Answer:
The answer is 61.
Step-by-step explanation:
You have to substitute x = -8 into the function :
[tex]f(x) = {x}^{2} - 3[/tex]
[tex]let \: x = - 8[/tex]
[tex]f( - 8) = {( - 8)}^{2} - 3[/tex]
[tex]f( - 8) = 64 - 3[/tex]
[tex]f( - 8) = 61[/tex]
Can someone help me with this?
Answer:
E= 52 degrees and F=21 degrees
(sorry)
Step-by-step explanation:
M is less than angleAOC = 108 degrees m is less than angle AOB = 3x + 4 degrees m is less than angle BOC = 8x - 28 degrees Find m is less than angle AOB
Answer: angleAOB = 40°
Step-by-step explanation: Drawing these angles, we see that angle AOC is the sum of angle AOB and angle BOC, so:
angleAOC = angleAOB + angleBOC
108 = 3x + 4 + 8x - 28
108 + 24 = 11x
11x = 132
x = 12
Knowing x, to find angleAOB, just substitute and calculate:
angleAOB = 3x+4
angleAOB = 3.12 + 4
angleAOB = 40°
The angle AOB is 40°.
Work out (4×10to the power of6) ×(2×10to the power of7) Give your answer in standard form.
Answer:
80,000,000,000,000 or 80 billion
Step-by-step explanation:
10 to the power of 6 is 1000000
1000000x 4 is 4000000
4000000 X 2 x 10 to the power of 7
4000000x (2 x10000000)
4000000 x 20000000
Is 8e+13
the number is 80,000,000,000,000
What is the magnitude of -2a - 3b when a=3i+9j and b=4i-6j?
Answer: Dot product of the 2 vectors = 0. Therefore cos x = 0 where j is the angle between the 2 vectors. S0 j = 90°... I believe.
1) Evaluate [(1/3)-3 X (1/2)-3 ] ÷ ( ¼)-3
2) If (7-3)2 x 7x+4 = 77, find the value of x.
Answer :
(1) [tex][(\frac{1}{3})^{-3}\times (\frac{1}{2})^{-3}]\div (\frac{1}{4})^{-3})=3.375[/tex]
(2) [tex]x=\frac{45}{56}[/tex]
Step-by-step explanation :
Part 1:
The given expression is:
[tex][(\frac{1}{3})^{-3}\times (\frac{1}{2})^{-3}]\div (\frac{1}{4})^{-3})[/tex]
[tex]=[(\frac{1}{(\frac{1}{3})^3})\times (\frac{1}{(\frac{1}{2})^3})]\div (\frac{1}{(\frac{1}{4})^3})[/tex]
[tex]=[27\times 8]\div (64)[/tex]
[tex]=[216]\div (64)[/tex]
[tex]=\frac{27}{8}[/tex]
[tex]=3.375[/tex]
Part 2:
The given expression is:
[tex](7-3)2\times (7x+4)=77[/tex]
[tex](4)2\times (7x+4)=77[/tex]
[tex]8\times (7x+4)=77[/tex]
[tex]56x+32=77[/tex]
[tex]56x=77-32[/tex]
[tex]56x=45[/tex]
[tex]x=\frac{45}{56}[/tex]
Thus, the value of x is [tex]\frac{45}{56}[/tex]
Is it possible to ride a bike 200 miles in 13 hours
Answer:
no
Step-by-step explanation:
because even going back to back it would take you about one or two days
On a road trip you see a sign "350 km to Indianapolis". About how many hours will it take you to drive to Indianapolis if you are traveling at 72 mi/h (1 mile\approx≈1.61 km). Round your answer to the nearest hundredth.
Answer:
Time t = 3.02 hours
Step-by-step explanation:
Given;
Distance d = 350 km
Speed v = 72 mi/h
Since 1 mile ≈ 1.61 km
Converting the speed to km/h
Speed v = 72 mi/h × 1.61km /mi
Speed v = 115.92 km/h
Speed = distance/time
Time t = distance/speed = d/v
Substituting the values;
Time t = 350 km/115.92 km/h
Time t = 3.019 hours
Time t = 3.02 hours (to the nearest hundredth.)
Which of the following values are in the range of function graph below? check all that apply
Answer:
B: -2
C: 0
D: -1
Step-by-step explanation:
We are looking at only the range in this problem. That means we are looking for y-values that are associated with this graph. Since the graph only includes negative values, you can rule out A, E, and F because they are positive. The answer choices you have left are the correct choices.
Answer:
-1
-2
-5
0
Step-by-step explanation:
The base of a rectangular prism has an area of 121212 square centimeters. The height of the rectangular prism is 333 centimeters. What is the volume, in cubic centimeters, of this rectangular prism?
Answer:
36 cm³
Step-by-step explanation:
Volume of rectangular prism =( L * B * H) or (area * height)
= 12 cm² * 3 cm
= 36 cm³
Answer:
What is the area of the base of the rectangular prism?
18 square centimeters
What is the height of the rectangular prism?
6 centimeters
What is the volume of the rectangular prism?
108 cubic centimeters
Step-by-step explanation:
pls answer this thanks
Answer:
1) 1/10
2)2/10
3)8/10
Step-by-step explanation:
the numbers 1 and 10 both have 1 in them
Danielle works at a toy store that sells remote control cars. She wants to fit 60 car boxes into a large crate. The car boxes have dimensions of 50 cm × 30 cm × 20 cm. The crate has dimensions of 140 cm × 120 cm × 110 cm. Predict whether all 60 boxes fit in the crate. Show your calculations to support your answer. Explain your thinking.
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plesase help me to solve full process . the marked price of a table fan is Rs 1400 and 10% discount is allowed on it. Find it C.P. with 15% VAT.
[tex]answer = Rs 1449\\ solution \\ marked \: price = rs \: 1400 \\ discount \: percent = 10 \: percent \\ discount \: amount = \: discount \: percent \: of \: mp \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 10 \: percent \: of \: 1400 \\ \ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 140 \\ \\ sp = mp - \: discount \\ \: \: \: \: \: \: \: = 1400 - 140 \\ \: \: \: \: \: = 1260 \\ vat \: amount = \: vat \: percent \: of \: sp \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \: 15 \: percent \: of \: 1260 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 189 \\ sp \: with \: vat = \: sp + \: vat \: amount \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 1260 + 189 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = Rs1449 \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]
Mark the statements that are true.
Answer:
Hi there!
The correct choices are: A, B, C
Step-by-step explanation:
π in radians equals to 180°
A is correct because 180/3 = 60
C is correct because 180/4 = 45
The measure angles π and π/4 is true
What is Radian and degree?Radian, When we rotate the radius completely around the circle, it completes one rotation. The angle subtended at the center of the circle by the radius after one complete rotation is 2π radians. The angle in radians subtended by the radius at the center of the circle is the ratio of the length of the arc to the length of the radius. When the length of the arc becomes equal to the length of the radius, the angle subtended at the center becomes 1 radian. We denote the unit radian as rad. Radians is the SI unit of measuring angles.
Degree Angles are measured in degrees. One revolution is divided into 360 equal parts and each part is called a degree. The angle subtended at the center of the circle after one complete rotation of the radius is 360°. The symbol for degrees is denoted by '°'. Degrees is not an SI unit to measure angles but it is an accepted unit to measure. Hence, while solving problems, it is preferred to convert the unit of angle from radians to degrees to understand it better. The instrument used to measure an angle in degrees is a protractor. Comparing the measures of the angle for a complete rotation, we observe,360 Degrees = 2π Radians180 Degrees = π Radians
According to the question
To convert radians to degrees, multiply by 180/p,
like this: degrees = radians x (180 / π )
To convert degrees to radians,
multiply by p/180, like this
radians = degrees x ( π/180)
(A)
This will use the formula for radians to degrees. π/3 x (180/π) The pi's cancel, leaving you with: 180/3 = 60 degrees False
(B)
An angle that measures π/6 radians also measures 30°π/6 x (180/π) = 30 degrees. True
(C)
An angle that measures π/3 radians also measures 60°π/3 x (180/π) = 60 degrees. True
(D) An angle that measures 180 degrees also measures π/2π/2 x (180/π) = 90 degrees. False
hence, measure angles π and π/4 is true, therefore option B and C are true
To learn more about radian and degree from here https://brainly.in/question/3390676
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The equation of the graphed line in slope-point form using (2,-1) is ___, and it’s equation in slope-intercept form is ___.
Answer:
[see below]
For "slope-point" form:Slope point (also called "Point-slope") form is: [tex]y-y_1=m(x-x_1)[/tex]
[tex](x_1,y_1)\text{ -Coordinate} \\m\text{ -Slope}[/tex]
Finding the Slope:We need to find the slope of the line given.
