Answer:
The value of PR is 21 ft.Step-by-step explanation:
We know that:
3(PQ + QT + TP) = PR + RS + SPPQ = 7 ft.QT = 4 ftRS = 12 ft.Work:
3(PQ + QT + TP) = PR + RS + SP=> 3(7 + 4 + TP) = PR + 12 + SP=> 21 + 12 + 3TP = PR + 12 + SP=> 21 + 3TP = PR + SP => 21 + SP = PR + SP [3TP = SP]=> 21 = PRHence, the value of PR is 21 ft.
Hoped this helped.
\(BrainiacUser1357\)
Francis bought 5 holiday gifts that were between $42 and $87. What is a reasonable amount that he paid for the items?
Answer:
322.5$Step-by-step explanation:
Francis bought 5 holiday gifts that were between $42 and $87. What is a reasonable amount that he paid for the items?
we find the average between 42 and 87 and multiply by 5
[(42 + 87) : 2] * 5 =
(129 : 2 ) * 5 =
64.5 * 5 = 322.5$
The children went to the library. They wanted to read books
Answer:
Imma guess that it's a youth education program and library some teacher is planning for children to read for knowledge and excitement? :3
Step-by-step explanation:
:3
Lincoln has a coin collection. He keeps 3 of the coins in his box, which is 5% of the collection. How many total coins are in his collection?
Answer:
3 times 20 equals 60
Step-by-step explanation:
Answer:
60
Step-by-step explanation:
is/of = %/100
'x' = # coins
3/x = 5/100
cross-multiply
5x = 300
x = 60
What is the formula for the area of a circle?
O A. A = top
OB. A = aard
O C. A = 72,
O D. A = 2111
Howard pays $327 for one dozen collector’s edition baseball cards. About how much does he pay for each baseball card?
Answer:
Howard spent $27.25 for each baseball card.
Step-by-step explanation:
1 dozen = 12
Set up an equation:
327 ÷ 12
27.25
Answer:
27.25
Step-by-step explanation:
A quadrilateral is shown.
H
6.5
5.51
What is the area of the quadrilateral? Enter the answer in the box.
The calculated area of the quadrilateral is 35.82 square units.
What is the area of the quadrilateral?Given that
BAse = 6.5
Height = 5.51
To find the area of a quadrilateral, we need to multiply the base by the height.
Area of quadrilateral = base x height
Substituting the given values, we get:
Area = 6.5 x 5.51
Area = 35.815
Rounding to the nearest hundredth, the area of the quadrilateral is 35.82 square units.
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- Polynomials p(x) = 2ax2 - 4x + 2 and
g(x) = (5 + a)x2 - 4x + 2 are equal to each other. Find the value of a.
\(p(x) = g(x) \\ = > 2 {ax}^{2} - 4x + 2 = (5 + a) {x}^{2} - 4x + 2 \\ = > 2 {ax}^{2} - 4x + 2 = 5 {x}^{2} + {ax}^{2} - 4x + 2 \\ = > 2 {ax}^{2} - {ax}^{2} - {5x}^{2} - 4x + 4x = 2 - 2 \\ = > {ax}^{2} - 5 {x}^{2} = 0 \\ = > {x}^{2} (a - 5) = 0 \\ = a - 5 = 0 \\ = > a = 5\)
Answer:
a = 5
Hope you could understand.
If you have any query, feel free to ask.
Fine the missing length to the nearest 10th
The value of the missing length to the nearest tenth are;
a. x = 7.5
b. x = 7.8
What is Pythagoras theorem?Pythagoras theorem states that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse.
Therefore ;
c² = a²+b²
a. x² = 9²-5²
x² = 81-25
x² = 56
x = √56
x = 7.5 ( nearest tenth)
b. using Pythagoras theorem also!
x² = 6²+5²
x² = 36+25
x² = 61
x = √61
x = 7.8( nearest tenth).
Therefore the value of the missing values are 7.5 and 7.8
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A round pencil is sharpened to a cone shape at both ends.calculate the volume of the pencil if the two radius is 1.2 and heights are 8cm
Answer:
A round pencil is sharpened at both ends the hight of the pencil is 16cm the length of the pencil is 1cm the radius of the two sharpened ends is 16cm 1.2cm
Calculate the volume using the value 22/7.
