what is the value of x
a.15
b.20
c.60
d.180
Answer:
b
Step-by-step explanation:
the 2 legs of the triangle are congruent, thus the triangle is isosceles with the 2 base angles congruent , then
3x = 60 ( divide both sides by 3 )
x = 20
Answer: b
Step-by-step explanation: the 2 legs of the triangle are congruent, thus the triangle is isosceles with the 2 base angles congruent , then
3x = 60 ( divide both sides by 3 )
x = 20
What is the y -coordinate of the vertex of the parabola y=-3(x-4)²+5 ?
y -coordinate of the vertex of the parabola y=-3(x-4)²+5 is -5.
What is a parabola?
A parabola is an approximately U-shaped, mirror-symmetrical planar curve in mathematics. It corresponds to a number of seemingly unrelated mathematical descriptions, all of which can be shown to define the same curves. A parabola may be described using a point and a line.
Given,
y=-3(x-4)²+5
⇒ y = - 3x² - 48 + 24x + 5
⇒ y = - 3x² + 24x - 43
⇒ a = -3, b = 24, c = -43
⇒ x = -b/2a
⇒ x = -24 /- 6 = 4
⇒ y = - 48 + 96 - 43
⇒ y = - 5
⇒ x= 4, y = -5
⇒ The coordinates of vertex will be - (4,-5)
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Explain how to use addition with negative numbers.
Step-by-step explanation:
Adding A Negative Number
Now let's see what adding and subtracting negative numbers looks like:
add subtract +- goes down
We can add weights (we are adding negative values)
the basket gets pulled downwards (negative)
Example: 6 + (−3) = 3
is really saying
"Positive 6 plus Negative 3 equals Positive 3"
We could write it as (+6) + (−3) = (+3)
For a given calendar year, Mrs. Terry pays the first $2,500 of her medical expenses plus 20% of all medical expenses
over $2,500. In the equation shown, y represents the amount that she pays when x is the total dollar amount of her
medical expenses for the year.
V = 2,500 + 0.2 (x - 2,500)
for x ≥ 2,500
If y = $2,632 for this year, what is x, Mrs. Terry's total medical expenses?
Using proportions, Mrs. Terry total medical expenses are of $2,526.4.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.
For this problem, her expenses are divided as follows:
All of the first $2,500.20% of the remaining 2632 - 2500 = $132.Hence her total medical expenses are given as follows:
2500 + 0.2 x 132 = $2,526.4.
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The elevator in a downtown skyscraper goes from the top floor down to the lowest level of the underground parking garage. If the building is 450 feet tall and the elevator descends 530 feet from top to bottom, how far underground does the parking garage go?
A) 970 feet
B) 980 feet
C) 70 feet
D) 80 feet
Answer:
530-450=80
Answer = 80 feet
Write an equation that equals 2,456
Answer:
2400+56=2456 OR
2500-44=2456
Answer:
Step-by-step explanation:
614x4=2,456
which equation is equivalent to 2^3x = 10
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{2^{3x} = 10}[/tex]
[tex]\large\textsf{Take the logarithm to both sides:}[/tex]
[tex]\mathsf{log(2^{3x}) = log(10)}[/tex]
[tex]\mathsf{3x \times (log(2)) = log(10)}[/tex]
[tex]\large\textsf{Simplify it:}[/tex]
[tex]\mathsf{3x = \dfrac{log(10)}{log(2)}}[/tex]
[tex]\large\textsf{Simplify this as well:}[/tex]
[tex]\mathsf{3x = 3.321928}[/tex]
[tex]\large\textsf{Divide 3 to both sides of your current equation:}[/tex]
[tex]\mathsf{\dfrac{3x}{3} = \dfrac{3.321928}{3}}[/tex]
[tex]\large\textsf{Lastly, simplify that last bit of the equation:}[/tex]
[tex]\mathsf{x = \dfrac{3.321928}{3}}[/tex]
[tex]\mathsf{x = 1.107309}[/tex]
[tex]\huge\text{Thus, your answer should be: \boxed{\mathsf{x = 1.107309}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]Which stem-and-leaf plot represents the data set?
