Answer:
Recall 5%=.05 as a decimal. Then multiply 140(.05)=7 to get how many centimeters he grew. Add 140+7=147 to get his current height.
can someone help pls:)
Answer:
c
Step-by-step explanation:
what is the slope of a line perpendicular to the line whose equation is y=2/3x+7 fully simplify your answer
Answer:
Not linear
Step-by-step explanation:
This equation does not have a set slope.
What is the value of the expression -218 - 72 - (-5)?
Answer:
The answer is -285
Step-by-step explanation:
About 1.37x10^7 people in South America speak English.
English is the primary language for about 3.7 x 10^6 of the
people. About how many times as much people speak
English as their primary language?
Answer:
1 x 106
Step-by-step explanation:
if the marks of students in a class are [110,70,30,80,90,64] then what is the median of these marks?
Answer:
The Median is 75
Step-by-step explanation:
Medianmedian is the middle number in a set of given numbers
arranging in order will be
30,64,70,80,90,110
the middle numbers are 70 and 80
Median=80+70/2
=150/2
Median=75
Bailey and Elena compete in a swim race. Their times are shown below. Round each time to the nearest whole second . Then estimate how many seconds Bailey won the race.
Bailey and Elena's race times are given below;
Bailey's time = 1 minute, 34.87 seconds
Elena's time = 1 minute, 38.22 seconds
To round each time to the nearest whole second, we consider only the digits in the ones place. The digit in the tens place will increase by one if the digit in the ones place is five or greater.
Therefore, we can round Bailey's time as follows;
Bailey's time = 1 minute, 34.87 seconds
≈1 minute, 35 seconds
= 60 seconds + 35 seconds
= 95 seconds
Similarly, we can round Elena's time as follows;
Elena's time = 1 minute, 38.22 seconds
≈1 minute, 38 seconds
= 60 seconds + 38 seconds
= 98 seconds
Therefore, Bailey's time was 95 seconds, and Elena's time was 98 seconds. Bailey won the race by 3 seconds (98 - 95).
Bailey won the race by 3 seconds.
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for a nonsingular matrix a and nonzero scalar β, show that (βa) −1 = 1 β a
Answer:
To show that (βa)^(-1) = (1/β)a^(-1), we need to show that their product is equal to the identity matrix I.
First, let's compute the product of (βa) and (1/β)a^(-1):
(βa)(1/β)a^(-1) = (1/β)(βaa^(-1)) = (1/β)(I) = 1/β * I
So we see that (βa)(1/β)a^(-1) = 1/β * I. Now we need to show that the right-hand side is equal to the identity matrix I.
We have:
(1/β) * I = (1/β) * a * a^(-1) = a * (1/β) * a^(-1)
So (1/β) * I and a * (1/β) * a^(-1) are equal. Therefore, we have:
(βa)(1/β)a^(-1) = a * (1/β) * a^(-1) = I
This shows that (βa)^(-1) = (1/β)a^(-1), as required.
rate 5*~ and thanks~ thankyou po!
M<7=100 find measure of <11
Answer:i think its 115 degres
Step-by-step explanation:
A truck has a mass of 5000 kg. The truck driver presses on the brakes. The unbalanced net force acting on the truck when the brakes were applied was 6000N. What is the truck’s Acceleration?
The acceleration of the truck when it has a mass of 5000 kg and the truck driver presses on the brakes is 1.2m/s².
What is acceleration?The rate of change of an object's velocity with respect to time is defined as acceleration. Vector quantities are accelerations.
The orientation of an object's acceleration is determined by the orientation of the net force acting on that object's acceleration, which is the rate at which velocity changes over time in terms of both speed and direction. A point or object moving in a straight line is accelerated if it accelerates or decelerates.
Acceleration will be:
= Force / mass
= 6000 / 5000
= 1.2 m/s²
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log(10^6x) = ? A. 6x B. 60 O C. X O D. 106
Log (10^6x) =
6x ,
then
10^n = 10^6x
So then we obtain
n= 6x
Then answer is
OPTION A) 6x
Answer: A. 6x
Step-by-step explanation:
\(log10^{6x}=\\\\6x(log10)=\\\\6x(1)=\\\\6x\)
Completing the Square
2. Solve the equation by completing the square. Show your work.
x2 – 30x = –125
Step 1: Add (b/2)^2 to both sides of the equation. (2 points)
Step 2: Factor the left side of the equation. Show your work. (2 points)
Hint: It is a perfect square trinomial.
Step 3: Take the square root of both sides of the equation from Step 2. (1 point)
Step 4: Simplify the radical and solve for x. Show your work. (1 point)
Answer:
See below
Step-by-step explanation:
Step 1
x^2 – 30x = –125
-30/2 = -15
(-15)^2 = 225
Step 2
x^2 -30x+225 = -125+225
(x-15)^2 = 100
Step 3
Take the square root of each side
sqrt((x-15)^2) = sqrt(100)
Step 4
x-15 = ±10
x-15 =10 x-15 = -10
x= 10+15 x = -10 +15
x = 25 x = 5
Which floating-point literal correctly represents the scientific notation value: 2.3 x 10^7?
The floating-point literal that correctly represents the scientific notation value: 2.3 x 10^7 will be A. 2.3e^7.
What is scientific notation?It should be noted that scientific notation simply means. way that's used to express numbers that are either too large or too small to be written in decimal form.
Therefore, it should be noted that the floating-point literal that correctly represents the scientific notation value: 2.3 x 10^7 will be:
= 2.3 × 20^7
= 2.3 × e^7
= 2.3e7
The correct option is A.
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Which floating-point literal correctly represents the scientific notation value: 2.3 x 10^7?
a. 2.3e^7
b. 2.3 × 10e^7
c. 2.3e × 10^7
d. 2.3 × e^7
help please, i’m having trouble with this
Answer:
88
Step-by-step explanation:
88 Degrees
Answer:
92
Step-by-step explanation:
Corresding angles
If you pick a card randomly and then replace it 5 times, what is the probability of getting an ace exactly two times?
Based on the fact that the cards are replaced, the probability of picking an ace exactly two times is 0.47%
What is the probability?As the cards are replaced, this makes this an independent probabilities problem.
The probability of getting an ace exactly two times is:
= Probability of getting ace once x Probability of getting ace once x Probability of not getting ace³
Solving gives:
= 4/52 x 4/52 x (48/52)³
= 0.47%
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prove the identity. sinh(2x) = 2 sinh(x) cosh(x)
To prove the identity sinh(2x) = 2 sinh(x) cosh(x), we can use the definitions of sinh(x) and cosh(x) and apply trigonometric identities for exponential functions.
We start with the left-hand side of the identity, sinh(2x). Using the definition of the hyperbolic sine function, sinh(x) = (e^x - e^(-x))/2, we can substitute 2x for x in this expression, giving us sinh(2x) = (e^(2x) - e^(-2x))/2.
Next, we focus on the right-hand side of the identity, 2 sinh(x) cosh(x). Again using the definitions of sinh(x) and cosh(x), we have 2 sinh(x) cosh(x) = 2((e^x - e^(-x))/2)((e^x + e^(-x))/2).
Expanding this expression, we get 2 sinh(x) cosh(x) = (e^x - e^(-x))(e^x + e^(-x))/2.
By simplifying the right-hand side, we have (e^x * e^x - e^x * e^(-x) - e^(-x) * e^x + e^(-x) * e^(-x))/2.
This simplifies further to (e^(2x) - 1 + e^(-2x))/2, which is equal to the expression we derived for the left-hand side.
Hence, we have proved the identity sinh(2x) = 2 sinh(x) cosh(x) by showing that the left-hand side is equal to the right-hand side through the manipulation of the exponential functions.
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suppose that a classroom has 4 light bulbs. the probability that each individual light bulb works is 0.25. suppose that each light bulb works independently of the other light bulbs. what is the probability that all four of the light bulbs work?
