type, the two quantities are related with some extra letter "k", called the proportionality constant. Either way, the proportionality constant "k" is always in the numerator, and the quantity is either multiplied to or divided from the proportionality constant "k".
Notice that for direct proportionality, in each case, the equation always ends up as "k times" the quantity.
On the other hand, notice that for inverse proportionality, in each case, the equation always ends up as "k divided by" the quantity.
Step 1. Identify the type or proportionality (Setting up our proportionality equation)The problem says "... the mass, m g, of a sphere is directly proportional to the cube of its radius, r cm...", so our equation will look like [tex]m=kr^3[/tex].
Step 2. Finding the proportionality constantTo find the proportionality constant for our situation, one must know a full input/output pair. Notice that in the 4th column, [tex]r=1.5[/tex] and [tex]m=6.75[/tex].
Substituting these values into our equation, we can find "k".
[tex](6.75)=k(1.5)^3[/tex]
[tex]6.75=k*3.375[/tex]
[tex]\dfrac{6.75}{3.375}= \dfrac{k*3.375}{3.375}[/tex]
[tex]2=k[/tex]
So, the proportionality constant for this situation is 2, and our equation for this situation becomes: [tex]m=2r^3[/tex]
Step 3. Finding the other inputs/outputsNow that we know the proportionality constant for this situation, if we have either the input OR the output, we can solve for the other unknown.
r=0.2
[tex]m=2r^3[/tex]
[tex]m=2(0.2)^3[/tex]
[tex]m=2(0.008)[/tex]
[tex]m=0.016[/tex]
Recall the the question said that the mass, m, was measured in grams, and the radius, r, was measured in centimeters. So, if the radius is 0.2cm, then the mass of the sphere would be 0.016g.
m=0.25
[tex]m=2r^3[/tex]
[tex](0.25)=2r^3[/tex]
[tex]\dfrac{0.25}{2}=\dfrac{2r^3}{2}[/tex]
[tex]0.125=r^3[/tex]
[tex]\sqrt[3]{0.125} = \sqrt[3]{r^3}[/tex]
[tex]0.5=r[/tex]
So, if the mass of the sphere were 0.25g, the radius of the sphere would be 0.5cm.
r=0.7
[tex]m=2r^3[/tex]
[tex]m=2(0.7)^3[/tex]
[tex]m=2(0.343)[/tex]
[tex]m=0.686[/tex]
So, if the radius is 0.7cm, then the mass of the sphere would be 0.686g.
m=11.664
[tex]m=2r^3[/tex]
[tex](11.664)=2r^3[/tex]
[tex]\dfrac{11.664}{2}=\dfrac{2r^3}{2}[/tex]
[tex]5.832=r^3[/tex]
[tex]\sqrt[3]{5.832} = \sqrt[3]{r^3}[/tex]
[tex]1.8=r[/tex]
So, if the mass of the sphere were 11.664g, the radius of the sphere would be 1.8cm.
5=1 2/3x how do I solve for x?
You'll first Cross multiply: 5× 3x
that'll give you 15x.
15x=12(12 is a numerical constant).
Divide both sides by the the coefficient of X .That is 15x/15= 12/15
Therefore the answer is 12/15= x
[tex]\huge\textbf{Hey there!}[/tex]
[tex]\mathsf{5 = 1 \dfrac{2}{3}x}[/tex]
[tex]\mathsf{1 \dfrac{2}{3}x = 5}[/tex]
[tex]\mathsf{\dfrac{1\times3 + 2}{3}x= 5}[/tex]
[tex]\mathsf{\dfrac{3 + 2}{3}x = 5}[/tex]
[tex]\mathsf{\dfrac{5}{3}x = 5}[/tex]
[tex]\large\text{MULTIPLY }\rm{\dfrac{3}{5}}\large\text{ to BOTH SIDES}[/tex]
[tex]\mathsf{\dfrac{3}{5}\times\dfrac{5}{3}x = \dfrac{3}{5}\times5}[/tex]
[tex]\large\text{SIMPLIFY IT!}[/tex]
[tex]\mathsf{x = \dfrac{3}{5}\times5}[/tex]
[tex]\mathsf{x = \dfrac{3}{5}\times\dfrac{5}{1}}[/tex]
[tex]\mathsf{x = \dfrac{3\times5}{5\times1}}[/tex]
[tex]\mathsf{x = \dfrac{15}{5}}[/tex]
[tex]\mathsf{x = \dfrac{15\div5}{5\div5}}[/tex]
[tex]\mathsf{x = \dfrac{3}{1}}[/tex]
[tex]\mathsf{x = 3\div1}[/tex]
[tex]\mathsf{x = 3}[/tex]
[tex]\huge\text{Therefore, your answer: \boxed{\mathsf{x = 3}}}\huge\checkmark[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]