Answer:
v^10
Step-by-step explanation:
For this, we need to understand one important rule of exponents. For powers of like bases, you add the exponents when they are being multiplied. With this in mind let's continue.
In this problem, the base is v, each multiplied with different powers. So:
v^4 * v^5 * v = v^(4+5+1) = v^10
So the solution will be v^10.
An additional example would be 2^2 * 2^3.
For this we know it would be 2^2 * 2^3 = 2^(2+3) = 2^5 = 32.
We can verify by simply doing 2 * 2 * 2 * 2 * 2 = 32. Note both are 32, and this example shows the usefulness of exponent rules.
Hope this helps. Cheers.
Answer:
v10
Step-by-step explanation:
v^4*v^5*v=v^10
add exponents when multiplying since we have exponents 4,5, and 1
4+5+1=10
Together, two apples have 1/5 gram of fat. How many apples have a total of 4 grams of a
apples
Answer:
40 apples
Step-by-step explanation:
2 apples= [tex]\frac{1}{5}[/tex] grams
x apples= 4 grams
8/[tex]\frac{1}{5}[/tex] = 8 x 5/1=40
Answer:
40
Step-by-step explanation:
edu instruction correct
A cake mix calls for these ingredients. 2 cups of sugar 7 cups of flour 3 cups of milk 1 cup of oil Write the ratios of sugar to flour and milk to oil. Which correctly compares the ratios?
Answer:
Ratio of sugar and flour
2:7
Ratio of milk and oil
3:1
Step-by-step explanation:
Here in this question, we shall be writing ratios based on the given number of cups in the question.
We start with ratio of sugar to flour.
We have;2 cups of sugar and 7 cups of flour. Thus we have the ratio of sugar to flour as 2:7
Also we want the ratio of milk and oil
we have 3 cups of milk and 1 cup of oil
So the ratio of milk and oil is 3:1
Answer: TO be short for it its B! :D
A cake mix calls for these ingredients.
2 cups of sugar
7 cups of flour
3 cups of milk
1 cup of oil
Write the ratios of sugar to flour and milk to oil. Which correctly compares the ratios?
3/7 > 2/1
2/7<3/1
7/1<2/3
3/2>1/7
2
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jazminlowery
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2/7<3/1
with 2 cups of sugar to 7 cups of flour that is a small ratio/ fraction while as
3 cups of milk to 1 cup of oil is a larger ratio/fraction.
douwdek0 and 60 more users found this answer helpful
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Answer
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ColinJacobus
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Answer: The correct option is (B).
The ratio of sugar to flour is and the ratio of milk to oil is
Step-by-step explanation: Given that a cake mix calls for the following ingredients:
2 cups of sugar , 7 cups of flour , 3 cups of milk and 1 cup of oil.
We are given to write the ratios of sugar to flour and milk to oil and select the correct comparison of the ratios.
The ratio of sugar to flour is given by
and the ratio of milk to oil is given by
Since
so have
Thus, the ratio of sugar to flour is and the ratio of milk to oil is The correct comparison is
Option (B) is CORRECT.
Step-by-step explanation:
Which of these is the absolute value parent function?
O A f(x) = 12x1
O B. f(x) = (x + 1
O c. f(x) = [xl - 2
O D. f(x) = [X]
Answer:
D. f(x) = |x|
Step-by-step explanation:
The absolute value parent function has nothing added or subtracted or multiplied. It is simply ...
f(x) = |x|
how to do this question plz answer
Answer:
4 cm
Step-by-step explanation:
The milk fills 12 cm of the 15 cm height, so fills 12/15 = 4/5 of the volume of the container.
When the container is laid flat so that the 5 cm direction is the height, the milk still fills 4/5 of the height. The dept of the milk in that configuration is ...
(4/5)(5 cm) = 4 cm
Answer:
Depth = 4cm
Step-by-step explanation:
Well if the milk is turned to its orange side then 4cm will be depth because that's the new height.
Thus,
the new depth is 4cm.
Hope this helps :)
TRUE OF FALSE : -4 <-2
Answer: false but not sure
SB
Compare the process of solving
|x - 11 +1 < 15 to that of solving
|x - 11 +1 > 15.
DONE
Answer:
x = 0
Step-by-step explanation:
i) x - 11 + 1 < 15
x - 10 < 15
x < 10 + 15
x < 25
ii) x - 11 + 1 > 15
x - 10 > 15
x > 25
Therefore to compare (i) and (ii)
25 < x < 25
In any case, x = 0
Find the measure of one exterior angle for the following regular polygon.
Answer:
72º
Step-by-step explanation:
Hey there!
Well the interior of a pentagon's angle is 108º,
so we do,
180 - 108 = 72º
Hope this helps :)
Answer:
72°
Step-by-step explanation:
→ First find the measure of all interior angle, utilise the formula (n-2) × 180° where n is the number of sides
(n-2) × 180° ⇔ (5-2) × 180° ⇔ 3 × 180° ⇔ 540°
→ 540° is the total sum of the angles in the pentagon, divide this by 5 to get one of the interior angles
540° ÷ 5 = 108°
→ Now, remember the fact that 1 interior + 1 exterior angle = 180°
180 - ( 1 interior angle ) → 180 - (108) = 72°
The formula for the area of a triangle is A = 1/2bh, where b represents the length of the base and h represents the height. Part A; solve the formula for b.
Answer:
b = [tex]\frac{2A}{h}[/tex]
Step-by-step explanation:
Given
A = [tex]\frac{1}{2}[/tex] bh
Multiply both sides by 2 to clear the fraction
2A = bh ( divide both sides by h )
[tex]\frac{2A}{h}[/tex] = b
Round Ed to the nearthest tenth and answer now question
Answer:
[tex] y = 9.1 [/tex]
Step-by-step explanation:
y can be found using the Law of sines as explained below:
m < Y = 106°
m < X = 58°
WY = x = 8
WX = y = ?
Thus,
[tex] \frac{x}{sin(X)} = \frac{y}{sin(Y)} [/tex]
[tex] \frac{8}{sin(58)} = \frac{y}{sin(106)} [/tex]
[tex] \frac{8}{0.848} = \frac{y}{0.961} [/tex]
Multiply both sides by 0.961 to solve for y
[tex] \frac{8}{0.848}*0.961 = \frac{y}{0.961}*0.961 [/tex]
[tex] \frac{8*0.961}{0.848} = y [/tex]
[tex] \frac{8*0.961}{0.848}*0.961 = y [/tex]
[tex] 9.07 = y [/tex]
[tex] y = 9.1 [/tex] (to the nearest tenth)
what is 2-3+5÷16?
please give the answer by solving it
Answer:
HOPE IT HELPS. PLEASE MARK IT AS BRAINLIEST
Answer:
Step-by-step explanation:
2-3+5/16 = -1+5/16 = 4/16 = 1/4 = 0.25
hope it helps
Explain how to solve the equation |2x-3| = x^2 graphically. Using a graphing calculator to find all real number solutions to the equation.
Answer:
x = -3 , x = 1
Step-by-step explanation:
Hello,
you need to draw the graph of the two functions and then find the intersection points.
please see below
So the solution is the two points A and B
(-3,9) and (1,1)
Hope this helps
What number on the number line represents ground level?
0
-1
-2
-3
-4
-5
-6
Answer:
0 represents ground level.
Step-by-step explanation:
0 on the number line represents ground level. Based on the photo, the 0 is in between the underground and the space above. The answer cannot be one of the negative numbers because those are all shown to be underground in the photo.
What's the correct answer to this..? Please help
Answer:
D. {x:-8≤x<-5}
Step-by-step explanation:
x≥-8
x={-8,-7,-6,-5,-4,-3,-2,-1,0...}
x<-5
x={-6,-7,-8,-9,-0...}
Numbers equal to or less than -8 are also less than -5
Hope it helps ;) ❤❤❤
Answer:
The answer is "D"
After eating at a restaurant Alyssa Dan and Nancy decided to divide the bill evenly if each person pay $38 what was the total of the bill
Answer:
$76
Step-by-step explanation:
$38 + $38 = $76
Which data set has the largest standard deviation?
O A. 12, 14, 13, 14, 12, 13, 12
O B. 1,6,3, 15, 4, 12,8
O C. 20, 21, 23, 19, 19, 20, 20
D. 3,4,3, 4, 3, 4,3
SU
Answer:
I thinks it's B.not sure...
The deviation of the mean between the sample is less in option B.
What is a standard deviation?It is the measure of the dispersion of statistical data. Dispersion is the extent to which the value is in variation.
The mean is the numerical normal of a bunch of at least two numbers. The number juggling means and the mathematical mean are two sorts of implications that can be determined.
If the deviation of the mean between the sample is more, then the deviation will be more.
Let's check all the options.
A. 12, 14, 13, 14, 12, 13, 12
The mean is calculated as,
Mean = (12 + 14 + 13 + 14 + 12 + 13 + 12) / 7
Mean = 12.86
B. 1,6,3, 15, 4, 12,8
The mean is calculated as,
Mean = (1 + 6 + 3 + 15 + 4 + 12 + 8) / 7
Mean = 7
C. 20, 21, 23, 19, 19, 20, 20
The mean is calculated as,
Mean = (20 + 21 + 23 + 19 + 19 + 20 + 20) / 7
Mean = 20.28
D. 3,4,3, 4, 3, 4, 3
The mean is calculated as,
Mean = (3 + 4 + 3 + 4 + 3 + 4 + 3) / 7
Mean = 3.43
The deviation of the mean between the sample is less in option B.
More about the standard deviation link is given below.
https://brainly.com/question/12402189
#SPJ2
Select the correct answer. An inverse variation includes the point (2,12). Which point would also belong in this inverse variation? A. (3,-8) B. (-8,-3) C. (1,6) D. (-6,1)
Answer:
d
Step-by-step explanation:
The hourly revenue of a certain clothes manufacturer is represented by the function f(x) = -0.082x2 + 7.3x + 3.6 for the domain [0, 89]. According to this model, what is the maximum revenue this clothes manufacturer can have in an hour?
Answer:
166.07
Step-by-step explanation:
since the domain is [0,89] means the maximum amount is when x=89
vertex is where it reached the maximum amount:(44.512,166.07)
Calculate the perimeter of this trapezoid
Answer:
31 cm
Step-by-step explanation:
The perimeter is the sum of the sides so the answer is 8 + 10.5 + 9 + 3.5 = 31 cm.
Please answer this question now
Answer:
469.4ft²
Step-by-step explanation:
We have Triangle WXY
In the question, we are given already
Angle W = 27°
Angle X = ?
Angle Y = 40°
Side w =?
Side x = ?
Side y = 38ft
Area of the triangle= ?
Step 1
We find the third angle = Angle X
Sum of angles in a triangle = 180°
Third angle = Angle X= 180° - (27 + 40)°
= 180° - 67°
Angle X = 113°
Step 2
Find the sides w and x
We find these sides using the sine rule
Sine rule or Rule of Sines =
a/ sin A = b/ Sin B
Hence for triangle WXY
w/ sin W = x/ sin X = y/ sin Y
We have the following values
Angle W = 27°
Angle X = 113°
Angle Y = 40°
We are given side y = 38ft
Finding side w
w/ sin W= y/ sin Y
w/sin 27 = 38/sin 40
Cross Multiply
sin 27 × 38 = w × sin 40
w = sin 27 × 38/sin 40
w = 26.83879ft
w = 26.84ft
Finding side x
x / sin X= y/ sin Y
x/ sin 113 = 38/sin 40
Cross Multiply
sin 113 × 38 = x × sin 40
x = sin 113 × 38/sin 40
x = 54.41795ft
x = 54.42ft
To find the area of triangle WXY
We use heron formula
= √s(s - w) (s - x) (s - y)
Where S = w + x + y/ 2
s = (38 + 26.84 + 54.42)/2
s = 59.63
Area of the triangle = √59.63× (59.63 - 38) × (59.63 - 26.84 ) × (59.63 - 54.42)
Area of the triangle = √
Area of the triangle = 469.40772706541ft²
Approximately to the nearest tenth =469.4yd²
What else would need to be congruent to show that ABC= ADEF by SAS?
A. ZCE ZF
B. BC = EF
O C. ZA= ZD
D. AC = DF
Answer:
The correct option is;
c. ∠A ≅ ∠D
Step-by-step explanation:
The given information are;
[tex]\overline{AB}\cong \overline{DE}[/tex]
[tex]\overline{AC}\cong \overline{DF}[/tex]
Therefore, for Side Angle Side, SAS, condition of congruency, we have;
The included angle should be congruent that is ∠C ≅ ∠D
Two triangles, triangle ABC and triangle XYZ for example, having two adjacent sides, AB and AC in triangle ABC and XY and XZ in triangle XYZ of corresponding length such that AB ≅ XY and AC ≅ XZ and also having congruent included angles between the two sides (∠A ≅ ∠X), the two triangles are said to be congruent.
For triangles ABC and DEF to be considered congruent triangles, the additional information that is needed to be congruent is: C. ∠A ≅ ∠D
What is the SAS Congruence Theorem?SAS means, side-angle-side congruence theorem, which states that two triangles are congruent if they have two pairs of congruent sides and a pair of congruent angles that are included angles (in between the two congruent sides).
Therefore, for triangles ABC and DEF to be considered congruent triangles, the additional information that is needed to be congruent is: C. ∠A ≅ ∠D
Learn more about SAS congruence theorem on:
https://brainly.com/question/14252518
Which of the following statements is true
A. The relationship is a function because there are no two y-values corresponding to the same x-value
B. The relationship is not a function because there is more than one x value corresponding to y=2
C. The relationship is not a function because there are values of y that have no corresponding x- value
D. The relationship is not a function because each y has a corresponding x-value
in which table does y vary inversely with x?
Answer:
Table B
Step-by-step explanation:
Note that for y to vary inversely as x, an increase in x will cause a decrease in y. Therefore, by careful observation of tables A, B, C, and D, we would notice the following:
In table C:
As x increases from 1 to 2 to 3, y also increases from 26 to 52 to 78. Which means that an increase in x causes an increase in y. This is not an inverse variation.
In table D:
As x increases from 1 to 2 to 3, y also increases from -7 to -1 to 6. Which means that an increase in x causes an increase in y. This is also not an inverse variation.
We are left with options A and B
If y varies inversely as x, the following relationship must hold:
[tex]y \alpha \frac{1}{x}\\y = \frac{k}{x}[/tex]
Where k is a constant of proportionality
considering option B:
When x = 1, y = 36
36 = k/1
k = 36 * 1
k = 36
when x = 2, y = 36/2
y = 18
when x = 3, y = 36/3
y = 12
These tally with all that is indicated in the table. Option B is an inverse variation
What is the simplified form of -9x+3x
Answer:
-6x
Step-by-step explanation:
you can combine numbers with the same coefficient like any other number
Answer:
-6x
Step-by-step explanation:
It would be doing the same thing as -9 + 3, but without a variable.
An air traffic controller spots two airplanes at the same altitude converging to a point as they fly at right angles to each other. One airplane is 150 miles from the point and has a speed of 300 miles per hour. The other is 200 miles from the point and has a speed of 400 miles per hour.
(a) At what rate is the distances between the planes decreasing?
(b) How much time does the air traffic controller have to get one of the planes on a different flight path?
Answer:
(a) D(t) = 250t -500 miles
(b) Controller has 2 hours, but including time for pilots to divert course or altitude.
Step-by-step explanation:
Given:
two planes at same altitude heading in a collision course.
Plane A at 400 miles from collision point at 200 mph
Plane B at 300 miles from collision point at 150 mph.
Theoretical collision happens in
t = 400/200 = 300/150 = 2 hours
Distance ya of plane A from collision point as a function of time in hours
ya(t) = 400 -200t
Distance yb of plane B from collision point as a function of time in hours
yb(t) = 300-150t
(a) Distance between two planes,
Since the two planes are on courses perpendicular to each other, will need using pythagorean theorem
D(t) = sqrt(ya(t)^2+yb(t)^2)
= sqrt((400-200t)^2+(300-150t)^2)
= 250(t-2)
D(t) = 250t -500 miles
b. time available
Time until D(t) = 0
solve D(t) = 0
D(t) = 0
250(t-2) = 0
t = 2 (two hours)
Answer:
a) -500 mph
b) 1/2 h
Step-by-step explanation:
a)[tex]\frac{ (150(-300))+(200(-400))}{\sqrt{150x^{2} +200^{2} } }[/tex]
b) [tex]\frac{\sqrt{150^{2}+200^{2} } }{500}[/tex]
The solution to an inequality is given in set-builder notation as {x l x > two-thirds}. What is another way to represent this solution set?
