Answer:
80 mi²63 in²32 m²44 cm²59.5 ft²48 km²Step-by-step explanation:
Q1
8 x 4 + 12 x 432 + 4880 mi²Q2
5 x 3 + 12 x 415 + 4863 in²Q3
4 x 2 + 8 x 38 + 2432 m²Q4
10 x 4 + 2 x 240 + 444 cm²Q5
5 x 2 + 11 x 4.510 + 49.559.5 ft²Q6
3 x 1 + 9 x 53 + 4548 km²If the temperature today is 3 more than twice what it was yesterday and the temperature today is 66, what was the temperature yesterday?
Using algebra to solve this problem, which of the following is one step that you will take?
Step-by-step explanation:
x is the temperature yesterday
Answer:
Step-by-step explanation:
The correct answer is
Write the equation 66=2y+3.
4. Make a table and graph the function. (1 point)
y = 4x + 2
Type the correct answer in each box.
A circle is centered at the point (-3, 2) and passes through the point (1, 5). The radius of the circle is ____? units. The point (-7, __?) lies on this circle.
Answer:
the answer is 5 and (-7,5)
Step-by-step explanation:
The radius is 5, and the points (-7, 5) and (-7, -1) both lie on the circle.
Given that:
The points at which the circle is centered are (-3,2)
Passing points = (1,5)
The radius is calculated using the distance formula:
d = [tex]\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2[/tex]
Substituting the coordinates, we have:
d =[tex]\sqrt{({1 - (-3))^2 + (5 - 2)^2[/tex]
= [tex]\sqrt{(1 + 3)^2 + (5 - 2)^2[/tex]
=[tex]\sqrt{(4^2 + 3^2)[/tex]
= [tex]\sqrt{(16 + 9)[/tex]
= 5
Therefore, the radius of the circle is 5 units.
The equation of a circle with center (h, k) and radius r is given by:
[tex](x - h)^2 + (y - k)^2 = r^2[/tex]
Substituting the values, we have:
[tex][-7 - (-3)]^2 + (y - 2)^2 = 5^2[/tex]
[tex](-7 + 3)^2 + (y - 2)^2 = 25[/tex]
[tex](-4)^2 + (y - 2)^2 = 25[/tex]
[tex]16 + (y - 2)^2 = 25[/tex]
[tex](y - 2)^2 = 9[/tex]
Taking the square root of both sides, we have:
y - 2 = ±3
Solving for y, we have two possible values:
y - 2 = 3
y = 5
y - 2 = -3
y = -1
The points (-7, 5) and (-7, -1) both lie on the circle.
Thus, the radius is 5, and the points (-7, 5) and (-7, -1) both lie on the circle.
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Please solve with explanation (high points)
Both ∠AKL and ∠AKC have a value of 45 degrees. The rationale is that the regular polygons BKLC (rectangle) and ABCD are bisected by lines AK and KC respectively. Since the sum of angles in a right angle is 90°, thus half of that is 45°.
What is a regular polygon?A regular polygon is a polygon that has two dimensions and can be made or drawn using at least three lines joined together.
Because, the sum of angles in a right angle is 90° and half of that is 45°, we can thus conclude that the values of ∠AKL and ∠AKC are both 45° each.
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Spinner A and Spinner B below are each to be spun once.
If the pointer CANNOT land on a line, how many different outcomes of a number and a color are possible?
18
12
9
6
Answer:
9
Step-by-step explanation:
Spinner A = 6 outcomesSpinner B = 3 outcomes6 + 3 = 9Which part of a story shows how the climax affected the characters?
Falling action
Rising action
Exposition
Resolution
Answer:
Falling action
Step-by-step explanation:
Falling action in a basic plot structure is the events that happen after the climax and before the resolution. This part of your story is often used to show the consequences of the climax and how it affects the characters.
A training field is formed by joining a rectangle and two semicircles, as shown below. The rectangle is 86m long and 64m wide. Find the area of the training field. Use the value 3.14 for π, and do not round your answer. Be sure to include the correct unit in your answer.
The area of the training field to the nearest whole number is 8719 msq. meter
Area of composite solidThe given field is made up of a rectangle and 2 semi circles. The formula for calculating the area of the field is:
Area of the field = area of circle + area of rectangle
Area of field = 3.14(32)² + (86)(64)
Area of field = 3215.36 + 5504
Area of the field = 8719 msq. meter
Hence the area of the training field to the nearest whole number is 8719 msq. meter
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miguel is making chocolate cupcakes. The recipe that he is following uses 2/3 cup of sugar, and miguel needs to make 4 batches of cupcakes. If he only has 3 cups of sugar, can miguel still make all of the cupcakes?
Answer:
yes
Step-by-step explanation:
Each batch requires 2/3 c / batch
time 4 batches: 4 * 2/3 = 8/3 cups = 2 2/3 cups
he has 3 cups , so he has enough to make 4 batches
what is the volume of a cylinder, in cubic feet, with a height of 8 feet and a base diameter of 18 Round to the nearest place
2. Martin read for a total of 150 minutes last week. He read the same amount of time each day for 6 days. Which equation shows, n, the number of minutes Martin read each day? 150 minutes in all n minutes read each day A 150 x 6-n B 150+6=n 150-6-n D 150+6=n
Answer:
n = 150/6
or
n = 25
Step-by-step explanation:
Since martin read during 150 minutes for six days, all you need to do is divide the time by the amount of days to get how many minutes (n) martin read per day.
Therefore, n = 150 / 6
If you make the division n = 25
evaluate 1/4c + 3d when c = 6 and d = 7
please don't just give me the answer, explainnn because i don't know how to do this
Answer:
22 1/2
Step-by-step explanation:
1/4×6=1 1/2
3×7=21
21+1 1/2=22 1/2
Answer as a decimal = 22.5
Answer as a fraction = 45/2
===========================================================
Explanation:
Replace c with 6, and replace d with 7.
Then use the order of operations (PEMDAS) to simplify until you get a single number.
[tex]\frac{1}{4}c + 3d\\\\\frac{1}{4}(6) + 3(7)\\\\\frac{6}{4} + 21\\\\1.5 + 21\\\\22.5\\\\[/tex]
If you want to convert this to an improper fraction, then,
[tex]22.5 = 22 + 0.5\\\\22.5 = 22 + \frac{1}{2}\\\\22.5 = 22*\frac{2}{2} + \frac{1}{2}\\\\22.5 = \frac{44}{2} + \frac{1}{2}\\\\22.5 = \frac{44+1}{2}\\\\22.5 = \frac{45}{2}\\\\[/tex]
please help due in 15 mins
Answer:
x is -1
Step-by-step explanation:
-4 multiplied by x is -4x, then -4 x 3 is -12, which makes the problem -4x + -12 and you need to do the opposite so add 4, -4x cancels out and then add 4 to -12 which is 8x
Pls ingore all of the questions below, but help me with the attached image
What is the only number that has the same number of letters as it's meaning? ...
What number doesn't have its own Roman numeral? ...
What is the only even prime number? ...
What is the smallest perfect number? ...
What is our current numerical system based on? ...
Is Pi a rational or irrational number?
Answer:
t = 110°
Step-by-step explanation:
Triangle BCD is isosceles, so its base angles are congruent. This means m<CBD = m<CDB. Since m<CBD is 35, m<CDB is also 35.
The sum of angles in a triangle is 180, so the following equation can be written:
180 = m<CBD + m<CDB + m<BCD
We can substitute m<CBD and m<CDB with 35 and m<BCD with t and solve:
[tex]180 = 35 + 35+ t\\180=70+t\\t=110[/tex]
So t = 110°
4) Carlo finished answering his homework at 7:20 p.m. If he started at 6:50 p.m., how many minutes did he spend in answering his homework?
a. What is asked?
b. What are given?
c. What is/are the operation/s to be used?
d. What is the number sentence?
e. What is the answer?
Answer:
a. the time spent answering homework
b. time finished and time started
c. subtraction
d. 7:20-6:50 (unsure how this is supposed to be laid out)
e. Carlo spent 30 minutes answering his homework
Help the pic has questions
Answer:
a) [tex]x = 9[/tex]
b) [tex]m \angle 1 = m \angle 2 = 54^\circ[/tex]
Step-by-step explanation:
Since [tex]r\ ||\ s[/tex], through the Alternate Angle Theorem, [tex]m \angle 1 = m \angle 2[/tex]. We can solve for x by setting up an equation where both angles are equal to each other:
[tex]m \angle 1 = m \angle 2\\63-x = 72-2x\\63 +x = 72\\x = 9[/tex]
Now plug in x for both of the formulas to get their angles:
[tex]m \angle 1 = (63 - x)^\circ = (63-9)^\circ = 54^\circ[/tex][tex]m \angle 2 = (72-2x)^\circ = (72-2(9))^\circ = (72-18)^\circ = 54^\circ[/tex]
PLEASE HELP ALL GRADES IN TONIGHT OR ZERO! WILL GOVE BRANLIEST Statistical Measures
Use the following data to determine each statistical measure.
9, 9, 14, 7, 12, 8, 11, 19, 15, 11
5. mean
6. median
8. mode
9. interquartile range (IQR)
Data Representations
Make each data display using the data from Problems 5-7.
11. Box plot
12. Dot plot
7. range
10. mean absolute deviation (MAD)
Answer:
5. Mean = 11.5
6. Median = 11
7. Range = 12
8. Mode = 9 and 11
9. Interquartile Range (IQR) = 5
10. Mean Absolute Deviation (MAD) = 2.8
11. Just Replace the Values just like the example image.
12. Just draw the min = 7 and max = 19 dot plot.
Step-by-step explanation:
Mean = (9+9+14+7+12+8+11+19+15+11)/10 = 115/10 = 11.5
Mean = 11.5
Median: 7,8,9,9,11,11,12,14,15,19
Median in the center = 11
Range: Big Number - Small Number
Range = 19 - 7 = 12
Range = 12
Mode = 9 and 11
Interquartile Range (IQR): Q3 - Q1
Q3 = 14 , Q1 = 9
IQR = 14 - 9 = 5
IQR = 5
Mean Absolute Deviation (MAD): ( |7 - 11.5|+ |8 - 11.5| + ... + |15-11.5| + |19-11.5| )/10
MAD = ( 4.5 + 3.5 + 2.5 + 2.5 + 0.5 + 0.5 + 0.5 + 2.5 + 3.5 + 7.5 )/10 = 28/10 = 2.8
MAD = 2.8
WILL MARK BRAINLIEST The amount (A) that principal (P) will be worth after t years at interest rate (r) compounded annually is
A = P(1 + r)
t
Suppose $6,000 is invested at 5.5% and yields a total of $7,255. How many years was it invested?
Put in the formula
[tex]\\ \rm\Rrightarrow A=P(1+r)^t[/tex]
[tex]\\ \rm\Rrightarrow 7255=6000(1+0.055)^t[/tex]
[tex]\\ \rm\Rrightarrow 1.20917=(1.055)^t[/tex]
[tex]\\ \rm\Rrightarrow ln1.20917=tln1.055[/tex]
[tex]\\ \rm\Rrightarrow t=\dfrac{ln1.20917}{ln1.055}[/tex]
[tex]\\ \rm\Rrightarrow t=3.5years[/tex]
Answer:
4 years (nearest year) or
3.5 years (nearest tenth) or
3 years, 6 months and 17 days (most accurate)
Step-by-step explanation:
Annual Compound Interest Formula
[tex]\large \text{$ \sf A=P\left(1+r\right)^{t} $}[/tex]
where:
A = final amountP = principal amountr = interest rate (in decimal form)t = time (in years)Given:
A = $7,255P = $6,000r = 5.5% = 0.055Substitute the given values into the formula and solve for t:
[tex]\implies \sf 7255=6000(1+0.055)^t[/tex]
[tex]\implies \sf 7255=6000(1.055)^t[/tex]
[tex]\implies \sf \dfrac{7255}{6000}=(1.055)^t[/tex]
Take natural logs of both sides:
[tex]\implies \sf \ln \left(\dfrac{7255}{6000}\right)= \ln (1.055)^t[/tex]
[tex]\textsf{Apply the power law}: \quad \ln x^n=n \ln x[/tex]
[tex]\implies \sf \ln \left(\dfrac{7255}{6000}\right)= t\ln (1.055)[/tex]
[tex]\implies \sf t=\dfrac{\ln \left(\dfrac{7255}{6000}\right)}{\ln (1.055)}[/tex]
[tex]\sf \implies t=3.547416819...[/tex]
Therefore, the number of years the principal was invested is:
4 years (nearest year)3.5 years (nearest tenth)3 years, 6 months and 17 daysLearn more about compound interest here:
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please help out asap, will give brainlist crown
Answer:
4 is an interior angle1,2,3 are exterior angles3. 2x+12+3x-7=360
5x+5=360
5x=360-5
x=355/5
x=71
for exterior
2x+12=360
2x=360-12
x=348/2
x=174
Step-by-step explanation:
hope this will help you
Sam Bought a shirt for $27 after a discount, He said he bought the shirt at a 10% discount, What was the original selling price of the shirt?
Answer:$37.00
Step-by-step explanation: hope it helps
what is "the power" of something (mathematically).
The power of a number says how many times to use the number in a multiplication.
--
For instance 6 to the power of 2
This means
6²Which is also equal to 36
the perimeter of a rectangle is 26 and the area is 30. what are the dimensions of the rectangle ?
Answer:
Step-by-step explanation:
Which of the following are solutions to the equation cos^2 2x-1/4=0? Check all that apply.
A. 11pi/3
B. 12pi/6
C. 5pi/6
D. Pi/6
Answer:
D
Step-by-step explanation:
Cos^2 2x=1/4
Cos 2x =+-1/2
2x=z
Cos z=+-1/2
z1=pi/3
z2=11pi/3
z1 and z2 are possible.
x1=pi/6
x2=11pi/6
10.) 189 girls and 115 boys signed up for art lessons.
The pupils were divided equally into 8 classes.
How many pupils would there be in each class?
Answer:
38
Step-by-step explanation:
add 189+115 = 304
then 304÷8 =38
Let x be the amount of hours spent studying and let y be the number of points earned on a quiz. The graph of the relationship between x and y is below. Which equation represents this relationship?
Answer:
y=0.5x + 4
..............
Answer:
The answer is C y=0.5x+4
Step-by-step explanation:
Which is not a reason an athlete uses technology to assess performance?
A. To monitor development.
B. To tailor to their training program.
C. To send to college recruiters.
D. To analyze technique.
The reason for which an athlete does not use technology to assess performance is To send to college recruiters.
What is technology?Technology is the culmination of collected knowledge and the application of skills, methods, and procedures utilized in manufacturing and scientific research. Technology is incorporated into the functioning of all machinery, with or without a thorough understanding of its function, for an organization's stated purpose.
The reason for which an athlete does not use technology to assess performance is To send to college recruiters.
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HELP PLEASE ITS DUE TOMMOROW
Answer:
Hope the picture will help you...............
Decide whether you have enough information to determine that the triangles are congruent. If they are congruent, explain why.
3. Mick recorded the rainfall, in inches, each day for the last 8 days. What is the difference between the most amount of rainfall and the least amount of rainfall?
Answer: 2 inches
At 8 days there will be 8/4 = 2
Difference = 2 - 0 = 2 inches
is 300 greater than 8/9?
Answer:
yes.
Step-by-step explanation:
300>8/9
300>0.888888889
[tex]\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]
Is 300 greater than 8/9?
[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]
Yes, 300 is greater than [tex]\bold{\dfrac{8}{9}}[/tex].
Remember, proper fractions (fractions with a numerator less than the denominator) are less than 1.
When comparing an integer (like 300) with a fraction (like 8/9), first you need to work out whether or not the fraction is a proper fraction.
Then, you also need to pay attention to the signs, because they may seem trivial, but they are in fact highly significant.
Therefore,
300>8/9 (300 is definitely greater than a number less than 1, right?)
(and the ">" sign means "greater than"
Good luck with your studies.[tex]\rule{200}{2}[/tex]
What are the x-intercepts of the graph of the given function f(x)=3(x+7)(x-9) show your work
Answer:
x intercepts = (9,0), (-7,0)
Step-by-step explanation:
First lets expand the factored equation.
f(x) = 3(x + 7) (x - 9)
.... = 3x + 21 (x - 9)
....= 3x^2 - 27x - 21x - 189
....= 3x^2 - 6x - 189
lets make the quation equal to 0 and use the Factorization method to solve for x.
3x^2 - 6x - 189= 0
3(x^2 - 2x - 63) = 0
3(x - 9) (x + 7) = 0
x - 9 = 9 and x + 7 = -7
x = 9,
x = -7