A square window has an area of x2 – 14x + 49 square feet. Find the length of one side of the square.
Answers
Answer:
_D__
Step-by-step explanation:
HOPE THIS helpsss you III
Answer:
Step-by-step explanation:
(x - 7)² = x² - 14x + 49
so each side is x - 7 long where x ≠ 7
Related Questions
find the measure of an angle between 0 and 360 coterminal coterminal with the given angle -200 degrees
Answers
Answer:
160°
Step-by-step explanation:
to find a coterminal angle for a given angle, then add/ subtract 360° from it
- 200° - 360° = - 560°
- 200° + 360° = 160°
the coterminal angle in the range between 0° and 360° is 160°
Point C is the midpoint of AB and point B is between points A and D. If AD = 15 and BD = 7, what is CD?
Answers
Considering that the points A, B, C, and D are on the same line.
We know that C is the midpoint between A and B.
And B is between A and D.
First, let's sketch the points to visualize their positions:
The total length of the line AD is 15 units. Point B divides this line into two segments, AB and BD, so that:
\(AD=AB+BD\)From this expression, you can calculate the measure of line segment AB:
\(\begin{gathered} AD=AB+BD \\ AB=AD-BD \\ AB=15-7 \\ AB=8 \end{gathered}\)Next, if point C is the midpoint of AB, it means that it separates this segment into two equal segments AC and CB. We can calculate the length of these segments by dividing AB by 2:
\(\begin{gathered} AC=CB=\frac{AB}{2} \\ AC=CB=\frac{8}{2} \\ AC=CB=4 \end{gathered}\)Now, what is left is to determine the length of the segment CD
Line segment CD is formed by the segments CB and BD, so that:
\(\begin{gathered} CD=CB+BD \\ CD=4+7 \\ CD=11 \end{gathered}\)Line segment CD has a length of 11 units.
What solid figure has one base, but no lateral faces?
Answers
Answer:A pyramid is a three-dimensional figure with only one base. The base can be any polygon. The other faces are triangles.
Step-by-step explanation:
6. A shoe store stocks x pair of sneakers and y pairs of sandals. During a promotion, a pair of sneakers is priced at $50 and a pair of sandals at $36. The shop manages to sell half the sneakers and 80% of the sandals. Write an expression for the total amount of sales the store makes.
Answers
The expression for the total amount of sales the store makes will be:25s + 28.8p
How to illustrate the expression?Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.
From the information, the shoe store stocks x pair of sneakers and y pairs of sandals. During a promotion, a pair of sneakers is priced at $50 and a pair of sandals at $36. The shop manages to sell half the sneakers and 80% of the sandal.
Let sneakers = s
Let sandals = p
An expression for the total amount of sales the store makes will be: 1/2(50s) + 0.8(36p).
= 25s + 28.8p
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find x.
please and thank youuu
Answers
Answer:
x = 4√2
Step-by-step explanation:
Identifying the triangle in the diagram:
Whenever you see a right angle (its measure is 90°) and a 45°, the measure of the third angle is also 45° and the triangle is called a 45-45-90 triangle which has special rules, as it relates to the lengths of its sides.45-45-90 triangle rules:
The two sides across from the 45° are congruent and their lengths are x units long.The hypotenuse (always across from the right angle) is the longest side and its length is x√2 units long.Finding x:
Since the hypotenuse is 8 units long and, we can find x by setting 8 equal to x√2:
(8 = x√2) / √2
8/√2 = x
Rationalize the denominator to simplify:
When you have a fraction with a root as the denominator, we simplify (i.e. rationalize the denominator) by multiplying both the numerator and denominator by the root, which clears the root on the denominator:(8/√2) * (√2/√2)
8√2 / 2
4√2
Thus, x = 4√2
What is the answer to this question and how to solve?
Answers
Answer:
Line ZL and line LZ.
Step-by-step explanation:
Since it is a line (because a line needs to have two or more points to be able to graph), it can be represented in two ways. The first being ZL, and the second being LZ.
Brainliest please.
Answer:
Step-by-step explanation
Oh
A fire hydrant with a blue cap provides water at a rate of 1,500 gallons per minute. A fire hydrant with a green cap provides water at a rate of 1,000 gallons per minute. A fire hydrant with a purple cap provides water at half the rate of a fire hydrant with a green cap. What is the equation in fraction form
Answers
Answer:
Fire hydrant with a purple cap (with respect to a fire hydrant with a green cap):
\(\dot Q_{purple} = \frac{1}{2}\cdot \dot Q_{green}\)
Step-by-step explanation:
The volume rate of the fire hidrant with a purple cap is equal to the product of the proportion factor and the volume rate of the fire hydrant with a concrete cap.
