Answer:
-140 and -8.
Step-by-step explanation:
-140 x -8 = 1,120.-140 + -8 = -148.These are all of the steps to completely and correctly solve this question.
Hope this helps!!!
Kyle.
Answer:
-8 and -140
Step-by-step explanation:
Let the numbers be x and y. Then xy = 1120, and x + y = -148.
Solving the first equation for y, we get 1120/x.
Substituting this into the second equation: x + 1120/x = -148
Multiplying all terms by x removes x from the denominator(s):
x² + 1120 + 148x = 0.
Let's use the quadratic formula to find x. Here a = 1, b = 148 and c = 1120.
Then the discriminant is b²-4ac, or, in this case, 148²-4(1)(1120) = 17424. Because this discriminant is positive, we have two real, unequal roots.
They are:
-148 ± √17424
x = ------------------------ = -8 and -140.
2
Note that -8 and -140 add up to -148, so that's correct.
(-8)(-140) = 1120, so that also is correct.
how much warmer is 82 than -40
Answer: The difference between 82 and -40 is 122.
Step-by-step explanation:
To find out how much warmer 82 degrees is than -40 degrees, you add 40 to 82, which totals 122 degrees.
Explanation:To determine how much warmer 82 degrees is compared to -40 degrees, we simply calculate the difference between the two temperatures. This is a simple calculation where we subtract the lower temperature from the higher temperature.
The calculation would be: 82 - (-40) = 82 + 40 = 122 degrees.
So, 82 degrees is 122 degrees warmer than -40 degrees. Note that this calculation assumes that the temperatures are measured on the same scale, which is typically Fahrenheit in the context of weather temperature changes in the United States.
A recipe for ricotta cheese calls for 1/2 cup of whole milk for every 1/4 cup of heavy cream. How much whole milk should be used for every one cup of heavy cream
A. 1/8 cup
B. 1/4 cup
C. 2 cups
D. 4 cups
Answer:
C. 2 cups
Step-by-step explanation:
So since it says for every 1/2 cup of whole milk, you need 1/4 of heavy cream, that means you will need twice as much whole milk as you do heavy cream.
So for every one cup of heavy cream, that means you need 2 cups of whole milk.
This is because 1/2 is twice as much as 1/4.
To scale up the given ratio of 1/2 cup of whole milk to 1/4 cup of heavy cream to 1 cup of cream, you need to multiply the quantity of milk by 4. This gives you 2 cups of milk for 1 cup of cream.
Explanation:The question asks us to calculate the quantity of whole milk that should we used for every cup of heavy cream, based on a given ratio. The ratio given is 1/2 cup of milk for every 1/4 cup of cream. Ratios can be scaled up or down while keeping the same relationship between quantities. In this case, we want to know how much milk to use for 1 cup of cream. Since 1 cup is 4 times larger than 1/4 cup, we simply multiply the quantity of milk by 4 as well, which gives us 1/2 cup * 4 = 2 cup. Hence, the answer is C. 2 cups of milk should be used for every cup of heavy cream.
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Find the degree of the monomial 13
A. 3
B. 4
C. 1
D. 0
Answer:
D
Step-by-step explanation:
Note that 13 = 13[tex]x^{0}[/tex] since [tex]a^{0}[/tex] = 1
Then 13 is a monomial of degree 0 → D
Please help ASAP!!!!!!!!!!
Answer:
A
Step-by-step explanation:
First, we know that angles 6 and 8 are supplementary.
Therefore m∠6 + m∠8 = 180°
123.5° + m∠8 = 180°
m∠8 = 56.5°
Then, using the alternating exterior angle theorem, we can find that...
m∠8 ≅ m∠1
So m∠1 = 56.5°
the answer to this question is A
Mateo built the skateboard ramp below and filled it with pebbles to make it more stable.
Which stamens are true ??check all that apply.
Answer:
it is 1,3,and 5
Step-by-step explanation:
The statements that are true about the ramp is:
The shape can be broken into a rectangular prism and a triangular prism.Step-by-step explanation:Clearly from the figure given to us we observe that:
It is made up of a rectangular prism and a right angled triangular prism.Also, if B is the base area of the rectangular prism (i.e. square base) and h is it's height then the volume of the Rectangular prism is:[tex]Volume=Bh[/tex]
Also, for the triangular prism the base area is halved and hence the base area of triangular prism is: B/2
Hence, the total volume of Triangular prism is: [tex]\dfrac{1}{2}Bh[/tex]
Hence, the total volume of figure is:
[tex]Bh+\dfrac{Bh}{2}[/tex]
Also, we have Base area B=4 square ft. (Since, it is made up of square base with side 2 ft. )and h=4.8 ft.
Hence, volume of figure is:
[tex]4\times 4.8+\dfrac{4\times 4.8}{2}\\\\\\28.8 cubic ft.[/tex]
what decimal is equivalent to 8/100
Answer:
0.08
Please give me brainiest!
Trying to get up a rank <:)
Step-by-step explanation:
step 1 Address input parameters & values.
Input parameters & values:
The fraction number = 8/100
step 2 Write it as a decimal
8/100 = 0.08
0.08 is the decimal representation for 8/100
Answer:
0.08 Is the answer
Which of the following statements is true ?
both √25 and -√16 are rational
Compare the algebraically expressed function f(x) = -8x2 + 4x + 2 to the function shown in the graph to determine which statement is true.
A) The algebraic function has a greater maximum value.
B) The algebraic function has a lower minimum value.
C) The graphed function has a greater maximum value.
D) The graphed function has a lower minimum value.
ANSWER
A) The algebraic function has a greater maximum value.
EXPLANATION
The given function is
[tex]f(x) = - 8 {x}^{2} + 4x + 2[/tex]
This can be rewritten as:
[tex]f(x) = - 8( {x - \frac{1}{4} })^{2} + \frac{5}{2} [/tex]
The maximum value of this function is 2.5
The maximum value of the graph is less that zero.
This means that that the maximum value of the algebraic function is greater than the maximum value of the graph.
Answer:
Option A.
Step-by-step explanation:
Algebraically expressed function is f(x) = -8x² + 4x + 2
As we know in a quadratic equation f(x) = ax² + bx + c, if a is negative then the vertex will be maximum.
and the maximum value will be represented by [tex]c-\frac{b^{2}}{4a}[/tex]
From the given quadratic equation
a = -8
b = 4 and c = 2
Now we place these values in the equation.
Maximum = [tex]2-\frac{4^{2}}{4(-8)}[/tex]
= 2 + 0.5
= 2.5
From the graph attached we can easily conclude that vertex of the parabola is less than 0.5
Therefore, algebraic function has the greater maximum value.
Option A. is the answer.
During a certain day, a worker made 81 parts. He usually does 45 parts per day. What was the percent by which he increased the number of parts he usually makes?
Answer:
The answer is 80%.
Step-by-step explanation:
During a certain day, a worker made 81 parts.
He usually does 45 parts per day.
Number of extra parts made = [tex]81-45=36[/tex]
The percent by which he increased the number of parts he usually makes can be given as = [tex]\frac{36}{45}\times100[/tex] = 80%
Therefore, on that day, the percent increased by 80%.
Answer:
Increase by 80%
Step-by-step explanation:
45 : 100%
81 : y
[tex]\frac{81}{45} :\frac{y}{100}[/tex]
y × 45 = 81 × 100
45y = 8100
45y ÷ 45 = 8100 ÷ 45
y = 180
180% - 100% = 80%
Increase by 80%
What is p(t)=-log_10(t)^.5 in exponential form
Answer:
[tex]10^{-p\left(t\right)}=t^{\left(0.5\right)}[/tex]
Step-by-step explanation:
Given equation is [tex]p\left(t\right)=-\log_{10}t^\left(0.5\right)[/tex]
Now question says to write that in exponential form.
So we can use the following conversion formula:
[tex]\log_ca=b\ \Rightarrow c^b=a[/tex]
[tex]p\left(t\right)=-\log_{10}t^\left(0.5\right)[/tex]
[tex]-p\left(t\right)=\log_{10}t^\left(0.5\right)[/tex]
[tex]\log_{10}t^\left(0.5\right)=-p\left(t\right)[/tex]
Apply conversion formula
[tex]p\left(t\right)=-\log_{10}t^\left(0.5\right)\ \Rightarrow 10^{-p\left(t\right)}=t^{\left(0.5\right)}[/tex]
[tex]10^{-p\left(t\right)}=t^{\left(0.5\right)}[/tex]
Someone please explain (:
Answer:
a.) 1.38 seconds
b.) 17.59ft
Step-by-step explanation:
h(t) = -16t^2 + 22.08t + 6
if we were to graph this, the vertex of the function would be the point, which if we substituted into the function would give us the maximum height.
to find the vertex, since we are dealing with something called "quadratic form" ax^2+bx+c, we can use a formula to find the vertex
-b/2a
b=22.08
a=-16
-22.08/-16, we get 1.38 when the minuses cancel out. since our x is time, it will be 1.38 seconds
now since the vertex is 1.38, we can substitute 1.38 into the function to find the maximum height.
h(1.38)= -16(1.38)^2 + 22.08t + 6 -----> is maximum height.
approximately = 17.59ft -------> calculator used, and rounded to 2 significant figures.
for c the time can be equal to (69+sqrt(8511))/100, as the negative version would be incompatible since we are talking about time. or if you wanted a rounded decimal, approx 1.62 seconds.
Answer:
a) [tex]h(t)=-16(t-0.69)^2)+13.62[/tex]
b)The maximum height is 13.62 feet.
c) 1.84 seconds
Step-by-step explanation:
The function that models the height in feet of the hammer above the ground is
[tex]h(t)=-16t^2+22.08t+6[/tex]
Factor -16 as shown;
[tex]h(t)=-16(t^2-1.38t)+6[/tex]
Add and subtract the square of half the coefficient of t.
[tex]h(t)=-16(t^2-1.38t+(-0.69)^2)--16(-0.69)^2+6[/tex]
[tex]h(t)=-16(t^2-1.38t+(-0.69)^2)--16(-0.69)^2+6[/tex]
Rewrite the first three terms as a perfect square trinomial;
[tex]h(t)=-16(t-0.69)^2)+13.62[/tex]
This function is now in the form;
[tex]h(t)=a(t-h)^2)+k[/tex]
where (h,k)=(0.69,13.62)
This implies that; the hammer reached its maximum height at t=0.69 seconds.
b) The maximum height is the y-value of the vertex.
The maximum height is 13.62 feet.
c) To answer this question we need to find the difference between the x-intercepts.
[tex]h(t)=-16t^2+22.08t+6[/tex]
a=-16,b=22.08,c=6
[tex]t_2-t_1=\sqrt{(t_1+t_2)^2-4t_1t_2}[/tex]
[tex]t_2-t_1=\sqrt{(\frac{-b}{a})^2-4(\frac{c}{a})}[/tex]
[tex]t_2-t_1=\sqrt{(\frac{-22}{-16})^2-4(\frac{-6}{-16}) }=1.84[/tex]
Hence the hammer was in the air for 1.84 seconds
Line FH and line Ik are parallel lines
Which angles are corresponding angles?
Corresponding angles are the ones that occupy the same relative position where a third line intersects two other lines. If lines FH and IK are parallel, the corresponding angles are FHB and IKB; and BHJ and BKL. They are always equal in measure if the lines are parallel.
Explanation:In geometry, lines that are parallel have several corresponding angles. Corresponding angles are the angles that occupy the same relative position at each intersection where a line intersects two other lines. If lines FH and IK are parallel and intersected by another line (Let's call it line B for easier understanding), the corresponding angles would be as follows:
Angle FHB and Angle IKBAngle BHJ and Angle BKLThese pairs are known as corresponding angles. Coresponding angles are always equal in measure if the lines are parallel to each other.
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If George the giraffe is 18 feet tall how many inches tall is he
To convert George the giraffe's height from feet to inches, multiply 18 feet by the conversion factor of 12 inches per foot, resulting in George being 216 inches tall.
Explanation:If George the giraffe is 18 feet tall and you want to convert his height to inches, you need to know that one foot is equal to 12 inches. To find out how many inches tall George the giraffe is, you multiply his height in feet (18 feet) by the number of inches in one foot.
Here's the calculation step by step:
Identify the height in feet: 18 feetKnow the conversion factor: 1 foot = 12 inchesMultiply the height in feet by the conversion factor: 18 feet × 12 inches/foot = 216 inchesTherefore, George the giraffe is 216 inches tall.
How do u find out the area.
Answer:
66yds^2
Step-by-step explanation:
Use the formula for the area of a triangle.
1/2(b * h)
Plug in the values.
1/2(11 * 12)
1/2(132)
66
Final answer:
To find the area of a shape, you multiply its length by its width. Different shapes have different formulas to calculate their areas, such as rectangles and triangles.
Explanation:
In mathematics, to find the area of a shape or region, you need to know the length and width of that shape. For example, to find the area of a rectangle, you multiply its length by its width. The formula for the area of a rectangle is A = length x width.
For example, if a rectangle has a length of 5 units and a width of 3 units, the area would be 5 x 3 = 15 square units.
If you have a shape that is not a rectangle, you may need to use a different formula. For example, to find the area of a triangle, you can use the formula A = 1/2 x base x height. The base is the length of the bottom side of the triangle, and the height is the distance from the base to the top point of the triangle.
PLEASE HELP! URGENT! PLEASE HELPPPPPPPP I NEED IT AS FAST AS POSSIBLE!!! Please!!!!!
Answer:
Step-by-step explanation:
25,
V=lwh
So 5*5*5
125 in ^3
Find the value of X in the quadrilateral. (Picture)
Answer:
B
Hope this Helps! Have A Nice Day!!
Answer:
b
Step-by-step explanation:
Please help!!
Find the exact circumference of the circle.
Answer:
C) 26π mi
Step-by-step explanation:
1. Find the diameter:
24² + 10² = d², because of the pythagorean theorem.
Add: 676 = d²
Square root: 26 = d, no negatives by domain
2. Find the circumference:
C = dπ
Plug in: C = 26π miles
PLS HELPPP 35 pt!!!!! Evaluate (simplify) each expression 27^2 / 27 ^ 4/3
Answer:
9 on ED2020
Step-by-step explanation:
The simplified value of the expression [tex]\frac{27^2}{27 ^{4/3}}[/tex] using properties of exponents is 3² or 9.
Given Expression: [tex]\frac{27^2}{27 ^{4/3}}[/tex]
To Simplify the expression, use the following Exponents properties
Quotient Rule: [tex]a^m / a^n = a^{m-n}[/tex] Power Rule: [tex](a^m)^n = a^{(m*n)[/tex]Now, let's factorize the number of prime factors
27 = 3 x 3 x 3 or 3³
So, the Expression [tex]\frac{27^2}{27 ^{4/3}}[/tex] can be written as
[tex]\frac{27^2}{27 ^{4/3}}[/tex] = [tex]\frac{(3^3)^2}{(3^3)^{4/3}}[/tex]
Using Power Rule: [tex](a^m)^n = a^{(m*n)[/tex]
[tex]\frac{27^2}{27 ^{4/3}}[/tex] = [tex]\frac{3^{(3*2)}}{3^{3*(4/3)}}[/tex]
= [tex]\frac{3^6}{3^4}[/tex]
Using Quotient Rule: [tex]a^m / a^n = a^{m-n}[/tex]
[tex]\frac{27^2}{27 ^{4/3}}[/tex] = [tex]\frac{3^6}{3^4}[/tex]
=[tex]3^ {6-4}[/tex]
= 3²
= 9
Therefore, the simplified expression is 3² or 9.
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Please help , Is it abc or D . I really want to understand this
Answer:
B
Step-by-step explanation:
The surface area (A) of a sphere is
A = 4πr² ← r is the radius which we require
Given A = 2500π, then
4πr² = 2500π ( divide both sides by 4π )
r² = 625 ( take the square root of both sides )
r = 25
The volume (V) of a sphere is
V = [tex]\frac{4}{3}[/tex]πr³, and
[tex]\frac{V}{\pi }[/tex] = [tex]\frac{4}{3}[/tex]r³ = [tex]\frac{4}{3}[/tex] × 25³ , thus
[tex]\frac{V}{\pi }[/tex] = [tex]\frac{4}{3}[/tex] × 15625 ≈ 20833.33.. → B
The dot plot shows the number of magazines sold. Determine the range of the data set.
