Answer:
A part of a whole expressed in hundredths is a percent.
what is the volume in cubic ft of a rectangular prism with a height of 17ft a width of 13 ft and a length of 12ft
Answer:
The answer is 2652 ft^3 (cubed)
Step-by-step explanation:
To find the volume of a rectangular prism, you need to multiply base X height or Bh.
1. Multiply length by width12 X 13 = 156 ft^2 (squared)2. Multiply base by height156 ft (squared) X 17 ft = 2652 ft^3 (cubed)Answer:2654
Step-by-step explanation:
Edgardo has a drink cooler that holds 4 gallons of water. He is filling the cooler with a 1−quart container. How many times will he have to fill the quart container to fill the cooler?
Answer:
16 times
Step-by-step explanation:
Given:
Edgardo has a drink cooler that holds 4 gallons of water.
He is filling the cooler with a 1−quart container.
Question asked:
How many times will he have to fill the quart container to fill the cooler?
Solution:
Capacity of container = 1 quart
As we know:
1 quart = 0.25 gallon
Edgardo has to fill drink cooler having capacity of 4 gallons.
0.25 gallon is filled by filling the container = 1 time
1 gallon is filled by filling the container = [tex]\frac{1}{0.25}[/tex] times
4 gallons is filled by filling the container = [tex]\frac{1}{0.25}\times4=16\ times[/tex]
Thus, he will have to fill the quart container 16 times to fill the cooler.
4x - 9y = -21
- 4x – 3y = 9
Answer:
(-3,1)
y= 1
x= -3
Step-by-step explanation:
4x-9y=-21
-4x-3y=9
solve the equation
4x=-21+9y
-4x-3y=9
substitute the value of 4x onto an equation
-1(-21+9y)-3y=9
multiply -1 to the numbers in parenthesis
-21+-9-3y=9
add -9 to 9 and put the negative on nine as a positive.
-21-3y=18
add -21 to 18 but since 21 is a negative the equation is subtraction.
-3y=-3
divide Both sides by -3
y=1
substitute the value of y into an equation
-4x-3•1=9
multiply 3 to 1
-4x-3=9
put -3 as a positive and add 3 to 9
-4x=12
divide both sides by -4
x= -3
(-3,1)
The solution for x and y in the given equations is x = 27 and y = 11.
Let's consider the second equation, -x + 3y = 6, and rewrite it in the form ax + by = c.
To get the equation in the required form, we'll rearrange the terms:
-x + 3y = 6
Add x to both sides:
3y = x + 6
Now, subtract 6 from both sides:
3y - 6 = x
This equation can be rewritten in the form ax + by = c by swapping sides:
x = 3y - 6
Now, let's substitute this expression for x into the first equation: 4x - 9y = 9.
4x - 9y = 9 becomes 4(3y - 6) - 9y = 9.
Simplify the equation: 12y - 24 - 9y = 9.
Combine like terms: 3y - 24 = 9.
Add 24 to both sides: 3y = 33.
Divide both sides by 3: y = 11.
Substitute y = 11 into x = 3y - 6: x = 3 × 11 - 6.
Calculate: x = 33 - 6 = 27.
Therefore, the solution for x and y in the given equations is x = 27 and y = 11.
Complete Question:
4x-9y=9; -x+3y=6 Rewrite one of the two equations above in the form ax + by = c, where a, b, and c are constants, so that the sum of the new equation and the unchanged equation from the original system results in an equation in one variable.
Stephanie wants to check if the top of a side table she saw for sale is perfectly rectangular. She measured the dimensions of the table and found the following:
Length of table: 15 inches
Width of table: 7.5 inches
Diagonal length of table: 17 inches Is the table perfectly rectangular?
Using the Pythagorean theorem to check for a right angle, Stephanie's table measurements of 15 inches by 7.5 inches with a diagonal of 17 inches do not satisfy the theorem. Hence, the table is not perfectly rectangular.
