Answer:
I believe A is the correct answer.
Step-by-step explanation:
Find the measure of 4
its 90 degree because
∠2 and ∠4 are vertical angles. Their measures are equal, so m∠4 = 90 .
∠3 and ∠4 form a straight angle, so∠4=120°.
angle four measures 45°
Answer:
147°
Step-by-step explanation:
∠4 and 33° are unilateral angles (the sum of them is equal to 180°)
\(∠4 = 180° - 33° = 147°\)
A square has sides of 7.5 cm, measured correctly to 1 d. p.
What are the upper and lower bounds for the length of the sides?
Lower bound
cm
Upper bound
cm
What are the lower and upper bounds for the area of the square?
Round your answers to 1 d. p.
Lower bound
cm
Upper bound
cm
Answer:
1.45cm
Step-by-step explanation:
I just added
A square of the length of the sides are:
The upper bound is 7.6.
The lower bound is 7.4
The area of the square:
The value of upper bound is :
\(7.6^2 = 54.76 cm^2\)
The value of lower bound is:
\(7.4^2= 57.76cm^2\)
We have the following information from the question is:
A square has sides of 7.5 cm, measured correctly to 1 d. p.
We have to calculate the Upper and lower bounds for the length of the sides.
and, the lower and upper bounds for the area of the square.
Now, According to the question:
1 d. p. = 1 decimal place.
A square has side is 7.5 cm
The upper bound is going to be 7.5 plus . 1, which would be 7.6.
The lower bound is going to be 7.5 minus . 1, which is going to be 7.4
Now, The lower and upper bounds for the area of the square is:
We know the
area of square = side^2
So, the value of upper bound is 7.6
\(7.6^2 = 54.76 cm^2\)
Similarly, The value of lower bound is:
\(7.4^2= 57.76cm^2\)
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mai mixed a batch of pink paint using 5 cups of red paint and 3 cups of white paint.
priya mixed another batch of pink paint using 7 cups of red paint and 4 cups of white paint
are the 2 batches the same shade of pink??
Answer:
no they are not
Step-by-step explanation:
priyas paint would be darker then mais paint because priya added an extra cup of red paint.
12 is at most a number decrease by 7 write an inequality to solve.
Thank you
Answer:
Let x be the number we are looking for.
We know that 12 is at most a number decreased by 7, which can be written as:
x - 7 >= 12
To solve for x, we add 7 to both sides of the inequality:
x - 7 + 7 >= 12 + 7
Simplifying, we get:
x >= 19
Therefore, the solution to the inequality is x >= 19.
The answer is:
19 ≤ wWork/explanation:
Let w be the number. Now, let's write an inequality to solve for w.
Let's focus on the part that says "at most a number". At most means that the number can't be greater than something, it can only be less than. So the symbol for "at most" is ≤, which also means "less than".
Now, decreased by 7 means we subtract 7 from w.
With all this information, we are ready to write the inequality.
The inequality is:
\(\sf{12\leqslant w-7}\)
Now, let's solve it for w.
_________________________
Add 7 on each side
\(\sf{12+7\leqslant w}\)
\(\sf{19\leqslant w}\)
Hence, the answer is 19 ≤ w.2. Increasing the minimum wage has not traditionally caused massive unemployment though traditional economists have argued that it should. Why have changes to minimum wage not affected unemployment too much?
3. The US has one of the lowest federal minimum wages compared to other developed nations. Can you think of reasons why this might be?
4. The real minimum wage has fallen over time with the rise of inflation. This represents less purchasing power for minimum wage workers. Are you ok with that? Why or why not? How many people actually earn at or near minimum wage?
Despite traditional economic theory suggesting that an increase in the minimum wage should lead to unemployment, the actual impact on employment has been more nuanced. Empirical evidence suggests that moderate increases in the minimum wage have not led to massive job losses, but rather have resulted in small increases in labor costs that are offset by increased productivity and reduced employee turnover. Additionally, higher wages can increase consumer spending, leading to an increase in demand for goods and services, which can ultimately create more jobs.
There are several reasons why the federal minimum wage in the US is lower than in other developed countries. One reason is the political climate in the US, where there is often resistance to government intervention in the labor market. Additionally, many US states have their own minimum wage laws, which can be higher than the federal minimum wage. Finally, the US has a large low-skilled immigrant workforce, which can put downward pressure on wages.
I am not okay with the real minimum wage falling over time with the rise of inflation. Inflation erodes the purchasing power of workers, making it difficult for them to make ends meet. This can lead to increased financial hardship, which can have negative effects on individuals and families. Furthermore, the minimum wage was originally designed to ensure that workers earn a living wage, which is a basic necessity for a decent standard of living. As such, it is important that the minimum wage keep pace with inflation.
According to the Bureau of Labor Statistics, in 2021, about 1.9 million workers in the US earned at or below the federal minimum wage of $7.25 per hour. However, many more workers earn slightly above the minimum wage, and an increase in the minimum wage could potentially raise wages for those workers as well. Additionally, many states have higher minimum wage rates than the federal minimum wage, which means that the number of workers affected by changes to the minimum wage will vary depending on the state.
~~~Harsha~~~
Parmesan cheese was on sale for $13.60 per pound. Wesley bought a piece of parmesan cheese that weighed 1 ⅛ pounds
how much did he pay and if you can explain
Answer:
Step-by-step explanation:
Given Parmesan cheese was on sale for $13.60 per pound
Welsey bought a piece of the parmesan cheese that weighted \frac{11}{8} pounds
we need to spend$13.60 for 1 pound
for 11/8 pound
11/8 x 13.60= 18.72
So Wesley need to spend $18.70 to get the Parmesan cheese.
An artist's canvas has sides measuring 3x + 5 and 2x + 1 inches.
What is the area of the canvas? Show all work.
The artist laid the canvas flat on the floor and poured some paint in the center. The paint flows at a rate of r(t) = 2t where t represents time in minutes and r represents how far the paint is spreading on the canvas. The area of the paint can be expressed as A[r(t)]= rur?. What is the area of the circle created by the paint?
If the artist wants the circle to be at least 300 in?, will it be that large in 5 minutes? Support your answer with your work.
The area of the circle created by the paint is given by the expression 4πt².
The area of the circle is 100π, which is approximately 314.16 in².
The circle will be at least 300 in² in 5 minutes. Yes.
To find the area of the canvas, we multiply the lengths of its sides:
Area = (3x + 5) × (2x + 1)
Expanding the expression:
Area = 6x² + 3x + 10x + 5
Combining like terms:
Area = 6x² + 13x + 5
The area of the canvas is given by the expression 6x² + 13x + 5.
Now, let's find the area of the circle created by the paint.
The area of a circle is given by the formula A = πr², where r represents the radius.
The radius is given by the spreading of paint, which is r(t) = 2t.
Substituting the value of r(t) into the formula, we have:
A[r(t)] = π(2t)²
Simplifying:
A[r(t)] = π(4t²)
A[r(t)] = 4πt²
Now, let's determine if the area of the circle will be at least 300 in² in 5 minutes.
Substitute t = 5 into the area formula:
A[r(5)] = 4π(5)²
A[r(5)] = 4π(25)
A[r(5)] = 100π
Since 314.16 in² is larger than 300 in², the circle created by the paint will be larger than 300 in² in 5 minutes.
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What is the slope of the line that passes through
the points (-5,0) and (-8, -4)?
Answer:
4/3
Step-by-step explanation:
Answer: 4/3
Step-by-step explanation:
for each parallel lines. you are given the measure of one angle
Answer:
The question is not complete
For this item, complete the choice matrix by clicking the appropriate answer in each row.
Determine whether each unit rate is equivalent or not equivalent to
Equivalent
Not Equivalent
the unit rate, in inches per year, of growing inch in Ğ of a year
the unit rate, in lessons per hour, of finishing of a lesson in hours
the unit rate, in miles per hour, of jogging 1/8 mile in 3/8 hour
Step-by-step explanation:
1/2 inch in 2/3 of a year
1/2 / 2/3 = 1/2 × 3/2 = 3/4
NOT equivalent.
4/9 lesson in 4/3 of an hour
4/9 / 4/3 = 4/9 × 3/4 = 12/36 = 1/3
Equivalent.
1/8 mile in 3/8 of an hour.
1/8 / 3/8 = 1/8 × 8/3 = 8/24 = 1/3
Equivalent.
Help me with this please
Answer:
Your answer will be B. A town's population grows at a rate of 7.2% every year.
Step-by-step explanation:
Pls give me brainliest thx
4. Calculate the Social Security and Medicare tax that would be applied to an annual salary of $56,400.
Answer:759
Step-by-step explanation:
Median weekly earnings for women with some college for an associate degree. 1980.......$231 2013.............$657 Using today's dollars, the data in the bar graph can be described by the mathematical model W = 13n + 231, Where W represents median weekly earnings n years after 1980. Does the formula underestimate or overestimate the median weekly earnings in 2013? By how much?
Using the linear function given in this problem, the formula underestimates the median weekly earnings in 2013 by $3, as 657 < 660.
What is the linear function?The function that estimates the median weekly earnings n years after 1980 is:
W = 13n + 231.
2013 is 2013-1980 = 33 years after 2000, hence the estimate is given by W when n = 33, that is:
W = 13 x 33 + 231 = 660.
657 < 660, hence the formula underestimates the median weekly earnings in 2013 by $3.
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One factor of the function f(x) = x ^ 3 - 8x ^ 2 + 17x - 10.5(x - 5) Describe how to find the x-intercepts and the y-intercept of the graph of f(x) without using technologyShow your work and include all intercepts in your answer.
Answer:
x-intercept(s): (−1.9900717, 0)
y-intercept(s): (0, 52.5)
Step-by-step explanation:
To find the x-intercept, substitute in \(0\) for \(y\) and solve for \(x\). To find the y-intercept, substitute in \(0\) for \(x\) and solve for \(y\) .
\(f(x)=y\)
\((x)=x\)
x-intercept
To find the x-intercept(s), substitute in \(0\) for \(y\) and solve for \(x\) .
\(f(x) = x ^ 3 - 8x ^ 2 + 17x - 10.5(x - 5\)
\(=\bold{0}=x^3-8x^2+17x-10.5\left(x-5\right)\)
\(=0\cdot \:10=x^3\cdot \:10-8x^2\cdot \:10+17x\cdot \:10-10.5\left(x-5\right)\cdot \:10\)
\(=0=10x^3-80x^2+170x-105\left(x-5\right)\)
\(=0=10x^3-80x^2+65x+525\)
\(=10x^3-80x^2+65x+525=0\)
\(=10x^2-99.90071\dots x+263.80959\dots \approx \:0\)
\(\bold{x\approx \:-1.99007\dots}\)
y-intercept
\(f(x) = x ^ 3 - 8x ^ 2 + 17x - 10.5(x - 5\)
\(=y=\bold{0}^3-8(\bold{0})^2+17(\bold{0})-10.5\left(\bold{0}-5\right)\)
\(=y=0-8\cdot \:0+17\left(0\right)-10.5\left(0-5\right)\)
\(=y=0-8\cdot \:0+17\cdot \:0-10.5\left(0-5\right)\)
\(=y=0-0+0-\left(-52.5\right)\)
\(=0-0+0+52.5\)
\(\bold{y=52.5}\)
What is the probability of rolling a 4 twice with two rolls of a number cube?
Answer:
1/36
Step-by-step explanation:
(1/6)(1/6)
A high school is voting on a new mascot. Lion Eagle Bee Ninth Grade 45% 32% 23% Tenth Grade 36% 40% 24% Eleventh Grade 50% 28% 22% Twelfth Grade 40% 25% 35% Match the two-way table to the segmented bar graph.
The steps to create a bar graph are explained below.
To match the two-way table to the segmented bar graph, we need to create a segmented bar graph that represents the data in the table. The table shows the percentage of students in each grade who voted for each mascot option.
Here is how we can match the two-way table to the segmented bar graph:
For the Lion mascot option, the segmented bar graph would have the largest segment for 11th grade, followed by 9th grade, 10th grade, and 12th grade.For the Eagle mascot option, the segmented bar graph would have the largest segment for 10th grade, followed by 11th grade, 9th grade, and 12th grade.For the Bee mascot option, the segmented bar graph would have the largest segment for 12th grade, followed by 9th grade, 10th grade, and 11th grade.By creating a segmented bar graph that represents the data in the two-way table, we can visually compare the percentage of students who voted for each mascot option across different grade levels.
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In centimeters, what is the circumference of a circle with a radius of 6cm?
Answer:
C = 37.68
Step-by-step explanation:
Circumference of a circle:
C = 2πr
C = 2(3.14)(6)
C = 6.28(6)
C = 37.68
What is the domain and range ?
Answer:
Domain: [1,∞), {x|x≥1}
Range: (−∞,∞), {y|y∈ℝ}
Step-by-step explanation:
The equation of that line is \(y^{2}=x-1\), and the domain and range of \(y^{2}=x-1\) is:
Domain: [1,∞), {x|x≥1}
Range: (−∞,∞), {y|y∈ℝ}
Hope this helps! :)
Cole is 6 years older than Ryan. The sum of their ages is 84. How old is Cole
Answer:
It will be 78
Step-by-step explanation:
Because if you do 84 minus 6 you get 78
Can someone help me with this pleasee here is the picture
The system of equations as an augmented matrix is \(\left[\begin{array}{ccc|c}1&0&0&100\\0&-5&-7&350\\0&-5&-9&200\end{array}\right]\)
Writing the system of equations as an augmented matrixFrom the question, we have the following parameters that can be used in our computation:
x = 100
-5m - 7c = 350
-5m - 9c = 200
The above means that the variables in the system of equations are
x, m and c
So, we have the following representation
x m c
1 0 0 100
0 -5 -7 350
0 -5 -9 200
When represented as an augmented matrix, we have
\(\left[\begin{array}{ccc|c}1&0&0&100\\0&-5&-7&350\\0&-5&-9&200\end{array}\right]\)
Hence, the augmented matrix is \(\left[\begin{array}{ccc|c}1&0&0&100\\0&-5&-7&350\\0&-5&-9&200\end{array}\right]\)
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find the rate of change.
Answer:
-1/2
Step-by-step explanation:
take the change in y and divide by the change in x: (4 / -2)
Answer: Ig
Step-by-step explanation:
To write a linear expression in standard form, rearrange the terms in alphabetical order.
Planes T and X are parallel. Plane T contains line a. Plane X contains line b.
Planes T and X are parallel. Plane T contains line a and plane X contains line b.
Which best explains the relationship between lines a and b?
As you wake up to get your day started, you decide to make muffins for breakfast. The recipe you are
using makes 2 dozen muffins and calls for 3 cups of flour and 1 cup of sugar. You decide to only make
18 muffins. How many cups of flour and sugar will you need for your recipe?
The above problem can easily be solved using a proportion. Show your work
Answer:
4 cups of flour is needed and 4/3 cups of sugar
Step-by-step explanation:
Given
2 dozen Muffins; 3 cups of flour and 1 cup of sugar
Required
Determine the cups of flour if 18 muffins is used
First, we have to determine the proportion of the number of muffins used previously and now;
Represent this with p;
\(p = \frac{2\ dozen}{18}\)
\(p = \frac{2 * 12}{18}\)
\(p = \frac{24}{18}\)
\(p = \frac{4}{3}\)
Multiply this to the previous cups of flours and sugars;
Cups of flour = p * previous cups of flour
\(Cups\ of\ flour = \frac{4}{3} * 3\)
\(Cups\ of\ flour = 4\)
Cups of Sugar = p * previous cups of sugar
\(Cups\ of\ sugar= \frac{4}{3} * 1\)
\(Cups\ of\ sugar= \frac{4}{3}\)
Hence, 4 cups of flour is needed and 4/3 cups of sugar
The area of rectangle is 105cm².If it length is 21 cm,what is its length and perimeter.
Answer:
length of other side is 5cm and the perimeter is 52
Step-by-step explanation:
The area is side x times side y.
Knowing that the area A is 105cm2 and side x is 21cm
A= x*y
105cm2= 21 y /21
Arranging for y we get
y= 105/21
y= 5 cm
The perimeter is all sides added up
P= 21+21+5+5=52cm
Answer:
length 5cm and perimeter 52 cm
Step-by-step explanation:
length=area/breadth
=105/21
=5 cm
perimeter=2(length+breadth)
=2(5+21)
=52 cm
2 3/5 ÷ 2/7
9 1/10
26/35
6/35
4 1/10
choose one please
Answer:
The answer is 91/10
Step-by-step explanation:
hope this helps
Solutions:
2 3/5÷2/7
13/5÷2/7
13/5×7/2
=13×7=91
=5×2=10
That's why the answer is 91/10
Olivia invested $2,400 in an account paying an interest rate of 4.6\% compounded continuously. Assuming no deposits or withdrawals are made, how long would it take, to the nearest tenth of a year, for the value of the account to reach $3,550 ?
Answer:
8.5
Step-by-step explanation:
For continuous compounding, the account value formula is ...
A = Pe^(rt)
where P is the invested amount, r is the annual interest rate, and t is the number of years. We want to find t when ...
3550 = 2400e^(.046t)
ln(355/240) = 0.046t
t = ln(355/240)/0.046 ≈ 8.5
It will take 8.5 years for the value to reach $3550.
The sector of a circle has an area of 104pi/9
square inches and a central angle with measure 65 degree
. What is the radius of the circle, in inches?
Answer:
Given:
Area of the sector (A) = 104π/9 square inches
Central angle (θ) = 65 degrees
The formula for the area of a sector of a circle is:
A = (θ/360) * π * r^2
We can rearrange this formula to solve for the radius (r):
r^2 = (A * 360) / (θ * π)
Plugging in the given values:
r^2 = (104π/9 * 360) / (65 * π)
r^2 = (104 * 40) / 9
r^2 = 4160 / 9
r^2 ≈ 462.22
Taking the square root of both sides:
r ≈ √462.22
r ≈ 21.49
Therefore, the radius of the circle is approximately 21.49 inches.
Answer: 8 inches
Step-by-step explanation:
what is the property of 3x(5x7)=(3x5)7
The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.
In the equation you provided: 3x(5x7) = (3x5)7
The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.
i am confused on finding the answer i have tried a few times and i do not understand
Answer:
Volume = 7.912
Step-by-step explanation:
V = πr²h
V = 3.14 × 3/4 × 3/4 × 6 3/4 ( π = 22/7 or 3.14 )
V = 3.14 × 9/16 ×18/4
V = 3.14 × 0.56 × 4.5
V = 7.912
Question 4
What is the solution of the equation? Prove your answer to be correct.
1/3(6z + 7.2) = 0.5(8z + 2) - 0.4
a. z = 0.8
b. z = 0.9
c. Z = 2.8
d. z = 3.6
The value of z in the equation 1/3(6z + 7.2) = 0.5(8z + 2) - 0.4 is z=0.9
How to solve the equation?
Remove parentheses from each side of the equation and combine similar phrases to make it simpler.To separate the variable term on one side of the equation, use addition or subtraction.To find the variable, use division or multiplication.The algebraic expression should often take one of the following forms: addition, subtraction, multiplication, or division.Bring the variable to the left and the remaining values to the right to determine the value of x. To determine the outcome, simplify the values.1/3(6z + 7.2) = 0.5(8z +2) -0.4
(6/3)z + 7.2/3 = (8/2)z + 2/2 - 0.4
2z + 2.4 = 4z + 1 - 0.4
2z - 4z = 0.6 - 2.4
-2z = -1.8
z= 0.9
Hence, the value of z in the equation 1/3(6z + 7.2) = 0.5(8z + 2) - 0.4 is z=0.9
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