Answer:
[tex](\frac{2}{3},\infty)[/tex]
Step-by-step explanation:
Set builder notation is a mathematical notation used to write the elements of a set stating the conditions that the elements of the set must satisfy. A solution set is also a way of defining solutions to equations and inequalities. A solution set contains a set of all variables for which the equation is true.
The notation {x l x > two-thirds} is a set of all real numbers greater than 2/3, it can also be represented as:
[tex](\frac{2}{3},\infty)[/tex]
Answer:
c) (two-thirds, ∞)
Step-by-step explanation:
edg2020
If each side of a cube is halved, its surface area will be __________________.
(a) halved (b) one-fourth (c) doubled (d) same
Answer:
b)
Step-by-step explanation:
Surface area of a cube = 6a² , here a is the side of cube
When side is halved, side = a/2
Now, the surface area of new cube = 6* (a/2)²
= [tex]6*\frac{a^{2}}{4}=\frac{1}{4}*6a^{2}\\[/tex]
= one fourth of the cube
3√6+4√6 is equal to
Answer:
[tex]7\sqrt{6}[/tex]
Step-by-step explanation:
You can only add radicals if the value inside the square root symbol is the exact same, therefore, this one is 6. To find the sum, we can add the values outside the square root symbol (3 and 4) to get our new radical.
We can also check this.
[tex]3\sqrt{6} = \sqrt{9*6} = \sqrt{54}[/tex] ≈ 7.35
[tex]4\sqrt{6} = \sqrt{16*6} = \sqrt{96}[/tex] ≈ 9.8
[tex]7\sqrt{6} = \sqrt{49*6} = \sqrt{294}[/tex] ≈ 17.15
7.35+9.8 = 17.15
Hope this helped!
Answer:
17.15
Step-by-step explanation:
[tex]3\sqrt{6}[/tex]
Square root of 6 is about 2.45
2.45 * 3 = 7.35
[tex]4\sqrt{6}[/tex],
Square root of 6 is about 2.45,
2.45*4 = 9.8
7.35 + 9.8 = 17.15
The base of a regular pyramid is a hexagon.
Answer:
96[tex]\sqrt{3}[/tex] cm²
Step-by-step explanation:
A hexagon can be cut into 6 equilateral triangles.
Using the half shown in the diagram to calculate the apothem a , and the exact value
sin60° = [tex]\frac{\sqrt{3} }{2}[/tex] , then
sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{a}{8}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )
2a = 8[tex]\sqrt{3}[/tex] ( divide both sides by 2 )
a = 4[tex]\sqrt{3}[/tex] cm
The area (A) can be calculated using
A = [tex]\frac{1}{2}[/tex] pa ( p is the perimeter of the hexagon )
The sides of the hexagon measure 8 cm ( equilateral Δ has congruent sides )
p = 6 × 8 = 48 cm, so
A = [tex]\frac{1}{2}[/tex] × 48 × 4[tex]\sqrt{3}[/tex] = 96[tex]\sqrt{3}[/tex] cm²
question is in picture PLEASE HELP
Answer:
Step-by-step explanation:
Hello,
For the step 1:
We multiply the first equation by 3 and the second equation by 2, so we are using the Multiplication Property of Equality.
For the step 2:
To eliminate the x we subtract the first equation to the second one, so we are using the Subtraction Property of Equality.
For the step 3:
We divide by -16 both parts of the equation, so we are using the Division Property of Equality.
For the step 4:
We replace y in the initial first equation, we we are using the Substitution Property of Equality.
For the step 5:
We just Simplify.
For the step 6:
We add 4 to both parts of the equation, so we are using the Addition Property of Equality.
For the step 7:
We divide by 2, so we are using the Division Property of Equality.
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
Find the length of a cube with a surface area of 850cm^2 rounded to the nearest tenth. I need a step by step solution pleaseeee:)
Answer:
11.9 cm.
Step-by-step explanation:
A cube has a SURFACE AREA of 850 cm^2.
A cube has six congruent sides. That means that each side measures 850 / 6 = 141.666666667 cm^2.
Since a side measures 141.66667 cm^2, a side length will be the square root of that (the area of a square is a side length times the side length, and they are the same).
[tex]\sqrt{141.666666666667}[/tex]
= 11.90238071
So, the side length of the cube is 11.9 cm.
Hope this helps!