The Probability that all four of the light bulbs work is 0.004 approx.
The probability that all four light bulbs work can be calculated by taking the product of the probability that each individual light bulb works. If each light bulb works independently of the other light bulbs, then the probability that all four light bulbs work is:
P(all 4 bulbs) = P(bulb 1) * P(bulb 2) * P(bulb 3) * P(bulb 4)
P(all 4 bulbs) = 0.25 * 0.25 * 0.25 * 0.25
P(all 4 bulbs) = 0.25^4
P(all 4 bulbs) = 0.00390625
So, the probability that all four light bulbs work is 0.00390625 or approximately 0.004.
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(X+2)(x+y+1)
Can someone help me with this one
Answer:
x^2 +xy+3x+2y+2
Step-by-step explanation:
(x+2)(x+y+1)
Apply the distributive property by multiplying each term of x+2 by each term of x+y+1.
x^2+xy+x+2x+2y+2
Combine x and 2x to get 3x
x^2 +xy+3x+2y+2
Answer: x^2+xy+3x+2y+2
Step-by-step explanation:
Expand and simplify
On Friday, Calvin ate a dinner of one serving of turkey, one cup of brown rice, a cup of milk, a large carrot, and a large banana. How many grams of protein did he eat during dinner? How many milligrams of sodium did he eat during dinner?
Answer:
20.5g in protein
427.55mg in sodium
Step-by-step explanation:
Add the amount or proteins he ate first for all the food he ate, and then the sodium for the food and there is your answer.
Identify the coefficients in the following expression.3x + 4y - 7z + 9 *
Answer:
3, 4, -7
Step-by-step explanation:
Coefficients are the numbers in front of the variable.
The average of 6 ages men is 35 years and the average of four of them is 32. Find the ages of the remaining two men if one is 3 years older than the other
Answer:
the first one must be 39.5 and the other 42.5
Step-by-step explanation:
multiply 35 by 6 and subtract 32 x 4 you are left with 82. Divide that by 2 and make the difference 3.
the table below represents the GPA of a group of undergrad students and whether or not they will be attending grad school. Finding the joint relative and marginal relative frequencies.
Answer:
a) 9/25
b) 27/100
c) 3/19
d) 1/4
Step-by-step explanation:
a) 72/200 = 9/25
b) 54/200 = 27/100
c) 18/114 = 3/19
d) 32/128 = 1/4
Let v = (-13, 2) and w= (–9,-5). What is w-v?
(-22, -23)
(-4,7)
(4,-7)
(22, 3)
Answer:
C) (4,-7)
Step-by-step explanation:
The value of w-v is (4, -7).
What is Coordinates?Coordinates is an address, which helps to locate a point in two-dimensional space.
Here, given coordinates;
v ≡ (-13, 2) and w ≡ (-9, -5)
Now, we need to find;
w - v ≡ (-9-(-13), -5 - 2)
≡ (-9+13 , -7 )
≡ (4, -7)
Thus, the value of w-v is (4, -7).
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if the skating rink was $6 per person and the birthday party will cost $72, how many skaters will be at sami's party?
Answer 1:
Equation: 6x + 72 = Total Cost
6 represents 6 dollars
x represents the number of skaters
72 represents the cost of the birthday
Total cost is the birthday cost plus the amount each skater has to pay.
Answer 2:
*If the expression you are asking is 6x = 72, then x is 12 skaters
Find the radius of the circle given by the equation (x – 5)2 + (y - 3)2 = 225.
Answer:
The radius is 15
Step-by-step explanation:
In the equation, 225 is a square of a radius, so the radius itself is the square root of 225, which is 15.
Answer: the radius is 15
Step-by-step explanation:
Write an equation and solve.
Twelve more than 5 times a number is 32
the price of a gallon of unleaded gas has risen to $2.86 yesterday's price was 2.80. Find the percentage increase
Answer: The price has gone up .07.
Step-by-step explanation:
07/2.80 x 100 = 2.5% increase
The points ( − 4 , 9 ) and ( 4, −9) lie on the same line. What is its equation in slope-intercept form of this line?
Answer:
y = -9/4x
Step-by-step explanation:
First find the slope
m = (y2-y1)/(x2-x1)
= ( -9-9)/(4 - -4)
( -9-9)/(4+4)
-18/8
-9/4
Slope intercept form is
y= mx+b where m is the slope and b is the y intercept
y = -9/4 +b
Substitute a point into the equation
9 = -9/4(-4) +b
9 = 9+b
b=0
y = -9/4x
3 friends ordered 2 pizzas of 6 slices each and ate equal amounts, how many slices did each person eat?
A 1
B 2
C 3
D 4
Answer:
Option D, 4
Step-by-step explanation:
2 pizzas x 6 slices per pizza = 12 slices of pizza
12 slices of pizza divided by 3 friends eating equal slices = 4 slices per friend
Option D, 4, is your answer
(Score for Q4 1. Kenny is putting a brick border around his irregular shaped garden. Before installing the border, Kenny must cut the bricks to fit the angles of the garden. Use the given measures to answer the question. MZA= 1° mZB = (5x – 5)º M2C = (2x+20)° m_D = (3x –15)° MZE = (4x) What are the angle measures of each vertex of the garden? Show your work. B B A С E D Answer. D Focus
Complete question :
Kenny is putting a brick border around his irregular shaped garden. Before installing the border, Kenny must
cut the bricks to fit the angles of the garden. Use the given measures to answer the question.
mzA=x
mZB=(5x-5)
m2C =(2x +20)
mZD=(3x-15)
mZE =(4x)
What are the angle measures of each vertex of the garden? Show your work.
Answer:
m<a=36
m<b=175
m<c=92
m<d=93
m<e=144
Step-by-step explanation:
Use the given measures to answer the question. MZA= x mZB = (5x – 5)º M2C = (2x+20)° m_D = (3x –15)° MZE = (4x)
We are given five angles :
Using the sum of interior angle of a regular polygon formula :
180(n - 2) ; where, n = number of sides ;
180(5 - 2) = 180 * 3 = 540°
The sum of the 5 angles should add up to 540°
x + (5x - 5)° + (2x + 20)° + (3x - 15)° + 4x = 540
5 + 20 - 15 + 5x + 2x + 3x + 4x + x = 540
15x = 540
15x = 540
15x = 540
x = 36
mzA= 36°
mZB=(5(36)-5) = 175°
m2C =(2(36) +20) = 92°
mZD=(3(36)-15) = 93°
mZE =(4(36) = 144°
Refection across x=3
Reflection across x=3 is a transformation that involves reflecting a figure across a vertical line of symmetry at x=3.
What is triangle?Triangle is a three-sided geometric shape which has three angles and three sides. The three sides of a triangle are typically referred to as the base, the height, and the hypotenuse. A triangle can be classified as either right, obtuse, or acute depending on the measure of its angles. Right triangles have one right angle, obtuse triangles have one obtuse angle, and acute triangles have three acute angles.
This transformation produces a mirror image of the original figure. Reflection across x=3 can be represented in the form of a matrix equation,
A= [[-1, 0],
[ 0, 1]]
This matrix equation demonstrates that the x coordinates of a point will be multiplied by -1, while the y coordinates will remain unchanged. This transformation is also known as a reflection over the y-axis.
Reflection across x=3 can be used to change the orientation of a figure in a 2-dimensional coordinate plane. For example, if a triangle is located at the position (2,4) and the coordinates need to be changed so the triangle is reflected across x=3, the coordinates would be transformed to (-2,4).
Reflection across x=3 can also be used to solve various types of mathematical problems. For example, if a problem asks for the coordinates of a point that is the reflection of a point across x=3, the coordinates of the reflected point can be calculated by multiplying the original x coordinate by -1 and leaving the y coordinate unchanged.
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