To determine if Stephanie’s table is perfectly rectangular, we can apply the Pythagorean theorem, which states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. If the table is perfectly rectangular, the diagonal should be the hypotenuse of a right triangle formed by the length and width of the table.
The formula for the Pythagorean theorem is “a2 + b2 = c2”, where c is the hypotenuse, and a and b are the other two sides of the triangle. For Stephanie’s table: Length (“a”) = 15 inches, Width (“b”) = 7.5 inches, and Diagonal length (“c”) = 17 inches.
Let’s calculate it:
a^2 = 15^2 = 225
b^2 = 7.5^2 = 56.25
c^2 = 17^2 = 289
Add a2 and b2 together:
225 + 56.25 = 281.25
Since 281.25 is not equal to 289, the table is not perfectly rectangular because the measurements do not satisfy the Pythagorean theorem.
The table is not perfectly rectangular because the measured diagonal does not satisfy the Pythagorean Theorem with the given length and width.
To determine if Stephanie's table is perfectly rectangular, we can use the Pythagorean Theorem, which states that for a right-angled triangle, the square of the length of the hypotenuse (diagonal) is equal to the sum of the squares of the other two sides.
Let's denote:
Length (L) = 15 inches
Width (W) = 7.5 inches
Diagonal (D) = 17 inches
According to the Pythagorean Theorem:
D2 = L2 + W2
Now, substitute the given values:
172 = 152 + 7.52
289 = 225 + 56.25
289 = 281.25
Since 289 is not equal to 281.25, the table is not perfectly rectangular. Therefore, the measurements indicate that the table does not form a perfect rectangle.
Find the center and the radius of the circle given the equation of a circle
below.
(x - 2)^2 + (y – 5)^2 = 49
A: Center: (2,5) & Radius=7
B: Center: (5,2) & Radius=49
C: Center: (-2,-5) & Radius=49
D: Center: (-5,-2) & Radius= 7
Option A) Center: (2,5) & Radius=7 is the correct one.
Step-by-step explanation:
The general form of the equation of the circle is given as :
⇒ (x-h)² + (y-k)² = r²
where,
(h, k) are coordinates of the center point of the circle.r is the radius of the circle.Therefore, you need to compare the given equation with the general equation of the circle.
The given equation of circle is (x-2)² + (y-5)² = 49
From the given equation, it can be determined that
h = 2 and y = 5 and r² = 49
The center (h,k) of the circle is (2,5).
To find the radius r :
⇒ r² = 49
⇒ r = 7
The radius of the circle is 7.
∴ Option A) Center: (2,5) & Radius=7 is the correct one.
David is a car salesman. He earns a salary of $750 a month, plus a commission of $300 per car that he sells. David needs to earn a minimum of $3,500 per month. write an inequality, for the number of sales he needs to make.
Answer:
3500-750=2750
2750/300=9.1677
he gets 750 per month .. this means he is sure to get $750 every month.. so he already have $750 out of the 3500 so I subtract it... and 300 per car ,so I divide it , so that I can get the amount of car he needs to sell to get 3500
The inequality representing the minimum number of cars David needs to sell to earn at least $3,500 per month is x>=10, with x being the number of cars sold.
To determine the inequality for the number of sales David needs to make to earn a minimum of $3,500 per month, we consider his monthly income which includes a base salary and commission for cars sold. David earns a base salary of $750 plus a commission of $300 for each car he sells. Let's denote the number of cars David sells in a month as x.
The total monthly income David gets from commission by selling x cars is $300x. So, the total monthly income David earns is $750 (base salary) plus $300x (commission from sales), or $750 + $300x in total.
Since David needs to earn at least $3,500 monthly, his total monthly income must be greater than or equal to $3,500. We can represent this as the following inequality:
$750 + $300x >=$3,500
To find the minimum number of cars David needs to sell, we now solve for x:
Subtract $750 from both sides: $300x >=$2,750.Divide both sides by $300: x >=9.17.Since David cannot sell a fraction of a car, he needs to sell at least 10 cars to meet his financial goal.
