Say whether each of these numbers is a fraction, a decimal, or a whole number: ⅗, 18.2, 47!
Answer:
Fraction, decimal, whole number
Step-by-step explanation:
if it has a line, it's a fraction. If it has a dot, it's a decimal. If it has none of the above, it's a whole number
Jeongin kicks a stone off the edge of a tall cliff. The distance, d, between the rock and the ground t seconds after being kicked is d = -16t² -6t +480. How many seconds go by before the rock is at height of 424 feet above the ground?
mkay so I tried to solve it, but the factoring seems really off when I tried to find t. Is it really solvable or am I missing something? help would be appreciated thank youu :)
Answer:
1.693 secondsStep-by-step explanation:
Given function
d(t) = -16t² -6t +480Find t, when d = 424Solution
-16t² -6t +480 = 424-16t² -6t +480 - 424 = 0-16t² -6t + 56 = 08t² +3 t - 28= 0t = (- 3± √3² -4*8*(-28))/16t = (-3±√905)/16t = 1.693 seconds (positive solution)(1 ÷ 2 3 ⁄ 4 ) + (1 ÷ 3 1 ⁄ 2 ) = _____.
Answer:
50/77
Step-by-step explanation:
(1÷2 3/4)+(1÷3 1/2)
2 3/4 is same as 11/44
1/2 is same as 7/2
so to divide fraction you have to flip the second number and multiply
so 1 times 4/11=4/11
and 1 times 2/7=2/7
4/11 +2/7=28/77+22/77=50/77
On what interval is the function f(x) = -2|x + 1| − 3 decreasing?
A. (-1, ∞)
B. (-3, ∞)
C. (-∞, -1)
D. (-∞, -3)
Answer:
answer is b iam sure this is correct
Answer:
the answer is a
Find the area of the polygon with the given vertices.
E(3, 1), F(3,-2), G(-2,-2)
What’s the answer
Answer:
7.5 units²
Step-by-step explanation:
½x5x3=7.5 units²
I drew it out on a piece of graph paper to confirm.
A Naval Carrier dropped anchor off the coast. The massive anchor drops at 3.5 m/s and will be 52.5 meters under the surface of the water after 20 seconds.
How high above the surface of the water does the anchor begin to drop? Round to the nearest meter.
The height the anchor begins to drop is 17.5 m
How to find how high above the surface of the water does the anchor begin to drop?Since a Naval Carrier dropped anchor off the coast. The massive anchor drops at 3.5 m/s and will be 52.5 meters under the surface of the water after 20 seconds.
Let
h = the height the anchor begins to drops, h' = height of anchor below water surface = 52.5 mThe total height the anchor drops is thus H = h + h'
Now, the total height the anchor drops H = vt where
v = speed of anchor = 3.5 m/s and t = time anchor drops = 20 sSo, equating both equations, we have
vt = h + h'
Making h subject of the formula, we have that
h = vt - h'
Given that
v = 3.5 m/s, t = 20 s and h' 52.5 mSubstituting the values of the variables into the equation, we have that
h = vt - h'
h = 3.5 m/s × 20 s - 52.5 m
h = 70 m - 52.5 m
h = 17.5 m
So, the anchor drops 17.5 m
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face north. do a 1/4 turn clockwise which way will i be facing
Answer:
You will be facing in a 90 degree angle.
Step-by-step explanation:
Did you mean like on a compass?
Answer:
East
Step-by-step explanation:
Please help!!! Angles!
Answer:
m∠JKM = 63°
m∠MKL = 27°
Step-by-step explanation:
Since ∠JKL is a right angle. This means that by summing up both m∠JKM and m∠MKL will result in the same as ∠JKL figure. Thus, m∠JKM + m∠MKL = m∠JKL which is 90° by a right angle definition.
\(\displaystyle{\left(12x+3\right)+\left(6x-3\right) = 90}\)
Solve the equation for x:
\(\displaystyle{12x+3+6x-3 = 90}\\\\\displaystyle{18x=90}\\\\\displaystyle{x=5}\)
We know that x = 5. Next, we are going to substitute x = 5 in m∠JKM and m∠MKL. Thus,
m∠JKM = 12(5) + 3 = 60 - 3 = 63°
m∠MKL = 6(5) - 3 = 30 - 3 = 27°
PLZZZZZZZZZZZZ help asap thank you no links thank you .
Answer:
Answer is 969
Step-by-step explanation:
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Solve algebraically for x:
3600 + 1.02x < 2000 + 1.04x
Answer:
\(x < 80000\)
Step-by-step explanation:
\(3600 + 1.02x < 2000 + 1.04x \\ \frac{ \: \: \: \: \: \: \: \: \: \: \: \: - 1.04x < \: \: \: \: \: \: \: \: \: \: \: \: \: - 1.04x}{3600 - 0.02x < 2000} \\ \\ 3600 - 0.02x < 2000 \\ \frac{ - 3600 \: \: \: \: \: \: \: \: \: < - 3600}{ - 0.02x < - 1600} \\ \\ \frac{ - 0.02x}{ - 0.02} < \frac{ - 1600}{ - 0.02} \\ \\ x < 80000\)
Please solve this problem by factoring
Answer:
x=5
Step-by-step explanation:
Answer:
x is equal to 5
Step-by-step explanation:
\(\frac{5}{2x - 2} =\frac{15}{x^2 - 1} \\\\\frac{5}{2(x - 1)} =\frac{15}{(x + 1)(x - 1)} \\\\\frac{5}{2} =\frac{15}{(x + 1)} \\\\\frac{1}{2} =\frac{3}{(x + 1)} \\\\x + 1 = 6\\\\x = 5\)
Need Help here Please!
Answer:
Step-by-step explanation:
To solve the given equation \(\sf x - y = 4 \\\), we can perform the following calculations:
a) To find the value of \(\sf 3(x - y) \\\):
\(\sf 3(x - y) = 3 \cdot 4 = 12 \\\)
b) To find the value of \(\sf 6x - 6y \\\):
\(\sf 6x - 6y = 6(x - y) = 6 \cdot 4 = 24 \\\)
c) To find the value of \(\sf y - x \\\):
\(\sf y - x = - (x - y) = -4 \\\)
Therefore:
a) The value of \(\sf 3(x - y) \\\) is 12.
b) The value of \(\sf 6x - 6y \\\) is 24.
c) The value of \(\sf y - x \\\) is -4.
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
What is the first step in solving the equation 4.2 y minus 5.2 = 18.5?
Add 5.2 to each side of the equation.
Subtract 5.2 from each side of the equation.
Multiply each side of the equation by 4.2.
Divide each side of the equation by 5.2.
Answer: The first step is to add 5.2 to both sides.
Answer:
add 5.2 to each side of the equation.
Step-by-step explanation:
i did it on edge2020
annie measured a city park and made a scale drawing. the scale of the drawing was 1 millimeter : 4 meters. the soccer field is 28 millimeters long in the drawing. how long is the actual field?
Answer:
Step-by-step explanation:
34 millimeter
A number increased by negative fifteen is less than twenty eight
Just finding the area!
Answer:
160yds²
Step-by-step explanation:
A = ((a + b) ÷ 2) × h
A = ((19 + 13) ÷ 2) × 10 = 160
good luck, i hope this helps :)
HOW DO YOU WRITE THIS IN A SYSTEM OF EQUATIONS?
Answer:
2x+105=-3x+130
Determine the value of x
Answer:
X=12
Step-by-step explanation:
70+25+9x-23=180°
95+9x-23=180°
9x+72=180°
9x=180°-72
9x=108°
x=12.
calculate the coefficient of variation for a sample of cereal boxes with a mean weight of 340 grams and a standard deviation of 5.2 grams.? 0.15% A
1.53% B
15.29% C
0.65% D
The coefficient of variation (CV) is a measure of relative variability and is calculated by dividing the standard deviation by the mean, and then multiplying by 100 to express it as a percentage.
In this case, the mean weight is 340 grams, and the standard deviation is 5.2 grams.
CV = (Standard Deviation / Mean) * 100
CV = (5.2 / 340) * 100
CV ≈ 1.53%
Therefore, the correct answer is option B: 1.53%.
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A3: Suppose that you are currently earning £20 per hour wage rate for the first 8 hours and £35 per hour for anything more than 8 hours of work. You have a new job offer that pays £25 per hour flat rate. Assuming you work 12 hours per day for both
jobs, will you accept the new job? Why? Explain it using a diagram.
If you work 12 hours per day, the total earnings under your current wage structure would be:
8 hours * £20 per hour + 4 hours * £35 per hour = £160 + £140 = £300
Under the new job offer with a flat rate of £25 per hour, your total earnings would be:
12 hours * £25 per hour = £300
Therefore, both job options would result in the same total earnings of £300 per day.
The first 8 hours of work in your current job pay £20 per hour, while the remaining 4 hours pay £35 per hour. This means that the additional 4 hours you work beyond the initial 8 hours in your current job are compensated at a higher rate. However, since the new job offers a flat rate of £25 per hour for all 12 hours of work, the total earnings for both options become equal.
In this scenario, the decision between the two job offers would not be solely based on the wage rate but could consider other factors such as job stability, benefits, work environment, career prospects, and personal preferences.
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What is the greatest factor of 2 + 12x????? Plssss answerrrr
f(x)=2x^2-5x-3 g(x)=2x^2+5x+2 find (f/g)(x)
If f(x)=2x²-5x-3 g(x)=2x²+5x+2 then (f/g)(x) = (x - 3) / (x + 2).
What is function?
In mathematics, a function is a relationship between two sets of elements, called the domain and the range, such that each element in the domain is associated with a unique element in the range.
To find (f/g)(x), we need to divide f(x) by g(x) as follows:
f(x) = 2x² - 5x - 3
g(x) = 2x² + 5x + 2
f(x) / g(x) = (2x² - 5x - 3) / (2x² + 5x + 2)
To simplify this expression, we can factor the numerator and denominator:
f(x) / g(x) = [(2x + 1)(x - 3)] / [(2x + 1)(x + 2)]
Now, we can cancel out the common factor of (2x + 1) from both the numerator and denominator:
f(x) / g(x) = (x - 3) / (x + 2)
Therefore, (f/g)(x) = (x - 3) / (x + 2).
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Line t has an equation of y=10x-8. Line u is perpendicular to line t and passes through (-10,-6). What is the equation of line u?
Answer: y=\(-\frac{1}{10} x-7\)
Step-by-step explanation: The slope of a perpendicular line is always negative and the reciprocal (opposite fraction) of the regular slope so the slope would be \(-\frac{1}{10}\). If the line passes through (-10,-6) then the y intercept would be (0,-7) because every time x goes 10 right y goes down 1 because of the slope.
(X^2+y^2-1)^3=x^2y^3 Write the mapping notation to transform the parent function then describe the transformations made to the parent function.
The relation's graph can be seen in the graphic at the bottom, where it is clear that it is function.
How to determine if the relation is a function?The actual function can be specified using this "mapping" notation. Writing f:(x,y)x+y would allow us to define the above f(x, y). Real numbers are referred to as scalars to distinguish them from vectors. Each input is translated into a single output in a relation known as a function (input, output).
The horizontal axis is used for inputs, and the vertical axis is used for outputs. Here, we have the relationship shown below:
(-5,-1), (-4,1), (-3,3), (-1,5), (1,7) (1,7)
The figure below shows the graph of these points. Since there are no two points on the same vertical line, the relation is a function, as you can see.
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Construct ∠Y so that ∠Y ≅ ∠Z.
The angle ∠Y so that ∠Y ≅ ∠Z is added as an attachment
How to construct the angleFrom the question, we have the following parameters that can be used in our computation:
Construct ∠Y so that ∠Y ≅ ∠Z.
There are several ways to do this, some of them are:
Construct an isosceles triangle and name the base angles Y and ZConstruct a rectangle or a square and name any of the vertices Y and ZThe above statements are true because the base angles of an isosceles triangle are congruent and all angles in a rectangle/square are congruent
See attachment
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at a certain high school, the distribution of backpack weight is approximately normal with a mean of 19.7 pounds and a standard deviation of 3.1 pounds. a random sample of 5 backpacks will be selected, and the weight, in pounds, of each backpack will be recorded. what is the probability that my next five samples will average 22 pounds?
For all samples of 5, there is a 0.05 probability that the sample mean would be higher than 22 pounds.
The assortment of bags weighs 19.7 pounds on average.
