Answer:
see below
Step-by-step explanation:
34 * 85 + 34 * 36
= 34 * (85 + 36)
= 34 * 121
= 11 * (34 * 11)
Step-by-step explanation:
(34x11)x11
34x11=374
374x11 is the answer.
Need help with trig in pic
Answer:
A. cos α = – 3/5
B. Sin β = √3/2
Step-by-step explanation:
A. To find the exact value of cos α , we must obtain the Hypothenus for the triangle.
Please attach photo for explanation.
B. To find the value of sin β, we must determine the opposite in the triangle. Please see attached photo for further details.
If f(x) = x2 and g(x) = 3x - 1 find [ gºf(x)
Answer:
gºf(x) = [tex]3x^2 -1[/tex]
Step-by-step explanation:
Given
f(x) = x2
g(x) = 3x - 1
To find
gºf(x)
To find gºf(x) we will use value of f(x) = [tex]x^2[/tex] in place of in g(x)
lets do that
g(x) = 3x - 1
gºf(x) = 3(f(x)) -1
gºf(x) = [tex]3x^2 -1[/tex]
Thus, value of gºf(x) is [tex]3x^2 -1[/tex].
What is the value of x?
Answer: 98 is your answer
Step-by-step explanation:
Owners of a radio station want to obtain information on the radio listening habits in their market area. The market area contains one city of population 150,000, another city of 40,000, and three towns of about 6,000 inhabitants each. The station suspects the listening habits may be different in larger and smaller cities, and in the rural areas, so it splits the market area up accordingly to survey. Which of the following sampling designs best represents the type of survey design described? A cluster sample using regions in the market area as clusters A convenience sample from the market area A simple random sample from the whole market area A stratified sample from the cities and towns in the market area An online poll that invites all people from the cities and towns in the market area to participate
Answer:
The correct option is:
A stratified sample from cities and towns in the market area.
Step-by-step explanation:
Stratified sampling is a method of sampling for a population which usually divided into smaller groups. These groups are known as strata. For research purposes, the size of the population can be too large for a researcher, and will require a lot of time and money to complete the research, which happens in this case. So for ease, the researcher may divide the population in small groups strata, which are easy to handle.
Answer:
A stratified sample from cities and towns in the market area.
Step-by-step explanation:
Took the quiz, give the other dude brainliest tho
2. An arc is a smooth piece of a circle. A major arc of a circle is an arc that is
longer than half the circumference of the circle. Find the measure of the major
arc ABC
Answer: Major arc = ∅/360 (2πr)
Step-by-step explanation: Just as the question stated, an arc is a smooth piece of a circle. Simply put, it is a portion of the entire circumference. The arc is usually bounded by an angle at the center of the circle (very similar to a slice of pizza). Using a slice of pizza as a classic example, the outer edge where the slice is pulled out from is the length of the arc, while the angle at the tip which is pulled out from the center is the angle that encloses the arc.
Just as a slice of pizza is a minor part of the whole shape, in the same way an arc is a minor part of a circle. However, to calculate the length of the arc, the angle at the center which encloses the arc must be given and the radius of the circle must also be given.
If an arc runs around a circle and turns out to be longer than half of the entire length of the circumference, it is labelled as a major arc. Basically, the formula for calculating the length of an arc is the same for either a minor or a major arc.
Therefore, to calculate the length of an arc, you would need to find the proportion of the circle represented by the arc and that can be calculated by dividing the angle binding the arc by 360 (size of an angle at a point equals 360 degrees). So, if the angle that encloses the arc is 60 degrees for example, then the portion of the circle taken by the arc is given as
60/360
This means the length of the arc (which is a portion of the entire circumference) can be determined by multiplying the portion of the central angle by the entire length of the circumference.
Therefore you can calculate the measure of major arc ABC by applying the formula
Length of an arc = ∅/360 (2πr)
Where ∅ is the angle enclosing the arc at the center of the circle
r is the radius of the circle and
π is usually given as 3.14 (or 22/7)
Please note that for a major arc, the value of ∅ would be greater than 180°. The measurement used in the explanation above is just an example for the sake of ease of explanation.