Therefore, the inequality for the number of sales David needs to make at least $3,500 per month is x >=10.
Determine the surface area of the triangular prism below
A. 2,001
B. 2,376
C. 2,592
D. 4,320
Answer:
2376 square feet
Step-by-step explanation:
40 x 15 = 600
40 x 24 = 960
1/2 x (24 x 9) = 108
600 + 600 + 960 + 108 + 108 = 2376
find the slope of the line (-3,-3) (1,1)
Answer: The slope is m = 1
Step-by-step explanation:
-To find the slope, you need the slope formula:
[tex]m=\frac{y2-y1}{x2-x1}[/tex] where you have [tex](x1,y1)[/tex] and [tex](x2,y2)[/tex] on the equation.
-Next, you put the two points to the equation:
[tex]m=\frac{1+3}{1+3}[/tex]
-And then you solve the equation:
[tex]m=\frac{1+3}{1+3}[/tex]
[tex]m=\frac{1+3}{1+3} = \frac{4}{4}=1[/tex]
[tex]m=1[/tex]
The slope of line having (-3,-3) (1,1) as points is 1 .
Given,
Points: (-3,-3) (1,1)
To find the slope, you need the slope formula:
m = y2 -y1 /x2 - x1
Here,
(x1 , y1 ) = (-3,-3)
(x2 , y2) = (1,1)
So,
Substitute the values in slope formula ,
m = y2 -y1 /x2 - x1
m = 1 - (-3)/1 - (-3)
m = 4/4
m = 1
Thus the slope of line is 1 .
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What is the surface area of the square pyramid?
The surface area is ____ yd2.
Answer:
16
Step-by-step explanation:
Answer:
it is 16
Step-by-step explanation:
The lifespans of lizards in a particular zoo are normally distributed. The average lizard lives 3.1 years; the standard deviation is 0.6 years. Use the empirical rule (68-95-99.7%) to estimate the probability of a lizard living longer than 2.5 years.
(Please help!!)
Answer:
84%
Step-by-step explanation:
Using the formula of z=(x-mean)/standard deviation. You get a z score of -1. Given the Empirival rule, 68% of all the values fall within 1 standard deviation. So the remaining 32% of values fall outside of this range. Since we have a negative 1, we only care about the lower half or 16%. In context of the problem this means that 16% of the all lizards live less than 2.5 years, so since the questions asks the opposite, we just subtract that value from 100%. 100-16=84
I need help. Look at picture
Choose 1 answer:
A. -4.63 x 10^13
B. -28.7
C. -1.65
D. -0.14
Helllllllllppppp plllllsssss
Ryder found the volume of the figure below by using the steps shown.
A rectangular prism with a length of 40 millimeters, width of 30 millimeters, and height of 5 millimeters. A rectangular pyramid with a base of 30 millimeters by 40 millimeters and a height of 95 millimeters.
Total Volume = B h + one-half B h
Equals 5 (40) (3) + one-half (40) (30) (95)
Equals 6,000 + 57,000
Equals 63,000 cubic millimeters
What mistake, if any, did Ryder make?
Ryder determined the volume correctly.
Ryder used the wrong formula for the total volume.
Ryder used the wrong height for the pyramid.
Ryder did not apply the order of operations correctly.
The total volume of the figure is 44000 mm³. Ryder used the wrong formula for the total volume.
The composite figure is formed by combinning pyramid and a rectangular prism.
