Answer: \((x+1)^{2}=\boxed{x^{2}+2x+1}\)
Which expression represents the total surface area of the prism shown?
The expression represents the total surface area of the prism is
2 (5 * 7) + 2 (4 * 7) + 2 (4 * 5)
How to solve for the TSA of the prismThe term "TSA" stands for "Total Surface Area" of a prism. The Total Surface Area represents the sum of the areas of all the faces (including the bases) of the prism.
for the rectangular prism, the Total Surface Area can be calculated using the formula:
TSA = 2lw + 2lh + 2wh
where
l = 5
w = 4
h = 7
plugging in the values gives
TSA = 2 (5 * 7) + 2 (4 * 7) + 2 (4 * 5)
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solve each equation by finding square roots. If the equation has no real number solution, write no solution. 5z^2-45=0
Answer:
Z = +3
Step-by-step explanation:
3 squared is 9 and 9 times 5 is 45 so 45 minus 45 is zero
Answer:
Z = +or- 3, or Option A, would be the best answer choice out of the ones provided above.
For the number line shown, which statement is not true?
A number line shows a to the left of 0 and b to the right of 0. Point a is closer to 0 than point b.
|a| > b
–|b| a
|a| < |b|
Answer:
1a8?
Step-by-step explanation:
thi is how
The incorrect statement for the given condition is;
⇒ |a| > b
What is Number line?
Number line is a horizontal line where numbers are marked at equal intervals one after another form smaller to greater.
Given that;
A number line shows 'a' to the left of 0 and 'b' to the right of 0. Point a is closer to 0 than point b.
Now,
Since, Point a is closer to 0 than point b.
And, Number 'a' to the left of 0 and 'b' to the right of 0.
Hence,
Let the number 'a' = - 1
Then, The number 'b' = 2
So, We get;
|a| = |-1| = 1
And, |b| = 2
Clearly, |a| < b
Thus, The incorrect statement for the given condition is;
⇒ |a| > b
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Exponents of Zero
Simplify x^0, where
x does not equal 0
Answer:
1
Step-by-step explanation:
Any non-zero value raised to the zero power is 1.
x^0 = 1
The height of a triangle is 8 centimeters greater than the base. The area of the triangle is 356.5 square centimeters. Find the length of the base and the height of the triangle.
Answer: base = 23 height = 31
Step-by-step explanation:
Area of triangle = (bh)/2
A = 356.5 cm2
h = b+8
356.5 = (b(b+8)) / 2
2(356.5) = b2 + 8b
0 = b2 + 8b - 713
Use quadratic equation to solve for b (there are on-line quadratic equation solvers, or you can do it manually)
b = -31 , 23
23 is the base 23 + 8 = 31 = height
Jim's backyard is a rectangle that is 16 5/6 yards long and 10 2/5 yards wide. Jim buys sod in pieces that are 1 1/3 yards long and 1 1/3 yards wide. How many whole pieces of sod will Jim need to buy to cover his backyard with sod?
length of Jim's backyard , L = 15 5/6 = 95/6 yards
width of Jim's backyard , B = 10 2/5 = 52/5 yards
so, area of rectangular backyard = L × B
= 95/6 × 52/5
= (95 × 52)/30
= 494/3 yard²
now, Jim buys sod of length 1 1/3 = 4/3 yards and width = 1 1/3 yards = 4/3 yards .
so, area of rectangular sod = length × width
= 4/3 × 4/3 = 16/9 yard²
number of sod = area of backyard/area of sod
= (494/3)/(16/9)
= 494 × 3/16
= 92.625 ≈ 93
93 pieces of sod will Jim need to buy to cover his backyard.
find the domain for 5/x2-9
Answer:
x > -3 or -3 < x < 3 or x > 3
Step-by-step explanation:
\(x^{2}\) - 9
= (x + 3)(x - 3)
the undefined singularity points are at x = 3 and x = -3
x > 3 or x > -3
Which of the following represents the area of a rectangle whose length is 5x − 3 and whose width is x + 7?
The Commutative Property states that the order of terms in an expression does not affect the outcome. Which of the following operations does the Commutative Property apply? select all that apply
A. addition
B. subtraction
C. multiplication
D. division
How is the area of a polygon defined?
Answer:
This simple formula: area = 1/2 x perimeter x apothem.
It means: Perimeter × the sum of the lengths of all the sides.
Hope it helps!<3
Answer:
The surface of the polygon is the total space or area that is limited by the borders of the polygon.
Step-by-step explanation:
This area is the amount of space limited by the borderlines and occupied by a polygon. By definition, the sides of the polygon are the same in size. The area of any polygon can be defined by dividing the polygon into triangles.
A rope is 56 in length and must be cut into two pieces. If one piece must be six times as long as the other, find the length of each piece. Round your answers to the nearest inch, if necessary.
Answer:
48, 6
Step-by-step explanation:
The ratio of the pieces is 6 to 1
Add them together to get the total
6+1 = 7
Divide the total length by 7
56/7 = 8
Multiply the ratios by 8
6*8 = 48
1*8 = 6
The peices are 48 and 6
Which of the following rules represents the situations with money earned, E. hours worked, H, and rate payed, it
R?
Answer:
e=h/r
Step-by-step explanation:
answer this please!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
200
Step-by-step explanation:
\(a^{2}\) + \(b^{2}\) = \(c^{2}\)
\(120^{2}\) + \(160^{2}\) = \(c^{2}\)
14400 + 25600 = \(c^{2}\)
40000 = \(c^{2}\)
\(\sqrt{40000}\) = \(\sqrt{c^{2} }\)
200 = c
Jesus love you.
can someone explain what surface area means?
Answer:
The surface area of a solid object is a measure of the total area that the surface of the object occupies.
Step-by-step explanation:
The total area of the surface of a three-dimensional object. Example: the surface area of a cube is the area of all 6 faces added together
Let f(x) = 1/x. Find g(x), the function that is f(x) shifted down 3 units and right 7 units
Thus, the function obtained by taking the reciprocal of the value (x - 7) and then removing 3 out of the result is called g(x).
what is function ?In mathematics, a function is a relationship between two sets of variables—the domain and the range—with the property that each input has precisely one possible outcome. Algebraic notation is frequently used to represent functions, such as f(x), where f is the function's name and x is its input value. When a certain value of x is passed into the function, a set of rules or operations are applied to x to produce the result.
given
We must deduct 3 from the output (or y) values in order to move the function f(x) down 3 units. We must deduct 7 from the input (or x) values in order to move the function right 7 units. Hence, g(x) is defined as:
g(x) = f(x - 7) - 3
If we substitute f(x) = 1/x, we obtain:
g(x) = (1/(x - 7)) - 3
Thus, the function obtained by taking the reciprocal of the value (x - 7) and then removing 3 out of the result is called g(x).
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If 5 people shared
1
of a ton of rocks, how much will each person get?
15
0 75 tons
1
05 tons
55
25 tons
1
tons
75
Answer:
I need help with this to!
Find the slope-intercept equation of the line that passes through (0,-1) and has a slope of -2/3 .
Answer:
y= -2/3x-1
Step-by-step explanation:
Hope this helps!
please help me answer the question
Answer: y = 3
Step-by-step explanation:
I also recodem SYMBOLAD
A boy owns 5 pairs of pants, 2 shirts, 5 ties, and 6 jackets. How many different outfits can he wear to school if he must wear one of each item?
Answer:
He can only wear 2 outfits because he only has 2 shirts.
Step-by-step explanation:
Hope it can help
Answer:
2 outfits because he only has 2 shirts
Step-by-step explanation:
NO LINKS!!
1. Underline the hypothesis and circle the conclusion in the following conditional statement. Then rewrite the conditional statement in if-then form.
a. All 120° angles are obtuse angles.
2. Write the negation of the following statement:
a. It is raining
Answer:
1. Hypothesis: "All 120° angles"
Conclusion: "are obtuse angles"
If-then statement: If an angle measures 120°, then it is an obtuse angle.
2. It is not raining.
Step-by-step explanation:
Question 1Conditional statement
"If this happens, then that will happen."
Hypothesis: The part after the "if".Conclusion: The part after the "then".For the statement "All 120° angles are obtuse angles":
Hypothesis: "All 120° angles"Conclusion: "are obtuse angles"Therefore, the statement written in the if-then form is:
If an angle measures 120°, then it is an obtuse angle.Question 2Given statement:
"It is raining"The definition of a negation of a statement is the opposite of the given statement. For example, the negation of statement "p" is "not p."
Therefore, the negation of the given statement is:
"It is not raining"Is the following relation a function?
Please Help, I will give brainliest please Helppp I made a screen shot
Answer:
6.9 *funny number lol
Step-by-step explanation:
14 divided by 3 = 2.3 repeating or 2 1/3
9 1/3 divided by 4 is also 2.3 repeating or 2 1/3
Therefore 3 times 2.3R is 6.9*funny number lol
We can divide (f) by 2 1/3 to find c and multiply (c) by 2 1/3 to find (f)
Hope this helped
A spinner is divided into three sections: red, blue, and green. The red section is 2/5 of the area of the spinner. The blue section is 1/2 of the area of the spinner. Give the probability for each outcome. Express your answers as fractions.
