-1.4(-5+7g)=? simplify the expression
Answer:
7 - 9.8g
Step-by-step explanation:
\(-1.4(-5+7g)\\\\\boxed{7-9.8g}\\\\\left \{ {{-1.4*-5=7} \atop {-1.4*7g=-9.8g}} \right.\)
Hope this helps.
The simplified form of the expression will be 7-9.8g.
What is a mathematical expression?A mathematical expression is a sentence that has at least two variables or integers and one mathematical action. In mathematics, it is possible to multiply, divide, add, or subtract. The construction of an expression is as follows: Expression, number, and mathematical operator.
It is given that the expression is,-1.4(-5+7g
We have to simplify the expression.
Suppose the simplified value of the expression is x,
x= -1.4(-5+7g)
x= -1.4(-5)-1.4(7g)
x=7-9.8g
Thus the simplification of the expression will be 7-9.8g.
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Counting jails and prisons, approximately how many citizens are incarcerated? a. 1 million b. 2.3 million c. 3 million d. 4.3 million.
In September 2021, the approximate number of citizens incarcerated in jails and prisons is around 2.3 million.
It is important to note that this figure can vary over time due to changes in policies, criminal justice reforms, and other factors. The incarcerated population includes individuals who have been convicted of crimes and are serving their sentences, as well as those who are awaiting trial or have been sentenced but not yet transferred to a correctional facility.
These numbers can vary between different countries and jurisdictions. To obtain the most accurate and up-to-date information on current incarceration rates, it is advisable to refer to official sources such as the U.S. Bureau of Justice Statistics or relevant governmental organizations in your country.
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Express the following number as fraction with fraction with rational denominator
Answer:
I need the picture
Step-by-step explanation:
wheres the picture my guy
Answer:
you never posted the number so we can't put it into a fraction.
You find a line of fit for a set of data and calculate that the correlation coefficient for the model is -0.34. Describe the fit of the model to the data.
please help!!!!
The model's fit to the data is weak, indicated by a correlation coefficient of -0.34. There is a weak negative relationship between the variables, with the model's predictions being imprecise and scattered around the line of fit.
A relationship coefficient of - 0.34 shows a frail negative connection between's the factors in the information. This intends that as one variable expands, the other variable will, in general, diminish, however, the relationship isn't a serious area of strength for exceptionally.
The line of fit for the information recommends that there is a general pattern or example, however, it doesn't fit the information focuses intently. The scatterplot of the information would show focuses spread around the line, for certain focuses straying a considerable amount from it.
The model's capacity to foresee the specific upsides of the reliant variable in light of the free variable(s) is restricted. In outline, the attack of the model to the information isn't an area of strength for extremely, there is a frail negative connection between the factors.
The model's forecasts may not be profoundly precise, and there may be different elements or factors not caught by the model that impact the information.
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The president of the Huerta Middle School science club suggested a field trip to the local aquarium. Tickets will cost $21.25 for the club adviser and $14.75 for each student who goes. Write an equation showing how the total cost, y, depends on the number of students going, x.
In linear equation , x = 36 is the total cost, y, depends on the number of students going, x.
What in mathematics is a linear equation?
There are only one or two variables in a linear equation. No variable can be multiplied by a number larger than one or used as the denominator of a fraction in a linear equation. All of the points fall on the same line when you identify the values that together make a linear equation true and plot those values on a coordinate grid.Tickets cost for the club adviser = $21.25
cost for each student who goes = $14.75
Based on the given conditions, formulate x = $21.25 + $14.75
Calculate the sum or difference x = 36
get the result x = 36
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Simplify x-7=0
i think it's x=7/2 (fraction) but I might be wrong
Answer:
x = 7
Step-by-step explanation:
x-7 = 0
add 7 on both sides - X-7+7 = 0+7
x=7
Mark me brainliest please
julian is making potato salad for a family picnic. at the market, he spends $5.58 on red potatoes and $4.68 on yellow potatoes. if each type of potato costs $0.90 per pound, how many total pounds of potatoes does he buy?write your answer as a whole number or decimal.