Volume of a rectangular prismvolume of rectangular prism = Bh
where
B = base areah = height of the rectangular prismVolume of a rectangular pyramidvolume of rectangular pyramid = 1 / 3 Bh
where
B = base areah = height of the pyramidTherefore, the total volume is as follows:
total volume = Bh + 1 / 3 Bh
total volume = 40 × 30 × 5 + 1 / 3 (30 × 40) × 95
total volume = 6000 + 1 / 3 (114000)
total volume = 6000 + 38000
total volume = 44000 mm³
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INVESTING Maria invests $1000 in a savings account that pays 4% interest compounded annually. The value of the account A at the end of five years can be determined from the equation log10 A = log10[1000(1 + 0.04)5]. Write this equation in exponential form
Answer:
[tex]A=1000(1+0.04)^5[/tex]
Step-by-step explanation:
-The general expression of an exponential function is :
[tex]A=P(1+r)^n[/tex]
where:
[tex]A[/tex] is the amount after time t.[tex]P[/tex] is the initial amount[tex]r[/tex] is the rate of growth[tex]t[/tex] is the time.We substitute our parameter values in the equation as:
[tex]A=1000(1+0.04)^5[/tex]
Final answer:
To write the given equation in exponential form, raise the base value of 1000 to the power of (1 + 0.04)⁵.
Explanation:
To write the given equation in exponential form:
Start with the base value, in this case, 1000.
Raise the base to the power of the exponent, which is (1 + 0.04)⁵.
The exponential form would be 1000 * (1 + 0.04)⁵.
Which is the solution to the system of equations:
x + y = -7
3x + 2y = -17
O (-1,-6)
O (3, -13)
O (4, -11)
O (-3,-4)
Answer:
HOW IS THIS HIGH SCHOOL?! ITS SO EASY ITS D
Step-by-step explanation:
Answer:
The fourth one
Step-by-step explanation:
if you plug the values in then you would get
(-3) + (-4) = -7
3(-3) + 2(-4) = -17
-7 = -7
-8 + -9 = -17
-17 = -17
True
if m∠XAB = 32, what is m∠BAC?
A.) 16
B.) 58
C.) 64
D.) 32
Answer:
the answer is c
Step-by-step explanation:
the picture in the attached figure
we know that
The construction shown is an angle bisector
m<XAB=m<CAX
so
m<BAC=2*[m<XAB]-----> 2*32°----->m<BAC= 64°
Consider this study: A New York Times article published on April 24, 2007, reported the research of Dr. Giorgio Vallortigara, a neuroscientist at the University of Trieste, Italy, and his two colleagues. The researchers asked whether a dog wags its tail in a preferred direction in response to positive stimuli and in another direction in response to negative stimuli. To answer their question, they recruited 30 dogs that were family pets. Filming each dog from above, they allowed it to view (through a slat in its cage) three positive stimuli separately, in order of descending positivity: its owner, an unfamiliar human, and a cat. All the dogs responded by wagging their tails to the right. But when the dogs were presented with an unfamiliar, aggressive dog, a negative stimulus, all dogs wagged their tails to the left. Which of the following statements is the research hypothesis for this study?
a. A dog's tail will wag differently in response to positive stimuli and to negative stimuli.b. A dog's tail will wag more to the left in response to positive stimuli and more to the right in response to negative stimuli.c. A dog's tail will wag more to the right in response to positive stimuli and more to the left in response to negative stimuli.d. There will be no difference in a dog's tail wagging while viewing positive and negative stimuli.
Answer:
a. A dog's tail will wag differently in response to positive stimuli and to negative stimuli.
Step-by-step explanation:
A research hypothesis is a proposition that can be tested about the possible outcome of a study based on different stimuli.
A research hypothesis is a specific, clear, and testable proposition or predictive statement about the possible outcome of a scientific research study based on a particular property of a population, such as presumed differences between groups on a particular variable or relationships between variables.
Before a quantitative study takes place, it is important to state the research hypothesis because it is very important to the study.
There is usually an expectation or predicted outcome of the study because the research is determined by the hypothesis.
So it was already hypothesised that a dog would wag its tail in a preferred direction when it is faced with negative or positive stimuli. So the hypothesis was tested as different sets of dogs were placed in a cage and introduced to different stimuli.
From the observation of the researchers, all the dogs wagged their tails to the right when they saw a familiar face (positive stimuli) and wagged their tails to the left when they faced an aggressive dog (negative stimuli)
Brainliest answer
Jack has 2 apples he gives one away to his sister how much apples does jack have left.
Answer:
1
Step-by-step explanation:
Answer:
1 apple
Step-by-step explanation:
2 - 1 = 1 <3
The circumference of a circle is 31.4 miles. What is the circle's radius?
Answer:
About 5 miles or 4.9974 miles
Step-by-step explanation:
Formula: C = 2*π*r
31.4 miles = 2*π*r
Solve for r, the radius
r = 31.4 / 2*π = 4.9974 miles or about 5 miles
A student draws the net below to show the dimensions of the container that is shaped like a right rectangular prism. What is the surface area , in square inches of the container?
Answer:
The correct option is;
D) 62 in²
Step-by-step explanation:
Here we have from the drawing, the dimensions of the right rectangular prism are;
Height = 2 in.
Width = 5 in
Length = 3 in
Therefore the surface area is found as follows;
Surface area of right rectangular prism = 2 × Height × Width + 2 × Height × Length + 2 × Width × Length
Surface area of right rectangular prism = 2 × 2 × 5 + 2 × 2× 3+ 2 × 5× 3 = 20 + 12 + 30 = 62 in².
y = 6x - 14
y = - 8x
Answer:
x = 1 and y = -8x
Step-by-step explanation:
Answer:
{y,x} = {-8,1}
Step-by-step explanation:
Solve by Substitution :
// Solve equation [2] for the variable y
[2] y = -8x
// Plug this in for variable y in equation [1]
[1] (-8x) - 6x = -14
[1] - 14x = -14
// Solve equation [1] for the variable x
[1] 14x = 14
[1] x = 1
// By now we know this much :
y = -8x
x = 1
// Use the x value to solve for y
y = -8(1) = -8
Solution :
{y,x} = {-8,1}
what is the answer to log100
Answer:
the answer is 2
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
Tablet: $439, 40% off find the discount
Answer:
439 x 0.4 = 175.6 so the discount is 175.6
Step-by-step explanation:
40% is equal to 0.4 and you just multiply. If you want to find the discount price just subtract the discount off.
Hope this helps can I have brainliest
Final answer:
The discount on the tablet is $175.60.
Explanation:
To calculate the discount on the tablet which is 40% off the original price of $439, we need to use the formula:
Discount = Original Price × Discount Rate
Therefore:
Discount = $439 × 40%
First, convert 40% into a decimal, which is 0.40:
Discount = $439 × 0.40
Do the multiplication to find the discount:
Discount = $175.60
So, the discount is $175.60, and the tablet would then cost $439 - $175.60 = $263.40 after applying the discount.
Un local de Santa Bárbara fue pintado por 4 personas emprendedoras que se unieron para montar un negocio de lácteos; Juan, Pedro, Carlos y Mario; Juan pintó 2/7 del local, Pedro pintó 5/14 y Carlos pintó 2/14; ¿qué fracción pintó Mario?
Answer:
The proportion of premises painted by Mario is [tex]\frac{3}{14}[/tex].
Step-by-step explanation:
The question is:
A local in Santa Bárbara was painted by 4 enterprising people who got together to start a dairy business; Juan, Pedro, Carlos and Mario; Juan painted 2/7 of the premises, Pedro painted 5/14 and Carlos painted 2/14; What fraction did Mario paint?
Solution:
Consider the proportion of the total premises painted is 1.
The four enterprising people who got together to start a dairy business are:
Juan (J), Pedro (P), Carlos (C) and Mario (M).
The proportion of premises painted by Juan is:
[tex]P(J)=\frac{2}{7}[/tex]
The proportion of premises painted by Pedro is:
[tex]P(P)=\frac{5}{14}[/tex]
The proportion of premises painted by Carlos is:
[tex]P(C)=\frac{2}{14}[/tex]
Compute the proportion of premises painted by Mario as follows:
P (M) = 1 - P (J) - P (P) - P (C)
[tex]=1-\frac{2}{7}-\frac{5}{14}-\frac{2}{14}\\=\frac{14-4-5-2}{14}\\=\frac{3}{14}[/tex]
Thus, the proportion of premises painted by Mario is [tex]\frac{3}{14}[/tex].