Slope is: [tex]m=\frac{y2_-y1}{x_2-x_1}[/tex]
We are given the points (2,-1) and (-2,-2).
[tex]m=\frac{-2-(-1)}{-2-2}=\frac{-1}{-4}=\boxed{\frac{1}{4}}[/tex]
The slope of the line is 1/4.
Creating the Point-Slope Equation:Replace 'm' with 1/4 and '(x1, y1)' with (2, -1).
[tex]y-y_1=m(x-x_1)\rightarrow\boxed{y+1=\frac{1}{4}(x-2)}[/tex]
[tex]\text{The equation of the graphed line in slope-point form using (2,-1) is:}\\y+1=\frac{1}{4}(x-2)[/tex]
Creating the Slope Intercept Form Equation:Slope intercept form is: [tex]y=mx+b[/tex]
We can convert our point slope equation into slope intercept form.
[tex]y+1=1/4(x-2)\\\\y+1=1/4x-0.5 \leftarrow \text{Distribute}\\y+1-1=1/4x-0.5-1 \leftarrow \text{Subtraction Property of Equality}\\\boxed{y=\frac{1}{4}x-1.5}[/tex]
The equation of the line in slope intercept form is: [tex]y=\frac{1}{4}x-1.5[/tex] OR [tex]y=\frac{1}{4}x-\frac{3}{2}[/tex].
2 people can plough through a field in 6 hours How long will it take for 1 person to plough through a field How long will it take for 3 people to plough through a field
Answer:
3 people 4 hours and and one person 12 hours
Step-by-step explanation:
your welcome
Evaluate 9.1s + 8.5t when s= 6 and t=7.
9.10 +8.50 =
+59.5
11
9.1 +8.50
=
+ 59.5
Answer:
The answer is 114.1.
Step-by-step explanation:
You have to substitute the s and t value into the expression :
[tex]9.1s + 8.5t[/tex]
[tex]let \: s = 6[/tex]
[tex]let \: t = 7[/tex]
[tex]9.1(6) + 8.5(7)[/tex]
[tex] = 54.6 + 59.5[/tex]
[tex] = 114.1[/tex]
I WILL GIVE BRANILEST! PLEASE HELPPPPPP a round flower garden with a radius of 23 metres is surrounded by a pathway of 2 metres wide. Calculate the circumference and area of the outer pathway.
Answer:
50pi circumference
96pi area
Step-by-step explanation:
The outer pathway is a circle of radius 25, so the circumference is
2*pi*25 or 50pi
The are is pi*r^2 or 625 pi - pi*23^2 = 96pi
Question 20 Linda purchased a prepaid phone card for $ 20 . Long distance calls cost 21 cents a minute using this card. Linda used her card only once to make a long distance call. If the remaining credit on her card is $ 10.76 , how many minutes did her call last?
Answer: 44 minutes
Step-by-step explanation:
Calls = 21 cents per minute
Remaining credit after long distance call= $10.76
Total credit used =$20- $10.76
= $9.24
Minutes her call lasted = $ 9.24
$0.21
= 44 minutes.
Help help help fast plz plz this is graded
Answer:
120
Step-by-step explanation:
First, you notice that both the angles add up to 180 degrees because it is a straight line. Therefore, 2x+x+90=180. Now you have an equation to solve! Subtract 90 from both sides and combine like terms. 3x=90. Therefore, x=30. Now you plug x back in to find out m<DBC. DBC=x+90 which is 30+90= 120.
What is the slope of the line in the graph?
Step-by-step explanation:
slope = Change of y/ change of x
= 4/4
= 1
slope + or > 0 y increases when x increases
Work out m and c for the line
y= x + 3
m=
c=
Answer:
1
3
Step-by-step explanation:
The equation of a graph is normally written in form Mx+c.
So, here there is x+3.
Thus, m = 1
C = 3
Hope this helps
y+7=-2(x+3)
intercept form ):
Answer:
y = -2x - 13
Step-by-step explanation:
Answer:
y = - 2x - 13
Step-by-step explanation:
First, distribute out the two on the right side of the equation.
y + 7 = - 2x - 6
Next, subtract 7 from both sides to isolate the y variable on the left side.
y = - 2x - 13
That is your answer in slop-intercept form.
Dexter read 11 science fiction books and 5 history books. Lena read 9 science fiction books and 4 history books. Compare the students’ ratios of science fiction books to history books.
1. Determine the ratios’ form:
science fiction books to history books
2. Write the ratios as fractions:
Dexter: 11
5
; Lena: 9
4
3. Rewrite with a common denominator.
4. Compare.
5. Answer the question.
Determine which shows the correct comparison of the ratios for this problem.
StartFraction 5 Over 20 EndFraction greater-than StartFraction 4 Over 20 EndFraction
StartFraction 26 Over 20 EndFraction greater-than StartFraction 25 Over 20 EndFraction
StartFraction 11 Over 20 EndFraction greater-than StartFraction 9 Over 20 EndFraction
StartFraction 44 Over 20 EndFraction less-than StartFraction 45 Over 20 EndFraction
Answer:
the answer is d 44/20 44/20
the sum of 3x^2 + x - 7 and x^2 + 10 can expressed as
Answer:
4x^2 + x + 3
Step-by-step explanation:
Here, we want to find the sum of the two polynomials
That would be ;
3x^2 + x-7 and x^2 + 10
Adding means we are taking like terms together
That would be
3x^2 + x ^2 + x -7 + 10
= 4x^2 + x + 3
Answer:
It's D
Step-by-step explanation:
What is the factored form of 27a6+8g12?
Answer:
[tex]\left(2g^4+3a^2\right)\left(4g^8-6g^4a^2+9a^4\right)[/tex]
Step-by-step explanation:
[tex]27a^6+8g^{12}[/tex]
[tex]\mathrm{Rewrite\:}27a^6+8g^{12}\mathrm{\:as\:}\left(3a^2\right)^3+\left(2g^4\right)^3[/tex]
[tex]\mathrm{Apply\:Sum\:of\:Cubes\:Formula:\:}x^3+y^3=\left(x+y\right)\left(x^2-xy+y^2\right)[/tex]
[tex]\left(3a^2\right)^3+\left(2g^4\right)^3=\left(3a^2+2g^4\right)\left(3^2a^4-3\cdot \:2g^4a^2+2^2g^8\right)[/tex]
[tex]=\left(2g^4+3a^2\right)\left(2^2g^8-3\cdot \:2g^4a^2+3^2a^4\right)[/tex]
[tex]=\left(2g^4+3a^2\right)\left(4g^8-6g^4a^2+9a^4\right)[/tex]
Answer:
b
Step-by-step explanation:
correct on edge 2021
the other one isnt even an option
in how many years will rupees 1200 at the rate of 15% interest amount to 1740
Answer: 3 years
Step-by-step explanation:
Interest = 1740 - 1200 = 540
SI = prt / 100
540 = 1200 x 0.15 x t
540 = 180t
t = 540 / 180 = 3
Find the interest amount.
[tex]I=1740-1200=540[/tex]
Use the formula for simple interest.
[tex]I=prt/100[/tex]
Solve for t.
[tex]540=1200 \times 15\% \times t[/tex]
[tex]540=1200 \times \frac{15}{100} \times t[/tex]
[tex]540=180t[/tex]
[tex]t=\frac{540}{180}[/tex]
[tex]t=3[/tex]
3 years.Multiply the polynomials
The area of the triangle above will equal one half of a rectangle that is 5 units long and units wide. (Input only whole numbers, such as 8.) (1 point)
Answer:
Width of the rectangle is 2Step-by-step explanation:
A rectangle can is made up of two right angled triangle as shown.
Since area of a rectangle = [tex]base * height[/tex]
Area of one of the triangle = [tex]\frac{1}{2}\ * \ area\ of\ the\ rectangle[/tex]
The length and width of the triangle will be the same as that of the rectangle i.e 5units long and 2units wide
Area of one of the triangle = [tex]\frac{1}{2} * 5 * 2[/tex]
Area of one of the triangle = 5units²
The area of the triangle above will equal one half of a rectangle that is 5 units long and 2 units wide.
Caleb bought some snacks at the store that cost a total of $9.38. If Caleb paid with a $20 bill, how much change did he get back?
Answer:
10.62
Step-by-step explanation:
20- 9.38 = 10.62
Find the area of a regular octagon with a side length of 12cm.
Steps:
Shape: Regular octagon
Solved for area
Side length= 12cm
A=2(1+√2)a2
Description:
Using the formula A=2(1+√2)a2 for area and Regular octagon, we calculate the side length that is 12 cm. After you calculate your answer will equal as A≈695.29cm². Since it says to round to the tenth, your answer will equal as 695.3 after rounding.
Answer: A≈695.29cm²
Round to the nearest tenth = 695.3
Please mark brainliest
Hope this helps.