Step-by-step explanation:
Selena is a freelance graphic artist who charges $65 per hour for her services. A client paid her $195 for her last project. The equation below represents this situation.
65h = 195
For how many hours did Selena work on that project?
Answer: 3 hours
Step-by-step explanation:
195/65=3
Answer:
3
Step-by-step explanation:
$195 divided by $65 is 3 hours of work
For each value of u determine whether it is a solution to -2u-6<-20
Answer:
u > 7
Step-by-step explanation:
-2u -6 < -20 Add 6 to both sides
-2u - 6 + 6 < -20 + 6
-2u < -14 Divide both sides by -2. When you multiply or divide both sides by a negative number, you must flig the sign.
\(\frac{-2u}{-2}\) > \(\frac{-14}{-2}\)
u > 7
Helping in the name of Jesus.
The answer is:
u > 7
In-depth explanation:
You haven't told me what the values of u are, but I'll solve the equation for u.
Add 6 on each side:
\(\bf{-2u-6 < -20}\)
\(\bf{-2u < -14}\)
Divide each side by -1 and reverse the sign:
\(\bf{2u > 14}\)
Now divide each side by 2
\(\bf{u > 7}\)
please answer number 2, show work
Answer:
its 48
Step-by-step explanation: its 48 because 6 x 8 is 48
I need help asap. Mathematics
The perimeter and area of the shape are 26 units and 21 units²
What is area and perimeter of shape?The area of a shape is the space occupied by the boundary of a plane figures like circles, rectangles, and triangles.
Perimeter is a math concept that measures the total length around the outside of a shape.
Find the length of the polygon
x = √3² +2²
x = √ 9+4
x = √13
= 7.2 units
y = √ 3² + 5²
y = √9+25
y = √34
y = 5.8 units
Perimeter = 2(x+y)
= 2( 7.2 + 5.8)
= 2 × 13
= 26 units
Area of triangle 1 = 1/2 × 6 × 2
= 6units²
Area of triangle 2 = 1/2 × 6 × 5
= 15 units
area of the polygon = 15 +6 = 21 units²
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A warehouse worker uses a forklift to move boxes that weigh either 45 pounds or 70 pounds each. Let x be the number of 45-pound boxes and y be the number of 70-pound boxes. The forklift can carry up to either 60 boxes or a weight of 3000 pounds.
The total number of boxes that a forklift can carry is???
The total weight that the forklift can carry is ______ 3000 pounds.
Greater than, Less than, or Equal to
Write an inequality that models the number of boxes the forklift can carry. The inequality should contain x, y, and an inequality sign.
Write an inequality that models the amount of weight the forklift can carry. The inequality should contain x, y, and an inequality sign.
Part a: total number of boxes carried by the forklift = 60.
Part b: Total weight carried by forklift is "less than" 3000 pounds.
Explain about the inequality equation?Both mathematical phrases, equations and inequalities, are created by connecting two expressions. The equal sign (=) indicates that two expressions in an equation are believed to be equivalent. The symbols >, <, ≤ or ≥. or indicate that the two expressions in an inequality are not always equal.
Given data:
x - number of 45-pound boxesy - number of 70-pound boxes.maximum weight 3000 pounds.Maximum number = 60.in equality formed are:
x + y ≤ 60 number .....eq1
45x + 70y ≤ 3000 pounds ...eq 2
Part a: total number of boxes carried by the forklift = 60.
Part b: Total weight carried by forklift is "less than" 3000 pounds.
Part c: inequality for number of boxes carried by the forklift.
From eq 1, x + y ≤ 60
Part d: inequality for amount of weight carried by the forklift.
From eq 2; x + y ≤ 60
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\((5+w)(w+4)=\)
Answer:
\(=w^2+9w+20\)
Step-by-step explanation:
\((5+w)(w+4)=5(w+4)+w(w+4)\\\)
\(=5w+20+w^2+4w\)
\(=w^2+9w+20\)
Decide if the situation involves permutations, combinations, or neither. 5 digit pin codes if no digit can be repeated?
The situation is a combination where 5 digit pin codes has no digit which can be repeated.
Assuming no five-digit number can begin with zero, there are 9 possible choices for the first digit. Then there are 10 possible choices for each of the remaining four digits. Therefore, you have 9 x 10 x 10 x 10 x 10 combinations, or 9 x 10^4, which is 90,000 different combinations.
Combinations are based entirely on grouping. Combinations can be used to determine how many different groups that can be created from the available items.
The techniques used to count the number of outcomes that can occur in different circumstances are permutation and combination. Combinations and permutations are also referred to as arrangements and selections, respectively.
Hence the technique used will be combination.
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Mr. Heritage starts a new business, and to get it started he borrows $2 500 from a bank. If the loan is for two years, and the amount of interest for those two years is $175, what SIMPLE interest rate was he charged? (SIMPLE INTEREST: the principle and interest calculations dont change- they stay the same for the entire two year period!) BONUS- if he pays off the whole loan in the two years, what would his monthly bill be, (DON'T FORGET TO INCLUDE THE INTEREST CHARGE FOR HIS MONTHLY BILLS!!! YOU CAN ROUND YOUR CALCULATION TO THE NEAREST HUNDRETH- THAT IS, TO TWO DECIMAL PLACES...)
The rate of interest is given by the equation R = 3.5 %
What is Simple Interest?Simple interest is a method of calculating interest that ignores the impact of compounding. While interest frequently compounds throughout the course of a loan's set periods, simple interest does not. Simple interest is calculated by multiplying the principal amount by the interest rate, times the number of periods.
Simple Interest = ( Principal Amount x Rate x Time Period ) / 100
Given data ,
Let the rate of interest be represented as R
Now , the simple interest I = $ 175
The principal amount invested P = $ 2,500
The time period T = 2 years
Simple Interest = ( Principal Amount x Rate x Time Period ) / 100
Rate of Interest = (Simple Interest x 100 ) / Principal Amount x Time Period )
Substituting the values in the equation , we get
Rate of Interest R = ( 175 x 100 ) / ( 2500 x 2 )
Rate of Interest R = 17500 / 5000
Rate of Interest R = 3.5 %
Hence , the interest rate is 3.5 %
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Which of the following points satisfies y < 3x - 6?
(2, -4)
(1,0)
The point (2,-4) satisfies y < 3x - 6
1/2 + (103 1/2 + 12)
Answer:
116Step-by-step explanation:
103 1/2 + 12 = 115 1/2
1/2 + 115 1/2 = 116.
Using the information in the Box-and-Whisker plot shown, below what value is three quarters of the data?
A. 7
B. 10
C. 12
D. 17
Answer:
Step-by-step explanation:
A
Which graph shows f(x) = |x| reflected across the x-axis, translated 2 units down and 1 unit to the left?
Answer:
First question is B
Second question is also B :)
Step-by-step explanation:
If the function is translated 2 units down and 1 unit to the left. Then the function will be f(x) = |x + 1| - 2
What is a function?The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.
The function is f(x) = |x|.
If the function is translated 2 units down and 1 unit to the left. Then the function will be
f(x) = |x + 1| - 2
The graph is shown below.
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A square coffee shop has sides that are 5 meters long. What is the coffee shop's area?
Answer:
25m²Step-by-step explanation:
If you want to find the area, you have to use this formula:
Formula:
LxW
L: length
W: Width
Here we have a square, and the sides are all 5 meters long, that means that we have to just do 5x5 to get the answer.
5x5=?
Hope ya remember the 5 table, lol, I know everyone does
5x5=25
so hence, your answer is 25m²
Thanks!
Answered by: FieryAnswererGT
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The solution is, 25m², is the coffee shop's area
What is area ?Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object. Area of a square (A) is the product of its length (l) and width (l).
i.e. A= l× l
here, we have,
If you want to find the area, you have to use this formula:
Formula:
A = LxW
L: length
W: Width
Here we have a square, and the sides are all 5 meters long, that means that we have to just do 5x5 to get the answer.