Find the value of x
46.
92.
78.
98.
Answer:
x = 92
Step-by-step explanation:
The segment of measure 46 joins the midpoints of 2 sides of the triangle and is one half the measure of the third side, thus
x = 2 × 46 = 92
Mike claims that (2^3)^5= 2^15. Sarah claims that (2^3)^5= 2^8. Who is correct? Explain your reasoning.
Mike is correct, because the rules for powers and exponentiation say that when you elevate a certain base which is already being elevated to a certain power, the powers multiply.
This means that:
[tex] {( {a}^{b} )}^{c} = {a}^{bc} [/tex]
Or, using your example:
[tex] {( {2}^{3} )}^{5} = {2}^{3 \times 5 } = {2}^{15} [/tex]
To find the average or mean of a set of numbers, add up all the items and divide by…?
Answer: divide it by the number of numbers you added up.
Step-by-step explanation:
For example, let's say you had to find the average of 1, 2, and 3. You add all the numbers up to get 6. Since you had to add 3 numbers together (1, 2, 3) to get 6, you divide 6 by 3 to get the mean/average, which in this case, is 2
To find the average or mean of a set of numbers, add up all the items and divide by how many numbers there are.
How do you find the average set of numbers that add up all the items and divide by?The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words, it is the sum divided by the count.
How do you find the mean in a set of numbers?The mean, or average, is calculated by adding up the scores and dividing the total by the number of scores.
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(25 points) Find the probability that a randomly selected student drives to school.
Answer:
2/5
Step-by-step explanation:
40 students drive to school
40/100 drive to school
2/5
Step-by-step explanation:
Hello there!
Add all of the values in the table to get the total amount of students.
25+25+20+13+5+5+3+2+2=(70)+(23)+(4)=97
Then, make your probability:
P(Drive to school)=(How many students drive)/(All students)
P=40/97
;)
NEED HELP ASAPPP !! find the y-intercept of the line of the graph.
Answer:
the Y intercept is (0,-2)
Step-by-step explanation:
It is the point on the graph which the line goes through the Y axis
Simplify this equation p+p+3 = 13*
O 2+p+ 2 = 13
O 2p+ 3 = 13
O
2p = 10
Answer:
P=3 hope this helps! Sorry if I get it wrong. Hope I get brainliest! :D
Step-by-step explanation:
Simplifying
3p + -1 = 5(p + -1) + -2(7 + -2p)
-1 + 3p = 5(p + -1) + -2(7 + -2p)
-1 + 3p = 5(-1 + p) + -2(7 + -2p)
-1 + 3p = (-1 * 5 + p * 5) + -2(7 + -2p)
-1 + 3p = (-5 + 5p) + -2(7 + -2p)
-1 + 3p = -5 + 5p + (7 * -2 + -2p * -2)
-1 + 3p = -5 + 5p + (-14 + 4p)
-1 + 3p = -5 + -14 + 5p + 4p
-5 + -14 = -19
-1 + 3p = -19 + 5p + 4p-1 + 3p = -19 + 9p
Solving
-1 + 3p = -19 + 9p
Solving for variable 'p'.
Move all terms containing p to the left, all other terms to the right.
Add '-9p' to each side of the equation.
-1 + 3p + -9p = -19 + 9p + -9p
Combine like terms: 3p + -9p = -6p
-1 + -6p = -19 + 9p + -9p
Combine like terms: 9p + -9p = 0
-1 + -6p = -19 + 0
-1 + -6p = -19
Add '1' to each side of the equation.
-1 + 1 + -6p = -19 + 1
Combine like terms: -1 + 1 = 0
0 + -6p = -19 + 1
-6p = -19 + 1
Combine like terms: -19 + 1 = -18
-6p = -18
Divide each side by '-6'.
p = 3
Simplifying
p = 3
30 points and brainliest
Answer:A
Step-by-step explanation:
Because 4 is negative and would go left and 5 is positive so it would go up