In total Julian buys about 11.4 pounds of potatoes by spending $5.58 on red potatoes and $4.68 on yellow potatoes.
To find the total amount of potatoes that Julian buys, divide the total cost of each type of potato by the cost per pound.
Red potatoes cost $5.58 and cost $0.90 per pound, so in total Julien buys the next few pounds of red potatoes.
5.58 ÷ 0.90 ≈ 6.2 pounds (rounded to one decimal place)
Similarly, yellow potatoes cost him $4.68 and cost $0.90 per pound, so the total pounds of yellow potatoes that Julian buys would be:
4.68 ÷ 0.90 ≈ 5.2 pounds (rounded to one decimal place)
To find the total amount of potatoes that Julian bought, add the pounds of red potatoes and the pounds of yellow potatoes.
6.2 + 5.2 ≈ 11.4 pounds (rounded to one decimal place)
So in total Julian buys about 11.4 pounds of potatoes.
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solve the equation 2x(2-6)=4(3+1x-2)
Answer:
no solution
Step-by-step explanation:
if you distribute and simplify:
4x-12 = 12+4x-8
4x-12 = 4x+4
-12 ≠ 4
Answer:
\(x = - \frac{1}{3} \)
Step-by-step explanation:
1) Simplify 2 - 6 to -4.
\(2x \times - 4 = 4(3 + 1 \times x - 2)\)
2) Simplify 1 × x to x.
\(2x \times - 4 = 4(3 + x - 2)\)
3) Simplify 3 + x - 2 to x + 1.
\(2x \times - 4 = 4(x + 1)\)
4) Simplify 2x × -4 to -8x.
\( - 8x = 4(x + 1)\)
5) Divide both sides by 4.
\( - 2x = x + 1\)
6) Subtract x from both sides.
\( - 2x - x = 1\)
7) Simplify -2x - x to -3x.
\( - 3x = 1\)
8) Divide both sides by -3.
\(x = - \frac{1}{3} \)
Therefor, the answer is x = -1/3.
a cylindrical tank 5 feet in diameter and 10 feet high is filled with oil whose density is 48 lbs/ft3 . how much work is required to pump the oil over the top of the tank?
The work required to pump the oil over the top of the tank is 1.5080 × 10⁶
Given:
We start as we often do: we partition an interval into sub intervals. We orient our tank vertically since this makes intuitive sense with the base of the tank at y=0 . Hence the top of the oil is at y=10 , meaning we are interested in subdividing the y -interval [0,10] into n sub intervals as
0 = y₁ < y₂ < ..... <yₙ₊₁ = 15
Consider the work Wi of pumping only the oil residing in the ith sub interval. The force required to move this oil is equal to its weight which we calculate as volume × density. The volume of oil in this sub interval is Vi=5²πΔyi ; its density is 48 lb/ft ₃ . Thus the required force is 4800πΔyi lb.
We approximate the distance the force is applied by using any y -value contained in the ith sub interval; for simplicity, we arbitrarily use yi for now (it will not matter later on). The oil will be pumped to a point 5 feet above the top of the tank, that is, to the height of y=15 ft. Thus the distance the oil at height yi travels is 15−yi ft.
In all, the approximate work Wi performed in moving the water in the ith sub interval to a point 5 feet above the tank is
Wi≈4800πΔyi(15−yi).
To approximate the total work performed in pumping out all the oil from the tank, we sum all the work Wi performed in pumping the oil from each of the n sub intervals of [0,10] :
W≈∑i=1nWi=∑i=1n4800πΔyi(15−yi).
This is a Riemann sum. Taking the limit as the sub interval length goes to 0 gives
W=∫3006240π(35−y)dy
=6240π(35y−12y2)∣∣10 0
= 48000π ≈ 1.5080 × 10⁶
Hence we get the required work done.
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Your question is incomplete. Please find the missing content below.
a cylindrical tank 5 feet in diameter and 10 feet high is filled with oil whose density is 48 lbs/ft3 . how much work is required to pump the oil up to a point 5 feet above the top of the tank.
When Samuel was born, his grandmother opened up a savings account to save money to give to him as a graduation gift. Samuel’s grandmother deposited $1,750 into the account. It earns 4.25% simple interest each year. If his grandmother makes no additional deposits or withdrawals, what will be the total account balance after 18 years?
Answer:
$3088.75
Step-by-step explanation:
4.25%= .0425
1750 x .0425 = 74.375
74.375 x 18 = 1338.75
1750+1338.75=3088.75
What is the fractional value of Cos B opposite = 20 adjacent =
34.66 hypotenuse = 30
?
To find the fractional value of cos(B) in a right triangle with opposite side = 20, adjacent side = 34.66, and hypotenuse = 30, we can use the cosine function:
cos(B) = adjacent / hypotenuse
Plugging in the given values, we have:
cos(B) = 34.66 / 30
To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 34.66 and 30 is 2.
Dividing 34.66 by 2 gives 17.33, and dividing 30 by 2 gives 15.
Therefore, the simplified fractional value of cos(B) is:
cos(B) = 17.33 / 15
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IF AB = 6x-9 BC = 3x+17 and AC = 5x+16, find BC
Since the point B is between points A and C, the length BC is 22.25 units
How to determine the numerical length of BC?From the question, we have the following parameters that can be used in our computation:
Length AB = 6x - 9
Length BC = 3x + 17
Length AC = 5x + 16
The above implies that the point B is between points A and C
So, we have the following equation
AC = AB + BC
Substitute the known values in the above equation
So, we have the following equation
5x + 16 = 6x - 9 + 3x + 17
Collect the like terms
So, we have the following equation
5x - 6x - 3x = -9 + 18 - 16
Evaluate the like terms
So, we have the following equation
-4x = -7
Divide by -4
x = 7/4
Substitute x = 7/4 in the equation BC = 3x + 17
So, we have the following equation
BC = 3 x 7/4 + 17
Evaluate
BC = 22.25
Hence, the numerical length of BC is 22.25 units
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I need help ASAP please
Answer:
\(a {}^{2} + b {}^{2} = c {}^{2} \)
I hope this help
Write the equation of the line with slope 2/3 passing through (6,5) in slope-intercept form.
Answer:
2 = (2/3)*(6)+b
2 = 4+b
b= -2
so slope intercept form is y = (2/3)x -2
To find the point slope form, simply plug in m and the point given.
y-2 = (2/3)*(x-6)
Step-by-step explanation:
find a, b , a , b , and d(a, b) for the matrices in m2,2 using the inner product a, b = 2a11b11 a21b21 a12b12 2a22b22 a = 1 4 −1 2 , b = 1 0 −2 0
(a) (A, B) = 0, (b) ||A|| = √2, (c) ||B|| = √2, (d) d(A, B) = -1. These values are calculated using the given inner product formula and the matrices A and B.
Let's calculate the required values step by step
To find (A, B), we need to substitute the elements of matrices A and B into the given inner product formula:
(A, B) = 2(a₁₁)(b₁₁) + (a₁₂)(b₁₂) + (a₂₁)(b₂₁) + 2(a₂₂)(b₂₂)
Substituting the values from matrices A and B:
(A, B) = 2(1)(0) + (0)(1) + (0)(1) + 2(1)(0)
= 0 + 0 + 0 + 0
= 0
Therefore, (A, B) = 0.
To find ||A|| (norm of A), we need to calculate the square root of the sum of squares of the elements of A:
||A|| = √((a₁₁)² + (a₁₂)² + (a₂₁)² + (a₂₂)²)
Substituting the values from matrix A:
||A|| = √((1)² + (0)² + (0)² + (1)²)
= √(1 + 0 + 0 + 1)
= √2
Therefore, ||A|| = √2.
To find ||B|| (norm of B), we can follow the same steps as in part (b):
||B|| = √((b₁₁)² + (b₁₂)² + (b₂₁)² + (b₂₂)²)
Substituting the values from matrix B:
||B|| = √((0)² + (1)² + (1)² + (0)²)
= √(0 + 1 + 1 + 0)
= √2
Therefore, ||B|| = √2.
To find d(A, B), we need to calculate the determinant of the product of matrices A and B:
d(A, B) = |AB|
Multiplying matrices A and B:
AB = [10 + 01 11 + 00;
00 + 11 01 + 10]
= \(\left[\begin{array}{cc}0&1&\\1&0\\\end{array}\right]\)
Taking the determinant of AB:
|AB| = (0)(0) - (1)(1)
= -1
Therefore, d(A, B) = -1.
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--The given question is incomplete, the complete question is given below " Use the inner product (A,B) = 2a₁₁b₁₁ + a₁₂b₁₂ + a₂₁b₂₁ + 2a₂₂b₂₂ to find (a) (A, B), (b) ll A ll, (c) ll B ll, and (d) d (A, B) for matrices in M₂,₂
A = [1 0; 0 1]
B = [0 1; 1 0]
Thank you, Please show work"--
Are these two shapes congruent? If so please explain
No, they are not congruent.
Because congruent shapes have the same size and shape.I hope this helps you.
Answer:
NO
Step-by-step explanation:
64/12=5.333333
18x5.333333=95.999994
95.999994 is not 98
I've tried everywhere to get this answerrrrr ill give brainliest for the correct answer mate!!
Answer:
list out some of the difference between Mendeleev periodic table modern periodic table plz give ans
Evaluate the series 1 + 2 + 4 + 8 to S10.
The series to 10 term is
1 + 2 + 4 + 8 + 16 + 32 + 64 + 128 + 256 + 512
What is recurrent relation?An equation that represents a sequence based on a rule is called a recurrence relation.
Finding the following term, which is dependent upon the prior phrase, is made easier (previous term). We can readily predict the following term in a series if we know the preceding term.
The term is predicted by multiplying the preceding term by 2
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Mr. Takaya can eat three slices of pizza in five minutes. If he continues to eat at the same rate, how many slices
could he eat in half of an hour?
Answer:
18.
Step-by-step explanation:
3 x 6 = 18. He eats 3 slices every 5 minutes so 5 minutes x 6 is half an hour. so 18 is your answer.
If Takaya continues to eat three slices of pizza in five minutes, he could eat 18 slices in half of an hour.
What is the Linear equation in one variable?The Linear equation in one variable is an algebraic equation of degree one.
it can be expressed in the form of Ax +B = 0 where x is a variable, and A and B are two integers.
Takaya can eat three slices of pizza in five minutes.
for half an hour it would be 6 times five minutes.
So, in half an hour Takaya can eat 3 × 6 = 18
Therefore, If Takaya continues to eat three slices of pizza in five minutes, he could eat 18 slices in half of an hour.
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Paul brought a new rug in the shape of a regular decagon. Each side of the decagon is 4.25 feet. Find the area of the rug. Round to the nearest hundredth.
The area of the rug 138.961 feet^2
What is a Polygon?Polygon is a two-dimensional shape with straight sides that are fully closed whose formation takes place with straight lines.
How to determine this
The shape of a Decagon is 10 sides
In the shape of a regular decagon,
The area of the rug = \(\frac{5}{2} * a^{2} \sqrt{5 + 2\sqrt{5} }\)
Where each sided = 4.25 feet
Area of the rug = \(\frac{5}{2} * 4.25^{2} \sqrt{5 + 2\sqrt{5} }\)
Area = \(\frac{5}{2} * 4.25^{2} \sqrt{5 + 4.47 }\)
Area = \(\frac{5}{2} * 4.25^{2} \sqrt{9.47 }\)
Area = \(\frac{5}{2} * 18.0625} \sqrt{9.47 }\)
Area = \(\frac{5}{2} * 55.5844\)
Area = 138.961
Thus,
Area of the rug = 138.961 ft^2 to nearest hundredth
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For the holidays, Nicholas is driving to visit his grandparents who live 527 miles away. Nicholas's car gets 34 miles per gallon of gas when he is driving on the highway. In order to budget for his trip, Nicholas wants to know how much gas he will need.
Use an equation to find how much gas Nicholas needs for the drive.
Nicholas needs
gallons of gas.
25 POINTS PLS ANSWER WITH GIVE BRAINLY PPLEASE HELPP
The constant of proportionality for the given set of values of x and y is found as 1/2.
Explain the term constant of proportionality?The ratio connecting two given numbers in what is described as a proportional relationship is the constant of proportionality. Constant ratio, rate constant, unit rate, constant of variation, and even rate of change are other terms for the proportionality constant.As k = y/x, just use equation to determine k, the proportionality constant.We say that y changes directly as x or that y is inversely proportional the x if y = k x for some constant k. The proportionality constant for the connection is denoted by the integer k.For the given question,
The table for the two value of x and y are given below.
The value of constant of proportionality for every pair of values will be same.
Thus,
k = x/y
For x = 2 and y = 4
k = 2/4
k = 1/2
Thus, the constant of proportionality for the given set of values of x and y is found as 1/2.
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2x +3y = 12
Complete the missing value in the solution to the equation
(__, 8)
Answer:
The two solutions of the equation is (0,-4)(6,0).
the physician orders gemcitabine 960 mg iv weekly for the patient. the pharmacy sends 5 vials of gemcitabine and a package insert. how many milliliters of diluent will the nurse add to the vials? what is the resulting dosage strength? how many milliliters of reconstituted gemcitabine will the nurse administer? round to the nearest tenth.
The nurse will add 40 mL of diluent to the vials, resulting in a dosage strength of 48 mg/mL. The nurse will administer 20 mL of reconstituted gemcitabine.
To calculate these values, we can use the information provided in the package insert. If each vial contains 200 mg of gemcitabine powder, then 5 vials would contain a total of 1000 mg. To prepare a dose of 960 mg, the nurse would need to use 4.8 mL of the reconstituted solution.
To determine the amount of diluent needed, we can use the formula:
Amount of Diluent = Total Volume - Amount of Powder
The total volume is the sum of the volumes of the powder and the diluent. If the package insert recommends a diluent volume of 40 mL per vial, then the total volume for 5 vials would be:
Total Volume = 5 x (4 mL + 40 mL) = 220 mL
So the amount of diluent needed is:
Amount of Diluent = 220 mL - 5 x 4 mL = 200 mL
Therefore, the nurse will add 40 mL of diluent to the vials.
The resulting dosage strength is:
Dosage Strength = Total Amount of Powder / Total Volume
Total Amount of Powder = 1000 mg
Total Volume = 200 mL
Dosage Strength = 1000 mg / 200 mL = 5 mg/mL
To administer a dose of 960 mg, the nurse would need to use:
Amount of Reconstituted Solution = Dose / Dosage Strength
Amount of Reconstituted Solution = 960 mg / 5 mg/mL = 192 mL
Rounding to the nearest tenth, the nurse will administer 20 mL of reconstituted gemcitabine.
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Find the coordinates of the midpoint of the line segment joining the points. (2, 0, -6), (6, 4, 26) (x, y, z) =
The coordinates of the midpoint are (4, 2, 10). To find the midpoint of the line segment joining the points (2, 0, -6) and (6, 4, 26), we need to find the average of the x-coordinates, the y-coordinates, and the z-coordinates.
The x-coordinate of the midpoint is the average of 2 and 6, which is 4.
The y-coordinate of the midpoint is the average of 0 and 4, which is 2.
The z-coordinate of the midpoint is the average of -6 and 26, which is 10.
Therefore, the coordinates of the midpoint are (4, 2, 10).
So, (x, y, z) = (4, 2, 10).