{3.3, 4.5, 5.0, 4.4, 5.0, 2.2, 4.9, 3.3, 3.4, 2.0, 2.1}
A stem and leaf plot is a table used to display data. The 'stem' is shown on the left side of the table and shows the first digit or digits of data values. The 'leaf' is shown on the right side of the table and shows the last digit of the data value.
A stem and leaf plot displays numerical data by splitting each data point into a "leaf" (usually the last digit) and a "stem" (the leading digit or digits).
Split each data point into a stem and a leaf. The stem is everything before the final digit, and the leaf is the final digit. Write the stems in a vertical column and don't skip stems just because they don't have any data.
2
3
4
5
4
5
our stems are the 10 digit data.
2 ! 0 ,1, 2
3! 3, 4,
4! 4 , 5 , 9
5 ! 0
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What is the value of y in this figure?
Enter your answer in the box.
PLS HURRY ILL GIVE BRAINLIEST!!!!!
Answer:
163 degrees
Step-by-step explanation:
163 degrees is equal to y
Z = x
The measure of angle y is 163° and the measure of angle x and z is 17 degrees.
Given that:
Two lines are intersected with each other.
It is required to find the measure of angles x, y, and z.
The angles formed on the opposite side of the intersecting line are called vertical angles.
Also, by the Vertical Angles Theorem, the vertical angles formed are always equal.
Here, y is vertical to the given measure of 163°.
So, y = 163°.
Now, x and y are the angles formed along a line.
So, they are linear pair of angles.
Linear pair of angles are supplementary.
So, x + y = 180
x = 180 - 163
= 17°
Also, x and z are vertical angles.
So, z = 17°
Hence, x = 17°, y = 163°, and z = 17°.
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Help ASAP!!!!!!!!!!!! 10 Points
The symbolic notation are;
a. Atlanta is the capital of Georgia, or there are 3 feet in a yard.
2. ⇒ p ∧ q
b. Atlanta is the capital of Georgia and there are not 3 feet in a yard.
6. ⇒ p ∨ ~ q
c. Atlanta is not the capital of Georgia, or there are 3 feet in a yard.
5. ⇒ ~ p ∧ q
d. Atlanta is the capital of Georgia, and there are 3 feet in a yard.
1. ⇒ p ∨ q
What is Symbolic notation?
Symbolic notation is a way of representing the counting numbers by writing a simple symbol.
Now,
For the false statement we use the symbol ( ~ ).
If in the statement the word ''or'' is present then we use the symbol ''∧'' and for the word ''and'' we use the symbol ''∨''.
Hence,
For the statement;
a. Atlanta is the capital of Georgia, or there are 3 feet in a yard.
Both are truth and with the word ''or'', then the symbolic notation,
⇒ p ∧ q
For the statement;
b. Atlanta is the capital of Georgia and there are not 3 feet in a yard.
One statement is truth and second is false , then the symbolic notation,
⇒ p ∨ ~ q
For the statement;
c. Atlanta is not the capital of Georgia, or there are 3 feet in a yard.
First statement is false and second is truth , then the symbolic notation,
⇒ ~ p ∧ q
For the statement;
d. Atlanta is the capital of Georgia, and there are 3 feet in a yard.
Both are truth and with the word ''and'', then the symbolic notation,
⇒ p ∨ q
So, The symbolic notation are;
a. Atlanta is the capital of Georgia, or there are 3 feet in a yard.
2. ⇒ p ∧ q
b. Atlanta is the capital of Georgia and there are not 3 feet in a yard.
6. ⇒ p ∨ ~ q
c. Atlanta is not the capital of Georgia, or there are 3 feet in a yard.
5. ⇒ ~ p ∧ q
d. Atlanta is the capital of Georgia, and there are 3 feet in a yard.
1. ⇒ p ∨ q
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x² + 6x + 8 = 0
x = [? ], [ ]
Enter smallest solution first
Answer:
x = -4,-2
Step-by-step explanation:
x² + 6x + 8 = 0
Factor the equation
(x+4)(x+2) =0
Using the zero product property
x+4 =0 x+2 =0
x=-4 x=-2
x = -4,-2
Answer:
[tex] \sf \: x = - 2 \: \: or \: \: - 4[/tex]
Step-by-step explanation:
[tex] \sf {x}^{2} + 6x + 8 = 0[/tex]
Factorise.
[tex] \sf {x}^{2} + 6x + 8 = 0 \\ \sf {x}^{2} + 4x + 2x + 8 = 0[/tex]
[tex] \sf x(x + 4) + 2(x + 4) = 0 \\ \sf(x + 2)(x + 4) = 0[/tex]
Use the zero product property.
[tex] \sf \: x + 2 = 0 \\ \sf \: x = 0 - 2 \\ \sf x = - 2[/tex]
Or
[tex] \sf \: x +4 = 0 \\ \sf \: x = 0 - 4 \\ \sf \: x = - 4[/tex]
Therefore,
[tex] \sf \: x = - 2 \: or \: \: - 4[/tex]
The Great Wall of China, built in the 7th century BCE, is about 1 x 10^4 miles long. The Panama Canal, built over 2 thousand years later, is about 5 x 10^1 miles long. Use these numbers to complete the sentence below. Write your answer in standarered form, without using exponets. The Great Wall of China is about ____ times longer then the Panama Canal what is the answer?
The Great Wall of China is about 200 times longer then the Panama Canal
How many times longer is the Great Wall of China?Scientific notation is used to compress large numbers into smaller numbers. In order to write a number in scientific notation, the number is written as a decimal number, between 1 and 10 and multiplied by a power of 10. An examples of 100 expressed in scientific notation is 1 x 10².
In order to determine the difference in the length of the great wall of China and the Panama Canal, divide the length of the Great wall of China by the length of the Panama Canal.
(1 x [tex]10^{4}[/tex]) ÷ (5 x [tex]10^{1}[/tex])
(1/5) x [tex]10^{4 - 1}[/tex]
0.2 x [tex]10^{3}[/tex]
2 x [tex]10^{3 - 1}[/tex]
2 x10² = 200
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The price of a gallon of apple cider is $7.00. The price of eight 4.23-ounce juice boxes is $2.39.
Suppose the juice was instead packaged like the cider. Approximately what is the cost per gallon of the juice?
The Cost of the juice per gallon is the $9.
According to the statement, We have to find that the cost of the juice.
So, For this purpose, we know that the
A cost function may be a mathematical formula wont to used to chart how production expenses will change at different output levels.
From the given information:
The price of eight 4.23 ounce juice boxes is $2.39. we should always know that: 1 Gallon = 128 Ounces and 1 juice boxes = 4.23 ounce
So, juice boxes per gallon = 128/4.23 = 30.26
But the worth of 8 juice boxes is $2.39
The value of 1 gallon = (30.26/8) * 2.39 = 9.04
Then,
the price per gallon of the juice = $9
So, The Cost of the juice per gallon is the $9.
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|2x-3|=-1
Help solve
awaer
click here
Step-by-step explanation:
Which expression is equivalent to quantity y raised to the negative second power times z raised to the third power end quantity over quantity z raised to the negative fourth power times y raised to the fifth power end quantity all raised to the negative second power?
y raised to the seventh power over z raised to the seventh power
z raised to the seventh power over y raised to the seventh power
y raised to the fourteenth power over z raised to the fourteenth power
z raised to the fourteenth power over y raised to the fourteenth power
The equivalent expression is z raised to the fourteenth power over y raised to the fourteenth power. Option D
What are algebraic expressions?
Algebraic expressions are defined as expressions composed of variables, terms, constants, coefficients and factors.
They are also made up of arithmetic operations like;
SubtractionAdditionMultiplicationDivisionBracketNote that equivalent expressions are expression with the same solution but different arrangement of values.
From the information given, we have that;
y raised to the negative second power = y^-2z raised to the third power = z³ z raised to the negative fourth power = z^4 y raised to the fifth power = y^5Substitute into the expression;
{y^-2 × z³/z^-4 × y^5 }^-2
Following the law of indices, we have
{y^-2 -5 z^3-(-4) }^-2
{y^-7 z^7}^-2
y^-14 z^14
z^14/y^14
Thus, the equivalent expression is z raised to the fourteenth power over y raised to the fourteenth power. Option D
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The formula for relating a man's shoe size S and the length of his foot L in inches is
S3L
26. Find the length of a man's foot if he wears a size 12 shoe.
Answer:
12 5/6 inches
Step-by-step explanation:
You want to find the value of L when S=12 1/2, using the formula S = 3L -26.
Foot lengthYou can substitute for S in the formula before or after you solve for L. Here, we'll solve for L first:
S +26 = 3L . . . . add 26 to both sides
(S +26)/3 = L . . . . divide both sides by 3
Substituting 12 1/2 for S, this becomes ...
L = (12 1/2 +26)/3 = (38 1/2)/3 = (77/2)/3 = 77/6 = 12 5/6
A man's foot is 12 5/6 inches long if he wears a size 12 1/2 shoe.
Answer:
the length of his foot in inches is 12
Find all the zeros of each function.
y=3x³-7x²-14 x+24
All the zeros of each function y=3x³-7x²-14 x+24 are
X₁ = -2, X₂≈ 1.33333, X₃ = 3
What is root of Polynomial?Polynomial roots are the answers to any polynomial for which we need to determine the value of the unknowable variable. Knowing the roots will allow us to evaluate the polynomial's value to zero. A polynomial of degree "n" in variable x is an expression with the following formula: anxn + an-1xn-1 +...... + a1x + a0.
The greatest power of a variable in a polynomial is referred to as the polynomial's degree.
A monomial is a polynomial with a single term. A monomial is referred to as a polynomial of zero degrees if it simply has a constant term.
According to the given data,
y=3x³-7x² -14x + 24
Substitute y = 0
0=3x³-7x²- 14x + 24
Move the expression to the left
0-3x³+7x² +14x-24=0
Remove 0
Rewrite
- 3(x³+8) +7x(x+2)=0
Factor the expression
-3(x+2) x(x²-2x + 4) +7x(x+2)=0
Remove the parentheses
-(x+2)x(3x²-6x+12-7x) = 0
Collect like terms
-(x+2)x (3x²-13x+12) 13x+12=0
Rewrite the expression
(x+2)x(3x-4)x(x-3)=0
Separate into possible cases
x+2=0
3x-4=0
X 3=0
Solve the equations
x = -2
X=4/3
X = 3
The equation has 3 solutions
Solution
X₁ = -2 , X₂=4/3 , X₃ = 3
Alternative Form
X₁ = -2, X₂= 1.33333, x₃ = 3
Hence ,all the zeros of each function y=3x³-7x²-14 x+24 are
X₁ = -2, X₂≈ 1.33333, X₃ = 3
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A certain refrigerator requires 170 watts of electricity when it is running. It typically runs about 20 minutes per hour. How much does it cost to run this refrigerator for one year if the cost per kWh is $0.11?
If certain refrigerator requires 170 watts of electricity when it is running. It typically runs about 20 minutes per hour. The amount it cost to run this refrigerator for one year if the cost per kWh is $0.11 is: $53.856.
CostGiven:
Electricity watts = 170 watts
Minutes run = 20 minutes
Cost per KWh =$0.11
Hence,
170 watts = 1.7×10^-1
20 min = 1/3 h
Now let calculate the cost of running the refrigerator for one year
1.7×10^-1 × 1/3 × 24 ×360 × $0.11
= $53.856
Therefore If certain refrigerator requires 170 watts of electricity when it is running. It typically runs about 20 minutes per hour. The amount it cost to run this refrigerator for one year if the cost per kWh is $0.11 is: $53.856.
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4(x - 3) + 14 = 7x - 3(x + 7)
Is this a conditional, identity, or contradiction equation
4(X-3)+14=7X-3(X+7)
or, 4X-16+14=7X-3X
or, 4X-7X+3X=(-21)+16-14
or, 0= -19
Hence, the answer is wrong but the process is right.
can √2x/3y be simplified? yes or no?
If yes show your work if not Explain why not.
Note Show work or ill delete your answer....
The expression √3 + 5 cannot be simplified and the expression √2x/3y cannot be simplified
How to determine if the expressions can be simplified?Expression 1
The expression is given as
√3 + 5
The above expression is a combination of a radical expression and an integer
The radical expression √3 cannot be simplified
This means that the expression √3 + 5 cannot be simplified
Hence, the expression √3 + 5 cannot be simplified
Expression 2
The expression is given as
√2x/3y
The above expression is a combination of radical expressions
However, the radical expressions do not have a common factor
This means that the expression √2x/3y cannot be simplified
Hence, the expression √2x/3y cannot be simplified
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Complete question
can √3 + 5 be simplified if yes show your work if not explain why
can √2x/3y be simplified if yes show your work if not explain why
The temperature dropped 24 degrees in 4 hours. What was the average drop in temp per hour?
Answer:
6
Step-by-step explanation:
You have to divide 24 by four.
Marc mixes blue and yellow paint to make his favorite shade of green, which he'll use to paint his house. He has 14 cans of blue paint and 20 cans of yellow paint when he starts.
He wants the same green color every time he mixes, so the amounts of blue and yellow must always be proportional to the original mixture.
On day 1, he mixes 4 cans of blue and 6 cans of yellow.
On day 2, he mixes 6 cans of blue and 9 cans of yellow.
Fill in the blanks to find the highest number of cans of each color Marc can mix to make the same shade of green on day 3.
1 On days 1 and 2 how much blue paint did Marc use? How much yellow paint?
2 How many cans of each type of paint does Marc have left for day 3?
3 Day 2's mixture must use the same simplified ratio of blue to yellow as the other two days. What is the greatest number of cans of blue and yellow paint Marc can mix on day 2? Assume he mixes only whole cans of paint.
By respecting the given ratio:
1) 10 of blue paint and 15 of yellow.
2) 4 of blue paint and 6 of yellow.
3) 2 cans of blue paint and 3 of yellow.
On days 1 and 2 how much blue paint did Marc use? How much yellow paint?
We know that on day 1 he uses:
4 cans of blue paint.6 cans of yellow paint.On day 2 he uses:
6 cans of blue paint.9 cans of yellow:Adding that we get:
Cans of blue paint used: 4 + 6 = 10Cans of yellow paint used: 6 + 9 = 15How many cans has he left on day 3?He initially has 20 cans of yellow, so he has left:
20 - 15 = 5 cans of yellow.
He initially has 14 cans of blue, so now he has:
14 - 10 = 4
4 cans of blue paint.
3) How many cans should he use?
The original ratio is:
6 yellow to 4 blue.
The quotient gives: 6/4 = 3/2
So if she has 5 cans of yellow paint and 4 cans of blue paint, the maximum amount that he can use that respects that ratio is 3 cans of yellow paint and 2 cans of blue paint.
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The junior class is renting a laser tag facility with a capacity of 325 people. The cost for the facility is $ 1200 . The party must have 13 adult chaperones.
a. If every student who attends shares the facility cost equally, what function models the cost per student C with respect to the number of students n who attend? What is the domain of the function? How many students must attend to make the cost per student no more than $ 7.50 ?
a. If every student who attends shares the facility cost equally, the function model will be 1200/N
What is the domain of the function?
domain : 1 ≤ N ≤ (312 - additional adult chaperones) N ∈ Z
How many students must attend to make the cost per student no more than $ 7.50 ?1200/N ≤ 7.50
1200 / 7.50 ≤ N
N ≥ 1200/7.5
N ≥ 160
More than 160 students must attend to make the cost per student no more than $ 7.50
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Question 7A: Keisha has $585.43 in her checking account. She must maintain a balance of $300 to avoid a fee. She wrote a check for $302.05 today. Write an inequality, using x for the variable, that would be used for the least amount of money she needs to deposit to avoid a fee.
Question 7B: Using your inequality from question 7A, solve the inequality to find the least amount of money Keisha can deposit to avoid a fee.
The least amount of money she needs to deposit to avoid a fee is; $16.62
How to Solve Inequality Word Problems?We are given;
Amount Keisha has in her checking account = $585.43
Minimum balance to be maintained = $300
Check written = $302.05
Now, if x represents the variable, that would be used for the least amount of money she needs to deposit to avoid a fee, then the inequality is; $585.43 - $302.05 + x ≥ $300
$283.38 + x ≥ $300
Subtract 283.38 from both sides to get;
x ≥ $16.62
Thus, the least amount of money she needs to deposit to avoid a fee is; $16.62
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HELP PLEASE!!! INEQUALITY WORD PROBLEM, MULTIPLE CHOICE.
Answer:
D.
Step-by-step explanation:
She gets 21$ for 6 hours of work, while the amount of tips is varied.
Answer: it would be A
Step-by-step explanation:
Which names are correct for EN?
Jerry needs clothes for school. He buys 2 pair of jeans for $17. each. He buys a pair of shoes for $125.00. He needs a He also needs a pack of socks. They are $12. he also needs 3 shirts. They They are on sale for $23 each. How much does he spend? If he gives the cashier 3 $100 bills, how much change receive? 2 answers
Jerry spend $240 on clothes for school and jerry received $60
Jerry needs clothes for school
He buys 2 pair of jeans for $17. each =2*17=34
He buys a pair of shoes for $125.00.
He also needs a pack of socks. They are $12.
he also needs 3 shirts, They are on sale for $23 each = 3*23=69
then we have to find how much does he spend?
If he gives the cashier $300 bills, how much change receive?
now the Total amount jerry spent on clothes is
34+125+12+69 = 240dollar
Hence Jerry pay $240 to the cashier but jerry pay $300 to the cashier so jerry received $300- $240 = $ 60
therefore Jerry spend $240 on clothes for school
and jerry received $60
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five percent of all vcrs manufactured by a large electronics company are defective. a quality control inspector randomly selects three vcrs from the production line. what is the probability that exactly one of the three vcrs is defective?
The probability that exactly one of the three vcrs is defective is 0.1354
x = total number of trials = 3 VCRs
x = number of successes = number of defective VCRs = 1
n- x = 3 -1 = 2
p = P(success) = 0.05
q = P(failure) = 1 -p = 1 – 0.05 = 0.095
In this question we are applying binomial distribution strategy: it is always applied to find the probability that an outcome will occur x times in n performances or experiment.
P (x = 1) = 3C1 (0.05)1 (0.95)2
= 3 (0.05) (0.9025)
= 0.1354
Therefore, the probability of exactly one of the three VCRs being a defective one is 0.1354
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l
Use the graph for Exercises 1-3.
1. Quadrilateral J is reflected across the x-axis.
What is the image of the reflection?
2. Which two quadrilaterals are reflections of each
other across the y-axis?
3. How are quadrilaterals Hand J related?
Draw the image of the figure after each reflection
Answer:
explain why a mission statement should not include monetary amount numbers percentages ratios or objectives
i’m so lost please help i’m really trying to raise my grade
Answer:
A. x = 5
B. isosceles triangle