which of the following is the solution
An open box is formed from a rectangular piece of cardboard, whose length is 3 inches more than it's width, by cutting 3 inch squares from each corner and folding up the sides. if the volume of the box is to be 264 in^2, find the size of the original piece of cardboard. what are the original dimensions of the piece of cardboard
A survey of patients at a hospital classified them by sex and blood type, as shown in the table. What percent of all patients are male? [Round answer to the nearest tenth of a percent.]
A blood type: 105 male, 93 female. B blood type: 99 male, 84 female. O blood type: 160 male, 140 female. AB blood type: 15 male, 18 female.
A.) 47.0%
B.) 47.8%
C.) 53.1%
D.) 54.1%
Answer:
C) 53.1%
Step-by-step explanation:
53.1% is correct. There are 714 patients in the table, 379 of whom are male, so the answer is
379
714
or .531.
If ABC ~ DEF what is the length of AC?
Suppose that there are 67 butterfly species for every 22,000 insect species and there are 15,000 to 22,000 species of butterflies worldwide. how many insect species are there
Answer:
There are 4,925,250 to 7,223,700 insect species worldwide.
Step-by-step explanation:
Supposing that there are 67 butterfly species for every 22,000 insect species and there are 15,000 to 22,000 species of butterflies worldwide, in order to know how many insect species are there we have to do the following calculation:
22,000 (insect species) / 67 (butterfly species) = X (relation of butterfly and insect species)
22,000 / 67 = X
328.35 = X
There are 328.35 insect species for every butterfly species.
So, as there are 15,000 to 22,000 species worlwide, we have to multiply those numbers by 328.35 to know the total amount of insect species:
15,000 x 328.35 = 4,925,250
22,000 x 328.35 = 7,223,700
There are 4,925,250 to 7,223,700 insect species worldwide.
what is the value of y
HELP PLEASE!!
Susan keeps track of the number of tickets sold for each play presented at the community theater. within how many standard deviations of the mean do all the values fall?
135, 71, 69, 80, 158, 152, 161, 96, 122, 118, 87, 85.
Which is the best estimate for (8.9x10^8)/(3.3x10^4) written in scientific notation? A. 3x10^2 B. 6x10^2 C. 3x10^4 D. 6x10^4
Answer:
Option C
Step-by-step explanation:
The given expression is[tex]\frac{8.9\times 10^{8}}{3.3\times 10^{4}}[/tex]
Now we have to solve this.
[tex]\frac{8.9\times 10^{8}}{3.3\times 10^{4}}[/tex]
[tex]=\frac{8.9}{3.3}\times \frac{10^{8}}{10^{4}}[/tex]
= 2.70 × 10⁽⁸⁻⁴⁾
= 2.70 × 10⁴
≈ 3 × 10⁴
Therefore, Option C is the answer.
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Which expressions are equivalent to the one below?check all that apply.
The equivalent expressions are (b) (7 * 7)^x , (c) 7^x * 7^x and (e) 7^(2x)
What is an expression?An expression is any mathematical statement which consists of numbers, variables and an arithmetic operation between them. In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
here, we have,
to determine the equivalent expressions:
The expression is given as:
49^x
Express 49 as 7 * 7
(7 * 7)^x ---- option (b)
Express 7 * 7 as an exponent
7^(2x) ---- option (e)
Express 2x as x + x
7^(x +x)
Expand
7^x * 7^x --- option (c)
Hence, the equivalent expressions are (b), (c) and (e)
Read more about equivalent expressions at:
brainly.com/question/27911936
#SPJ5
Which expression is equivalent to ^3√258x^10y^7 I NEED THIS NOW PLEASE
Describe what is meant by the statement “Renting can restrict ones lifestyle.”
Answer:
You have to follow the landlord/owner's rules. For example, if you are renting an apartment and want to have a pet, but your landlord says no then you can't get a pet, or you'll be kicked out.
Nick gets out of school at 2:25 p.m he gas a 15-minute ride home on the bus. Next he goes on a 30-minute bikr ride. Then he spens 55 minutes doing homework. At what time does nick finsh his homework?
A 10-foot ramp must make an angle of 30degrees with the ground if it is to reach a certain window. What angle must a 15-foot ramp make with the ground to reach the same window?,
Lisa bought a share of stock for $48.24. She was paid a dividend of $12.06. What percent of the stock price is the dividend?
Answer:
The Percent of the Dividend is 25% of the Stock Price
Step-by-step explanation:
The Percent of the Dividend of the share of stock is calculated by the following formula.
[tex]P = \frac{1}{S} * D[/tex]
Where P is the percent of the dividend, S is the Stock Price, and D is the Dividend payment. Since we have all this information already we can just plug that into the formula to find out what percent of the Stock Price is the Dividend payment.
[tex]P = \frac{1}{48.24} * 12.06[/tex]
[tex]P = 0.020729*12.06[/tex]
[tex]P = 0.25[/tex]
We then turn the decimal into a percent, which gives us 25%.
I hope this answered your question. If you have any more questions feel free to ask away at Brainly.
Part A
Read the following sentences from the passage.
John James lived in Nantes, France, when he was a small boy, although he was born in Louisiana. His father was a wealthy French gentleman, an officer in the French navy, and was much in America, so that John James was first in France and then in America until he was about twenty - five, at which time he settled in his native country for good.
Which explains the meaning of the word native ?
Question 1 options:
a person from another country
a person who moves from country to country
a person who loves his/her country
a person born in a certain place or country
Answer : a person born in a certain place or country
the word 'native' means "of indigenous origin or growth".
John James was of French origin although he was born in America.So, his native country would be France to which he finally shifted when he was 25 years old.
What is the measure of angle C?
Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth.
°
PLEASE HELP ME!! I HAVE TO WRITE EXPRESSIONS FOR THESE PROBLEMS BUT I DO NOT KNOW HOW TO....
Writing Expressions. Write expressions to describe each situation. Do NOT solve.
a) Lenny budgeted $55 to buy lunch for the next 7 days. If he buys a soda each day for $1.75, how much of his budget does he have left?
b) Mandy makes a monthly mortgage payment of $850. If she budgeted $11,000 of her salary for mortgage payments this year, what amount of this budget will remain after 12 months?
c) Tim is washing his car. He has $8.45 in his pocket when he starts washing his car. If he spends 18 quarters to wash his car, how much money does he have left?
What is the sum or difference?
1. 3x8 – 7x8
(1 point)–4x16
–21x8
–4x8
10x8
2. 6y5 – 9y5
(1 point)–3y10
15y5
–54y5
–3y5
Write the polynomial in standard form. Then name the polynomial based on its degree and number of terms.
3. 2 – 11x2 – 8x + 6x2
(1 point)–5x2 – 8x + 2; quadratic trinomial
–5x2 – 8x; quadratic binomial
–6x2 – 8x – 2; cubic polynomial
6x2 – 8x + 2; cubic trinomial
4. A biologist studied the populations of white-sided jackrabbits and black-tailed jackrabbits over a 5-year period. The biologist modeled the populations, in thousands, with the
Answer: 1) The answer is -4x^8, you just have to subtract 7 from 3 to get -4
Step-by-step explanation:
he given line passes through the points (−4, −3) and (4, 1).
What is the equation, in point-slope form, of the line that is perpendicular to the given line and passes through the point (−4, 3)?
y − 3 = (x + 4)
what is the sum of the finite arithmetic series (-5)+0+5+10+ ......+65
a. 900
b. 455
c. 450
d. 445
If you want to solve this problem using formulas, there are two important formulas:
t1 = first term = -5
tn = nth term = last term = -5
n = numbr of terms
Sn = sum of the n terms
tn = t1 + (n - 1)d ---> 65 = -5 + (n - 1)(5)
65 = -5 + 5n - 5
65 = -10 + 5n
75 = 5n
n = 15
Sn = n(t1 + tn)/2 ---> Sn = 15(-5 + 65)/2
Sn = 450
So ur answer rounds up to 450
Letter c
:)
hope i helped
~Luis
The sum of the arithmetic series is 450, option c. Calculation: (15/2) * (first term + last term).
To find the sum of a finite arithmetic series, we can use the formula:
[tex]\[ S_n = \frac{n}{2} \times (a_1 + a_n) \][/tex]
where:
- [tex]\( S_n \)[/tex] is the sum of the series,
- [tex]\( n \)[/tex] is the number of terms in the series,
- [tex]\( a_1 \)[/tex] is the first term of the series, and
- [tex]\( a_n \)[/tex] is the last term of the series.
First, we need to find the number of terms, [tex]\( n \)[/tex]. The series is an arithmetic sequence with a common difference of [tex]\( 5 \)[/tex]. The first term is [tex]\( -5 \)[/tex], and the last term is [tex]\( 65 \)[/tex].
To find the number of terms, we can use the formula for the [tex]\( n^{th} \)[/tex] term of an arithmetic sequence:
[tex]\[ a_n = a_1 + (n - 1) \times d \][/tex]
where [tex]\( d \)[/tex] is the common difference.
Given [tex]\( a_n = 65 \)[/tex], [tex]\( a_1 = -5 \)[/tex], and [tex]\( d = 5 \)[/tex], we can solve for [tex]\( n \)[/tex]:
[tex]\[ 65 = -5 + (n - 1) \times 5 \][/tex]
[tex]\[ 65 = -5 + 5n - 5 \][/tex]
[tex]\[ 65 = 5n - 10 \][/tex]
[tex]\[ 75 = 5n \][/tex]
[tex]\[ n = 15 \][/tex]
So, there are [tex]\( 15 \)[/tex] terms in the series.
Now, we can use the formula for the sum of a finite arithmetic series:
[tex]\[ S_n = \frac{n}{2} \times (a_1 + a_n) \][/tex]
Plugging in the values:
[tex]\[ S_{15} = \frac{15}{2} \times (-5 + 65) \][/tex]
[tex]\[ S_{15} = \frac{15}{2} \times 60 \][/tex]
[tex]\[ S_{15} = \frac{15}{2} \times 60 = \frac{15 \times 60}{2} \][/tex]
[tex]\[ S_{15} = \frac{900}{2} \][/tex]
[tex]\[ S_{15} = 450 \][/tex]
So, the sum of the series is [tex]\( 450 \)[/tex], which corresponds to option [tex]\( c \)[/tex].
Solve for X please
Need help
What is equivalent fraction of 2/3
The price of a toy usually costing £50 is increased to £65
Work out the percentage increase
What is the product in simplest form? State any restrictions on the variable. z^2/z+1 * z^2+3Z+2/z^2+3z
The correct answer is option c. The product in simplest form is [tex]& \frac{z(z+2)}{z+3}[/tex] with restriction of [tex]z \neq-1,0,-3[/tex].
To find the product in simplest form and state any restrictions on the variable, we'll follow these steps:
1. Simplify each fraction where possible.
2. Multiply the fractions together.
3. State the restrictions on the variable.
Given expression:
[tex]\[\frac{z^2}{z+1} \times \frac{z^2 + 3z + 2}{z^2 + 3z}\][/tex]
Step 1: Factor each polynomial where possible
- [tex]\( z^2 \)[/tex] cannot be factored further.
- [tex]\( z + 1 \)[/tex] cannot be factored further.
- [tex]\( z^2 + 3z + 2 \)[/tex] can be factored into [tex]\((z + 1)(z + 2)\)[/tex].
- [tex]\( z^2 + 3z \)[/tex] can be factored into [tex]\(z(z + 3)\)[/tex].
So the given expression becomes:
[tex]\[\frac{z^2}{z + 1} \times \frac{(z + 1)(z + 2)}{z(z + 3)}\][/tex]
Step 2: Simplify the expression by canceling common factors
First, rewrite the expression to see the common factors more clearly:
[tex]\[\frac{z^2}{z + 1} \times \frac{(z + 1)(z + 2)}{z(z + 3)} = \frac{z^2 \cdot (z + 1)(z + 2)}{(z + 1) \cdot z \cdot (z + 3)}\][/tex]
Now, cancel the common factors:
- [tex]\( z^2 \)[/tex] and [tex]\( z \)[/tex] in the numerator and denominator:
[tex]\[\frac{z \cdot (z + 1)(z + 2)}{(z + 1) \cdot (z + 3)}\][/tex]
- [tex]\( z + 1 \)[/tex] in the numerator and denominator:
[tex]\[\frac{z \cdot (z + 2)}{z + 3}\][/tex]
Step 3: Simplified expression and restrictions
The simplified expression is:
[tex]\[\frac{z(z + 2)}{z + 3}\][/tex]
Restrictions on the variable
- The denominators in the original expression cannot be zero.