A) 7
B) 8
C) 10
D) 25
Answer:
B
Step-by-step explanation:
The range is the difference between the largest and smallest members of the data set.
largest = 25 and smallest = 17
range = 25 - 17 = 8 → B
This table lists the coordinates of points on a line. What is the y-intercept of the line?
x -2 -1 0 1 2 3
y 16 12 8 4 0 -4
Answer:
The line intercepts the y-axis and [tex]y = 8[/tex]
Step-by-step explanation:
The intersection on the y-axis of a line is found to be [tex]x = 0[/tex].
That is, the intercept with the y-axis is the value of the function when x is equal to zero.
In this case we know the following points of the function:
x : -2 -1 0 1 2 3
y : 16 12 8 4 0 -4
Note that when [tex]x = 0[/tex] then [tex]y = 8[/tex].
Therefore the line intercepts the y-axis and [tex]y = 8[/tex]
(30 POINTS)
A restaurant did a survey among 200 customers to find their food preferences. The customers were asked about their preferences for pasta or rice. Out of the total 60 people who liked pasta, 20 also liked rice. There were 80 people who liked rice.
Part A: Summarize the data by writing the values that the letters A to I in the table below represent.
Like pasta Do not like pasta Total
Like rice A B C
Do not like rice D E F
Total G H I
Part B: What percentage of the survey respondents did not like either pasta or rice?
Part C: Do the survey results reveal a greater dislike for rice or pasta? Justify your answer.
Answer:
Below
Step-by-step explanation:
Part A:
Like Pasta / Like Rice: A = 20
Like Rice / Do not like Pasta: B = 60
Total: C = 80
Do not like rice / Like Pasta: D = 40
Do not like rice & Pasta: E = 80
Total F = 120
Total G = 60
Total H = 140
Total I = 200
Part B: Using the rule of three:
If 200 represents 100%, then how much 80 represents?
(80 * 100) / 200 = 40%
40% did not like pasta nor rice.
Part C:
From the survey we know that:
30% like rice, and 20% dislike pasta. So yes, the survey reveals a greater dislike for rice.
Use the distributive property to remove the parentheses.
-5(6y - u - 2)
Answer:
5u - 30y + 10
Step-by-step explanation:
The prism below is made of cubes which measure of a foot on one side. What is the volume?
A. 12 cubic ft.
B. 4/3 cubic ft.
C. 10/3 cubic ft.
D. 36 cubic ft.
Answer:
the answer is B. 4/3 cubic ft.
Step-by-step explanation:
use the formula
V = LWH
using 1/3 for each calculation
length = 3 (1/3 ft)
width = 4 (1/3 ft)
height = 3 (1/3 ft)
then you substitute those dimension
V = (3/3 ft.) (4/3 ft.) (3/3 ft.)
V = (1 ft.) (4/3 ft.) (1 ft.)
V = 4/3 cubic ft
if logM/N = 4 and logP/N =7, what can you say about the relationship between M and P?
A. P= 3M
B. M= 3P
C. P= 1000M
D. P= 100M
Answer:
C. P= 1000M
Step-by-step explanation:
[tex]log(\frac{M}{N} )=4[/tex]
Using the quotient rule of logs we can write:
log(M) - log(N) = 4
or
log(M) - 4 = log(N) (Equation 1)
[tex]log(\frac{P}{N} )=4[/tex]
Using the quotient rule of logs we can write:
log(P) - log(N) = 7
or
log(P) - 7 = log(N) (Equation 2)
Comparing equation 1 and 2, we can write:
log(M) - 4 = log(P) - 7
-4 + 7 = log(P) - log(M)
log(P) - log(M) = 3
[tex]log(\frac{P}{M} )=3[/tex]
Converting the log to exponential form we get:
[tex]\frac{P}{M}=10^{3}\\\\\frac{P}{M}=1000\\\\P=1000M[/tex]
Thus, option C gives the correct answer.
Final answer:
The relationship between M and P is that P is 1000 times greater than M; hence, the correct option is P = 1000M.
Explanation:
Given the two equations log(M/N) = 4 and log(P/N) = 7, we need to find the relationship between M and P.
To understand this relationship, we use the property of logarithms that equates to a multiplication by 10 for each unity increase in logarithmic value.
From the first equation, M/N = 10⁴, and from the second equation, P/N = 10⁷. Simplifying these, M = 10⁴ N and P = 10⁷ N.
To find the relationship between M and P, we can divide the equation for P by the equation for M:
P/M = (10⁷ N) / (10⁴ N) = 10³ = 1000.
Therefore, P is 1000 times M, which means P = 1000M
find the value of x -3x - 0.2 = 4.9
Answer:
-2 11⁄20 = -2.55
Step-by-step explanation:
Combine like-terms to get -2x - 0.2 = 4.9. So, straight off the bat, we know that -2x has to equal 5.1 [move 0.2 to the right side of the equivalence symbol]. Then you would simply divide by -2 to get the above answer.
I am joyous to assist you anytime.
Dividing polynomials using long division:
(9x^2-38x-31)/(x-5)
Answer:
the answer is 9x+7+ 4/x−5
Step-by-step explanation:
The yearly income for an individual with an associate’s degree in 2001 was $53,166 and in 2003 it was $56,970. What is the ratio of the income in 2001 to the income in 2003 in simplest form?
Answer:
8861 : 9495
Step-by-step explanation:
Ratio of income in 2001 to 2003:
53,166 : 56,970
Then, you can simplify by dividing both sides by 6:
8,861 : 9,495
Can't simplify anymore, Therefore this is the answer!
8861 : 9495
Hope I helped! Have a good day :)
Answer:
[tex]\frac{8861}{9495}[/tex]
Step-by-step explanation:
Income of an individual in 2001 = [tex]\$ 53,166[/tex]
Income of an individual in 2003 = [tex]\$ 56,970[/tex]
Here, we need to find ratio of income in 2001 to the income in 2003 in simplest form .
i.e we need to convert [tex]\frac{\$53,166}{\$ 56,970}[/tex] in simplest form .
A fraction [tex]\frac{a}{b}[/tex] is said to be in simplest form if [tex]HCF(a,b)=1[/tex]
So, we will first find [tex]HCF(53166,56970)[/tex] then divide both numerator and denominator by the HCF .
Here,
[tex]53166=2\times 3\times 8861[/tex]
[tex]56970=2\times 3\times 3\times 3\times 5\times 211[/tex]
So, [tex]HCF(53166,56970)=2\times 3=6[/tex]
On dividing both numerator and denominator by 6 , we get
[tex]\frac{53166}{56970}=\frac{8861}{9495}[/tex]
Ethan's car can drive 30 miles per gallon of gasoline. Gasoline costs $4 per gallon, including tax. Ethan drove 180 miles on a trip. What was the total cost, in dollars, of gasoline that the car used for Ethan's trip?
I NEED THE ANSWER ASAP!!!!! THANKS
24$ I believe is the answer You divide the total number of miles driven, to the number of miles per gallon . 180 divided by 30 = 6. Then multiply the answer 6 times dollars per gallon 4$ • 6 = 24 Your answer is 24 :)
Ethan's trip cost $24 in gasoline expenses, calculated by dividing the distance by the fuel economy to find the gallons used and then multiplying that by the cost per gallon.
Explanation:To calculate the total cost of gasoline for Ethan's trip, we need to know two things: the fuel economy of the car and the distance traveled. The fuel economy is given as 30 miles per gallon, and the distance traveled is 180 miles.
First, we calculate how many gallons of gas were used during the trip:
Divide the total miles driven by the car's miles per gallon to get the number of gallons needed: 180 miles ÷ 30 miles/gallon = 6 gallons. Multiply the number of gallons by the cost per gallon to find the total cost: 6 gallons × $4/gallon = $24.
Therefore, the total cost of gasoline for the trip was $24.
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Please need help on this
Answer:
SAS Similarity Theorem
Step-by-step explanation:
Google SAS Similarity Theorem for explanation.