Answers
Answer:
D)
[tex]5 \times {10}^{ - 12} [/tex]
Step-by-step explanation:
velocity(v) = distance/time
but distance =
[tex]3 \times {10}^{ - 4} [/tex]
and velocity =
[tex]6 \times {10}^{7} [/tex]
[tex]6 \times {10}^{7} = \frac{3 \times {10}^{ - 4} }{time} [/tex]
[tex]time = \frac{3 \times {10}^{ - 4} }{6 \times {10}^{7} } [/tex]
[tex]time = 5 \times {10}^{ - 12} [/tex]
Related Questions
In meters, find the value of x?
Answers
Answer:
75 meters
Step-by-step explanation:
30/50 = 45/x
x = 75
Answer:
x= 75m
Step-by-step explanation:
If we call the angle in the bottom left θ, then the sinθ=(opposite side)/(hypotenuse).
For the smaller triangle:
sinθ=30/50
And for the bigger triangle:
sinθ=45/x
So:
30/50=sinθ=45/x
30/50=45/x
x=(45•50)/30=2250/30=75
So x= 75 meters
A student wants to determine if there is a difference in the pricing between two stores for health and beauty supplies. She recorded prices from both stores for each of 10 different products. Assuming that the conditions for conducting the test are satisfied, determine if there is a price difference between the two stores. Use the alphaequals0.1 level of significance. Complete parts (a) through (d) below. A B C D E F G H I J Store 1 5.94 7.47 3.79 1.74 1.73 2.88 4.75 3.15 2.92 3.77 Store 2 5.96 7.97 3.97 1.72 1.96 2.49 4.74 3.75 2.99 3.61
Answers
Answer:
There is no price difference between the two stores.
Step-by-step explanation:
The dependent t-test (also known as the paired t-test or paired samples t-test) compares the two means associated groups to conclude if there is a statistically significant difference amid these two means.
In this case a paired t-test is used to determine if there is a price difference between the two stores.
The hypothesis for the test can be defined as follows:
H₀: There is no price difference between the two stores, i.e. d = 0.
Hₐ: There is a price difference between the two stores, i.e. d ≠ 0.
From the information provided the sample mean and standard deviation are:
[tex]\bar d=-0.464\\\\S_{d}=1.019[/tex]
Compute the test statistic value as follows:
[tex]t=\frac{\bar d}{S_{d}/\sqrt{n}}=\frac{-0.464}{1.019/\sqrt{10}}=-1.4399\approx -1.44[/tex]
The test statistic value is -1.44.
Decision rule:
If the p-value of the test is less than the significance level then the null hypothesis will be rejected and vice-versa.
The degrees of freedom is:
n - 1 = 10 - 1 = 9
Compute the p-value of the test as follows:
[tex]p-value=2\cdot P(t_{\alpha/2, (n-1)}>-1.44)[/tex]
[tex]=2\cdot P(t_{0.10/2, 9}>-1.44)\\=2\times 0.092\\=0.184[/tex]
*Use a t-table.
The p-value of the test is 0.184.
p-value= 0.184 > α = 0.10
The null hypothesis was failed to be rejected.
Thus, it can be concluded that there is no price difference between the two stores.
Which graph shows the solution to the system of linear inequalities? 2x -3y ≤ 12 y < -3
Answers
Answer: The third graph (the one on the right side)
Step-by-step explanation:
The inequalities are:
2x -3y ≤ 12
y < -3
First, for the second inequality, we can see that y must be strictly less than -3, so we should see a dotted line at y = 3, and a shaded section under that line.
From this, we can discard the second graph (the middle one).
The first inequality can be rewritten as:
2x - 3y ≤ 12
-3y ≤ 12 - 2x
Now we divide by -3 on both sides, as we are dividing by a negative number, the direction of the ≤ sign changes:
y ≥ (12/-3) + (-2/-3)x = -4 + (2/3)*x
This means that the shaded section must be above the line:
y = -4 + (2/3)*x
Then the correct option is the third graph (rightmost graph).
Answer: c on edge 2021
Step-by-step explanation:
If you had a cube with a side length of 4, how can your write the calculations in exponential form? What are 2 other ways to read the exponent verbally?
Answers
Answer: 4^3
(Four cubed or Four to the power of 3)
Step-by-step explanation:
Maximize the objective function P = 2x + 1.5y for the feasible region shown. State the maximum value for P and the ordered pair at which the maximum value occurs.
Answers
Incomplete question. However, let's assume this are feasible regions to consider:
Points:
- (0, 100)
- (0, 125)
- (0, 325)
- (1, 200)
Answer:
Maximum value occurs at 325 at the point (0, 325)
Step-by-step explanation:
Remember, we substitute the points value for x, y in the objective function P = 2x + 1.5y.
- For point (0, 100): P= 2(0) + 1.5 (100) =150
- For point (0, 125): P= 2(0) + 1.5 (125) =187.5
For point (0, 325): P= 2(0) + 1.5 (325) = 487.5
For point (1, 200): P= 2(1) + 1.5 (200) = 302
Therefore, we could notice from the above solutions that at point (0,325) we attain the maximum value of P.
Solve the following quadratic equation by completing the square ✓3x^2 + 10x + 7✓3 = 0
Answers
[tex]\sqrt{3}x^2+10x+7\sqrt{3}=0\\\\\sqrt3(x^2+\dfrac{10x}{\sqrt{3}}+7)=0\\\\x^2+\dfrac{10x}{\sqrt{3}}+7=0\\\\x^2+\dfrac{10x}{\sqrt{3}}+\dfrac{25}{3}-\dfrac{25}{3} +7=0\\\\(x+\dfrac{5}{\sqrt{3}})^2 = \dfrac{4}{3}\\\\|x+\dfrac{5}{\sqrt{3}}| = \dfrac{2}{\sqrt{3}}\\\\x_1 = \dfrac{2}{\sqrt{3}}-\dfrac{5}{\sqrt{3}} = -\dfrac{3}{\sqrt{3}} = -\sqrt{3}\\\\x_2 = -\dfrac{2}{\sqrt{3}}-\dfrac{5}{\sqrt{3}} = \dfrac{-7}{\sqrt{3}} = -\dfrac{-7\sqrt{3}}{3}[/tex]
i need help with this equation 20 points help quick
Answers
Answer:
[tex]\boxed{y=|\frac{1}{2}x - \frac{3}{2}|+3}[/tex]
Step-by-step explanation:
The translation is a horizontal translation.
The graph is translated 1 unit to the left. So the value of x is added by 1.
[tex]f(x+1)[/tex]
[tex]y=|\frac{1}{2} (x+1)-2|+3[/tex]
[tex]y=|\frac{1}{2}x + \frac{1}{2} -2|+3[/tex]
[tex]y=|\frac{1}{2}x + - \frac{3}{2}|+3[/tex]
Simplify $\dfrac{1}{\sqrt2+1}+\dfrac{1}{\sqrt2-1}.$[tex]Simplify $\dfrac{1}{\sqrt2+1}+\dfrac{1}{\sqrt2-1}.$[/tex]
Answers
Answer:
Step-by-step explanation:
common denominator
[tex](\sqrt(2)+1)(\sqrt(2)-1) = (\sqrt{2})^2-1^{2}=2-1 = 1[/tex]
Add with common denominator
[tex]\dfrac{1}{\sqrt2+1}+\dfrac{1}{\sqrt2-1}.[/tex]
[tex]= \frac{{\sqrt2-1}}{1} + \frac{\sqrt2+1}{1}[/tex]
[tex]=2* (\sqrt2)[/tex]
David is building a bike ramp. He wants the angle that the ramp makes with the ground to be 20. If the board he wants to use for his ramp is 312feet long, about how tall will the ramp need to be at the highest point?
Answers
Answer:
it's about 106.71ft
Step-by-step explanation:
make this problem a triangle. the ramp length is 312ft, and it is the hypotenuse of the triangle. 20 is the angle between the ramp and the floor. so what I did was take the sine of 20 and get: sin(20)=x/312 then you multiply both sides by 312 to isolate the variable. multiplying sin(20) by 312 gave me 106.71 + some change idk if you're supposed to round it or not haha.
Go step by step to reduce the radical. 288
Answers
Step-by-step explanation:
hope this helps if not well im rlly srry lol
if p(x) = x+ 7/ x-1 and q (x) = x^2 + x - 2, what is the product of p(3) and q(2)? a. 50 b. 45 c. 40 d. 20 e. 6
Answers
Answer:
d. 20
Step-by-step explanation:
To answer the question given, we will follow the steps below:
we need to first find p(3)
p(x) = x+ 7/ x-1
we will replace all x by 3 in the equation above
p(3) = 3+7 / 3-1
p(3) = 10/2
p(3) = 5
Similarly to find q(2)
q (x) = x^2 + x - 2,
we will replace x by 2 in the equation above
q (2) = 2^2 + 2 - 2
q (2) = 4 + 0
q (2) = 4
The product of p(3) and q(2) = 5 × 4 = 20
Jillian has three different bracelets (X, Y, and Z) to give to her friends as gifts in any order she prefers. If bracelet Y is chosen first, in how many ways can Jillian give out the bracelets?
Answers
Answer:
B. 2
Step-by-step explanation:
ed2020
If Y bracelet is chosen first then there will be only two ways to give out the bracelets.
What are permutation and combination?
When the order of the arrangements counts, a permutation is a numerical approach that establishes the total number of alternative arrangements in a collection.
The number of alternative configurations in a collection of things when the order of the selection is irrelevant is determined by combination.
Given that Jillian has three bracelets
X, Y, and Z
Said that Y has chosen first
The remaining bracelets are X and Z
Number of ways
[Y] X, Z [Y] Z, XIt means there are only two ways to give out bracelets.
Hence "If Y bracelet is chosen first then there will be only two ways to give out the bracelets".
For more about permutation and combination,
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What are two possible measures of the angle below? On a coordinate plane, 2 rays form an angle. One ray sits on the x-axis in quadrant 1 and another sits on the y-axis between quadrants 3 and 4. –90° and 630° –45° and 630° –90° and 225° –45° and 225°
Answers
Answer:
–90° and 630°
Step-by-step explanation:
The described angle will be -90° plus any integer multiple of 360°. Possible values for the angle are ...
-90° and 630°
_____
Angles are conventionally measured counterclockwise from the positive x-axis. The angle shown in the attachment is measured clockwise, so represents a negative 90° angle.
Answer:
–90° and 630°
Step-by-step explanation:
The answer above is correct.
A restaurant catered a party for 40 people. A child’s dinner (c) cost $11 and an adult’s dinner (a) cost $20. The total cost of the dinner was $728. How many children and adults were at the party? Use the table to guess and check. 8 children and 32 adults 9 children and 31 adults 10 children and 30 adults 12 children and 28 adults
Answers
Answer:
x=8 number of children
y=32 number of adults
Step-by-step explanation:
x be children and y for adults
x+y=40 ⇒ y=40-x
11x+20y=728 solve by substitution of y=40-x
11x+20(40-x)=728
11x+800-20x=728
-9x=728-800
x=72/9 ⇒ x=8 number of children
y=40-x
y=40-8⇒ y=32 number of adults
Use the ratio of a 30-60-90 triangle to solve for the variables. Leave your answers as radicals in simplest form. x= y=
Answers
Answer:
x = 10 units, y = 5 units
Step-by-step explanation:
Given triangle ABC is a 30-60-90 triangle,
m∠C = 60°
By applying Sine rule in the given triangle,
Sin(60)°= [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
Sin(60)° [tex]=\frac{\text{AB}}{\text{AC}}[/tex]
[tex]\frac{\sqrt{3}}{2}=\frac{\text{AB}}{\text{AC}}[/tex]
[tex]\frac{\sqrt{3}}{2}=\frac{5\sqrt{3}}{x}[/tex]
x = 10 units
Similarly, by applying Cosine rule in the given triangle,
Cos(60)° = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
Cos(60)° = [tex]=\frac{\text{BC}}{\text{AC}}[/tex]
[tex]\frac{1}{2}=\frac{y}{x}[/tex]
y = [tex]\frac{x}{2}[/tex]
y = 5 units
Therefore, x = 10 units and y = 5 units will be the answer.
In 1819, the United States purchased Florida from Spain for
$5 X 106. The area of Florida is about 6.6 x 104 square miles.
Which key strokes on a calculator will give the cost the
United States paid for each square mile of Florida?
Answers
Answer:
Option D. 5 EE 6 ÷ 6.6 EE 4
Step-by-step explanation:
Data obtained from the question include the following:
Area of land purchased = 6.6×10^4 square miles
Cost = $ 5×10^6
To determine the key strokes on a calculator which will give the cost the
United States paid for each square mile of Florida, let us calculate cost of 1 square mile.
This can be obtained as follow:
6.6×10^4 sq mile = $ 5×10^6
Therefore,
1 sq mile = $ 5×10^6 ÷ 6.6×10^4
In calculator, the key strokes will be:
5 EE 6 ÷ 6.6 EE 4
Answer:
Like Eduard22sly said D). 5 EE 6 ÷ 6.6 EE 4 is correct.
plus i took the test 100% :)
(-y^5)(8y^2) and (-7^5)(9y) and (-7^5)(-5)
Answers
Answer:
[tex]-8y^{25}\\-9y^6\\5y^5[/tex]
Step-by-step explanation:
First one.
[tex]((-y)^5)(8y^{20})=-y^5*8y^{20}=-8y^{5+20}=-8y^{25}[/tex]
Second one
[tex]((-y)^{5} )(9y)=-y^5*9y=-9y^{5+1}=-9y^6[/tex]
and last one
[tex]((-y)^5)(-5)=-y^5*(-5)=5y^5[/tex]
In circle O, MP is a diameter. Circle O is shown. Line segment M P is a diameter. Line segment N O is a radius. If mArc N P is 6 more than 5 times the measure of Arc M N , what is mArc N P ? 139° 145° 151° 174°
Answers
Answer:
m arc NP = 151°
Step-by-step explanation:
m arc MN = x
m arc NP = y
5x + 6 = y
x + y = 180, I will solve with substitution
x + (5x + 6) = 180
6x + 6 = 180
6x = 174
x = 29
y = 151
Answer:
151 or c
Step-by-step explanation:
PLEASEEEEANSWERWhich of the following linear equations represents the data chart below? y = 3x + 5 y = x − 5 y = 3x + 11 None of these choices are correcT
Answers
Answer:
y=3x+5
Step-by-step explanation:
if an article is sold with 20% discount,there will be a profit of 15%.If it is sold at 10% discount, there will be a profit of Rs.200.Calculate the market price of an article
Answers
Answer:
The market price of the article is Rs. 978.72
Step-by-step explanation:
Let x represents the market price.
Let y represents the selling price.
Let z represents the cost price.
if an article is sold with 20% discount then there will be a profit of 15%.
SP = CP+Profit =z+0.15z=1.15z
ATQ
[tex]0.80x = 1.15z\\0.80x- 1.15z = 0[/tex]
If it is sold at 10% discount then there will be a profit of Rs.200
ATQ
[tex]0.9x - z = 200[/tex]
Now we are supposed to find the market price of an article.
[tex]0.9x - z= 200[/tex]
Multiplying 1.15 both sides
[tex]0.9x \times 1.15 - 1.15z = 200 \times 1.15\\1.035x - 1.15z = 230[/tex]
We know that[tex]1.15z = 0.80x[/tex]
[tex]1.035x - 0.80z = 230\\0.235x = 230\\x = \frac{230}{0.235}\\x= Rs. 978.72[/tex]
Hence The market price of the article is Rs. 978.72
Please help me with this question
Answers
Answer:
a. 30 meters per second
b. -10 meters per second
Step-by-step explanation:
a. Average rate of change for the height from 0 to 6.6 secs can be calculated using the formula, [tex] m = \frac{H(b) - H(a)}{b - a} [/tex]
Thus,
Where,
[tex] a = 0, H(0) = 0 [/tex]
[tex] b = 6.6, H(6.6) = 198 [/tex]
Plug in the values into the formula:
[tex] m = \frac{198 - 0}{6.6 - 0} [/tex]
[tex] m = \frac{198}{6.6} [/tex]
[tex] m = 30 [/tex]
b. Average rate of change for the height from 8.8 to 13.2 secs = tex] m = \frac{H(b) - H(a)}{b - a} [/tex]
Where,
[tex] a = 8.8, H(8.8) = 44 [/tex]
[tex] b = 13.2, H(13.2) = 0 [/tex]
Plug in the values:
[tex] m = \frac{0 - 44}{13.2 - 8.8} [/tex]
[tex] m = \frac{-44}{4.4} [/tex]
[tex] m = -10 [/tex]
Which could be used to solve this equation? 3 and one-fifth + n = 9 Subtract 3 and one-fifth from both sides of the equation. 3 and one-fifth minus 3 and one-fifth + n = 9 + 3 and one-fifth Add 3 and one-fifth to both sides of the equation. 9 + 3 and one-fifth = 12 and one-fifth
Answers
Answer:
Subtract [tex]3\frac{1}{5}[/tex] from both sides.
Step-by-step explanation:
We want to isolate the variable [tex]n[/tex]. To do this, we have to get rid of [tex]3\frac{1}{5}[/tex], which we can do by subtracting itself, since it equals 0.
[tex]3\frac{1}{5} + n =9[/tex]
[tex]n = 5\frac{4}{5}[/tex]
Answer:
ITS A
Step-by-step explanation:
Please help out show work ty!
Answers
Answer:
C
Step-by-step explanation:
This is because it has a constant rate of change.
5 x 1.5 = 7.5
6 x 1.5 = 9
7 x 1.5 = 10.5
You can find this image by dividing y by x and testing this rate of change on the other y values. Thus C is correct.
Multiply. √3 ⋅ √5 ⋅ √7 Enter your answer, in radical form, in the box.
Answers
Answer: square 105
Step-by-step explanation: Confirming answer
A radical expression is an expression containing a square root, mostly a square root.
The value of √3.√5.√7 in radical form is √105.
What is a radical expression?A radical expression is an expression containing a square root, mostly a square root.
We have,
√3.√5.√7
We can multiply the numbers together.
= √(3 x 5 x 7 )
= √(15 x 7)
= √105
Thus the value of √3.√5.√7 in radical form is √105.
Learn more about radical form here:
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Determine the perimeter and area of the red portion of the 2 dimensional figure below, given the circle diameter of 7 cm and the perimeter of the entire figure is 42 cm. Round if necessary
Answers
Answer:
Perimeter = 20cm ; area = 59.5cm
Step-by-step explanation:
Given the following :
Perimeter of entire figure = 42cm
Diameter of circle (d) = 7cm
Find the perimeter of the circle :
The perimeter (p) of a circle equals :
2πr
Where r = radius of circle
r = diameter /2 = 7/2 = 3.5cm
Therefore,
P = 2 * (22/7) * 3.5
P = 22 cm
Looking at the figure, we only take the semicircle :
Therefore perimeter of each semicircle =
22cm / 2 = 11cm
Therefore, perimeter of the red shaded region =
(42 - 22)cm = 20cm
Area of Circle = πr^2
(22/7) * 3.5^2 = 38.5 cm
Area of each semicircle = 38.5/2 = 19.25cm
Total area of semicircle = (19.25 +19.25) = 38.50cm
To find sides of rectangle :
Perimeter of the rectangle :
width = diameter of circle = 7cm
2(l + w) = 42
2(l + 7) = 42
2l + 14 = 42
2l = 42 - 14
2l = 28
l = 28/2
length (l) = 14cm
Therefore, area of rectangle :
Length * width
14 * 7 = 98cm
Area of red portion:
Area of rectangle - (area of the 2 semicircles)
98cm - 38.50cm
= 59.50cm
Help urgently please❤️
Answers
Answer:
1. 677 inches = 18.056 yards
677 inches = 56.416 feet
677 inches = 677 inches
2. QP = 23.5 cm
3. The perimeter = 53.5 cm
Step-by-step explanation:
1. To convert, 677 inches to yards, we have;
1 inch = 0.0277778 yards
677 inches = 677*0.0277778 = 18.056 yards
To convert, 677 inches to feet, we have;
1 inch = 0.083333 feet
677 inches = 677*0.083333 = 56.416 feet
To convert, 677 inches to inches, we have;
1 inch = 1 inch
677 inches = 677*1 = 677 inches
2. We have that ∠PRQ and ∠PRS are supplementary angles (angles on a straight line
Given that ∠PRS = 90°, ∠PRQ = 180° - 90° = 90°;
∠PRQ + ∠PQR + ∠RPQ = 180°, sum of angles in a triangle
∠PQR = 24° given
∠PRQ = 90°
∴ ∠RPQ = 180° - 90° - 24° = 66°
∴∠SPQ = ∠SPR + ∠RPQ = 36° + 66° = 102°
∠QSP + ∠SPQ + ∠PQS = 180° (sum of angles in a triangle)
∠QSP = 180° -∠SPQ - ∠PQS = 180° -102° - 24 = 54°
By sine rule, we have;
a/(sin(A)) = b/(sin(B))
Therefore, we have;
11.8/(sin(24)) = QP/(sin(54°))
QP = (11.8/(sin(24))) × (sin(54°)) = 23.5 cm
3. From trigonometric ratios, we have;
tan(43°) = BC/CA = BC/(16.2 cm)
BC = 16.2 cm × tan(43°) = 15.1
By Pythagoras theorem, we have;
AB = √(15.1² + 16.2²) = 22.2
The perimeter = 15.1 + 16.2 + 22.2 = 53.5 cm
Which of the following best describes the relationship between (x-3) and the
polynomial x2 + 4x2 + 2?
A. It is impossible to tell whether (x-3) is a factor.
B. (x-3) is a factor
C. (x-3) is not a factor.
Answers
Answer:
C
Step-by-step explanation:
If (x - 3) is a factor of the polynomial then evaluating the polynomial for x = 3 should give a result of zero, that is
3² + 4(3)² + 2 = 9 + 36 + 2 = 47 ≠ 0
Thus (x - 3) is not a factor → C
You give me answer=BRAINLIEST
Answers
Answer:
A. 2
Step-by-step explanation:
Well let’s first graph the following,
[tex]x^2 + y = 8[/tex]
[tex]x=y[/tex]
So on the graph the system of equations only have 2 real solutions which are
(-3.272, -3.272) (2.372,2.372)
Is y = 75 x + 52 increasing or decreasing.
Answers
Answer:
Increasing if X is positive decreasnig if X is negative
Step-by-step explanation:
Answer:
increasing
Step-by-step explanation:
positive slope of 75 so line goes up to the right
The cell cycle is the process by which a single cell replicates itself. A student investigates whether cell growth during the cell cycle is linear or exponential. The table at left gives the length, in micrometers, of an S. pombe (yeast) cell at different times after the cell cycle begins. Which of the following best describes the relationship between time and length of this cell?
Answers
The question is incomplete. the complete question is as follows:
The cell cycle is the process by which a single cell replicates itself. A student investigates whether cell growth during the cell cycle is linear or exponential. The table at the left gives the length, in micrometers, of an S. pombe (yeast) cell at different times after the cell cycle begins. Which of the following best describes the relationship between time and length of this cell?
A. It is linear because the length increases by the same factor every 10 minutes.
B. It is linear because the length increases by the same number of micrometers every 10 minutes.
C. It is exponential because the length increases by the same factor every 10 minutes.
D. It is exponential because the length increases by the same number of micrometers every 10 minutes.
Answer:
C. It is exponential because the length increases by the same factor every 10 minutes.
Step-by-step explanation:
According to the data shown, the relationship between time and length of this cell is exponential.
The relationship is exponential because the length increases by the same factor every 10 minutes.
The growth of the cell is exponential it means the optimal conditions are provided to the cell for their growth.
Hence, the correct answer is "C. It is exponential because the length increases by the same factor every 10 minutes."
