A triangle has the side lengths shown.
Write an expression in simplest form that represents the perimeter of the triangle.
[tex]\it \mathcal{P}=4(x+3)+5x+18=4x+12+5x+18=9x+30[/tex]
Match the terms to their definition. 1 . a number that is less than zero positive number 2 . a number belonging to the set made up of the counting numbers: 1, 2, 3, and so on integer 3 . a number that is greater than zero negative number 4 . a number belonging to the set made up of the whole numbers and their opposites opposite numbers 5 . a line that graphically represents all numbers natural number 6 . two numbers that are the same distance from zero on the number line, but in opposite directions number line
Answer: 1. Negative number
2. Natural number
3. Positive number
4. Integers
5. Number line
6. Opposite numbers
Step-by-step explanation:
1. The first statement says a number that is less than zero, which means any negative number would be less than zero. For example (-1), (-2), etc.
2. The second statement is asking for numbers belonging to the counting set, which means starting from one (1). Natural numbers are numbers that start from 1 and don't include negative numbers or zeros.
3. The third statement says the number that is greater than zero, as negative numbers are smaller than zero and the natural number option has already been chosen above, we will consider positive numbers.
4. Whole numbers consist of both negative and positive integers including zero. Therefore, a set of whole numbers will be written as integers.
5. Number line is a line that represents both negative and positive numbers.
6. Consider an example- (+5) and (-5), both the numbers are the same but with different signs, making them opposite of each other. Therefore, the correct answer would be opposite numbers.
Consider the standard form of an exponential function:
[tex]y=a(b)^x[/tex]
How does changing the base number (inside the parentheses) change your graph?
Answer:
Step-by-step explanation:
Challenge 1
We have exponential decline if 0 b 1. As you move from left to right, the curve will get less steep.
If b is greater than 1, exponential growth is present, and the curve slopes upward from left to right.
Examples include exponential decline (y = 2(0.5)x) and exponential growth (y = 2(1.2)x).
Remember that b cannot be negative.
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Challenge 2
In the general template provided, enter x = 0.
y = a(b)^x
y = a(b)^0
y = a(1) (1)
y = a
When x = 0 is plugged in, the result is y = a.
The curve is therefore on the point (0,a). The y intercept appears here. It is the point when the curve veers off the y axis. The y intercept is altered if the value of "a" is altered.
Examples:
How do I simplify Rational Exponents and Radicals?
I was absent yesterday and we completely moved onto a brand new subject. I don't quite understand, this isn't asking me to solve it, It's asking me to simplify it. help??
Some of the problems I don't understand:
4x⁻⁴y⁴
-2x⁴y⁻¹
Rational exponents and radicals are simplified in a similar way to how other exponents and radicals are simplified.
For the first expression 4x⁻⁴y⁴, you can simplify it by noticing that it has a negative exponent on the x term and a positive exponent on the y term. To simplify, you can keep the base (x and y) and the exponent (4 and -4) but you change the negative exponent to a fraction and change the sign:
4x⁻⁴y⁴ = (x^-4) (y^4) = x^-4y^4
For the second expression -2x⁴y⁻¹, you can simplify it by noticing that it has a negative exponent on the y term. To simplify, you can keep the base (x and y) and the exponent (4 and -1) but you change the negative exponent to a fraction and change the sign:
-2x⁴y⁻¹ = -2 (x^4) (y^-1) = -2x^4y^-1
To simplify these expressions further, you would need to know the specific values of x and y. But these are the steps to simplify a rational exponent or radical to its simplest form.
It's also worth mentioning that if you have a fractional exponent you can simplify it by raising the base to the numerator of the exponent and the denominator of the exponent. For example, x^(3/4) = (x^3)^(1/4) = ∛x
Keep in mind that when you simplify rational exponents or radicals, you should always keep the base and the exponent, and only change the sign of the exponent if it is negative.
So I kinda need some more help that would be appreciated
Answer:
75 percent of a positive number is greater greater than 50 percent of a positive number. and the second one is 75percent of a negative number is less than 50percent of a negative number
Answer:
Step-by-step explanation:
75% of 100> 50% of 100
75% of 1< 50% of 100
A hot air balloon was at a height of 60 feet above the ground when it began to ascend. The balloon climbed at a rate of 15 feet per minute. Let t represent the time in minutes since the balloon began climbing. Write an algebraic equation for a sequence that can be used to find the height, h, of the balloon after t minutes.
a. Make a table that shows the heights of the hot air balloon after climbing for 1,2,3, and 4 minutes
B. Let t represent the time in minutes since the ballon began climbing. Write and algebraic equation for a sequence that can be used to find the height, h, of the balloon after t minutes
C. Use your equation from part b to find the height, in feet, of the hot air balloon after climbing for 8 minutes
PLEASE HELP!!!!!!!!! I NEED THIS QUESTION. Would be greatly appreciated for the answer. Thank you
I Will give brainliest to the first one that answer
Need help ASAP
Answer:
B. 80 + 45 + 5x = 180
Step-by-step explanation:
In this problem, we are asked to construct an equation that can be used to solve for x.
The measures of the interior angles of a triangle add to 180º. Therefore, we can construct the following equation:
A + B + C = 180º
In this problem, we are given all of the shown triangle's angles: A = 80º, B = 45º, and C = 5xº. Thus, we can plug those values in for A, B, and C in the above equation.
80º + 45º + 5xº = 180º
This happens to be option B.
Answer: 80+45+5x=180
Step-by-step explanation: Angles in a triangle sum up to 180 degrees.
ANSWER PLEASE QUICK
1. Ishaq put $700 into a Certificate of Deposit (CD) account that earns 1.8% interest each year. What will the interest of the CD account be after 6 years?
Which equations shows the variable terms isolated on one side and the constant terms isolated on the other side for the equation 3x - 5 = -2x + 10? Select two options.
A. x = 5
B. –15 = –5x
C. 5x = 15
D. –15 = 5x
E. x = -5
Answer:
A. No Solutions
B. X=3
C. X=3
D. No Solutions
E. No S
What percent of 130,930 equals 95
Answer:
147.29%
Step-by-step explanation:
consider the expression 4(8x+5)
complete 2 descriptions of parts the expression
1. the entire expression is the product of ____.
2. on its own, (8x+5) is a sum with ___.
the choices are
2 factors
3 factors
2 terms
3 terms
.
..
.
.
.
.
.
.
.
.
.
.
.....
.
..
.
Answer: 2 factors 2 terms
Step-by-step explanation:
Nya wants to buy a sweater that had an orignial price of $55. The sweater is now discounted 20% and the sales tax rate is 5.5%. How much will Nya (Ichi Ni Sy Nya Arigatooo) pay for the sweater?
Answer:
Step-by-step explanation:
Please answer it brainless
Answer:
[tex]y=\frac{1}{2}x+1[/tex]
Step-by-step explanation:
We have the one tablet taken to start so that is where the +1 comes from.
We also have the 1/2 tablet taken each month after that so it is 1/2 times the number of months x.
last summer at Gilliam Grant day camp the ratio of the number of counselors to the number of campers was 3 : 11. if there were a total of 168 people at the camp including counselors and campers how many counselors were there? how many campers were there?explain
Answer: the number of counselors is 312 = 36, and the number of campers is 1112 = 132
Step-by-step explanation:
To determine the number of counselors and campers at Gilliam Grant day camp, we can use the information provided in the ratio: 3 : 11.
This ratio tells us that for every 3 counselors, there are 11 campers. To find the total number of counselors and campers, we can set up the following equation using the information provided:
3x + 11x = 168 (x represents the number of counselors or campers)
14x = 168
x = 12
So the number of counselors is 312 = 36, and the number of campers is 1112 = 132
We can also check that the total number of counselors and campers is equal to 168 by adding 36 + 132 = 168
Cubes needed to fill Prism 6:_____cubes
Volume of Prism 6: _______cubic units. (sorry if the pic is messy.) HELP ME I need to FINISH TONIGHT I'm GIVING OUT 30 POINTS!!!!!!
Answer:
125 cubic units
Step-by-step explanation:
the volume formula is length x width x height.
because the length, width, and height of the prism are all 5 units, the volume of the prism is 125 cubic units.
hope this helped, good luck!
Answer the questions below:
Answer:
sorry to tell you I don't understand your question
A rectangular prism is 2 inches by 4 inches by 6 inches.
Kimaya says, “It takes more 2/5-inch cubes to fill the prism than 1/5-inch cubes.”
Do you agree with Kimaya? Explain or show your reasoning.
No, I do not agree with Kimaya. The volume of the rectangular prism is 2 inches x 4 inches x 6 inches = 48 cubic inches. To fill the rectangular prism with 2/5-inch cubes, you would need 48 cubic inches / (2/5) cubic inches per cube = 120 cubes. To fill the rectangular prism with 1/5-inch cubes, you would need 48 cubic inches / (1/5) cubic inches per cube = 240 cubes.
So, it takes less 2/5-inch cubes to fill the prism than 1/5-inch cubes.
Another way to think of it is that the larger the cubes, the less number of cubes you need to fill the same volume, as the cubes are larger in size.
Okay i need help with this math (I am also lazy -_-)
please help i need this very soon
Answer:
for a it is $20
for b it is $10
Can you give me the answer to this? Thank you!
Answer:Multiply or divide in order left to right
Step-by-step explanation:
Can someone pls help?!
Find the product of........ The rest of the question is down below.
Answer: The answer is −2x+14 just take away the parentheses.
What is the surface area of this right rectangular prism with dimensions of 4 centimeters by 4 centimeters by 6 centimeters?
Answer:
128
Step-by-step explanation:
A=2(wl+hl+hw)=2·(4·4+6·4+6·4)= 128
Find the algebraic expression:
36a+28
Answer:
Step-by-step explanation:
4(9a+7)
Can you solve this for me? Thank you! :>
Answer:
Whatever you do one one side of the equal sign, you must do on the other side.
Step-by-step explanation:
Determine whether the survey question may be biased.
Do you think that the city council should approve the construction of a skate park in our town?
Answer: Yes they should and no it's not biased
Step-by-step explanation: I don't know my opinion is that it isn't bias
Can you solve this for me? Thank you! :>
Answer:
B
Step-by-step explanation:
< just means more of and since it says more than 250 the answer would have to be something grater than 250
Hope this helps!
Help PLEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEASE
Answer:
y = 7x - 16
Step-by-step explanation:
slope = y2-y1/x2-x1
slope = 12 - (-9)/4-1
slope = 7
Y-intercept = -9-7
Y-intercept = -16
Y = 7x-16
40 points to whoever answers this right :)
Answer:
the answer to your question is -2
Can you solve this for me? Thank you! :>
Answer:15
Step-by-step explanation:
[tex]\frac{2}{3}x[/tex]=10
Do the opposite in your equation to the value given[tex]\frac{2}{3} /\frac{2}{3}[/tex]=10÷[tex]\frac{2}{3}[/tex]
solve the equation using cross canceling[tex]\frac{2}{3}[/tex] cross cancels each other out just leaving x on the left side
10÷[tex]\frac{2}{3}[/tex]
(keep change flip)[tex]\frac{10}{1}[/tex]x[tex]\frac{3}{2}[/tex]
Cross cancel[tex]\frac{5}{1}[/tex]x[tex]\frac{3}{1}[/tex]
Leaving you with5x3=15
Leaving your final equationx=15
Hope this helps! Good luck!
Answer:
it is 15
hope you like it
hi samarelhedok
HELP HELP HELP HELP
I need math
DUE today
Answer:
1.<3592
2.<623
3. <942
4. <829
5.692
6.986
Step-by-step explanation: