Answer:
10 questions that are 4-point30 questions that are 2-pointStep-by-step explanation:
Numerical reasoning
If all questions were 2-point, the total score would be 80. It is 20 more than that. Each 4-point question that replaces a 2-point question will add 2 points to the score, so there must be 20/2 = 10 of them.
There are 10 4-point questions and 30 2-point questions.
_____
With an equation
Let x represent the number of 4-point questions. Then 40-x is the number of 2-point questions. The total number of points is ...
... 2(40-x) +4x = 100
... 2x +80 = 100 . . . . simplify
... 2x = 20 . . . . . . . . .subtract 80
... x = 10 . . . . . . . . . . divide by 2.
There are 10 4-point questions and 40-10=30 2-point questions.
Which description best defines MN¯¯¯¯¯¯¯ ?
the set of point M, point N, and all the points between point M and point N
the set of all points that are collinear with point M and point N
the set containing point M and point N
the set of all points that are the same distance from point M as point N
the set of point M, point N, and all the points between point M and point N
Step-by-step explanation:We assume you're interested in a description of line segment MN, the portion of the line containing M and N that has endpoints M and N. That description is found in "Answer:" above.
Other choices:
... all collinear points: describes line MN, not segment MN
... point M and point N: describes two points, not a line segment
... points the same distance from each: describes the line that is the perpendicular bisector of segment MN
Answer:
the set of point M, point N, and all the points between point M and point N
Step-by-step explanation:
What is 35.6 × 10−4 in standard form?
[tex]35.6\times10^{-4}=35.6\times0.0001=0.00356[/tex]
[tex]a^{-n}=\dfrac{1}{a^n}\\\\10^{-4}=\dfrac{1}{10^4}=\dfrac{1}{10000}=0.0001[/tex]
Final answer:
0.00356.
Explanation:
The question requires us to express the product of a decimal number and a power of ten in standard form. To find 35.6 times 10^-4 in standard form, we can use the rule of multiplying a decimal number by a power of ten. Multiplying by 10^-4 means we move the decimal point four places to the left.
So, 35.6 × 10^-4 becomes 0.00356. This is the number 35.6 shifted four decimal places to the left, as the exponent on the ten is negative, indicating division by ten for each unit of the exponent.
What is the factorization of the polynomial below?
4x2 - 25
A. (2x + 5)(2x - 5)
B. (4x - 5)(x - 5)
C. (2x - 5)(2x - 5)
D. (4x + 5)(x - 5)
Answer:
A. (2x + 5)(2x - 5)
Step-by-step explanation:
Factor out the polynomial given.
(4x² - 25) = (2x - 5)(2x + 5)
Check: Use the FOIL method.
(2x)(2x) = 4x²
(2x)(5) = 10x
(2x)(-5) = -10x
(-5)(5) = -25
Simplify. Combine like terms: 4x² + 10x - 10x - 25 = 4x² - 25
A. (2x + 5)(2x - 5) is your answer
~
So for this, we will be applying the difference of squares rule, which is [tex]x^2-y^2=(x+y)(x-y)[/tex] . In this case:
[tex]\sqrt{4x^2}=2x\\\sqrt{25}=5\\\\4x^2-25=(2x+5)(2x-5)[/tex]
Answer:In short, your answer is A. (2x + 5)(2x - 5).
i will give brainliest thanks
Answer: Correct answer is 1st option , 12.3
Step-by-step explanation:
We can find the value of x by calculating the tangent of the angle 39.
We know, that tangent of an angle in a triangle = Perpendicular/Base, corresponding to that angle.
So, tan 39 = 10/x
Again, we know that tan 39 = .81
So, .81 = 10/ x
or, x = 10/.81
or, x = 12.34
So value of x to the nearest tenth = 12.3
Hope thsi helps
Thank you
Joe walked 2/6 of a mile on Monday. On Tuesday he walked another 2/9 of a mile. How far did joe walk on Monday and Tuesday?
Answer: 5/9 of a mile
Step-by-step explanation:
2/6 + 2/9
3/9 + 2/9
5/9
Two consecutive integers have a sum of 61 . Find the integers.
Answer:
The integers are, 30 and 31
Step-by-step explanation:
Given the statement: Two consecutive integers have a sum of 61 .
Let x and x+ 1 are the two consecutive integers.
then;
as per the given condition we have;
[tex]x +(x+1) = 61[/tex]
Combine like terms;
[tex]2x+1 = 61[/tex]
Subtract 1 from both sides ;
[tex]2x + 1-1 = 61 -1[/tex]
Simplify:
2x = 60
Divide both sides by 2 we get;
x = 30
and
value of x+1 = 30+1 = 31
Therefore, the integers are, 30 and 31.
Help! will give points for brainliest
This table shows the input and output values for an exponential function f(x) .
What is the ratio of outputs for any two inputs that are three values apart?
Enter your answer, as a simplified fraction, in the boxes.
table:
x −3 −2 −1 0 1 2 3
f(x) 827 89 83 8 24 72 216
Answer:
27
Step-by-step explanation:
Choose two outputs that are 3 values apart and find their ratio:
... f(3)/f(0) = 216/8 = 27
I paid $8.50 each for movie tickets and i spend a total of $144.50. If n, represents how many tickets i bought, write and equation that would allow me to find the number of tickets
Answer:
the Answer would be 17. Hope it helped ; )
Step-by-step explanation:
Write the equation of the line that passes through (2,3) and (4, 1) in point-slope form. Use (2,3) for (x1, y1).
Answer:
y-2 = -(x-2)
Step-by-step explanation:
To find the slope
m = (y2-y1)/(x2-x1) where (x1,y1) and (x2,y2) are two points on the line
= (1-3)/(4-2)
=-2/2
=-1
The point slope form is
y-y1 = m(x-x1) wher m is the slope and (x1,y1) is a point on the line
y-3 = -1(x-2)
y-2 = -(x-2)
What is the area of ACDE?
A.
24 square centimeters
B.
30 square centimeters
C.
60 square centimeters
Reset Next
Answer:
Option B is correct .i.e., 30 square centimeters
Step-by-step explanation:
We have to find area of ACDE.
From given figure ACDE is made up of two triangles ΔBCD & ΔABE
So, Area of ACDE = Area of ΔBCD + Area of ΔABE
Area of traingle = [tex]\frac{1}{2}\times Base\times Height[/tex]
⇒ Area of ACDE = [tex]\frac{1}{2}\times CD\times BF+\frac{1}{2}\times AB\times AE[/tex]
= [tex]\frac{1}{2}\times6\times2+\frac{1}{2}\times4\times12[/tex]
= [tex]6+2\times12[/tex]
= [tex]30\:cm^2[/tex]
Therefore, Option B is correct .i.e., 30 square centimeters
For the given central angle, determine the distance traveled along the unit circle from the point (1, 0).
180 degrees to units
How do i figure this out ?
Answer:
The length of a 180° arc of a unit circle is π ≈ 3.14 units.
Step-by-step explanation:
Use your knowledge of the circumference of a circle (the length full around) and the fact that there are 360° in the central angle of a full circle. The distance around is proportional to the angle, so an arc of measure 180° will have a length equal to
... (180°/360°) × circumference = (1/2)×circumference
For a unit circle, the circumference is 2π (= π×diameter = 2π×radius). Half that length is π units.
Answer:
A central angle of 180 degrees corresponds to half of the unit circle, and the circumference of the unit circle is 2π units. So, the distance traveled along the unit circle from the point (1, 0) is half of the circumference, which is 1/2 * 2π = π units. Thus, the answer is 3.14 units (approximately).
3 1/4 yards is how many inches
Answer: it is 117 inches.
Step-by-step explanation:
1 yard= 36 inches
36 times 3= 108
1/4 of 36= 9
36 divided by 4 is 9 so 1/4 of 36 is 9.
108 + 9= 117
The figures shown are similar. What is the scale factor? A. 1/9 B. 3/7 C. 4/7 D. 6/7
Answer:
C. 4/7
Step-by-step explanation:
The scale factor is the ratio of corresponding side lengths (the only ones marked with a length).
... 12/21 = 4·3/(7·3) = 4/7
Month Money
1 $500
2 $525
3 $551.25
4 $578.81
The table shows the relationship between the amount of money in a bank account at the end of each month. Determine whether it's a growth or decay and whether it grows or decays by a constant percent. A) decays by percent that varies B) decays by a constant percent C) grows by percent that varies D) grows by a constant percent
Answer:
"Grows by a constant percent."
Step-by-step explanation:
5% of 500 is 25 = 525
5% of 525 is 26.25 = 551.25
5% of 551.25 is 27.56 = 578.81
Please leave a thanks. And can I have Brainliest?
If a toy rocket is launched vertically upward from ground level with an initial velocity of 128 ft per second, then its height h after t seconds is given by the equation h(t) = -16t ^2 + 128t. What is the height after 60 seconds?
Answer:
undefined
Step-by-step explanation:
t=60 is outside the domain of the function, which is t ∈ [0, 8].
_____
If you take the function and the time at face value, ...
... h(60) = -49920 . . . feet, more than 9.4 miles below ground level*
___
*The deepest hole ever drilled into the Earth is 40,230 feet deep, so this is almost 2 miles deeper.
Answer:
C) 8 seconds
Step-by-step explanation:
Evaluate 3x-2 if x=5.
6
17
13
15
Answer:
[tex]13[/tex]
Step-by-step explanation:
The given expression is;
[tex]3x-2[/tex]
We want to evaluate this expression when [tex]x=5[/tex].
This means that, we substitute [tex]5[/tex] wherever we see [tex]x[/tex] in [tex]3x-2[/tex]
The expression will now be
[tex]=3(5)-2[/tex]
This will simplify to be
[tex]=15-2[/tex]
The final result is
[tex]=13[/tex]
The correct answer C.
Answer:
13
Step-by-step explanation:
To solve this problem, we need to use the substitution method - because we are given a value for x and asked to evaluate the expression.
Evaluate 3x - 2; x = 5
1. Substitute 5 in for x in the expression
3(5) - 2
2. Multiply
15 - 2
3. Subtract
13
What would be the answers
Answer:
1/500000000000 is the answer
Just simplify and combine like terms to find your answer. You can add the tens to the -5 power, and the 4 and 2 on the top, then divide by the expression on the bottom.
Therefore, the only expression equivalent to this one is B.
Carrie has 2 meters of ribbon. She cuts off pieces of ribbon that are 5/10 meter, 1/10 meter, and 7/10 meter. How long is the remaining piece of ribbon?
Answer:
[tex]\frac{7}{10}[/tex]
Step-by-step explanation:
Carrie has 2 meters of ribbon. She cuts off pieces of ribbon that are 5/10 meter, 1/10 meter, and 7/10 meter
Lets add all the cut of pieces and subtract it from 2 meters
[tex]\frac{5}{10} +\frac{1}{10}+\frac{7}{10}=\frac{13}{10}[/tex]
Now we subtract 13/10 from 2 meters
[tex]2 - \frac{13}{10}[/tex]
To subtract , make the denominator same
[tex]\frac{2*10}{1*10} - \frac{13}{10}=\frac{20}{10} - \frac{13}{10}=\frac{7}{10}[/tex]
7/10 meter is the remaining piece of ribbon
After adding the lengths of the ribbon pieces Carrie cut (1.3 meters), the remaining ribbon length is calculated by subtracting this from the original length, leaving Carrie with 0.7 meters of ribbon.
Explanation:Carrie starts with 2 meters of ribbon and cuts off pieces measuring 5/10 meter, 1/10 meter, and 7/10 meter. To find the length of the remaining ribbon, we need to add the lengths of the pieces she has cut and then subtract this total from the original length of the ribbon.
First, we add the lengths of the cut pieces: 5/10 meter + 1/10 meter + 7/10 meter = 13/10 meters or 1.3 meters.Next, we subtract this total from the original 2 meters: 2 meters - 1.3 meters = 0.7 meters.Therefore, the remaining piece of ribbon is 0.7 meters long.
a b c or d please hurry thanks!
Answer:
C) a = 10√3, b = 5√3, c = 15 , d = 5
Step-by-step explanation:
Here we use the ratio of 30, 60, 90 degree triangle.
The ratio of sides, 1:√3:2
2x = 10
x = 5
d = 5
b = 5√3
c = 5√3√3
c = 5*3 = 15
c = 15
a = 2(5√3)
a = 10√3
Therefore, a = 10√3, b = 5√3, c = 15 and d = 5
Thank you.
Answer:
The correct answer is C.
Step-by-step explanation:
From the [tex]60\degree[/tex] right angle triangle
[tex]\sin(60\degree)=\frac{b}{10}[/tex]
[tex]10\times \sin(60\degree)=b[/tex]
[tex]10\times \frac{\sqrt{3}}{2}=b[/tex]
[tex]5\sqrt{3}=b[/tex]
From the same [tex]60\degree[/tex] right angle triangle,
[tex]\cos(60\degree)=\frac{d}{10}[/tex]
[tex]10\times \cos(60\degree)=d[/tex]
[tex]10\times \frac{1}{2}=d[/tex]
[tex]5=d[/tex]
From the [tex]30\degree[/tex] right angle triangle
[tex]\sin(30\degree)=\frac{b}{a}[/tex]
[tex]\frac{1}{2}=\frac{5\sqrt{3}}{a}[/tex]
[tex]a=2\times 5\sqrt{3}[/tex]
[tex]a=10\sqrt{3}[/tex]
From the same [tex]30\degree[/tex] right angle triangle,
[tex]\cos(30\degree)=\frac{c}{a}[/tex]
[tex]\frac{\sqrt{3}}{2}=\frac{c}{10\sqrt{3}}[/tex]
[tex]10\sqrt{3} \times \frac{\sqrt{3}}{2}=c[/tex]
[tex]5 \times 3=c[/tex]
[tex]c=15[/tex]
The correct answer is C.
Solve for r. -13= r/9 +8
Answer:
r = -189
Step-by-step explanation:
-13 - 8 = r/9
- 21 = r/9
r = 9 * -21
r = -189
Answer:
r = -189
Step-by-step explanation:
-13= r/9 +8
To solve this equation, we will start by subtracting 8 from each side
-13-8 = r/9 +8-8
-21 = r/9
Multiply each side by 9 to isolate r
-21*9 = r
-189 =r
Solve. 4x+5y=40
3x=15
POSSIBLE ANSWERS:
1. x=5, y=−12
2. x=5, y=−4
3. x=5, y=4
4. x=5, y=12
Answer:4(5) + 5(4)=40 ...3(5)=15
So 20+20=40 ...15=15
I Say Answer Is 3. X=5, Y=4
Step-by-step explanation:
Use a double number line to solve. Gabe collects model train and planes. He has 2 trains for every 5 planes. If Gabe has 25 planes, how many trains does he have? [Type your answer as a number.]
Answer:
The answer is 10
Answer:
The answer is 10
Step-by-step explanation:
Hayk was walking around the cross-shaped pool with 10m-long sides , while Karlen was swimming in it. During the time Hayk got from point A to point B, Karlen swam diagonally from point B to A and back.
By what percent did the distance covered by Karlen exceed that of Hayk ? (round your answer to the nearest tenth)
Answer:
5,41%
Step-by-step explanation:
Remark
It's hard to interpret what % increase means. I'm going to work first with the actual increase and then I'll give the % increase. The answer I give will likely be in your choices, but it could still be incorrect.
Givens
Walking distance from A to B = 10 units down + 10 units east + 10 units down + 10 units east + 10 units down + 10 units east = 60 units.
Swimming distance = 2*sqrt(10^2 + 30^2) = 63.25 units.
Solution
The difference = 63.25 - 60 = 3.25
The % increase = (3.25/60)*100 = 5.41%
Find the length of AC. Round answer to the nearest tenth.
16.0
Step-by-step explanation:The mnemonic SOH CAH TOA reminds you of the relationship ...
... Tan = Opposite/Adjacent
... tan(32°) = 10/AC
Multiply by AC and divide by tan(32°) to get ...
... AC = 10/tan(32°) ≈ 16.0033 ≈ 16.0
Just number 28 but can you please help
The expressions are on the picture
A) Is the expression in answer 'A' equivalent to -2.5 (1 - 2n) - 1.5n? *
Yes
No
B) Is the expression in answer 'B' equivalent to -2.5 (1 - 2n) - 1.5n? *
Yes
No
C) Is the expression in answer 'C' equivalent to -2.5 (1 - 2n) - 1.5n? *
Yes
No
D) Is the expression in answer 'D' equivalent to -2.5 (1 - 2n) - 1.5n? *
Yes
No
E) Is the expression in answer 'E' equivalent to -2.5 (1 - 2n) - 1.5n? *
Yes
No
the system of equations n=m and n=4m is the point (0,0). which of the following statements is true.
A. (0,0) is a solution to n=m and to n=4m.
B.No point no the line n=m is also on the line n=4m.
C.every solution to n=m is also a solution to n=4m.
D.the graph of the solution is parallel lines.
A. (0,0) is a solution to n=m and to n=4m.
Step-by-step explanation:The equations can be solved by any of the usual means. Using substitution, we have ...
... m = n = 4m
... m(4 -1) = 0 . . . . subtract the left side
... m = 0 . . . . . . . . divide by 3
... n = m = 0
The solution is (m, n) = (0, 0).
Answer:
the answer is A, my answer got deleted
Elissa wants to set up a rectangular dog run in her backyard. She has 32 feet of fencing to work with and wants
to use it all. If the dog run is to be x feet long, express the area of the dog run as a function of x.
Perhaps jumping up the points will get answers.
A(x) = x(16 -x)
Step-by-step explanation:Area is the product of length and width. If the length is x, then the width will be half of the total perimeter less the two sides of length x, (32-2x)/2 = 16-x.
So, the area is ...
... A = length · width
... A(x) = x(16 -x)
_____
If you like, you can expand this to ...
... A(x) = -x² +16x
The area of a rectangular figure is calculated by multiplying the length and the width of the figure. So, the area as a function of x is: [tex]A(x) = x(16 - x)[/tex]
Given that:
[tex]P = 32[/tex] --- the perimeter of the fence
Represent
[tex]x \to[/tex] length
[tex]y \to[/tex] width
The perimeter of a rectangular fence is calculated as:
[tex]Perimeter = 2 \times (Length + Width)[/tex]
So, we have:
[tex]P= 2 \times (x+ y)[/tex]
[tex]32= 2 \times (x+ y)[/tex]
Divide both sides by 2
[tex]16= x+ y[/tex]
Make y the subject
[tex]y = 16 - x[/tex]
The area (A) of the fence is:
[tex]Area = Length \times Width[/tex]
So, we have:
[tex]A = x \times y[/tex]
Substitute [tex]y = 16 - x[/tex]
[tex]A = x \times (16 - x)[/tex]
[tex]A = x(16 - x)[/tex]
So, the area as a function of x is:
[tex]A(x) = x(16 - x)[/tex]
Read more about area and perimeters at:
https://brainly.com/question/1633440
find the value of x. please help
36.6
Step-by-step explanation:The rule for secants is pretty simple. The product of the distance from the external point to the near intersection with the circle and the distance to the far intersection with the circle is a constant.
This means ...
... BC × AC = DC × (DC+x)
... 8 × 26 = 5 × (x +5) . . . . . AC=AB+BC = 18+8 = 26
... 208 = 5x +25 . . . . . . . . . simplify
... 183 = 5x . . . . . . . . . . . . . subtract 25
... 36.6 = x . . . . . . . . . . . . . divide by 5
kAITLIN EANRS $6.50 FOR EACH HOUR SHE WORKS. ON FRIDAY SHE WORKED FOR 3 HOURS. SHE ALSO WORKED ON SATURDAY. IF SHE EARNED A TOTAL OF $52.00 FOR TWO DAYS OF WORK, HOW MANY HOURS DID SHE WORK ON SATURDAY
Answer:
5 hours
Explanation:
$
6.50
(
3
)
+
$
6.50
x
=
$
52.00
$
19.50
+
$
6.50
x
=
$
52.00
$
6.50
x
=
$
32.50
x
=
5
Glad i could help! Sorry if i came out kinda weird lol
Answer:
Answer:
5 hours
Explanation:
$
6.50
(
3
)
+
$
6.50
x
=
$
52.00
$
19.50
+
$
6.50
x
=
$
52.00
$
6.50
x
=
$
32.50
x
=
5
Glad i could help! Sorry if i came out kinda weird lol