5x5=?
we know that,
5x5=25
so hence, the answer is 25m², is the coffee shop's area.
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how to solve this problem
Answer:
The answer is 1
- One is the most frequent digit used for writing numbers between 1-1000
- its because 1 has 1 in it and 1000 also has one in it so it can't be other numbers from 1-9
- It can't be zero as zero is not repeated as much as 1
- so the answer is 1
free 100 pointssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss
Answer:
Thank you for the points man I really need them to ask a huge question
Step-by-step explanation:
I answer your question, I get the points, I make the question, someone elce gets the points.
A shipping company rounds up to the nearest ton to figure out shipping charges. If you want to ship 14, 700 statuettes, each weighing 15 ounces, how many tons will you be billed for?
Answer:
6.890625 Tons
Step-by-step explanation:
To get total in ounces: [(14,700 x 15) = 220,500 OZ].
To convert ounces to tons: [(220,500/32,000) = 6.890625 Tons]
f(x)=|x+8| How can function f be written as a piecewise function?
the absolute value function written as a piecewise function is:
f(x) = x + 8 if x ≥ -8
f(x) = -(x + 8) if x + < -8
How can this function be written as a piecewise function?
The absolute value function:
y = |x|
works as follows:
y = x if x ≥ 0.y = -x if x < 0.That is a piecewise function.
Now, in our case:
f(x) = |x + 8| can be rewritten to:
f(x) = x + 8 if (x + 8) ≥ 0
f(x) = -(x + 8) if (x + 8) < 0.
Now we should simplify the inequalities, so we get:
f(x) = x + 8 if x ≥ -8
f(x) = -(x + 8) if x + < -8
Here we have the absolute value function written as a piecewise function.
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Gaurav was conducting a test to determine if the average amount of medication his patients were taking was similar to the national average. He wants to use a 5% significance level for his test to help ensure that his patients do not receive too little or too much medication. If Gaurav were to conduct a test, what probability value would indicate that his null hypothesis (that there is no significant difference between the amount of medication Gaurav's patients are receiving and the national average) would be rejected?
A probability value equal to or smaller than 0.05 would indicate that Gaurav's null hypothesis should be rejected at the 5% significance level.
In hypothesis testing, the significance level, denoted as alpha (α), is the predetermined threshold used to determine whether to reject the null hypothesis.
Gaurav has specified a 5% significance level, which means he wants to control the probability of making a Type I error (rejecting the null hypothesis when it is true) at 5% or less.
If Gaurav were to conduct a test and calculate the p-value, he would compare it to the significance level of 0.05.
The p-value is the probability of observing a test statistic as extreme as the one obtained, assuming the null hypothesis is true.
If the p-value is less than or equal to the significance level (p ≤ α), it indicates that the observed difference is unlikely to occur by chance alone under the assumption of the null hypothesis.
Gaurav would reject the null hypothesis and conclude that there is a significant difference between the average amount of medication his patients are taking and the national average.
Conversely, if the p-value is greater than the significance level (p > α), it suggests that the observed difference could reasonably occur by chance, and Gaurav would fail to reject the null hypothesis.
This would imply that there is no significant difference between the average medication amounts of Gaurav's patients and the national average.
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-2x-3y=-9 and-2x-3y=-9 by elimination
The system of equations has infinite solutions, actually, any pair (x, y) is a solution.
How to solve the system by elimination?To solve a system by elimination, we just need to add/subtract the equations in such a way that we can remove one of the variables.
Here the system of equations is:
-2x-3y = -9
-2x-3y = -9
If we subtract the two equations we will get:
(-2x-3y) - (-2x-3y) = -9 - (-9)
0 = 0
This is a trivial equation, that happens because both equations of the system are the same one.
So the system is true for all real values of x and y.
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\((2/3)^{3}\)
Answer:
\(\frac{8}{27}\)
Step-by-step explanation:
\((\frac{2}{3} )^3 = \frac{2^3}{3^3} = \frac{2 \times 2 \times 2}{3 \times 3 \times 3} = \frac{8}{27}\)
Which function is graphed below?