\(\dot Q_{i} = k \cdot \dot Q_{j}\)
There are two different solutions:
Fire hydrant with a purple cap (with respect to a fire hydrant with a green cap):
\(\dot Q_{purple} = \frac{1}{2}\cdot \dot Q_{green}\)
Fire hydrant with a purple cap (with respect to a fire hydrant with a blue cap):
\(\dot Q_{purple} = \frac{1}{2} \times \frac{1000\,gpm}{1500\,gpm}\cdot \dot Q_{blue}\)
\(\dot Q_{purple} = \frac{1}{3}\cdot \dot Q_{blue}\)
6. Tax: If sales tax is figured at 7.25%, how
much tax will be added to the total purchase
price of three textbooks, priced at $25.00,
$35.00, and $52.00?
Answers
Answer:
$8.12
Step-by-step explanation:
1. Looking at the questionThe question says tax will be added to the total purchase price, so not each of them individually.
Prices: $25, $35, $52
Tax rate: 7.25%
2. Solving\(25+35+52=112\)
Percent to decimal = x/100
\(7.25\)÷\(100=0.0725\)
\(0.0725\)·\(112=8.12\) (this is the tax)
Hope this helped! Please mark brainliest :)
Answer:
1.81,2.54,3.77
Total
8.12
Step-by-step explanation:
To find the tax, multiply the original amount by the tax rate
tax
25 * 7.25%
25 *.0725
Rounding to the nearest cent
1.81
35 * 7.25%
35 *.0725
Rounding to the nearest cent
2.54
52 * 7.25%
52 *.0725
Rounding to the nearest cent
3.77
Total for all three
1.81+2.54+3.77=8.12
Write an equation in slope intercept form for the graph.
Answers
What else would need to be congruent to show that ABC DEF by SAS? E AA. А B OA. BC = EF B. CF OC. ZA ZD D. AC = OF F Given: AC = DF CE F
Answers
The two triangles exist congruent if they contain two congruent corresponding sides and their contained angles exist congruent.
Let \($&\overline{A B} \cong \overline{D E} \\\) and \($&\overline{A C} \cong \overline{D F}\)
Angle between \($\overline{A B}$\) and \($\overline{A C}$\) exists \($\angle A$\).
Angle between \($\overline{D E}$\) and \($\overline{D F}$\) exists \($\angle D$\).
Therefore, \($\triangle A B C \cong \triangle D E F$\) by SAS, if \($\angle A \cong \angle D$$\).
What is SAS congruence property?Given:
\($&\overline{A B} \cong \overline{D E} \\\) and
\($&\overline{A C} \cong \overline{D F}\)
According to the SAS congruence property, two triangles exist congruent if they contain two congruent corresponding sides and their contained angles exist congruent.
Let \($&\overline{A B} \cong \overline{D E} \\\) and \($&\overline{A C} \cong \overline{D F}\)
Angle between \($\overline{A B}$\) and \($\overline{A C}$\) exists \($\angle A$\).
Angle between \($\overline{D E}$\) and \($\overline{D F}$\) exists \($\angle D$\).
Therefore, \($\triangle A B C \cong \triangle D E F$\) by SAS, if \($\angle A \cong \angle D$$\).
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Amazon is offering a $17.95 discount on a pair of wireless headphones. You pay $71.80 for the headphones after the discount. Write and solve an equation to find the original price of the headphones.
Use "x" for your variable
Answers
Answer:
x - 17.95 = 71.80
Use the commutative property of addition
71.80 + 17.95 = 89.75
$89.75 was the original price.
Step-by-step explanation:
Hope it helps! =D
when tge united states is in tge dark whatvare some places on the globe that are light
Answers
Answer:
Argentina and Chile!
- •Promise• {Kacchan}
factor this problem:
42x^2+25x+3
Answers
Answer: (6x+1)(7x+3)
Step-by-step explanation:
Step-by-step explanation:
a quadratic
use sum factor pattern
42x^2+25x+3
=42x^2+18x+7x+3
common factor
6x(7x+3)+7x+3
rewrite in factored form
(6x+1)(7x+3)
A right cylinder has radius of 5 cm and a height of 3 cm
Answer the following questions and make sure to show all your work
(a) Find the surface Area of cylinder.
Answers
Answer:
251.33cm³
Step-by-step explanation:
take pie as 22/7
surface area = 2π r h + 2π r²
2×22/7×5×3 + 2×22/7×5²
44/7×15 + 44/7×25
660/7 + 1100/7
660 + 1100 all over 7
= 1760/7
251.33cm³ Or 251.43cm³
What is 1/4 + 1/3 + 11/12 =
Answers
Answer:
1 1/2 as a mixed number or 3/2 as an improper fraction
Step-by-step explanation:
SOMEONE please help me!!!!!!!!!!!
Answers
Answer:
First is death valley it goes on the bottom, next is New Orleans its after death valley, Next is Washington it goes in the middle, next is Dublin its after Washington, Lastly is Paris it goes on the top
Step-by-step explanation:
1. Prove ~ (Pvq) <=> (~P^~9).
Algebra of propositional variables
2. P^ q = q^q
P v q = q v p
show that both are commutative
Answers
Based on the information, both ∧ (conjunction) and ∨ (disjunction) satisfy the commutative property.
How to explain the commutative property.It should be noted that to prove the commutativity of the logical connectives ∧ (conjunction) and ∨ (disjunction), we need to show that they satisfy the commutative property
From the truth table, both P ∧ Q and Q ∧ P have the same truth values for all combinations of truth values of P and Q. Therefore, we can conclude that P ∧ Q ≡ Q ∧ P, and ∧ (conjunction) is commutative.
In order to prove P ∨ Q ≡ Q ∨ P, we construct a truth table for both expressions. Both P ∨ Q and Q ∨ P have the same truth values for all combinations of truth values of P and Q. Therefore, we can conclude that P ∨ Q ≡ Q ∨ P, and ∨ (disjunction) is commutative.
Hence, both ∧ (conjunction) and ∨ (disjunction) satisfy the commutative property.
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A graduate student is studying bacteria known to have a growth rate of 7% per day. If the population of a bacterial sample is currently 63,740 bacteria, then how many bacteria will there be in 12 days?
Answers
The number of bacteria in 12 days is 143,555
What is an exponential function?A mathematical function called an exponential function is employed frequently in everyday life. It is mostly used to compute investments, model populations, determine exponential decay or exponential growth, and so on.
Exponential function is a type of function of the form: f(x) = a(b)^x. It is made up of 3 main parts
a = the starting or initial value
b = the base function
x = the exponents
Considering the given problem,
the starting = 63,740 bacteria
the base = 1 + rate = 1 + 0.07 = 1.07
the exponents = x = number of days
The number of bacteria will there be in 12 days
f(x) = a(b)^x
f(x) = 63740 * (1.07)^12
f(x) = 143,555
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Can someone just help me with this simultaneous equations with substitution. I’ve asked ten times and no one has helped. Please
Answers
Answer:
I've answered this for you in your previous question. Hope it helped
Answer:
\(\huge\boxed{\sf Solution\ Set = \{x,y\} = \{1,2\}}\)
Step-by-step explanation:
3x + 4y = 11 ----------------------(1)
x = 15 - 7y ----------------------(2)
Put Eq. (2) in (1)
3(15 - 7y) + 4y = 11
45 - 21y + 4y = 11
45 - 17y = 11
Subtracting 45 to bot sides
-17y = 11 - 45
-17y = -34
Dividing both sides by -17
y = -34 / -17
y = 2
\(\rule[225]{225}{2}\)
Put y = 2 in Eq. (2)
x = 15 - 7(2)
x = 15 - 14
x = 1
\(\rule[225]{225}{2}\)
Solution Set = {x,y} = {1,2}
\(\rule[225]{225}{2}\)
Hope this helped!
~AH1807A fraternity charge $2.00 admission for dudes and $1.00 admission for ladies. They made $45 and sold 35 tickets how many ladies attended the party
Answers
After solving the equations, we know that a total of 25 ladies attended the party.
What are equations?A mathematical statement that has an "equal to" symbol between two expressions with equal values is called an equation.
As in 3x + 5 Equals 15, for instance.
Equations come in a variety of forms, including linear, quadratic, cubic, and others.
So, take dudes as x and ladies as y.
Now, form the required 2 equations as follows:
2x + y = 45 ...(1)
x + y = 35 ...(2)
Work on equation (2):
x + y = 35
x = 35 - y
Now, substitute x = 35 - y in equation (1):
2x + y = 45
2(35-y) + y = 45
70 - 2y + y = 45
-y = -25
y = 25
Since ladies were charged $1 for each ticket, then 25 ladies attended the party.
Therefore, after solving the equations, we know that a total of 25 ladies attended the party.
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2c^2-5c-12=0
Solve by factoring
Answers
Answer:
c=3/2,4
Step-by-step explanation:
1) Which part of a circle is a portion of the boundary of a circle?
A. arc
B. center
C. circumference
D. radius
Answers
Answer:
A. arc
Step-by-step explanation:
The circumference is the entire boundary of a circle.
A portion of the circumference is called an arc.
the the area of a rectangle with perimeter 40 cm and 75 cm square find the length and width of the rectangle
Answers
Answer: 15cm and 5cm
Step-by-step explanation:
A rectangle's area is the product of the length and width
Given length x and width y, 2x+2y = 40 and x*y = 75.
Verifying my answer:
2(15)+2(5) = 40
30+10 = 40
40 = 40
15*5 = 75
75= 75
This is a week late so I hope this helped.
The length and the width of the rectangle are 15cm and 5cm respectively
How to find the length and width of the rectangle?The given parameters are:
Area (A) = 75
Perimeter (P) = 40
The area of a rectangle is LW, while the perimeter is 2(L + W)
So, we have:
LW = 75
2(L + W) = 40
Divide by 2
L + W = 20
Make L the subject
L = 20 - W
Substitute L = 20 - W in LW = 75
(20 - W)W = 75
Expand
20W - W^2 = 75
Rewrite as:
W^2 - 20W + 75 = 0
Expand
W^2 - 15W - 5W + 75 = 0
Factorize
(W - 15)(W -5) = 0
Split
W - 15 = 0 or W - 5 = 0
Solve for W
W = 15 or W = 5
Recall that:
L= 20 - W
So, we have
L = 20 - 15 or L = 20 - 5
This gives
L = 5 or L = 15
Hence, the length and the width of the rectangle are 15cm and 5cm respectively
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I=$60, P=$300, t=2 years
What is the rate?
Answers
Answer:
i dont know to be honest
Step-by-step explanation: hi
Find the volume of the cylinder. Round your answer to the nearest tenth if necessary. Use 3.14 for π.
A can of juice has a radius of 7 inches and a height of 8 inches. What is the volume of the can?
The volume of the can is about _____.
Answers
Answer:
1230.9
step by step explanation:
if a binomial event has a probability of success of 0.5, how many successes would you expect out of 2000 trials
A.1000
B.600
C.1800
D.1400
Answers
Answer:
1000
Step-by-step explanation:
a binomial event only has two possible outcomes
P(success) = .5
Multiply the probability of success by the number of trials
.5*2000 =1000
Select all the expressions that are equivalent to (12 + x)10.5.
It’s multiple choice and these are the answers
10.5(12x)
(10.5 + 12 + x)
10.5(12 + x)
126x
126 + 10.5x
22.5 + x
Answers
126+10.5x
Step-By-Step:
-3/2t+1/3=2/4
Answer??
Answers
Answer:
t = 1/9
Step-by-step explanation:
Combine multiplied terms into a single fraction
-3/2 (t) + 1/3 = 2/4
3t/2+ 1/3 = 2/4
Find common denominator
3 x 3t/6 + 2/6 = 2/4
Combine fractions with common denominator
3 x 3t/6 + 2/6 = 2/4
3x3t + 2
/ 6= 2/4
Multiply the numbers
9t+2
/6 = 2/4
Divide the numbers
9t+2 divided by 6 is 1/2
Multiply all terms by the same value to eliminate fraction denominators
6 x 9t+2 divided by 6 = 6 x 1/2
Cancel multiplied terms that are in the denominator
9t+2=3
Subtract 2 from both sides
9t+2-2=3-2
Simplify
9t=1
Divide both sides by the same factor
9t/9+=1/9
Simplify
t= 1/9
Given the plot of normal distributions A and B below, which of the following statements is true? Select all correct answers.
Answers
A has the larger standard devlation.
What is standard devlation?
The standard deviation is a statistic that expresses how much variation or dispersion there is in a set of values. While a high standard deviation suggests that the values are dispersed over a wider range, a low standard deviation suggests that the values tend to be close to the set mean.
We are given two plots of normal distributions A and B.
The mean of a normal distribution is located at the center of the plot.
Since the centers of both of the normal distributions A and B seems to be aligned, therefore, they both seems to have equal means.
The standard deviation basically determines the shape of the distribution.
As you can see, the normal distribution A is more spread out and thus has a larger standard deviation than normal distribution B.
Therefore, the two correct options are
• The means of A and B are equal.
• A has larger standard deviation.
Complete question: Given the plot of normal distributions A and B below, which of the following statements is true? Select all correct answers.
Select all that apply:
A has the larger mean.
B has the larger mean.
The means of A and. Q jual.
A has the larger standard devlation.
B has the larger standard deviation.
The standard deviations of A and B are equal.
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A pattern has 3 blue triangles to every 39 yellow triangles. What is the ratio of yellow
triangles to all triangles
Answers
Answer:
3:39
Step-by-step explanation:
have a good day