- [tex]\( z + 1 \neq 0 \implies z \neq -1 \)[/tex]
- [tex]\( z(z + 3) \neq 0 \implies z \neq 0 \text{ and } z \neq 3 \)[/tex]
Thus, the variable restrictions are:
[tex]\[z \neq -1, \quad z \neq 0, \quad z \neq 3\][/tex]
The complete question is
What is the product in simplest form? State any restrictions on the variable.
[tex]& \frac{z^2}{z+1} * \frac{z^2+3 z+2}{z^2+3 z} \\ } \\[/tex]
[tex]a. & \frac{z^2+2 z}{z+3} ; z \neq-1,-3 \\b. & \frac{z+2}{z+3} ; z \neq-1,0,-3 \\c. & \frac{z+2}{z+3} ; z \neq-1,-3 \\d. & \frac{z(z+2)}{z+3}; z \neq-1,0,-3[/tex]
1.ADD (5x4 + 3x3 -x2 +16x)+(2x3 -3x2 -10x4 +x -1)
Ihave tried every possible correct answer and none of them seem to be right on any of these 3 questions please help
2.Subtract the following polynomials correctly.... (5x4 + 3x3 -x2 +16x) - (2x3 -3x2 -10x4 +x -1)
3.Multiply (5x4 + 3x3 -x2 +16x)(x5+2x-1)
Help please i don't have a graphing calculator and don't know how to use one.
Use the table feature on a graphing calculator to evaluate e^1.6 to four decimal places.
A. 4.953
B. 0.2019
C. 2.7183
D. 4.3493
Ms bean used 6 box of tea bags in 4 weeks there are 20 tea bags in each box how many tea bags did she use in 1 week
The height of a certain type of tree depends on the amount of sun it receives per year, described by the function Height(sun). What can be said about this function? Check all that apply.
A. Height is the dependent variable.
B. Height depends on sun.
C. sun is the output variable.
D. sun is the independent variable.
The Main answer is Option D. sun is the independent variable.
The height of a certain type of tree depends on the amount of sun it receives per year, described by the function Height(sun). sun is the independent variable can be said about this function.
In the given function Height(sun)
Height(sun), "sun" is the input variable, representing the amount of sun the tree receives per year. The height of the tree depends on the amount of sun it receives. Therefore, "sun" is the independent variable, as it is the input or the cause affecting the output, which is the height of the tree.
A. Height is the dependent variable.
B. Height depends on sun.
C. sun is the output variable.
These statements are incorrect because they incorrectly characterize the relationship between the variables. In this context, the height of the tree (Height) is dependent on the amount of sun (sun) it receives, making Height the dependent variable and sun the independent variable. So, options A, B, and C are incorrect.
COMPLETE QUESTION:
The height of a certain type of tree depends on the amount of sun it receives per year, described by the function Height(sun). What can be said about this function? Check all that apply.
A. Height is the dependent variable.
B. Height depends on sun.
C. sun is the output variable.
D. sun is the independent variable.
Randy is checking to determine if the expressions 2x+2+4x and 2(3x+1) are equivalent. When x=3, he correctly finds that both expressions have a value of 20. When x=2, he correctly evaluates the first expression to find that 2x+2+4x=14.What is the value of the second expression when x=2 and are the two expressions equivalent?
A. The value of the second expression is 7, so the expressions are not equivalent.
B. The value of the second expression is 12, so the expressions are not equivalent.
C. The value of the second expression is 14, so the expressions are equivalent.
D. The value of the second expression is 20, so the expressions are equivalent.
Answer:
c
Step-by-step explanation: