It should be noted that when Thomas withdrew $55 from his account and later added $30, the overall change in his account balance is -$25.
How to illustrate the information?It should be noted that regarding a bank account, it should be noted that the withdrawal has to do with the amount of money that the person removes from the account.
It should be noted that deposit is an addition to the amount in the account while the withdrawal is the subtraction.
Therefore, should be noted that when Thomas withdrew $55 from his account and later added $30, the overall change in his account balance will be:
= -$55 + $30
= -$25.
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Solve for x to the nearest tenth.
Applying the Pythagorean Theorem, the value of x to the nearest tenth is: 4.5 units.
What is the Pythagorean Theorem?If c represents the length of the longest side (hypotenuse) of a right triangle, and a and b are the lengths of the other smaller legs of the right triangle, the Pythagorean Theorem states that:
c = √(a² + b²).
In the diagram given, we have a right triangle that is a part of the given shape. Where:
Hypotenuse = c = x
a = 4 units
b = 5 - 3 = 2 units
Plug in the values
x = √(4² + 2²)
x = √(16 + 4)
x = √20
x ≈ 4.5 units (nearest tenth)
Thus, applying the Pythagorean Theorem, the value of x to the nearest tenth is: 4.5 units.
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need help with inequality equations
Answer:
I and III
Step-by-step explanation:
I.
-6 - x ≤ 7
-6 - (-13) ≤ 7
-6 + 13 ≤ 7
7 ≤ 7
True
II.
-6 - x ≤ 7
-6 - (-14) ≤ 7
-6 + 14 ≤ 7
8 ≤ 7
False
III.
-6 - x ≤ 7
-6 - (-6) ≤ 7
-6 + 6 ≤ 7
0 ≤ 7
True
I hope this helps!
a to the power of 5 divided by a to the power of 3
Answer:
Step-by-step explanation: i thank the answer is 100 .
I need help figuring out what 7x + 5 divided by x is
Answer:
The way you described this question was a bit confusing- but here is what I can provide based off of what you said.
Step-by-step explanation:
7x+5/x
Please provide a picture next time
What is the value of the expression 8 + (9 -1) \div÷ 4?
Answer:10
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
8 + (9- 1) ÷ 4
Use PEMDAS to determine order of operations in a mathematical expression
The order of operations is
P = parentheses
E = exponent
M = multiplication
D == division
A = addition
S = subtraction
Note that multiplication and division have the same priority and we go from left to right that case. Because it does not affect the answer.
So 12 ÷ 4 x 6 = 12 x 6 ÷ 4
Same for addition and subtraction - same priority
Using PEMDAS
(9 - 1) is executed first giving 8
The expression becomes 8 + 8 ÷ 4
Next division is performed so 8 ÷ 4 is executed giving 2 as the answer
Finally 8 + 2 is executed giving 10
2x(4+1)+(3x+5)+(2x+1)
What is the approximate value of √8
Answer:
Close to 3 since 8 is close to 9.
The actual value was 2.8, so I approximated what was closest to it using rounding and the most logical explanation.
4r-4s+4t = -4
4r+s-2t= 5
-3r-3s-4t=-16
Answer:
1) R = 1 S = 3 T = 1
2) R = 1 S = 3 T = 1
3) R = 1 S = 3 T = 1
Step-by-step explanation:
Surprisingly each of the situations end up with 1, 3, 1. I double checked with a calculator and they all end up being true. Hope this helps. Have a great night. :)
Work out
(3 × 10^−3)−(6 × 10^−5)
Give your answer in standard form.
Answer:
answer is
[tex] {2.94 \times 10}^{ - 3} [/tex]
Step-by-step explanation:
3*1/1000-6*1/100000=0.003-0.00006
=
[tex] {2.94 \times 10}^{ - 3} [/tex]
Manuel gave the cashier $20 to pay for 3 bottles of hand sanitizer. The cashier gave him $8.03 in change. Each bottle cost the same amount.
Answer:
Each bottle cost $3.99.
Step-by-step explanation:
$20-$8.03=11.97
Each bottle = $11.97÷3
=$3.99
So now each bottle cost$3.99
The grid above shows the graph of the parent function f(x) = | x | and a translated functions graph.
Write the equation for the translated graph.
Please Hurry, I will give brainliest!
By using the principles of translation, the following equation can be derived for the graph of the translated text:
g(x) = |x + 2| + 1.
What is a translation?According to operations like multiplication or sum/subtraction either in its range (including values of y) or in its domain, a translation is represented by a change in the function graph (involving values of x).
Examples include shifts to the left, right, or bottom; compression or stretching along the vertical or horizontal axis; reflections across the x or y axes; and rotations of a degree measured around the origin.
From the graph, we have that the parent function was:
Shifted left 2 units, hence x -> x + 2.
Shifted up 1 unit, hence y -> y + 1.
Hence, considering the parent function f(x) = |x|, the equation for the translated graph is given by:
g(x) = |x + 2| + 1.
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Abby stacked two cube-shaped blocks, as shown below, and plans to paint the figure for an art project.
What is the surface area of the figure if s = 5 inches?
When Abby stacked two cube-shaped blocks, the surface area of the figure if s = 5 inches is 250 inches²
What is surface area?It should be noted that the surface area of a solid object is a measure of the total area that the surface of the object occupies.
Length (l) = 5 in
Width (w) = 5 in
Height (h) = 10 in
Surface area of figure
= 2 (lw+wh+hl)
= 2 (25 + 50 + 50)
= 2(125)
= 250
Therefore, when Abby stacked two cube-shaped blocks, the surface area of the figure if s = 5 inches is 250 inches²
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Triangle ABC with vertices A(–4, –4), B(–1, –2), C(3, –1) is rotated 180° about the origin. What are the coordinates of triangle A′B′C′?
Answer:
A(4, 4), B(1, 2), C(-3, 1)
Step-by-step explanation:
Because the triangle is rotated 180° about the origin you are just rotating it 2 quadrants, the size stays the same.
The rule for rotating 180° is if (x, y) is rotating 180° then the new position is (-x, -y).
So:
A(-4, -4), which then becomes B(-(-4), -(-4) ) = B(4, 4)
B(–1, –2) which becomes B(-(–1), –(-2) ) = B(1, 2)
C(3, –1) which becomes C(-3, –(-1) ) = C(-3, 1)
17 + x = 15
pls help
Answer:
x = -2
Step-by-step explanation:
The equation is,
→ 17 + x = 15
Now the value of x will be,
→ 17 + x = 15
→ x = 15 - 17
→ [ x = -2 ]
Hence, the value of x is -2.
Step-by-step explanation:
17+x=15
17+x-17=15-17
x=-2
What is the difference between 10 and 5 in variable and verbal expression
As a verbal expression, the difference between 10 and 5 is 5
What is the difference between 10 and 5 in variable and verbal expression?The numbers are given as
10 and 5
The difference between the numbers is calculated as
Difference = 10 - 5
Evaluate the difference
Difference = 5
The above represents the difference in variable
As a verbal expression, the difference between 10 and 5 is 5
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One number is 19 greater than the other, the sum of these numbers is 97. What is the greater number?
Answer:
Greater number = 58
Step-by-step explanation:
The equation is,
→ (x + 19) + x = 97
Now the value of x will be,
→ (x + 19) + x = 97
→ 2x = 97 - 19
→ x = 78/2
→ [ x = 39 ]
Then the greater number is,
→ x + 19
→ 39 + 19 = 58
Hence, the answer is 58.
Answer:
58
Step-by-step explanation:
first number=x
second number= x+19
x+x+19= 97
thus, the two numbers are 39 and
Christmas tree lights are used not only for christmas trees, but sometimes to decorate college dorm rooms. Suppose that a string has 20 light bulbs. These lights are all wired in series, so that if one light bulb fails, the whole string fails. The probability that any one light fails is 0. 2. Each of the individual lights are independent of each other. What is the probability that the string will not fail?.
If a string has 20 light bulbs and these lights are all wired in series, so that if one light bulb fails, the whole string fails and the probability that any one light fails is 0.2 and each of the individual lights are independent of each other, then the probability that the string will not fail is 0.0115.
Probability in mathematics deals with the likelihood of an event to take place.
The probability that the string will not fail refers to when all 20 bulbs will not fail. As given in the conditions, each of the individual lights are independent of the other. Therefore;
the probability that any one of the lights will not fail is:
1 - probability that any one light fails = 1 - 0.2 = 0.8
And we need all 20 to be complete. The unity of events is a product of probabilities. Therefore the probability that the string will not fail is:
P = 0.8^20
P = 0.0115
Hence 0.0115 is the probability that the string will not fail.
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A women bought some large frames for $19 each and some small frames for $7 each at a closeout sale. If she brought 19 frames for $205, find how many of each type she bought
Answer:
the one I have found that would is
13 small frames
6 big ones
Step-by-step explanation:
not gonna lie I used trial and error
so I went for example 19 x 10 = 190
205 - 190 = 15 and then 15 / 7
I did this until I got an whole number on the divide by seven bit
Solve the following system of equations. What is the x -coordinate of the solution?
y-3=x
y/x²-9}=1
The x-coordinate of the given equation is x=4.
What essentially is an equation?An equation is a mathematical statement composed of two representations joined by an equal sign.An example of an equation is 3x - 5 = 16.After solving this equation, we obtain the value for the variable x as x = 7.
So,
Given:
y-3 = x ...(1)y/x²-9 = 1 ...(2)Then,
y = x+3Substitute y=x+3 in equation (2):
y/x²-9 = 1 x+3/x²-9 = 1 x+3/x²-3² = 1 1/x-3=1(Cross multiply)
x-3=1x=1+3x=4Therefore, the x-coordinate of the given equation is x=4.
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Find the compound interest and the amount after twelve seconds if the interest is compounded
every three seconds.
Principal 20,000
Rate of interest = 800% per minute
=
Total amount =
Compound interest =
well, we know the rate is compounding at 800% per minute.
the elapsed time will be 12 seconds, and since a minute has 60 seconds, that'd be 12/60 minutes.
the compounding period is 3 seconds, and since a minute has 60 seconds, that means is compounds 60/3 times, or namely 20 times.
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$20000\\ r=rate\to 800\%\to \frac{800}{100}\dotfill &8\\ n= \begin{array}{llll} \textit{times it compounds per minute}\\ \textit{twenty times} \end{array}\dotfill &20\\ t=minutes\to \frac{12}{60}\dotfill &\frac{1}{5} \end{cases}[/tex]
[tex]A=20000\left(1+\frac{8}{20}\right)^{20\cdot \frac{1}{5}} \implies A =20000(1.4)^4\implies A=76832[/tex]
28:49 ratio in simplest form
Answer:
4:7
Step-by-step explanation:
thats the answer mate
Answer:
4 : 7
Step-by-step explanation:
28 : 49 ← divide both parts by 7
= 4 : 7 ← in simplest form
the ratio is in simplest form when no other value but 1 divides into the 2 parts of the ratio.
Write each equation in logarithmic form. 64=4³
The equation in logarithmic form is log₄(64) = 3
Given the equation is:
64 = 4³
The fundamental logarithmic function has the notation f(x) = log(r) y = log(x), where a > 0. The exponential function a y = x's inverse is represented by this. The common logarithm (log) or natural logarithm (ln) are examples of log functions (log).
Convert the exponential equation to a logarithmic equation using the logarithm base (10)of the right side (0.01) equals the exponent (−2).
A popular method for changing a mathematical equation from one form to another is to transform it from exponential to log form. The exponential form an x = N is translated into the logarithmic form
Log aⁿ= x.The exponent of x, which is equal to N, has the exponential form a to it is converted to the logarithm of a number N to the base of a, which is equal to x.
log₄(64) = 3
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Lisa has a button collection and decided to measure her 12 favorite buttons to the nearest 1/8 inch. Her results are shown in the line plot below.
(look at photo attached)
If she took one of her smallest buttons, one of her largest buttons, and one of her most common-sized buttons and laid them side-by-side, what would be their combined length?
Answer:
2 3/4
Step-by-step explanation:
the Smallest is 1/2
the biggest is 1 1/2
the most common is 3/4
Adding them all up will give you 2 3/4 or 11/4
Answer:
2[tex]\frac{3}{4}[/tex]
Step-by-step explanation:
the smallest button is [tex]\frac{1}{2}[/tex]
the most common button is [tex]\frac{3}{4}[/tex]
the largest button is 1 [tex]\frac{1}{2}[/tex]
add these buttons together
[tex]\frac{1}{2} + \frac{3}{4} + 1 \frac{1}{2} =[/tex]
find the LCD of the denominators
factors of 2: 2, 4, 6, 8, 10
factors of 4: 4, 8, 12, 16, 20
find the factor that is the same in the two rows
factors of 2: 2, 4, 6, 8, 10
factors of 4: 4, 8, 12, 16, 20
2*2 = 4
[tex]\frac{1}{2}[/tex]· 2 = [tex]\frac{2}{4}[/tex]
[tex]\frac{2}{4} + \frac{3}{4} + 1 \frac{2}{4} =[/tex]
1[tex]\frac{7}{4}[/tex]
[tex]\frac{7}{4} = 1 \frac{3}{4}[/tex] + 1
2[tex]\frac{3}{4}[/tex]
ײ + 5× - 11 + 3ײ - 11 × + 2
hello guys please solve and give a solution tthankyou
Step-by-step explanation:
start by collecting like terms
4x² - 6x -9
use quadratic equation, a=4, b= 6 and 9 = c.
x = 5,78 or x = -4,28
Find the domain, points of discontinuity, and x - and y - intercepts of each rational function. Determine whether the discontinuities are removable or non-removable. y=3x-3 / x²-1
The domain of given points are :
IR x ≠ ±1
Points of discontinuity - x = -1 ( non removable / asymptote )
x = 1 ( removable / hole)
x - intercept = 1 , y - intercept = 3
What is rational functions ?Any function that can be expressed as a polynomial divided by a polynomial is said to be rational. The domain of a rational function is the set of all numbers except the zeros of the denominator since polynomials are defined everywhere. First example: f(x) = x/ (x - 3).
CALCULATIONy=3x-3 / x²-1
= 3(x-1)/(x+1)(x-1)
The domain of given points are :
IR x ≠ ±1
Points of discontinuity - x = -1 ( non removable / asymptote)
x = 1( removable / hole)
x-intercept :
3(x-1)=0
3x-3=0
x=1
y - intercept :
3(0-1)/(0+1)(0-1)=3
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Identify the number types that describe 7 squared
The square root value of 7 is 2.645.
Irrational number
All real numbers that are not rational are considered irrational numbers. In other words, it is impossible to describe an irrational number as the ratio of two integers.
Any square root number that cannot be represented as a fraction [tex]\frac{P}{Q}[/tex] for any integer p and q is said to be irrational.
A real number that cannot be expressed as a straight forward fraction is referred to as an irrational number. It cannot be described using a ratio. When p and q are integers and q is not equal to 0, N is not equal to [tex]\frac{P}{Q}[/tex] if N is irrational.
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Carl works at a bicycle shop he earns eight dollars for each bicycle tire he repairs and $45 Dollars each week for cleaning the shop which expression shows how much Carl’s earn each week if he repaired X bicycle tires
10)110
help me please
Answer:
If it is a division problem, then it is 11.
If it is a multiplication problem then it is 1100.
But it looks like division, so probably 11.
Answer:
011
Step-by-step explanation:
0 1 1
--------------------------------
1 /
0 1 1 0
− 0
1 1
− 1 0
1 0
− 1 0
0
Identify each of the following anglemeasures as acute, right, obtuse, straight, or reflex 35° 91° 65° 28°
The angles 35° 65° and 28° are acute angles and the angle 91° is an obtuse angle
How to identify each of the angle measures?The angle measures are given as:
35° 91° 65° 28°
As a general rule:
Angles that are less than 90 degrees are acute angles
This means that
The angles 35° 65° and 28° are acute angles
Also, we have
Angles that are between 90 degrees and 180 degrees are obtuse angles
This means that
The angle 91° is an obtuse angle
Hence, the angles 35° 65° and 28° are acute angles and the angle 91° is an obtuse angle
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Complete the identities.
csc θ =1/?
Answer:
? = sin θ
Step-by-step explanation:
csc θ =1/?
csc θ =1/sin θ