Probability of red = \(\frac{4}{10}\) , blue = \(\frac{5}{10}\) , green = \(\frac{1}{10}\).
Meaning of probability :
Probability is calculation of how likely some event will happen. Whenever we are not sure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are going to happen.
The analysis of events governed by probability is called statistics.
According to the given information :
Red section = \(\frac{2}{5}\)
multiply numerator and denominator by \(2\) we get
Red section = \(\frac{4}{10}\)
Blue section = \(\frac{1}{2}\)
multiply numerator and denominator by \(5\) we get
Blue section = \(\frac{5}{10}\)
Green section = \(1\)- Red section - Blue section
Green section =\(1-\frac{4}{10} -\frac{5}{10}\)
Green section = \(\frac{1}{10}\)
Therefore Probability of red = \(\frac{4}{10}\) , blue = \(\frac{5}{10}\) , green = \(\frac{1}{10}\).
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Ann, Emily, and Bob collect stickers. They have a total of 70 stickers in the ratio 2:3:5, respectively. How many stickers does each child have?
Answer:
The stickers are divided by groups of
2/10, 3/10 and 5/10
2/10 * 70 = 14
3/10 * 70 = 21
5/10 * 70 = 35
14 + 21 + 35 = 70
So, the stickers are allotted to the 3 children in a group of
14 to one child, 21 to another child, and 35 to the third child.
Step-by-step explanation:
pls answer will give brainliest answer
Answer:
∠A= ∠E, ∠H = ∠D
and the last one
Step-by-step explanation:
opposite angles are equal, alternative interior angle are equal.
Answer:
∠A = ∠E and ∠H = ∠D.
∠E = ∠H and ∠F = ∠G
Step-by-step explanation:
Angles A and E are one set of corresponding angles and angles H and D are another set. Corresponding angles are always congruent to each other and thus equal. Therefore, ∠A = ∠E and ∠H = ∠D.
Angles E and H are one set of vertical angles and angles F and G are another set. Vertical angles are also always congruent to each other and thus equal. Therefore ∠E = ∠H and ∠F = ∠G
please help with this
find m
please and thank you
The measure of angle K and L in the first figure is ∠L = 23 degrees and ∠K = 157. Second figure, the measure of ∠K = ∠L = 70 degrees.
What is sum of interior angles?A polygon's interior angle is the angle created between its two adjacent sides. Alternately, we may state that the internal angle of a polygon refers to the angle measured at the interior portion of a polygon.
For figure 2 the two lines are parallel to each other, and the line that meets the parallel line at points at M and L are from two equal lines.
Hence, the angle suspended by both are equal, that is:
∠L = ∠M
∠L = 23 degrees.
Now, the ∠K and ∠J are created by two parallel lines; hence they are equal:
∠K = ∠J = x
The sum of interior angles of a quadrilateral is 360, so:
∠L + ∠M + ∠J + ∠K = 360
23 + 23 + x + x = 360
46 + 2x = 360
2x = 360 - 46
x = 157
Hence, the measure of angle K and L is 157 and 23 respectively.
For the second figure, the angle K and L are created by equal length of segments.
∠K = ∠L = x
The sum of interior angles of a quadrilateral is 360, so:
∠L + ∠M + ∠J + ∠K = 360
x + 90 + 130 + x = 360
2x + 220 = 360
2x= 360 - 220
x = 70
Hence, the angle of K and L is 70 degrees.
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How to fill out an income summary
Answer: Pick a Reporting Period. ...
Generate a Trial Balance Report. ...
Calculate Your Revenue. ...
Determine the Cost of Goods Sold. ...
Calculate the Gross Margin. ...
Include Operating Expenses. ...
Calculate Your Income. ...
Include Income Taxes.
How do you do Punnett square 5 steps?
Step 1: Write out the cross T = tall, t = short Tt x Tt.
Step 2: Draw 2 by 2 Punnett square.
Step 3: Write the alleles for parent 1 on.
the left side of the Punnett square.
Step 4: Write the alleles from parent 2.
Step #1 – Create a key showing traits as
dominant/recessive.
T = PTC taster
t = non-taster
Step # 2 – Make a list of possible allele combinations & the phenotypes that each would produce.
TT= PTC-taster
Tt = PTC-taster
tt = non-taster
Step # 3 – Identify the parents that are being used in the cross.
Tt x Tt
Step # 4 – Draw a Punnett square to determine possible offspring.
Step # 5 – Identify the Genotypic ratio.
1 : 2 : 1
TT Tt tt
Step # 6 – Identify the Phenotypic ratio.
3 : 1
PTC-tasters non-taster
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whats 10 x 34? please tell me
Answer:
340=10*340 calculated
Answer:
340
Step-by-step explanation:
i know math alot