Answer:
I hope this helps you! Have a great rest of your day.
06.10 Module Six Practice Test
Est. Length: 2:00:00 Wyatt Stewart: Attempt 1
What is the value of the expression 22 +42 = 22? (1 point)
O 1) 3
O2) 6
0 3 8
04) 16
Answer: 04) 16
Step-by-step explanation:
The given expression is : [tex](22+42)\div2^2[/tex]
Since [tex]22+42=64[/tex]
and
[tex]2^2=2\times2=4[/tex]
So, by using these values the given expression will become
[tex](22+42)\div2^2=64\div 4 =16 \ \ \ [\text{As }16\times4=64][/tex]
Thus, the value of the expression [tex](22+42)\div2^2[/tex] is 16.
Hence, the correct option is "04) 16."
Solve for x 4 ( x + 3 ) < 3 ( x + 5 )
Answer: x < 3
Step-by-step explanation:
4(x + 3) < 3(x + 5)
4x + 12 < 3x + 15 Distributed
x + 12 < 15 Subtracted 3x from both sides
x < 3 Subtracted 12 from both sides
Answer:
4x^2+9x-15<0
Step-by-step explanation:
x.4(x+3)<3(x+5)
(4x)(x+3)<3x+3x5
(4x)(x+3)<3x+15
4xx+4x.3<3x+15
4x^1+1+4x3x<3x+15
4x^2+12x<3x+15
(4x^2+12x)+(-3x-15)<(3x+15)+(-3x-15x)
4x^2+9x-15<3x-3x+15-15
4x^2+9x-15<0
Can you please help solve this division problem. If you explain I will give Brainly
Hey there! :)
Answer:
5a².
Step-by-step explanation:
Solve this expression by finding how many times 9a² goes into [tex]45a^{4}[/tex]. Since we are only dividing from a monomial, long division does not need to be used.
Begin by solving for the coefficient:
45 ÷ 9 = 5.
Solve for the exponent of a:
[tex]a^{4}[/tex] ÷ a² (subtract exponents when dividing) = a². Therefore:
[tex]45a^{4}[/tex] ÷ 9a² = 5a².
Given that 0≤β<2π, find all the solutions to the equation 2sin^2β=7sinβ+4.
Answer:
Step-by-step explanation:
2sin²β-7sinβ-4=0
2sin²β-8sin β+1 sin β-4=0
2 sin β(sin β-4)+1(sin β-4)=0
(sin β-4)(2sin β+1)=0
either sin β-4=0
sin β=4 (rejected,as |sin β|≤1)
or
2 sin β+1=0
sin β=-1/2=-sin (π/6)=sin (π+π/6),sin (2π-π/6)
β=7π/6,11π/6
Image point B'(4, -8) was transformed using the translation (x-2, y + 3). What were the coordinates of B?
(2, -5)
(6,-5)
(2,-11)
(6.-11)
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Answer:
B(6 , -11)
Step-by-step explanation:
(x-2 , y+3) = (4 , -8)
Compare the x & y co ordinates
x - 2 = 4 ; y + 3 = -8
x = 4 +2 ; y = -8 - 3
x = 6 ; y = -11
B(6 , -11)
Will give brainiest :)
Answer:
x= 116°
y= 127°
Step-by-step explanation:
x... The angle subtended at the centre is twice the angle subtended at the cicumfernce by the same arch
y.... Angle in a cyclic quadrilateral add up to 180°
hence 180-53=127
The number 99 is increased to 104. What is the percentage by which the number was increased, to the nearest tenth of a percent?
Answer:
5%
Step-by-step explanation:
104/99=1.05
Answer: 5%
Step-by-step explanation:
if you do the math of 99+5% you will get 103.95 and if you round that to the tenth you get 104.
in your own words, how geometric seqences are related to exponetiol functions
Answer:
Geometric sequences are exponential functions
Step-by-step explanation:
Geometric sequences are exponential functions.
The general term of a geometric sequence is given by the exponential function ...
a[n] = a[1]·r^(n-1)
where a[1] is the first term and r is the common ratio.
You will notice that the independent variable (n) is in the exponent of this function. Hence it is an exponential function.
Question 5 (1 point)
(06.02 LC)
Which statement best describes the expression 3y = 8? (1 point)
O 1) 8 divided by 3 times y
O2) 8 times y divided by 3
03) 3 divided by 8 times y
O4) 3 times y divided by 8
Answer:
Step-by-step explanation:
None of these choices is correct.
3y = 8 is an equation, not an expression. It states that "y is 8 divided by 3," which again is an equation.
Answer:
3 times y divided by 8
Step-by-step explanation:
Sign numbers, ratios & Proportion
(+10) + (+6) = ?
Answer:
16
Step-by-step explanation:
Putting a + in front of a number indicates that the number is positive. so we are just going to add it up.
10+6=16
10:6=5:3
Hope it helps:)
several people at a local mall were surveyed about the kind of vehicle they drive and whether they own or rent their home. Use the results listed in the table to find the probability that a randomly selected person from the survey either rents their home or drives an SUV.
Answer as a fraction = 18/25
Answer in decimal form = 0.72
Answer in percent form = 72%
=========================================================
Explanation:
We have A = 6+6+1 = 13 people who rent their home (add the values along the bottom row). There are B = 5+6 = 11 people who drive an SUV (add up the values in the SUV column). There are A+B = 13+11 = 24 people who either rent their home or drive an SUV. Keep in mind that 6 people have been double counted if we just go with A+B without adjustment. These 6 people both rent their home and drive an SUV. To correct for the double-count, we subtract off 6 from A+B to get A+B-6 = 24-6 = 18.
So there are 18 people who rent their home, drive an SUV, or both.
This is out of 4+5+3+6+6+1 = 25 people surveyed total.
The probability of selecting someone who rents their home or drives an SUV is 18/25. In decimal form that is equivalent to 0.72 which converts to 72%
3. In the diagram O is the centre of
the circle.
AOC is a straight line.
Angle BAO is 24° and Angle ADO is 42°
a)find angle CAD
b)find the size of ACB
c)find the size of angle BCD
Answer:
Step-by-step explanation:
a) angle CAD= angle ODA ( in triangle OAD, OA=OD(same radius) angels opp to equal sides are equal)
hence angle CAD=42
b)angle b =90(angle subtended by diameter)
hence using angle sum property in triABC,
angle ACB=66-------------eq4
c) in tri OAD,
Angle AOD=180-(42+42)-------(using angle sum prop.)
=> 96-----------------eq1
angleACD=1/2 Angle AOD ( angle subtende by an arc at centre is double the angle subtended...)
hence angle ACD =1/2 x 96(from eq1)
angleACD=48--------------eq3
from eq 3,and eq4,
angle BCD= 48+66
=114 degree...
hope this helped you........pls mark brainliest
a) Measure of angle CAD is, 42°
b) The size of ACB is, 66°
c) The size of angle BCD is, 114°
What is Circle?The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
Given that;
In the diagram O is the center of the circle.
And, AOC is a straight line.
Here, Angle BAO is 24° and Angle ADO is 42°.
Now,
a) In triangle OAD,
⇒ OA=OD (same radius)
And, Angels opposite to equal sides are equal.
Hence, We get;
⇒ ∠CAD= ∠ODA
⇒ ∠ CAD = 42°
b) We have;
⇒ ∠B =90 (Angle subtended by diameter)
Hence, By using angle sum property in ΔABC,
⇒ ∠ BAC + ∠ACB + ∠B = 180°
⇒ 24 + ∠ACB + 90° = 180°
⇒ ∠ ACB = 66°
c) In ΔOAD,
⇒ ∠AOD = 180 - (42 + 42) ( By using angle sum property)
= 96
And, Angle subtended by an arc at center is double the angle subtended.
Hence, We get;
⇒ ∠ACD = 1/2 ∠AOD
= 1/2 × 96
= 48°
Hence, We get;
⇒ ∠ BCD = 48° + 66°
= 114°
Learn more about the circle visit:
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can you also answer these?!?
i cannot see the question for #33, but for
#34, im sure there are a bit more efficent ways to find surface area, but i just find the area of each square. area of top and bottom=240 square inches (120+120); area of shorter sides=60 square inches (30+30); area of longer sides= 72 square inches (36+36). add all of those together, so the total surface area is 372 square inches. So basically Charlene will need 372 square inches of wrapping paper
#35 the formula for volume is length*width*height. So do 60*45.5*14=38,220 cubic ft.
#36 first find the area of that triangle. (6*14)/2=42. Then find area of square which is 20*14=280. Add those (280+42) and get 322. So the area of the polygon is 322 square mm
Another help!! I need help ASAP guys
Answer:
B (the second choice)
Step-by-step explanation:
to calculate the area of a circle you use the formula A= π r²
the radius of the circle is 5 in, so the only answer that could work is
π(5in)²(30/360).
Hope this helps <3
~sunflowerpug
UwU
Two terms of an arithmetic sequence are a5=23 and a20=98. find the first 60 terms of the sequence
Answer:
[tex]-37,-32,-27,-22,-17,-12,-7,-2,3,8,\\13,18,23,28,33,38,43,48,53,58\\63,68,73,78,83,88,93,98,103,108\\113,118,123,128,133,138,143,148,153,158\\163,168,173,178,183,188,193,198,203,208,\\213,218,223,228,233,238,243,248,253,258[/tex]
Step-by-step explanation:
The nth term of an arithmetic sequence is obtained using the formula:
[tex]a_n=a+(n-1)d[/tex]
Given that: [tex]a_5=23$ and a_{20}=98.[/tex]
a_n=a+(n-1)d
[tex]a_5=23=a+(5-1)d \implies a+4d=23\\a_{20}=98=a+(20-1)d \implies a+19d=98\\$We solve simultaneously$:\\a+19d=98\\a+4d=23\\15d=75\\d=5\\Recall:a+4d=23\\a+4(15)=23\\a=23-60\\a=-37[/tex]
Therefore, the first 60 terms of the sequence are:
[tex]-37,-32,-27,-22,-17,-12,-7,-2,3,8,\\13,18,23,28,33,38,43,48,53,58\\63,68,73,78,83,88,93,98,103,108\\113,118,123,128,133,138,143,148,153,158\\163,168,173,178,183,188,193,198,203,208,\\213,218,223,228,233,238,243,248,253,258[/tex]
First 60 terms of the arithmetic sequence will be 3, 8, 13, 18, 23, 28, 33, 38, 43, 48, 53, 58, 63, 68, 73, 78, 83, 88, 93, 98, 103, 108, 113, 118, 123, 128, 133, 138, 143, 148, 153, 158, 163, 168, 173, 178, 183, 188, 193, 198, 203, 208, 213, 218, 223, 228, 233, 238, 243, 248, 253, 258, 263, 268, 273, 278, 283, 288, 293, 298.
Arithmetic sequence: If two consecutive terms of a sequence has a common
difference 'd', sequence will be an arithmetic sequence and the
explicit formula for the nth term of the sequence will be,
[tex]A_n=a+(n-1)d[/tex]
Here, [tex]a=[/tex] First term
[tex]n=[/tex] nth term
[tex]d=[/tex] common difference
Given in the question,
Two terms [tex]a_5=23, a_{20}=98[/tex]
If 5th term of the sequence is 23,
[tex]23=a+(5-1)d[/tex]
[tex]23=a+4d[/tex] -------(1)
If 20th term of the sequence is 98,
[tex]98=a+(20-1)d[/tex]
[tex]98=a+19d[/tex] ----------(2)
Subtract equation (1) from equation (2),
98 - 23 = a + 19d - (a + 4d)
75 = 15d
d = 5
Substitute the value of 'd' in equation (1),
23 = a + 4(5)
a = 23 - 20
a = 3
Therefore, first 60 terms of the arithmetic sequence will be 3, 8, 13, 18, 23, 28, 33, 38, 43, 48, 53, 58, 63, 68, 73, 78, 83, 88, 93, 98, 103, 108, 113, 118, 123, 128, 133, 138, 143, 148, 153, 158, 163, 168, 173, 178, 183, 188, 193, 198, 203, 208, 213, 218, 223, 228, 233, 238, 243, 248, 253, 258, 263, 268, 273, 278, 283, 288, 293, 298.
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Is 2(–2) + 6(2) equivalent to (–3)(–3) + (–1)(1)? Let negative numbers be represented with a "–" symbol and positive numbers be represented by "+" symbol. Use a pictorial model to justify your answer.
Answer:
Yes they are equivalent
Step-by-step explanation:
2(-2) = -4, plus 6(2) = 8 and
(-3)(-3) = 9, plus (-1)(1) = 8
Answer:
Yes they are equivalent
Step-by-step explanation:
the other fella right, check his reasons out, hope you guys learn from this question Stay safe everyone who sees this
30 POINTS! Please HELP! (5.06 MC) Determine the equation for the line of best fit to represent the data
y = 1/5x + 1 y = -5/1x + 1 y = -1/5x + 1 y = - 1/5x - 1
Answer:
y=-1/5+1
Step-by-step explanation:
Answer:
y = -1/5x + 1
Step-by-step explanation:
In these types of problems you want to guesstimate the slope and draw an imaginary solid line amongst the dots. The slope you'll end up with is -1/5 because the graph is decreasing.
and just to check, i typed this into my graphing calculator and can confirm this as the answer. :)
-1 2/3 divided by (-2 1/5)
Answer:
25/33
Step-by-step explanation:
-1 2/3 ÷ ( -2 1/5)
Change from mixed number to improper fraction
- ( 3*1 + 2) /3 ÷ - ( 5*2+1) /5
-5/3 ÷ -11/5
Copy dot flip
-5/3 * -5/11
25/33
Which statement is not one of the axioms of Euclidean geometry
Answer:
missing info my dude
Step-by-step explanation:
Answer: If three points lie on the same line, there is only one plane that can pass through them.
Step-by-step explanation:
QUICK 35 POINTS PLUS BRANLIEST. PLEASE ANSWER ALL THE QUESTIONS PROPERLY AND EXPLAIN HOW YOU GOT THEM. TRY TO ANSWER THEM BY TODAY.
THANKYOU
Hope it helps <3
(If it does, please give brainliest, only need one more for rank up :) )
Answer:
2. [tex]18\sqrt{5}[/tex]
3. [tex]52.303...[/tex]
4. [tex]11.608...[/tex]
Step-by-step explanation:
2. Using the Pythagorean Theorem, we can see that [tex]a^2+b^2=c^2[/tex]. Therefore, [tex]90^2+90^2=8100+8100=c^2[/tex]. We know that [tex]8100+8100[/tex] is [tex]16200[/tex]. The square root of [tex]16200[/tex] is [tex]90\sqrt{2}[/tex].
3. Same as before, we use the Pythagorean Theorem. This time, we're calculating [tex]b[/tex] instead of [tex]c[/tex]. This means we have to do [tex]60^2-29.4^2=b^2[/tex], which gives us [tex]3600-864.36[/tex], which equals [tex]2735.64[/tex]. We can put this in decimal form, which would give us [tex]52.303[/tex][tex]...[/tex]
4. This one, we do [tex]15^2-9.5^2[/tex], which would give us [tex]134.75[/tex]. Simplifying this would give us [tex]11.608...[/tex].
Hope this helped! Just remember the Pythagorean Theorem.
-3(2x +5) how to solve this problem
Answer:
Step-by-step explanation:
-3×2x)+(-3×5)
-6x+-15
BC is tangent to circle A. Determine the length of AC . ANSWERS: 1) 3 2) 4 3) 5 4) 6
A circle is a curve sketched out by a point moving in a plane. The length of AC in the given figure is 5 units. The correct option is
3.
What is a circle?A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the center.
In a circle, the angle between the radius and tangent is always equal to 90°. Therefore, we can write that in the given figure ΔABC, the triangle is a right angle triangle with ∠B as the right angle.
Now, for the triangle using the Pythagoras theorem we can write,
AC² = AB² + BC²
AC² = 3² + 4²
AC² = 9 + 16
AC = √25
AC = 5
Hence, the length of AC in the given figure is 5 units.
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Two retailers sell vanilla extract by the following price chart. When will their price be the same and how much?
Answer:
8 oz, $41
Step-by-step explanation:
For 4 oz, Chef Mate sells their's for $22 and Grocery Gourmet sells their's $25. Chef Mate sells his vanilla extract for $4.75/oz and Grocery Gourmet sells their's for $4/oz. At the 8th ounce, Chef Mate and Grocery Gourmet will charge the same amount, $41.
Chef Mate: $22 (price of 4 oz) + ($4.75 × 4) = $41
Gourmet Garden: $25 (price of 4 oz) + ($4 × 4) = $41
The hypotenuse of a right triangles is 7 inches longer than the base and 14 inches longer than the height. The perimeter is 84 inches. Find its area
Answer:
294 in^2 = A
Step-by-step explanation:
Let h represent the length of the hypotenuse, b the base and h the height. Because this is a right triangle, the Pythagorean Theorem applies.
(hypotenuse)^2 = (base)^2 + (height)^2
h^2 = (h - 7)^2 + (h - 14)^2
Perimeter of the triangle is 84 inches, equal to (h) + (h - 7) + (h - 14), which in turn simplifies to 84 = h + h - 7 + h - 14, or 84 = 3h - 21, or 3h = 105. Solving this for h, we get h = 35.
Then the base is (35 - 7), or 28, and the height is (35 - 14), or 21.
The area of the triangle is found using the formula
A = (1/2)(base)(height) = (1/2)(28)(21) = 294 in^2 = A
Could someone help with this?
Answer:
30t
Step-by-step explanation:
2(15)t
30t
Answer: 30t
Step-by-step explanation:
The group earned 15t, or 15$ an hour for t hours. Then it was doubled(15t * 2=30t)
Find the area of the square with a side length of 8 ft.
Answer:
The area of square is 64ft².
Step-by-step explanation:
Given that all sides of a square are equal. So you have to apply the formula for area of square :
[tex]area = length \times width[/tex]
[tex]let \: length = 8 \\ let \: width = 8[/tex]
[tex]area = 8 \times 8[/tex]
[tex]area = 64 \: {ft}^{2} [/tex]
Answer:
here,
side length (l)= 8 ft.
now, area = l^2
a= 8^2
=64ft^2 is the answer..
hope i helped uh..
A coordinate plane with 2 lines drawn. The first line is labeled f(x) and passes through the points (0, negative 2) and (1, 1). The second line is labeled g(x) and passes through the points (negative 4, 0) and (0, 2). The lines intersect at about (2.5, 3.2) How does the slope of g(x) compare to the slope of f(x)? The slope of g(x) is the opposite of the slope of f(x). The slope of g(x) is less than the slope of f(x). The slope of g(x) is greater than the slope of f(x). The slope of g(x) is equal to the slope of f(x). ALSO ITS NOT A NUMBER ANSWER
Answer:
Option B.
Step-by-step explanation:
If a line passing through two points, then the slope of line is
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
It is given that f(x) passing through the points (0,-2) and (1,1). So, slope of f(x) is
[tex]m_1=\dfrac{1-(-2)}{1-0}=1+2=3[/tex]
It is given that g(x) passing through the points (-4,0) and (0,2). So, slope of g(x) is
[tex]m_2=\dfrac{2-0}{0-(-4)}=\dfrac{2}{4}=\dfrac{1}{2}[/tex]
Since, [tex]\dfrac{1}{2}<3[/tex], therefore [tex]m_2<m_1[/tex].
The slope of g(x) is less than the slope of f(x).
Therefore, the correct option is B.
PLSSS HELPPP Simplify: (2 - i) (4 +2i)
Step-by-step explanation:
( 2 - 1)(4+2)
= (1)(6)
= 6
At Jane's school there are 22 more girls than boys, b.
a) Write and expression for the number of girls in terms of the number of boys, b.
b) Using part a), write an equation involving b and solve it to find the number of boys at the school.
c) How many girls are there at the school?
ASAP no need to explain just the answer
Answer:
A) girls=boys +22 .B)Boys=girls-22
Step-by-step explanation:
Whoever answers this fully will get brainliest. Part A: Using the graph above, create a system of inequalities that only contains points C and F in the overlapping shaded regions. Explain how the lines will be graphed and shaded on the coordinate grid above. Part B: Explain how to verify that the points C and F are solutions to the system of inequalities created in Part A. Part C: Chickens can only be raised in the area defined by y > −4x + 3. Explain how you can identify farms in which chickens can be raised.
Answer:
Step-by-step explanation:
a. the inequality is x+y >= 2 (red line) that keeps onlythe two farms in the region.
b. substituting the coordinates of the farms in the inequality and see if they are satisfied:
C(2,2) 2+2 = 4 > 2 checks
F(3,4) 3+4 = 7 > 2 checks.
The other farms will not , for example,
D(1,-2) 1-2 = -1 < 2 does not check.
...
c. y > -4x + 3 is shown in blue.
Farms that satisfy given inequality can raise chickens, i.e. to the right of the blue line, or farms C,E and F.
If necessary, we can again check by the coordinates as in part b.
C(2,2) -4(2) + 2 = -8+2 = -6 y=2 > -6, so checks.
...