And where the only the angle measure of the minor arc is given, the angle measure of the major arc can be derived as 360 - angle of minor arc. That is;
Angle of major arc = 360 - angle of minor arc
The leading brand of cosmetics in the US had about 20% of the total sales in the industry. The total sales were $2.6 billion
what was the leading brand sales
Answer:
The answer is $520,000,000
Step-by-step explanation:
To find twenty percent of the total $2.6 billion, all you need to do is multiply 2.6 billion * 20%
2.6, 000,000,000 * 20% (or 1/5) is 520,000,000
Drag the tiles to the correct boxes. Not all tiles will be used.
Consider the following function:
f(x) = -3/4x+9.
Place the steps for finding f^-1(x) in the correct order.
Answer: 3 < 4x – 9 < 23
Step-by-step explanation:
What is the factorization of the expression below?
16x^2 - 49
A. (8x + 7)(2x-7)
O B. (4x + 7)(4x - 7)
O C. (8x-7)(2x-7)
O D. (4x-7)(4x-7)
Answer:
B
Step-by-step explanation:
16 x² - 49 ← is a difference of squares and factors in general as
a² - b² = (a + b)(a - b), thus
16x² - 49
= (4x)² - 7²
= (4x + 7)(4x - 7) → B
Answer:
B
Step-by-step explanation:
There is no number between 16x and 49. So only think about the number being squared for 49; which is 7.
Then 49 is negative, so you must have both positive and negative signs in both parenthesis. Otherwise, positive times positive is positive, and negative times negative is also positive.
4x4 is 16. That's why you put fours in front of Xs.
I am sorry for getting this wrong (if i did)
Connie bought 2 1/2 liters of paint for 60$ What was the cost per liter of paint?
Answer:
$24
Step-by-step explanation:
Divide the total cost of the paint by the amount of paint bought.
$60 ÷ 2.5 = $24
I hope this helps :)
The shortest route from London to Cambridge is 60 miles. A lorry is expected to take 1.5 hours to travel this route. The lorry actually travels by a different route which increases the distance by 20%, but it still arrives in 1.5 hours. By how many more mph than the expected speed does the lorry travel?
Answer:
8 mph
Step-by-step explanation:
The lorry's shortest route:
60 miles in 1.5 hours
speed = distance/time = (60 miles)/(1.5 hours) = 40 mph
The longer route:
time = 1.5 hours
distance = 20% more than 60 miles = 1.2 * 60 miles = 72 miles
speed = distance/time = (72 miles)/(1.5 hours) = 48 mph
Difference in speeds: 48 mph - 40 mph = 8 mph
Find the area of the figure below by first finding the areas of the rectangle and triangle.
Answer:
21 units^2
Step-by-step explanation:
Dimensions of rectangle are 3 by 6 units; therefore the area is 18 units^2.
Dimensions of triangle: base is 3 and height is 2; therefore the area of this triangle is (1/2)(base)(height) = (1/2)(3)(2) = 3 units^2
The total area of this figure is (18 + 3) units^2, or 21 units^2
The Area of rectangle is the product of its width to its length.
i.e., Area of rectangle= length x width
Given:
Rectangle:
length= 6 units
width = 3 units
So, area of rectangle= l x w
= 6x 3
= 18 units²
Now, Triangle:
Base= 2 units, height = 3 units
area of triangle= 1/2 x b x h
= 1/2 x 2 x 3
= 3 units²
now, area of figure = area of rectangle + area of triangle
= 18+ 3 = 21 unit²
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If a translation of (x, y) - (x + 6, y - 10) is applied to figure
ABCD, what are the coordinates of D?
А
B
2
(-5, -2)
(1, -12)
(4.-15)
(-9, -6)
Answer:
the answer is b
Step-by-step explanation:
HELP WITH MY HOMEWORK! WILL PICK BRAINLIEST!
5. The formula for calculating the number of
hydrogen ions in a particular inorganic acid is
given as
No. of ions = 6.023 X1023 X Moles
If 32g of the acid contains 2 moles of
hydrogen ions, then how many ions of
hydrogen are present in 96g of same acid?
(Leave your answer in scientific notation only)
Answer:
If 32g of acid = 2 moles of H+ ions
Then 96g = 96×2/32
= 6moles of hydrogen ions
Number of hydrogen ions present
= 6.023 × 10^23 × 6
= 3.6138 × 10^24 hydrogen ions.
Hope this helps
Francisco wrote the number 3 × 10² in
standard form. His answer was 900. What
mistake did he make in order of
operations?
Answer:
Francisco turned 3 into 3^2. I know this because 10^2 = 100 and Francisco multiplied 10^2 by 3.
10^2 = 100
100 * 3 = 300
In order for 300 to get to 900, the 3 would have had to have been squared.
3^2 = 9
3^2 * 10^2 = 900
In other words, he got the exponent for 3 wrong.
Answer:
Step-by-step explanation:
Francisco mistakenly multiplied 10² by 3². So, he got 100*9=900
Correct answer is: 3 * 10² = 3 * 100 = 300
Can somebody help me with this. Do you add the 15 to the 2y or subtract it.
Answer:
4
Step-by-step explanation:
[tex]13x-10=2y+12 \\\\y=15 \\\\13x-10=2(15)+12 \\\\13x-10=30+12\\\\13x-10=42\\\\13x=52\\\\x=4[/tex]
Hope this helps!
4x/5+ 2 =5x/13+ 5 pls answer
Answer:
x=0
Step-by-step explanation:
solve with cross multiplying
Answer:
7.2222...
Step-by-step explanation:
Well first, to make it easier, remove the fractions by multiplying both sides by the LCM (or 65 in this case).
Thus, we will have:
[tex]65(\frac{4x}{5}+2)=65(\frac{5x}{13}+5)[/tex]
[tex]65(\frac{4x}{5})+65(2)=65(\frac{5x}{13})+65(5)[/tex]
[tex]52x+130=25x+325[/tex]
Now, simply isolate the [tex]x[/tex].
[tex]52x=25x+195[/tex]
[tex]27x=195[/tex]
[tex]x=7.2222...[/tex] or [tex]\frac{65}{9}[/tex]
Which of the diagrams below represents the contrapositive of the statement
"If it is an equilateral triangle, then it is an isosceles triangle"?
A. Figure A
B. Figure B
Answer:
The correct figure is B.
Step-by-step explanation:
The statement provided is:
"If it is an equilateral triangle, then it is an isosceles triangle"
The contra-positive of a statement is determined by switching the hypothesis and conclusion of the provided statement and negating both.
Then the contra-positive of the statement provided will be:
Switching the hypothesis and conclusion:If it is an isosceles triangle - It is an equilateral triangle.
Negating both the statements:If it is not an isosceles triangle - it is not an equilateral triangle.
Thus, the contra-positive of the statement is:
"If it is not an isosceles triangle, then it is not an equilateral triangle."
Thus, the correct figure is B.
The graph of y=-3x+ 2 is:
Answer:
A
Step-by-step explanation:
This is a linear function whose slope is -3 and whose y-intercept is (0, 2). Answer A is correct.
The Value of 3^4 + 5 . 5= ___. please help!!!!!!!!!
Answer:
[tex]86.5[/tex]
Step-by-step explanation:
[tex]3^4+5.5[/tex]
[tex]81+5.5[/tex]
[tex]86.5[/tex]
Answer:
86.5
Step-by-step explanation:
3^4 + 5 . 5
Exponents first
3^4=81
81+5.5
86.5
Sorry for my first answer
GO
Solve:
10
= 2
a. x = 5
B. x = 10
C. X = 20
d. x = 15
Please select the best answer from the choices provided
Answer:
the answer is C:x=20 I used a calculator
Assume the weight of adult males is normally distributed. The following weight of adult males in lbs taken in a recent study. 150 152 154 155 156 158 158 160 161 163 164 165 165 166 166 166 167 167 168 169 171 172 174 174 176 177 178 179 179 181 183 Assume the standard deviation for weight is 10 lbs. A recent boat seat is graded for between 160 and 175 lbs. What percentage of males would be able to use this boat seat?
Answer:
80%
Step-by-step explanation:
The number of males with weight between 160 and 175 lbs is 12
So since we were told that the boat seat is graded for males with 160 to 175lbs
=175lbs-160 lbs =15
=12/15*100
=80%
What are the coordinates of the image of R for a dilation with center (0,0) and scale factor 3?
Answer:
(3, -3)
Step-by-step explanation:
If a point is dilated about the origin rule to be followed,
(x, y) → (kx, ky)
where k is a scale factor by which the point is being dilated.
If a point R having coordinates (1, -1) is dilated by scale factor of 3, coordinates of the image will be [3×1, 3(-1)]
Therefore, coordinates of the image R' will be (3, -3)
For the following right triangle, find the side length x. Round your answer to the nearest hundredth.
Work Shown:
Use the pythagorean theorem to find x
a^2 + b^2 = c^2
x^2 + 11^2 = 13^2
x^2 + 121 = 169
x^2 = 169 - 121
x^2 = 48
x = sqrt(48)
x = 6.92820323027551
x = 6.93
Answer:
x=6.93
Step-by-step explanation:
This is a right triangle, therefore we can use the Pythagorean Theorem.
a^2+b^2=c^2
where a and b are the legs and c is the hypotenuse.
In this triangle, x and 11 are the legs, because the form the right angle. 13 is the hypotenuse because it is opposite the right angle.
a=x
b=11
c=13
x^2+11^2=13^2
Evaluate the exponents.
11^2=11*11=121
13^2=13*13=169
x^2+121=169
Now we must solve for x by getting x by itself. First, subtract 121 from both sides.
x^2+121-121=169-121
x^2=169-121
x^2=48
x is being squared, so we should take the square root of both sides.
√x^2=√48
x=√48
x=6.92820323
Round to the nearest hundredth. The 8 in the thousandth place indicates we should round the 2 in the hundredth place to a 3.
x=6.93
Find the value of x.
Answer:
64 degreesStep-by-step explanation:
Lets find the third angle of the isosceles triangle that has an measure of 29 for one of the angles
Lets use the angle sum theorem and isosceles triangle definition
180=n+29+29
180=n+58
n+58=180
n=180-58
n=122
This angle is supplementary to one of the two congruent angles of the triangle that contains angle x
180=y+122
y+122=180
y=180-122
y=58
The triangle that has angle x is isosceles, thus we can use the following equation to find x
180=58+58+x
180=116+x
116+x=180
x+116=180
x=180-116
x=64 degrees
can someone please help me?? I don’t understand this
Answer:
see explanation
Step-by-step explanation:
It just means plug in the points into f(x)
-6 = -8
-1 = -3
1 = -1
6 = 4
plz help me i need it today
Answer:
Question #3:T-Bone
Question #4:51 cars
Step-by-step explanation:
Question #3: divide each cost by 16 because 1 pound=16 oz
Question #4: 32/5 times 8=51.2 cars
help me with right answer plz
Answer:
15.5
Step-by-step explanation:
CAH
cos=adj/hyp
cos60= x/31
0.5=x/31
x= 15.5
Which is the inverse of the function f(x) = 4x − 9?
y = 4(x + 9)
Answer:
The inverse is 1/4x + 9/4
Step-by-step explanation:
f(x) = 4x − 9
y = 4x -9
Exchange x and y
x = 4y -9
Solve for y
Add x to each side
x+9 = 4y
Divide by 4
1/4x + 9/4 = y
The inverse is 1/4x + 9/4
Determine the value of the missing exterior angle. options: A) 104° B) 256° C) 72° D) 92°
answer: X would equal 104
Step-by-step explanation:
you would first find the interior angle for the other 2 exterior angles this would lead for the other 2 interior angles would be 88 and 16 so you would have 180 - 176 so then you do 180- 76 to find the missing angle of X
Missing exterior angle is 104°.
What is exterior angle?Exterior angles are angles that are parallel to the inner angles of a polygon but lie on the outside of it. The measure of an exterior angle is equal to the sum of the two internal opposite angles.
Given,
In the figure
Measure of exterior angles = 92°, 164°, x°
Sum of exterior angles of triangle is 360°
92° + 164° + x° = 360°
256° + x° = 360°
x° = 360° - 256°
x° = 104°
Hence, 104° is the measure of the missing exterior angle.
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Square ABCD has a side length of 12 centimeters . Find the area of the square Type a numerical answer in the space provided Do not include units or spaces in your answer
Answer:
144
Step-by-step explanation:
Area of a square is [tex]s^2[/tex]
The side length is 12 cm.
[tex]12^2=144[/tex]
Therefore, the area of the square is [tex]144 \: cm^2[/tex].