3.1 pounds is the standard deviation.
The sampling distribution theorem and the normal probability density function were both utilized.
The z-score formula is used to address problems involving samples with regularly distributed data.
Mean standard deviation, the z-score of a measure X is given by:
z = (x - μ) ÷ σ
The Z-score computes the number of standard deviations. The metric used is the average.
After calculating the Z-score, we look at the p-value associated with it in the z-score table.
This p-value represents the probability that the measure's value is smaller than X, or the percentage of X.
By taking away 1, we can determine the chance that the measure surpasses X.
If n is at least 30, the Central Limitation Theorem can also be applied to variables that are skewed.
No of the sample size, the sample mean will always be the same.
However, the standard error will change.
P(a > 22) denotes the likelihood that the sample means will be greater than 22.
The likelihood that they give it a chance will weigh more than 22 pounds is around 0.05 for all sampling of size 5.
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Write an expression for: half of w
2-w
2w
W/2
2/w
Answer:
w/2
Step-by-step explanation:
Calculating half of something is the same as dividing it by 2. In this case, the "something" is w so the answer is w/2.
answer choices:
A. M+N
B. M*N
C. S+T
D. S*T
E. N+T
F. N^2
Answer:
A, B, E are irrational
Step-by-step explanation:
You want to know which expressions result in an irrational number from the given expressions involving rational and irrational numbers.
A. M+NM + N = √2 +√5 . . . . irrational
B. MNMN = (√2)(√5) = 10 . . . . irrational
C. S+TS + T = 2 + 5 = 7 . . . . rational
D. STST = 2·5 = 10 . . . . rational
E. N+TN + T = √5 + 5 . . . . irrational
F. N²N² = (√5)(√5) = 5 . . . . rational
__
Additional comment
When in doubt, you can use your calculator to evaluate these expressions. If the decimal fraction uses all available digits, the number is likely irrational.
If the number cannot be expressed exactly without using symbols (√, ∛, π, e), then it is irrational. The attached calculator display shows this nicely.
could someone answer this.
z/7−9=2
solving multi-step equations by combining like terms.
Answer:
z = -4
Step-by-step explanation:
z/-2 = 2
-2(z/-2) = 2(-2)
z = -4
-4/7-9 = 2
-4/-2 = 2
2 = 2
In the first equation in the system of equations, y represents the money collected from selling sweatshirts. in the second equation, y represents the money spent to produce x sweatshirts with team logos on them for a professional sports league. what does the solution of the system represent in this context? startlayout enlarged left-brace 1st row y = 35 x 2nd row y = negative 0.05 (x minus 400) squared 9,942 endlayout
The correct option is D. the number of sweatshirts for which cost and income are equal.
What is quadratic equation?Any equation that contains only one element which squares the variable and none that raises it to a higher power.
The general form form of quadratic equation is-
ax² + bx + c = 0
According to the question;
Use the substitute method to get the quantity of sweatshirts in which cost and earnings are equal.
The money made by selling sweatshirts is represented by y in the systems of equations' first equation.The cost of producing x sweatshirts featuring team logos for the a professional sport league is represented by y in the second equation.Step 1: Write the following system of equations as the first step.
\(\begin{aligned}&y=35 x \\&y=-0.05(x-400)^{2}+9492\end{aligned}\)
Step 2: Replace the value of "y" in the equation (2).
\(35 x=-0.05(x-400)^{2}+9492\)
Step 3: Make the equation above simpler.
\(35 x=-0.05 x^{2}-8000+40 x+9492\)
Step 4: Write the preceding equation in generalised quadratic form.
\(0.05 x^{2}-5 x-1492=0\)
The processes above lead to the conclusion that option D provides the proper statement.
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The complete question is-
In the first equation in the system of equations, y represents the money collected from selling sweatshirts. In the second equation, y represents the money spent to produce x sweatshirts with team logos on them for a professional sports league. What does the solution of the system represent in this context?
y=35x
y=-0.05(x-400)^2+9,492
A. the number of sweatshirts that generate the maximum income
B. the number of sweatshirts that generate the minimum cost
C. the number of sweatshirts for which the difference between cost and income is greatest.
D. the number of sweatshirts for which cost and income are equal
Answer:
D
Step-by-step explanation:
He said so