We have to evaluate the function when f(1), then:
\(f(x)=\frac{-5x+2}{3}\)\(f(1)=\frac{-5\cdot(1)+2}{3}=\frac{-5+2}{3}=\frac{-3}{3}\Rightarrow f(1)=-1\)Then, when f(1), the function at x = 1 have a value of -1 or f(1) = -1.
What are m and b in the linear equation, using the common meanings of m and b?
1 + 4x + 6 - x = y
What's 2+5^3, and how exactly would I solve it
The result of the expression 2 + 5^3 is 127.
To solve the expression 2 + 5^3, you need to follow the order of operations, which is often remembered using the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right).
In this case, the exponentiation should be performed first.
Step 1: Calculate 5^3
5^3 means raising 5 to the power of 3, which is equivalent to multiplying 5 by itself three times: 5 * 5 * 5 = 125.
Step 2: Add 2 to the result from Step 1.
2 + 125 = 127.
Therefore, the result of 2 + 5^3 is 127.
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Can you help with all label them by there numbers plz thank you
Answer:
13- 25 fish
14- 9 miles
15- 7.825 ft3
16- 11.3 feet
Step-by-step explanation:
13-
14 x 2 = 28 fish
He dropped three things so:
28 - 3 = 25 fish
14-
7 days x 3weeks = 21 days
3laps x 21 days = 63 laps
63 laps x 1/7 mile = 9 miles
15-
all his savings: 2.6 + 7.34 + 5.71 = 15,65 ft3
melted snow = 15.65 / 2 = 7.825 ft3
16-
3.5 - 1.8 = 1.7 feet
1.7 + 9.6 = 11.3 feet
Answer:
Step-by-step explanation:
# 13.
I assume there will be no bonus, because penguin dropped some things.
14 × 2 - 3 × 1 = 25 fish
# 14.
3 laps, \(\frac{1}{7}\) mile, 7 days, 3 weeks
3 × \(\frac{1}{7}\) × 7 × 3 = 9 miles
# 15.
\(\frac{2.6+7.34+5.71}{2}\) = 7.825 ft³
# 16.
\(3\frac{1}{2}\) = 3.5
+ 3.5 - 1.8 + 9.6 = (3.5 + 9.6) - 1.8 = 11.3 ft.
Question 7 (3 points)
A right rectangular prism is shown. Find the surface area of this prism. Refer to your
STAAR 8th Grade Math Reference Sheet for the appropriate formula.
Answer:
196 square feet
Step-by-step explanation:
(learn it before u submit. im here to help not cheat;w;
-ur fellow classmate)
S=ph+2b
s=(p=l+l+w+w) (h)+ (2) (b=lxw)
s=(8+8+10+10) (1) + (2) (8x10)
s=( 36x1 )+ (2x80)
s= 36+160
s=196
God bless ya:)
The area of this prism is 196 square feet.
What is the area of the prism?The prism's area can be calculated by adding its lateral area to the base areas. The process of calculating these areas ends up being facilitated because the two bases of a prism are the same, therefore, it is enough to calculate the area of a base and multiply the result by 2
The formula for the area of the prism is given by:
\(S=ph+2b\)
Where:
p=l+l+w+wb=lxwSo we have that:
\(s=(p=l+l+w+w) (h)+ (2) (b=lxw)\\s=(8+8+10+10) (1) + (2) (8*10)\\s=( 36*1 )+ (2*80)\\s= 36+160\\s=196\)
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what is the solution set for the equation (2x-1)(x+5)=0
Answer:
x = 1/2 x=-5
Step-by-step explanation:
(2x-1)(x+5)=0
Using the zero product property
2x-1 =0 x+5 =0
2x= 1 x = -5
x = 1/2 x=-5
I hope This Helps❣ If U Nees Help Notify Me And I Will Post More❣
This college has one of the highest median graduation rates and the best consistency in graduation rates over time.
Answer:
70 has the most groups
Step-by-step explanation:
from the graph
Answer:
Step-by-step explanation:
The dark blue graph illustrates these two requirements. The rates represented there have the highest median.
Same graph illustrates consistency in outcomes, as the graduation rates vary little from their median.
The triangle and the rectangle have the same area.
All lengths are in cm.
7x + 2
a Form an equation in x.
b Solve your equation to find x.
c Work out the area of the shapes.
1
2x + 7
The length of one side of the equilateral triangle in terms of x is 6x.
To find the length of one side of the equilateral triangle in terms of x, we need to consider the perimeter of both the rectangle and the equilateral triangle.
The perimeter of a rectangle is given by the formula:
Perimeter of rectangle = 2(length + width)
In this case, the length of the rectangle is 7x cm, and the width is 2x cm. Substituting these values into the formula, we have:
Perimeter of rectangle = 2(7x + 2x) = 2(9x) = 18x
We are told that the equilateral triangle has the same perimeter as the rectangle.
Since an equilateral triangle has all sides equal, the perimeter can be calculated by multiplying the length of one side by 3.
Therefore, we have:
Perimeter of equilateral triangle = 3(side length)
Since the perimeter of the equilateral triangle is equal to the perimeter of the rectangle (18x), we can set up the equation:
3(side length) = 18x
Dividing both sides of the equation by 3, we get:
side length = 6x
Hence, the length of one side of the equilateral triangle in terms of x is 6x.
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The complete question may be like: A rectangle measures 2x cm by 7x cm. An equilateral triangle has the same perimeter as the rectangle. What is the length of one side of the triangle in terms of x?
Age of Senators The average age of senators in the 108th Congress was 56.5 years. If the standard deviation was 12.5 years, find the Z-scores corresponding to the oldest and youngest senators of age 85 and 39. Round z scores to two decimal places. Part: 0/2 Part 1 of 2 The Z-score corresponding to the oldest senator of age 85 is oll
Rounding to two decimal places, the Z-score corresponding to the youngest senator of age 39 is -1.40.
To find the Z-score corresponding to a particular value in a normal distribution, we use the formula:
Z = (x - μ) / σ
where x is the value of interest, μ is the mean, and σ is the standard deviation.
Part 1 of 2: For the oldest senator of age 85:
Z = (x - μ) / σ = (85 - 56.5) / 12.5 ≈ 2.28
Rounding to two decimal places, the Z-score corresponding to the oldest senator of age 85 is 2.28.
Part 2 of 2: For the youngest senator of age 39:
Z = (x - μ) / σ = (39 - 56.5) / 12.5 ≈ -1.4
Rounding to two decimal places, the Z-score corresponding to the youngest senator of age 39 is -1.40.
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beth and ann are joking that their combined ages equal sams age. if beth is twice anns age and sam is 69. what are beth and anns age
Answer: ann is 69 and beth is 138
Step-by-step explanation:
Can someone please explain step by step on how I solve this equation?
-1 - (-0.25) = ?
Answer: -1 - (-0.25) = -0.75
Step-by-step explanation:
The way you would do that is by first pretending as the negative sign (-), isn't present.
Then do "1 - 0.25".
1.00 - 0.25 = 0.75
After you solved the equation, then we can add the negative sign (-), back into the equation = -1 - (-0.25) = -0.75 ✅
A deli receives a large order for sandwiches for a company picnic. The company wants one club sandwich and two regular sandwiches for each person. The company also wants an extra Dagwood sandwich. A club sandwich has $3$ slices of bread. A regular sandwich has $2$ slices. A Dagwood has $5$ slices.
If there are $n$ people going to the company picnic, how many slices of bread does the deli need to make this order? Write your answer as a fully simplified expression. Your answer should have the variable $n$ in it exactly once.
Answer:
:P
Step-by-step explanation:
A farmer needs to fence a rectangular piece of land. She wants the length of the field to be 80 feet longer than the width. If she has 1080 feet of fencing material, what should be the length and width of the field?
The width of the field is 230 feet and the length is 310 feet.
Let's denote the width of the field as "x" feet.
The length of the field is 80 feet longer than the width, so it can be represented as "x + 80" feet.
To find the total amount of fencing material needed, we sum up the lengths of all four sides of the rectangular field:
2(length) + 2(width) = perimeter
Substituting the given values:
2(x + 80) + 2(x) = 1080
2x + 160 + 2x = 1080
4x + 160 = 1080
4x = 920
x = 920/4
x = 230
Therefore, the width of the field is 230 feet.
Now we can find the length by adding 80 feet to the width:
Length = Width + 80 = 230 + 80 = 310 feet.
So, the width of the field is 230 feet and the length is 310 feet.
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Modern Electronics offers a one-year monthly installment plan for a big screen TV. The payment for the first month is 882, and then it increases by 4% each month for the rest of the year. Which expression can be used to find the total amount paid in the first 12 months?
✿————✦————✿
Answer: A
\(62=\frac{12(1.04^{12}-1) }{1.04-1}\)
✿————✦————✿
Create a proportion from the given set of numbers: 3,6,7,14
Answer
3:6=7:14
Step-by-step explanation:
pls make me branliest
may you pls help me i do not know how to do it
Answer: 118
Step-by-step explanation:
The two figures' angles are identical so the angles would have the same measurements
circumference of circle 132cm find the area of circle is
Answer: 1386 sq.cm.
Step-by-step explanation:
2Pi r= 132
2 * 22/7 * r = 132
r = 21
Area = pi * r * r
= 22/7 * 21 * 21
= 1386 sq.cm.
Hope this helps :))
Please help me with the answer to this question
The answer as a result of the numerical expression above is B) 1/36
How to solve rank equationThis expression is rank number:
\(( {6}^{ - 4} ) {}^{ \frac{1}{2} } = 6 {}^{ - 2} = \frac{1}{ {6}^{2} } = \frac{1}{36}.
So the answer as a result of the numerical expression above is 1/36.
From these calculations it can be seen that the rank between what is inside the brackets and what is outside it can be multiplied.
In the question above the power of -4 multiplied by the power of ½ ( (-4×½) the result is -2.
So all that's left is 6⁻². Another form of 6⁻² is 1/6² or 1/36.
This refers to the exponential rule in mathematics, namely a⁻ⁿ can be written as 1/aⁿ.
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(-15xz+4xy)+(20xy-9yz+16xz)
write the english phrase as an algebraic expression. Let x represent the number
The english phrase "Seven less than four times a number" as an algebraic expression is 4x - 7
Writing the english phrase as an algebraic expressionFrom the question, we have the following parameters that can be used in our computation:
seven less than four times a number
Represent the number with x
So:
four times a number means 4x
So, we have
seven less than 4x
seven less than means - 7
So, we have
4x - 7
Hence, the english phrase as an algebraic expression is 4x - 7
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Complete question
write the english phrase as an algebraic expression. Let x represent the number
Seven less than four times a number
Find the area of the shaded region on numbers 3-5
The area of the shaded region is,
(3) 100.28 sq. unit
(4) 72 sq.m
(5) 49.09 sq.m
What is the area?
The area of an object is the amount of room it occupies in two dimensions. It is the calculation of how many unit squares entirely encircle the area of a closed figure.
The accepted measure of area is the square unit, which is frequently expressed as square inches, square feet, etc. Most shapes and objects have edges and angles.
(3)
To calculate the area of the semi-circle having a radius of 3 cm,
\(A_1=\frac{1}{2} \pi r^2\\A_1=\frac{1}{2} \pi(3)^2\\A_1=14.14 \ \ sq. \ cm\)
To calculate the area of the rectangle having a width of 12 cm and a height of 6 cm,
\(A_2=l*w\\A_2=12*6\\A_2=72 \ sq.cm\)
To calculate the area of the semi-circle having a radius of 3 cm,
\(A_3=\frac{1}{2} \pi (3)^2\\A_3=14.14\)
The shaded region's size was calculated using
\(A=A_1+A_2+A_3\\A=14.14+72+14.14\\A=100.28 \ \ sq.cm\)
(4)
To calculate the area of the rectangle having a width of 13 m and a height of 8 m,
\(A_1=l*w\\A_1=13*8\\A_1=104 \ sq.m\)
To calculate the area of an unshaded triangle,
\(A_2=\frac{1}{2} *b*h\\A_2=\frac{1}{2} *8*8\\\\A_2=32 \ sq.m\)
The shaded region's size is thus,
\(A=A_1-A_2\\A=104-32\\A=72 \ sq.m\)
(5)
The shaded region's size was calculated using
\(A=Area \ of \ circle-Area \ of \ square\\A=\pi (6)^2-(8)^2\\A=36\pi -64\\A=49.09 \ sq.m\)
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Julia has 9 one pound bags of sand each a different color. For a art project she will use 1/8 lb of each bag of sand to create sand art jar. How much sand will be in the jar?
a. 8/9, b. 1/72, c. 1 1/9, d. 1 1/8
a. Morning rain showers dropped 1/3 of an inch of rain. Later that day, another storm passed through and dropped 1/8 inch of rain. How much more rain fell in the morning than in the afternoon?
Answer: 5in
Step-by-step explanation:
1/3x8/8=8/24
1/8x3/3=3/24
8-3=5
Yavonne has $15.90 in her checking account. She needs to buy items that cost $3.18 each. How many of these items can she buy?
a
4
b
5
c
6
d
7
Answer:
5.
Step-by-step explanation:
15.90 / 3.18 =
What is the volume of the pyramid? Show all work.
6 m
8 m
4 m
During a review game, Mr. Pai's class correctly answered 65 questions on the first try. If there were 75 questions in the game, at what rate were questions answered correctly on the first try? Express your answer as a decimal. Round to the nearest thousandth.
A. 0.087
B. 0.867
C. 0.133
D. 1.154
Using the concept of ratio, the rate at which questions were answered correctly is 0.867 which is option B
What is RateRate can be defined as comparing two or more ratio with a standard value.
The rate of correct answer can be calculated using the ratio between the number of correct answers to numbers of questions answered.
The rate is given as;
rate = 65 / 75
rate = 0.867
The rate of correct answers is 0.867
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lve for m.
-3 + m
9 = 10
A.
-30
B.
63
C.
87
D.
93
The value of m that satisfies the equation -3 + m = 9 is m = 12.
To solve the equation -3 + m = 9, we can isolate the variable m by moving the constant term -3 to the other side of the equation.
-3 + m = 9
To move -3 to the other side, we can add 3 to both sides of the equation:
-3 + 3 + m = 9 + 3
Simplifying, we have:
m = 12
Therefore, the value of m that satisfies the equation -3 + m = 9 is m = 12.
None of the provided answer options (A, B, C, D) match the correct solution.
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What should you substitute for x in the second equation (bottom equation) in order to solve the system by the substitution method?
We substitute -1+1/6y for x in the second equation (bottom equation) in order to solve the system by the substitution method.
The given system of equations are 2x-1/3y = -2...(1)
3x+y=1...(2)
We solve this system of equations by using substitution method.
Let us solve for x in equation to substitute it in equation (2).
2x=-2+1/3y
Divide both sides of equation by 2.
x=-1+1/6y
Now plug in the value of x in equation 2.
Hence, we substitute -1+1/6y for x in the second equation (bottom equation) in order to solve the system by the substitution method.
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Suppose we are minimizing the objective function value of a linear program. The feasible region is defined by 5 corner points. The objective function values at the five corner points are 4, 11, 7, 4, and 10. What type of solution do we have for this problem?.
The linear program shows that there are different attainable arrangements that accomplish the same ideal objective function value..
How to determine the solution to the objective function value of a linear programBased on the given data, since the objective function values at the five corner points are diverse, able to conclude that there's no one-of-a-kind ideal arrangement for this linear program.
The reality that there are numerous distinctive objective function values at the corner points suggests that there are numerous ideal arrangements or that the objective work isn't maximized or minimized at any of the corner points.
In this case, the linear program may have numerous ideal arrangements, showing that there are different attainable arrangements that accomplish the same ideal objective function value.
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which value is equivalent to the expression 18.9×[(2×2.7)-4.6]-²2
Answer:
11.12
Step-by-step explanation:
18.9*((2*2.7)-4.6)-2^2
18.9(5.4-4.6)-2^2
18.9*0.8-2^2
18.9*0.8-4
15.12-4
11.12
No answer options were given, so here is the exact value.
What is the equation of the line that passes through the point (-8, 4) and has a
slope of -1/2
Answer: y+4=1/2(x-8)
Step-by-step explanation: