Answer:
19
Step-by-step explanation:
Answer:
19
Step-by-step explanation:
First, insert the numbers at the variables, so 7-3(-4). So, because of PEMDAS, you multiply first, so 3(-4)=-12. 7-(-12)=19.
(hope this helps!!)
different equation dy÷dx+ytanx=secx
Answer:
First, we rearrange the equation to isolate the y-term on one side:
dy/dx + ytanx = secx
Then, we multiply both sides by the integrating factor, which is e^(∫tanx dx) = e^(ln|secx|) = |secx|: | secx| dy/dx + ysecx tanx = 1
Next, we can write this as the derivative of a product using the product rule: d/dx (y |secx|) = 1
Integrating both sides with respect to x, we get: y |secx| = x + C
where C is the constant of integration. Solving for y, we have:
y = (x + C)/|secx|
Note that there is a singularity at x = (2n + 1)π/2, where the denominator |secx| is zero. At these points, the solution is not defined
2. Suppose you charge $1000 on a credit card that has an APR of 28% compounded daily.a) How much will you owe if you make no payments for one year?|b) How much will you owe if you make no payments for 3 years?
SOLUTION
Step 1:
In this question, we have the principal = $1 000
Rate = 28 %
a) How much will you owe if you make no payments for one year?
Amount after one year =
\(\begin{gathered} A\text{ = P }(1+R)^t \\ A\text{ = }1000(1+0.28)^1^{} \\ =\text{ 1000 x 1. 28} \\ =\text{ \$ 1, 280} \end{gathered}\)b) How much will you owe if you make no payments for 3 years?
\(\begin{gathered} A=P(1+R)^t \\ =1000(1+0.28)^3 \\ =1000(1.28)^3^{} \\ =\text{ 1000 x 2. 097152} \\ =\text{ \$ 2097. 152} \\ =\text{ \$ 2097. 15 } \end{gathered}\)
What is the domain of f(x) = 2|x - 3| + 1 ?
Domain: all reals, (-∝, ∝)
All inputs for x result in a solution.
What three consecutive integers have a sum of 12?; What is the sum of 3 consecutive integers?; What is the formula for 3 consecutive integers?; What are the consecutive numbers of 12?
The three consecutive numbers that have a sum of 12 is 3, 4 and 5. The formula for calculation is x + x + 1 + x + 2 = 12.
Let the first number in three consecutive numbers be x. So, the next two numbers will be (x+1) and (x+2). Now, their sum wil be represented as mathematical equation -
x + x + 1 + x + 2 = 12
Performing addition on Left Hand Side of the equation
3x + 3 = 12
Rewriting the equation
3x = 12 - 3
Performing subtraction on Right Hand Side of the equation
3x = 9
x = 9/3
Performing division on Right Hand Side of the equation
x = 3
So, next number = x+1
Second number = 3+1
Second number = 4
Third number = x+2
Third number = 3+2
Third number = 5
Hence, the three consecutive numbers are 3, 4 and 5.
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Convert 64°F to °C (to the nearest tenth) using one of the following formulas: Fahrenheit to Celsius Celsius to Fahrenheit °C = (°F - 32) × 5/9 °F = 9/5 × °C + 32.
Answer:
20°C
Step-by-step explanation:
64-32 =32
32 ×5 =160
160/9 = 17.8
17.8 rounded to the nearest tenth is 20°C.
A basketball player makes 8 of 22 shots in game 1, 6 of 15 in game 2, and, 10 of 23 in game 3. What percent of the shots did the player make in the three games?
Answer:
50
Step-by-step explanation:
the answer is 50 because you have to add 22+15+23=50 then you add the makes which is 8+7+10=25. Then time both by 2 because percent means per one hundred which means the bottom has to equal 100 so time 50x2=100, So 25x2=50
Order cube root of eighty-eight, twenty-eight ninths, square root of nineteen from greatest to least.
cube root of eighty-eight, twenty-eight ninths, square root of nineteen
twenty-eight ninths, square root of nineteen, cube root of eighty-eight
twenty-eight ninths, cube root of eighty-eight, square root of nineteen
cube root of eighty-eight, square root of nineteen, twenty-eight ninths
Answer:
(a) twenty-eight ninths, square root of nineteen, cube root of eighty-eight
Step-by-step explanation:
When ordering a list of numbers by hand, it is convenient to convert them to the same form. Decimal equivalents are easily found using a calculator.
OrderThe attachment shows the ordering, least to greatest, to be ...
\(\dfrac{28}{9}.\ \sqrt{19},\ \sqrt[3]{88}\)
__
Additional comment
We know that √19 > √16 = 4, and ∛88 > ∛64 = 4, so the fraction 28/9 will be the smallest. That leaves us to compare √19 and ∛88, both of which are near the same value between 4 and 5.
One way to do the comparison is to convert these to values that need to have the same root:
√19 = 19^(1/2) = 19^(3/6) = sixthroot(19³)
∛88 = 88^(1/3) = 88^(2/6) = sixthroot(88²)
The roots will have the same ordering as 19³ and 88².
Of course, these values can be found easily using a calculator, as can the original roots. By hand, we might compute them as ...
19³ = (20 -1)³ = 20³ -3(20²) +3(20) -1 = 8000 -1200 +60 -1 = 6859
88² = (90 -2)² = 90² -2(2)(90) +2² = 8100 -360 +4 = 7744
Then the ordering is ...
28/9 < 19³ < 88² ⇒ 28/9 < √19 < ∛88
Answer:
the ordering is
28/9 < 19³ < 88² ⇒ 28/9 < √19 < ∛88
Step-by-step explanation:
What is the missing length?
ktioner för Quiz Fråga 1 20 po On a television program, a comedian tosses a watermelon from the top of a five-story building. The height of the watermelon as it falls is given by the function h(t) = -16t2 + 16+ + 60 where is the number of seconds since the watermelon was tossed. The quadratic expression in the function can be factored as h(t) = -4 ( 2t + 3) (2t - 5) How many seconds does the watermelon fall before it hits the ground
where h(t) is the height of the watermelon, and t is time in seconds
The function can also be expressed as :
\(h(t)=-4(2t+3)(2t-5)\)when the watermelon hits the ground, h(t) = 0, then:
\(\begin{gathered} 0=-4(2t+3)(2t-5) \\ 0=(2t+3)(2t-5) \end{gathered}\)we have two options:
\(\begin{gathered} 2t+3=0 \\ 2t=-3 \\ t=-\frac{3}{2} \end{gathered}\)or
\(\begin{gathered} 2t-5=0 \\ 2t=5 \\ t=\frac{5}{2} \\ t=2.5 \end{gathered}\)The negative solution has no sense in the context of this problem, then the watermelon takes 2.5 seconds to hit the ground
For these problems,
x
will represent the number of items and
y
will represent the money.
The fixed costs for a certain item are $100 per week. The cost to produce each item is $6 per item.
Using this information, what is the cost equation? Give your answer in slope-intercept form:
Answer:
y = 6x + 100
Step-by-step explanation:
Slope-intercept form is y = mx + b, where m is the cost to produce each item and b is the fixed cost. Let's input the given values for m and b into the equation:
y = 6x + 100
This is the cost equation. $6 multiplied by x amount of items pluss the fixed cost of $100 gives you the total cost (y) to produce x amount of items.
Hope this helps :)
2 plus to 4 plus for 8 plus ate
According to the given data the value is 22.
What is meant by addition?Addition is a basic mathematical operation that involves combining two or more numbers to get a total or sum. It is typically denoted by the symbol "+" and can be performed on a variety of numerical values, including whole numbers, decimals, fractions, and even negative numbers.
According to the given information:The value of the addition for 2+4+8+8=22
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A square garden has a length of (x+3) ft and a width of (x+2) ft. what is the perimeter and area of the garden?
Answer:
Perimeter:\(4x+10\) feet
Area:\(x^{2}+5x+6\) feet
Step-by-step explanation:
The perimeter is equal to 2*width +2*length. The width is x+2 and the length is x+3, therefore the perimeter is equal to 2x+4+2x+6 which equals 4x+10.
The area is equal to width*length
(x+3)(x+2)=\(x^{2}+2x+3x+6=x^{2}+5x+6\)
triangle abc and trianglee xyz are similar triangles. the lengths of tow sides of each triangle are show. find the length of the third side of each triangle
The length of the third side of ΔXYZ is 6 meters and the length of the third side of ΔABC is 11 meters.
ΔABC is similar to ΔXYZ
So, The sides of the two triangles are proportional to each other.
AB/XY = 6/3 = 2
BC/YZ = 11/5.5 = 2
To find the lengths of the third sides:
For XZ, we can use the proportion of AB/XY to find XZ. Since AB/XY = 2, we have XZ = 3 * 2 = 6.For AC, we can use the proportion of BC/YZ to find AC. Since BC/YZ = 2, we have AC = 5.5 * 2 = 11.So, the length of the third side of ΔXYZ is 6 meters and the length of the third side of ΔABC is 11 meters.
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Complete Question:
Δ ABC and Δ XYZ are similar triangles. the lengths of the two sides of each triangle are shown as 3 and 5.5. find the length of the third side of each triangle.
what is the difference (2x minus 3) minus (x minus 1)
Answer:
x-2
Step-by-step explanation:
Answer:
x-2
Step-by-step explanation:
(2x-3) - (x-1)
= 2x-3-x+1
= x-2
Yes or No: Is this triangle a Right Triangle with side measures 21, 28, 35?
Answer:
yes
Step-by-step explanation:
Hello There!
In order for a right triangle to be a right triangle the hypotenuse ( longest side) squared must equal the sum of the two shorter sides squared
so if this is a right triangle then
\(21^2+28^2=35^2\\21^2=441\\28^2=784\\784+441=1225\\35^2=1225\\1225=1225\)
so as you can see 21^2+28^2 does = 35^2 so the side measures given do make a right triangle
help pls ik the answers i just don’t k is how to show work :(
include the notation and just do the work on the page
Priscilla can make 2 bracelets in 18 minutes. At this rate, how many bracelets can she make in 72 minutes?
Answer:
8
Step-by-step explanation:
divide 72 by 18 to get 4. multiply 4 by 2 and you get 8. hope this helps
Answer:
make 8 braclets within 72 minutes
Step-by-step explanation:
2 bracelets 4 bracelts 6 bracelets 8 bracelets
18 minutes 36minutes 54minutes 72 minutes
A set of twins purchase a small, oddly shaped plot of land for their retirement. They want to divide the parcel along the grid lines into two identical plots. Can they do it and how?
The ability of the twins to divide the oddly shaped plot into two Identical plots along the grid lines depends on the presence of a line of symmetry.
To determine whether the set of twins can divide the oddly shaped plot of land into two identical plots along the grid lines, we need to consider the characteristics of the plot and the conditions required for the division.
For the division to be possible, the plot needs to have a line of symmetry that can be used to create two identical halves. A line of symmetry divides an object into two equal and mirrored parts.
If the plot of land has a line of symmetry, the twins can divide it by drawing a line along the symmetry axis. This line should cut the plot into two equal halves, ensuring that both plots are identical.
However, if the plot does not have a line of symmetry, it may not be possible to divide it into two identical plots along the grid lines. In this case, the twins would need to consider alternative methods of division or compromise on the goal of having two identical plots.
To determine if the plot has a line of symmetry, the twins can examine its shape and characteristics. They can look for any symmetrical patterns, such as equal sides or mirrored shapes, that indicate the presence of a line of symmetry.
If the plot does not have an obvious line of symmetry, the twins might need to explore other options, such as dividing the plot into two equal areas based on other criteria, such as the length or width of each half.
the ability of the twins to divide the oddly shaped plot into two identical plots along the grid lines depends on the presence of a line of symmetry. If such a line exists, they can divide the plot by drawing a line along the symmetry axis. However, if the plot lacks symmetry, they may need to consider alternative methods of division or adjust their expectations.
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Note the full question may be :
To determine whether the twins can divide the oddly shaped plot of land into two identical plots along the grid lines, we need more specific information about the shape and dimensions of the plot. the shape of the plot (rectangular, triangular, irregular), the lengths of its sides, any existing grid lines or divisions within the plot.
what is the image of (3,-12) after a dilation by a scale factor of 1/3 centered at the origin?
Answer:
(1, -4)
Step-by-step explanation:
With what you gave, that's the reduction.
What is the value
-3/2(24 - 5 1/3 )
A. -44
B. 32 1/6
C. -41 1/3
D. -28
Susan bought a 1 kilogram bag of grapes. On the way home, she ate 125 grams of the grapes. How many grams of grapes does Susan have left? use math language and symbols to explain how you used the correct measurement units to solve the problem.
Susan has 875 grams of grapes left.
1. Susan bought a 1 kilogram bag of grapes, which is equivalent to 1000 grams (since there are 1000 grams in a kilogram).
2. Susan ate 125 grams of the grapes on her way home.
3. To find out how many grams of grapes Susan has left, we need to subtract the amount she ate from the initial weight of the bag. Therefore, we subtract 125 grams from 1000 grams.
1000 grams - 125 grams = 875 grams
4. Thus, Susan has 875 grams of grapes left.
measurement units:
In this problem, we used grams as the measurement unit. Grams are commonly used to measure the weight of small objects like grapes. Since the problem stated that Susan bought a 1 kilogram bag of grapes, it was necessary to convert the kilogram measurement to grams.
This conversion was done by multiplying the kilogram value by 1000 (1 kilogram = 1000 grams). By using the correct measurement units, we were able to accurately calculate the amount of grapes Susan had left after eating a portion.
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I need help plz!!!!!!??!?!
Answer:
3848.45
Step-by-step explanation:
half 70
35
πr^2
π×35^2
Answer:
22/7×35×2
22/7×70
= 220cm²
What is the surface area?
20 cm
16 cm
20 cm
24 cm
32 cm
The calculated value of the surface area of the shape is 192 square cm
What is the surface area?From the question, we have the following parameters that can be used in our computation:
The triangle (see attachment)
The surface area is calculated as
Area = 1/2 * Base * Height
Substitute the known values in the above equation, so, we have the following representation
Area = 1/2 * 24 * 16
Evaluate
Area = 192
Hence, the surface area is 192 sq cm
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what function matches g?
Answer:
f
Step-by-step explanation:
lt's a composition of two small functions
A 799.99 television is selling for 13% off. Find the final price of the television if the sales tax is 6%
Show that the angle bisector of an equilateral triangle is perpendicular to the base
To show that the angle bisector of an equilateral triangle is perpendicular to the base, we can assume an equilateral triangle with sides ABC. Next, we can get an angle bisector in the middle represented by BD which becomes perpendicular to the base BC.
How to prove that the angle bisector is perpendicular to baseAfter getting the angle bisector, we would see that the line segment BD, divides angle BAC into two equal angles, each measuring 30 degrees. Now, we can draw a perpendicular line from point D to the base BC.
We could also draw a line E, which is the perpendicular line that intersects the base BC. We want to show that BD is perpendicular to BC, which means we need to show that angle BDE is a right angle.
Since the sum of angles BDA and ADE is 90 degrees (they form a right angle), and the sum of angles BAD, ABD, and BDA is 180 degrees, it follows that angle BDE must be a right angle.
Therefore, we have shown that the angle bisector of an equilateral triangle is perpendicular to the base.
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9+10....................................................................
Answer:
24234221111111111111111111111
Step-by-step explanation:
what is AE
AB=10
AE=2a + 10
ED=x + 3
CD=4
Enter you answer In the box
The given values into the equation AE = 2a + 10. Therefore, The value of AE is 3 - x.
To find the value of AE, we can substitute the given values into the equation AE = 2a + 10.
Given:
AB = 10
AE = 2a + 10
ED = x + 3
CD = 4
Since AB is a segment on the line, it can be divided into AE and ED. Therefore, AB = AE + ED.
We know that AB = 10 and CD = 4. So, if we subtract CD from AB, we get AE + ED = 10 - 4.
AE + ED = 6.
Now, we can substitute the value of ED, which is x + 3, into the equation: AE + x + 3 = 6.
To find the value of AE, we need to isolate it on one side of the equation. Let's subtract x and 3 from both sides:
AE = 6 - x - 3.
Simplifying further, we get;
AE = 3 - x.
Therefore, the value of AE is 3 - x.
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Need the truth value of If you visited Dallas, then you've been to Texas.
Answer:
Yea, how would you get to Dallas with-out being in texas!? lol
Step-by-step explanation:
Answer:
I mean yeah, Dallas is in Texas if that's what you mean.
Step-by-step explanation:
Question 25 Given that a: b = 8:5 and b: c = 3:4, find the ratio a: b: c Give your answer in its simplest form.
Answer:
24 : 15 : 20
Step-by-step explanation:
express ratios in fractional form and express b and c in terms of a
\(\frac{a}{b}\) = \(\frac{8}{5}\) ( cross- multiply )
8b = 5a ( divide both sides by 8 )
b = \(\frac{5}{8}\) a
also
\(\frac{b}{c}\) = \(\frac{3}{4}\) ( cross- multiply )
3c = 4b ( divide both sides by 3 )
c = \(\frac{4}{3}\) b = \(\frac{4}{3}\) × \(\frac{5}{8}\) a = \(\frac{5}{6}\) a
Then
a : b : c
= a : \(\frac{5}{8}\) a : \(\frac{5}{6}\) a ( multiply each part by 24, the LCM of 8 and 6 )
= 24a : 15a : 20a ( divide each part by a )
= 24 : 15 : 20 ← in simplest form