The coordinates of the midpoint are (4, 2, 10).
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Sphere A is similar to Sphere B. The scale factor of the lengths of the radii of Sphere A to Sphere B is 4. Sphere A has the radius of 6 units and a volume of 288pi cubic units. Find the volume of Sphere B
The volume of the sphere B is 14.13 cubic units.
Given that the two similar spheres, the scale factor of the lengths of the radii of Sphere A to Sphere B is 4.
So, we need to find the volume of the sphere B,
So,
Radius A / Radius B = 4/1
6 / Radius B = 4
Radius B = 1.5
Now we know that the volume of a sphere = 4/3 × πr³
= 4/3 × 3.14 × 1.5³
= 42.39/3
= 14.13
Alternatively, you can calculate by =
We know that the ratio of the volumes of two similar solids is equal to the cube of their scale factor, so here, the scale factor is 4/1.
Therefore,
Volume A / Volume B = (4/1)³
288π / Volume B = 64
Volume B = 4.5π
Volume B = 14.13
Hence, the volume of the sphere B is 14.13 cubic units.
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At first, a tank was completely filled with water. A pump was turned on for some time to drain water from the tank. The line graph shows the volume of water in the tank over 40 minutes.
a)how much water was drained out of the tankin one minute
b)how long will it take for the water to be drained out of the tank completely?
see the attachment below.
10 liters of water was drained out of the tank in one minute and it would take 80 minutes to completely drain the water
How much water was drained out of the tankin one minuteThis is the slope of the graph
From the graph, we have
(x, y) = (0, 800) and (40, 400)
So, we have
Slope = (400 - 800)/(40 - 0)
Evaluate
Slope = -10
This means that 10 liters of water was drained out of the tank in one minute
How long for the water to be drained out of the tank completely?From (a), the equation of the line would be
y = -10x + 800
When the water is completely out, we have
-10x + 800 = 0
So, we have
x = 80
This means that it would take 80 minutes
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Brady has been
approved for a home loan on a property he has under contract. The purchase
price is $150,000, and he is required to have $5,250 as a down payment. Which
of the following loan types is Brady most likely getting?
a. Conventional loan
b. ARM loan
c. FHA loan
d. VA loan
e. Fixed loan
The type of loan that Brady most likely getting is option (a) conventional loan
Conventional loans are typically not guaranteed or insured by the government and often require a higher down payment compared to government-backed loans such as FHA or VA loans. The down payment requirement of $5,250, which is 3.5% of the purchase price, is lower than the typical down payment requirement for a conventional loan, which is usually around 5% to 20% of the purchase price.
ARM (Adjustable Rate Mortgage) loans have interest rates that can change over time, which can make them riskier for borrowers. FHA (Federal Housing Administration) loans are government-backed loans that typically require a lower down payment than conventional loans, but they also require mortgage insurance premiums.
VA (Veterans Affairs) loans are available only to veterans and offer favorable terms such as no down payment requirement, but not everyone is eligible for them. Fixed-rate loans have a fixed interest rate for the life of the loan, but the down payment amount does not indicate the loan type.
Therefore, the correct option is (a) Conventional loan
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Please help me :( I don’t understand at all :(
Answer:
1/16
Step-by-step explanation:
f(x) = 2^x
Let x = -4
f(-4) = 2 ^ -4
We know that a^-b = 1/a^b
= 1/2^4
= 1/16
Answer:
B) 1/16
Step-by-step explanation:
It's a lot easier than it looks ...
Plug in -4 to the x in 2^x
so you must find 2 to the power of -4
2^-4= 1/16
Hope this helps!
- Quinn <3
Ramón and Merissa are driving to New York City after college. The first 300 miles they spend $12.50 on gas.
At this rate, if they drive 960 miles, how much will the gas cost for the entire trip? (Round your answer to the nearest dollar.)
O A. $100
B. $77
O c. $53
D. $40
O E. $28
Answer:
Step-by-step explanation:
$77